id
stringlengths 4
11
| text
stringlengths 1
3.63k
| embedding
sequencelengths 1.02k
1.02k
|
|---|---|---|
1206_14 | The lobes can be viewed as standing wave interference patterns between the two counter rotating, ring resonant travelling wave "" and "" modes, with the projection of the orbital onto the xy plane having a resonant "" wavelengths around the circumference. Though rarely depicted, the travelling wave solutions can be viewed as rotating banded tori, with the bands representing phase information. For each there are two standing wave solutions and . For the case where the orbital is vertical, counter rotating information is unknown, and the orbital is z-axis symmetric. For the case where there are no counter rotating modes. There are only radial modes and the shape is spherically symmetric. For any given , the smaller is, the more radial nodes there are. For any given , the smaller is, the fewer radial nodes there are (zero for whichever first has that orbital). Loosely speaking is energy, is analogous to eccentricity, and is orientation. In the classical case, a ring resonant travelling wave, for example in a circular transmission line, unless actively forced, will spontaneously decay into a ring resonant standing wave because reflections will build up over time at even the smallest imperfection or discontinuity.
Generally speaking, the number determines the size and energy of the orbital for a given nucleus: as increases, the size of the orbital increases. When comparing different elements, the higher nuclear charge of heavier elements causes their orbitals to contract by comparison to lighter ones, so that the overall size of the whole atom remains very roughly constant, even as the number of electrons in heavier elements (higher ) increases.
Also in general terms, determines an orbital's shape, and its orientation. However, since some orbitals are described by equations in complex numbers, the shape sometimes depends on also. Together, the whole set of orbitals for a given and fill space as symmetrically as possible, though with increasingly complex sets of lobes and nodes. | [
-0.023166334256529808,
0.024089356884360313,
0.02228870801627636,
-0.007486312184482813,
-0.003605081234127283,
0.027009736746549606,
-0.0026517962105572224,
-0.03238142281770706,
-0.02395317330956459,
0.08691536635160446,
0.04409320652484894,
0.024210408329963684,
0.007626278791576624,
-0.023090677335858345,
-0.051719486713409424,
0.011394023895263672,
0.002598836086690426,
-0.022213049232959747,
-0.07420489937067032,
0.01103086769580841,
-0.04191426932811737,
-0.03389457240700722,
-0.005621354095637798,
-0.03247221186757088,
-0.037798501551151276,
0.026994604617357254,
-0.02354462258517742,
0.012188427150249481,
0.03906954824924469,
0.05105369910597801,
-0.004251953214406967,
-0.02336304448544979,
0.016266368329524994,
-0.018581489101052284,
-0.021153844892978668,
-0.015456832945346832,
-0.012665069662034512,
-0.06676020473241806,
0.007198813837021589,
-0.07123912870883942,
0.026540659368038177,
-0.030384061858057976,
-0.016917023807764053,
-0.006113128270953894,
0.024028830230236053,
-0.02940051443874836,
-0.015350911766290665,
-0.036012981086969376,
-0.00042912003118544817,
-0.02911301702260971,
0.0071609849110245705,
0.00794404000043869,
0.0054776049219071865,
0.0067789144814014435,
0.0035218577831983566,
-0.0005418970249593258,
0.003514292184263468,
0.007104241754859686,
-0.010070016607642174,
-0.001387369935400784,
0.016205841675400734,
-0.005314941052347422,
-0.044849783182144165,
-0.017386099323630333,
-0.028295915573835373,
0.010478567332029343,
-0.018006490543484688,
0.01873280294239521,
-0.017098600044846535,
-0.07505226880311966,
0.013716709800064564,
0.007770027965307236,
0.05447341874241829,
-0.02050318941473961,
-0.02797815389931202,
0.03241168335080147,
0.006680559366941452,
-0.03462088480591774,
-0.014397627674043179,
-0.021501868963241577,
-0.02834131009876728,
-0.003404588671401143,
-0.021653184667229652,
-0.026525529101490974,
-0.0029241633601486683,
-0.01696241833269596,
-0.038918230682611465,
0.03274457901716232,
0.0036448014434427023,
-0.01363348588347435,
0.04463794082403183,
0.044970832765102386,
-0.03592219203710556,
0.0026064016856253147,
0.028598545119166374,
0.005299809854477644,
0.005606222897768021,
0.02685842104256153,
-0.00006886017217766494,
0.018293989822268486,
0.026828158646821976,
0.07801803946495056,
0.002502372721210122,
0.04124848172068596,
-0.06470231711864471,
0.028825517743825912,
-0.023983435705304146,
0.025738690048456192,
0.031322214752435684,
-0.06155496463179588,
0.01007758267223835,
0.0014100671978667378,
0.030928796157240868,
-0.01665978692471981,
0.008761141449213028,
0.03344062715768814,
0.011840403079986572,
0.0022337883710861206,
-0.012248953804373741,
-0.021486736834049225,
-0.037253767251968384,
0.005749972071498632,
0.020291348919272423,
0.005931550171226263,
-0.010720671154558659,
0.004895042162388563,
-0.01473052054643631,
0.0073917401023209095,
-0.03843402490019798,
-0.020351873710751534,
0.017567677423357964,
-0.024452513083815575,
-0.005470039322972298,
0.003177616046741605,
0.015509792603552341,
0.04345768317580223,
-0.0070096696726977825,
0.026994604617357254,
0.04094585403800011,
-0.0038812311831861734,
0.013701577670872211,
-0.02915841154754162,
0.05353526398539543,
0.06791019439697266,
-0.05880102887749672,
0.0420655831694603,
0.014072299934923649,
0.01129566878080368,
-0.021486736834049225,
-0.04291294887661934,
0.031080111861228943,
0.013141712173819542,
-0.02732749842107296,
0.010387778282165527,
-0.01097034104168415,
-0.023786725476384163,
-0.05489709973335266,
-0.018838724121451378,
-0.047815557569265366,
0.0029865808319300413,
0.01909595914185047,
-0.009638768620789051,
0.041581377387046814,
0.02803867869079113,
-0.014632165431976318,
-0.007966737262904644,
-0.03023274801671505,
-0.058135244995355606,
-0.01093251258134842,
0.005174974910914898,
-0.010236463509500027,
-0.015078544616699219,
0.008783838711678982,
0.030368931591510773,
0.010576922446489334,
0.017885439097881317,
0.05686419829726219,
-0.020790688693523407,
-0.017053205519914627,
-0.003835836658254266,
0.0062303971499204636,
-0.022455153986811638,
0.039341915398836136,
0.03082287684082985,
0.04185374453663826,
-0.007493877783417702,
-0.029551830142736435,
0.01594860665500164,
-0.018354516476392746,
-0.00805752631276846,
0.014458153396844864,
0.017764387652277946,
-0.033168260008096695,
0.0040817237459123135,
-0.01570650190114975,
0.008927588351070881,
-0.022954493761062622,
0.01143941842019558,
-0.013678880408406258,
-0.024467643350362778,
0.0008747901301831007,
0.010690408758819103,
-0.05389842018485069,
0.0444563627243042,
-0.06893913447856903,
-0.01411012839525938,
0.05722735449671745,
0.07438647747039795,
0.0038150306791067123,
0.0234235692769289,
-0.013504868373274803,
-0.008466077037155628,
0.0029279461596161127,
0.041581377387046814,
0.0016890543047338724,
0.040037963539361954,
0.0005716871819458902,
0.027887364849448204,
-0.005190106108784676,
0.017401231452822685,
-0.0018876552348956466,
0.01973148249089718,
0.001895221066661179,
0.0497826524078846,
-0.022561075165867805,
-0.027478814125061035,
-0.013345987536013126,
0.025950532406568527,
0.06240232661366463,
0.03047485090792179,
-0.03344062715768814,
0.029612354934215546,
0.01582755520939827,
0.050599753856658936,
0.038676127791404724,
0.024391986429691315,
0.01802162267267704,
0.021305158734321594,
0.030066300183534622,
-0.009215086698532104,
0.021138712763786316,
-0.0026045104023069143,
0.04569714516401291,
0.0005404784460552037,
0.021683447062969208,
0.033289313316345215,
0.018339384347200394,
0.04533398896455765,
-0.006654079537838697,
0.038736652582883835,
-0.035589300096035004,
0.04963133856654167,
0.05435236543416977,
-0.03216958045959473,
-0.017295310273766518,
-0.01613018475472927,
0.02206173539161682,
0.05093264579772949,
-0.006302271969616413,
-0.06966544687747955,
0.037556394934654236,
-0.0070399329997599125,
0.02744854986667633,
0.018218332901597023,
0.050176072865724564,
0.04693792760372162,
0.04273137077689171,
0.013088752515614033,
-0.03425772860646248,
-0.034348517656326294,
-0.07033123821020126,
-0.001224706182256341,
-0.0015311192255467176,
-0.024407118558883667,
-0.002873094519600272,
0.004149815533310175,
0.004762641154229641,
-0.019761746749281883,
0.07299438118934631,
-0.03256300091743469,
-0.0073009515181183815,
0.037193238735198975,
-0.03604324534535408,
0.03359194099903107,
-0.039099808782339096,
0.054745785892009735,
-0.046453721821308136,
0.026222899556159973,
-0.020291348919272423,
0.04929844290018082,
-0.024921588599681854,
-0.037677448242902756,
0.00361642986536026,
-0.036436665803194046,
-0.024679485708475113,
0.01454894244670868,
0.0023718634620308876,
-0.016205841675400734,
-0.007785159628838301,
-0.019640693441033363,
0.008329893462359905,
0.01641768403351307,
-0.01570650190114975,
-0.004516754299402237,
-0.006185002624988556,
0.06694178283214569,
-0.020124902948737144,
0.0009093089029192924,
-0.017688728868961334,
0.01891438104212284,
-0.05135633051395416,
0.017265047878026962,
-0.0037053273990750313,
-0.0005839815130457282,
-0.02915841154754162,
0.02531500905752182,
0.06306811422109604,
0.0012398377293720841,
0.03135247901082039,
-0.04929844290018082,
-0.01336868479847908,
0.010471001267433167,
0.04760371521115303,
-0.048390552401542664,
0.010486133396625519,
0.07868383079767227,
0.01292230561375618,
0.0033818914089351892,
0.02186502516269684,
-0.05020633339881897,
-0.04926818236708641,
0.03961428254842758,
0.045212939381599426,
0.040461644530296326,
-0.019761746749281883,
0.01576702855527401,
-0.026949210092425346,
0.012498623691499233,
0.023695936426520348,
0.029899854212999344,
0.017461756244301796,
-0.010713106021285057,
0.0025099385529756546,
-0.0024096921551972628,
-0.01712886430323124,
0.02602618932723999,
0.0408853255212307,
-0.03504456579685211,
-0.017749255523085594,
0.005152277648448944,
-0.02840183489024639,
0.03628534823656082,
0.04079453647136688,
-0.002076799049973488,
0.021199239417910576,
0.04251952841877937,
-0.0338037833571434,
-0.026101846247911453,
-0.032865628600120544,
-0.010115411132574081,
-0.011462115682661533,
0.014374930411577225,
-0.023393306881189346,
-0.016387419775128365,
-0.024255802854895592,
-0.021834762766957283,
0.030278142541646957,
0.015048282220959663,
0.009676598012447357,
-0.042822159826755524,
0.018566356971859932,
-0.003737481776624918,
0.0077927252277731895,
-0.004047677852213383,
0.004615108948200941,
-0.007051281630992889,
0.07771541178226471,
0.0610404908657074,
0.04185374453663826,
-0.01336868479847908,
-0.0012275433400645852,
-0.03925112634897232,
0.014692692086100578,
0.000272367091383785,
-0.0409155897796154,
-0.003073587082326412,
-0.034711673855781555,
-0.04760371521115303,
-0.007217728067189455,
-0.03976559638977051,
-0.008874627761542797,
-0.03888797014951706,
-0.007800290826708078,
-0.04321558028459549,
-0.02691894769668579,
-0.008594694547355175,
0.06893913447856903,
0.007096676155924797,
0.015797290951013565,
0.007701936177909374,
0.008435814641416073,
0.03389457240700722,
0.017461756244301796,
0.001250240602530539,
-0.06170627847313881,
0.04805766046047211,
-0.007387957535684109,
-0.0037110017146915197,
-0.0031208728905767202,
0.006453587207943201,
-0.03029327280819416,
0.027872232720255852,
-0.06772861629724503,
-0.007187465205788612,
0.0016115052858367562,
0.025632770732045174,
-0.05656156688928604,
0.03858533874154091,
0.009532848373055458,
0.03274457901716232,
-0.011167051270604134,
0.016099922358989716,
-0.022243313491344452,
0.08576536923646927,
0.029264330863952637,
-0.06131285801529884,
-0.007263122592121363,
-0.05432210490107536,
0.03138274326920509,
0.020306479185819626,
-0.027493944391608238,
-0.01796109601855278,
-0.04291294887661934,
0.002317011822015047,
-0.024558432400226593,
-0.004024980589747429,
0.02732749842107296,
0.045787934213876724,
-0.012264085002243519,
-0.007327431347221136,
-0.006733519956469536,
0.015086110681295395,
-0.015918344259262085,
-0.0055986568331718445,
-0.02139594778418541,
0.012672635726630688,
-0.0009263318497687578,
-0.021365685388445854,
0.017159126698970795,
-0.024815669283270836,
0.0017656575655564666,
-0.044668205082416534,
0.045908987522125244,
-0.009328573010861874,
0.0033875657245516777,
0.0397050715982914,
-0.017945965752005577,
-0.011280537582933903,
0.03828270733356476,
0.012400268577039242,
-0.03764718398451805,
-0.04103664308786392,
-0.021153844892978668,
-0.03226036950945854,
-0.03253273665904999,
0.022137392312288284,
-0.015615713782608509,
0.05886155739426613,
0.01761307194828987,
-0.009056205861270428,
0.011288102716207504,
0.02655579149723053,
-0.0027274538297206163,
-0.007251773960888386,
0.015797290951013565,
-0.009721992537379265,
0.01259697787463665,
-0.00620769988745451,
-0.013769669458270073,
-0.027826838195323944,
0.0032778624445199966,
0.0020200558938086033,
-0.032684050500392914,
-0.047633979469537735,
0.01606965810060501,
-0.015494661405682564,
-0.00868548359721899,
0.03244194760918617,
-0.03480246290564537,
0.040401119738817215,
-0.03456035628914833,
-0.0018895467510446906,
0.014511113986372948,
-0.04848134145140648,
-0.013807498849928379,
-0.03338010236620903,
-0.0468471385538578,
-0.04103664308786392,
0.005451124627143145,
-0.0038566424045711756,
0.03350115194916725,
0.041702426970005035,
-0.031927477568387985,
0.015313083305954933,
0.015978869050741196,
0.022909099236130714,
-0.007210162468254566,
0.02927946299314499,
0.0027652825228869915,
0.03017222136259079,
0.016568997874855995,
0.010652579367160797,
-0.017461756244301796,
0.0025193956680595875,
0.016039395704865456,
0.029355119913816452,
0.0078078568913042545,
-0.011454549618065357,
-0.008814102038741112,
0.01979200914502144,
0.04261031746864319,
-0.031685370951890945,
0.019126223400235176,
0.041944533586502075,
-0.026177505031228065,
0.0314130038022995,
-0.038736652582883835,
-0.04037085548043251,
0.013391382060945034,
-0.0201551653444767,
0.02198607660830021,
-0.056410253047943115,
-0.034227464348077774,
-0.034106411039829254,
-0.03649719059467316,
-0.029551830142736435,
0.035649824887514114,
-0.015108807943761349,
-0.027872232720255852,
-0.03770771250128746,
-0.03528666868805885,
0.0038320536259561777,
-0.016553867608308792,
-0.013883155770599842,
-0.025708427652716637,
-0.036436665803194046,
-0.06615494191646576,
0.02507290430366993,
-0.0480273962020874,
-0.006162305362522602,
0.020609110593795776,
-0.01920188032090664,
0.044547151774168015,
0.02234923280775547,
0.007554403971880674,
-0.012460794299840927,
-0.047270823270082474,
0.035468246787786484,
0.003983368631452322,
-0.004823167342692614,
-0.02679789625108242,
0.05713656544685364,
-0.014980190433561802,
0.025768954306840897,
0.026359081268310547,
-0.01718938909471035,
0.03189721331000328,
-0.008950285613536835,
0.018218332901597023,
-0.014934795908629894,
-0.02929459512233734,
0.020760424435138702,
0.008140750229358673,
0.04878397285938263,
-0.008473643101751804,
-0.028068942949175835,
-0.03528666868805885,
0.0022318970877677202,
-0.05710630118846893,
-0.005296026822179556,
-0.0066389478743076324,
-0.010115411132574081,
-0.03223010525107384,
-0.015751896426081657,
-0.01998871937394142,
-0.0426708459854126,
0.017507150769233704,
0.039099808782339096,
-0.01103086769580841,
0.048602394759655,
-0.03241168335080147,
0.010909815318882465,
0.02626829408109188,
0.04245900362730026,
-0.0014393844176083803,
-0.02940051443874836,
-0.026828158646821976,
0.011908494867384434,
0.01488183531910181,
-0.04966159909963608,
-0.010168371722102165,
-0.008171012625098228,
0.017734123393893242,
-0.02958209253847599,
0.028613677248358727,
-0.026782764121890068,
-0.0009561220067553222,
0.004490274004638195,
0.027645260095596313,
0.009858176112174988,
-0.005727274809032679,
0.015335780568420887,
-0.011227576993405819,
0.020079508423805237,
0.021305158734321594,
0.026510396972298622,
-0.022515680640935898,
-0.004006065893918276,
0.03147353231906891,
-0.029385384172201157,
-0.016387419775128365,
0.030868271365761757,
-0.015797290951013565,
-0.057408932596445084,
-0.02464922145009041,
-0.048935286700725555,
-0.010682842694222927,
0.01233217678964138,
-0.027720917016267776,
-0.008019697852432728,
-0.0018763066036626697,
-0.034348517656326294,
-0.010160805657505989,
0.016342025250196457,
0.015842685475945473,
0.02188015729188919,
-0.04037085548043251,
-0.005443559028208256,
-0.03392483666539192,
0.022500548511743546,
0.06585231423377991,
0.016493340954184532,
-0.04439583793282509,
-0.05002475529909134,
-0.020079508423805237,
-0.013285461813211441,
-0.003998500294983387,
0.037132713943719864,
-0.01188579760491848,
0.0634312704205513,
0.00901081133633852,
0.04494057223200798,
0.03716297820210457,
0.010145674459636211,
-0.006173653993755579,
-0.00871574692428112,
-0.0003501524915918708,
-0.07148122787475586,
-0.052143167704343796,
0.04826950281858444,
0.012929871678352356,
0.04966159909963608,
-0.011197313666343689,
-0.04321558028459549,
-0.03900901973247528,
0.001215249067172408,
-0.024089356884360313,
-0.009404230862855911,
-0.02275778353214264,
-0.0693628191947937,
-0.0480273962020874,
-0.04908660426735878,
-0.01903543435037136,
0.013618354685604572,
0.02122950181365013,
-0.04793660715222359,
0.02328738570213318,
-0.01520716305822134,
0.011878231540322304,
0.009880873374640942,
0.023574884980916977,
0.0012048460775986314,
0.0325932614505291,
-0.069968082010746,
-0.03301694616675377,
-0.005087968427687883,
-0.02822025679051876,
-0.0234235692769289,
0.014889401383697987,
-0.0001980099332286045,
0.016447946429252625,
-0.015661107376217842,
0.051901064813137054,
-0.06110101938247681,
0.003937974106520414,
-0.011446983553469181,
-0.00606016768142581,
-0.01384532731026411,
0.04136953502893448,
-0.015933474525809288,
0.04966159909963608,
-0.021123580634593964,
0.019307801499962807,
0.009177258238196373,
0.01908082887530327,
-0.05008528381586075,
0.03580114245414734,
-0.014669994823634624,
0.04360899701714516,
-0.016932154074311256,
-0.006109345238655806,
-0.007236642297357321,
0.038676127791404724,
-0.07898645848035812,
0.02826565131545067,
-0.018293989822268486,
0.03331957384943962,
0.007229076698422432,
-0.034651145339012146,
-0.010395344346761703,
0.05138659104704857,
-0.0007404980133287609,
0.01625123620033264,
-0.026525529101490974,
-0.03216958045959473,
-0.013527565635740757,
0.01538874115794897,
0.0007844739593565464,
0.018642013892531395,
0.012642372399568558,
-0.04279189556837082,
0.0006780805997550488,
0.03271431475877762,
-0.04569714516401291,
0.0004506351542659104,
-0.036134034395217896,
-0.011749614030122757,
-0.030989322811365128,
-0.0049555678851902485,
-0.062220748513936996,
0.0034102629870176315,
-0.002241354202851653,
-0.026722237467765808,
0.053444474935531616,
-0.016992680728435516,
-0.0426708459854126,
0.00811805296689272,
-0.06397600471973419,
-0.04469846561551094,
-0.031261689960956573,
-0.03967480733990669,
0.023090677335858345,
-0.03925112634897232,
-0.04902607575058937,
-0.015691371634602547,
-0.04000769928097725,
0.04890502616763115,
-0.011250274255871773,
0.03059590421617031,
-0.0581049807369709,
0.05365631729364395,
-0.020836083218455315,
0.02846236154437065,
0.023574884980916977,
0.008435814641416073,
-0.015978869050741196,
-0.04481951892375946,
-0.024452513083815575,
0.014745651744306087,
-0.027539338916540146,
0.027221577242016792,
-0.0059996419586241245,
-0.037011660635471344,
-0.0014866703422740102,
0.0009003245504572988,
-0.01093251258134842,
0.004244387149810791,
-0.03664850443601608,
0.038373496383428574,
0.01167395617812872,
-0.03392483666539192,
0.01826372742652893,
0.008942719548940659,
-0.02277291566133499,
-0.025224220007658005,
-0.045787934213876724,
0.002944969106465578,
0.012907174415886402,
-0.00450540566816926,
0.01921701245009899,
0.017401231452822685,
0.015540055930614471,
0.004966916516423225,
-0.05541157349944115,
0.008193709887564182,
0.03419720008969307,
0.034772198647260666,
0.02929459512233734,
0.03177616000175476,
0.02702486887574196,
0.008972982876002789,
0.005057705566287041,
0.000334075273713097,
0.006332534831017256,
0.02868933416903019,
-0.029899854212999344,
0.04687740281224251,
-0.012846647761762142,
0.01392855029553175,
0.017991360276937485,
0.021728841587901115,
-0.012763424776494503,
0.01576702855527401,
-0.020730162039399147,
0.03216958045959473,
-0.011568035930395126,
0.016811102628707886,
-0.0006118802702985704,
-0.002241354202851653,
-0.050115544348955154,
-0.03692087158560753,
0.053505003452301025,
0.006850788835436106,
0.001609613886103034,
0.008526602759957314,
0.05386815965175629,
0.01832425221800804,
-0.014072299934923649,
0.057711560279130936,
0.01706833764910698,
0.02464922145009041,
-0.0007499552448280156,
0.04239847883582115,
0.03398536145687103,
0.02507290430366993,
-0.016584130004048347,
-0.037556394934654236,
-0.014367364346981049,
0.050055019557476044,
-0.06821282207965851,
-0.0234084390103817,
0.012649938464164734,
-0.006370363757014275,
0.0035804924555122852,
-0.0705128163099289,
-0.005178757477551699,
-0.034984041005373,
-0.034348517656326294,
0.02738802507519722,
-0.038857705891132355,
-0.04987344145774841,
0.05432210490107536,
0.006585987750440836,
0.0057537551037967205,
0.038676127791404724,
0.006453587207943201,
-0.025647900998592377,
0.06361284852027893,
0.023257123306393623,
0.014004208147525787,
-0.01678084023296833,
-0.0198676660656929,
0.0008639143779873848,
0.005235500633716583,
0.013444342650473118,
-0.03253273665904999,
-0.022197918966412544,
-0.007123155985027552,
0.0018829266773536801,
-0.030202483758330345,
0.004649154841899872,
-0.025148561224341393,
-0.0029619920533150434,
0.02169857919216156,
0.02744854986667633,
-0.028916306793689728,
0.028129467740654945,
0.005727274809032679,
0.032986681908369064,
0.01796109601855278,
-0.033531416207551956,
-0.033470891416072845,
-0.002761499723419547,
-0.060556285083293915,
-0.031806424260139465,
0.02062424086034298,
0.015237425453960896,
0.00823910441249609,
-0.0049593509174883366,
0.010183502919971943,
-0.009245350025594234,
0.0038434022571891546,
-0.044426098465919495,
0.00812561810016632,
0.017915701493620872,
0.04139979928731918,
0.04197479411959648,
-0.009790084324777126,
-0.060193128883838654,
0.01678084023296833,
0.010107845067977905,
0.0676075667142868,
-0.0016673026839271188,
0.03419720008969307,
0.005568393971771002,
0.0326235257089138,
-0.01902030222117901,
0.0195650365203619,
0.016508473083376884,
-0.024165013805031776,
0.04996423050761223,
-0.01702294312417507,
-0.003270296612754464,
-0.013043357990682125,
-0.01688675954937935,
0.03689061105251312,
0.046211618930101395,
0.013701577670872211,
0.014609468169510365,
0.00885949656367302,
0.03683008253574371,
-0.04884449765086174,
0.03407615050673485,
-0.036315612494945526,
0.05553262308239937,
0.0023737549781799316,
0.01617557927966118,
0.010054885409772396,
-0.041339270770549774,
0.27236708998680115,
0.05299052968621254,
0.07366016507148743,
0.02986959181725979,
-0.010304555296897888,
0.02911301702260971,
-0.01938345842063427,
-0.033652469515800476,
0.01576702855527401,
-0.029249200597405434,
-0.019943324849009514,
-0.0320182666182518,
0.01611505262553692,
-0.01708346977829933,
0.03637613728642464,
0.07093649357557297,
-0.010160805657505989,
0.013588091358542442,
0.008352590724825859,
-0.05819576978683472,
-0.052264221012592316,
0.004153598099946976,
-0.009616071358323097,
0.0013892613351345062,
-0.0005660128663294017,
0.013202237896621227,
0.013202237896621227,
-0.02797815389931202,
-0.01767359860241413,
-0.02352949045598507,
-0.07741278409957886,
-0.009903570637106895,
0.041460324078798294,
-0.005852109752595425,
-0.033107735216617584,
0.024437380954623222,
-0.015570319257676601,
-0.02470974810421467,
-0.022682126611471176,
-0.022303838282823563,
0.001905623939819634,
-0.054745785892009735,
0.021895287558436394,
-0.009131863713264465,
-0.03277483955025673,
0.0681523010134697,
-0.030611034482717514,
0.03695113584399223,
0.011605864390730858,
-0.021017661318182945,
0.03159458190202713,
-0.02318146638572216,
0.014480850659310818,
0.017522282898426056,
-0.05665235593914986,
0.0028409401420503855,
-0.005961813032627106,
0.011681522242724895,
-0.007607364095747471,
-0.02999064326286316,
0.04481951892375946,
0.019776877015829086,
-0.003328931052237749,
-0.01818806864321232,
0.004630240611732006,
0.031261689960956573,
-0.04254979267716408,
0.03652745485305786,
0.020170295611023903,
0.0034632233437150717,
0.003270296612754464,
-0.06930229067802429,
-0.014980190433561802,
0.01980714127421379,
0.026843290776014328,
-0.010017056949436665,
-0.0015159876784309745,
-0.01997358724474907,
-0.013255198486149311,
0.008647655136883259,
-0.004929088056087494,
0.006249311845749617,
-0.04136953502893448,
0.06409705430269241,
0.059951022267341614,
0.03135247901082039,
-0.019640693441033363,
-0.059557605534791946,
0.00764519302174449,
0.03961428254842758,
0.04197479411959648,
0.07523384690284729,
0.018233463168144226,
0.021123580634593964,
-0.02834131009876728
] |
1206_15 | The single s-orbitals () are shaped like spheres. For it is roughly a solid ball (it is most dense at the center and fades exponentially outwardly), but for or more, each single s-orbital is composed of spherically symmetric surfaces which are nested shells (i.e., the "wave-structure" is radial, following a sinusoidal radial component as well). See illustration of a cross-section of these nested shells, at right. The s-orbitals for all numbers are the only orbitals with an anti-node (a region of high wave function density) at the center of the nucleus. All other orbitals (p, d, f, etc.) have angular momentum, and thus avoid the nucleus (having a wave node at the nucleus). Recently, there has been an effort to experimentally image the 1s and 2p orbitals in a SrTiO3 crystal using scanning transmission electron microscopy with energy dispersive x-ray spectroscopy. Because the imaging was conducted using an electron beam, Coulombic beam-orbital interaction that is often termed as the impact parameter effect is included in the final outcome (see the figure at right).
The shapes of p, d and f-orbitals are described verbally here and shown graphically in the Orbitals table below. The three p-orbitals for have the form of two ellipsoids with a point of tangency at the nucleus (the two-lobed shape is sometimes referred to as a "dumbbell"—there are two lobes pointing in opposite directions from each other). The three p-orbitals in each shell are oriented at right angles to each other, as determined by their respective linear combination of values of . The overall result is a lobe pointing along each direction of the primary axes. | [
-0.013901404105126858,
0.025604786351323128,
0.05499424785375595,
-0.044135138392448425,
-0.029374904930591583,
0.021849222481250763,
-0.01697281375527382,
-0.01676902361214161,
-0.002481873845681548,
0.03708982095122337,
0.06573690474033356,
-0.00039165932685136795,
0.027526237070560455,
-0.025954140350222588,
-0.05790553614497185,
0.03193683922290802,
0.025721237063407898,
0.009410741738975048,
-0.058749809861183167,
-0.0030513945966959,
-0.035925306379795074,
-0.020684707909822464,
-0.04078715667128563,
-0.013297311961650848,
-0.03091788850724697,
0.01694370061159134,
-0.0227371659129858,
0.05819666385650635,
0.053072795271873474,
0.0162741057574749,
-0.010247737169265747,
-0.05004505440592766,
0.051820941269397736,
-0.06253448873758316,
-0.0013009821996092796,
-0.009337958879768848,
0.018195556476712227,
-0.027409784495830536,
0.020742934197187424,
-0.018151886761188507,
0.0627673864364624,
-0.009694592095911503,
0.0024927910417318344,
0.004730844404548407,
0.005309463012963533,
-0.03851635381579399,
0.006510369945317507,
-0.04858941212296486,
-0.051850054413080215,
-0.03478990122675896,
0.0022780834697186947,
0.00434145936742425,
0.03310135379433632,
-0.006259270943701267,
-0.003442599205300212,
-0.04762868583202362,
-0.007001649588346481,
0.007751306518912315,
-0.010961002670228481,
0.01636144332587719,
0.03362538665533066,
-0.03854546323418617,
-0.022562488913536072,
0.002851243596524,
-0.013239086605608463,
0.04035046324133873,
-0.005997254978865385,
0.03723538666963577,
-0.002465497702360153,
-0.05647900328040123,
-0.015095032751560211,
0.021223295480012894,
0.009010438807308674,
-0.006666851695626974,
-0.05479045584797859,
0.009163281880319118,
0.011950841173529625,
-0.005800743121653795,
-0.0459110252559185,
-0.007460177876055241,
-0.006648655980825424,
-0.013522936962544918,
0.010305962525308132,
-0.0011317635653540492,
-0.003060492454096675,
-0.027220550924539566,
-0.022402368485927582,
0.028399623930454254,
0.01678358018398285,
0.006754190195351839,
0.05380062013864517,
0.04023401439189911,
-0.013602997176349163,
-0.02299918234348297,
0.03278111293911934,
0.022271359339356422,
-0.004574362654238939,
-0.008872153237462044,
0.005815299693495035,
0.019942328333854675,
0.014738400466740131,
0.044746510684490204,
0.013901404105126858,
0.03805054724216461,
-0.04151498153805733,
0.051820941269397736,
-0.01198723167181015,
0.04212635010480881,
0.027802808210253716,
-0.019898660480976105,
0.030190065503120422,
0.0014192532980814576,
0.020990392193198204,
0.005491418763995171,
-0.012969791889190674,
0.034586112946271896,
0.021951118484139442,
0.029258454218506813,
-0.003300673794001341,
-0.010698987171053886,
-0.04183522239327431,
0.018443014472723007,
0.03764296695590019,
-0.0037919539026916027,
0.002714776899665594,
0.0055023361928761005,
0.0038247057236731052,
0.011674268171191216,
-0.00614281976595521,
-0.018865151330828667,
0.059594083577394485,
-0.0023890763986855745,
0.0231738593429327,
0.027438897639513016,
-0.026085149496793747,
0.04888053983449936,
-0.013064408674836159,
0.004064887296408415,
0.04797803983092308,
-0.0025965056847780943,
0.04160231724381447,
-0.0003791498893406242,
0.045445218682289124,
0.06177755072712898,
-0.06166109815239906,
0.052286747843027115,
-0.013530215248465538,
0.026609180495142937,
-0.02512442320585251,
-0.026041479781270027,
-0.029112888500094414,
-0.04125296324491501,
-0.017540516331791878,
0.03184949979186058,
-0.018297450616955757,
-0.022315029054880142,
-0.03994288295507431,
0.03304312750697136,
-0.03449877351522446,
-0.00805699173361063,
0.03161659836769104,
-0.021252408623695374,
0.036944255232810974,
0.051617152988910675,
-0.012314751744270325,
0.00632113590836525,
-0.044397156685590744,
-0.04943368583917618,
-0.01157965138554573,
-0.021063175052404404,
-0.006856085266917944,
0.0002888544404413551,
0.005833494942635298,
0.027176881209015846,
0.01537160575389862,
0.017860757187008858,
0.04486296325922012,
-0.02390168234705925,
-0.027060430496931076,
0.014898520894348621,
0.012889731675386429,
-0.0034189450088888407,
0.06847351789474487,
0.04789070412516594,
0.028341397643089294,
-0.027846477925777435,
-0.03755562752485275,
0.012846061959862709,
-0.013246364891529083,
-0.034964580088853836,
0.0010890039848163724,
0.029447687789797783,
0.0038501794915646315,
0.00833356473594904,
-0.03336337208747864,
-0.005855329800397158,
-0.04596925154328346,
0.029185671359300613,
-0.03676958009600639,
-0.002829408971592784,
-0.006484895944595337,
-0.03103433921933174,
-0.036274660378694534,
0.003668223973363638,
-0.02369789220392704,
-0.03048119507730007,
0.06177755072712898,
0.06649383902549744,
0.010567978955805302,
0.01738039404153824,
0.02340676262974739,
-0.020466361194849014,
-0.0011199364671483636,
0.022038457915186882,
0.017962653189897537,
0.0014510955661535263,
0.0052112070843577385,
0.02374156191945076,
-0.011244853027164936,
0.021892892196774483,
-0.009192395024001598,
0.026201600208878517,
-0.013683057390153408,
0.034586112946271896,
-0.031674824655056,
-0.00766396801918745,
-0.01263499353080988,
0.012940678745508194,
0.05295634642243385,
0.006288384087383747,
-0.015269710682332516,
0.028268614783883095,
0.018821483477950096,
0.03091788850724697,
0.01604120247066021,
0.009454410523176193,
0.03164571151137352,
0.036303773522377014,
0.025284543633461,
0.012751445174217224,
0.010174954310059547,
-0.0235377699136734,
0.021965675055980682,
0.0006027277559041977,
0.051471587270498276,
0.0024145501665771008,
-0.0032842978835105896,
0.05828400328755379,
-0.042941510677337646,
0.037351835519075394,
-0.027759140357375145,
0.034265872091054916,
0.021703658625483513,
-0.01650700718164444,
-0.04762868583202362,
-0.0236833356320858,
0.01246759481728077,
0.007700358983129263,
-0.013049852102994919,
0.0030404774006456137,
0.01580829918384552,
-0.028778091073036194,
0.03805054724216461,
0.013661223463714123,
0.014236202463507652,
0.035808853805065155,
0.013894126750528812,
0.0019269093172624707,
0.0014383586822077632,
-0.020146118476986885,
-0.09688769280910492,
-0.020073337480425835,
-0.010276849381625652,
-0.013326425105333328,
0.020335353910923004,
-0.01740950718522072,
-0.0043596550822257996,
-0.035372160375118256,
0.09479156881570816,
-0.04599836468696594,
0.0068961153738200665,
0.019884103909134865,
-0.012809671461582184,
0.035605061799287796,
-0.0008501873235218227,
0.03147103264927864,
-0.026434503495693207,
0.03289756551384926,
-0.04713376611471176,
0.020742934197187424,
-0.02257704548537731,
-0.01676902361214161,
0.021863779053092003,
-0.04917167127132416,
0.013253643177449703,
-0.008828483521938324,
0.026696519926190376,
-0.0460565909743309,
0.012554933317005634,
-0.009250620380043983,
-0.034877240657806396,
0.03877836838364601,
-0.03234441950917244,
0.008238947950303555,
0.015429831109941006,
0.044950298964977264,
-0.0020506391301751137,
-0.0018905182369053364,
-0.020131561905145645,
0.0052112070843577385,
-0.011477756313979626,
0.015153259038925171,
0.014039690606296062,
0.0038865706883370876,
-0.020335353910923004,
0.02532821334898472,
0.03155837208032608,
0.007172687910497189,
0.03214063122868538,
-0.0501323938369751,
-0.036420222371816635,
0.008173443377017975,
0.007969653233885765,
-0.05787642300128937,
-0.008661084808409214,
0.06358254700899124,
-0.017875313758850098,
-0.00017911249597091228,
0.006961619481444359,
-0.0479489266872406,
-0.04052514210343361,
0.0472211055457592,
0.03912772238254547,
0.0502779595553875,
-0.04285417124629021,
0.021354304626584053,
-0.03921506181359291,
0.0002777096815407276,
0.026740187779068947,
0.02330486848950386,
0.02275172248482704,
-0.0342949815094471,
0.004905521869659424,
-0.011659711599349976,
-0.030393855646252632,
0.04725021868944168,
0.03094700165092945,
-0.010931889526546001,
-0.027395227923989296,
-0.01206001453101635,
-0.020713821053504944,
0.0032151546329259872,
0.004628949332982302,
0.017365837469697,
0.02483329363167286,
0.045619897544384,
-0.03289756551384926,
-0.058837149292230606,
-0.036478448659181595,
0.010895499028265476,
-0.04017578810453415,
0.028617970645427704,
-0.010764490813016891,
-0.01628866232931614,
-0.0496957004070282,
0.007401952054351568,
0.0244111567735672,
-0.01653612032532692,
0.009236063808202744,
0.0055096144787967205,
0.014323540963232517,
-0.007387395482510328,
-0.011463199742138386,
0.017991766333580017,
0.008231669664382935,
-0.0011035604402422905,
0.07004561275243759,
0.02391623891890049,
0.03336337208747864,
-0.01681269332766533,
-0.000005995293577143457,
-0.003187861293554306,
0.013115356676280499,
-0.01695825718343258,
0.00788959302008152,
0.03397474065423012,
0.004727205261588097,
0.004909161012619734,
-0.018981603905558586,
-0.035867080092430115,
0.0011290342081338167,
-0.010873664170503616,
-0.011710659600794315,
-0.03336337208747864,
-0.029287565499544144,
-0.01586652360856533,
0.05479045584797859,
0.019520191475749016,
0.010524309240281582,
0.011128401383757591,
0.014046968892216682,
0.0492590069770813,
0.02347954548895359,
0.018879707902669907,
-0.03481901437044144,
0.021150514483451843,
-0.013239086605608463,
0.01245303824543953,
-0.006230158265680075,
0.003095064079388976,
-0.0478033646941185,
0.019505634903907776,
-0.03147103264927864,
0.030219178646802902,
0.012707776390016079,
0.026638293638825417,
-0.053451262414455414,
0.018690474331378937,
0.014789347536861897,
0.02515353634953499,
-0.008974048309028149,
-0.00848640687763691,
-0.043523769825696945,
0.025575673207640648,
0.002208940451964736,
-0.04168965667486191,
-0.043261751532554626,
-0.035896193236112595,
0.020029667764902115,
0.013377372175455093,
-0.05053997412323952,
-0.005942668300122023,
-0.029462244361639023,
0.003664584830403328,
-0.025342769920825958,
0.012358421459794044,
0.003577246330678463,
0.03275199979543686,
0.02532821334898472,
-0.02435293234884739,
0.021849222481250763,
0.0325482115149498,
-0.002551016863435507,
-0.0008342662476934493,
-0.0036536676343530416,
0.02398901991546154,
0.018020877614617348,
0.01550261303782463,
0.018006321042776108,
-0.02432381920516491,
0.004607114475220442,
-0.012744166888296604,
0.03141280636191368,
-0.011404974386096,
-0.01567729003727436,
0.008399068377912045,
0.010335075668990612,
-0.04035046324133873,
0.02493518963456154,
-0.021106844767928123,
-0.010706264525651932,
-0.03406208008527756,
-0.022678939625620842,
-0.053451262414455414,
-0.037293609231710434,
0.030160952359437943,
-0.03155837208032608,
0.045357879251241684,
0.019374627619981766,
-0.020408134907484055,
-0.0028621607925742865,
-0.002723874757066369,
0.00807882659137249,
-0.020597368478775024,
0.02259160205721855,
-0.030277404934167862,
0.0022289555054157972,
-0.008857596665620804,
-0.027380671352148056,
-0.051762714982032776,
-0.003458975115790963,
0.01219102181494236,
-0.029243897646665573,
-0.027133213356137276,
0.021252408623695374,
-0.01631777361035347,
-0.018675917759537697,
0.030131839215755463,
-0.052461426705121994,
-0.001771337352693081,
-0.025764906778931618,
-0.00316602666862309,
0.014694730751216412,
-0.025502890348434448,
-0.01611398346722126,
-0.02355232648551464,
-0.020087894052267075,
-0.03391651436686516,
0.006397557444870472,
-0.0031205378472805023,
0.045066751539707184,
0.04628949239850044,
-0.04800715297460556,
0.01697281375527382,
0.014046968892216682,
-0.01742406375706196,
0.004872769583016634,
0.01717660389840603,
-0.0033588996157050133,
0.03365449979901314,
-0.019185394048690796,
0.028064824640750885,
-0.03048119507730007,
-0.00315510923974216,
0.0018231946742162108,
0.06818238645792007,
0.04014667496085167,
-0.02318841591477394,
-0.027438897639513016,
0.05053997412323952,
0.03368361294269562,
-0.00208703032694757,
0.01704559661448002,
0.03872014209628105,
-0.007613020483404398,
-0.007700358983129263,
-0.037031594663858414,
-0.05647900328040123,
-0.014498218894004822,
-0.028210390359163284,
0.03394562751054764,
-0.06591158360242844,
-0.03292667865753174,
-0.052374087274074554,
-0.037031594663858414,
-0.02391623891890049,
0.02320297248661518,
0.01611398346722126,
-0.03449877351522446,
-0.006401196587830782,
-0.04570723697543144,
-0.030772322788834572,
0.006481256801635027,
-0.03764296695590019,
-0.020480917766690254,
-0.03837078809738159,
-0.08454383164644241,
0.04888053983449936,
-0.03860368952155113,
0.00614281976595521,
0.020568255335092545,
0.03368361294269562,
0.005786186549812555,
0.03976820781826973,
-0.021368861198425293,
0.009367072023451328,
-0.005829855799674988,
0.04716287925839424,
-0.03749740123748779,
0.01668168604373932,
-0.034673452377319336,
0.020684707909822464,
-0.02524087391793728,
0.02403268963098526,
0.013209973461925983,
-0.021179627627134323,
0.00855191145092249,
0.0060482025146484375,
0.015153259038925171,
-0.0680077075958252,
-0.051442474126815796,
0.0028712586499750614,
0.026521841064095497,
0.0332760326564312,
0.0328393392264843,
-0.015036807395517826,
-0.06591158360242844,
-0.014439992606639862,
-0.08419447392225266,
0.0001244121085619554,
0.006637738551944494,
-0.013683057390153408,
-0.04005933552980423,
-0.01200906652957201,
-0.006073676515370607,
-0.10404946655035019,
0.044688284397125244,
0.051995620131492615,
0.018239224329590797,
-0.0070999059826135635,
-0.010684430599212646,
0.017700636759400368,
0.01639055646955967,
0.0052039287984371185,
-0.015211484394967556,
0.0017449537990614772,
-0.03301401436328888,
0.004912800155580044,
-0.028021154925227165,
-0.052082959562540054,
-0.03336337208747864,
0.0009352515335194767,
0.03158748522400856,
-0.02489151991903782,
0.03787586838006973,
0.00783136673271656,
0.02369789220392704,
0.034586112946271896,
0.04250481724739075,
0.002920386614277959,
0.02545922063291073,
-0.0005481411353684962,
0.0068051377311348915,
-0.013115356676280499,
0.013530215248465538,
0.020801158621907234,
-0.019098054617643356,
-0.00810793973505497,
0.05432464927434921,
-0.017831644043326378,
-0.01558995246887207,
0.012911566533148289,
0.005116590298712254,
-0.07097722589969635,
-0.025400996208190918,
-0.05257787927985191,
-0.026201600208878517,
0.010691708885133266,
-0.0334215983748436,
-0.01695825718343258,
-0.02487696334719658,
-0.06666851788759232,
-0.02311563305556774,
0.019942328333854675,
-0.0009534471319057047,
0.02510986663401127,
-0.014978581108152866,
0.00435601593926549,
-0.021572651341557503,
-0.0056697349064052105,
0.10206978768110275,
0.011943562887609005,
-0.04681352525949478,
-0.025663010776042938,
0.017132936045527458,
-0.012132796458899975,
-0.006706881802529097,
0.028778091073036194,
0.017729749903082848,
0.03362538665533066,
0.008974048309028149,
0.0338582880795002,
0.036420222371816635,
0.017365837469697,
-0.0064375875517725945,
0.010633482597768307,
0.00435237679630518,
-0.06235980987548828,
-0.04142764210700989,
0.042999736964702606,
0.0004994680057279766,
0.052781667560338974,
-0.018122773617506027,
-0.03805054724216461,
0.00416314322501421,
-0.029214784502983093,
-0.022256802767515182,
-0.02362510934472084,
0.0122055783867836,
-0.02471684291958809,
-0.027438897639513016,
-0.06288383901119232,
-0.05647900328040123,
0.010771769098937511,
0.020611925050616264,
-0.04061248153448105,
-0.005858968943357468,
-0.02260615862905979,
0.028778091073036194,
0.0021925645414739847,
0.044426269829273224,
0.02379978634417057,
0.0008811198058538139,
-0.03377095237374306,
0.008224391378462315,
-0.03112167865037918,
-0.025895914062857628,
-0.04241747781634331,
-0.001119026681408286,
0.026623737066984177,
-0.001167244859971106,
0.0005608780193142593,
0.04206812381744385,
-0.04745401069521904,
0.0029786124359816313,
0.0064193918369710445,
-0.02259160205721855,
-0.0448920764029026,
-0.006088233087211847,
-0.01726394332945347,
0.013865013606846333,
0.027657244354486465,
-0.002860341453924775,
-0.01575007289648056,
0.005251237191259861,
-0.045008525252342224,
0.03950618952512741,
0.027468010783195496,
0.04890965297818184,
-0.03260643407702446,
0.0025364605244249105,
-0.013297311961650848,
0.04786159098148346,
-0.051820941269397736,
0.010808159597218037,
-0.0033407039009034634,
0.019607530906796455,
0.009461688809096813,
-0.034877240657806396,
-0.005491418763995171,
0.05677013471722603,
0.02422192320227623,
0.0011827111011371017,
-0.006615904159843922,
-0.01157237309962511,
-0.021412529051303864,
0.03883659467101097,
-0.02301373891532421,
0.013952352106571198,
0.009061386808753014,
-0.006201045587658882,
-0.037060707807540894,
0.014934912323951721,
0.025386439636349678,
0.03380006551742554,
0.013501102104783058,
0.006161015015095472,
-0.02323208563029766,
-0.006546760909259319,
-0.06661029160022736,
0.008442738093435764,
-0.036624014377593994,
-0.05429553985595703,
0.052519652992486954,
-0.04748312383890152,
-0.06911399960517883,
0.00306959031149745,
-0.01557539589703083,
-0.06183577701449394,
-0.020306240767240524,
-0.059856098145246506,
0.0022962791845202446,
0.007765863090753555,
-0.05787642300128937,
-0.0117688849568367,
-0.019607530906796455,
0.05024884641170502,
-0.014127029106020927,
-0.0067287166602909565,
-0.017729749903082848,
0.007041680160909891,
-0.035634174942970276,
0.018079103901982307,
-0.002480054274201393,
0.004436076618731022,
-0.018180999904870987,
-0.05516892299056053,
0.03033563122153282,
0.03068498522043228,
-0.04177699610590935,
-0.010262293741106987,
-0.034265872091054916,
-0.025794019922614098,
0.020626481622457504,
-0.010036668740212917,
-0.042795948684215546,
-0.0021452559158205986,
-0.07214173674583435,
0.04142764210700989,
0.007431064732372761,
-0.017875313758850098,
0.015429831109941006,
0.01636144332587719,
0.014782069250941277,
-0.02315930277109146,
-0.04885142669081688,
0.010815437883138657,
-0.012824228033423424,
0.010393301025032997,
0.035022806376218796,
0.02278083562850952,
0.026347164064645767,
0.019956884905695915,
-0.05601319670677185,
0.0006295662024058402,
0.03333425894379616,
0.044659171253442764,
0.04570723697543144,
0.04253393039107323,
0.0332760326564312,
-0.005185733549296856,
0.028574300929903984,
0.003198778722435236,
-0.008981326594948769,
0.02377067320048809,
-0.02419281005859375,
0.03799232095479965,
-0.0028930932749062777,
-0.01681269332766533,
0.050452638417482376,
0.022387811914086342,
0.021194182336330414,
0.0008460933458991349,
-0.009934773668646812,
0.007794976234436035,
-0.0010271391365677118,
0.027176881209015846,
-0.045124977827072144,
-0.0063393316231667995,
-0.022023901343345642,
0.001979676540941,
0.028006598353385925,
0.01722027361392975,
0.014934912323951721,
-0.0162741057574749,
0.059681423008441925,
0.01207457110285759,
-0.035925306379795074,
0.05656634271144867,
0.002008789451792836,
0.021951118484139442,
0.0224460382014513,
0.0462021566927433,
0.01575007289648056,
0.05289812013506889,
-0.008209834806621075,
-0.02283906191587448,
-0.011113845743238926,
0.05059820041060448,
-0.0486767515540123,
0.010793603956699371,
0.01122301910072565,
-0.0114413658156991,
-0.028588857501745224,
-0.05709037557244301,
0.035459499806165695,
-0.009796487167477608,
-0.00826806016266346,
0.0467844121158123,
-0.04829828441143036,
-0.026085149496793747,
0.04762868583202362,
0.0161285400390625,
0.01161604281514883,
0.044600944966077805,
0.028821760788559914,
-0.01596841961145401,
0.05598408728837967,
0.051296912133693695,
0.009192395024001598,
0.0083190081641078,
-0.025182649493217468,
-0.011710659600794315,
0.026638293638825417,
-0.0040030223317444324,
-0.019185394048690796,
0.020073337480425835,
-0.03476078808307648,
0.02278083562850952,
-0.0170019268989563,
0.028807204216718674,
0.028836317360401154,
-0.013209973461925983,
0.02452760934829712,
0.018370233476161957,
-0.0167107991874218,
0.0051275077275931835,
0.009796487167477608,
0.03956441581249237,
0.015619064681231976,
-0.0028385065961629152,
-0.0068087768740952015,
-0.021427085623145103,
-0.043319977819919586,
-0.03968086838722229,
-0.007918706163764,
0.026973091065883636,
-0.01580829918384552,
-0.027176881209015846,
0.0008906724397093058,
0.0005736149032600224,
-0.004028495866805315,
-0.009214228950440884,
-0.04186433553695679,
0.009105055592954159,
0.006968897767364979,
0.05700303614139557,
-0.004323264118283987,
-0.051093120127916336,
-0.012882453389465809,
0.010720821097493172,
0.06107884272933006,
-0.00807882659137249,
0.03834167495369911,
-0.0018923378083854914,
0.03938974067568779,
0.026056036353111267,
0.03336337208747864,
0.013362815603613853,
-0.059535857290029526,
0.06818238645792007,
-0.018879707902669907,
0.020189788192510605,
0.021397974342107773,
-0.05053997412323952,
0.03053942136466503,
-0.0018796009244397283,
-0.035954419523477554,
0.002314474666491151,
0.02406180277466774,
0.011062897741794586,
-0.018632248044013977,
0.04963747411966324,
-0.0325482115149498,
0.03147103264927864,
-0.043087076395750046,
-0.008238947950303555,
0.011528704315423965,
-0.06375722587108612,
0.25013795495033264,
0.0976446270942688,
0.06067126244306564,
0.017700636759400368,
-0.0024291067384183407,
-0.018690474331378937,
-0.007511125411838293,
-0.021194182336330414,
-0.01665257290005684,
-0.02374156191945076,
-0.00813705287873745,
-0.005775269586592913,
0.018952490761876106,
-0.03158748522400856,
0.030306518077850342,
0.07505302876234055,
-0.025342769920825958,
-0.004894604440778494,
0.006070037372410297,
-0.059099163860082626,
-0.006088233087211847,
-0.0022635271307080984,
0.0025073476135730743,
0.0032533654011785984,
0.009985720738768578,
-0.021703658625483513,
0.028647081926465034,
0.005411358084529638,
-0.059739649295806885,
-0.0006909762159921229,
-0.037701189517974854,
-0.03866191580891609,
0.05615876242518425,
-0.0014883964322507381,
-0.012867896817624569,
0.029112888500094414,
-0.04224280267953873,
-0.013806787319481373,
-0.036420222371816635,
-0.006554039195179939,
-0.021747328341007233,
-0.04005933552980423,
0.03807966038584709,
-0.04946279898285866,
-0.04486296325922012,
0.05030707269906998,
-0.043116189539432526,
0.02323208563029766,
0.0024272871669381857,
-0.0610206164419651,
0.04762868583202362,
-0.08786270022392273,
-0.007744028698652983,
-0.010298684239387512,
-0.07639221847057343,
-0.003457155544310808,
0.014112472534179688,
0.0037209910806268454,
-0.0043851290829479694,
-0.015269710682332516,
0.042650382965803146,
0.008195278234779835,
-0.0048254611901938915,
-0.01621587947010994,
0.013763118535280228,
0.03947707638144493,
-0.013806787319481373,
0.05531448870897293,
0.0048181829042732716,
0.019316401332616806,
-0.020393578335642815,
-0.0324026457965374,
-0.014891242608428001,
0.07260754704475403,
0.04550344496965408,
-0.031674824655056,
0.01564817875623703,
0.0018741422099992633,
0.001169064431451261,
-0.02503708377480507,
-0.011499591171741486,
0.009847435168921947,
-0.06410658359527588,
0.0021197821479290724,
0.037060707807540894,
0.052665214985609055,
-0.01162332110106945,
-0.060380131006240845,
0.008457294665277004,
0.019243620336055756,
0.020437248051166534,
0.04221368953585625,
0.013952352106571198,
-0.005189372692257166,
-0.043931350111961365
] |
1206_16 | Four of the five d-orbitals for look similar, each with four pear-shaped lobes, each lobe tangent at right angles to two others, and the centers of all four lying in one plane. Three of these planes are the xy-, xz-, and yz-planes—the lobes are between the pairs of primary axes—and the fourth has the centre along the x and y axes themselves. The fifth and final d-orbital consists of three regions of high probability density: a torus in between two pear-shaped regions placed symmetrically on its z axis. The overall total of 18 directional lobes point in every primary axis direction and between every pair.
There are seven f-orbitals, each with shapes more complex than those of the d-orbitals.
Additionally, as is the case with the s orbitals, individual p, d, f and g orbitals with values higher than the lowest possible value, exhibit an additional radial node structure which is reminiscent of harmonic waves of the same type, as compared with the lowest (or fundamental) mode of the wave. As with s orbitals, this phenomenon provides p, d, f, and g orbitals at the next higher possible value of (for example, 3p orbitals vs. the fundamental 2p), an additional node in each lobe. Still higher values of further increase the number of radial nodes, for each type of orbital.
The shapes of atomic orbitals in one-electron atom are related to 3-dimensional spherical harmonics. These shapes are not unique, and any linear combination is valid, like a transformation to cubic harmonics, in fact it is possible to generate sets where all the d's are the same shape, just like the and are the same shape. | [
-0.0007929852581582963,
-0.010222334414720535,
0.04468683525919914,
-0.00427586492151022,
-0.015175272710621357,
0.01829569786787033,
0.017913004383444786,
-0.02095983363687992,
-0.003725742921233177,
0.04333268851041794,
0.06582329422235489,
-0.002194968517869711,
0.013173490762710571,
-0.025993725284934044,
-0.03735678270459175,
0.007068791892379522,
0.005552736576646566,
-0.004161792807281017,
-0.03176356852054596,
0.007399969268590212,
0.0004921660292893648,
-0.0401533879339695,
-0.03703296184539795,
-0.02294689603149891,
-0.014034551568329334,
0.024830926209688187,
-0.016264477744698524,
0.028466515243053436,
0.052841152995824814,
0.03007088415324688,
-0.012702482752501965,
-0.039270248264074326,
0.04810164123773575,
-0.034913428127765656,
-0.01720649190247059,
0.004010923206806183,
0.02391834929585457,
-0.040035635232925415,
0.012275632470846176,
-0.047983888536691666,
0.04939690977334976,
-0.042802806943655014,
-0.006840647663921118,
0.003837974974885583,
0.02428632415831089,
-0.026067320257425308,
0.002894120290875435,
-0.014512917958199978,
-0.002719332231208682,
-0.038710929453372955,
-0.007742185611277819,
-0.010097223334014416,
0.03308827430009842,
0.013776969164609909,
-0.01763334311544895,
-0.05369485169649124,
-0.004051400348544121,
0.005979587323963642,
-0.027082931250333786,
0.025125306099653244,
0.0071055893786251545,
-0.021342527121305466,
-0.026656080037355423,
-0.020061975345015526,
-0.02715652622282505,
0.018472325056791306,
-0.012864392250776291,
0.038710929453372955,
-0.0015988496597856283,
-0.07188751548528671,
-0.0008550809579901397,
-0.003911570180207491,
0.009302398189902306,
0.006119417492300272,
-0.04289111867547035,
-0.004860944580286741,
0.013732812367379665,
-0.04518727958202362,
-0.03791610151529312,
-0.006811209954321384,
-0.0011195627739652991,
-0.022328699007630348,
-0.0349428690969944,
-0.0040366812609136105,
0.020724330097436905,
0.011694232933223248,
-0.01252585556358099,
0.0384165495634079,
-0.000052896350098308176,
0.01582290790975094,
0.03350040689110756,
0.03267614543437958,
-0.011053957045078278,
-0.04827826842665672,
0.05437192693352699,
0.03561994060873985,
0.011532324366271496,
0.02992369420826435,
0.016588294878602028,
0.03344153240323067,
0.01265096664428711,
0.06335050612688065,
0.006980478297919035,
0.0384165495634079,
-0.05160475894808769,
0.013776969164609909,
-0.013916798867285252,
0.04624704644083977,
0.03379478678107262,
-0.04489289969205856,
0.040859900414943695,
-0.0174714345484972,
0.008897625841200352,
0.006321803666651249,
0.008632684126496315,
0.025846535339951515,
0.007131347898393869,
0.01675020344555378,
-0.015175272710621357,
-0.030497735366225243,
-0.049514662474393845,
0.015955379232764244,
0.024624859914183617,
0.0033927257172763348,
0.010847890749573708,
0.014888252131640911,
-0.0422140471637249,
0.019914785400032997,
-0.036238137632608414,
-0.02065073512494564,
0.021813534200191498,
-0.0010818453738465905,
0.0009456947445869446,
0.021695781499147415,
-0.0004714674432761967,
0.03897586837410927,
-0.0304388590157032,
0.03037998266518116,
0.0233590267598629,
0.010958283208310604,
0.043214935809373856,
0.009493744932115078,
0.04306774586439133,
0.0692381039261818,
-0.03894643113017082,
0.03500174358487129,
0.008007126860320568,
-0.005861835554242134,
-0.015690436586737633,
-0.05025061219930649,
-0.0036779060028493404,
0.002673335373401642,
-0.013158771209418774,
0.016117287799715996,
-0.008353023789823055,
-0.030497735366225243,
-0.006255568005144596,
0.015204709954559803,
-0.06552891433238983,
0.01889917626976967,
0.04012395069003105,
-0.03959406539797783,
0.04206685721874237,
0.04194910451769829,
-0.017765814438462257,
-0.023579811677336693,
-0.0678250789642334,
-0.04144866019487381,
0.031380873173475266,
-0.014954487793147564,
-0.004018282517790794,
0.038652051240205765,
-0.0013127493439242244,
0.03285277262330055,
0.032293450087308884,
0.0073852501809597015,
0.04242011159658432,
-0.030085602775216103,
-0.03729790449142456,
-0.0013697854010388255,
-0.011716310866177082,
0.007617074064910412,
0.0684727132320404,
0.010384242981672287,
0.01563156023621559,
-0.050338923931121826,
-0.031027618795633316,
-0.024727892130613327,
-0.010516714304685593,
-0.017898283898830414,
0.020209165289998055,
0.04194910451769829,
-0.006126777268946171,
-0.014490840025246143,
-0.025758221745491028,
-0.013416353613138199,
-0.03126312047243118,
0.029629314318299294,
-0.019252430647611618,
-0.02597900666296482,
-0.015719875693321228,
-0.015587404370307922,
-0.04033001512289047,
0.02028276026248932,
-0.03350040689110756,
-0.027892474085092545,
0.01808963157236576,
0.06311500072479248,
0.014638029970228672,
0.011061316356062889,
-0.019252430647611618,
-0.04297943413257599,
0.0024359917733818293,
0.0012023570016026497,
0.006358601152896881,
0.0072086225263774395,
0.029688190668821335,
0.04289111867547035,
-0.005497540347278118,
0.025846535339951515,
-0.019958943128585815,
0.02951156347990036,
-0.009559979662299156,
0.02176937647163868,
-0.020768485963344574,
-0.0040808385238051414,
-0.02608203887939453,
0.026508890092372894,
0.07730410248041153,
0.019340744242072105,
-0.03196963295340538,
0.019664563238620758,
0.04171359911561012,
0.0515458807349205,
0.031999070197343826,
0.031940195709466934,
0.033588722348213196,
0.038298796862363815,
0.03326490521430969,
-0.004967656917870045,
0.01783940941095352,
0.01237130630761385,
0.04804276302456856,
0.009913235902786255,
0.02695045992732048,
0.012143162079155445,
-0.011127552017569542,
0.05493124946951866,
-0.03482511639595032,
0.04312662407755852,
-0.055107876658439636,
0.05060386657714844,
0.029791222885251045,
-0.02156331203877926,
-0.027804160490632057,
-0.008110160008072853,
0.0036006313748657703,
0.027038773521780968,
-0.007392609491944313,
-0.04306774586439133,
0.021784096956253052,
-0.026508890092372894,
0.05045667663216591,
0.013622419908642769,
0.024404074996709824,
0.04289111867547035,
0.03370647504925728,
0.004121315665543079,
0.020871520042419434,
-0.014807297848165035,
-0.09049231559038162,
-0.03529612347483635,
-0.00023918348597362638,
-0.02494867704808712,
0.004389937035739422,
0.0008863587863743305,
0.009022736921906471,
-0.014321571215987206,
0.08001239597797394,
-0.0285401102155447,
0.016382228583097458,
0.009869079105556011,
-0.0349428690969944,
0.03473680093884468,
0.007076151669025421,
0.05298834294080734,
-0.03856373950839043,
0.0324995182454586,
-0.05025061219930649,
0.03132199868559837,
-0.03935856372117996,
-0.028363481163978577,
-0.0003366967721376568,
-0.0608777180314064,
-0.006693457718938589,
-0.007771623320877552,
0.023785877972841263,
-0.04409807547926903,
0.0017395998584106565,
0.0041985902935266495,
-0.040241703391075134,
0.018634233623743057,
-0.009103691205382347,
-0.03335321694612503,
0.002649417147040367,
0.047512881457805634,
0.001675204373896122,
-0.008088082075119019,
-0.02028276026248932,
0.03729790449142456,
-0.040300577878952026,
0.014586512930691242,
0.04609985649585724,
0.022564202547073364,
-0.018531201407313347,
0.027730565518140793,
0.038033854216337204,
0.01891389489173889,
0.037121277302503586,
-0.046747494488954544,
-0.0397706963121891,
0.012547933496534824,
0.031439751386642456,
-0.04795445129275322,
0.004349459894001484,
0.049779605120420456,
-0.012106364592909813,
-0.017029864713549614,
0.019384901970624924,
-0.03052717261016369,
-0.049014218151569366,
0.04624704644083977,
0.03582600876688957,
0.04083046317100525,
-0.04960297420620918,
0.0052509973756968975,
-0.025316651910543442,
-0.016161443665623665,
0.029276059940457344,
0.023800596594810486,
0.04427470266819,
-0.017250649631023407,
-0.0020404192619025707,
-0.025596313178539276,
-0.006590425036847591,
0.016470542177557945,
0.03032110631465912,
-0.0324995182454586,
-0.03773947432637215,
-0.026773830875754356,
0.0060531822964549065,
0.020268041640520096,
0.01604369282722473,
0.003372487146407366,
0.02992369420826435,
0.02914358861744404,
-0.02412441559135914,
-0.049014218151569366,
-0.03023279272019863,
0.0071644652634859085,
-0.03644420579075813,
0.029732348397374153,
-0.03226401284337044,
-0.004710074979811907,
-0.01987062767148018,
-0.02331487089395523,
0.032764457166194916,
-0.0059096720069646835,
0.006796490866690874,
-0.024109695106744766,
0.010656544007360935,
0.01506488025188446,
-0.00265125697478652,
0.015204709954559803,
0.01730952598154545,
0.0072086225263774395,
0.06717744469642639,
0.008360383100807667,
0.03832823410630226,
0.005979587323963642,
-0.022623078897595406,
-0.022991053760051727,
-0.022932177409529686,
0.017456714063882828,
0.002748770173639059,
0.025890693068504333,
-0.0023623970337212086,
-0.037886664271354675,
-0.0034736802335828543,
-0.022299259901046753,
-0.0016292075160890818,
-0.015322462655603886,
-0.043980322778224945,
-0.016367509961128235,
-0.02346206083893776,
-0.007179184351116419,
0.08684200793504715,
0.00855908915400505,
0.00011913177877431735,
-0.012106364592909813,
0.028613705188035965,
0.07901150733232498,
0.011171708814799786,
-0.003690785262733698,
-0.032146260142326355,
0.05758066475391388,
-0.0025187861174345016,
0.028878645971417427,
0.009383352473378181,
-0.007815780118107796,
-0.020150288939476013,
0.03397141396999359,
-0.01613200642168522,
0.01503544207662344,
0.020812643691897392,
0.014049270190298557,
-0.06888484209775925,
0.01075957715511322,
0.000006062237844162155,
0.035472750663757324,
0.0028794012032449245,
0.03570825606584549,
-0.028039664030075073,
0.060583338141441345,
0.02413913421332836,
-0.03202850744128227,
-0.0009406350436620414,
-0.029290778562426567,
0.009729248471558094,
0.014498199336230755,
-0.04050664231181145,
-0.006811209954321384,
-0.05416586250066757,
-0.006200371775776148,
-0.013136693276464939,
0.003387206234037876,
0.03503118082880974,
0.013644497841596603,
0.008801952004432678,
-0.016735484823584557,
0.019355464726686478,
0.015116396360099316,
-0.01270984299480915,
-0.0016034493455663323,
0.010472557507455349,
0.022049037739634514,
0.012731920927762985,
0.028525391593575478,
0.013489948585629463,
-0.020768485963344574,
0.00285548297688365,
-0.016117287799715996,
0.031793005764484406,
-0.022417012602090836,
0.010318007320165634,
-0.00007451485726051033,
-0.0019061084603890777,
-0.019075803458690643,
0.029128869995474815,
0.0004089117865078151,
-0.013865282759070396,
-0.00012235155736561865,
-0.006376999896019697,
-0.011164349503815174,
-0.05549056828022003,
0.039829570800065994,
-0.03226401284337044,
0.058022234588861465,
0.022093195468187332,
-0.03570825606584549,
0.004389937035739422,
-0.015719875693321228,
-0.001686243573203683,
-0.01906108483672142,
0.03924081102013588,
-0.03744509443640709,
-0.0014902971452102065,
-0.007009916007518768,
-0.03550218790769577,
-0.010597668588161469,
-0.02069489099085331,
-0.02781887911260128,
-0.033588722348213196,
-0.03488399088382721,
-0.013710733503103256,
0.0017589186318218708,
-0.008456056006252766,
0.04919084534049034,
-0.031233683228492737,
-0.022328699007630348,
-0.010060425847768784,
-0.011775187216699123,
0.021607467904686928,
-0.040182825177907944,
-0.010266491211950779,
-0.02597900666296482,
-0.048189952969551086,
-0.016014253720641136,
0.03856373950839043,
0.031086493283510208,
0.04580547660589218,
0.030468296259641647,
-0.04851377010345459,
0.03479567915201187,
0.010833172127604485,
0.022461170330643654,
0.008779874071478844,
0.001724880887195468,
0.038445986807346344,
0.00934655498713255,
-0.030409419909119606,
0.012746640481054783,
-0.02193128690123558,
-0.02294689603149891,
-0.023844754323363304,
0.0318518802523613,
0.026405857875943184,
-0.026553047820925713,
-0.06152535229921341,
0.03723903000354767,
0.034089166671037674,
-0.04589379206299782,
0.03980013355612755,
0.048189952969551086,
-0.01362977921962738,
0.025758221745491028,
-0.01823682151734829,
-0.048749275505542755,
-0.0009613336296752095,
-0.012658325955271721,
-0.003834295319393277,
-0.07812836766242981,
-0.02961459569633007,
-0.05728628486394882,
-0.018119068816304207,
-0.026935741305351257,
0.021371964365243912,
0.011039238423109055,
-0.057050783187150955,
-0.052340708673000336,
-0.050544992089271545,
-0.008139598183333874,
-0.000599338614847511,
-0.01870782859623432,
-0.012334508821368217,
-0.027701128274202347,
-0.06658868491649628,
0.01563156023621559,
-0.023226557299494743,
-0.03012976050376892,
0.0278630368411541,
0.007565557956695557,
0.02674439363181591,
0.02566990815103054,
-0.02254948392510414,
0.05251733586192131,
-0.01408606767654419,
0.027274277061223984,
-0.04830770567059517,
0.022976333275437355,
-0.0243893563747406,
0.01619088277220726,
-0.011024518869817257,
-0.018251540139317513,
0.032146260142326355,
-0.03432467207312584,
0.02285858243703842,
0.0052509973756968975,
0.0243893563747406,
-0.06352713704109192,
-0.0685315877199173,
-0.013710733503103256,
0.016014253720641136,
0.036503080278635025,
0.006789131555706263,
-0.024683736264705658,
-0.045010652393102646,
-0.01567571796476841,
-0.07147538661956787,
-0.016867956146597862,
-0.00773482583463192,
-0.01982647180557251,
-0.07518456876277924,
-0.019752876833081245,
-0.012282991781830788,
-0.0425378642976284,
0.047306813299655914,
0.06034783273935318,
0.024580704048275948,
0.0013044700026512146,
-0.0035619940608739853,
-0.008772514760494232,
0.004183871205896139,
0.04171359911561012,
-0.0011490007163956761,
-0.0003318670787848532,
-0.034560173749923706,
0.03791610151529312,
-0.022932177409529686,
-0.051310379058122635,
-0.043214935809373856,
0.013188209384679794,
0.03835767135024071,
-0.0346190519630909,
0.03929968550801277,
-0.0015832106582820415,
-0.01829569786787033,
0.010406321845948696,
0.021342527121305466,
-0.015955379232764244,
0.015234148129820824,
-0.019399620592594147,
0.009258240461349487,
0.0052914745174348354,
0.00544234411790967,
0.027038773521780968,
-0.0387403666973114,
-0.02162218652665615,
0.053253285586833954,
-0.012054847553372383,
-0.017913004383444786,
0.002662296174094081,
-0.010509354993700981,
-0.046806368976831436,
-0.005420265719294548,
-0.03688577562570572,
-0.021136460825800896,
-0.015587404370307922,
-0.042596738785505295,
-0.005026532802730799,
0.0008927983581088483,
-0.05578494817018509,
-0.0044156950898468494,
0.01573459431529045,
-0.0020257001742720604,
0.0009539741440676153,
-0.022608358412981033,
0.0048131076619029045,
-0.02996785193681717,
0.021165898069739342,
0.09155207872390747,
-0.004743192344903946,
-0.045157842338085175,
-0.04068327322602272,
-0.0010238892864435911,
0.014159662649035454,
-0.004419374745339155,
0.026067320257425308,
0.011252663098275661,
0.031115932390093803,
-0.003076267661526799,
0.018575357273221016,
0.02571406587958336,
0.02670023776590824,
0.004150753375142813,
0.017854128032922745,
0.022372854873538017,
-0.05313553288578987,
-0.027553938329219818,
0.04692412167787552,
0.007013595663011074,
0.06682419031858444,
-0.008051284588873386,
-0.020532982423901558,
0.005118526518344879,
-0.03582600876688957,
-0.03735678270459175,
-0.03385366126894951,
-0.015602122992277145,
-0.05210520327091217,
-0.04615873470902443,
-0.04677693173289299,
-0.05734516307711601,
0.0036171902902424335,
0.02265251614153385,
-0.053871482610702515,
-0.011039238423109055,
-0.0010956443147733808,
0.016970988363027573,
-0.008058643899857998,
0.04630592465400696,
0.013217647559940815,
-0.012327149510383606,
-0.02986481785774231,
0.010877328924834728,
0.01539605762809515,
-0.030350545421242714,
-0.057050783187150955,
0.0014213018584996462,
0.005320912692695856,
0.0013228686293587089,
-0.010435760021209717,
0.03741565719246864,
-0.058228299021720886,
-0.009692450985312462,
-0.0069878376089036465,
-0.016632452607154846,
-0.04215516895055771,
0.009361273609101772,
0.010178177617490292,
0.021489717066287994,
0.02602316439151764,
0.006586745381355286,
0.017751093953847885,
-0.014645389281213284,
-0.028716737404465675,
0.024448232725262642,
-0.011701592244207859,
0.05292946472764015,
-0.03729790449142456,
-0.008824030868709087,
0.0032492156606167555,
0.039682380855083466,
-0.05872874706983566,
0.02095983363687992,
-0.028775613754987717,
0.03258782997727394,
-0.009125770069658756,
-0.04309718683362007,
-0.019237712025642395,
0.04374482110142708,
0.017486153170466423,
-0.011811984702944756,
-0.020474106073379517,
-0.028834490105509758,
-0.04021226242184639,
-0.012378665618598461,
-0.02511058747768402,
0.007068791892379522,
-0.0038968510925769806,
-0.032970525324344635,
-0.032970525324344635,
0.02608203887939453,
-0.010524073615670204,
0.020371073856949806,
-0.001309989602304995,
-0.007852577604353428,
-0.008073362521827221,
0.012172599323093891,
-0.022358136251568794,
0.012422822415828705,
-0.00758027657866478,
-0.06075996533036232,
0.035384438931941986,
-0.027244839817285538,
-0.06811945885419846,
0.01988534815609455,
-0.01396095659583807,
-0.04527559503912926,
-0.03826935961842537,
-0.04963241517543793,
0.008433978073298931,
-0.000914876873139292,
-0.05136925354599953,
-0.019046364352107048,
-0.022210946306586266,
0.0996769592165947,
-0.003738621948286891,
0.014623310416936874,
-0.026508890092372894,
0.024933958426117897,
-0.0570802204310894,
0.04230235889554024,
-0.018987489864230156,
0.03529612347483635,
-0.03382422402501106,
-0.05016229674220085,
0.010082503780722618,
0.011605918407440186,
-0.015086958184838295,
0.01900220848619938,
-0.012408103793859482,
-0.022313980385661125,
0.031940195709466934,
-0.008448696695268154,
-0.0202386025339365,
-0.0012124762870371342,
-0.06346825510263443,
0.018943332135677338,
0.010229693725705147,
-0.002653096802532673,
-0.002299841260537505,
0.029526282101869583,
0.003613510634750128,
-0.028113259002566338,
-0.02771584689617157,
0.030703799799084663,
0.013512027449905872,
0.0072233411483466625,
0.050751056522130966,
0.03370647504925728,
0.0040955571457743645,
0.029437968507409096,
-0.06282062083482742,
0.023182399570941925,
0.018060192465782166,
0.038710929453372955,
0.031057056039571762,
0.02899639867246151,
0.04068327322602272,
0.039476316422224045,
0.005703606177121401,
-0.00132562848739326,
0.03093930333852768,
0.03600263595581055,
-0.020532982423901558,
0.053724292665719986,
-0.020621296018362045,
0.010030987672507763,
0.021636907011270523,
0.017029864713549614,
0.016882674768567085,
-0.002721172058954835,
-0.002923558233305812,
0.00968509167432785,
-0.014542356133460999,
0.03888755664229393,
-0.05507843941450119,
-0.032205138355493546,
-0.02796606905758381,
0.0164411049336195,
0.028613705188035965,
0.006906883325427771,
0.014586512930691242,
-0.027936631813645363,
0.07241740077733994,
0.002980594290420413,
-0.028628423810005188,
0.07848162204027176,
-0.01972343772649765,
0.02668551728129387,
0.00013040099292993546,
0.04724793881177902,
-0.001441540545783937,
0.03093930333852768,
0.0031995391473174095,
-0.03759228438138962,
-0.036709144711494446,
0.03582600876688957,
-0.04880814999341965,
-0.011561761610209942,
0.02515474334359169,
-0.008647402748465538,
-0.02259363979101181,
-0.0629972517490387,
0.02254948392510414,
-0.005648409947752953,
0.005986946634948254,
0.02767168916761875,
-0.040712710469961166,
-0.03017391636967659,
0.07901150733232498,
0.00029529962921515107,
-0.01992950402200222,
0.060024015605449677,
0.026258667930960655,
0.005089088808745146,
0.0857822373509407,
0.04963241517543793,
0.004941898863762617,
0.0023458381183445454,
-0.024404074996709824,
0.004669597838073969,
0.031881317496299744,
-0.024153852835297585,
0.006273966748267412,
0.018781423568725586,
-0.0010496475733816624,
0.027392029762268066,
0.001970503944903612,
0.0061709340661764145,
0.0038490144070237875,
-0.018457606434822083,
0.006457954179495573,
0.018869737163186073,
-0.01619088277220726,
0.01152496412396431,
-0.001296190544962883,
0.023403184488415718,
0.01763334311544895,
-0.0008826790726743639,
-0.021489717066287994,
-0.049720726907253265,
-0.0332060270011425,
-0.03785722702741623,
0.007867297157645226,
0.001452579745091498,
0.0034240037202835083,
-0.003992524463683367,
0.006630902178585529,
-0.004526087548583746,
-0.009331835433840752,
-0.0411837175488472,
-0.006756013724952936,
0.005184762179851532,
0.009162567555904388,
0.03729790449142456,
0.01788356527686119,
-0.06317388266324997,
-0.005431305151432753,
0.014822016470134258,
0.05722741037607193,
-0.02658248506486416,
0.01221675705164671,
0.03261726722121239,
0.07695084810256958,
-0.0021784096024930477,
0.04091877490282059,
-0.008213193155825138,
-0.04804276302456856,
0.06388039141893387,
-0.021283650770783424,
0.007631793152540922,
0.011929736472666264,
-0.0415075346827507,
0.03420691937208176,
0.04209629446268082,
-0.03126312047243118,
-0.008286788128316402,
0.003067068289965391,
-0.0008104640292003751,
-0.027892474085092545,
0.01062710676342249,
-0.017942441627383232,
0.042861681431531906,
-0.03361815959215164,
-0.017692219465970993,
-0.007793702185153961,
-0.06317388266324997,
0.2566990852355957,
0.065764419734478,
0.04309718683362007,
0.034560173749923706,
0.008794592693448067,
-0.002285122172906995,
0.010156098753213882,
-0.017736375331878662,
-0.02244644984602928,
-0.028554828837513924,
0.002283282345160842,
-0.009243521839380264,
0.006546268239617348,
-0.025331370532512665,
-0.0027837278321385384,
0.07082775235176086,
-0.03697408735752106,
-0.018001317977905273,
0.008492853492498398,
-0.058787621557712555,
-0.029953131452202797,
0.0014185421168804169,
0.03759228438138962,
0.01091412641108036,
0.007319014985114336,
-0.00978812389075756,
0.018457606434822083,
0.003320970805361867,
-0.024507109075784683,
-0.013254445046186447,
-0.05142813175916672,
-0.06670643389225006,
0.046541426330804825,
0.02494867704808712,
-0.021695781499147415,
0.004588643088936806,
-0.02003253623843193,
-0.005037572234869003,
-0.02207847684621811,
-0.0014406205154955387,
-0.0009364953730255365,
-0.013902080245316029,
0.03247007727622986,
-0.02909943088889122,
-0.03182244300842285,
0.04954409971833229,
-0.055461131036281586,
0.004323701374232769,
-0.0020716970320791006,
-0.05133981630206108,
0.048543207347393036,
-0.0851346030831337,
-0.004371538292616606,
0.013048379682004452,
-0.07771623879671097,
-0.004529767204076052,
0.03379478678107262,
-0.0018168746028095484,
-0.0009369553299620748,
-0.025331370532512665,
0.029747067019343376,
0.0010082504013553262,
0.0003507257788442075,
0.0011177228298038244,
-0.026567766442894936,
0.026067320257425308,
-0.008191114291548729,
0.04922028258442879,
0.022755548357963562,
0.00386741291731596,
-0.0018877097172662616,
-0.0202386025339365,
-0.01850176230072975,
0.048955339938402176,
0.004978696350008249,
-0.028981680050492287,
0.0031443429179489613,
0.017088741064071655,
-0.016558857634663582,
-0.011539683677256107,
0.032146260142326355,
0.014829376712441444,
-0.04136034473776817,
-0.005262036807835102,
0.03279389441013336,
0.048484332859516144,
-0.008433978073298931,
-0.04109540209174156,
0.0005588614149019122,
0.04448077082633972,
0.0102959293872118,
0.05410698428750038,
0.017971878871321678,
0.013386915437877178,
-0.03355928510427475
] |
1206_17 | Although individual orbitals are most often shown independent of each other, the orbitals coexist around the nucleus at the same time. Also, in 1927, Albrecht Unsöld proved that if one sums the electron density of all orbitals of a particular azimuthal quantum number of the same shell (e.g. all three 2p orbitals, or all five 3d orbitals) where each orbital is occupied by an electron or each is occupied by an electron pair, then all angular dependence disappears; that is, the resulting total density of all the atomic orbitals in that subshell (those with the same ) is spherical. This is known as Unsöld's theorem.
Orbitals table
This table shows all orbital configurations for the real hydrogen-like wave functions up to 7s, and therefore covers the simple electronic configuration for all elements in the periodic table up to radium. "ψ" graphs are shown with − and + wave function phases shown in two different colors (arbitrarily red and blue). The orbital is the same as the orbital, but the and are formed by taking linear
combinations of the and orbitals (which is why they are listed under the label). Also, the and are not
the same shape as the , since they are pure spherical harmonics.
* No elements with this magnetic quantum number have been discovered yet.
† The elements with this magnetic quantum number have been discovered, but their electronic configuration is only a prediction.
‡ The electronic configuration of the elements with this magnetic quantum number has only been confirmed for a spin quantum number of +1/2.
These are the real-valued orbitals commonly used in chemistry. Only the orbitals where are eigenstates of the orbital angular momentum operator, . The columns with are contain combinations of two eigenstates. See comparison in the following picture: | [
-0.03295144811272621,
-0.003206440480425954,
0.06939289718866348,
-0.04563179239630699,
-0.030973779037594795,
0.010462739504873753,
0.010637239553034306,
-0.012593095190823078,
-0.024560898542404175,
0.0678223967552185,
0.08399274945259094,
0.011415218934416771,
0.0036717744078487158,
-0.04720229655504227,
-0.0381864532828331,
0.039611537009477615,
0.0027647370006889105,
0.009030384011566639,
-0.04278162494301796,
-0.007416257169097662,
-0.014796160161495209,
0.0222487710416317,
-0.06072605773806572,
-0.010484552010893822,
-0.028981570154428482,
0.025447940453886986,
0.018060768023133278,
0.022699562832713127,
0.04103662446141243,
0.06660089641809464,
0.014185409061610699,
-0.028574403375387192,
0.036906786262989044,
0.009292134083807468,
0.006318360101431608,
0.006412880960851908,
0.026349525898694992,
-0.03524903580546379,
0.02239418774843216,
-0.06287822872400284,
0.01665022410452366,
-0.015501431189477444,
-0.010797197930514812,
0.004082576837390661,
-0.023310314863920212,
-0.011189823038876057,
0.0033354980405420065,
-0.013371075503528118,
-0.017217349261045456,
-0.04996521398425102,
0.01634484902024269,
-0.012498574331402779,
0.03751753643155098,
0.01301480457186699,
-0.0081578828394413,
-0.047696713358163834,
-0.015414181165397167,
0.01708647422492504,
-0.02050377056002617,
0.028414443135261536,
0.0006139315664768219,
-0.04755129665136337,
-0.013785513117909431,
-0.025709690526127815,
-0.007314465474337339,
0.015821348875761032,
-0.01701376587152481,
0.02521527372300625,
0.0069509232416749,
-0.07148690521717072,
0.0008138797129504383,
0.02902519516646862,
-0.0025993254967033863,
-0.0005366788827814162,
-0.04981979727745056,
-0.007281746715307236,
-0.0200238935649395,
-0.009910155087709427,
-0.014403535053133965,
-0.008077903650701046,
0.00991742592304945,
-0.012767595238983631,
-0.008957675658166409,
-0.0027701901271939278,
-0.0003719489322975278,
-0.013836408965289593,
-0.018438851460814476,
0.01923864334821701,
0.009873800911009312,
-0.01608309894800186,
0.03740120306611061,
0.04147287458181381,
-0.011429760605096817,
-0.03236978128552437,
0.030828362330794334,
0.05063413083553314,
0.007743444759398699,
0.007121788337826729,
0.0015068816719576716,
0.0333586148917675,
0.03606336936354637,
0.07509323954582214,
-0.004289795644581318,
0.04667879641056061,
-0.01916593499481678,
0.04106570780277252,
-0.04912179708480835,
0.053658802062273026,
0.03702311962842941,
-0.022699562832713127,
0.015530514530837536,
-0.009808363392949104,
0.0035972483456134796,
-0.011480656452476978,
0.02457544021308422,
0.04478837549686432,
0.0035590764600783587,
0.021448979154229164,
-0.01532693114131689,
-0.000060609268984990194,
-0.01086263544857502,
-0.0003755843499675393,
0.029083361849188805,
0.029316028580069542,
-0.027701901271939278,
0.054851219058036804,
-0.02883615344762802,
-0.007129059173166752,
-0.010877177119255066,
-0.044875625520944595,
0.014825243502855301,
-0.030537528917193413,
-0.014614389277994633,
0.004322514403611422,
-0.026596734300255775,
0.041792791336774826,
0.009684759192168713,
0.00951025914400816,
0.0004798754525836557,
-0.013094783760607243,
0.05252455174922943,
-0.016097640618681908,
0.014643472619354725,
0.019674893468618393,
-0.021085437387228012,
0.06724072992801666,
0.013509221374988556,
0.01197507418692112,
0.0067509752698242664,
0.003262789687141776,
-0.0055258385837078094,
-0.02909790351986885,
0.00649649603292346,
0.024589981883764267,
-0.05584005266427994,
-0.021434437483549118,
0.022336021065711975,
0.04685329645872116,
-0.049877963960170746,
0.005075046326965094,
-0.006478318944573402,
-0.03873903676867485,
0.05624721944332123,
0.0033045969903469086,
0.0045151920057833195,
0.005663984455168247,
-0.03553986921906471,
-0.07497690618038177,
-0.021856145933270454,
-0.021696187555789948,
-0.014403535053133965,
0.0004380681202746928,
-0.0016641136026009917,
0.02639315091073513,
0.04414854198694229,
0.018075309693813324,
0.05223371833562851,
-0.008361466228961945,
-0.03527811914682388,
0.007888861931860447,
-0.01665022410452366,
-0.00519138015806675,
0.0287343617528677,
-0.010404572822153568,
0.030537528917193413,
-0.030682945623993874,
-0.041909124702215195,
-0.006816412787884474,
-0.01942768506705761,
-0.026713067665696144,
0.023121273145079613,
0.029126986861228943,
-0.005933005828410387,
0.03478369861841202,
-0.019514935091137886,
-0.021899770945310593,
-0.04923813045024872,
0.044584792107343674,
-0.02773098461329937,
-0.03463828191161156,
-0.005558557342737913,
0.012854845263063908,
-0.01544326450675726,
0.002293950179591775,
-0.04455570876598358,
0.005256817676126957,
0.035859785974025726,
0.06235472857952118,
-0.007757986430078745,
0.023732023313641548,
0.007794341072440147,
-0.004627889953553677,
0.019442226737737656,
-0.01518151443451643,
0.0020812780130654573,
0.028967028483748436,
-0.016562974080443382,
0.01624305732548237,
-0.03751753643155098,
0.01340015884488821,
0.00738717382773757,
0.049325380474328995,
-0.0006693717441521585,
0.06503039598464966,
-0.01875876821577549,
-0.01968943513929844,
0.02280135452747345,
0.05200105160474777,
0.07311557233333588,
0.031642697751522064,
-0.01813347637653351,
0.027498317882418633,
0.005856662057340145,
0.041909124702215195,
0.012389511801302433,
0.020227476954460144,
0.019529476761817932,
0.027963651344180107,
0.013625554740428925,
-0.013596471399068832,
0.006612829398363829,
-0.0205764789134264,
0.014447160065174103,
-0.00431887898594141,
0.02684394270181656,
0.039320703595876694,
0.010462739504873753,
0.05543288588523865,
-0.003998962230980396,
0.02787640132009983,
-0.017362765967845917,
0.03292236477136612,
0.02094002068042755,
-0.018409768119454384,
-0.05668346956372261,
-0.015428722836077213,
0.016475724056363106,
0.0278036929666996,
-0.02131810411810875,
-0.028647111728787422,
-0.012818491086363792,
0.005823943298310041,
0.016693849116563797,
0.018598809838294983,
0.004482473246753216,
0.03295144811272621,
0.05685797333717346,
0.011393406428396702,
0.04414854198694229,
-0.03821553662419319,
-0.08434174954891205,
-0.05197196826338768,
-0.024110106751322746,
-0.017857184633612633,
-0.026960276067256927,
-0.005227734334766865,
0.0023266689386218786,
-0.02083822898566723,
0.06741522997617722,
-0.010637239553034306,
-0.002383017912507057,
0.006489225197583437,
0.002835627645254135,
0.03295144811272621,
-0.014796160161495209,
0.04100754112005234,
-0.007259934209287167,
0.04356687515974045,
-0.030857445672154427,
0.0029828622937202454,
-0.01698468253016472,
-0.0326315313577652,
0.02483719028532505,
-0.022597771137952805,
0.006002078764140606,
-0.009568425826728344,
-0.004282524809241295,
0.003391847014427185,
-0.016548432409763336,
-0.0054422239772975445,
-0.03242794796824455,
0.07329007238149643,
-0.020198393613100052,
0.008463257923722267,
-0.002161257201805711,
0.054065968841314316,
-0.019413143396377563,
-0.043537791818380356,
-0.016228515654802322,
0.0079688411206007,
-0.03713945299386978,
0.02009660191833973,
0.027411067858338356,
-0.018846018239855766,
-0.015007014386355877,
0.01532693114131689,
0.047173213213682175,
0.03135186433792114,
0.03481278195977211,
-0.046620629727840424,
-0.046387962996959686,
-0.009452092461287975,
0.006209297571331263,
-0.057701390236616135,
-0.007561673875898123,
0.047318629920482635,
-0.009931967593729496,
-0.038535453379154205,
0.01050636451691389,
-0.01938406005501747,
-0.07206857204437256,
0.016839265823364258,
0.005220463499426842,
0.024226440116763115,
-0.0860285833477974,
-0.012825761921703815,
-0.04254895821213722,
0.005398598965257406,
0.051070380955934525,
0.015835890546441078,
0.013451054692268372,
-0.042578041553497314,
0.00014530320186167955,
-0.006002078764140606,
0.0030719300266355276,
-0.0041262018494307995,
0.005471307318657637,
-0.015385097824037075,
-0.015472347848117352,
-0.008412362076342106,
0.026160484179854393,
0.005282265599817038,
0.01100805215537548,
0.03673228621482849,
0.021856145933270454,
0.041792791336774826,
-0.011277073062956333,
-0.05313530191779137,
-0.04653337970376015,
-0.0004994158516637981,
-0.03565620258450508,
0.044991958886384964,
0.003893535118550062,
0.010440926998853683,
-0.057992223650217056,
-0.026756692677736282,
0.0151088060811162,
-0.0037808369379490614,
0.022379646077752113,
-0.008281487040221691,
0.04455570876598358,
0.026494942605495453,
-0.024808106943964958,
0.02443002350628376,
-0.0196458101272583,
-0.0052604530937969685,
0.06875306367874146,
0.03990237042307854,
0.015632307156920433,
-0.024051940068602562,
-0.018962351605296135,
-0.029417820274829865,
-0.006714621093124151,
0.025826025754213333,
-0.018671518191695213,
0.019849393516778946,
0.01086263544857502,
-0.006158401723951101,
-0.021376270800828934,
-0.03330044820904732,
-0.017450015991926193,
-0.04388679191470146,
-0.020663728937506676,
-0.04589354246854782,
-0.03519086539745331,
0.006125682964920998,
0.0860285833477974,
0.0016250328626483679,
-0.0011751495767384768,
-0.010819010436534882,
0.064506895840168,
0.0737554058432579,
-0.015617765486240387,
0.020154768601059914,
-0.01110257301479578,
0.01366190891712904,
-0.01050636451691389,
0.047987546771764755,
0.015588682144880295,
-0.00410438934341073,
-0.05517113581299782,
0.033823948353528976,
-0.018453393131494522,
-0.01392365898936987,
0.024968065321445465,
0.026422234252095222,
-0.03135186433792114,
0.019776685163378716,
-0.01731914095580578,
0.04025137051939964,
-0.005994807928800583,
-0.014127242378890514,
-0.02364477328956127,
0.030014028772711754,
-0.0022903147619217634,
-0.05342613533139229,
-0.026233192533254623,
0.000053452036809176207,
0.005882109981030226,
0.019514935091137886,
-0.01100805215537548,
-0.018395226448774338,
-0.06694989651441574,
-0.0031391852535307407,
-0.026000525802373886,
-0.009757467545568943,
0.024444565176963806,
0.0016977412160485983,
-0.00610750587657094,
-0.02201610431075096,
0.02105635404586792,
0.035568952560424805,
-0.009764738380908966,
0.03937887027859688,
0.011247989721596241,
0.004965983796864748,
0.030595695599913597,
0.040280453860759735,
0.024851731956005096,
0.004024410154670477,
0.04330512508749962,
-0.034725531935691833,
0.046242546290159225,
-0.005271359346807003,
0.03469644859433174,
0.020183851942420006,
0.031380947679281235,
-0.0693347305059433,
0.011284343898296356,
-0.024459106847643852,
0.0009220334468409419,
0.004751494154334068,
-0.0034027532674372196,
-0.019136851653456688,
-0.020678270608186722,
0.020925479009747505,
-0.05575280264019966,
0.053018968552351,
-0.017580891028046608,
-0.02306310646235943,
0.013894575648009777,
0.000436250411439687,
-0.03295144811272621,
0.011960532516241074,
0.01928226836025715,
0.006816412787884474,
0.0054349531419575214,
0.001458712387830019,
-0.0005648534279316664,
-0.006580110639333725,
-0.012004157528281212,
0.01808985136449337,
-0.0035118157975375652,
-0.01026642695069313,
0.007299923803657293,
-0.058224890381097794,
-0.0363251194357872,
-0.002661127597093582,
-0.04156012460589409,
0.007561673875898123,
-0.04644612967967987,
-0.012389511801302433,
-0.013531033881008625,
-0.02387744002044201,
-0.014403535053133965,
-0.03423111513257027,
-0.04938354715704918,
-0.05935914069414139,
-0.008405091241002083,
-0.021492604166269302,
0.032864198088645935,
0.042054541409015656,
-0.005427682306617498,
0.02584056742489338,
0.0037808369379490614,
0.013247471302747726,
0.0009133993298746645,
-0.01856972649693489,
-0.006002078764140606,
0.04147287458181381,
0.007525319699198008,
-0.0054349531419575214,
-0.014934306032955647,
0.006652818992733955,
0.0032609719783067703,
-0.00201584049500525,
0.03734303638339043,
-0.014490785077214241,
-0.038273703306913376,
0.045951709151268005,
0.04295612499117851,
-0.00967748835682869,
0.013880033977329731,
0.04531187564134598,
-0.023004937916994095,
0.014614389277994633,
-0.0149197643622756,
-0.06049339100718498,
-0.0040280455723404884,
-0.047842130064964294,
-0.003977149724960327,
-0.062296561896800995,
-0.042316291481256485,
-0.06369256228208542,
-0.01245494931936264,
-0.02495352365076542,
0.05214646831154823,
-0.002023111330345273,
-0.044352125376462936,
-0.013858221471309662,
-0.0253897737711668,
-0.027149317786097527,
0.017115557566285133,
-0.024444565176963806,
-0.013909117318689823,
-0.032253447920084,
-0.044061291962862015,
0.012869387865066528,
-0.043246958404779434,
-0.022641396149992943,
-0.0017768116667866707,
0.018264351412653923,
-0.0009652040316723287,
0.014083617366850376,
0.00353544601239264,
0.0010633603669703007,
-0.019747601822018623,
0.049587130546569824,
-0.044991958886384964,
0.030130362138152122,
-0.007794341072440147,
0.02850169502198696,
-0.044206708669662476,
0.013378346338868141,
0.02940327860414982,
-0.02291768789291382,
-0.0021576217841356993,
0.00023289410455618054,
0.03330044820904732,
-0.012847574427723885,
-0.05962089076638222,
-0.007452611345797777,
0.009146717377007008,
0.01230953261256218,
-0.013407429680228233,
-0.02909790351986885,
-0.06980006396770477,
0.0023066741414368153,
-0.035830702632665634,
-0.006943652406334877,
0.03580161929130554,
0.01779901795089245,
-0.028967028483748436,
-0.028167234733700752,
0.0139963673427701,
-0.05726514011621475,
0.02998494543135166,
0.055927302688360214,
0.01470163930207491,
0.002361205406486988,
0.0013396523427218199,
-0.021478062495589256,
-0.030159445479512215,
-0.00772163225337863,
0.0046206191182136536,
-0.01136432308703661,
-0.011771490797400475,
0.03207894787192345,
0.0027338359504938126,
-0.029199695214629173,
-0.0041262018494307995,
0.021565312519669533,
0.03862270340323448,
-0.010259156115353107,
0.04883096367120743,
0.011989615857601166,
-0.03036302886903286,
0.020736437290906906,
0.019224101677536964,
-0.02294677123427391,
0.02954869531095028,
0.02524435706436634,
0.0011188006028532982,
0.01838068477809429,
-0.015007014386355877,
0.024633606895804405,
-0.04356687515974045,
0.027614651247859,
0.03763386979699135,
-0.010848093777894974,
-0.011575178243219852,
0.055403802543878555,
0.0012024152092635632,
-0.07055623829364777,
-0.004409764893352985,
-0.028821611776947975,
-0.021158145740628242,
-0.0013578294310718775,
-0.05060504749417305,
-0.01950039342045784,
0.005682161543518305,
-0.048249296844005585,
-0.027963651344180107,
-0.0027574661653488874,
0.0020958196837455034,
0.006740069016814232,
-0.01713009923696518,
-0.005249546840786934,
0.014112700708210468,
0.005325890611857176,
0.11633344739675522,
0.040833041071891785,
-0.055403802543878555,
-0.028050901368260384,
0.008754091337323189,
-0.0010015582665801048,
-0.022336021065711975,
0.00010525677498662844,
0.013967284001410007,
0.03524903580546379,
0.02031472884118557,
0.04647521302103996,
0.01646118238568306,
0.02272864617407322,
-0.012127761729061604,
0.01230953261256218,
0.0016831995453685522,
-0.07835057377815247,
-0.02661127597093582,
0.007423528004437685,
-0.00012712609895970672,
0.012258636765182018,
-0.027120234444737434,
-0.04007687047123909,
0.0005643990007229149,
-0.03836095333099365,
-0.01995118521153927,
-0.02012568525969982,
-0.004195274785161018,
-0.04240354150533676,
-0.03207894787192345,
-0.044468458741903305,
-0.03748845309019089,
0.047027796506881714,
-0.008899508975446224,
-0.007289017550647259,
-0.0008793172310106456,
-0.012854845263063908,
0.01787172630429268,
-0.020198393613100052,
0.05371696874499321,
0.03359128162264824,
0.028487153351306915,
-0.05109946429729462,
-0.0018258898053318262,
-0.01197507418692112,
-0.029490528628230095,
-0.03615061938762665,
-0.014948847703635693,
-0.024051940068602562,
-0.006383797619491816,
0.014505326747894287,
0.05947547405958176,
-0.039756953716278076,
-0.01299299206584692,
-0.008121528662741184,
-0.029708653688430786,
-0.03626695275306702,
0.0034809147473424673,
0.0004994158516637981,
0.023383023217320442,
-0.0022448720410466194,
0.02157985419034958,
-0.008165153674781322,
-0.00039330701110884547,
-0.037604786455631256,
0.013109325431287289,
-0.02421189844608307,
0.03617970272898674,
-0.060784224420785904,
0.0038317327853292227,
0.0008166062762029469,
0.02505531534552574,
-0.061191391199827194,
-0.006023891270160675,
0.020183851942420006,
0.03268969804048538,
0.022234229370951653,
-0.0500524640083313,
-0.03088652901351452,
0.05775955691933632,
0.018627893179655075,
0.02160893753170967,
-0.0028174505569040775,
-0.03458011522889137,
-0.01356738805770874,
-0.01416359655559063,
-0.003940795548260212,
-0.024110106751322746,
-0.037197619676589966,
0.023223064839839935,
-0.04766763001680374,
0.001849520020186901,
-0.004326149821281433,
0.028821611776947975,
-0.01136432308703661,
0.016097640618681908,
-0.024110106751322746,
-0.003497274126857519,
-0.058253973722457886,
0.023935606703162193,
0.049587130546569824,
-0.03469644859433174,
0.03428928181529045,
-0.04228720813989639,
-0.05421138554811478,
0.01126980222761631,
-0.03548170253634453,
-0.04315970838069916,
-0.014199950732290745,
-0.057701390236616135,
-0.00233030435629189,
-0.005235005170106888,
-0.059330057352781296,
0.012447678484022617,
-0.01868605986237526,
0.059330057352781296,
-0.01787172630429268,
-0.011066218838095665,
-0.022481437772512436,
-0.0012369516771286726,
-0.0355980359017849,
-0.008557778783142567,
-0.007816153578460217,
-0.005314984358847141,
0.004711504559963942,
-0.06950923055410385,
-0.01890418492257595,
-0.003762659849599004,
-0.003686316078528762,
0.010499093681573868,
-0.010121009312570095,
-0.01262217853218317,
0.024037398397922516,
0.002648403635248542,
-0.024851731956005096,
0.00019358612189535052,
-0.04481745883822441,
0.03900078684091568,
-0.011487927287817001,
-0.026116859167814255,
0.006016620434820652,
0.025927817448973656,
0.0016041290946304798,
-0.05182655155658722,
-0.02421189844608307,
0.017290057614445686,
0.030944695696234703,
0.0006307453732006252,
0.04089120775461197,
0.029316028580069542,
0.027265651151537895,
0.020038435235619545,
-0.04269437491893768,
0.01746455766260624,
0.037575703114271164,
0.021550770848989487,
0.010237343609333038,
-0.0006012076046317816,
0.03266061469912529,
-0.005238640587776899,
0.01782810129225254,
-0.0048714629374444485,
-0.014759805984795094,
0.0006993639399297535,
0.002492080442607403,
0.04935446381568909,
0.015123347751796246,
0.01634484902024269,
0.02306310646235943,
0.010949885472655296,
0.04382862523198128,
0.0032518834341317415,
-0.021856145933270454,
0.004057128913700581,
-0.0006993639399297535,
0.028269026428461075,
-0.04720229655504227,
0.01544326450675726,
-0.022001562640070915,
-0.021754354238510132,
0.028923403471708298,
0.017173724249005318,
-0.009168529883027077,
0.005700338631868362,
0.08184058219194412,
0.01808985136449337,
-0.030799278989434242,
0.04696962982416153,
0.014905222691595554,
0.019820310175418854,
-0.013785513117909431,
0.03667411953210831,
0.023601148277521133,
0.08905325084924698,
-0.02579694241285324,
-0.04883096367120743,
-0.03024669550359249,
0.0024648148100823164,
-0.0481911301612854,
-0.015370556153357029,
0.0019740331918001175,
-0.006685537751764059,
-0.016228515654802322,
-0.06764789670705795,
0.011182552203536034,
-0.03809920325875282,
0.02291768789291382,
0.07026539742946625,
-0.036499619483947754,
-0.03463828191161156,
0.06055155768990517,
-0.000007547756922576809,
-0.0031846279744058847,
0.043915875256061554,
-0.009263050742447376,
0.017813559621572495,
0.059446390718221664,
0.04278162494301796,
0.011371593922376633,
0.021143604069948196,
-0.01768268458545208,
-0.013131137937307358,
0.029519611969590187,
0.02672760933637619,
-0.014170867390930653,
0.016562974080443382,
0.018700601533055305,
0.02306310646235943,
-0.010470010340213776,
-0.008419632911682129,
-0.002777460962533951,
-0.015472347848117352,
-0.02134718745946884,
0.01624305732548237,
-0.01694105751812458,
0.018860559910535812,
0.004169826861470938,
0.01292028371244669,
0.043537791818380356,
-0.008550507947802544,
-0.052582718431949615,
-0.027163859456777573,
-0.040716707706451416,
-0.05752689018845558,
0.01230953261256218,
0.01935497671365738,
0.006198391318321228,
-0.015152431093156338,
-0.014505326747894287,
0.004627889953553677,
-0.028152693063020706,
-0.04603896290063858,
-0.024779023602604866,
0.028298109769821167,
0.017929892987012863,
0.07922307401895523,
0.03303869813680649,
-0.03993145376443863,
-0.023339398205280304,
0.010717218741774559,
0.04621346294879913,
-0.030828362330794334,
0.02684394270181656,
0.04516645893454552,
0.042723458260297775,
0.019224101677536964,
0.02672760933637619,
0.018889643251895905,
-0.03737211972475052,
0.06177305802702904,
-0.015821348875761032,
-0.0003903532342519611,
-0.002044923836365342,
-0.050954047590494156,
0.046911463141441345,
0.014621660113334656,
-0.018177101388573647,
0.005420411471277475,
-0.00008986303873825818,
0.01823526807129383,
-0.03507453203201294,
-0.018933268263936043,
-0.048801880329847336,
0.03667411953210831,
-0.04260712489485741,
0.0015695926267653704,
0.0218706876039505,
-0.05502571910619736,
0.2480228990316391,
0.07573307305574417,
0.06927656382322311,
0.02586965076625347,
0.014381722547113895,
0.013945471495389938,
0.012673074379563332,
-0.02710569277405739,
0.00666372524574399,
-0.015806807205080986,
-0.00856504961848259,
-0.0032155292574316263,
0.038244619965553284,
-0.02472085691988468,
0.00910309236496687,
0.06439056247472763,
-0.02935965359210968,
0.0050532338209450245,
0.004718775395303965,
-0.06916023045778275,
-0.014323555864393711,
-0.016853807494044304,
0.010746302083134651,
-0.00951025914400816,
-0.0006648274720646441,
-0.014061804860830307,
0.03129369765520096,
-0.02883615344762802,
-0.04315970838069916,
-0.01236042845994234,
-0.05112854763865471,
-0.03981512039899826,
0.03792470321059227,
0.004148014355450869,
-0.007590757217258215,
0.015065181069076061,
-0.054327718913555145,
0.01052817702293396,
-0.008550507947802544,
-0.0031046487856656313,
0.003595430636778474,
-0.0078088827431201935,
0.060784224420785904,
-0.023528439924120903,
-0.027745526283979416,
0.05813764035701752,
-0.041094791144132614,
0.0035118157975375652,
0.020140226930379868,
-0.05362971872091293,
0.041531041264534,
-0.06183122470974922,
-0.00654375646263361,
0.006511037703603506,
-0.07358090579509735,
0.060260724276304245,
0.027483776211738586,
-0.0318753644824028,
0.02443002350628376,
0.0033064146991819143,
0.06183122470974922,
0.019994810223579407,
-0.005667619872838259,
-0.01342197135090828,
0.016228515654802322,
0.026218650862574577,
0.026015067473053932,
0.07392990589141846,
-0.0174209326505661,
0.03626695275306702,
-0.03303869813680649,
-0.022568687796592712,
-0.04141470789909363,
0.05354246869683266,
0.021419895812869072,
-0.03969878703355789,
0.001715009449981153,
0.01779901795089245,
-0.024924440309405327,
-0.001819527824409306,
-0.004264347720891237,
-0.0013187486911192536,
-0.02902519516646862,
-0.02488081529736519,
0.03141003102064133,
0.04627162963151932,
0.014214493334293365,
-0.04868554696440697,
-0.010499093681573868,
0.03833186998963356,
0.011109843850135803,
0.02528798207640648,
0.036645036190748215,
-0.019558560103178024,
-0.04307245835661888
] |
1206_18 | Qualitative understanding of shapes
The shapes of atomic orbitals can be qualitatively understood by considering the analogous case of standing waves on a circular drum. To see the analogy, the mean vibrational displacement of each bit of drum membrane from the equilibrium point over many cycles (a measure of average drum membrane velocity and momentum at that point) must be considered relative to that point's distance from the center of the drum head. If this displacement is taken as being analogous to the probability of finding an electron at a given distance from the nucleus, then it will be seen that the many modes of the vibrating disk form patterns that trace the various shapes of atomic orbitals. The basic reason for this correspondence lies in the fact that the distribution of kinetic energy and momentum in a matter-wave is predictive of where the particle associated with the wave will be. That is, the probability of finding an electron at a given place is also a function of the electron's average momentum at that point, since high electron momentum at a given position tends to "localize" the electron in that position, via the properties of electron wave-packets (see the Heisenberg uncertainty principle for details of the mechanism).
This relationship means that certain key features can be observed in both drum membrane modes and atomic orbitals. For example, in all of the modes analogous to s orbitals (the top row in the animated illustration below), it can be seen that the very center of the drum membrane vibrates most strongly, corresponding to the antinode in all s orbitals in an atom. This antinode means the electron is most likely to be at the physical position of the nucleus (which it passes straight through without scattering or striking it), since it is moving (on average) most rapidly at that point, giving it maximal momentum.
A mental "planetary orbit" picture closest to the behavior of electrons in s orbitals, all of which have no angular momentum, might perhaps be that of a Keplerian orbit with the orbital eccentricity of 1 but a finite major axis, not physically possible (because particles were to collide), but can be imagined as a limit of orbits with equal major axes but increasing eccentricity. | [
0.011698562651872635,
0.021651070564985275,
0.030593903735280037,
-0.03355460613965988,
0.015471557155251503,
0.030001765117049217,
-0.0027804013807326555,
-0.01308781374245882,
-0.04047808796167374,
0.09741463512182236,
0.07646198570728302,
-0.006756470073014498,
0.0009299636003561318,
-0.006805815268307924,
-0.04403093084692955,
0.03446558862924576,
0.0006139657343737781,
-0.0053861974738538265,
-0.049132443964481354,
-0.0032112211920320988,
-0.017414990812540054,
-0.01440874207764864,
-0.021787717938423157,
-0.035042546689510345,
-0.022941632196307182,
0.02231912687420845,
0.027952048927545547,
0.009610889479517937,
0.06170403212308884,
0.041419439017772675,
-0.001217493205331266,
-0.017916033044457436,
0.01808304712176323,
-0.05508420988917351,
-0.011645421385765076,
-0.002364764455705881,
0.005412767641246319,
-0.06589456647634506,
0.03027505986392498,
-0.07694784551858902,
0.039992231875658035,
-0.0017080963589251041,
-0.011410083621740341,
0.011372126638889313,
-0.0004607115697581321,
-0.04400056228041649,
-0.030578721314668655,
-0.00855566468089819,
-0.014507432468235493,
-0.030123228207230568,
0.010332085192203522,
-0.020163128152489662,
-0.00633134413510561,
-0.008320326916873455,
-0.008153313770890236,
-0.007971116341650486,
-0.014606121927499771,
0.011326576583087444,
-0.01651919074356556,
0.02470286935567856,
0.06486211717128754,
-0.022455774247646332,
-0.014522614888846874,
-0.031671904027462006,
-0.04175346717238426,
0.03416192904114723,
-0.020603438839316368,
0.015061614103615284,
-0.012078138999640942,
-0.039992231875658035,
0.00820645410567522,
0.02004166506230831,
0.016002966091036797,
-0.008130539208650589,
-0.035892799496650696,
0.017779385671019554,
-0.00801666546612978,
-0.04266445338726044,
-0.03473888337612152,
0.014811093918979168,
-0.008821369148790836,
-0.02303273044526577,
0.004999028984457254,
0.03422265872359276,
0.030791284516453743,
-0.016822852194309235,
-0.03616609424352646,
0.04114614427089691,
0.03315984457731247,
-0.009891776368021965,
0.06893117725849152,
0.0400225967168808,
-0.03592316433787346,
-0.0037635057233273983,
0.038170259445905685,
0.02991066500544548,
0.010491508059203625,
0.026828501373529434,
0.011060873046517372,
0.03920270875096321,
-0.0008464566781185567,
0.09043041616678238,
-0.002305930247530341,
0.05538787320256233,
-0.05948730558156967,
0.01870555430650711,
-0.016428092494606972,
0.06747360527515411,
0.03331167623400688,
-0.06225062534213066,
0.021028565242886543,
-0.016959499567747116,
0.008570848032832146,
-0.005963154137134552,
-0.014757952652871609,
0.03665195405483246,
0.03291691467165947,
0.0008516758680343628,
0.01054464839398861,
-0.017870483919978142,
-0.03543730825185776,
0.01526658609509468,
0.023093463853001595,
0.010370043106377125,
0.015972599387168884,
-0.0030024538282305002,
-0.029713286086916924,
0.01811341382563114,
-0.021317042410373688,
0.002281257649883628,
0.004733324982225895,
0.0045055788941681385,
0.017536455765366554,
0.01796158216893673,
0.006395872216671705,
0.07069241255521774,
-0.008783411234617233,
0.025370925664901733,
-0.014218953438103199,
0.011926308274269104,
0.02362487092614174,
-0.05973023176193237,
0.03558913618326187,
0.06747360527515411,
-0.04882878065109253,
0.05068111792206764,
0.009459057822823524,
0.0040349033661186695,
-0.023078279569745064,
-0.023898165673017502,
-0.005879647564142942,
-0.01967727020382881,
-0.034799616783857346,
0.035740967839956284,
-0.02301754802465439,
-0.015539881773293018,
-0.02353377267718315,
0.004088044166564941,
-0.03677341714501381,
0.027830583974719048,
0.0077965110540390015,
-0.0018874465022236109,
0.02711697854101658,
0.02289608307182789,
-0.016428092494606972,
-0.0007510879659093916,
-0.044182758778333664,
-0.06261501461267471,
0.020299777388572693,
-0.013072631321847439,
-0.03522474318742752,
0.012518448755145073,
0.003412397112697363,
0.012503265403211117,
0.03315984457731247,
0.05654178559780121,
0.02980438433587551,
-0.02398926578462124,
-0.01688358373939991,
-0.0018105822382494807,
-0.015593022108078003,
-0.009808269329369068,
0.05535750463604927,
0.021863633766770363,
-0.012184420600533485,
-0.030426889657974243,
-0.06589456647634506,
0.026600753888487816,
-0.016929132863879204,
-0.004649817943572998,
-0.004175346810370684,
0.06261501461267471,
-0.04813035950064659,
0.008229228667914867,
0.017673103138804436,
-0.012624730356037617,
-0.04530630633234978,
0.02313901297748089,
-0.03373680263757706,
-0.056632883846759796,
-0.00530269043520093,
-0.001173841767013073,
-0.026585571467876434,
0.012017407454550266,
-0.05645068734884262,
0.0013000511098653078,
0.04008333012461662,
0.05642032250761986,
-0.020588254556059837,
0.011516365222632885,
-0.020891916006803513,
-0.01931287720799446,
0.03003212995827198,
0.012138871476054192,
0.006039069499820471,
-0.006574273109436035,
0.024308109655976295,
0.02845308929681778,
-0.008517707698047161,
0.044091660529375076,
-0.016230711713433266,
0.039506372064352036,
-0.03458705544471741,
0.05183503031730652,
-0.02714734524488449,
-0.027557289227843285,
0.016610288992524147,
0.0468246154487133,
0.04062991961836815,
0.020345326513051987,
0.000615389202721417,
0.026555204764008522,
0.01592705026268959,
0.02183326706290245,
0.04151053726673126,
0.025780867785215378,
0.02206101454794407,
0.04472935199737549,
0.01702023111283779,
-0.020907100290060043,
0.03777550160884857,
-0.004930704832077026,
0.024626953527331352,
0.0037331394851207733,
0.027769852429628372,
0.002148405648767948,
0.0224405899643898,
0.053839199244976044,
-0.01267027948051691,
0.03425302729010582,
-0.06455845385789871,
0.041419439017772675,
0.033372409641742706,
-0.0028525209054350853,
-0.015577838756144047,
0.009755128063261509,
0.02473323605954647,
0.02169661968946457,
-0.03185410052537918,
-0.06215952709317207,
0.007382772397249937,
0.008882101625204086,
0.015896683558821678,
0.0020098600070923567,
0.0012459614081308246,
0.03795769810676575,
0.022273577749729156,
0.03255252167582512,
-0.019586171954870224,
-0.009610889479517937,
-0.05763496831059456,
0.0019472298445180058,
-0.031034214422106743,
0.02364005334675312,
-0.01784011721611023,
-0.02881748415529728,
-0.02257723920047283,
-0.026615938171744347,
0.08186716586351395,
-0.03291691467165947,
-0.021894000470638275,
0.008760636672377586,
-0.006023886613547802,
0.03200593218207359,
-0.021317042410373688,
0.03413156047463417,
-0.028407540172338486,
0.01133416872471571,
-0.06789872795343399,
0.02773948572576046,
-0.024642137810587883,
-0.03291691467165947,
-0.017809752374887466,
-0.016306627541780472,
0.01295875757932663,
-0.008069806732237339,
0.020056847482919693,
-0.012199603952467442,
0.030244693160057068,
-0.028498640283942223,
-0.02074008621275425,
0.0005650952225551009,
-0.023002365604043007,
-0.011227887123823166,
-0.03750220686197281,
0.044182758778333664,
0.010582606308162212,
-0.001684372778981924,
-0.025856783613562584,
0.015623388811945915,
-0.024809151887893677,
0.014742770232260227,
-0.021772535517811775,
0.008517707698047161,
-0.04151053726673126,
0.05411249399185181,
0.06534796953201294,
-0.0028297463431954384,
0.04111577942967415,
-0.03182373195886612,
-0.013224462047219276,
-0.007788919378072023,
0.03352423757314682,
-0.04084248095750809,
-0.012951166369020939,
0.07634051889181137,
0.010438366793096066,
-0.04138907417654991,
0.01361922174692154,
-0.03941527381539345,
-0.029941031709313393,
0.03908124566078186,
0.030366158112883568,
0.02231912687420845,
-0.036955613642930984,
-0.003905847202986479,
-0.022622788324952126,
0.00630477350205183,
0.049496836960315704,
0.026433739811182022,
0.007591539528220892,
-0.0228049848228693,
0.0033478690311312675,
-0.012169238179922104,
-0.020087214186787605,
0.017916033044457436,
0.02702588029205799,
-0.011417675763368607,
-0.019221778959035873,
0.00905670691281557,
-0.03583206608891487,
0.012085731141269207,
-0.006103597581386566,
0.010650929994881153,
0.027815401554107666,
0.03434412553906441,
-0.06546943634748459,
-0.043575435876846313,
-0.07117827236652374,
0.017900850623846054,
-0.04330214112997055,
0.04038698971271515,
0.01639772579073906,
-0.013664770871400833,
-0.02518872730433941,
-0.024687686935067177,
0.02760283835232258,
-0.012822110205888748,
0.03029024228453636,
-0.044577520340681076,
0.006498357746750116,
-0.004828219301998615,
0.01580558530986309,
0.008092581294476986,
-0.0026968943420797586,
-0.012465307489037514,
0.047948163002729416,
0.04157127067446709,
0.017278343439102173,
-0.01711132936179638,
-0.0012953064870089293,
-0.018508173525333405,
0.016473641619086266,
0.009322410449385643,
-0.02023904398083687,
0.013528123497962952,
0.011364534497261047,
-0.03413156047463417,
0.03522474318742752,
-0.05043818801641464,
-0.014735178090631962,
-0.054082129150629044,
-0.022212844341993332,
-0.027769852429628372,
-0.023898165673017502,
-0.038656119257211685,
0.06565163284540176,
0.01771865412592888,
-0.015524698421359062,
-0.024414390325546265,
0.013444616459310055,
0.03944563865661621,
0.016443274915218353,
0.00131048948969692,
-0.014393558725714684,
0.012556406669318676,
-0.023351576179265976,
-0.0036913861986249685,
-0.0020933670457452536,
-0.010233395732939243,
-0.053839199244976044,
0.022865716367959976,
0.005344443954527378,
-0.007413138169795275,
0.02291126549243927,
0.008062214590609074,
-0.04655132070183754,
0.0062288581393659115,
0.00004184243152849376,
0.009808269329369068,
-0.05402139574289322,
0.0024824333377182484,
-0.009436283260583878,
0.06467991322278976,
0.03604463115334511,
-0.07178559899330139,
-0.008031848818063736,
-0.02558348886668682,
0.04646022245287895,
0.029941031709313393,
-0.03401009738445282,
-0.019236961379647255,
-0.0380791611969471,
0.010476324707269669,
-0.03619645908474922,
0.024930614978075027,
0.03170226886868477,
0.0046991631388664246,
0.011182337999343872,
0.003501597559079528,
0.025993430987000465,
-0.00636550597846508,
-0.0407513827085495,
-0.006411055102944374,
0.007925567217171192,
0.0042512621730566025,
0.007018378470093012,
0.009831043891608715,
0.003989354241639376,
-0.014188587665557861,
0.01068129576742649,
-0.013065039180219173,
0.03801843151450157,
-0.03923307731747627,
-0.007162617519497871,
0.031793367117643356,
0.014241728000342846,
-0.057209841907024384,
0.0183107927441597,
0.0006319956737570465,
-0.016002966091036797,
-0.01677730306982994,
0.019570989534258842,
-0.012943575158715248,
-0.02606934681534767,
0.029242610558867455,
-0.025416474789381027,
0.04846438765525818,
0.02616044506430626,
-0.002338194288313389,
0.03449595719575882,
0.020588254556059837,
-0.020284593105316162,
-0.026858866214752197,
0.0441523939371109,
-0.037198543548583984,
-0.017749018967151642,
-0.022501323372125626,
-0.009170579724013805,
-0.0458528995513916,
-0.004881360102444887,
-0.00031172760645858943,
0.005746795330196619,
-0.028498640283942223,
0.0009185762610286474,
0.01074202824383974,
-0.03264361992478371,
0.01013470534235239,
-0.030943114310503006,
0.014431516639888287,
-0.010696479119360447,
-0.000021306723283487372,
0.026798134669661522,
-0.013474982231855392,
0.014021573588252068,
-0.017187245190143585,
-0.04967903345823288,
-0.012822110205888748,
0.03795769810676575,
-0.018143778666853905,
0.0385650210082531,
0.02978920191526413,
-0.01434800960123539,
0.013292785733938217,
0.007993890903890133,
-0.011227887123823166,
0.017172062769532204,
0.0015866317553445697,
0.01267027948051691,
0.01380141917616129,
-0.006991807837039232,
-0.001314285327680409,
0.01906994730234146,
-0.00023035578487906605,
0.027769852429628372,
0.03461742028594017,
0.024778785184025764,
-0.022349491715431213,
-0.03844355791807175,
0.034435223788022995,
0.029698101803660393,
-0.030366158112883568,
0.01955580525100231,
0.03795769810676575,
-0.025902332738041878,
0.03437449038028717,
-0.03422265872359276,
-0.03139860928058624,
-0.002628570655360818,
-0.06352600455284119,
0.032127395272254944,
-0.07117827236652374,
-0.05207796022295952,
-0.04248225688934326,
-0.017900850623846054,
-0.016807667911052704,
0.006684350781142712,
0.015228628180921078,
-0.017764203250408173,
-0.037593305110931396,
-0.04858585447072983,
-0.024429574608802795,
0.031216410920023918,
-0.03215776011347771,
-0.0241410955786705,
-0.010597789660096169,
-0.08040958642959595,
0.03361533582210541,
-0.04922354221343994,
-0.026327459141612053,
0.005693654529750347,
-0.0016236405353993177,
0.05863705277442932,
0.0012421656865626574,
0.025173544883728027,
-0.009610889479517937,
-0.02051234059035778,
0.06279721856117249,
0.01188075914978981,
0.016913950443267822,
0.00003884733087033965,
0.048919882625341415,
-0.02436884120106697,
0.012434941716492176,
0.025173544883728027,
-0.01858408935368061,
0.011782069690525532,
-0.001153914025053382,
0.06662335246801376,
-0.051683202385902405,
-0.04916280880570412,
-0.015562656335532665,
0.03246142342686653,
0.02918187715113163,
-0.024793967604637146,
-0.052746016532182693,
-0.03385826572775841,
-0.026843683794140816,
-0.03619645908474922,
-0.009777902625501156,
0.012860068120062351,
-0.024323292076587677,
-0.033372409641742706,
-0.02606934681534767,
0.002884784946218133,
-0.08180642873048782,
0.029394440352916718,
0.02676776796579361,
0.028255710378289223,
-0.020800817757844925,
-0.0017090453766286373,
0.008183679543435574,
-0.0027025879826396704,
0.03062427043914795,
0.004243670497089624,
-0.016716569662094116,
-0.013057447969913483,
0.0016986069967970252,
-0.0037635057233273983,
-0.041662368923425674,
-0.013459799811244011,
0.03741110861301422,
0.04321104288101196,
-0.0007221451960504055,
0.05089367926120758,
0.004729528911411762,
0.01653437316417694,
0.00296829198487103,
0.007652272004634142,
0.004604268819093704,
0.030685001984238625,
0.020163128152489662,
0.004418275784701109,
-0.005116697866469622,
-0.04315030947327614,
0.00729926535859704,
-0.05642032250761986,
-0.0015657549956813455,
0.06474065035581589,
-0.02497616596519947,
-0.013474982231855392,
0.005329260602593422,
-0.0034883124753832817,
-0.04041735827922821,
-0.018523355945944786,
-0.05994279682636261,
-0.022455774247646332,
0.014461882412433624,
-0.03568023443222046,
-0.020557889714837074,
-0.014393558725714684,
-0.05232089012861252,
-0.0037350375205278397,
0.015023657120764256,
-0.01127343624830246,
0.02157515473663807,
-0.026130078360438347,
0.009003565646708012,
-0.0475534051656723,
0.012533632107079029,
0.07433635741472244,
0.016002966091036797,
-0.005530436523258686,
-0.04053882136940956,
-0.02617562748491764,
-0.01013470534235239,
-0.025765685364603996,
0.044820450246334076,
0.003725548041984439,
0.0015951722161844373,
0.011000140570104122,
0.01627626083791256,
0.015820767730474472,
0.03677341714501381,
0.005446929484605789,
0.0020971628837287426,
0.0005299843614920974,
-0.05213869363069534,
-0.01519826240837574,
0.04257335513830185,
0.0228049848228693,
0.05620775744318962,
-0.024338476359844208,
-0.04597436264157295,
-0.03270435333251953,
0.009808269329369068,
-0.033949363976716995,
-0.025143178179860115,
0.0016350278165191412,
-0.07221072167158127,
-0.05836375430226326,
-0.056754350662231445,
-0.02218247763812542,
0.013239645399153233,
0.01674693636596203,
-0.047219377011060715,
-0.029394440352916718,
-0.028058329597115517,
0.01846262440085411,
0.011782069690525532,
0.05065075308084488,
0.019252143800258636,
0.009831043891608715,
-0.03741110861301422,
0.005883443169295788,
-0.011326576583087444,
-0.03027505986392498,
-0.0012402677675709128,
0.009671621024608612,
0.006866547744721174,
0.017657920718193054,
-0.0008103968575596809,
0.09869001060724258,
-0.06127890571951866,
-0.021150028333067894,
0.016367359086871147,
-0.003818544326350093,
-0.01676211878657341,
0.035042546689510345,
-0.03276508301496506,
0.0405084565281868,
0.010491508059203625,
0.0029531088657677174,
-0.008517707698047161,
-0.0034845166373997927,
-0.08156350255012512,
0.024080364033579826,
-0.009170579724013805,
0.04151053726673126,
-0.017809752374887466,
-0.014051939360797405,
0.029333708807826042,
0.034192293882369995,
-0.05824229121208191,
-0.0000140784504765179,
-0.002275564009323716,
0.0201327633112669,
-0.009975283406674862,
-0.028984498232603073,
-0.019935382530093193,
0.05089367926120758,
0.0032339957542717457,
0.013232053257524967,
-0.04515447840094566,
-0.038868680596351624,
-0.014006390236318111,
0.030472440645098686,
-0.01941915787756443,
0.0011083647841587663,
-0.017582004889845848,
-0.02181808464229107,
-0.024642137810587883,
0.01248049084097147,
-0.031793367117643356,
-0.00358890020288527,
-0.024049997329711914,
0.018174145370721817,
-0.0058265067636966705,
-0.010119521990418434,
-0.07142120599746704,
0.03343313932418823,
0.010430775582790375,
-0.03221849352121353,
0.025629037991166115,
-0.06194696202874184,
-0.023336391896009445,
0.011895942501723766,
-0.05222979187965393,
-0.03677341714501381,
-0.025735318660736084,
-0.02277461811900139,
-0.029849933460354805,
0.022349491715431213,
-0.04454715549945831,
-0.016929132863879204,
0.021150028333067894,
0.04642985761165619,
-0.0020231453236192465,
0.03470851853489876,
-0.05514494329690933,
0.02928815968334675,
-0.0077965110540390015,
0.018660003319382668,
-0.014218953438103199,
0.013042264617979527,
-0.005496274679899216,
-0.06018572673201561,
0.02374633587896824,
-0.00039926753379404545,
-0.013239645399153233,
-0.004566310904920101,
-0.005245754029601812,
-0.024262560531497,
0.02751174010336399,
-0.00400833273306489,
0.004315790254622698,
0.018887750804424286,
-0.05942657217383385,
0.054932381957769394,
0.00044979871017858386,
-0.01638254150748253,
0.0073562017641961575,
-0.0031106332316994667,
0.02424737811088562,
-0.03086720034480095,
-0.06334380805492401,
0.026084529235959053,
0.014256911352276802,
-0.008160904981195927,
0.03230959177017212,
0.05110624432563782,
0.030366158112883568,
0.01929769292473793,
-0.04964866861701012,
0.028787117451429367,
0.012647504918277264,
0.028544189408421516,
0.024687686935067177,
0.02893894910812378,
0.01689876616001129,
0.011045689694583416,
-0.0020971628837287426,
0.0040273116901516914,
0.010339676402509212,
0.004399297293275595,
0.0023495815694332123,
0.02353377267718315,
-0.018128596246242523,
0.03580170124769211,
0.033099111169576645,
0.03592316433787346,
0.01844744198024273,
0.01380901038646698,
-0.02543165720999241,
0.02183326706290245,
-0.015501923859119415,
0.02567458711564541,
-0.022531690075993538,
-0.03586243465542793,
-0.04375763237476349,
0.004604268819093704,
0.04846438765525818,
-0.003571819281205535,
0.008396242745220661,
0.0038944596890360117,
0.06546943634748459,
0.02892376482486725,
-0.06194696202874184,
0.03871685266494751,
0.01711132936179638,
0.00539758475497365,
-0.01140249241143465,
0.04041735827922821,
0.051197342574596405,
0.04582253098487854,
-0.015608205460011959,
-0.02301754802465439,
0.014363192953169346,
0.051197342574596405,
-0.06370820105075836,
0.008548073470592499,
-0.009102256037294865,
-0.015061614103615284,
-0.008092581294476986,
-0.06425479054450989,
0.014165813103318214,
-0.04764450341463089,
-0.004224691540002823,
0.03895978257060051,
-0.04184456542134285,
-0.03425302729010582,
0.036135729402303696,
0.010688887909054756,
0.016792485490441322,
0.047583770006895065,
0.013702728785574436,
-0.004349952097982168,
0.04946647211909294,
0.07609759271144867,
-0.004869972821325064,
0.009018748998641968,
-0.005625330843031406,
0.010051198303699493,
0.008062214590609074,
0.008092581294476986,
-0.019631721079349518,
0.011918717063963413,
-0.02002648077905178,
0.004850993864238262,
-0.013474982231855392,
0.014978107064962387,
-0.005693654529750347,
-0.02485470101237297,
-0.006524928379803896,
0.0185537226498127,
-0.025856783613562584,
0.017916033044457436,
0.021635888144373894,
-0.001860876102000475,
0.014552981592714787,
-0.012973940931260586,
-0.0439094640314579,
-0.0008744504884816706,
-0.04500264674425125,
-0.061096709221601486,
0.018067864701151848,
-0.03343313932418823,
-0.01735425926744938,
-0.016109246760606766,
0.0022129337303340435,
-0.019844284281134605,
0.006756470073014498,
-0.017096146941184998,
-0.016200345009565353,
0.024034814909100533,
0.030320608988404274,
0.05128844082355499,
-0.023837434127926826,
-0.05402139574289322,
0.002281257649883628,
0.017885666340589523,
0.07816249132156372,
0.0060428655706346035,
0.013497757725417614,
0.03185410052537918,
0.01399120781570673,
-0.0016331298975273967,
0.0015325420536100864,
0.010893858969211578,
-0.033463507890701294,
0.045063380151987076,
-0.0026741197798401117,
0.02291126549243927,
-0.02172698639333248,
-0.012032589875161648,
0.026433739811182022,
0.00654390687122941,
0.00879859458655119,
0.009330001659691334,
0.008768227882683277,
0.0417231023311615,
-0.03194519877433777,
0.04102468118071556,
-0.03410119563341141,
0.043605804443359375,
0.01025617029517889,
-0.018781468272209167,
-0.012586772441864014,
-0.053019311279058456,
0.27378126978874207,
0.08144203573465347,
0.06212915852665901,
0.04533667489886284,
0.022470956668257713,
-0.013604039326310158,
-0.0022831554524600506,
-0.030700186267495155,
-0.01639772579073906,
-0.03692524880170822,
0.0022376063279807568,
-0.006688146386295557,
-0.019479891285300255,
-0.03349387273192406,
0.03294728323817253,
0.05062038451433182,
-0.014871826395392418,
-0.007075314875692129,
0.007864834740757942,
-0.054598353803157806,
-0.025264643132686615,
-0.008373468182981014,
-0.02497616596519947,
-0.021423324942588806,
-0.020709719508886337,
0.025295009836554527,
0.023974081501364708,
0.0019662086851894855,
-0.04217859357595444,
-0.010157479904592037,
-0.03941527381539345,
-0.013733095489442348,
0.020193494856357574,
0.005185021553188562,
-0.030366158112883568,
0.016488824039697647,
-0.030320608988404274,
-0.012806926853954792,
-0.006411055102944374,
0.002372356131672859,
-0.0009963895427063107,
-0.03586243465542793,
0.018401890993118286,
0.003575615119189024,
-0.052897848188877106,
0.06650188565254211,
-0.015312135219573975,
0.034070830792188644,
-0.027572471648454666,
-0.04646022245287895,
0.03130750730633736,
-0.03428339213132858,
-0.000984053360298276,
-0.008532890118658543,
-0.08132056891918182,
0.010332085192203522,
0.023670420050621033,
-0.005966950207948685,
-0.017916033044457436,
0.0020421240478754044,
0.04664241895079613,
-0.028361991047859192,
-0.008768227882683277,
-0.00650974502786994,
0.017688287422060966,
0.04175346717238426,
0.031216410920023918,
0.03868648409843445,
0.007602926809340715,
0.024338476359844208,
-0.003791973926126957,
-0.023351576179265976,
-0.005761978682130575,
0.04427385702729225,
0.018902933225035667,
-0.01702023111283779,
-0.02954627200961113,
-0.002478637732565403,
-0.011296210810542107,
-0.015638571232557297,
-0.0030024538282305002,
-0.012100914493203163,
-0.0378362312912941,
0.03470851853489876,
0.03944563865661621,
0.017536455765366554,
-0.03385826572775841,
-0.033584970980882645,
-0.006293386220932007,
0.01381660159677267,
0.038868680596351624,
0.049861229956150055,
0.017794568091630936,
-0.008722678758203983,
-0.03619645908474922
] |
1206_19 | Below, a number of drum membrane vibration modes and the respective wave functions of the hydrogen atom are shown. A correspondence can be considered where the wave functions of a vibrating drum head are for a two-coordinate system and the wave functions for a vibrating sphere are three-coordinate .
None of the other sets of modes in a drum membrane have a central antinode, and in all of them the center of the drum does not move. These correspond to a node at the nucleus for all non-s orbitals in an atom. These orbitals all have some angular momentum, and in the planetary model, they correspond to particles in orbit with eccentricity less than 1.0, so that they do not pass straight through the center of the primary body, but keep somewhat away from it.
In addition, the drum modes analogous to p and d modes in an atom show spatial irregularity along the different radial directions from the center of the drum, whereas all of the modes analogous to s modes are perfectly symmetrical in radial direction. The non radial-symmetry properties of non-s orbitals are necessary to localize a particle with angular momentum and a wave nature in an orbital where it must tend to stay away from the central attraction force, since any particle localized at the point of central attraction could have no angular momentum. For these modes, waves in the drum head tend to avoid the central point. Such features again emphasize that the shapes of atomic orbitals are a direct consequence of the wave nature of electrons.
Orbital energy | [
-0.004656119737774134,
0.0314251147210598,
0.03668726608157158,
-0.04115122929215431,
-0.015357804484665394,
0.02158074639737606,
-0.011019483208656311,
-0.011876801028847694,
-0.03343537449836731,
0.046590760350227356,
0.06302760541439056,
-0.010036524385213852,
-0.008211030624806881,
-0.024433542042970657,
-0.05531174689531326,
0.031129486858844757,
-0.008225811645388603,
0.005417358595877886,
-0.06249547377228737,
-0.01936354488134384,
0.002413052599877119,
-0.027729779481887817,
-0.05625775083899498,
-0.02251197025179863,
-0.02514304593205452,
0.020945148542523384,
0.005942095536738634,
0.04257023707032204,
0.032459806650877,
0.03594820201396942,
0.029015755280852318,
-0.015283897519111633,
0.05412923917174339,
-0.03384925052523613,
-0.000159938630531542,
-0.0007543098763562739,
0.0034976329188793898,
-0.06214072182774544,
0.046295132488012314,
-0.08490397781133652,
0.02999132312834263,
0.0015603543724864721,
-0.028424503281712532,
-0.013391886837780476,
0.001991784665733576,
-0.025734299793839455,
-0.02178768441081047,
0.01141118910163641,
-0.01689506322145462,
-0.03441094234585762,
0.001613012864254415,
-0.011862019076943398,
0.010694294236600399,
0.0022282858844846487,
-0.025364765897393227,
-0.018402758985757828,
-0.0026236865669488907,
-0.02390141412615776,
-0.012253724969923496,
0.03668726608157158,
0.04112166538834572,
-0.0004328158975113183,
-0.01489219255745411,
-0.0311590489000082,
-0.028675785288214684,
0.0024001188576221466,
-0.007239157799631357,
0.018092351034283638,
-0.013768811710178852,
-0.025172609835863113,
-0.006825280375778675,
0.007520002778619528,
0.024684825912117958,
-0.022733690217137337,
-0.025423891842365265,
0.04053041338920593,
-0.014825676567852497,
-0.036391641944646835,
-0.04697507619857788,
-0.004404837265610695,
0.0007307521300390363,
-0.010805154219269753,
0.0017109392210841179,
0.014360064640641212,
-0.007298282813280821,
-0.024182260036468506,
-0.04109210520982742,
0.016111653298139572,
0.01434528362005949,
-0.017855849117040634,
0.06497874110937119,
0.055045682936906815,
-0.05259197950363159,
0.003730438882485032,
0.04857145994901657,
0.04384143278002739,
0.00434201629832387,
0.04333886876702309,
0.010243463329970837,
0.022748470306396484,
-0.0029433327727019787,
0.046590760350227356,
-0.030419982969760895,
0.05002002790570259,
-0.025616049766540527,
0.02087124064564705,
-0.01359882578253746,
0.092708520591259,
0.049694839864969254,
-0.06551086902618408,
0.028779255226254463,
-0.016628999263048172,
0.006577692925930023,
0.00018707623530644923,
-0.002337298123165965,
0.030892984941601753,
0.03698289394378662,
0.026606397703289986,
-0.001453189761377871,
-0.0278184674680233,
-0.02257109433412552,
0.009489615447819233,
0.016983751207590103,
0.005273240152746439,
0.010923405177891254,
0.03308062255382538,
-0.004626557230949402,
0.013362324796617031,
-0.036657705903053284,
0.002854644786566496,
0.019703516736626625,
0.0035512151662260294,
0.01834363304078579,
0.0036343601532280445,
0.0008901133551262319,
0.061017341911792755,
-0.019747860729694366,
0.040678225457668304,
0.009253114461898804,
-0.009918274357914925,
0.040678225457668304,
-0.025320421904325485,
0.04694551229476929,
0.0788140669465065,
-0.055193495005369186,
0.03698289394378662,
0.007383275777101517,
0.030331294983625412,
-0.010250854305922985,
-0.012379365973174572,
0.006544434931129217,
0.0022670868784189224,
-0.03976178541779518,
0.06527436524629593,
-0.002980286255478859,
0.004038999322801828,
-0.013517528772354126,
0.016259465366601944,
-0.03482481837272644,
0.04097385331988335,
-0.01591949537396431,
0.035475198179483414,
0.01586036942899227,
0.008617516607046127,
-0.023930978029966354,
0.0018513619434088469,
-0.03565257415175438,
-0.05155728757381439,
0.000040850751247489825,
-0.023265818133950233,
-0.032991934567689896,
0.02560126781463623,
-0.004386360291391611,
0.03130686283111572,
0.04975396394729614,
0.033671874552965164,
0.013443621806800365,
-0.00300615350715816,
-0.026754211634397507,
-0.0034274214413017035,
0.0061194715090096,
-0.009208770468831062,
0.09004788100719452,
0.016628999263048172,
0.026310771703720093,
-0.03095211088657379,
-0.057469822466373444,
0.018151476979255676,
-0.03186855465173721,
0.006307933479547501,
-0.012194599024951458,
0.06704812496900558,
-0.03331712260842323,
-0.001267499290406704,
-0.006747678387910128,
-0.030094793066382408,
-0.03671682998538017,
0.00436418829485774,
-0.052059851586818695,
-0.0432797409594059,
-0.012497616931796074,
-0.014670472592115402,
-0.04257023707032204,
0.02663596160709858,
-0.05542999878525734,
-0.0024001188576221466,
0.055962126702070236,
0.07225115597248077,
-0.024684825912117958,
0.021817246451973915,
-0.009363974444568157,
0.008942706510424614,
0.022275468334555626,
0.022955410182476044,
-0.006581388413906097,
0.0058829705230891705,
-0.004349407274276018,
0.02106339856982231,
-0.0035733871627599,
0.043811868876218796,
-0.0049406602047383785,
0.024403980001807213,
-0.021255556493997574,
0.03408575430512428,
-0.041032977402210236,
-0.027315903455018997,
0.01627424731850624,
0.021418150514364243,
0.05888883024454117,
-0.0008979659760370851,
-0.014249204657971859,
0.011174687184393406,
-0.0036251218989491463,
0.01952614076435566,
0.042777176946401596,
0.01071646623313427,
0.017441973090171814,
0.02951832115650177,
0.03151380270719528,
-0.011211641132831573,
0.016495967283844948,
-0.015490836463868618,
0.012556741945445538,
0.025305641815066338,
0.007135688327252865,
0.014744379557669163,
0.01596383936703205,
0.03544563427567482,
-0.012667601928114891,
0.02458135597407818,
-0.022038966417312622,
0.04514218866825104,
0.03718983381986618,
0.008876190520823002,
-0.04682726040482521,
0.006888100877404213,
0.021565964445471764,
0.03154336288571358,
-0.022112874314188957,
-0.06870363652706146,
0.003876404371112585,
0.013894452713429928,
0.004434399772435427,
0.013591434806585312,
0.011440751142799854,
0.041653793305158615,
0.00468937773257494,
0.002773347543552518,
0.007520002778619528,
-0.008558391593396664,
-0.08336671441793442,
-0.00883184652775526,
-0.017146345227956772,
0.008462312631309032,
-0.023221474140882492,
-0.008129732683300972,
0.014374845661222935,
-0.026000363752245903,
0.09613778442144394,
-0.027729779481887817,
-0.05271023139357567,
-0.015076959505677223,
-0.0066479044035077095,
0.027981063351035118,
-0.0047448077239096165,
0.00406856182962656,
-0.0329623706638813,
0.019925236701965332,
-0.032844122499227524,
0.02147727645933628,
-0.01679159328341484,
-0.03816540166735649,
0.004578517749905586,
-0.019496576860547066,
-0.010502136312425137,
-0.004637643229216337,
0.0009875778341665864,
-0.01519520953297615,
-0.006884405855089426,
0.0032574362121522427,
-0.00937875546514988,
0.03757414594292641,
-0.01458178460597992,
-0.002509131096303463,
-0.031129486858844757,
0.0453491285443306,
-0.01331798080354929,
-0.006200768984854221,
-0.003113318234682083,
0.010701685212552547,
-0.03671682998538017,
0.030686046928167343,
-0.02827668935060501,
0.007819324731826782,
-0.04614732041954994,
0.03775152191519737,
0.0808834508061409,
-0.0036657704040408134,
-0.002608905080705881,
-0.04085560142993927,
-0.040264349430799484,
-0.015623868443071842,
0.021152086555957794,
-0.042836301028728485,
-0.017235033214092255,
0.07343365997076035,
0.01921573281288147,
-0.04236329719424248,
0.018683604896068573,
-0.06468310952186584,
-0.04670901224017143,
0.045615192502737045,
0.02286672219634056,
0.008551000617444515,
-0.02761152945458889,
0.005967963021248579,
0.006695943418890238,
0.022600658237934113,
0.03875665366649628,
0.0334944985806942,
-0.001152943936176598,
-0.04662032425403595,
-0.005014567170292139,
0.01393140573054552,
-0.047625452280044556,
0.026768993586301804,
0.00994783639907837,
-0.015372585505247116,
-0.02458135597407818,
0.0077971527352929115,
-0.02978438511490822,
-0.029074881225824356,
-0.0075089167803525925,
0.01028041634708643,
0.021625090390443802,
0.04502394050359726,
-0.047152452170848846,
-0.04215636104345322,
-0.06769850105047226,
0.0260151457041502,
-0.054010987281799316,
0.03766283392906189,
0.02199462242424488,
-0.008410578593611717,
-0.027064619585871696,
-0.025483017787337303,
0.031454674899578094,
0.02112252451479435,
0.02617773972451687,
-0.04357536882162094,
0.02792193740606308,
0.007076562847942114,
-0.001205602427944541,
0.015402148477733135,
-0.02193549834191799,
0.012992790900170803,
0.0556369349360466,
0.0417424812912941,
0.010236072354018688,
-0.035829950124025345,
0.018299289047718048,
-0.025335203856229782,
0.005158685147762299,
-0.0038985763676464558,
0.0030486497562378645,
0.004390055779367685,
0.007568042259663343,
-0.04768458008766174,
0.014855239540338516,
-0.041299041360616684,
-0.01192853506654501,
-0.049074023962020874,
-0.02669508568942547,
-0.043043240904808044,
-0.012327631004154682,
-0.004962832201272249,
0.0689992606639862,
0.013384496793150902,
0.01465569157153368,
0.005531913600862026,
0.008174076676368713,
0.03488394618034363,
0.013975749723613262,
0.012231552973389626,
-0.02848362736403942,
-0.00033165616332553327,
-0.010627778246998787,
-0.0033405811991542578,
0.0062081594951450825,
0.004766979720443487,
-0.041594669222831726,
0.010502136312425137,
-0.03979134559631348,
0.0020952539052814245,
0.0119802700355649,
0.011300329118967056,
-0.052059851586818695,
-0.0004092581511940807,
0.0015187818789854646,
0.002551627578213811,
-0.034292690455913544,
0.02570473775267601,
-0.027182869613170624,
0.07077302038669586,
0.03225286677479744,
-0.05744025856256485,
-0.01668812520802021,
-0.04132860526442528,
0.03875665366649628,
0.02097471058368683,
-0.057203758507966995,
-0.029444415122270584,
-0.040264349430799484,
0.01797410100698471,
-0.024965669959783554,
-0.01704287715256214,
0.03642120212316513,
0.028306251391768456,
0.027596747502684593,
0.004157249815762043,
0.018461884930729866,
0.026768993586301804,
-0.027552403509616852,
-0.021314682438969612,
0.010443011298775673,
-0.00004783724216395058,
0.005487569607794285,
0.009371364489197731,
-0.0012185360537841916,
-0.014182688668370247,
0.025586485862731934,
-0.01200244203209877,
0.02761152945458889,
-0.022999754175543785,
-0.0030671264976263046,
0.01302974484860897,
0.014559612609446049,
-0.04177204519510269,
0.02189115434885025,
-0.017220253124833107,
-0.027892375364899635,
-0.00028523351647891104,
0.01736806519329548,
-0.011603346094489098,
-0.026724649593234062,
0.021979842334985733,
-0.036598578095436096,
0.049783527851104736,
0.03275543451309204,
-0.0213738065212965,
0.0002882359840441495,
0.01484045758843422,
-0.016717687249183655,
-0.025335203856229782,
0.028365377336740494,
-0.0468863882124424,
-0.005435835104435682,
-0.019023574888706207,
-0.031957242637872696,
-0.021817246451973915,
0.01200244203209877,
-0.0038911858573555946,
0.0005806292174383998,
-0.0058238450437784195,
0.021876372396945953,
-0.01705765724182129,
-0.028188001364469528,
0.028409721329808235,
-0.022645002231001854,
0.011352063156664371,
-0.03509088233113289,
0.002995067508891225,
0.024123134091496468,
-0.018328852951526642,
0.01716112717986107,
-0.008284936659038067,
-0.03769239783287048,
-0.010864279232919216,
0.04493525251746178,
-0.002270782133564353,
0.04011653736233711,
0.026961149647831917,
-0.038608841598033905,
0.031454674899578094,
0.02647336572408676,
-0.015904713422060013,
0.0008037349325604737,
0.0036860948894172907,
0.0054764836095273495,
0.01421964168548584,
0.021211212500929832,
-0.004194203298538923,
-0.0028472542762756348,
0.005827540531754494,
0.018727948889136314,
0.021196430549025536,
0.015993401408195496,
-0.012889321893453598,
-0.03648032993078232,
0.02616295777261257,
0.04910358786582947,
-0.018062788993120193,
0.02657683566212654,
0.019186168909072876,
-0.01565343141555786,
0.013510137796401978,
-0.03893402963876724,
-0.04632469639182091,
-0.011662471108138561,
-0.03786977380514145,
0.03931834548711777,
-0.07225115597248077,
-0.039081841707229614,
-0.05897751823067665,
-0.03169117867946625,
-0.03772196173667908,
0.017914975062012672,
0.00878011155873537,
-0.038963593542575836,
-0.03512044623494148,
-0.037426333874464035,
-0.0311590489000082,
0.013975749723613262,
-0.022541532292962074,
-0.034174442291259766,
-0.01782628707587719,
-0.09442315250635147,
0.01602296531200409,
-0.052207667380571365,
-0.04620644450187683,
0.010228682309389114,
-0.003972483333200216,
0.03713070601224899,
-0.0037988023832440376,
0.015668213367462158,
-0.011847238056361675,
-0.029074881225824356,
0.04369362071156502,
0.0009524720953777432,
0.045319564640522,
0.011322501115500927,
0.03993916139006615,
-0.043457116931676865,
0.009393536485731602,
0.01797410100698471,
-0.02178768441081047,
0.023709258064627647,
-0.02323625423014164,
0.059480082243680954,
-0.043811868876218796,
-0.030538232997059822,
0.014330501668155193,
0.020826896652579308,
0.0437823086977005,
-0.03949572145938873,
-0.03872708976268768,
-0.04153554514050484,
-0.033612750470638275,
-0.031957242637872696,
-0.012852368876338005,
0.005424749106168747,
-0.03018348105251789,
-0.014027484692633152,
-0.024182260036468506,
-0.027744561433792114,
-0.08715073764324188,
0.004530478268861771,
0.03441094234585762,
0.034440506249666214,
0.012608476914465427,
0.007490440271794796,
0.029459195211529732,
0.022984972223639488,
0.0064261844381690025,
0.0029488757718354464,
0.014049656689167023,
0.0025719518307596445,
0.010221291333436966,
-0.015476055443286896,
-0.044225748628377914,
-0.007834106683731079,
0.014389627613127232,
0.04425530880689621,
-0.018121913075447083,
0.03266674652695656,
0.022171998396515846,
0.0032722174655646086,
0.010546480305492878,
0.01519520953297615,
-0.0169985331594944,
0.032696306705474854,
0.014330501668155193,
0.024226604029536247,
-0.022334594279527664,
-0.018107132986187935,
0.027434153482317924,
-0.05732200667262077,
-0.012172427028417587,
0.049783527851104736,
-0.013458402827382088,
-0.023088442161679268,
0.000076389464084059,
-0.011270766146481037,
-0.05758807063102722,
-0.028971411287784576,
-0.0850222259759903,
-0.022733690217137337,
-0.0193192008882761,
-0.032223306596279144,
-0.01730894111096859,
-0.034854382276535034,
-0.06119471788406372,
-0.0013811307726427913,
0.02437441796064377,
-0.008661860600113869,
0.03151380270719528,
-0.048807960003614426,
0.00782671570777893,
-0.03003566712141037,
0.004752198234200478,
0.06935401260852814,
0.024344854056835175,
-0.031129486858844757,
-0.04035303741693497,
-0.014411799609661102,
0.0345291942358017,
-0.016702905297279358,
0.03857927769422531,
0.015343023464083672,
0.031957242637872696,
0.01228328701108694,
0.022645002231001854,
0.0142935486510396,
0.03789933770895004,
-0.020649520680308342,
0.01591949537396431,
0.00329808471724391,
-0.055962126702070236,
-0.012778461910784245,
0.029340945184230804,
0.027212433516979218,
0.06480136513710022,
-0.014921755529940128,
-0.010443011298775673,
-0.017131565138697624,
0.013251464813947678,
-0.030774734914302826,
-0.014397017657756805,
0.013946187682449818,
-0.057055942714214325,
-0.06468310952186584,
-0.058297574520111084,
-0.03101123496890068,
0.004866753704845905,
-0.007649339735507965,
-0.04605863243341446,
0.00716155581176281,
-0.030686046928167343,
0.019496576860547066,
0.0056279925629496574,
0.06468310952186584,
0.027788905426859856,
-0.008077998645603657,
-0.047625452280044556,
-0.003135490231215954,
-0.026768993586301804,
-0.016289029270410538,
-0.030168699100613594,
-0.008839236572384834,
0.0007820248720236123,
0.015313460491597652,
0.006304238457232714,
0.08313021063804626,
-0.03789933770895004,
-0.023679694160819054,
0.022009404376149178,
0.02616295777261257,
-0.040471289306879044,
0.03426313027739525,
-0.007871059700846672,
0.052207667380571365,
0.01007347833365202,
0.009275286458432674,
0.005927314516156912,
0.0008157448028214276,
-0.06828975677490234,
0.02740459144115448,
-0.01936354488134384,
0.06219984591007233,
-0.03934790566563606,
-0.02839493937790394,
0.028498409315943718,
0.06355973333120346,
-0.06468310952186584,
-0.006200768984854221,
-0.027123745530843735,
0.0339970663189888,
0.010162166319787502,
-0.051232099533081055,
-0.016555093228816986,
0.030538232997059822,
-0.009223551489412785,
0.002355774864554405,
-0.01577168144285679,
-0.018062788993120193,
-0.024906545877456665,
0.02029476873576641,
0.0032703697215765715,
0.020782552659511566,
-0.005354537628591061,
-0.053656235337257385,
-0.04292498901486397,
0.030006105080246925,
-0.03905228152871132,
0.015343023464083672,
-0.02205374836921692,
0.0041757263243198395,
-0.0020527576562017202,
-0.011566393077373505,
-0.038254089653491974,
0.03302149847149849,
0.005354537628591061,
-0.05043390765786171,
0.0473889522254467,
-0.014943927526473999,
-0.0311590489000082,
0.025113483890891075,
-0.03834277763962746,
-0.03544563427567482,
-0.024610918015241623,
-0.014382236637175083,
0.003423726186156273,
0.011832457035779953,
-0.03302149847149849,
-0.02427094802260399,
0.020413020625710487,
0.051379911601543427,
-0.004404837265610695,
-0.001279509044252336,
-0.03627339005470276,
0.037426333874464035,
-0.034233566373586655,
0.022541532292962074,
-0.012549350969493389,
0.016673343256115913,
-0.008462312631309032,
-0.06994526833295822,
0.021979842334985733,
0.020324332639575005,
-0.014781332574784756,
0.004016827326267958,
0.0032057014759629965,
-0.018092351034283638,
0.021979842334985733,
0.01946701481938362,
-0.024537011981010437,
-0.02678377367556095,
-0.03597776219248772,
0.043604932725429535,
0.005690813064575195,
-0.020102612674236298,
0.012490225955843925,
0.03509088233113289,
0.03163205087184906,
-0.0072169858030974865,
-0.04800976812839508,
0.017013313248753548,
0.00032403451041318476,
-0.016466405242681503,
0.012527178972959518,
0.053922299295663834,
0.03435181826353073,
0.028040187433362007,
-0.05273979529738426,
0.016259465366601944,
0.03497263416647911,
0.016451623290777206,
0.039998285472393036,
0.02302931621670723,
-0.002534998580813408,
0.0010984378168359399,
0.0022338288836181164,
-0.006707029417157173,
-0.00015358728705905378,
0.017013313248753548,
-0.00403160834684968,
0.022837158292531967,
-0.021314682438969612,
0.03080429695546627,
0.03216417878866196,
0.019555702805519104,
0.013746639713644981,
0.02462569996714592,
-0.010893842205405235,
0.022290250286459923,
0.006603560410439968,
0.025202171877026558,
-0.007568042259663343,
-0.017294159159064293,
-0.03101123496890068,
0.023413630202412605,
0.030419982969760895,
0.002658792305737734,
0.0027290035504847765,
0.014640909619629383,
0.07591692358255386,
0.024847419932484627,
-0.04641338437795639,
0.04053041338920593,
0.006326410453766584,
0.00909051951020956,
-0.002808453282341361,
0.051232099533081055,
0.025276077911257744,
0.05265110731124878,
-0.013155385851860046,
-0.024699606001377106,
-0.02435963600873947,
0.02435963600873947,
-0.07964181900024414,
-0.0016194797353819013,
-0.008196248672902584,
-0.003418183187022805,
-0.005483874585479498,
-0.05791326239705086,
0.00776759022846818,
-0.0344996303319931,
0.005055215675383806,
0.0285870973020792,
-0.0365690179169178,
-0.05161641165614128,
0.04466918855905533,
-0.009216160513460636,
0.027892375364899635,
0.04662032425403595,
0.032637182623147964,
-0.002686507301405072,
0.0525328554213047,
0.03757414594292641,
-0.016318591311573982,
-0.01627424731850624,
-0.0018698385683819652,
-0.007035914342850447,
0.0037710873875766993,
0.020220862701535225,
-0.01937832683324814,
0.019999142736196518,
-0.01553518045693636,
0.026931587606668472,
-0.014094000682234764,
0.008787502534687519,
-0.012837586924433708,
-0.010487355291843414,
0.03609601408243179,
0.017648911103606224,
-0.03887490555644035,
0.030686046928167343,
0.036036890000104904,
0.020782552659511566,
0.006311628967523575,
-0.02487698197364807,
-0.015993401408195496,
-0.003942920360714197,
-0.018092351034283638,
-0.061372093856334686,
0.013458402827382088,
-0.019644390791654587,
-0.013125822879374027,
-0.006341191474348307,
0.001000511460006237,
-0.01792975701391697,
0.00441592326387763,
-0.037426333874464035,
-0.004996090196073055,
0.00551343709230423,
0.03408575430512428,
0.05377448722720146,
0.011004702188074589,
-0.049428775906562805,
-0.019718296825885773,
0.01906791888177395,
0.08987050503492355,
-0.006507481448352337,
0.043664056807756424,
0.002468482591211796,
-0.014493096619844437,
-0.009578303433954716,
-0.005158685147762299,
0.035031758248806,
-0.0695313885807991,
0.06397360563278198,
-0.01575690135359764,
0.00182272307574749,
-0.01756022311747074,
-0.021920716390013695,
0.01460395660251379,
0.00899444054812193,
0.01496609952300787,
-0.003250045469030738,
0.0014476467622444034,
0.0422450490295887,
-0.037219393998384476,
0.025379547849297523,
-0.03095211088657379,
0.00903878454118967,
0.008750548586249352,
-0.008225811645388603,
-0.04038260132074356,
-0.051379911601543427,
0.25896894931793213,
0.10033568739891052,
0.07349278777837753,
0.05132078751921654,
0.024817857891321182,
-0.003760001389309764,
-0.002403814112767577,
-0.011610737070441246,
-0.008691423572599888,
-0.010598215274512768,
-0.001881848438642919,
-0.030922546982765198,
-0.016259465366601944,
-0.008196248672902584,
0.002065691165626049,
0.043457116931676865,
-0.008661860600113869,
0.014249204657971859,
0.013155385851860046,
-0.07999657094478607,
-0.04916271194815636,
-0.01396096870303154,
-0.00780454371124506,
-0.010443011298775673,
-0.016717687249183655,
0.01560908742249012,
0.017796725034713745,
0.019659172743558884,
-0.03461788222193718,
0.00034574460005387664,
-0.03121817484498024,
-0.02968091517686844,
0.027005493640899658,
0.004371579270809889,
-0.006788326893001795,
0.000037646204873453826,
-0.03580038622021675,
-0.006319019477814436,
-0.021462494507431984,
-0.04768458008766174,
0.005616906564682722,
-0.039850473403930664,
0.04827583208680153,
-0.0019954799208790064,
-0.04934008792042732,
0.06095821410417557,
-0.02746371552348137,
0.054986558854579926,
0.018314070999622345,
-0.02839493937790394,
0.04987221583724022,
-0.036036890000104904,
0.0009857300901785493,
0.008617516607046127,
-0.07148252427577972,
0.006529653444886208,
-0.005676031578332186,
-0.005960572510957718,
-0.0169985331594944,
0.007035914342850447,
0.04449181258678436,
-0.02848362736403942,
-0.017693255096673965,
0.010805154219269753,
-0.004087038338184357,
0.053863175213336945,
-0.004242242313921452,
0.035829950124025345,
-0.012128083035349846,
0.017944537103176117,
-0.02642902173101902,
-0.018920104950666428,
-0.008233202621340752,
0.04076691344380379,
0.022024186328053474,
-0.013103650882840157,
0.005506046582013369,
-0.00023696324205957353,
-0.02348753809928894,
0.0041387733072042465,
0.009859148412942886,
0.008240592665970325,
-0.015165647491812706,
0.01496609952300787,
0.03523869812488556,
0.029754823073744774,
-0.0066146464087069035,
-0.00994783639907837,
0.001917877933010459,
0.005875579547137022,
0.045319564640522,
0.05652381479740143,
0.008107560686767101,
-0.03834277763962746,
-0.04177204519510269
] |
1206_20 | Orbital energy
In atoms with a single electron (hydrogen-like atoms), the energy of an orbital (and, consequently, of any electrons in the orbital) is determined mainly by . The orbital has the lowest possible energy in the atom. Each successively higher value of has a higher level of energy, but the difference decreases as increases. For high , the level of energy becomes so high that the electron can easily escape from the atom. In single electron atoms, all levels with different within a given are degenerate in the Schrödinger approximation, and have the same energy. This approximation is broken to a slight extent in the solution to the Dirac equation (where the energy depends on and another quantum number ), and by the effect of the magnetic field of the nucleus and quantum electrodynamics effects. The latter induce tiny binding energy differences especially for s electrons that go nearer the nucleus, since these feel a very slightly different nuclear charge, even in one-electron atoms; see Lamb shift.
In atoms with multiple electrons, the energy of an electron depends not only on the intrinsic properties of its orbital, but also on its interactions with the other electrons. These interactions depend on the detail of its spatial probability distribution, and so the energy levels of orbitals depend not only on but also on . Higher values of are associated with higher values of energy; for instance, the 2p state is higher than the 2s state. When , the increase in energy of the orbital becomes so large as to push the energy of orbital above the energy of the s-orbital in the next higher shell; when the energy is pushed into the shell two steps higher. The filling of the 3d orbitals does not occur until the 4s orbitals have been filled.
The increase in energy for subshells of increasing angular momentum in larger atoms is due to electron–electron interaction effects, and it is specifically related to the ability of low angular momentum electrons to penetrate more effectively toward the nucleus, where they are subject to less screening from the charge of intervening electrons. Thus, in atoms of higher atomic number, the of electrons becomes more and more of a determining factor in their energy, and the principal quantum numbers of electrons becomes less and less important in their energy placement. | [
-0.029569396749138832,
0.026505138725042343,
0.06218893453478813,
-0.0136832594871521,
-0.022904280573129654,
0.01004709955304861,
-0.004748189821839333,
-0.03753364831209183,
-0.050044864416122437,
0.048915181308984756,
0.05645580217242241,
0.017086423933506012,
-0.000859175284858793,
-0.06185002997517586,
-0.031659308820962906,
-0.01397274062037468,
0.00041568727465346456,
0.01654982566833496,
-0.028270265087485313,
-0.008522029966115952,
-0.01729823835194111,
-0.0004681997816078365,
-0.05286906659603119,
-0.00888917688280344,
-0.020856734365224838,
0.00018522795289754868,
0.01775011047720909,
0.009157476015388966,
0.04496129974722862,
0.04592152684926987,
0.011685136705636978,
-0.005719009321182966,
0.011346232146024704,
-0.01962820626795292,
-0.006153230555355549,
-0.02666046842932701,
-0.014728214591741562,
-0.01772186905145645,
0.021125033497810364,
-0.04205236956477165,
0.04289963096380234,
-0.03338206931948662,
0.0012223500525578856,
0.015038876794278622,
-0.03188524395227432,
-0.005969657562673092,
0.0016530408756807446,
-0.028256142511963844,
-0.008867994882166386,
-0.044227007776498795,
-0.016366252675652504,
-0.0036608721129596233,
0.03566967323422432,
0.01892215572297573,
0.029484670609235764,
-0.03914344310760498,
0.015533111989498138,
-0.0008949190960265696,
-0.020983822643756866,
0.03036017343401909,
-0.010696666315197945,
-0.024655286222696304,
0.008776208385825157,
0.02786075510084629,
-0.021548662334680557,
0.04205236956477165,
-0.02372329868376255,
0.05764196813106537,
-0.016832245513796806,
-0.021718114614486694,
0.004794083070009947,
-0.00414804695174098,
-0.014968272298574448,
0.016874607652425766,
-0.05179587006568909,
-0.008437303826212883,
-0.011713379062712193,
-0.014036284759640694,
-0.03804200515151024,
0.013238447718322277,
-0.01664867252111435,
-0.011430958285927773,
-0.01543426513671875,
0.03081204555928707,
0.01188989169895649,
0.00030735263135284185,
-0.03917168453335762,
0.022367682307958603,
0.0038550361059606075,
-0.025050673633813858,
0.0019010411342605948,
0.050779156386852264,
-0.02006595768034458,
0.00861381646245718,
0.0231867004185915,
0.03795727714896202,
0.0039044595323503017,
0.028750378638505936,
-0.0023723298218101263,
0.034172847867012024,
0.0023864510003477335,
0.09076985716819763,
0.01664867252111435,
0.06348806619644165,
-0.053716327995061874,
0.06405290961265564,
0.017100544646382332,
0.051343996077775955,
0.02437286451458931,
-0.05165465921163559,
0.020644918084144592,
-0.004112744703888893,
0.003281370038166642,
0.004991777241230011,
-0.026872284710407257,
0.046006254851818085,
0.03807024657726288,
0.009305746294558048,
-0.008331396616995335,
-0.005514254793524742,
-0.017086423933506012,
0.009270443581044674,
0.029428187757730484,
0.014170434325933456,
-0.014452855102717876,
0.029541155323386192,
-0.031235676258802414,
0.00010701079008867964,
-0.007540619932115078,
-0.01958584226667881,
0.02606738731265068,
0.021252121776342392,
0.0007435595034621656,
0.01904924400150776,
-0.042956117540597916,
0.06597336381673813,
0.022155866026878357,
0.04227830842137337,
-0.011247385293245316,
0.01428340282291174,
0.04106390103697777,
-0.029767092317342758,
0.029993027448654175,
0.05295379087328911,
-0.03759013116359711,
0.03863508626818657,
0.023017248138785362,
0.040724996477365494,
0.004384574014693499,
0.007328804582357407,
-0.02553078904747963,
-0.009461077861487865,
0.01722763292491436,
0.013789167627692223,
-0.016479220241308212,
-0.02190168760716915,
-0.02783251367509365,
0.029880059882998466,
-0.04801143705844879,
-0.021266242489218712,
0.016408614814281464,
-0.03363624960184097,
0.013888014480471611,
0.01595674268901348,
0.022282956168055534,
-0.0030571988318115473,
-0.07546268403530121,
-0.0558062344789505,
-0.01841379888355732,
0.006573330610990524,
-0.010223612189292908,
0.033438555896282196,
-0.014544641599059105,
0.04798319563269615,
-0.010922602377831936,
0.015857895836234093,
0.031122708693146706,
-0.04199588671326637,
-0.037081774324178696,
-0.023356152698397636,
-0.042419519275426865,
-0.015589596703648567,
0.04496129974722862,
0.035217802971601486,
0.0523042269051075,
-0.007787737529724836,
-0.014629367738962173,
0.038776297122240067,
-0.020461345091462135,
-0.0248671006411314,
0.031292159110307693,
0.020899096503853798,
-0.01273009181022644,
0.032308872789144516,
-0.005764903035014868,
-0.019359907135367393,
-0.05992957204580307,
0.04335150495171547,
-0.02728179283440113,
-0.017495932057499886,
0.04114862531423569,
-0.03321261703968048,
-0.032308872789144516,
0.02195817232131958,
-0.04459415376186371,
-0.03202645480632782,
0.048999909311532974,
0.05317972972989082,
0.0017307064263150096,
0.004843506962060928,
-0.0018922154558822513,
0.023511484265327454,
0.003851505694910884,
0.003396103158593178,
0.014940029941499233,
0.00415157712996006,
-0.01895039714872837,
0.043690409511327744,
-0.004790552891790867,
0.025149520486593246,
-0.012885422445833683,
-0.0057613723911345005,
0.008550272323191166,
0.054365891963243484,
-0.0020387209951877594,
-0.010908480733633041,
-0.0026212127413600683,
0.019797658547759056,
0.05812208354473114,
0.013937437906861305,
-0.005666055716574192,
0.024033961817622185,
0.012532397173345089,
0.012334703467786312,
0.010435427539050579,
0.019458753988146782,
0.02622271701693535,
0.014841183088719845,
0.009044507518410683,
-0.039425864815711975,
-0.0016450978582724929,
0.04843506962060928,
0.028820984065532684,
0.021040307357907295,
0.026505138725042343,
0.019246937707066536,
-0.014382249675691128,
0.06427884101867676,
-0.0033449144102633,
0.040668513625860214,
-0.01729823835194111,
0.029936544597148895,
0.05538260564208031,
0.01791956275701523,
-0.03581088408827782,
-0.022169986739754677,
0.023426758125424385,
0.0019310482311993837,
-0.008253730833530426,
-0.04798319563269615,
-0.0027624228969216347,
-0.0032495977357029915,
0.03389042615890503,
0.0020034185145050287,
0.06862811744213104,
0.038211457431316376,
0.0085926353931427,
-0.0015083005419000983,
0.04456591233611107,
-0.028213780373334885,
-0.029795333743095398,
0.0020563723519444466,
-0.017510054633021355,
-0.014714093878865242,
-0.008571453392505646,
0.0212944857776165,
0.029569396749138832,
-0.05106157809495926,
0.06715952605009079,
-0.032930199056863785,
-0.0015639020130038261,
0.04106390103697777,
-0.03363624960184097,
0.02202877774834633,
-0.016761640086770058,
0.05515667051076889,
-0.040018945932388306,
0.03084028884768486,
-0.05987308919429779,
-0.012532397173345089,
-0.025191884487867355,
-0.04154401645064354,
0.03987773507833481,
-0.06247135251760483,
-0.013203145004808903,
-0.01654982566833496,
0.04436821863055229,
-0.00715229194611311,
0.0011799869826063514,
-0.034822411835193634,
0.0020087137818336487,
0.032986681908369064,
-0.019119849428534508,
0.013245508074760437,
-0.024542316794395447,
0.04575207456946373,
0.012560639530420303,
0.007335865404456854,
-0.02143569476902485,
-0.0019345785258337855,
-0.06574742496013641,
0.013330234214663506,
-0.0048646884970366955,
0.03742067888379097,
0.004405755549669266,
0.02553078904747963,
0.023271426558494568,
-0.012186432257294655,
0.026081508025527,
-0.035274285823106766,
0.014530520886182785,
0.02554490976035595,
-0.028284385800361633,
-0.04688175767660141,
0.004419876728206873,
0.032365359365940094,
-0.016140315681695938,
-0.02725355140864849,
-0.01893627643585205,
-0.025615515187382698,
-0.010506032034754753,
0.003138394793495536,
0.06930592656135559,
0.04490481689572334,
-0.05148520693182945,
0.007893645204603672,
-0.005125927273184061,
0.013866833411157131,
0.04013191536068916,
-0.006470953579992056,
0.04578031972050667,
-0.06241486966609955,
-0.0034755337983369827,
0.000809751742053777,
0.0013309053611010313,
0.007258199620991945,
0.01130386907607317,
0.01967056840658188,
-0.03095325641334057,
-0.016874607652425766,
0.008691482245922089,
0.004310438875108957,
0.007470014970749617,
-0.005641344003379345,
0.007921887561678886,
0.0009187482646666467,
-0.0030201312620192766,
-0.03278898820281029,
-0.062075965106487274,
0.0070887478068470955,
-0.022311197593808174,
0.052021805197000504,
-0.004518723580986261,
0.004557556472718716,
-0.057952631264925,
-0.007688890676945448,
0.04236303269863129,
-0.019105728715658188,
0.04332326352596283,
-0.021619267761707306,
0.0308685302734375,
0.0021622797939926386,
0.002728885505348444,
0.023271426558494568,
0.0035832065623253584,
0.03386218473315239,
0.057896144688129425,
0.025290731340646744,
-0.014982393011450768,
-0.033466797322034836,
0.005337742157280445,
-0.016338009387254715,
0.015688443556427956,
-0.017566537484526634,
-0.005711948964744806,
0.05069442838430405,
0.0095387427136302,
0.0019875322468578815,
-0.01097202580422163,
-0.04168522357940674,
-0.017411205917596817,
-0.04148752987384796,
-0.009263383224606514,
-0.053038518875837326,
-0.015391902066767216,
-0.010619000531733036,
0.04690999910235405,
-0.021675752475857735,
0.01656394638121128,
0.00002887636401283089,
0.048999909311532974,
0.05829153582453728,
0.009242202155292034,
0.00318428804166615,
-0.03756188973784447,
-0.005005898419767618,
0.006626284681260586,
0.02020716667175293,
-0.004176288843154907,
0.022861916571855545,
-0.05227598175406456,
0.025248367339372635,
-0.0015391901833936572,
-0.03084028884768486,
0.008832692168653011,
-0.0055460273288190365,
-0.03869156911969185,
0.01787720061838627,
-0.021096790209412575,
0.02917400933802128,
-0.011423897929489613,
0.026293322443962097,
-0.010887299664318562,
0.03383394330739975,
0.031150950118899345,
-0.031772274523973465,
-0.021576905623078346,
-0.0403013676404953,
0.030699077993631363,
0.011565107852220535,
-0.017058180645108223,
-0.034822411835193634,
-0.07354222983121872,
0.04642988368868828,
-0.013789167627692223,
-0.03163106366991997,
0.03199820965528488,
0.019755294546484947,
0.0017068772576749325,
-0.033438555896282196,
-0.009256322868168354,
-0.01772186905145645,
-0.012348824180662632,
0.019811779260635376,
0.032393600791692734,
0.011875770054757595,
0.027719544246792793,
-0.005358923692256212,
-0.002937170211225748,
-0.010160067118704319,
-0.01011770498007536,
-0.029823575168848038,
0.06828921288251877,
-0.01783483661711216,
0.0427301786839962,
0.059138793498277664,
-0.0024711769074201584,
-0.041769951581954956,
0.010470730252563953,
0.024641163647174835,
-0.035274285823106766,
-0.038296181708574295,
0.00922102015465498,
-0.04225006699562073,
0.024146929383277893,
0.030642595142126083,
-0.03970828279852867,
0.0655214935541153,
0.002651219954714179,
0.0030254267621785402,
0.030642595142126083,
0.01848440431058407,
-0.04555438086390495,
-0.007674769498407841,
0.028905710205435753,
-0.02906104177236557,
-0.023398514837026596,
-0.025954417884349823,
-0.0026070917956531048,
-0.015278934501111507,
-0.018526766449213028,
0.005302439909428358,
-0.01222173497080803,
-0.02081437036395073,
-0.01220761425793171,
-0.02959764003753662,
0.006382697261869907,
0.03434230014681816,
-0.03264777734875679,
0.03389042615890503,
-0.002552372869104147,
0.004472830332815647,
0.015010634437203407,
-0.0023617390543222427,
0.025163641199469566,
-0.006417999509721994,
-0.01306899543851614,
-0.0289763156324625,
0.008006613701581955,
-0.013160782866179943,
0.029541155323386192,
0.013690320774912834,
-0.05574975162744522,
0.004652873147279024,
0.020390739664435387,
-0.009927070699632168,
0.013556171208620071,
-0.002104030689224601,
0.015688443556427956,
0.01306193508207798,
-0.009877647273242474,
0.012320581823587418,
0.008013674058020115,
0.014135132543742657,
0.00796425063163042,
0.0403013676404953,
0.0649566501379013,
-0.04445294290781021,
-0.03391866758465767,
0.04498954117298126,
0.03629099950194359,
-0.044227007776498795,
0.032308872789144516,
0.06111573800444603,
-0.03287371248006821,
0.012864241376519203,
-0.005535436328500509,
-0.057331304997205734,
-0.004331620410084724,
-0.01599910482764244,
0.028750378638505936,
-0.03403163701295853,
-0.03581088408827782,
-0.047841984778642654,
-0.02908928319811821,
-0.043662168085575104,
0.05357511714100838,
0.028806863352656364,
0.002328201662749052,
-0.006509786006063223,
-0.012892482802271843,
0.015307175926864147,
0.008712664246559143,
-0.03606506437063217,
-0.0024499953724443913,
-0.05857395380735397,
-0.014544641599059105,
0.004525783937424421,
-0.030134238302707672,
-0.0005096802487969398,
0.004070381633937359,
-0.015843775123357773,
0.03332558646798134,
0.018653856590390205,
-0.022184109315276146,
0.026971131563186646,
-0.005510724615305662,
0.04990365356206894,
-0.04267369583249092,
0.0072723207995295525,
-0.025770844891667366,
0.032308872789144516,
-0.04521547630429268,
0.006626284681260586,
0.03688408061861992,
-0.055495575070381165,
0.003110152669250965,
0.02622271701693535,
0.000860499101690948,
-0.02072964422404766,
-0.04857627674937248,
-0.004638751968741417,
-0.010308338329195976,
0.0091998390853405,
-0.00318958330899477,
-0.053095001727342606,
-0.03792903572320938,
-0.02786075510084629,
-0.04993189498782158,
0.03502010926604271,
0.0357261598110199,
-0.02435874380171299,
-0.04191116243600845,
0.007787737529724836,
-0.03033193200826645,
-0.11099115014076233,
0.02077200822532177,
0.07405058294534683,
-0.0011711614206433296,
0.011056751944124699,
-0.006245017051696777,
0.02314433641731739,
-0.017947806045413017,
0.0023440879303961992,
-0.011070872657001019,
0.0014871190069243312,
0.023017248138785362,
-0.008995084092020988,
-0.023483240976929665,
-0.03860684484243393,
-0.050129588693380356,
0.04690999910235405,
0.05806559696793556,
0.005810796283185482,
0.07258199900388718,
0.008387880399823189,
-0.003978594671934843,
0.03722298517823219,
0.042984358966350555,
0.014615247026085854,
0.013450263068079948,
0.007180534303188324,
0.0030466080643236637,
-0.016719277948141098,
-0.008846813812851906,
0.02434462308883667,
-0.06331861764192581,
0.012101707048714161,
0.010901420377194881,
-0.023017248138785362,
0.023243185132741928,
0.02024953067302704,
0.00461757043376565,
-0.07659236341714859,
-0.01789132133126259,
-0.031037982553243637,
-0.028948072344064713,
-0.0236526932567358,
-0.04507426917552948,
-0.03561319038271904,
-0.01397980097681284,
-0.021209759637713432,
-0.009630529209971428,
-0.03677111491560936,
-0.0008057801751419902,
0.01729823835194111,
-0.025855571031570435,
0.019374027848243713,
-0.014982393011450768,
0.01773598976433277,
0.10483438521623611,
0.0030007148161530495,
-0.03552846238017082,
-0.04583680257201195,
0.004783492535352707,
0.010619000531733036,
-0.03213942050933838,
0.06506961584091187,
-0.00039340255898423493,
-0.0171852707862854,
-0.010265975259244442,
0.023864509537816048,
0.01068254467099905,
0.035274285823106766,
0.006848690565675497,
0.013309053145349026,
0.0011826347326859832,
-0.030670836567878723,
0.005182411056011915,
0.057839661836624146,
0.0006464775651693344,
0.024542316794395447,
-0.013782107271254063,
-0.03968004137277603,
-0.017072303220629692,
-0.005478952545672655,
-0.039510589092969894,
-0.014615247026085854,
0.014248100109398365,
-0.046373400837183,
-0.041882921010255814,
-0.05210652947425842,
-0.029315218329429626,
0.02442934922873974,
-0.007660648785531521,
-0.025940297171473503,
0.0036043880973011255,
-0.021209759637713432,
0.03400339558720589,
-0.0533774234354496,
0.008091339841485023,
0.042476002126932144,
0.03744892030954361,
-0.016507461667060852,
-0.01595674268901348,
-0.015052997507154942,
-0.01952935755252838,
-0.05563678592443466,
-0.02438698709011078,
-0.017566537484526634,
0.0289763156324625,
-0.03583912551403046,
-0.009468138217926025,
-0.07698775082826614,
-0.03394691273570061,
0.033043164759874344,
-0.015759048983454704,
-0.009277503937482834,
0.026279201731085777,
0.005390696227550507,
0.024754133075475693,
0.014474036172032356,
0.02185932546854019,
-0.027140583842992783,
-0.0020387209951877594,
-0.03928465396165848,
-0.016733398661017418,
-0.0088962372392416,
0.05532612279057503,
-0.0390869602560997,
0.017015818506479263,
0.0118263466283679,
0.056145139038562775,
-0.0571618527173996,
-0.03264777734875679,
-0.03742067888379097,
0.04157225787639618,
0.009376351721584797,
-0.03688408061861992,
-0.019458753988146782,
0.01458700466901064,
0.018893912434577942,
0.0011314459843561053,
0.012567699886858463,
-0.04450942575931549,
0.011438018642365932,
-0.02245240844786167,
0.017072303220629692,
-0.007060505449771881,
-0.0030395477078855038,
0.011791043914854527,
-0.02072964422404766,
0.008980963379144669,
-0.0024958886206150055,
-0.00018026353791356087,
-0.0242598969489336,
-0.027140583842992783,
0.013718562200665474,
-0.02431638166308403,
-0.06806327402591705,
0.0248671006411314,
0.03264777734875679,
-0.05863043665885925,
0.013817409053444862,
-0.031772274523973465,
-0.0486610047519207,
0.03267601877450943,
-0.04233479127287865,
-0.06343158334493637,
-0.040075428783893585,
-0.020404860377311707,
0.002603561384603381,
0.006326213013380766,
-0.05535436421632767,
-0.013153721578419209,
-0.04236303269863129,
0.047135934233665466,
0.012313521467149258,
-0.003872687229886651,
-0.03191348537802696,
0.007208776194602251,
-0.04038609191775322,
0.02368093654513359,
0.0004651108174584806,
-0.006891053635627031,
-0.02188756689429283,
-0.06252783536911011,
0.005450710188597441,
0.01606971025466919,
-0.03448351100087166,
-0.004677584860473871,
-0.020602555945515633,
0.002781839109957218,
0.03154633939266205,
0.005743721500039101,
-0.07020966708660126,
-0.028001965954899788,
-0.041769951581954956,
0.02252301201224327,
0.008338456973433495,
-0.003890338586643338,
0.02843971736729145,
0.027182945981621742,
0.04018839821219444,
-0.018625613301992416,
-0.026321565732359886,
0.008882115595042706,
0.04047081992030144,
-0.024810615926980972,
0.03691232204437256,
0.02485297992825508,
-0.0016371547244489193,
0.041176870465278625,
-0.008536151610314846,
-0.00861381646245718,
0.03191348537802696,
0.00982822384685278,
0.04496129974722862,
0.07111341506242752,
0.00027624229551292956,
0.02616623416543007,
-0.0008137232507579029,
-0.0343705415725708,
-0.006280319765210152,
0.015151845291256905,
-0.02606738731265068,
0.027790149673819542,
-0.00796425063163042,
-0.030134238302707672,
0.01844204030930996,
-0.006287380121648312,
-0.007526498753577471,
-0.03312789276242256,
-0.021026184782385826,
0.031687550246715546,
-0.027041736990213394,
0.044707123190164566,
-0.024189291521906853,
0.013930377550423145,
0.01130386907607317,
-0.007674769498407841,
0.008084278553724289,
0.012539457529783249,
-0.03982125222682953,
-0.009609348140656948,
0.059534184634685516,
-0.02968236617743969,
-0.031094467267394066,
0.040668513625860214,
-0.013725622557103634,
0.0272959154099226,
0.0013591473689302802,
0.029399944469332695,
0.011317990720272064,
0.07698775082826614,
-0.01961408369243145,
-0.05385753512382507,
-0.014643488451838493,
0.04202412813901901,
-0.06958834081888199,
0.03369273245334625,
0.00951756164431572,
-0.028693893924355507,
0.006541558541357517,
-0.0533774234354496,
0.021238001063466072,
-0.01399392168968916,
0.017086423933506012,
0.06371400505304337,
-0.0296541228890419,
-0.0033696263562887907,
0.038183216005563736,
0.027578335255384445,
0.017651263624429703,
0.04510251060128212,
-0.006110867485404015,
-0.009369291365146637,
0.04318205267190933,
0.030416658148169518,
-0.004801143892109394,
0.010548395104706287,
-0.03795727714896202,
0.001897510839626193,
0.008034855127334595,
0.006739252712577581,
-0.039510589092969894,
0.019359907135367393,
0.030529625713825226,
0.0027483017183840275,
-0.04459415376186371,
0.005168289877474308,
-0.025629635900259018,
-0.03341031074523926,
0.019430510699748993,
0.013090177439153194,
-0.029880059882998466,
0.0028771560173481703,
-0.013026632368564606,
0.01719939149916172,
0.03276074677705765,
-0.026900526136159897,
-0.011713379062712193,
0.0050412011332809925,
-0.0582350492477417,
-0.03425757214426994,
0.029908301308751106,
0.008973903022706509,
0.013499686494469643,
-0.005973187740892172,
0.009870586916804314,
-0.013203145004808903,
0.01097202580422163,
-0.03784431144595146,
-0.024471713230013847,
0.016422735527157784,
0.005189471412450075,
0.05998605489730835,
0.021195637062191963,
-0.03397515416145325,
-0.01220761425793171,
-0.020475465804338455,
0.0714523196220398,
-0.04391634464263916,
0.026349807158112526,
0.01605558954179287,
0.04617570713162422,
0.0007815097342245281,
0.025770844891667366,
0.009948252700269222,
-0.05767020955681801,
0.03719474375247955,
0.002850679215043783,
0.03027544729411602,
-0.007342925760895014,
-0.01786307990550995,
0.08173241466283798,
0.008394940756261349,
-0.02132272720336914,
0.021605147048830986,
0.03660166263580322,
0.011247385293245316,
-0.042984358966350555,
0.009489319287240505,
-0.009319867007434368,
0.03095325641334057,
-0.06597336381673813,
0.011317990720272064,
0.0019628205336630344,
-0.06405290961265564,
0.23124568164348602,
0.050750914961099625,
0.03719474375247955,
0.042419519275426865,
0.02499418891966343,
0.02262186072766781,
-0.014855303801596165,
-0.0354437381029129,
0.01601322740316391,
-0.033523280173540115,
-0.01726999692618847,
0.0016548059647902846,
0.028651531785726547,
-0.031235676258802414,
0.021520420908927917,
0.061737060546875,
-0.042504243552684784,
-0.02140745334327221,
0.0006451536901295185,
-0.04405755549669266,
-0.008726784959435463,
-0.017495932057499886,
-0.030134238302707672,
0.014954150654375553,
-0.014841183088719845,
0.00830315425992012,
0.026533380150794983,
-0.030473142862319946,
-0.01842791959643364,
-0.0236526932567358,
-0.047870226204395294,
-0.051965322345495224,
0.02859504707157612,
0.008550272323191166,
-0.010103583335876465,
0.015067119151353836,
-0.007349986117333174,
0.002132272580638528,
-0.009058628231287003,
0.0045716771855950356,
-0.008458485826849937,
-0.05936473235487938,
-0.0030571988318115473,
-0.03456823527812958,
-0.0236526932567358,
0.05399874597787857,
-0.02622271701693535,
0.025248367339372635,
-0.017029939219355583,
-0.05710536986589432,
0.05577799305319786,
-0.061454638838768005,
-0.015490748919546604,
-0.027564214542508125,
-0.08003789186477661,
0.01241942960768938,
0.019910626113414764,
0.008853874169290066,
-0.031122708693146706,
-0.015406022779643536,
0.043577440083026886,
-0.04281490668654442,
-0.006552149076014757,
-0.010703726671636105,
0.016154436394572258,
0.035302527248859406,
0.04733362793922424,
0.05947769805788994,
-0.0030942666344344616,
0.018145499750971794,
0.01664867252111435,
-0.08082866668701172,
-0.022678343579173088,
0.019769415259361267,
0.04227830842137337,
-0.047813743352890015,
-0.00033449145848862827,
-0.0025206005666404963,
-0.01784895732998848,
0.0121299484744668,
0.012800696305930614,
0.0012726561399176717,
-0.0655214935541153,
0.003975064493715763,
0.012257037684321404,
0.07077451050281525,
0.03496362268924713,
-0.01244767103344202,
-0.0008909475291147828,
0.0017580658895894885,
0.002988358959555626,
0.018258467316627502,
0.0021146214567124844,
-0.02735239826142788,
-0.03391866758465767
] |
1206_21 | The energy sequence of the first 35 subshells (e.g., 1s, 2p, 3d, etc.) is given in the following table. Each cell represents a subshell with and given by its row and column indices, respectively. The number in the cell is the subshell's position in the sequence. For a linear listing of the subshells in terms of increasing energies in multielectron atoms, see the section below.
Note: empty cells indicate non-existent sublevels, while numbers in italics indicate sublevels that could (potentially) exist, but which do not hold electrons in any element currently known.
Electron placement and the periodic table
Several rules govern the placement of electrons in orbitals (electron configuration). The first dictates that no two electrons in an atom may have the same set of values of quantum numbers (this is the Pauli exclusion principle). These quantum numbers include the three that define orbitals, as well as , or spin quantum number. Thus, two electrons may occupy a single orbital, so long as they have different values of . However, only two electrons, because of their spin, can be associated with each orbital.
Additionally, an electron always tends to fall to the lowest possible energy state. It is possible for it to occupy any orbital so long as it does not violate the Pauli exclusion principle, but if lower-energy orbitals are available, this condition is unstable. The electron will eventually lose energy (by releasing a photon) and drop into the lower orbital. Thus, electrons fill orbitals in the order specified by the energy sequence given above.
This behavior is responsible for the structure of the periodic table. The table may be divided into several rows (called 'periods'), numbered starting with 1 at the top. The presently known elements occupy seven periods. If a certain period has number i, it consists of elements whose outermost electrons fall in the ith shell. Niels Bohr was the first to propose (1923) that the periodicity in the properties of the elements might be explained by the periodic filling of the electron energy levels, resulting in the electronic structure of the atom. | [
-0.013603560626506805,
-0.006429579574614763,
0.06445635855197906,
-0.023908402770757675,
-0.0043350402265787125,
0.00812272634357214,
-0.023178597912192345,
-0.020390745252370834,
-0.007451306562870741,
0.06574080884456635,
0.03625670075416565,
0.00027755385963246226,
0.0020361552014946938,
-0.04656154289841652,
-0.03427163138985634,
0.02671085298061371,
-0.016946066170930862,
-0.015136150643229485,
-0.05076521635055542,
-0.0035505001433193684,
-0.009575038217008114,
-0.0013054382288828492,
-0.05202048271894455,
-0.030447453260421753,
-0.041044220328330994,
0.04478082060813904,
0.006214287597686052,
0.007381975185126066,
0.02425871044397354,
0.04457647353410721,
0.019792305305600166,
-0.040810681879520416,
0.03774550184607506,
-0.028622942045331,
-0.010720831342041492,
0.0038752632681280375,
0.011093031615018845,
-0.012793476693332195,
0.022332025691866875,
-0.045569006353616714,
0.04130695015192032,
-0.034738704562187195,
0.008458437398076057,
-0.011735260486602783,
-0.011107628233730793,
-0.019135480746626854,
-0.0030031464993953705,
-0.007192225661128759,
-0.02199631556868553,
-0.046824272722005844,
0.018420271575450897,
-0.001766127534210682,
0.03596477955579758,
0.0049772681668400764,
-0.011428742669522762,
-0.029235977679491043,
-0.006232532672584057,
0.01309999544173479,
-0.03491386026144028,
0.023091021925210953,
0.012625621631741524,
-0.027192525565624237,
-0.0127496886998415,
0.01729637198150158,
0.008217601105570793,
0.05666204169392586,
-0.004966321401298046,
0.01932523027062416,
-0.0021456258837133646,
-0.03234494477510452,
0.009852363727986813,
0.016843892633914948,
-0.010231862775981426,
0.023470520973205566,
-0.06860164552927017,
-0.01156010664999485,
-0.01912088505923748,
-0.026988178491592407,
-0.012173143215477467,
-0.010545678436756134,
0.0031892466358840466,
-0.01073542796075344,
-0.011056541465222836,
-0.0007959433132782578,
-0.005137825384736061,
-0.03596477955579758,
-0.03281202167272568,
0.05914337560534477,
-0.0001790302194422111,
-0.014990189112722874,
0.02636054717004299,
0.047145385295152664,
-0.030739376321434975,
-0.0011841082014143467,
0.02190873771905899,
0.030535031110048294,
-0.0034665726125240326,
0.029951186850667,
0.006714203394949436,
0.05348009243607521,
0.027747176587581635,
0.06579919904470444,
-0.01935442164540291,
0.03996410593390465,
-0.058588724583387375,
0.04151129350066185,
0.005309329368174076,
0.04708700254559517,
0.021368682384490967,
-0.038212575018405914,
0.024681996554136276,
-0.007896487601101398,
-0.0170920267701149,
-0.01066974550485611,
-0.008042448200285435,
0.06398928165435791,
0.026535701006650925,
0.014676373451948166,
-0.000578370236326009,
0.01483693066984415,
0.012581833638250828,
-0.0238938070833683,
0.006112114526331425,
0.02800990641117096,
-0.021251913160085678,
0.02679843083024025,
-0.03561447188258171,
-0.0027458902914077044,
0.0017788991099223495,
0.001611043931916356,
0.011290078982710838,
-0.0031782996375113726,
-0.007896487601101398,
0.027776367962360382,
-0.018989520147442818,
0.029600881040096283,
0.024039767682552338,
0.04448889568448067,
0.014223894104361534,
0.01875598169863224,
0.04174483194947243,
-0.043233633041381836,
-0.011647683568298817,
0.08185490220785141,
-0.019223056733608246,
0.03193625435233116,
0.003940945491194725,
0.058180034160614014,
0.00657918956130743,
0.015865955501794815,
-0.024784168228507042,
0.004422616679221392,
0.007816208526492119,
0.026608681306242943,
-0.01669793203473091,
-0.014289576560258865,
-0.0026911550667136908,
0.025966452434659004,
-0.07117056101560593,
-0.0035450265277177095,
-0.013494089245796204,
-0.033454250544309616,
0.06819295883178711,
-0.006166850216686726,
-0.022302832454442978,
0.025805896148085594,
-0.0662078857421875,
-0.07076186686754227,
-0.016873085871338844,
-0.007152086589485407,
0.0006203340599313378,
0.012705900706350803,
0.0025962803047150373,
0.040810681879520416,
0.011414146050810814,
0.010655148886144161,
0.02081403136253357,
-0.04571497067809105,
-0.04676588624715805,
-0.0378330796957016,
-0.021514642983675003,
-0.023499712347984314,
0.04726215451955795,
0.020843222737312317,
0.04886772483587265,
-0.00006653766467934474,
-0.04694104194641113,
0.013559771701693535,
-0.0038387728855013847,
-0.03800823166966438,
0.04381747543811798,
0.027703387662768364,
0.009509355761110783,
0.03438840061426163,
-0.0002497300738468766,
-0.003716530743986368,
-0.05946449190378189,
0.023791635408997536,
-0.010990859009325504,
-0.024433862417936325,
0.02636054717004299,
-0.018945731222629547,
-0.0043934243731200695,
0.012808073312044144,
-0.03730762004852295,
-0.010085901245474815,
0.06661657989025116,
0.0830809697508812,
-0.004896990023553371,
0.00941448099911213,
-0.028039097785949707,
0.004021224100142717,
-0.0006394914234988391,
0.024098152294754982,
-0.01000562310218811,
0.0011357585899531841,
-0.02481336146593094,
0.023777037858963013,
-0.03249090537428856,
0.011815538629889488,
-0.024390075355768204,
0.010158881545066833,
0.006123061757534742,
0.040723104029893875,
-0.03035987727344036,
-0.006633925251662731,
0.011414146050810814,
0.04907207190990448,
0.04171564057469368,
0.028914863243699074,
-0.020726455375552177,
0.025820491835474968,
0.02206929586827755,
0.029951186850667,
0.031994640827178955,
-0.007462253328412771,
0.022098487243056297,
0.026170797646045685,
0.006947740912437439,
-0.014749353751540184,
0.01382250152528286,
0.0007804349297657609,
0.018011581152677536,
0.027717983350157738,
0.010954368859529495,
0.015428071841597557,
-0.027396870777010918,
0.05546516180038452,
-0.005159719381481409,
-0.0028571856673806906,
-0.03319152072072029,
0.047320540994405746,
0.04349636286497116,
-0.0007722246227785945,
-0.031264834105968475,
-0.03649023547768593,
0.0043131462298333645,
0.035672854632139206,
-0.06013591215014458,
-0.03403809294104576,
-0.005845735780894756,
0.0003345698642078787,
0.030243108049035072,
0.0034118371549993753,
0.021558431908488274,
0.04489758610725403,
0.048809342086315155,
0.009363395161926746,
0.034300822764635086,
-0.03225737065076828,
-0.07111217081546783,
-0.04370070621371269,
-0.005013758782297373,
0.02268233150243759,
-0.040927451103925705,
-0.01608489640057087,
0.012340998277068138,
-0.009429077617824078,
0.06795942038297653,
-0.04761246219277382,
-0.006725150626152754,
0.036840543150901794,
0.012413978576660156,
0.027615811675786972,
-0.02744065783917904,
0.01726718060672283,
-0.023266175761818886,
0.03940945491194725,
-0.05178694427013397,
-0.012362892739474773,
-0.04346717149019241,
-0.014413643628358841,
0.04489758610725403,
-0.05266271159052849,
-0.004776571877300739,
-0.0218211617320776,
-0.009742893278598785,
-0.0036107089836150408,
0.021514642983675003,
-0.02636054717004299,
-0.03392132371664047,
0.022244447842240334,
-0.028068291023373604,
-0.01507776603102684,
-0.030768567696213722,
0.039788953959941864,
0.010786513797938824,
-0.0025616146158427,
-0.010640553198754787,
-0.00571072194725275,
-0.03161514177918434,
-0.004575875587761402,
0.026608681306242943,
0.013851693831384182,
0.013180273585021496,
-0.0006166850216686726,
0.03149837255477905,
0.04527708515524864,
0.03990572318434715,
-0.04227029159665108,
-0.02069726213812828,
-0.01900411583483219,
0.00883063767105341,
-0.05476454645395279,
0.006893005687743425,
0.026579488068819046,
0.0038570179603993893,
-0.045685775578022,
0.007144788280129433,
-0.02716333232820034,
-0.03278283029794693,
0.02033236064016819,
0.03155675530433655,
0.04402182251214981,
-0.057742152363061905,
0.012428575195372105,
-0.03538093343377113,
-0.013756819069385529,
0.032753635197877884,
0.01382250152528286,
0.016639547422528267,
-0.04626962170004845,
-0.00798406358808279,
0.02606862597167492,
-0.009363395161926746,
-0.025499377399683,
0.025776702910661697,
-0.02106216549873352,
-0.04002249240875244,
-0.030826952308416367,
-0.005437045358121395,
0.031060490757226944,
0.017310967668890953,
0.006582838948816061,
0.048400651663541794,
0.03392132371664047,
-0.0024138290900737047,
-0.027513638138771057,
-0.024667400866746902,
-0.004054065328091383,
-0.019777707755565643,
0.038212575018405914,
0.014880718663334846,
-0.0015307654393836856,
-0.04536466300487518,
-0.06527373939752579,
0.01222422905266285,
-0.03961380198597908,
0.049247223883867264,
-0.024229517206549644,
0.04851742088794708,
0.01713581569492817,
0.002360918326303363,
0.018726790323853493,
0.0046342601999640465,
0.01661035604774952,
0.03596477955579758,
0.029352746903896332,
0.009961835108697414,
-0.028520768508315086,
0.002705750986933708,
0.0005459851818159223,
-0.007750526536256075,
-0.020580492913722992,
-0.005185262765735388,
0.04425536096096039,
-0.003196544712409377,
-0.0032403329387307167,
-0.007998660206794739,
-0.04256221279501915,
-0.0003991119738202542,
-0.02821425162255764,
-0.005502727814018726,
-0.03091452829539776,
-0.0207702424377203,
-0.012041778303682804,
0.05286705493927002,
-0.00009721227252157405,
-0.0025981049984693527,
0.024842552840709686,
0.05272109434008598,
0.06340543925762177,
-0.005236349068582058,
-0.00478022126480937,
-0.01839108020067215,
-0.008575205691158772,
0.0025415450800210238,
0.062471285462379456,
0.0067725880071520805,
0.023820826783776283,
-0.05549435317516327,
0.014661776833236217,
0.01847865618765354,
-0.018361886963248253,
0.019412806257605553,
-0.011370358057320118,
-0.05832599475979805,
-0.003915402572602034,
-0.005349468905478716,
0.029002441093325615,
-0.0170920267701149,
-0.012304508127272129,
0.023412136361002922,
0.055027276277542114,
0.023937596008181572,
-0.0352349728345871,
-0.025513973087072372,
-0.027104947715997696,
0.034738704562187195,
0.03111887350678444,
-0.017924005165696144,
-0.010224564000964165,
-0.09061256051063538,
0.0019029658287763596,
-0.0414821021258831,
0.006615680176764727,
0.04746650159358978,
-0.03027230128645897,
0.027776367962360382,
-0.04632800444960594,
0.010166180320084095,
0.008874425664544106,
0.001492450712248683,
0.028929460793733597,
0.02938193827867508,
0.006352950353175402,
0.03167352452874184,
0.026988178491592407,
0.0034501519985497,
0.0010272001381963491,
0.004021224100142717,
-0.04119018092751503,
0.0477876141667366,
-0.01985068991780281,
0.04694104194641113,
0.04971430078148842,
0.011173310689628124,
-0.022653140127658844,
0.010552976280450821,
0.008801445364952087,
-0.013391916640102863,
-0.005429747514426708,
0.008962002582848072,
-0.022726120427250862,
-0.01305620651692152,
0.05348009243607521,
-0.03666539117693901,
0.04320444166660309,
-0.0022496231831610203,
-0.005032003857195377,
0.0027021020650863647,
-0.015895146876573563,
-0.009626124985516071,
-0.00869197491556406,
0.03278283029794693,
0.0036544972099363804,
0.001094707055017352,
-0.0036800403613597155,
-0.007064510136842728,
-0.010501890443265438,
0.01706283539533615,
0.009385288693010807,
-0.030301492661237717,
-0.031352411955595016,
-0.02425871044397354,
-0.047846000641584396,
-0.02590806782245636,
0.006447825115174055,
-0.05012299120426178,
0.01831809990108013,
0.009210135787725449,
0.014231192879378796,
0.009633422829210758,
-0.054063934832811356,
0.003351628314703703,
-0.019179267808794975,
-0.048809342086315155,
-0.049218032509088516,
0.009779383428394794,
0.005502727814018726,
0.05129067599773407,
0.03602316230535507,
-0.01550105307251215,
0.0168147012591362,
-0.005042950622737408,
0.01528211124241352,
0.007454955484718084,
-0.032957982271909714,
-0.008100832812488079,
0.014545008540153503,
0.0005099510890431702,
-0.007075456902384758,
0.012297210283577442,
-0.0011302850907668471,
0.024988513439893723,
0.0059114182367920876,
0.06533212214708328,
0.006217936519533396,
-0.025499377399683,
0.05377201363444328,
0.025324225425720215,
-0.03339586406946182,
0.02373325079679489,
0.055961426347494125,
-0.03289959952235222,
0.0061522540636360645,
-0.018566232174634933,
-0.08343128114938736,
-0.007403869181871414,
-0.0540931262075901,
0.030535031110048294,
-0.05117390677332878,
-0.04866338148713112,
-0.04151129350066185,
-0.017165007069706917,
-0.04918884113430977,
0.03383374959230423,
-0.010479995980858803,
-0.0561949647963047,
-0.0064149838872253895,
-0.01477124821394682,
0.022623946890234947,
0.03666539117693901,
-0.012465065345168114,
-0.039146725088357925,
-0.03170271962881088,
-0.036315083503723145,
0.005389607977122068,
-0.029484111815690994,
-0.018172137439250946,
0.0315275639295578,
0.0005947908503003418,
0.023134810850024223,
-0.009210135787725449,
0.00009920783486450091,
0.008962002582848072,
-0.01875598169863224,
0.046707503497600555,
-0.03470951318740845,
0.027776367962360382,
-0.01859542541205883,
0.028622942045331,
-0.016201665624976158,
-0.024200325831770897,
0.033892132341861725,
-0.025513973087072372,
-0.012501555494964123,
-0.008640888147056103,
0.03079776093363762,
-0.013910078443586826,
-0.035731241106987,
-0.013282446190714836,
-0.008224899880588055,
0.027980713173747063,
-0.014960996806621552,
-0.02371865324676037,
-0.018245117738842964,
-0.028301827609539032,
-0.024609016254544258,
-0.00037676168722100556,
0.007743228226900101,
-0.0057253181003034115,
-0.031177258118987083,
-0.019544171169400215,
0.013691136613488197,
-0.07484877109527588,
0.015938935801386833,
0.08051206171512604,
0.0063237580470740795,
0.010049411095678806,
0.02428790181875229,
-0.02371865324676037,
-0.029367342591285706,
-0.00163202581461519,
0.024244112893939018,
0.0047838701866567135,
-0.009866960346698761,
0.01722339168190956,
-0.018610021099448204,
-0.06293836236000061,
-0.035147394984960556,
0.046503156423568726,
0.06614950299263,
0.006334705278277397,
0.07426492869853973,
-0.001879247254692018,
-0.024025171995162964,
0.029206786304712296,
0.030768567696213722,
-0.015194534324109554,
0.027455253526568413,
0.002547018462792039,
-0.017851024866104126,
-0.033074751496315,
-0.0043350402265787125,
0.03570204973220825,
-0.03584801033139229,
0.014070635661482811,
0.049743492156267166,
0.016989855095744133,
0.006075624376535416,
0.026608681306242943,
0.013515983708202839,
-0.05677880719304085,
-0.010049411095678806,
-0.027017371729016304,
-0.01097626332193613,
-0.0106332553550601,
-0.031994640827178955,
-0.059114184230566025,
0.015355091542005539,
-0.053742822259664536,
-0.00007708562770858407,
-0.0035869902931153774,
0.006126710679382086,
0.009538548067212105,
-0.009888853877782822,
0.009830470196902752,
-0.016800105571746826,
0.03663619980216026,
0.09802737087011337,
0.016347626224160194,
-0.03068099170923233,
-0.038095805794000626,
-0.025280436500906944,
0.0032731741666793823,
-0.025849683210253716,
0.04863418638706207,
0.023587290197610855,
0.019310632720589638,
0.025616146624088287,
0.01624545268714428,
0.016114089637994766,
0.03835853561758995,
-0.003919051494449377,
0.007619161624461412,
-0.010341333225369453,
-0.021616816520690918,
-0.0061376579105854034,
0.021120550110936165,
-0.0006924022454768419,
0.0178656205534935,
-0.022784503176808357,
-0.04361313208937645,
-0.0009523952030576766,
-0.005469886586070061,
-0.027834752574563026,
-0.05152421444654465,
-0.00941448099911213,
-0.03339586406946182,
-0.038942381739616394,
-0.05832599475979805,
-0.028345616534352303,
0.026054028421640396,
-0.05000622197985649,
-0.025893472135066986,
-0.002132854424417019,
-0.028389403596520424,
0.0032202634029090405,
-0.05076521635055542,
0.04667831212282181,
0.03605235368013382,
0.013742223381996155,
-0.04297090321779251,
-0.003716530743986368,
-0.022930465638637543,
-0.01656656712293625,
-0.036723773926496506,
-0.040927451103925705,
-0.04101502522826195,
0.0252220518887043,
-0.03059341385960579,
0.05739184468984604,
-0.04095664247870445,
-0.016391415148973465,
0.009283116087317467,
-0.020638877525925636,
-0.04151129350066185,
0.010158881545066833,
-0.003346154699102044,
0.0191646721214056,
0.015384283848106861,
0.018741386011242867,
-0.01555943675339222,
0.0017688642255961895,
-0.022171467542648315,
-0.008677378296852112,
-0.012027181684970856,
0.06112844496965408,
-0.057245884090662,
-0.013953866437077522,
0.006502560339868069,
0.052808672189712524,
-0.04717458039522171,
-0.007560777012258768,
-0.006830972619354725,
0.041978370398283005,
-0.0001197335877805017,
-0.0520496740937233,
-0.01717960275709629,
0.07233824580907822,
0.008801445364952087,
0.008823338896036148,
0.029206786304712296,
-0.026345951482653618,
0.0003402714501135051,
-0.005302031524479389,
-0.000025030021788552403,
-0.00753888301551342,
-0.0362858921289444,
0.02704656310379505,
-0.03470951318740845,
0.014092529192566872,
-0.01951497793197632,
0.007272504270076752,
-0.019733920693397522,
-0.012486958876252174,
-0.011304675601422787,
0.010954368859529495,
-0.039146725088357925,
0.02533882111310959,
0.03751196339726448,
-0.053334131836891174,
-0.002588982228189707,
-0.012311805970966816,
-0.05435585603117943,
0.024667400866746902,
-0.057858921587467194,
-0.04968510568141937,
-0.018449462950229645,
-0.0341840535402298,
-0.028812691569328308,
-0.027834752574563026,
-0.058997415006160736,
0.011173310689628124,
-0.0036143579054623842,
0.04930560663342476,
-0.039759762585163116,
-0.014384451322257519,
-0.010844898410141468,
-0.005926014389842749,
-0.01932523027062416,
0.03435920551419258,
-0.0011603895109146833,
-0.012873755767941475,
-0.02485715039074421,
-0.03669458255171776,
0.040518760681152344,
0.018683001399040222,
-0.03006795607507229,
0.015165342949330807,
-0.024390075355768204,
-0.0420367531478405,
0.027542831376194954,
0.023018041625618935,
-0.03254929184913635,
-0.022215256467461586,
-0.05707073211669922,
0.025163667276501656,
-0.005615847650915384,
0.004141641780734062,
0.013873588293790817,
0.03319152072072029,
0.02619999088346958,
-0.05928933620452881,
-0.054180704057216644,
0.022448793053627014,
0.07280532270669937,
-0.011363060213625431,
0.020434532314538956,
0.0362275056540966,
0.012486958876252174,
0.0168147012591362,
-0.03111887350678444,
-0.029921993613243103,
0.014800440520048141,
0.029440322890877724,
0.03739519417285919,
0.030126340687274933,
0.043759092688560486,
0.02744065783917904,
0.012786178849637508,
-0.0032859458588063717,
-0.007130192127078772,
-0.007896487601101398,
0.013574368320405483,
0.025324225425720215,
0.017310967668890953,
-0.032724443823099136,
0.01344300340861082,
-0.018493251875042915,
-0.0018993167905136943,
-0.007976765744388103,
-0.023455925285816193,
0.0194419976323843,
-0.009896152652800083,
0.043759092688560486,
-0.032111410051584244,
0.00637484434992075,
-0.013837098143994808,
-0.01048729382455349,
0.04340878501534462,
0.012800775468349457,
-0.023018041625618935,
-0.006404036656022072,
0.036723773926496506,
-0.02457982301712036,
-0.022623946890234947,
0.061537135392427444,
-0.004619664046913385,
0.019631747156381607,
-0.011662280187010765,
0.026448123157024384,
0.001249790657311678,
0.08366481214761734,
-0.041365332901477814,
-0.038738034665584564,
-0.009370693005621433,
0.010501890443265438,
-0.07379785180091858,
-0.0029411131981760263,
0.029921993613243103,
-0.02303263731300831,
-0.010684341192245483,
-0.044080205261707306,
0.0225947555154562,
-0.000039055958040989935,
0.04305848106741905,
0.06007752567529678,
0.01222422905266285,
-0.02574751153588295,
0.053655244410037994,
0.0063018640503287315,
-0.021967122331261635,
0.04022683575749397,
0.003915402572602034,
0.008144620805978775,
0.03675296530127525,
0.031585950404405594,
0.015822166576981544,
-0.006655819248408079,
-0.013895481824874878,
0.004137992858886719,
0.010611360892653465,
0.012589131481945515,
-0.0056121982634067535,
-0.017106622457504272,
0.047846000641584396,
0.021967122331261635,
-0.0051232292316854,
0.010312140919268131,
0.004389775451272726,
-0.0204929169267416,
-0.016902277246117592,
0.02234662137925625,
-0.022974252700805664,
-0.0015517473220825195,
-0.008246793411672115,
-0.004510193131864071,
-0.0009834119118750095,
-0.032636869698762894,
-0.04235786572098732,
0.012808073312044144,
-0.027776367962360382,
-0.034855473786592484,
0.02752823568880558,
-0.024638207629323006,
-0.0034574500750750303,
-0.035789623856544495,
-0.002245974028483033,
-0.025411801412701607,
-0.0047838701866567135,
-0.04332121089100838,
-0.015121554024517536,
0.04127775505185127,
0.016829296946525574,
0.05067764222621918,
0.023995980620384216,
-0.04740811511874199,
-0.005075791850686073,
0.006418632809072733,
0.07321400940418243,
-0.03216979280114174,
0.021164337173104286,
0.030330685898661613,
0.05342170596122742,
0.026623276993632317,
0.018726790323853493,
0.011290078982710838,
-0.028433192521333694,
0.03701569512486458,
-0.004488299135118723,
-0.003940945491194725,
0.0029411131981760263,
-0.028316423296928406,
0.025251243263483047,
0.028345616534352303,
-0.020040437579154968,
0.016916874796152115,
-0.00951665360480547,
0.0011485301656648517,
-0.066266268491745,
0.02368946187198162,
-0.033804554492235184,
0.03742438554763794,
-0.04918884113430977,
0.030243108049035072,
-0.007188576739281416,
-0.05517323687672615,
0.2510528266429901,
0.0561949647963047,
0.051670175045728683,
0.02344132773578167,
-0.00002822291753545869,
0.03657781332731247,
0.014815036207437515,
-0.06171228736639023,
-0.005115931387990713,
-0.03859207406640053,
-0.0005104072042740881,
-0.03149837255477905,
0.010064007714390755,
-0.008057044818997383,
0.004006627947092056,
0.07006125152111053,
-0.05202048271894455,
-0.009261222556233406,
-0.005130527541041374,
-0.06393089890480042,
-0.04927641525864601,
-0.014829631894826889,
0.00785999745130539,
0.00277873151935637,
-0.025718318298459053,
0.017165007069706917,
0.04384667053818703,
-0.025849683210253716,
-0.04005168378353119,
0.01410712581127882,
-0.0462404265999794,
-0.03686973452568054,
0.056691233068704605,
-0.00017777587345335633,
-0.0006873848615214229,
0.024769572541117668,
-0.027250908315181732,
0.009998325258493423,
-0.03027230128645897,
-0.0034154863096773624,
-0.012027181684970856,
0.010407015681266785,
0.033804554492235184,
-0.047320540994405746,
-0.0061303600668907166,
0.06492342799901962,
0.004342338070273399,
0.022623946890234947,
0.004418967757374048,
-0.06790103018283844,
0.028958652168512344,
-0.03310394287109375,
0.011727962642908096,
-0.038212575018405914,
-0.08950325101613998,
0.025893472135066986,
0.04194917529821396,
0.011917711235582829,
0.012808073312044144,
0.008655483834445477,
0.023995980620384216,
-0.025076091289520264,
-0.004495597444474697,
-0.035877201706171036,
0.0029210434295237064,
0.04425536096096039,
0.055727891623973846,
0.08167974650859833,
0.02846238575875759,
0.010903283022344112,
0.02081403136253357,
-0.04285413399338722,
-0.041131794452667236,
0.03748277202248573,
0.023820826783776283,
-0.020755646750330925,
-0.005513675045222044,
0.0018974923295900226,
-0.0034793440718203783,
-0.008159217424690723,
-0.01580757088959217,
0.0021146093495190144,
-0.059843987226486206,
-0.0014368031406775117,
0.02796611748635769,
0.06346382200717926,
0.02147085592150688,
-0.06661657989025116,
-0.025645337998867035,
0.033366672694683075,
-0.018040772527456284,
0.0552024319767952,
0.012975928373634815,
-0.025513973087072372,
-0.028871076181530952
] |
1206_22 | The periodic table may also be divided into several numbered rectangular 'blocks'. The elements belonging to a given block have this common feature: their highest-energy electrons all belong to the same -state (but the associated with that -state depends upon the period). For instance, the leftmost two columns constitute the 's-block'. The outermost electrons of Li and Be respectively belong to the 2s subshell, and those of Na and Mg to the 3s subshell.
The following is the order for filling the "subshell" orbitals, which also gives the order of the "blocks" in the periodic table:
1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p
The "periodic" nature of the filling of orbitals, as well as emergence of the s, p, d, and f "blocks", is more obvious if this order of filling is given in matrix form, with increasing principal quantum numbers starting the new rows ("periods") in the matrix. Then, each subshell (composed of the first two quantum numbers) is repeated as many times as required for each pair of electrons it may contain. The result is a compressed periodic table, with each entry representing two successive elements:
Although this is the general order of orbital filling according to the Madelung rule, there are exceptions, and the actual electronic energies of each element are also dependent upon additional details of the atoms (see ).
The number of electrons in an electrically neutral atom increases with the atomic number. The electrons in the outermost shell, or valence electrons, tend to be responsible for an element's chemical behavior. Elements that contain the same number of valence electrons can be grouped together and display similar chemical properties.
Relativistic effects | [
-0.03666345402598381,
0.004810770973563194,
0.06062766909599304,
-0.02811761200428009,
-0.0375598706305027,
0.026309838518500328,
-0.00373693834990263,
-0.012004517018795013,
-0.022126559168100357,
0.07004004716873169,
0.04024912416934967,
0.019063800573349,
0.004586666822433472,
-0.059671491384506226,
-0.026250077411532402,
-0.0014585450990125537,
-0.03475109860301018,
0.013543366454541683,
-0.03340647369623184,
0.004799565766006708,
0.0009295657509937882,
0.014731119386851788,
-0.05055791884660721,
-0.03693237900733948,
-0.028491120785474777,
0.04640451818704605,
0.007358089555054903,
0.016568774357438087,
0.05641450732946396,
0.03669333457946777,
0.004414853639900684,
-0.029447298496961594,
0.030747102573513985,
-0.03346623480319977,
-0.007137720473110676,
0.02263452857732773,
0.02780386619269848,
-0.03678297623991966,
0.029058851301670074,
-0.02790844812989235,
0.05641450732946396,
-0.04281885176897049,
0.026698285713791847,
-0.032629579305648804,
-0.024068797007203102,
-0.024472184479236603,
0.009449728764593601,
-0.013931813649833202,
-0.03128495439887047,
-0.058775074779987335,
-0.010308795608580112,
-0.0018395223887637258,
0.03340647369623184,
0.007978111505508423,
-0.00035062976530753076,
-0.02303791604936123,
-0.008814767003059387,
-0.004762215074151754,
-0.04670332372188568,
0.05166349932551384,
0.02750506065785885,
-0.011063279584050179,
-0.02929789572954178,
0.0031598699279129505,
0.0010094029130414128,
0.0397411547601223,
-0.011802823282778263,
0.02783374674618244,
-0.016957221552729607,
-0.034123606979846954,
0.008112573996186256,
0.0030403477139770985,
0.00151550502050668,
-0.0019833226688206196,
-0.06561772525310516,
-0.00241098809055984,
0.018899457529187202,
-0.010951227508485317,
-0.04730093479156494,
0.007608339190483093,
-0.01390193309634924,
-0.012646949850022793,
-0.01008469145745039,
-0.0005887405131943524,
-0.001235374715179205,
-0.03298814594745636,
-0.03068734146654606,
0.0550101213157177,
0.015493073500692844,
-0.024397483095526695,
-0.00013481271162163466,
0.052500154823064804,
-0.026952270418405533,
-0.03080686368048191,
0.031464237719774246,
0.03881485387682915,
-0.008097633719444275,
0.025876570492982864,
0.019093681126832962,
0.03983079642057419,
0.015089686028659344,
0.04999018833041191,
-0.013745060190558434,
0.028894508257508278,
-0.04577702656388283,
0.026459241285920143,
0.014589186757802963,
0.04909377172589302,
0.019840696826577187,
-0.04141446575522423,
0.025383541360497475,
-0.013588187284767628,
0.005124517250806093,
-0.02284369245171547,
-0.008501021191477776,
0.05683283880352974,
0.005438263062387705,
0.03409372642636299,
-0.015239088796079159,
0.02126002311706543,
0.023172378540039062,
-0.019243083894252777,
-0.0024147231597453356,
0.0099950497969985,
-0.03307778760790825,
0.03415348753333092,
-0.01819726452231407,
-0.015821760520339012,
-0.016225147992372513,
-0.02075205370783806,
0.04180291295051575,
-0.010510489344596863,
0.003873268375173211,
0.005576460622251034,
-0.02512955665588379,
0.06191253289580345,
-0.031344715505838394,
0.04419335722923279,
0.031075788661837578,
0.01600104384124279,
0.05148421600461006,
-0.013588187284767628,
0.01689746044576168,
0.05922328308224678,
-0.03469133749604225,
0.031643521040678024,
0.025981152430176735,
0.020244084298610687,
-0.008120044134557247,
0.0034231923054903746,
-0.024322781711816788,
-0.016613595187664032,
-0.007436526007950306,
-0.0010458198375999928,
-0.04768938198685646,
-0.025159437209367752,
0.03752999007701874,
-0.0006330945179797709,
-0.05426310747861862,
-0.014529425650835037,
0.002334419172257185,
-0.03824712336063385,
0.06788864731788635,
0.013692769221961498,
-0.046852726489305496,
0.022679349407553673,
-0.05148421600461006,
-0.06627509742975235,
-0.004810770973563194,
-0.024591706693172455,
-0.00814992468804121,
0.0017975028604269028,
0.0001174212884507142,
0.04084673523902893,
0.023276960477232933,
0.02075205370783806,
0.019795875996351242,
-0.03636464849114418,
-0.014394963160157204,
-0.013722649775445461,
-0.008792356587946415,
0.0016499675111845136,
0.045537982136011124,
0.0056138113141059875,
0.01495522353798151,
0.0021028448827564716,
-0.0484662801027298,
-0.018809815868735313,
-0.01877993531525135,
-0.015007514506578445,
0.027684343978762627,
0.026474181562662125,
-0.0021831488702446222,
0.035020023584365845,
0.0077390666119754314,
-0.011847644113004208,
-0.05381489917635918,
0.040488168597221375,
-0.00223357230424881,
-0.03806784003973007,
-0.01271418109536171,
-0.014439783990383148,
-0.010734593495726585,
0.011339674703776836,
-0.062450382858514786,
-0.020408427342772484,
0.049243174493312836,
0.07876517623662949,
0.0035894031170755625,
0.02206679806113243,
-0.008822237141430378,
-0.0019665148574858904,
0.021319784224033356,
0.02215643972158432,
0.0011419978691264987,
-0.018794875591993332,
-0.008127514272928238,
0.024068797007203102,
-0.04452204331755638,
-0.004414853639900684,
-0.034033965319395065,
0.025278959423303604,
0.022694289684295654,
0.05802806094288826,
-0.019422367215156555,
-0.0082395663484931,
0.0011672095861285925,
0.043864671140909195,
0.050826843827962875,
0.05184278264641762,
-0.016957221552729607,
-0.0020692292600870132,
0.031464237719774246,
0.03866545110940933,
0.0037033227272331715,
0.01777893677353859,
0.035527992993593216,
0.019721174612641335,
0.010047340765595436,
-0.03947222977876663,
0.012841173447668552,
-0.028894508257508278,
0.023859631270170212,
0.010898936539888382,
0.027938328683376312,
0.030059849843382835,
-0.020991098135709763,
0.01425303053110838,
-0.015313790179789066,
0.008381498977541924,
-0.017958220094442368,
0.05055791884660721,
0.04706189036369324,
0.002704191254451871,
-0.0061852773651480675,
-0.04231088235974312,
0.03648417070508003,
0.023799870163202286,
-0.04374514892697334,
-0.029133552685379982,
0.014746059663593769,
-0.011220152489840984,
0.03469133749604225,
0.008964169770479202,
0.012945755384862423,
0.05366549640893936,
0.04392443224787712,
0.014701238833367825,
0.021484127268195152,
-0.05238063260912895,
-0.07302810251712799,
-0.035916440188884735,
-0.015224148519337177,
-0.001486558117903769,
-0.025757048279047012,
0.009285385720431805,
0.010099631734192371,
-0.022335723042488098,
0.03609572350978851,
-0.042281001806259155,
0.014193268492817879,
0.010727123357355595,
-0.005770684219896793,
0.032749101519584656,
0.004530640784651041,
0.029940327629446983,
-0.012983106076717377,
0.04252004623413086,
-0.028132552281022072,
-0.0072796531021595,
-0.06197229400277138,
-0.019706234335899353,
0.038934376090765,
-0.05602606013417244,
-0.0036846473813056946,
-0.0015397829702124,
-0.031344715505838394,
-0.009718653745949268,
0.02254488691687584,
-0.041982196271419525,
-0.057370688766241074,
0.016150446608662605,
-0.014887992292642593,
0.008560782298445702,
-0.045836787670850754,
0.0530678853392601,
0.006323474925011396,
0.006749272812157869,
0.0032495115883648396,
0.011989576742053032,
-0.020602650940418243,
0.007033138070255518,
0.04440252110362053,
0.0025996093172580004,
-0.018705233931541443,
0.03911365941166878,
0.04156386852264404,
0.04550810158252716,
0.01739048957824707,
-0.004332682117819786,
-0.03289850428700447,
0.0011438654037192464,
0.009591661393642426,
-0.08151418715715408,
0.005994788371026516,
0.04063757136464119,
-0.013700239360332489,
-0.027759045362472534,
0.010936287231743336,
-0.018914397805929184,
-0.04075709357857704,
0.02622019685804844,
0.015821760520339012,
0.04494037106633186,
-0.06107587739825249,
0.027400478720664978,
-0.007190011441707611,
-0.006073225289583206,
0.042788971215486526,
0.0231424979865551,
0.026698285713791847,
-0.03507978469133377,
-0.002775157568976283,
0.01680781878530979,
0.001092508202418685,
-0.027639523148536682,
0.022201260551810265,
-0.024322781711816788,
-0.017913399264216423,
-0.013752530328929424,
0.03445229306817055,
0.06412369757890701,
0.009106102399528027,
0.03947222977876663,
0.0367530956864357,
0.02881980687379837,
-0.007111574988812208,
-0.036902498453855515,
-0.024188319221138954,
0.027400478720664978,
-0.001580868731252849,
0.03902401775121689,
0.00772412633523345,
0.012646949850022793,
-0.031165430322289467,
-0.042281001806259155,
0.009658892638981342,
-0.00835161842405796,
-0.0033447558525949717,
-0.028237134218215942,
0.0280279703438282,
0.00933767668902874,
0.026309838518500328,
0.037500109523534775,
0.003981585614383221,
0.010450728237628937,
0.04658380150794983,
0.0579981803894043,
0.029581760987639427,
-0.0015827362658455968,
-0.028132552281022072,
0.016628535464406013,
-0.023964213207364082,
-0.03684273734688759,
-0.0019076874013990164,
0.04700212925672531,
0.0006774484645575285,
0.018017981201410294,
-0.03767939284443855,
-0.03887461498379707,
-0.019512008875608444,
-0.0454782210290432,
-0.020527949556708336,
-0.020692292600870132,
-0.03068734146654606,
-0.0014370684511959553,
0.04027900472283363,
-0.015268969349563122,
-0.024397483095526695,
0.0073730298317968845,
0.019526949152350426,
0.06029898300766945,
0.004579196684062481,
-0.008508491329848766,
-0.039800915867090225,
-0.02264946885406971,
-0.020617591217160225,
0.07709185779094696,
0.005669837351888418,
0.030448297038674355,
-0.041085779666900635,
-0.016359610483050346,
0.0022727905306965113,
-0.002315743826329708,
0.00824703648686409,
-0.01677793823182583,
-0.07930302619934082,
0.0057221283204853535,
-0.00337837147526443,
0.04090649634599686,
0.0029114875942468643,
-0.03567739576101303,
0.014887992292642593,
0.036304887384176254,
0.023784929886460304,
-0.03271922096610069,
-0.03546823188662529,
-0.027744105085730553,
0.02215643972158432,
0.031344715505838394,
-0.03854592889547348,
-0.0016733116935938597,
-0.07942254841327667,
-0.017061803489923477,
-0.04093637689948082,
0.016359610483050346,
0.04171327129006386,
0.005202953703701496,
0.018242085352540016,
-0.0037817591801285744,
0.02365046739578247,
-0.0058117699809372425,
-0.0099950497969985,
0.023964213207364082,
0.021633530035614967,
0.006771683227270842,
0.05037863552570343,
0.046553920954465866,
0.04269932955503464,
-0.00213646050542593,
0.033735159784555435,
-0.04918341338634491,
0.03143435716629028,
-0.01213151030242443,
0.03965151309967041,
0.013356612995266914,
-0.011010988615453243,
-0.034810859709978104,
0.02484569139778614,
0.011429316364228725,
-0.021319784224033356,
-0.0015042998129501939,
0.0061255162581801414,
0.0004159935051575303,
-0.040786974132061005,
0.05381489917635918,
-0.06430298089981079,
0.02315743826329708,
0.0005901411641389132,
0.0003079099114984274,
0.019033920019865036,
-0.006835179403424263,
0.023486124351620674,
-0.022724170237779617,
0.03597620129585266,
-0.0019310315838083625,
0.010734593495726585,
-0.01390193309634924,
-0.010271444916725159,
-0.024995094165205956,
-0.004728599451482296,
0.0011793485609814525,
-0.005031140521168709,
-0.00794823095202446,
-0.013924343511462212,
-0.023082736879587173,
-0.005348621401935816,
-0.004885472357273102,
-0.04431287944316864,
0.012086689472198486,
-0.00137263850774616,
0.013797351159155369,
0.001916091307066381,
-0.07428308576345444,
0.0025622586254030466,
-0.03747022897005081,
-0.06645438075065613,
-0.0544423907995224,
0.012258502654731274,
-0.004747274797409773,
0.07201216369867325,
0.030254073441028595,
-0.033227190375328064,
0.017061803489923477,
0.002565993694588542,
0.028476180508732796,
0.015627536922693253,
0.009487079456448555,
-0.0022839957382529974,
0.017315788194537163,
-0.002255982719361782,
-0.00305528799071908,
0.01018927339464426,
-0.008015462197363377,
0.026743106544017792,
0.008762476034462452,
0.03496026247739792,
0.0052365693263709545,
-0.04201207682490349,
0.05740056931972504,
0.010219153948128223,
-0.019855637103319168,
0.03705190122127533,
0.06310775876045227,
-0.0315837599337101,
0.001940369256772101,
-0.010398437269032001,
-0.07422332465648651,
-0.008710185065865517,
-0.07452213019132614,
-0.006962171755731106,
-0.048645563423633575,
-0.02880486659705639,
-0.04389455169439316,
-0.013356612995266914,
-0.007119045127183199,
0.02433772198855877,
-0.02533872053027153,
-0.06113563850522041,
-0.029925387352705002,
-0.02929789572954178,
0.0008576656109653413,
0.05793841928243637,
-0.03328695148229599,
-0.04359574615955353,
-0.03983079642057419,
-0.03349611535668373,
0.0010785016929730773,
-0.025577764958143234,
-0.00538597209379077,
0.0104806087911129,
-0.0020916396751999855,
0.01619526743888855,
0.003623018739745021,
0.003318610368296504,
0.020498069003224373,
-0.0046837786212563515,
0.06597629189491272,
-0.024681348353624344,
0.011720651760697365,
-0.003766818903386593,
0.029387537389993668,
-0.04362562671303749,
-0.011511487886309624,
0.004795830696821213,
-0.021319784224033356,
-0.013984104618430138,
-0.03379492089152336,
0.033944323658943176,
0.000620488659478724,
-0.05034875497221947,
-0.022679349407553673,
-0.008478610776364803,
0.035109665244817734,
0.015732118859887123,
-0.00573333352804184,
-0.030149491503834724,
-0.006883735302835703,
-0.032749101519584656,
-0.016419371590018272,
0.02345624379813671,
-0.007081693969666958,
-0.04891448840498924,
-0.021140500903129578,
0.042191360145807266,
-0.06675318628549576,
0.0568627193570137,
0.06693246960639954,
0.02475604973733425,
0.0235458854585886,
0.004213159903883934,
-0.016240088269114494,
-0.004609077237546444,
-0.01898909918963909,
-0.007694245781749487,
0.0009183605434373021,
-0.010428317822515965,
0.05109576880931854,
-0.018914397805929184,
-0.055577851831912994,
-0.03200208768248558,
0.054502151906490326,
0.07703209668397903,
-0.015283909626305103,
0.05462167412042618,
-0.011145451106131077,
-0.008120044134557247,
0.03633476793766022,
0.03071722202003002,
-0.0002495494263712317,
0.034930381923913956,
0.0022167644929140806,
-0.013192269951105118,
-0.009688773192465305,
0.006670836359262466,
0.02822219394147396,
-0.0432969406247139,
0.003413854632526636,
0.033525995910167694,
0.0021887514740228653,
0.006887470372021198,
0.028864627704024315,
-0.010906406678259373,
-0.03152399882674217,
-0.012676830403506756,
-0.013035397045314312,
0.0067305974662303925,
-0.00021721770463045686,
-0.033824801445007324,
-0.04051804915070534,
0.020094681531190872,
-0.04165351018309593,
-0.013588187284767628,
-0.0015790011966601014,
0.015881521627306938,
0.009800825268030167,
-0.01858571171760559,
-0.0033802390098571777,
0.002149533247575164,
0.00933020655065775,
0.09938276559114456,
0.01689746044576168,
-0.051424454897642136,
-0.03863557055592537,
-0.021095680072903633,
0.008396439254283905,
-0.03603596240282059,
0.05850614979863167,
0.03098614700138569,
0.02892438881099224,
0.015657417476177216,
0.007387970108538866,
0.047719262540340424,
0.006177807226777077,
-0.009419848211109638,
0.021230142563581467,
-0.003473615739494562,
-0.051125649362802505,
-0.007671835366636515,
-0.0025940067134797573,
0.008090163581073284,
0.01232573390007019,
-0.021334724500775337,
-0.027460239827632904,
0.018062802031636238,
0.0017265364294871688,
-0.03842640668153763,
-0.04822723567485809,
-0.0037854942493140697,
-0.03143435716629028,
-0.027475180104374886,
-0.05644438788294792,
-0.03636464849114418,
0.02157376892864704,
0.0032140284311026335,
-0.026802867650985718,
-0.034541934728622437,
-0.028072791174054146,
0.008321737870573997,
-0.046434398740530014,
0.029462238773703575,
0.027863627299666405,
0.018794875591993332,
-0.02117038145661354,
-0.008501021191477776,
-0.014992574229836464,
-0.0086429538205266,
-0.028685344383120537,
-0.020408427342772484,
-0.027953268960118294,
0.0012213680893182755,
0.01928790472447872,
0.03785867616534233,
-0.02185763418674469,
-0.014738589525222778,
0.021499067544937134,
-0.003324212972074747,
-0.009823235683143139,
0.01435761246830225,
-0.01756977289915085,
0.0050087301060557365,
0.03944234922528267,
0.003906884230673313,
0.0069696418941020966,
0.012034398503601551,
-0.02444230392575264,
0.0007647557649761438,
-0.00008001222158782184,
0.06358584761619568,
-0.03286862373352051,
0.0027714224997907877,
-0.027370598167181015,
0.028774986043572426,
-0.04180291295051575,
0.005778154358267784,
-0.053396571427583694,
0.049422457814216614,
-0.00844126008450985,
-0.056384626775979996,
-0.015478133223950863,
0.06191253289580345,
0.028341716155409813,
-0.010234094224870205,
0.017853638157248497,
-0.02375504933297634,
0.005808034911751747,
-0.05811770260334015,
-0.00913598295301199,
-0.026802867650985718,
-0.03388456255197525,
-0.00007318404095713049,
-0.025204258039593697,
0.007358089555054903,
-0.012348144315183163,
0.009658892638981342,
-0.04165351018309593,
-0.028386536985635757,
0.0013866450171917677,
-0.0009314332855865359,
-0.04768938198685646,
0.020124562084674835,
0.03218137100338936,
-0.06209181621670723,
-0.01650901325047016,
-0.026787927374243736,
-0.04900413006544113,
0.02356082573533058,
-0.03956187143921852,
-0.03310766816139221,
-0.006132986396551132,
-0.03218137100338936,
-0.02305285632610321,
-0.028057850897312164,
-0.054292988032102585,
0.0449104905128479,
-0.006233833264559507,
0.03738058730959892,
-0.04464156553149223,
-0.019751055166125298,
-0.010869055986404419,
0.015747059136629105,
-0.03256981819868088,
0.03301802650094032,
-0.0032681869342923164,
-0.0030328775756061077,
-0.030478177592158318,
-0.04706189036369324,
0.05264955759048462,
0.011384495534002781,
-0.02393433265388012,
0.013266971334815025,
-0.012490076944231987,
-0.035527992993593216,
0.03370527923107147,
-0.012370554730296135,
-0.005673572421073914,
-0.017614593729376793,
-0.06603605300188065,
0.02713155373930931,
-0.009905408136546612,
-0.015537894330918789,
-0.02344130352139473,
0.04132482409477234,
0.018645472824573517,
-0.02982080541551113,
-0.06896434724330902,
0.02604091353714466,
0.07314762473106384,
-0.00332981557585299,
0.03197220712900162,
0.04374514892697334,
0.013371553272008896,
0.007141455542296171,
-0.013737590052187443,
-0.02829689532518387,
0.012639479711651802,
0.014387493021786213,
0.02185763418674469,
0.017061803489923477,
0.029850685968995094,
0.031045908108353615,
0.0019310315838083625,
0.021827753633260727,
-0.004526905715465546,
-0.002560391090810299,
0.026578763499855995,
0.0345718152821064,
-0.00020799675257876515,
-0.011339674703776836,
0.02353094518184662,
-0.019930338487029076,
-0.006424321793019772,
-0.02196221612393856,
-0.014021455310285091,
0.014155917800962925,
-0.013393963687121868,
0.03361563757061958,
-0.020707232877612114,
0.004429793916642666,
-0.008403909392654896,
-0.021723171696066856,
0.03615548461675644,
0.017808817327022552,
-0.01827196590602398,
-0.003012334695085883,
0.04631487652659416,
-0.01018927339464426,
-0.013580717146396637,
0.08175323158502579,
-0.009912878274917603,
0.01361806783825159,
0.009412378072738647,
0.03242041543126106,
-0.008867057971656322,
0.061255160719156265,
-0.04036864638328552,
-0.04482084885239601,
-0.004963909275829792,
0.008134984411299229,
-0.060956355184316635,
0.001724668894894421,
0.03149411827325821,
-0.005486818961799145,
-0.027355657890439034,
-0.02445724420249462,
0.023620586842298508,
-0.01709168404340744,
0.015433312393724918,
0.059462327510118484,
0.01446219440549612,
-0.04616547375917435,
0.058775074779987335,
0.004130988381803036,
-0.012460196390748024,
0.04556786268949509,
0.010943757370114326,
-0.00494149886071682,
0.07272929698228836,
0.011660890653729439,
0.02991044707596302,
0.03499014303088188,
0.002674310700967908,
-0.00893428921699524,
-0.007686775643378496,
-0.021588709205389023,
-0.005964907817542553,
-0.000048176578275160864,
0.032061848789453506,
0.04404395446181297,
-0.007462671492248774,
-0.0027191315311938524,
-0.015463192947208881,
-0.03738058730959892,
0.0246365275233984,
0.032061848789453506,
-0.010211683809757233,
-0.004691248759627342,
-0.009210684336721897,
0.011399435810744762,
-0.002437133574858308,
-0.01514944713562727,
-0.05432286858558655,
0.039591751992702484,
-0.028640523552894592,
-0.03397420421242714,
0.028057850897312164,
-0.022679349407553673,
0.009770944714546204,
-0.037888556718826294,
0.01107821986079216,
-0.042968254536390305,
0.00276955496519804,
-0.02702697180211544,
-0.0013324865140020847,
0.03131483495235443,
0.007029403001070023,
0.045836787670850754,
-0.0023923127446323633,
-0.07135479152202606,
-0.007044343277812004,
0.029163433238863945,
0.06358584761619568,
-0.03606584295630455,
0.023695288226008415,
0.018242085352540016,
0.031165430322289467,
0.01579187996685505,
0.011048339307308197,
0.0024838221725076437,
-0.044761087745428085,
0.04876508563756943,
0.01426050066947937,
-0.006065755151212215,
0.010174333117902279,
-0.02365046739578247,
0.03484074026346207,
0.02293333411216736,
-0.03385468199849129,
0.012938285246491432,
0.003174810204654932,
-0.010869055986404419,
-0.050916485488414764,
0.031016027554869652,
-0.03331683203577995,
0.02048312872648239,
-0.04060769081115723,
0.012848643586039543,
0.012094159610569477,
-0.059372685849666595,
0.2643832564353943,
0.03815748170018196,
0.022783931344747543,
0.03992043808102608,
-0.006584929767996073,
0.01464894786477089,
-0.009591661393642426,
-0.03851604834198952,
-0.007417850662022829,
-0.023366602137684822,
0.003985320683568716,
-0.02296321466565132,
0.0016340934671461582,
-0.00047528775758109987,
-0.007910880260169506,
0.07798827439546585,
-0.06131492182612419,
0.01710662432014942,
-0.0008852117462083697,
-0.05760973319411278,
-0.017256027087569237,
-0.014873052015900612,
0.014245560392737389,
0.020034920424222946,
-0.02087157592177391,
0.015164387412369251,
0.03487062081694603,
-0.027266016229987144,
-0.009173333644866943,
-0.028356656432151794,
-0.034243129193782806,
-0.03693237900733948,
0.04969138279557228,
0.005718393251299858,
0.006151661742478609,
-0.004392443224787712,
-0.036304887384176254,
0.007152660749852657,
-0.0383666455745697,
0.022126559168100357,
-0.01797316037118435,
-0.005158132873475552,
0.018137503415346146,
-0.023067796602845192,
-0.03098614700138569,
0.04688260704278946,
-0.022918393835425377,
0.01888451725244522,
-0.030254073441028595,
-0.05133481323719025,
0.058237224817276,
-0.042370643466711044,
-0.008508491329848766,
-0.033525995910167694,
-0.08856599777936935,
0.04389455169439316,
0.03875509276986122,
-0.005628751590847969,
0.005639956798404455,
-0.0049788495525717735,
0.03484074026346207,
-0.018630532547831535,
-0.0036267538089305162,
-0.024188319221138954,
0.01370770949870348,
0.03914353996515274,
0.03236065432429314,
0.04852604120969772,
0.011264973320066929,
-0.0235458854585886,
0.029746104031801224,
-0.04105589911341667,
-0.03179292380809784,
0.03367539867758751,
0.012572248466312885,
-0.034332770854234695,
-0.019915398210287094,
-0.0009342345874756575,
-0.001957177184522152,
-0.015866581350564957,
-0.0015668622218072414,
-0.031942326575517654,
-0.058685433119535446,
-0.011720651760697365,
0.020303845405578613,
0.04392443224787712,
0.012056808918714523,
-0.07153407484292984,
0.012856113724410534,
0.042281001806259155,
-0.00342692737467587,
0.0506475605070591,
0.0011363952653482556,
-0.02873016521334648,
-0.01476099994033575
] |
1206_23 | Relativistic effects
For elements with high atomic number , the effects of relativity become more pronounced, and especially so for s electrons, which move at relativistic velocities as they penetrate the screening electrons near the core of high- atoms. This relativistic increase in momentum for high speed electrons causes a corresponding decrease in wavelength and contraction of 6s orbitals relative to 5d orbitals (by comparison to corresponding s and d electrons in lighter elements in the same column of the periodic table); this results in 6s valence electrons becoming lowered in energy.
Examples of significant physical outcomes of this effect include the lowered melting temperature of mercury (which results from 6s electrons not being available for metal bonding) and the golden color of gold and caesium.
In the Bohr Model, an electron has a velocity given by , where is the atomic number, is the fine-structure constant, and is the speed of light. In non-relativistic quantum mechanics, therefore, any atom with an atomic number greater than 137 would require its 1s electrons to be traveling faster than the speed of light. Even in the Dirac equation, which accounts for relativistic effects, the wave function of the electron for atoms with is oscillatory and unbounded. The significance of element 137, also known as untriseptium, was first pointed out by the physicist Richard Feynman. Element 137 is sometimes informally called feynmanium (symbol Fy). However, Feynman's approximation fails to predict the exact critical value of due to the non-point-charge nature of the nucleus and very small orbital radius of inner electrons, resulting in a potential seen by inner electrons which is effectively less than . The critical value, which makes the atom unstable with regard to high-field breakdown of the vacuum and production of electron-positron pairs, does not occur until is about 173. These conditions are not seen except transiently in collisions of very heavy nuclei such as lead or uranium in accelerators, where such electron-positron production from these effects has been claimed to be observed.
There are no nodes in relativistic orbital densities, although individual components of the wave function will have nodes. | [
-0.016074221581220627,
-0.027016129344701767,
0.03750651702284813,
0.0007210258627310395,
-0.045754335820674896,
0.008857376873493195,
-0.027392398566007614,
-0.025420747697353363,
-0.05276799574494362,
0.062370385974645615,
0.01745889149606228,
-0.018708106130361557,
0.012296478264033794,
-0.057463835924863815,
-0.00632132263854146,
-0.027542905882000923,
-0.028641613200306892,
-0.025601357221603394,
-0.041841138154268265,
0.02107107639312744,
0.015532393008470535,
0.006505694705992937,
-0.03169691935181618,
0.00984320230782032,
-0.0021785986609756947,
0.019821861758828163,
-0.00646806787699461,
-0.0035689135547727346,
0.02656460553407669,
0.08241800963878632,
-0.007675891742110252,
0.008571412414312363,
0.03410504013299942,
-0.02359960414469242,
-0.0200476236641407,
0.009354053065180779,
0.01163424365222454,
-0.00929384957998991,
0.0653805360198021,
-0.001295306719839573,
0.05228637158870697,
-0.03973402827978134,
0.03187752887606621,
-0.03011658787727356,
-0.03579072654247284,
-0.000733254652004689,
0.015246428549289703,
-0.0074426052160561085,
-0.036543264985084534,
-0.0575842410326004,
0.008420905098319054,
0.0006885726470500231,
-0.0067164055071771145,
0.02268150821328163,
0.03151630982756615,
-0.054574087262153625,
-0.001923676347360015,
0.00209958222694695,
-0.03449636325240135,
0.01858769915997982,
0.018286684527993202,
-0.01818132773041725,
-0.015020666643977165,
-0.003187000285834074,
0.009707746095955372,
0.052165962755680084,
-0.01545713935047388,
0.008112364448606968,
-0.020514197647571564,
-0.007028708700090647,
0.021853715181350708,
-0.011837429367005825,
0.007472706492990255,
0.0033883042633533478,
-0.05189504846930504,
0.018091022968292236,
0.0025529866106808186,
-0.009173443540930748,
-0.047078803181648254,
0.006938404403626919,
-0.026579657569527626,
-0.03449636325240135,
0.0021052262745797634,
0.01649564318358898,
-0.0256465096026659,
-0.007675891742110252,
-0.011107467114925385,
0.01664615049958229,
0.033021386712789536,
-0.008849851787090302,
0.019295085221529007,
0.047108907252550125,
-0.032840777188539505,
-0.020484095439314842,
0.024863868951797485,
0.021432293578982353,
-0.014809955842792988,
0.012574916705489159,
-0.01438100915402174,
0.04373753443360329,
0.010475334711372852,
0.03347291052341461,
-0.03229894861578941,
0.013711250387132168,
-0.08759547024965286,
0.07844460755586624,
-0.009617441333830357,
0.02638399787247181,
0.020318537950515747,
-0.054393477737903595,
0.026940874755382538,
0.00264329113997519,
-0.018678003922104836,
0.012574916705489159,
-0.0013893740251660347,
0.039312608540058136,
-0.02242564596235752,
0.002425055019557476,
0.00037438786239363253,
0.022666458040475845,
-0.00012240507930982858,
-0.008511209860444069,
0.03205813840031624,
-0.0015163649804890156,
-0.04157022386789322,
0.027798769995570183,
-0.020228233188390732,
-0.00995608326047659,
-0.01538941077888012,
-0.013861757703125477,
0.035881031304597855,
0.014817481860518456,
0.004093809053301811,
0.029951028525829315,
0.002233157865703106,
0.040998294949531555,
-0.017218079417943954,
0.027603110298514366,
0.0019199136877432466,
-0.017880313098430634,
0.0200476236641407,
-0.011890106834471226,
0.016811707988381386,
0.04039626196026802,
-0.05394195392727852,
0.024382244795560837,
0.017504043877124786,
0.03356321528553963,
0.015374359674751759,
-0.008736970834434032,
-0.010565639473497868,
-0.010099065490067005,
-0.014057417400181293,
0.029981130734086037,
-0.037085093557834625,
-0.0030590686947107315,
-0.008315549232065678,
-0.01782011054456234,
-0.005779494997113943,
0.0069722686894237995,
-0.004327096045017242,
0.0012755526695400476,
0.056922007352113724,
0.03139590471982956,
-0.016781607642769814,
-0.00040637076017446816,
-0.09180968999862671,
-0.06971515715122223,
0.0055123441852629185,
-0.025631459429860115,
-0.024472549557685852,
0.023403944447636604,
-0.016330083832144737,
0.03530910238623619,
0.04731961712241173,
0.05806586518883705,
0.02978547103703022,
-0.03735600784420967,
-0.04972773790359497,
-0.03865037485957146,
-0.009218595921993256,
0.01976165920495987,
0.07109983265399933,
-0.008977783843874931,
-0.013259727507829666,
-0.03226884827017784,
-0.039643723517656326,
0.024984275922179222,
0.005839698016643524,
-0.01649564318358898,
0.030342349782586098,
-0.007781247142702341,
-0.03326219692826271,
0.04602525010704994,
-0.023328691720962524,
0.003345033386722207,
-0.08482613414525986,
0.008210194297134876,
0.002714782487601042,
-0.05571794509887695,
0.04698849841952324,
-0.022561101242899895,
-0.02042389288544655,
0.04957723245024681,
-0.04036616161465645,
0.007107725366950035,
0.05821637436747551,
0.05713271722197533,
0.024562854319810867,
0.0255411546677351,
0.004312045406550169,
-0.014305755496025085,
-0.005418276879936457,
0.0027223078068345785,
0.004338384140282869,
0.021266736090183258,
-0.014298230409622192,
0.05463428795337677,
-0.014365958981215954,
0.021763410419225693,
0.020228233188390732,
0.01209329254925251,
0.016992317512631416,
0.047259412705898285,
0.014373484067618847,
-0.014749753288924694,
-0.020393790677189827,
0.02477356418967247,
0.04554362595081329,
-0.010618316940963268,
-0.0007864026702009141,
0.00772104412317276,
-0.04442986845970154,
-0.009135816246271133,
0.012100817635655403,
0.016149474307894707,
0.008255346678197384,
0.016149474307894707,
-0.03576062619686127,
0.014960464090108871,
0.02843090146780014,
-0.03925240412354469,
0.029108187183737755,
0.00788660254329443,
-0.002270784694701433,
0.04123910516500473,
-0.01350053958594799,
0.015908662229776382,
0.019641252234578133,
0.03898148983716965,
-0.04157022386789322,
-0.005655326414853334,
0.03413514420390129,
-0.011769700795412064,
-0.06556114554405212,
-0.001631127088330686,
0.015103446319699287,
0.03813864663243294,
0.01121282298117876,
-0.08470572531223297,
-0.004496417008340359,
0.04346662014722824,
0.002378021366894245,
-0.012612544000148773,
0.03473717346787453,
0.06730704009532928,
-0.0074501303024590015,
0.02594752423465252,
0.03187752887606621,
-0.030823973938822746,
-0.06231018155813217,
-0.03627235069870949,
-0.01953589729964733,
-0.01560764666646719,
0.003653574036434293,
0.01017431914806366,
0.011145094409584999,
-0.04789154604077339,
0.07079881429672241,
-0.003980928100645542,
-0.02901788242161274,
-0.008819750510156155,
0.009782999753952026,
0.028220191597938538,
-0.028114834800362587,
0.03512849286198616,
-0.013854232616722584,
0.035730525851249695,
-0.04975784197449684,
-0.000588390976190567,
0.0012360443361103535,
-0.046777788549661636,
0.0447910875082016,
-0.020995821803808212,
0.026143185794353485,
-0.026113083586096764,
0.013809080235660076,
0.009429306723177433,
0.016299981623888016,
-0.05442357808351517,
0.004767330829054117,
0.0029856963083148003,
-0.02466820925474167,
-0.012537290342152119,
-0.03699478879570961,
0.030522959306836128,
-0.017759906128048897,
0.02436719462275505,
0.01220617350190878,
-0.017007367685437202,
-0.034707073122262955,
-0.013191998936235905,
0.017142824828624725,
0.014749753288924694,
-0.013365082442760468,
-0.00649440661072731,
0.03717539831995964,
-0.003875572932884097,
0.013899384997785091,
-0.04310540109872818,
-0.004767330829054117,
-0.01101716235280037,
-0.03410504013299942,
-0.06489891558885574,
0.02623348869383335,
0.05770464614033699,
-0.01097953598946333,
-0.0034710834734141827,
0.017910415306687355,
0.004360960330814123,
-0.0461757592856884,
0.03856007009744644,
0.012198647484183311,
0.03729580342769623,
-0.017428789287805557,
-0.02645925059914589,
0.01598391681909561,
-0.007879077456891537,
0.03275047242641449,
0.012115868739783764,
0.04801195114850998,
-0.01450894121080637,
-0.012996338307857513,
0.04665738344192505,
0.01476480346173048,
-0.01723312959074974,
0.029544658958911896,
-0.011950310319662094,
-0.05333992466330528,
-0.0009735965868458152,
0.021974122151732445,
0.01943054236471653,
-0.009820626117289066,
0.016254829242825508,
0.017729805782437325,
0.05105220526456833,
-0.007931754924356937,
-0.007213080767542124,
-0.026082981377840042,
0.00579830864444375,
-0.021688157692551613,
0.04262377694249153,
0.009203544817864895,
-0.03428564965724945,
-0.03205813840031624,
0.019626202061772346,
0.03296118229627609,
-0.0396738275885582,
-0.01403484120965004,
-0.03446625918149948,
0.020243283361196518,
-0.006505694705992937,
0.002536054467782378,
-0.007107725366950035,
0.01231152843683958,
0.0333826057612896,
0.04993845149874687,
0.041510019451379776,
0.03609174117445946,
-0.000412249966757372,
-0.004853873047977686,
0.008029584772884846,
0.03461676836013794,
-0.02283201552927494,
-0.02968011610209942,
-0.023449096828699112,
-0.018783358857035637,
0.0013658571988344193,
-0.0016141949454322457,
-0.07007637619972229,
-0.02561640739440918,
-0.03693458437919617,
-0.0008287329692393541,
-0.015502291731536388,
-0.029981130734086037,
0.016585946083068848,
0.041630424559116364,
-0.021056024357676506,
-0.012996338307857513,
-0.02400597557425499,
0.01917467825114727,
-0.002934899879619479,
-0.0031456106808036566,
-0.010242047719657421,
-0.01073872298002243,
-0.030357399955391884,
-0.03816875070333481,
0.021597852930426598,
-0.013395183719694614,
0.01639028638601303,
-0.010844078846275806,
0.002688443521037698,
0.015592596493661404,
-0.024758514016866684,
0.0223955437541008,
-0.013086643069982529,
-0.013982163742184639,
-0.034887682646512985,
0.006415389943867922,
0.0400952473282814,
0.02165805548429489,
0.041690628975629807,
0.032178543508052826,
0.011957835406064987,
0.027678363025188446,
-0.04635636880993843,
0.0023817841429263353,
-0.048463474959135056,
0.020905517041683197,
0.06616317480802536,
-0.014298230409622192,
-0.016766555607318878,
-0.08067212253808975,
0.006554609630256891,
0.0005747512332163751,
0.013771452941000462,
0.04141971468925476,
0.0034823715686798096,
0.015938764438033104,
-0.048463474959135056,
-0.020589452236890793,
0.07218348234891891,
-0.019084375351667404,
-0.001678160740993917,
0.014486365020275116,
-0.006769082974642515,
0.02700107917189598,
0.026082981377840042,
0.018316784873604774,
-0.04825276508927345,
0.018346887081861496,
-0.04614565521478653,
0.06393566727638245,
-0.026955926790833473,
-0.00022105815878603607,
0.030793871730566025,
-0.007269521243870258,
-0.029002830386161804,
0.040667176246643066,
0.05926992744207382,
-0.04175083339214325,
-0.04295489192008972,
0.01843719184398651,
-0.016781607642769814,
-0.047921646386384964,
0.035038188099861145,
-0.010219471529126167,
0.02188381738960743,
0.008518734946846962,
0.021597852930426598,
0.03407493978738785,
0.006046646274626255,
-0.013718775473535061,
0.014441212639212608,
0.021793512627482414,
-0.014975514262914658,
-0.04400844871997833,
-0.017428789287805557,
-0.007284571882337332,
-0.04563393071293831,
-0.026805419474840164,
-0.007220606319606304,
-0.022109579294919968,
-0.010836553759872913,
-0.013921961188316345,
-0.04837317019701004,
-0.04412885382771492,
-0.02265140600502491,
-0.06161784753203392,
0.030643364414572716,
-0.010151742957532406,
0.037416212260723114,
-0.02469831146299839,
-0.028972730040550232,
-0.0015878560952842236,
0.0046544503420591354,
-0.036573369055986404,
-0.02487892098724842,
0.023765163496136665,
-0.013530640862882137,
0.026805419474840164,
-0.019897116348147392,
-0.002110870322212577,
0.05312921106815338,
0.014584194868803024,
0.003666743403300643,
-0.028461003676056862,
0.028746968135237694,
0.008804699406027794,
-0.00472217844799161,
0.04494159296154976,
0.009007885120809078,
0.02704623155295849,
0.01894891820847988,
0.07152125239372253,
0.0004726882034447044,
0.019054273143410683,
-0.0143960602581501,
-0.0055725472047924995,
0.023148082196712494,
0.02521003782749176,
-0.001103409449569881,
0.018452242016792297,
0.07802318036556244,
-0.04891499876976013,
0.04668748378753662,
-0.014365958981215954,
-0.08795668929815292,
-0.008007008582353592,
-0.038469765335321426,
0.03425554931163788,
-0.056079164147377014,
-0.030854076147079468,
-0.05433327332139015,
-0.03160661458969116,
-0.02224503643810749,
0.01030225120484829,
0.006881963927298784,
-0.02089046686887741,
-0.0004618704551830888,
-0.008864902891218662,
-0.02462305687367916,
-0.02707633189857006,
-0.014922836795449257,
-0.02198917232453823,
-0.05755414068698883,
-0.039463113993406296,
0.033322401344776154,
-0.07922724634408951,
0.007626976817846298,
0.010528012178838253,
-0.029318897053599358,
0.03160661458969116,
-0.003666743403300643,
0.002182361437007785,
-0.02119148150086403,
-0.004974279087036848,
0.043195705860853195,
-0.016239779070019722,
0.004105097148567438,
-0.009158392436802387,
0.04698849841952324,
-0.04226255789399147,
0.00315125472843647,
0.0066637275740504265,
-0.05731332674622536,
-0.006705117411911488,
0.024457499384880066,
0.030161740258336067,
-0.02832554653286934,
-0.00951208546757698,
0.022621305659413338,
-0.004940414801239967,
0.015758154913783073,
0.016510693356394768,
0.0007708815392106771,
-0.008089788258075714,
-0.03509839251637459,
-0.048613984137773514,
0.013041490688920021,
0.01906932331621647,
0.004669500980526209,
-0.03687438368797302,
-0.026850571855902672,
-0.02993597835302353,
-0.061708152294158936,
0.026730164885520935,
0.08494653552770615,
0.01123539824038744,
0.004601772408932447,
-0.007107725366950035,
0.026549555361270905,
0.007619451731443405,
0.014855108223855495,
0.0029875775799155235,
0.01649564318358898,
-0.019520847126841545,
0.019189730286598206,
-0.006009019445627928,
-0.051834847778081894,
-0.02001752145588398,
0.04093809053301811,
0.043015096336603165,
-0.002906679641455412,
0.04786144569516182,
0.022696558386087418,
-0.01602906920015812,
-0.0006109671085141599,
0.056440383195877075,
0.005516106728464365,
0.000956194126047194,
0.034556563943624496,
-0.03278057277202606,
0.038259051740169525,
-0.013741351664066315,
0.037927936762571335,
-0.06941414624452591,
0.039613623172044754,
0.026248540729284286,
-0.02656460553407669,
-0.03834935650229454,
0.035519812256097794,
-0.0038097258657217026,
-0.008420905098319054,
-0.051864948123693466,
0.0016809827648103237,
-0.030583161860704422,
-0.03446625918149948,
-0.044038549065589905,
-0.035218797624111176,
0.021537650376558304,
-0.027603110298514366,
-0.030688516795635223,
-0.005689190700650215,
-0.004116385243833065,
0.031817324459552765,
-0.019264983013272285,
0.0016339491121470928,
-0.009120766073465347,
-0.03193772956728935,
0.1025860384106636,
-0.013959587551653385,
-0.005429564975202084,
-0.04373753443360329,
-0.028190089389681816,
-0.04042636603116989,
-0.04036616161465645,
0.07543445378541946,
-0.025480950251221657,
0.038108546286821365,
0.013929486274719238,
0.01958104968070984,
0.024472549557685852,
0.0522562675178051,
-0.015193751081824303,
0.043376315385103226,
-0.019701456651091576,
-0.0063890512101352215,
-0.0255411546677351,
0.015261479653418064,
-0.00031935848528519273,
0.03904169425368309,
0.004067470319569111,
-0.05902911350131035,
-0.00006531798135256395,
-0.015833407640457153,
-0.02155270054936409,
0.003222745843231678,
0.0016866266960278153,
-0.03747641295194626,
-0.02421668730676174,
-0.06875190883874893,
-0.013741351664066315,
0.009647542610764503,
0.009301374666392803,
-0.05734342709183693,
-0.019340237602591515,
-0.010753774084150791,
0.04388803988695145,
-0.020363690331578255,
0.031335700303316116,
0.03600144013762474,
0.0000727845763321966,
-0.029213542118668556,
-0.016239779070019722,
-0.01605916954576969,
-0.015306632034480572,
-0.015487240627408028,
-0.002519122324883938,
-0.015532393008470535,
0.025496002286672592,
0.0038435899186879396,
0.023102929815649986,
-0.03515859693288803,
-0.051172614097595215,
-0.0010610792087391019,
0.012213698588311672,
-0.035399407148361206,
0.030417602509260178,
0.009165918454527855,
0.032419353723526,
0.006456779781728983,
0.005015668459236622,
0.008315549232065678,
-0.024713361635804176,
-0.026082981377840042,
0.0410584956407547,
0.000989587977528572,
0.07850480824708939,
-0.05613936483860016,
-0.014192874543368816,
-0.019716506823897362,
0.038951389491558075,
-0.045904844999313354,
-0.004048656672239304,
-0.050149161368608475,
0.04193144291639328,
-0.003017679089680314,
-0.012800678610801697,
-0.02086036466062069,
0.014937887899577618,
0.043015096336603165,
0.0002598609135020524,
-0.005651563405990601,
-0.028987780213356018,
0.0015775086358189583,
-0.026519455015659332,
0.01873820647597313,
-0.007495282683521509,
-0.0036987264174968004,
-0.035881031304597855,
-0.0031794749666005373,
-0.011303126811981201,
-0.001049791113473475,
0.01756424643099308,
0.013109219260513783,
0.018798409029841423,
-0.0049178386107087135,
-0.010181845165789127,
-0.08506694436073303,
0.019264983013272285,
0.041479919105768204,
-0.045904844999313354,
-0.002063836669549346,
-0.029002830386161804,
-0.0338040255010128,
0.03762692213058472,
-0.04843337461352348,
-0.03323209658265114,
0.01214597001671791,
-0.02221493422985077,
0.01756424643099308,
-0.028295444324612617,
-0.05788525566458702,
0.04135951027274132,
-0.006057934369891882,
0.01789536327123642,
0.017985668033361435,
-0.025240138173103333,
-0.017142824828624725,
0.020469045266509056,
-0.043526820838451385,
-0.0038454714231193066,
-0.04006514698266983,
0.009670118801295757,
-0.038289155811071396,
-0.04686809331178665,
0.012243799865245819,
0.00962496642023325,
-0.017353536561131477,
-0.00013757342821918428,
-0.0573735311627388,
-0.0185575969517231,
0.017488993704319,
-0.01723312959074974,
0.012748001143336296,
-0.0280997846275568,
-0.04412885382771492,
0.027874022722244263,
-0.019310135394334793,
0.0043872990645468235,
0.021507548168301582,
0.014584194868803024,
0.06971515715122223,
-0.05869799852371216,
-0.032479558140039444,
0.028370698913931847,
0.03717539831995964,
-0.013748876750469208,
0.02993597835302353,
0.005470954347401857,
-0.004545331932604313,
-0.015758154913783073,
-0.050841495394706726,
-0.016074221581220627,
0.055778149515390396,
-0.007295859977602959,
0.030462754890322685,
0.052527181804180145,
0.012100817635655403,
0.011385906487703323,
-0.003943301271647215,
0.007213080767542124,
-0.009105714969336987,
0.004914076067507267,
0.010497910901904106,
0.07320693880319595,
-0.0026733926497399807,
-0.004695839714258909,
0.015411986969411373,
-0.003463558154180646,
0.04593494534492493,
-0.04771093651652336,
-0.006204679142683744,
-0.0021296837367117405,
-0.03169691935181618,
0.02843090146780014,
-0.014448737725615501,
-0.017955567687749863,
0.009083138778805733,
0.014531517401337624,
0.005677902605384588,
0.009963608346879482,
-0.03256986290216446,
0.014313280582427979,
0.08037110418081284,
0.023765163496136665,
0.000206124983378686,
0.05330982059240341,
-0.0036121844314038754,
0.03037245012819767,
0.00040660591912455857,
0.0036121844314038754,
0.03542950749397278,
0.07013658434152603,
-0.01511097140610218,
-0.022154731675982475,
-0.010257098823785782,
0.00806721206754446,
-0.029318897053599358,
0.050329770892858505,
-0.005741868168115616,
-0.004451264627277851,
-0.01489273551851511,
-0.0273020938038826,
0.04485129192471504,
-0.02597762644290924,
0.01136333029717207,
0.060323480516672134,
-0.042021743953228,
-0.016209676861763,
0.012334104627370834,
-0.004650687333196402,
-0.012198647484183311,
0.022485848516225815,
-0.00028314258088357747,
-0.0003713306796271354,
0.05511591583490372,
0.037085093557834625,
0.01976165920495987,
-0.0030101537704467773,
-0.007039996795356274,
-0.025842169299721718,
0.00015344728308264166,
0.026323793455958366,
-0.011122518219053745,
0.007916703820228577,
0.02597762644290924,
0.014629347249865532,
-0.017248181626200676,
0.032479558140039444,
-0.013395183719694614,
-0.02129683829843998,
-0.015502291731536388,
0.012800678610801697,
0.002641409868374467,
-0.008917580358684063,
-0.017985668033361435,
0.03681417927145958,
0.01906932331621647,
-0.026399048045277596,
-0.04984814673662186,
-0.011370855383574963,
-0.04307530075311661,
-0.03865037485957146,
0.022952422499656677,
-0.009602390229701996,
-0.002583088120445609,
-0.0218085628002882,
0.002124039689078927,
-0.0305530596524477,
-0.011626718565821648,
-0.0312453955411911,
0.008601514622569084,
0.0312453955411911,
-0.0076646036468446255,
0.02403607778251171,
0.00011570278002182022,
-0.01580330729484558,
-0.027196738868951797,
0.0015126022044569254,
0.09186989068984985,
-0.027031179517507553,
0.010972009971737862,
-0.004507705103605986,
-0.0055838353000581264,
0.022275136783719063,
0.017579298466444016,
0.007909178733825684,
-0.024231737479567528,
0.015713002532720566,
-0.023042727261781693,
0.023765163496136665,
-0.003666743403300643,
-0.004300757311284542,
0.027708465233445168,
0.019385389983654022,
0.0080521609634161,
0.036392759531736374,
0.016932114958763123,
-0.0025247663725167513,
-0.03428564965724945,
-0.00008060391701292247,
-0.015366834588348866,
0.037566717714071274,
-0.011355805210769176,
0.013876808807253838,
0.010129166767001152,
-0.06712643057107925,
0.2677832841873169,
0.06977536529302597,
0.04229265823960304,
0.029228592291474342,
0.01902417093515396,
0.033201996237039566,
0.004906550515443087,
-0.023975873365998268,
-0.017985668033361435,
-0.04771093651652336,
-0.032509658485651016,
-0.018527496606111526,
-0.015065819025039673,
-0.021161381155252457,
0.037747327238321304,
0.06550094485282898,
-0.02505953051149845,
-0.027241891250014305,
0.007348537910729647,
-0.029665064066648483,
-0.006524508353322744,
-0.04906550422310829,
-0.00700613297522068,
0.04554362595081329,
-0.012288952246308327,
0.008292973041534424,
0.0532195158302784,
-0.00016767496708780527,
-0.018121125176548958,
-0.0071152509190142155,
-0.04885479435324669,
-0.03329230099916458,
0.02301262505352497,
0.002148497151210904,
-0.010091540403664112,
-0.0013366963248699903,
0.0039056744426488876,
0.04175083339214325,
-0.03187752887606621,
-0.007871552370488644,
-0.013696199283003807,
-0.039282504469156265,
0.007803823333233595,
-0.009813101030886173,
-0.010896756313741207,
0.06544074416160583,
-0.007231894414871931,
0.04906550422310829,
0.022275136783719063,
-0.07356815785169601,
0.05704241245985031,
-0.0200476236641407,
0.019550947472453117,
-0.014930362813174725,
-0.03533920273184776,
0.05942043289542198,
0.005873562302440405,
-0.0006344839348457754,
0.006396576762199402,
-0.027497753500938416,
0.04000494256615639,
-0.03705499321222305,
-0.05038997158408165,
-0.0019020409090444446,
0.018316784873604774,
0.055236320942640305,
0.0335933156311512,
0.03533920273184776,
-0.05240677669644356,
-0.0031305598095059395,
-0.0016480591148138046,
-0.03166681528091431,
-0.0373259074985981,
0.0167966578155756,
0.06405606865882874,
-0.017759906128048897,
0.006863150279968977,
0.02114632911980152,
-0.04798185080289841,
-0.02254605107009411,
-0.024984275922179222,
0.008029584772884846,
-0.045423220843076706,
0.02528529055416584,
0.02513478323817253,
0.05035987123847008,
0.020137928426265717,
-0.012815729714930058,
-0.00793928001075983,
0.022666458040475845,
-0.0005559377605095506,
0.030101537704467773,
0.023253437131643295,
-0.0000639069767203182,
-0.03446625918149948
] |
1206_24 | pp hybridisation (conjectured)
In late period-8 elements a hybrid of 8p3/2 and 9p1/2 is expected to exist, where "3/2" and "1/2" refer to the total angular momentum quantum number. This "pp" hybrid may be responsible for the p-block of the period due to properties similar to p subshells in ordinary valence shells. Energy levels of 8p3/2 and 9p1/2 come close due to relativistic spin–orbit effects; the 9s subshell should also participate, as these elements are expected to be analogous to the respective 5p elements indium through xenon.
Transitions between orbitals
Bound quantum states have discrete energy levels. When applied to atomic orbitals, this means that the energy differences between states are also discrete. A transition between these states (i.e., an electron absorbing or emitting a photon) can thus only happen if the photon has an energy corresponding with the exact energy difference between said states.
Consider two states of the hydrogen atom:
State , , and
State , , and
By quantum theory, state 1 has a fixed energy of , and state 2 has a fixed energy of . Now, what would happen if an electron in state 1 were to move to state 2? For this to happen, the electron would need to gain an energy of exactly . If the electron receives energy that is less than or greater than this value, it cannot jump from state 1 to state 2. Now, suppose we irradiate the atom with a broad-spectrum of light. Photons that reach the atom that have an energy of exactly will be absorbed by the electron in state 1, and that electron will jump to state 2. However, photons that are greater or lower in energy cannot be absorbed by the electron, because the electron can only jump to one of the orbitals, it cannot jump to a state between orbitals. The result is that only photons of a specific frequency will be absorbed by the atom. This creates a line in the spectrum, known as an absorption line, which corresponds to the energy difference between states 1 and 2.
The atomic orbital model thus predicts line spectra, which are observed experimentally. This is one of the main validations of the atomic orbital model. | [
-0.018815569579601288,
-0.0035777976736426353,
0.040332235395908356,
-0.003974904306232929,
-0.018554668873548508,
-0.01612982340157032,
-0.022928599268198013,
-0.03370227664709091,
-0.0019337371923029423,
0.07207007706165314,
0.0038252698723226786,
-0.019859174266457558,
0.00646881153807044,
-0.02687280811369419,
-0.04291054978966713,
0.0176952313631773,
0.007167105562984943,
-0.012231655418872833,
-0.030770977959036827,
-0.015224344097077847,
-0.0027759105432778597,
0.00404396653175354,
-0.06666789203882217,
-0.021884994581341743,
-0.0034435102716088295,
0.03931932523846626,
0.042235277593135834,
0.008648103103041649,
0.03499143570661545,
0.04800579324364662,
0.007727275602519512,
-0.017280858010053635,
0.055894214659929276,
-0.007750296033918858,
-0.0003167741815559566,
0.0025418668519705534,
0.018155643716454506,
-0.001323689240962267,
0.02599802240729332,
-0.023327624425292015,
0.05334659293293953,
-0.009661012329161167,
-0.0007002123747952282,
-0.017940783873200417,
-0.011679159477353096,
-0.035451848059892654,
-0.0019874521531164646,
-0.004646340850740671,
-0.023281581699848175,
-0.06979870796203613,
-0.001279566204175353,
-0.013689631596207619,
0.029098141938447952,
-0.01061253435909748,
-0.00024195695004891604,
-0.027624817565083504,
-0.007063512224704027,
-0.025292055681347847,
-0.039411406964063644,
0.01302203256636858,
-0.024770252406597137,
-0.004669361747801304,
-0.008417895995080471,
-0.020902778953313828,
-0.02186964824795723,
0.0454888679087162,
-0.01312946155667305,
0.04846620932221413,
-0.012461862526834011,
-0.046593859791755676,
0.010973191820085049,
-0.002917871344834566,
-0.026458436623215675,
0.03195270523428917,
-0.05690712481737137,
0.012362105771899223,
-0.018493281677365303,
-0.014832992106676102,
-0.0365261472761631,
0.03646475821733475,
-0.01708134636282921,
0.019981952384114265,
0.013536160811781883,
0.008318139240145683,
-0.007850052788853645,
-0.020795349031686783,
-0.01404261589050293,
0.041590698063373566,
0.013052726164460182,
-0.007381965406239033,
0.019628968089818954,
0.03925793617963791,
-0.015316426753997803,
-0.02573712170124054,
-0.012116552330553532,
0.021808259189128876,
-0.021194374188780785,
0.002532274927943945,
0.0342547744512558,
0.06304597109556198,
0.030724937096238136,
0.0476374626159668,
0.007002124097198248,
0.03104722499847412,
-0.049540504813194275,
0.05988446623086929,
0.003706329734995961,
0.019767092540860176,
0.017541758716106415,
-0.03922723978757858,
0.024033591151237488,
-0.02770155295729637,
-0.042634300887584686,
-0.029665984213352203,
0.014602785930037498,
0.042020417749881744,
0.01952153816819191,
0.018846264109015465,
0.01547757163643837,
0.000583670218475163,
0.00520651089027524,
0.005571004934608936,
0.020580489188432693,
0.031768541783094406,
0.029159529134631157,
0.006253951694816351,
-0.014418620616197586,
-0.007094206754118204,
-0.024601435288786888,
-0.024877682328224182,
0.031185349449515343,
0.006484158802777529,
0.018155643716454506,
0.037017256021499634,
-0.007071185857057571,
0.03922723978757858,
0.02760947123169899,
0.03021848201751709,
-0.00793446134775877,
0.010858087800443172,
0.01617586612701416,
-0.029665984213352203,
0.02756342850625515,
0.07041259109973907,
-0.028115926310420036,
0.02457074075937271,
0.024202410131692886,
0.009699380025267601,
-0.03061750717461109,
0.021838953718543053,
-0.028883282095193863,
-0.023542484268546104,
-0.00431637791916728,
0.03083236701786518,
-0.055372413247823715,
-0.008625081740319729,
-0.008417895995080471,
0.017848702147603035,
-0.057367537170648575,
0.00999864935874939,
-0.00036281553911976516,
-0.025506915524601936,
0.03609642758965492,
0.02730252780020237,
-0.006817958317697048,
-0.013398036360740662,
-0.05196535214781761,
-0.06292319297790527,
-0.015139934606850147,
-0.00622709421440959,
-0.012362105771899223,
0.023036029189825058,
0.0030655874870717525,
0.053929783403873444,
0.03400922194123268,
0.014418620616197586,
0.06912343204021454,
-0.025982676073908806,
-0.03778461366891861,
-0.01835515722632408,
-0.0071939630433917046,
-0.02130180411040783,
0.042849160730838776,
0.01335199549794197,
0.03026452288031578,
-0.020227504894137383,
-0.04183625057339668,
0.024632129818201065,
-0.017495717853307724,
-0.017188776284456253,
0.02782433107495308,
0.021624093875288963,
-0.03818363696336746,
0.030632853507995605,
0.00876320619136095,
0.0016910608392208815,
-0.04499775916337967,
-0.013513140380382538,
-0.02573712170124054,
-0.01800217293202877,
0.00223876116797328,
-0.024463310837745667,
-0.008448590524494648,
0.044721510261297226,
-0.036065734922885895,
-0.03548254445195198,
0.051105912774801254,
0.051627714186906815,
0.017802661284804344,
0.04822065308690071,
-0.01887695863842964,
-0.012576965615153313,
0.009016433730721474,
-0.017572453245520592,
0.015899617224931717,
-0.00007134013139875606,
-0.013689631596207619,
0.02661190740764141,
-0.00431637791916728,
0.05601699277758598,
0.01369730569422245,
0.014318863861262798,
0.0016344684408977628,
0.050676193088293076,
-0.014610459096729755,
0.0031288943719118834,
-0.03213687241077423,
0.031200697645545006,
0.06924621015787125,
0.021716175600886345,
-0.036157816648483276,
0.028161967173218727,
0.009845178574323654,
0.05337728559970856,
0.006288482807576656,
0.01191703975200653,
-0.006629956420511007,
0.0379994697868824,
0.006837142631411552,
-0.042327359318733215,
0.02165478840470314,
0.009699380025267601,
0.01060486026108265,
-0.0032439976930618286,
-0.0009697462082840502,
0.008571366779506207,
-0.005547984037548304,
-0.004903404973447323,
0.014740909449756145,
0.04352443665266037,
-0.03468449413776398,
0.03885890915989876,
0.006833305582404137,
-0.0011040335521101952,
-0.029098141938447952,
0.0060889702290296555,
0.045550256967544556,
0.027486693114042282,
-0.028208008036017418,
-0.03238242492079735,
0.004059313330799341,
0.0269955862313509,
-0.014702541753649712,
-0.02013542316854,
0.047545380890369415,
0.05727545544505119,
0.03864404931664467,
0.006292319390922785,
0.03695586696267128,
-0.028883282095193863,
-0.06197167560458183,
-0.012638353742659092,
-0.04177486523985863,
0.02678072638809681,
-0.05727545544505119,
0.013536160811781883,
0.010812046937644482,
-0.06986009329557419,
0.040332235395908356,
-0.04300263151526451,
0.022468185052275658,
0.012231655418872833,
0.0036238390021026134,
0.029205571860074997,
-0.003971067722886801,
0.012599986046552658,
-0.01506319921463728,
0.06451929360628128,
-0.018708139657974243,
-0.0022138222120702267,
-0.02252957411110401,
-0.013820082880556583,
0.032505203038454056,
-0.0744028389453888,
0.007090369705110788,
-0.023941509425640106,
0.012101205065846443,
-0.0005457819788716733,
-0.027471346780657768,
-0.0034895516000688076,
-0.015761492773890495,
0.030018968507647514,
0.012638353742659092,
-0.015991700813174248,
-0.033456724137067795,
0.03192201256752014,
0.0294357780367136,
0.0010714208474382758,
0.006940735504031181,
0.00923896674066782,
-0.04748399183154106,
0.005459738429635763,
0.03901237994432449,
0.023849425837397575,
-0.007247678004205227,
0.05574074387550354,
0.048803843557834625,
-0.004393113311380148,
0.03852127492427826,
-0.02516927756369114,
-0.029236266389489174,
-0.010873435065150261,
-0.015255038626492023,
-0.01582288183271885,
0.0038444537203758955,
0.05221090465784073,
0.0014685275964438915,
-0.020334934815764427,
0.016267947852611542,
-0.026949545368552208,
-0.02021215856075287,
0.02668864279985428,
0.02691885083913803,
0.0525178462266922,
-0.009791463613510132,
0.011003885418176651,
-0.008985739201307297,
-0.010428369045257568,
0.06292319297790527,
0.020288893952965736,
0.016313988715410233,
-0.011318502016365528,
0.013973553664982319,
0.017418982461094856,
0.020242853090167046,
-0.0017457350622862577,
0.011686832644045353,
-0.014840666204690933,
-0.03726280853152275,
-0.03873613476753235,
-0.01169450581073761,
-0.020012645050883293,
0.011924712918698788,
-0.03959557041525841,
0.032321035861968994,
0.04929495230317116,
-0.01265370100736618,
-0.049970224499702454,
-0.059025026857852936,
-0.022422144189476967,
-0.005386839620769024,
0.04146791994571686,
0.016528848558664322,
-0.005628556478768587,
-0.05079897120594978,
-0.03790738806128502,
0.010789026506245136,
-0.009990976192057133,
-0.0027279506903141737,
-0.022069159895181656,
0.03287353366613388,
-0.005444391164928675,
-0.017572453245520592,
0.024156369268894196,
0.02978876233100891,
0.025982676073908806,
0.06857093423604965,
0.06758872419595718,
0.0038060860242694616,
-0.015208996832370758,
0.009791463613510132,
-0.03143090382218361,
-0.02639704756438732,
-0.00787307322025299,
-0.02286721020936966,
0.022452838718891144,
-0.01163311768323183,
0.00904712826013565,
0.00179657235275954,
-0.09644130617380142,
-0.028376827016472816,
-0.03842918947339058,
0.004278009757399559,
-0.0648876279592514,
-0.023358318954706192,
-0.011387564241886139,
0.06126570701599121,
-0.02291325107216835,
-0.01369730569422245,
0.03892029821872711,
0.048496901988983154,
0.060498349368572235,
-0.015124587342143059,
-0.009799136780202389,
-0.01748037151992321,
0.020074034109711647,
0.012991338036954403,
0.047975100576877594,
-0.00004873910074820742,
0.0015500591835007071,
-0.044414568692445755,
-0.002777828834950924,
-0.02196172997355461,
-0.014318863861262798,
0.006357545033097267,
0.01375869382172823,
-0.03935001790523529,
-0.013244565576314926,
0.010029343888163567,
0.05933196842670441,
-0.009315702132880688,
0.03916585445404053,
-0.015278059057891369,
0.04950981214642525,
0.01743432879447937,
-0.014211433939635754,
0.006012234836816788,
-0.03456171602010727,
0.014832992106676102,
0.024816295132040977,
-0.045151229947805405,
-0.040240149945020676,
-0.0365261472761631,
-0.004055476747453213,
-0.02986549772322178,
0.0165595430880785,
0.07734949141740799,
-0.0005927825695835054,
0.009684033691883087,
-0.04769885167479515,
-0.016267947852611542,
0.0499088391661644,
-0.005547984037548304,
0.0212097205221653,
0.006058276165276766,
0.03453102335333824,
0.019813133403658867,
0.015554307028651237,
-0.019536884501576424,
-0.017158081755042076,
-0.018723487854003906,
-0.06359846889972687,
0.048681069165468216,
-0.02856099233031273,
-0.018922999501228333,
0.01617586612701416,
0.0051719797775149345,
-0.03664892539381981,
-0.010466736741364002,
0.01990521512925625,
-0.01608378253877163,
-0.006568567827343941,
0.0406084805727005,
-0.014748583547770977,
-0.003955720458179712,
0.013681958429515362,
-0.011003885418176651,
0.03858266398310661,
0.020104728639125824,
-0.02486233599483967,
0.028791198506951332,
0.03873613476753235,
-0.009745421819388866,
-0.017142733559012413,
0.04361651837825775,
0.0009994813008233905,
-0.008517651818692684,
-0.014794624410569668,
0.010343959555029869,
-0.03152298554778099,
-0.00000858779367263196,
-0.014748583547770977,
-0.05383770167827606,
-0.02317415364086628,
-0.013743346557021141,
-0.05313173308968544,
-0.03149229288101196,
0.008548346348106861,
-0.014180739410221577,
0.026811420917510986,
0.0054827588610351086,
0.038245026022195816,
0.04189763963222504,
-0.019076472148299217,
0.016467461362481117,
-0.04978606104850769,
-0.028944669291377068,
-0.04714635759592056,
0.021716175600886345,
-0.008118626661598682,
0.03858266398310661,
0.020457712933421135,
-0.027210446074604988,
0.019797785207629204,
0.006695181597024202,
0.0015740391099825501,
0.00667216069996357,
-0.002351946197450161,
-0.007949808612465858,
0.01857001706957817,
0.002313578501343727,
0.00847928412258625,
0.02113298512995243,
0.008809247054159641,
0.02251422591507435,
0.008594388142228127,
0.04852759838104248,
-0.0020239015575498343,
-0.01634468324482441,
0.04146791994571686,
0.001841654535382986,
-0.02799314819276333,
0.04278777167201042,
0.031185349449515343,
0.003959557041525841,
0.035543933510780334,
-0.008640429005026817,
-0.0693075954914093,
-0.03373297303915024,
-0.03882821649312973,
0.018462587147951126,
-0.07170175015926361,
-0.005524963606148958,
-0.07348201423883438,
-0.043892767280340195,
-0.03259728476405144,
0.053500063717365265,
0.023803384974598885,
-0.05500408262014389,
-0.005049202591180801,
-0.01286856085062027,
0.03726280853152275,
-0.0022310877684503794,
0.014280496165156364,
-0.021194374188780785,
-0.009116189554333687,
-0.018017519265413284,
-0.0028315437957644463,
-0.04392345994710922,
0.00030214645084924996,
0.009423132054507732,
-0.016252601519227028,
0.029205571860074997,
0.01047440990805626,
-0.0014666093047708273,
-0.010973191820085049,
0.005413697101175785,
0.06083598732948303,
-0.037109337747097015,
0.01629864238202572,
-0.02955855429172516,
0.03517560288310051,
-0.0072783720679581165,
0.024985112249851227,
0.013206197880208492,
-0.04512053728103638,
-0.022191936150193214,
-0.0119093656539917,
0.027762942016124725,
-0.024923725053668022,
-0.02744065225124359,
-0.02796245366334915,
-0.013060400262475014,
0.017418982461094856,
0.033119086176157,
-0.043156106024980545,
0.010297917760908604,
-0.06031418591737747,
-0.02151666395366192,
0.003211385104805231,
0.02539948560297489,
-0.01726551167666912,
-0.034193385392427444,
-0.030356604605913162,
-0.022422144189476967,
-0.07986641675233841,
0.05970029905438423,
0.07022842764854431,
-0.008924351073801517,
0.0342547744512558,
-0.012415820732712746,
-0.011579402722418308,
-0.017986826598644257,
0.01987452246248722,
-0.027379263192415237,
-0.004834343213587999,
-0.008809247054159641,
-0.007113390602171421,
-0.0398104302585125,
-0.01726551167666912,
-0.03069424256682396,
0.027379263192415237,
0.0021179027389734983,
0.004531237296760082,
0.06562428921461105,
0.0076006618328392506,
-0.0018598792375996709,
0.043278880417346954,
0.01484833937138319,
0.008049565367400646,
0.01843189261853695,
0.006146521773189306,
-0.03594295680522919,
-0.027931760996580124,
-0.015362468548119068,
0.0063805654644966125,
-0.051504939794540405,
0.007723438553512096,
0.04042431712150574,
-0.00694457208737731,
0.012722763232886791,
0.04300263151526451,
-0.01213189959526062,
-0.0618182048201561,
-0.007247678004205227,
-0.02457074075937271,
-0.05291687324643135,
-0.01942945457994938,
0.00210255547426641,
-0.006273135542869568,
-0.007627519313246012,
-0.04459873214364052,
-0.03499143570661545,
0.02900605835020542,
0.022115200757980347,
0.00038991280598565936,
0.0016709178453311324,
0.011571729555726051,
-0.014925074763596058,
0.00021162240591365844,
0.09545909613370895,
-0.00043667355203069746,
-0.04113028571009636,
-0.06098945811390877,
-0.022882556542754173,
-0.004911078605800867,
-0.007926788181066513,
0.05472783371806145,
0.016206560656428337,
0.020288893952965736,
0.03864404931664467,
0.012599986046552658,
0.020334934815764427,
0.04226597025990486,
-0.03729350492358208,
0.0357280969619751,
-0.021470623090863228,
-0.03858266398310661,
0.00008764644735492766,
0.030970489606261253,
0.004803648684173822,
0.03477657586336136,
-0.012285370379686356,
-0.023880120366811752,
-0.00237496686168015,
-0.014856013469398022,
-0.01873883418738842,
-0.055894214659929276,
-0.011518014594912529,
-0.052763402462005615,
-0.04865037277340889,
-0.035236988216638565,
-0.018769528716802597,
-0.004807485733181238,
0.017679883167147636,
-0.03873613476753235,
-0.003539429744705558,
-0.008924351073801517,
-0.0002221735630882904,
-0.03953418508172035,
0.04518192261457443,
0.005962356459349394,
-0.0005534555530175567,
-0.034377552568912506,
-0.02013542316854,
-0.01964431442320347,
-0.057060595601797104,
-0.02986549772322178,
-0.0007865399238653481,
0.026243576779961586,
0.0071479217149317265,
-0.04570372775197029,
0.03235173225402832,
-0.030878407880663872,
-0.03052542358636856,
0.02282116934657097,
-0.018984388560056686,
-0.05282479152083397,
0.03548254445195198,
0.02509254217147827,
0.02843821607530117,
0.0007472129655070603,
0.009077821858227253,
-0.004243479110300541,
0.013229218311607838,
-0.029067447409033775,
-0.0022790473885834217,
-0.02300533466041088,
0.06218653544783592,
-0.033763665705919266,
0.011418257839977741,
0.026964891701936722,
0.02765551209449768,
-0.046624552458524704,
0.011602423153817654,
-0.034377552568912506,
0.032842837274074554,
0.027502041310071945,
-0.01674370840191841,
-0.03155368193984032,
0.0022541084326803684,
0.01795613206923008,
0.04803648963570595,
-0.003967230673879385,
-0.005540310870856047,
0.019137859344482422,
0.016528848558664322,
-0.012362105771899223,
0.01061253435909748,
0.0011980346171185374,
-0.0024517024867236614,
-0.028975363820791245,
0.03944209963083267,
-0.0014263230841606855,
-0.027103016152977943,
-0.01895369403064251,
-0.021931035444140434,
-0.009799136780202389,
0.012914602644741535,
-0.07931391894817352,
0.014863686636090279,
0.05000092089176178,
-0.0722542479634285,
0.02196172997355461,
-0.0055978624150156975,
-0.032413121312856674,
0.0268267672508955,
-0.03922723978757858,
-0.05027716979384422,
-0.02647378295660019,
-0.029834803193807602,
-0.012177940458059311,
0.001795613206923008,
-0.020242853090167046,
-0.028453562408685684,
-0.026105452328920364,
0.019291331991553307,
-0.010290244594216347,
-0.0020565141458064318,
-0.03520629554986954,
0.022805821150541306,
-0.01703530363738537,
-0.0006551302503794432,
-0.02573712170124054,
-0.01686648651957512,
-0.03965695947408676,
-0.05205743387341499,
-0.04036292806267738,
0.04481359198689461,
-0.041283756494522095,
-0.028361478820443153,
-0.043278880417346954,
-0.02260630950331688,
-0.012162593193352222,
0.007546946872025728,
-0.0327814519405365,
-0.04613344743847847,
-0.08305861800909042,
0.029282307252287865,
-0.02073395997285843,
-0.025276707485318184,
0.004957119934260845,
0.0372014194726944,
0.05386839434504509,
-0.03327255696058273,
-0.009722401387989521,
0.03434685617685318,
0.05356145277619362,
-0.014326537027955055,
0.005862600170075893,
0.017710577696561813,
0.04558094963431358,
0.0126767223700881,
-0.028576338663697243,
-0.010106079280376434,
0.032413121312856674,
0.026197535917162895,
0.05009300261735916,
0.054451584815979004,
0.010643227957189083,
0.0056630875915288925,
-0.006699018180370331,
-0.0043585821986198425,
-0.04935634136199951,
0.025015806779265404,
-0.01990521512925625,
0.019199248403310776,
-0.0043892767280340195,
-0.0435551293194294,
-0.006910041440278292,
0.009852851741015911,
0.013520813547074795,
-0.036495454609394073,
0.0002755287860054523,
-0.00035418279003351927,
-0.0025246012955904007,
0.03321117162704468,
0.0060966438613832,
0.004584952257573605,
-0.047330521047115326,
-0.018063561990857124,
0.04192833602428436,
0.030249174684286118,
-0.015155281871557236,
0.014664174057543278,
0.06765010952949524,
-0.0040478031150996685,
-0.029113488271832466,
0.0701056495308876,
-0.014150045812129974,
0.021501315757632256,
0.01591496355831623,
0.03462310507893562,
-0.033456724137067795,
0.05583282560110092,
-0.041191671043634415,
-0.04855829104781151,
-0.033149782568216324,
0.00457727862522006,
-0.05792003497481346,
-0.01061253435909748,
-0.001120339846238494,
0.007224657107144594,
-0.001974023412913084,
-0.011832630261778831,
0.0249544195830822,
-0.020196810364723206,
0.030878407880663872,
0.057889338582754135,
-0.018278421834111214,
-0.032106176018714905,
0.009929587133228779,
0.02360387146472931,
0.01817099191248417,
0.029144182801246643,
0.033241864293813705,
-0.024678170680999756,
0.07096508890390396,
0.0266579482704401,
-0.0011260949540883303,
-0.0023231704253703356,
-0.038459885865449905,
-0.006204073783010244,
0.038060858845710754,
0.006695181597024202,
-0.030970489606261253,
0.014817645773291588,
0.025844551622867584,
-0.02661190740764141,
0.007608335465192795,
0.007220820523798466,
-0.008011196739971638,
-0.017633842304348946,
0.03756975382566452,
0.011226419359445572,
-0.0073090665973722935,
0.01465650089085102,
-0.018063561990857124,
0.04134514555335045,
0.002670399146154523,
-0.010696942918002605,
-0.010789026506245136,
-0.01708134636282921,
-0.023542484268546104,
-0.017925437539815903,
0.013106441125273705,
-0.006821795366704464,
-0.024846989661455154,
-0.010221182368695736,
-0.006372891832143068,
-0.04739191010594368,
-0.018401198089122772,
-0.035451848059892654,
-0.007715764921158552,
0.03385574743151665,
0.0045504216104745865,
0.036280594766139984,
0.016360031440854073,
-0.028514951467514038,
0.023987550288438797,
0.009538236074149609,
0.06918482482433319,
-0.03873613476753235,
0.0032420794013887644,
0.024371227249503136,
0.009469173848628998,
-0.007665887009352446,
-0.009246640838682652,
0.03336464241147041,
-0.050983134657144547,
0.025077195838093758,
-0.009845178574323654,
0.04570372775197029,
-0.015370141714811325,
-0.00915455725044012,
0.03379436209797859,
0.04539678245782852,
-0.039933208376169205,
0.003834861796349287,
-0.0144339669495821,
0.0045504216104745865,
-0.06126570701599121,
0.0034204896073788404,
0.004101518075913191,
0.048711761832237244,
-0.04508984088897705,
0.012085857801139355,
-0.002468968043103814,
-0.06270833313465118,
0.27944037318229675,
0.06832538545131683,
0.014786951243877411,
-0.001099237590096891,
0.015185976400971413,
0.03394783288240433,
-0.0024574578274041414,
-0.05439019575715065,
0.015116914175450802,
-0.014057963155210018,
0.010152120143175125,
0.007002124097198248,
0.0073627810925245285,
0.0002616204437799752,
0.002493907231837511,
0.022974640130996704,
-0.05970029905438423,
-0.016068436205387115,
0.01861605793237686,
-0.08391805738210678,
-0.01726551167666912,
0.008778553456068039,
0.014572091400623322,
0.009231293573975563,
0.0025034991558641195,
0.014963443391025066,
0.047453299164772034,
-0.02464747615158558,
-0.012362105771899223,
-0.002486233599483967,
-0.05420603230595589,
-0.03852127492427826,
0.0443531796336174,
-0.0450284518301487,
-0.01526271179318428,
-0.010175141505897045,
-0.018769528716802597,
-0.014618133194744587,
-0.011364542879164219,
-0.0010915639577433467,
0.003974904306232929,
-0.01493274886161089,
0.019199248403310776,
-0.01999729871749878,
-0.03655684366822243,
0.07194730639457703,
-0.0006095684366300702,
0.05598629638552666,
0.020856738090515137,
-0.06494901329278946,
0.04861968010663986,
-0.06335291266441345,
0.007474048063158989,
-0.035236988216638565,
-0.07802475988864899,
0.008387201465666294,
0.018186338245868683,
0.0014627724885940552,
0.034899353981018066,
-0.005854926537722349,
0.040976814925670624,
-0.01990521512925625,
-0.033149782568216324,
-0.030801672488451004,
0.005766680929809809,
0.06108153983950615,
0.01176356803625822,
0.05617046356201172,
-0.012078184634447098,
0.0059278253465890884,
0.016943221911787987,
-0.060375574976205826,
0.016267947852611542,
-0.00393269956111908,
0.033917136490345,
-0.03456171602010727,
-0.009070148691534996,
0.0011941978009417653,
-0.023189499974250793,
-0.022637004032731056,
0.01395820640027523,
-0.015232017263770103,
-0.023972202092409134,
0.01987452246248722,
0.047453299164772034,
0.06789566576480865,
0.004105354659259319,
-0.02008938230574131,
0.003188364440575242,
0.03422407805919647,
0.002576397964730859,
0.023020680993795395,
0.003023382741957903,
-0.010075384750962257,
-0.05939335748553276
] |
1206_25 | The atomic orbital model is nevertheless an approximation to the full quantum theory, which only recognizes many electron states. The predictions of line spectra are qualitatively useful but are not quantitatively accurate for atoms and ions other than those containing only one electron.
See also
Atomic electron configuration table
Wiswesser's rule
Condensed matter physics
Electron configuration
Energy level
Hund's rules
Molecular orbital
Quantum chemistry
Quantum chemistry computer programs
Solid state physics
Wave function collapse
Notes
References
External links
3D hydrogen orbitals on Wikimedia Commons
Guide to atomic orbitals
Covalent Bonds and Molecular Structure
Animation of the time evolution of an hydrogenic orbital
The Orbitron, a visualization of all common and uncommon atomic orbitals, from 1s to 7g
Grand table Still images of many orbitals
Atomic physics
Chemical bonding
Electron states
Quantum chemistry
Articles containing video clips | [
-0.02312140166759491,
-0.006506804376840591,
0.04337869584560394,
-0.009697641246020794,
-0.024066833779215813,
0.022565264254808426,
-0.012971898540854454,
-0.027695629745721817,
-0.004758448339998722,
0.06857170909643173,
0.0663471594452858,
-0.021494699642062187,
0.004177980124950409,
-0.026666775345802307,
-0.03250621631741524,
0.022551361471414566,
-0.012304534204304218,
0.014654213562607765,
-0.052916448563337326,
-0.012422713451087475,
0.0021567693911492825,
-0.007931905798614025,
-0.05839439854025841,
-0.01895037293434143,
-0.028182249516248703,
0.04652087017893791,
0.054028723388910294,
-0.001565004582516849,
0.024734199047088623,
0.028084924444556236,
0.014946185052394867,
-0.025415467098355293,
0.022940656170248985,
-0.02378876507282257,
0.0026207962073385715,
-0.006562418304383755,
0.0234689861536026,
-0.033257000148296356,
0.02213425748050213,
-0.05705966800451279,
0.061898063868284225,
-0.011498135514557362,
-0.006433811504393816,
-0.0018595835426822305,
-0.022342808544635773,
-0.037428028881549835,
0.00862707756459713,
-0.011275680735707283,
-0.003910338971763849,
-0.056030817329883575,
-0.0061731222085654736,
0.01468202006071806,
0.013375097885727882,
0.005898529198020697,
-0.040570203214883804,
-0.0352034792304039,
-0.030531927943229675,
0.003163029905408621,
-0.04460219666361809,
0.007271492853760719,
0.045047108083963394,
-0.02212035469710827,
-0.01967335119843483,
-0.0005035647773183882,
-0.021800575777888298,
0.03968038409948349,
-0.02687532640993595,
0.0372333824634552,
0.02207864448428154,
-0.025026170536875725,
0.015460612252354622,
-0.008800869807600975,
-0.0009297917713411152,
-0.0002832823374774307,
-0.052944254130125046,
-0.00809179525822401,
-0.0005809026188217103,
-0.02309359423816204,
-0.02516520582139492,
0.016002845019102097,
-0.00688567291945219,
-0.014987895265221596,
-0.01931186206638813,
0.008286443538963795,
-0.012568699195981026,
0.002839775290340185,
-0.026319188997149467,
0.03564839065074921,
0.004692406859248877,
-0.00813350547105074,
0.002580823842436075,
0.05733773857355118,
0.004525566007941961,
-0.028154442086815834,
0.0010227708844467998,
0.026972651481628418,
0.028460318222641945,
0.03826223313808441,
-0.006833535153418779,
0.03169981762766838,
0.012102934531867504,
0.06918346136808395,
0.014278820715844631,
0.02662506513297558,
-0.0530276745557785,
0.03342384099960327,
-0.008891242556273937,
0.02109150029718876,
-0.002049017697572708,
-0.056030817329883575,
0.03937450796365738,
-0.009558606892824173,
-0.03392436355352402,
-0.021592024713754654,
-0.05647572502493858,
0.03584303706884384,
0.03862372413277626,
0.013882572762668133,
0.028126634657382965,
-0.01622530072927475,
-0.022495746612548828,
0.028502028435468674,
0.05249934643507004,
0.016030652448534966,
0.02687532640993595,
0.017657354474067688,
-0.011644121259450912,
-0.0035836086608469486,
-0.032589636743068695,
-0.05010795593261719,
0.03904082626104355,
-0.010594412684440613,
-0.01222111377865076,
0.03703873232007027,
-0.04721604287624359,
0.04234984144568443,
0.0025582308880984783,
0.007243685889989138,
0.01623920351266861,
0.0008993780356831849,
0.039847224950790405,
-0.0021915279794484377,
0.012575650587677956,
0.07919392734766006,
0.00118700519669801,
0.05038602277636528,
0.011115791276097298,
0.015126929618418217,
-0.00007712058140896261,
0.007890195585787296,
-0.022245485335588455,
-0.03770609572529793,
0.0182552020996809,
0.02861325442790985,
-0.0715748518705368,
-0.02138347178697586,
-0.003083085175603628,
0.04832831770181656,
-0.0711299404501915,
-0.04307281970977783,
0.021564217284321785,
-0.024372709915041924,
0.019812384620308876,
0.01049708854407072,
-0.02103588730096817,
-0.01928405463695526,
-0.0630103349685669,
-0.01018426101654768,
-0.02376095950603485,
-0.009099793620407581,
-0.007167217321693897,
0.0009549917303957045,
0.01650336943566799,
0.05511318892240524,
0.004449096973985434,
0.012214161455631256,
0.06206490471959114,
-0.023927800357341766,
-0.04963523894548416,
-0.002780685666948557,
-0.020465847104787827,
-0.029836757108569145,
0.049134716391563416,
0.02104979008436203,
0.03183884918689728,
-0.0220925472676754,
-0.058171942830085754,
0.020535362884402275,
-0.03039289452135563,
-0.013437663204967976,
0.021911803632974625,
0.07507850974798203,
-0.0346195362508297,
0.03703873232007027,
0.002690313383936882,
-0.005130365025252104,
-0.07001766562461853,
0.055335644632577896,
-0.019881902262568474,
-0.030921224504709244,
0.0007625161670148373,
-0.0012261085212230682,
-0.04351773113012314,
0.01692047156393528,
-0.04237765073776245,
-0.002911030314862728,
0.008564512245357037,
0.04927374795079231,
-0.026152348145842552,
0.05166513845324516,
-0.010830770246684551,
-0.01119225937873125,
0.0027024787850677967,
-0.008196070790290833,
0.010935046710073948,
-0.0028727957978844643,
-0.019256247207522392,
0.03403559327125549,
-0.03242279589176178,
0.02969772182404995,
0.013826959766447544,
0.017073409631848335,
-0.03000359795987606,
0.04146002233028412,
0.0021550313103944063,
-0.013799152337014675,
0.0025825616903603077,
0.05861685425043106,
0.04515833407640457,
0.013604504056274891,
-0.01141471415758133,
0.02900255098938942,
-0.005470999050885439,
0.029892370104789734,
0.0038755806162953377,
0.02695874683558941,
0.030504122376441956,
0.03714996203780174,
0.015168639831244946,
-0.03161639720201492,
0.013034463860094547,
0.012964947149157524,
0.02512349560856819,
0.03512005880475044,
0.037428028881549835,
-0.03392436355352402,
-0.01363926287740469,
0.025651825591921806,
-0.024191964417696,
0.030448507517576218,
-0.05945105850696564,
0.05494634807109833,
0.05597520247101784,
-0.012798105366528034,
-0.03200569003820419,
-0.0012930188095197082,
0.0428781732916832,
0.006183549761772156,
-0.05516880378127098,
-0.05686502158641815,
0.007876291871070862,
0.02762611210346222,
0.003234284929931164,
-0.021911803632974625,
0.011804010719060898,
0.0566425658762455,
0.009753255173563957,
-0.0015371977351605892,
0.032617442309856415,
-0.050497252494096756,
-0.06462313234806061,
-0.034258048981428146,
-0.028126634657382965,
0.007014279719442129,
-0.027487076818943024,
0.013340339064598083,
-0.0011366052785888314,
-0.058783695101737976,
0.03873495012521744,
-0.027751242741942406,
-0.018519366160035133,
0.020187778398394585,
-0.028724482282996178,
0.018519366160035133,
-0.004129318054765463,
0.031227100640535355,
-0.002433100016787648,
0.057838261127471924,
-0.04429632052779198,
0.012846767902374268,
0.025624018162488937,
-0.08614563941955566,
0.02966991625726223,
-0.02591598965227604,
-0.0014251014217734337,
-0.02690313383936882,
0.007459189277142286,
-0.022982366383075714,
0.005088654812425375,
-0.010830770246684551,
-0.021883996203541756,
0.028223959729075432,
-0.02416415885090828,
-0.018880855292081833,
-0.0207161083817482,
0.04932936280965805,
-0.00844633299857378,
-0.006677121389657259,
-0.030559735372662544,
0.01618359051644802,
-0.022356713190674782,
0.021369569003582,
-0.007528706453740597,
0.039096441119909286,
-0.011101887561380863,
0.04615938290953636,
0.04307281970977783,
-0.0015545770293101668,
0.021272245794534683,
-0.06150876730680466,
-0.05344477668404579,
0.019464800134301186,
0.00023983413120731711,
-0.03870714455842972,
-0.02478981204330921,
0.03703873232007027,
-0.028807902708649635,
-0.07763674110174179,
0.008043133653700352,
-0.04596473276615143,
-0.009982661344110966,
0.03242279589176178,
-0.005133840721100569,
0.0482448972761631,
-0.04040336236357689,
-0.009746302850544453,
-0.021300051361322403,
-0.0022002174519002438,
0.03870714455842972,
0.03183884918689728,
0.03600987792015076,
-0.026458224281668663,
0.005425812676548958,
0.00017086010484490544,
-0.008974662981927395,
0.02620796300470829,
0.004664600361138582,
-0.018060553818941116,
-0.016419949010014534,
-0.0014581220457330346,
0.016364334151148796,
0.017031699419021606,
-0.012888478115200996,
0.015780391171574593,
0.036037687212228775,
0.01554403267800808,
-0.028807902708649635,
-0.041237566620111465,
-0.040153101086616516,
-0.01344461552798748,
-0.035314708948135376,
0.02490103989839554,
-0.00845328439027071,
0.014403951354324818,
-0.04251668229699135,
0.0018752248724922538,
0.0064164320938289165,
-0.0011861362727358937,
0.06050771847367287,
-0.03770609572529793,
0.013402904383838177,
-0.03595426678657532,
-0.02075781859457493,
0.010900287888944149,
0.010573557578027248,
-0.007382720243185759,
0.06440068036317825,
0.020146068185567856,
0.013701828196644783,
0.0006882196757942438,
0.01828300766646862,
-0.021939609199762344,
0.008703545667231083,
0.035370320081710815,
-0.010629170574247837,
0.021105404943227768,
-0.01828300766646862,
-0.033312615007162094,
0.01764344982802868,
-0.023691441863775253,
-0.031532976776361465,
-0.025637920945882797,
-0.01105322502553463,
-0.045074913650751114,
-0.038762759417295456,
-0.029447460547089577,
0.07090748101472855,
-0.010789060033857822,
0.019826289266347885,
-0.01123396959155798,
0.04348992183804512,
0.030476314947009087,
0.016336528584361076,
-0.010225971229374409,
-0.027834663167595863,
0.017699064686894417,
-0.03790074586868286,
0.07151923328638077,
0.014876668341457844,
0.00118700519669801,
-0.041571252048015594,
-0.013826959766447544,
-0.009906192310154438,
-0.023343855515122414,
0.03759486973285675,
-0.009433476254343987,
-0.018157877027988434,
0.02558230794966221,
-0.02659725770354271,
0.03562058135867119,
-0.03631575405597687,
0.00516164768487215,
-0.02039632946252823,
0.06579102575778961,
0.014125882647931576,
-0.039235472679138184,
0.01800493896007538,
-0.028084924444556236,
0.03787294030189514,
0.02099417708814144,
0.01654507964849472,
-0.018102264031767845,
-0.07079625874757767,
0.038484688848257065,
-0.05286083370447159,
-0.030893417075276375,
0.059506673365831375,
0.007598223630338907,
0.015099123120307922,
-0.04209958016872406,
0.008168264292180538,
0.02341337315738201,
0.0207161083817482,
0.014556889422237873,
-0.01227672677487135,
-0.032255955040454865,
-0.02549888752400875,
0.018839145079255104,
-0.009058083407580853,
-0.012179403565824032,
0.0586724653840065,
-0.04248887673020363,
0.0456310510635376,
-0.029085971415042877,
0.038512494415044785,
0.033229194581508636,
0.02826566994190216,
-0.04271133244037628,
0.00279632699675858,
0.039179861545562744,
0.0008867780561558902,
-0.02512349560856819,
0.018769627436995506,
-0.02099417708814144,
0.0002732892753556371,
0.038123201578855515,
-0.02583256922662258,
0.024984460324048996,
-0.007375768851488829,
-0.00008352918666787446,
0.02972552925348282,
0.0004857510211877525,
-0.016114072874188423,
-0.0014624668983742595,
0.027000457048416138,
-0.004556848667562008,
-0.020841239020228386,
-0.009217972867190838,
0.008161311969161034,
-0.026694582775235176,
-0.02622186578810215,
-0.0030743954703211784,
-0.005853343289345503,
-0.005404957570135593,
0.01722634769976139,
-0.024219771847128868,
-0.006927383132278919,
0.0016684114234521985,
-0.04104292020201683,
-0.020243391394615173,
-0.029197199270129204,
0.02481761947274208,
0.02964210882782936,
-0.029864564538002014,
-0.02972552925348282,
-0.02316311188042164,
-0.03556497022509575,
0.011859624646604061,
-0.00791105069220066,
0.009148456156253815,
0.019172826781868935,
0.028835710138082504,
-0.02864106185734272,
0.024595163762569427,
-0.0103232953697443,
0.03275647759437561,
-0.013493277132511139,
-0.00665279058739543,
0.011289583519101143,
0.032645247876644135,
-0.005950667429715395,
0.005582226440310478,
0.01760173961520195,
0.023899992927908897,
0.0026312237605452538,
-0.01660069264471531,
0.03904082626104355,
-0.02034071460366249,
-0.04932936280965805,
0.04551982507109642,
0.005172075238078833,
-0.029197199270129204,
0.01868620701134205,
0.027695629745721817,
-0.00864098034799099,
0.04312843456864357,
0.013389001600444317,
-0.06100824475288391,
0.0061209844425320625,
-0.04727165773510933,
0.00466112419962883,
-0.055752746760845184,
-0.02695874683558941,
-0.040598008781671524,
-0.019103311002254486,
-0.002780685666948557,
0.03142174705862999,
0.02445613034069538,
-0.025693535804748535,
-0.005582226440310478,
-0.028891323134303093,
-0.007778968196362257,
0.003642698284238577,
-0.017003891989588737,
-0.005464047193527222,
-0.007299299817532301,
-0.03714996203780174,
0.02590208686888218,
-0.05733773857355118,
-0.007097700145095587,
0.0014224945334717631,
-0.006016708444803953,
0.00982277188450098,
-0.006694500800222158,
0.013757442124187946,
0.01123396959155798,
-0.009384813718497753,
0.07496728748083115,
-0.02722291275858879,
-0.0013477635802701116,
0.003168243682011962,
0.021800575777888298,
-0.05995158106088638,
-0.021286148577928543,
0.06078578904271126,
-0.03450831025838852,
0.009794965386390686,
0.01758783683180809,
0.015780391171574593,
-0.02513739839196205,
-0.032645247876644135,
-0.0231074970215559,
-0.011136646382510662,
0.006409480236470699,
0.005276351235806942,
-0.06879416108131409,
-0.047049202024936676,
-0.030865611508488655,
-0.04977427423000336,
0.0009575986186973751,
0.013465470634400845,
-0.003746973816305399,
-0.05694844201207161,
-0.02241232618689537,
0.0055544194765388966,
-0.04451877623796463,
0.021494699642062187,
0.04857857897877693,
-0.017323670908808708,
-0.0044004349038004875,
0.008307298645377159,
0.028182249516248703,
-0.01591942459344864,
0.0454920157790184,
-0.03283989802002907,
0.026805808767676353,
0.0047271656803786755,
0.01628091372549534,
-0.03645478934049606,
-0.025012267753481865,
-0.025985507294535637,
0.051887594163417816,
0.030921224504709244,
0.02416415885090828,
0.06323279440402985,
0.042266421020030975,
-0.012026465497910976,
0.0394023172557354,
-0.00492876535281539,
-0.01928405463695526,
0.008557559922337532,
0.0022923278156667948,
0.010302440263330936,
-0.018394235521554947,
-0.02587427943944931,
0.013548891060054302,
-0.047438498586416245,
-0.006583273410797119,
0.03495321795344353,
-0.02242622897028923,
0.022857235744595528,
0.0482448972761631,
0.021925706416368484,
-0.049496203660964966,
-0.012575650587677956,
-0.01464030984789133,
-0.012318436987698078,
-0.007931905798614025,
-0.04212738573551178,
0.014946185052394867,
-0.027765145525336266,
-0.03417462483048439,
-0.026333093643188477,
-0.013298628851771355,
-0.012881525792181492,
-0.004150173161178827,
-0.017782485112547874,
0.002959692385047674,
-0.02145298942923546,
0.005915908608585596,
0.0898161455988884,
0.0014954875223338604,
-0.012026465497910976,
-0.056420110166072845,
-0.0033715814352035522,
-0.0020611833315342665,
-0.017031699419021606,
0.04307281970977783,
0.025415467098355293,
0.016823148354887962,
0.06323279440402985,
0.0035054017789661884,
0.01500179897993803,
0.017017796635627747,
0.004622889682650566,
0.031866658478975296,
0.007931905798614025,
-0.055752746760845184,
-0.006346914917230606,
0.034647341817617416,
0.028474221006035805,
0.040153101086616516,
-0.030281666666269302,
-0.003719167085364461,
0.013194353319704533,
-0.0005578750860877335,
-0.040208715945482254,
-0.06356647610664368,
-0.03386875241994858,
-0.0634552463889122,
-0.012311485596001148,
-0.02832128293812275,
-0.04034774750471115,
0.02858544886112213,
0.0203546192497015,
-0.008654884062707424,
-0.004383055958896875,
-0.04137660190463066,
0.029391847550868988,
-0.007994471117854118,
0.00020540143304970115,
0.026458224281668663,
0.04171028360724449,
-0.021925706416368484,
0.01622530072927475,
-0.013667070306837559,
-0.014431758783757687,
-0.017393188551068306,
0.014918378554284573,
0.0024417894892394543,
0.009384813718497753,
-0.03381313756108284,
0.028418608009815216,
-0.03211691975593567,
-0.01721244491636753,
0.023719249293208122,
-0.014793247915804386,
-0.004390007350593805,
0.018880855292081833,
-0.0022436657454818487,
0.04451877623796463,
-0.02445613034069538,
0.006812680047005415,
-0.009120648726820946,
-0.016072362661361694,
-0.017462706193327904,
-0.021953513845801353,
-0.010156454518437386,
0.051248036324977875,
-0.06078578904271126,
0.010622219182550907,
0.010684784501791,
0.012130741029977798,
-0.05313890427350998,
0.005457095801830292,
0.012339292094111443,
0.05475170165300369,
0.039513543248176575,
-0.020285101607441902,
-0.01327082235366106,
0.050552863627672195,
0.007062941323965788,
0.01226977538317442,
-0.002608630806207657,
-0.01033024676144123,
-0.021647637709975243,
-0.04785560071468353,
0.027681725099682808,
0.040180906653404236,
-0.016030652448534966,
-0.009023324586451054,
-0.04596473276615143,
0.03350726142525673,
-0.025804763659834862,
-0.0013286463217809796,
-0.012568699195981026,
-0.009509945288300514,
-0.0018439422128722072,
0.004643745254725218,
-0.038512494415044785,
0.0346195362508297,
0.057393353432416916,
-0.046354029327631,
0.008696594275534153,
-0.015126929618418217,
-0.05767142027616501,
0.015085219405591488,
-0.054028723388910294,
-0.03873495012521744,
-0.04652087017893791,
-0.02445613034069538,
-0.017504416406154633,
0.0077650644816458225,
-0.05967351421713829,
-0.0022958035115152597,
-0.010948949493467808,
0.0537506528198719,
0.0023635828401893377,
-0.03545374050736427,
-0.042600102722644806,
-0.001876962836831808,
-0.05789387598633766,
-0.002217596862465143,
-0.010559653863310814,
0.0032759953755885363,
-0.028223959729075432,
-0.05174855887889862,
0.022634781897068024,
0.007674692198634148,
-0.009871434420347214,
-0.01800493896007538,
-0.03300673887133598,
0.021592024713754654,
0.04702139273285866,
-0.01685095578432083,
-0.03890179097652435,
-0.02349679358303547,
-0.04437974467873573,
0.05550248548388481,
0.006569369696080685,
-0.025763051584362984,
0.03250621631741524,
0.03514786809682846,
0.04246107116341591,
-0.021188825368881226,
0.0036322707310318947,
0.015488418750464916,
0.027069974690675735,
-0.026778003200888634,
0.035370320081710815,
0.03962476924061775,
0.02448393777012825,
0.009092842228710651,
-0.029892370104789734,
0.027779050171375275,
0.021300051361322403,
0.020896852016448975,
0.0601184219121933,
0.03489760309457779,
-0.005008710082620382,
0.038484688848257065,
-0.031143678352236748,
-0.03256182745099068,
0.009190166369080544,
0.009092842228710651,
0.045714471489191055,
0.02936404012143612,
0.02246793918311596,
0.0013199567329138517,
0.007104652002453804,
0.011887431144714355,
0.013882572762668133,
0.0011279155733063817,
-0.019103311002254486,
0.023677539080381393,
0.00542928883805871,
0.031532976776361465,
-0.013590601272881031,
-0.018811337649822235,
-0.02866886928677559,
0.0007003851933404803,
0.030448507517576218,
-0.011421666480600834,
-0.0013747015036642551,
-0.0006195715395733714,
0.08419916033744812,
-0.013229112140834332,
-0.008390719071030617,
0.04830050840973854,
0.006920431274920702,
0.01400075200945139,
-0.01793542318046093,
0.03770609572529793,
-0.008481090888381004,
0.040208715945482254,
-0.03039289452135563,
-0.03790074586868286,
-0.02658335492014885,
0.04629841446876526,
-0.07630201429128647,
0.009377862326800823,
0.0017379284836351871,
-0.03756706416606903,
-0.03272866830229759,
-0.03314577415585518,
0.017017796635627747,
-0.04654867947101593,
0.0392632819712162,
0.053277935832738876,
-0.006586749106645584,
-0.0511368103325367,
0.02271820232272148,
0.005721260793507099,
0.016656307503581047,
0.05010795593261719,
0.007556513417512178,
-0.0053145852871239185,
0.08875948935747147,
0.034675151109695435,
0.019548220559954643,
-0.014570793136954308,
-0.005029565189033747,
-0.021536409854888916,
0.02823786251246929,
0.03003140538930893,
-0.02552669495344162,
0.02512349560856819,
-0.010246826335787773,
-0.007890195585787296,
-0.03698311746120453,
-0.0037991118151694536,
-0.01345156691968441,
-0.02618015557527542,
0.02549888752400875,
0.011491183191537857,
-0.016419949010014534,
0.016058459877967834,
0.012353195808827877,
-0.0037226430140435696,
0.056725986301898956,
-0.022481843829154968,
-0.02732023596763611,
-0.026346996426582336,
-0.0372333824634552,
-0.006371246185153723,
0.044018253684043884,
0.0007720747380517423,
0.020771721377968788,
-0.015238157473504543,
0.020771721377968788,
-0.01722634769976139,
-0.021981319412589073,
-0.0210080798715353,
-0.011685831472277641,
0.005331964697688818,
0.03806758671998978,
0.05839439854025841,
-0.0008515850058756769,
-0.050191376358270645,
-0.0016605907585471869,
0.021119307726621628,
0.06351085752248764,
-0.03517567366361618,
0.04691016674041748,
0.023343855515122414,
0.005669123027473688,
-0.014765440486371517,
0.05422336980700493,
0.02488713711500168,
-0.05419556424021721,
0.03662163019180298,
-0.03270086273550987,
0.012304534204304218,
-0.0114077627658844,
0.006211356725543737,
0.0593954436480999,
0.01693437620997429,
-0.04685455188155174,
-0.008307298645377159,
0.022537456825375557,
-0.017351478338241577,
-0.05622546374797821,
0.04774437099695206,
-0.0482448972761631,
0.03495321795344353,
-0.027431463822722435,
0.0227460078895092,
0.006840486545115709,
-0.06873854994773865,
0.2246793955564499,
0.06790434569120407,
0.016155783087015152,
0.009301393292844296,
0.029419654980301857,
0.01895037293434143,
0.01860278658568859,
-0.04443535581231117,
0.034313660115003586,
-0.025999410077929497,
-0.03837346285581589,
-0.015293771401047707,
-0.00689262431114912,
-0.0026451272424310446,
-0.010455378331243992,
0.05761580541729927,
-0.05728212371468544,
-0.03042070008814335,
0.003366367658600211,
-0.05978474020957947,
-0.029920177534222603,
-0.04649306461215019,
0.03108806535601616,
0.021619830280542374,
-0.008036181330680847,
0.020173873752355576,
0.06256542354822159,
-0.012394906021654606,
0.007667740806937218,
0.0018508938373997808,
-0.025985507294535637,
-0.039179861545562744,
0.04348992183804512,
-0.008015326224267483,
-0.033312615007162094,
-0.004445621278136969,
-0.020910756662487984,
-0.007208927534520626,
0.008481090888381004,
-0.0007438334287144244,
0.009593365713953972,
0.008300346322357655,
0.040848273783922195,
-0.01728196069598198,
-0.027348043397068977,
0.06067455932497978,
-0.024748101830482483,
0.02584647387266159,
0.019172826781868935,
-0.06985082477331161,
0.04029213637113571,
-0.07024011760950089,
0.018797434866428375,
-0.02584647387266159,
-0.05413994938135147,
-0.01413978636264801,
0.03720557317137718,
-0.02861325442790985,
-0.00429963506758213,
0.0054014818742871284,
0.032978933304548264,
0.004167552571743727,
-0.03545374050736427,
0.006621507462114096,
0.015585742890834808,
0.024414420127868652,
0.024956652894616127,
0.0677931159734726,
0.03834565356373787,
0.003920766990631819,
-0.006235687527805567,
-0.020146068185567856,
-0.010476233437657356,
0.026319188997149467,
0.01122006680816412,
-0.06718136370182037,
-0.005648267921060324,
0.019617736339569092,
-0.025332046672701836,
0.012297581881284714,
-0.003680932568386197,
-0.01468202006071806,
-0.06328840553760529,
0.021953513845801353,
0.0421551950275898,
0.03359068185091019,
-0.003091774880886078,
-0.04374018684029579,
0.012102934531867504,
0.029947984963655472,
0.03684408590197563,
0.023329952731728554,
0.03890179097652435,
-0.02377486228942871,
-0.07012889534235
] |
1207_0 | Amino acids are organic compounds that contain amino () and carboxylate functional groups, along with a side chain (R group) specific to each amino acid. The elements present in every amino acid are carbon (C), hydrogen (H), oxygen (O), and nitrogen (N); in addition sulfur (S) is present in the side chains of cysteine and methionine, and selenium (Se) in the less common amino acid selenocysteine. More than 500 naturally occurring amino acids are known to constitute monomer units of peptides, including proteins, (though only 20 appear in the genetic code, plus selenocysteine, which is encoded in a special way).
Amino acids are formally named by the IUPAC-IUBMB Joint Commission on Biochemical Nomenclature in terms of the fictitious "neutral" structure shown in the illustration. For example, the systematic name of alanine is 2-aminopropanoic acid, based on the formula . The Commission justified this approach as follows:
The systematic names and formulas given refer to hypothetical forms in which amino groups are unprotonated and carboxyl groups are undissociated. This convention is useful to avoid various nomenclatural problems but should not be taken to imply that these structures represent an appreciable fraction of the amino-acid molecules.
They can be classified according to the locations of the core structural functional groups, as alpha- (α-), beta- (β-), gamma- (γ-) or delta- (δ-) amino acids; other categories relate to polarity, ionization, and side chain group type (aliphatic, acyclic, aromatic, containing hydroxyl or sulfur, etc.). In the form of proteins, amino acid residues form the second-largest component (water is the largest) of human muscles and other tissues. Beyond their role as residues in proteins, amino acids participate in a number of processes such as neurotransmitter transport and biosynthesis. | [
-0.031670812517404556,
-0.03423796221613884,
0.021332453936338425,
-0.004635518882423639,
-0.024722766131162643,
0.06730396300554276,
0.018360700458288193,
-0.010924337431788445,
0.011328942142426968,
0.04830147698521614,
-0.007659593131393194,
-0.06685750186443329,
-0.003543782513588667,
-0.05326835438609123,
-0.009794233366847038,
0.010422068648040295,
-0.04294394701719284,
-0.023369431495666504,
-0.020383724942803383,
-0.025643590837717056,
0.03088950552046299,
-0.015319186262786388,
-0.03434957563877106,
0.011454509571194649,
0.004380896687507629,
0.02415073849260807,
0.03423796221613884,
0.03753060847520828,
0.022002145648002625,
0.05937928706407547,
-0.007527050096541643,
-0.00032765165087766945,
0.004907580558210611,
-0.06077447533607483,
-0.02352290228009224,
-0.037391092628240585,
0.03314971551299095,
-0.01716083660721779,
-0.00730381952598691,
-0.013854236342012882,
0.05039426311850548,
-0.04927811026573181,
-0.006756207440048456,
-0.011196399107575417,
-0.031335968524217606,
0.015347089618444443,
0.01573774218559265,
-0.017286403104662895,
-0.029103662818670273,
-0.012724132277071476,
0.031140640377998352,
0.017286403104662895,
0.04302765801548958,
0.032759059220552444,
-0.031754523515701294,
-0.04034889489412308,
0.03248002380132675,
0.00373562122695148,
-0.05630986765027046,
0.0076316893100738525,
-0.0033990314695984125,
-0.02180681936442852,
0.018681593239307404,
-0.02212771214544773,
0.015068051405251026,
0.032759059220552444,
0.011328942142426968,
0.026438850909471512,
-0.01774681732058525,
-0.007757256273180246,
-0.054496120661497116,
0.008106053806841373,
0.00479247746989131,
-0.0356331504881382,
-0.0448693111538887,
0.017732864245772362,
0.04394848272204399,
-0.02116503193974495,
-0.02487623691558838,
-0.013875164091587067,
-0.04358573630452156,
0.03619122877717018,
0.024401873350143433,
0.029996585100889206,
-0.03962339460849762,
-0.015933070331811905,
-0.05499839037656784,
0.0054726325906813145,
0.021025512367486954,
0.015667984262108803,
-0.00688177440315485,
0.055165812373161316,
-0.035075075924396515,
-0.05530533194541931,
0.04472979158163071,
-0.005354041699320078,
-0.0002533141814637929,
0.006142323836684227,
-0.01392399612814188,
-0.014014683663845062,
0.042776525020599365,
0.008657153695821762,
-0.041437141597270966,
0.05776086449623108,
-0.0421905443072319,
0.04704580456018448,
-0.006201619282364845,
0.021904483437538147,
-0.03211727365851402,
-0.007324747275561094,
0.0198256503790617,
-0.029773354530334473,
-0.018849017098546028,
-0.06378808617591858,
-0.0010542403906583786,
0.0496966652572155,
-0.014084442518651485,
0.0638997033238411,
-0.016281867399811745,
0.007387530989944935,
0.013045025989413261,
-0.02850373089313507,
0.01678413525223732,
0.03669349476695061,
-0.010477876290678978,
0.012124201282858849,
-0.0051168594509363174,
0.03261954337358475,
-0.0476875938475132,
0.025308746844530106,
0.0012704948894679546,
-0.021276647225022316,
-0.0016184203559532762,
0.05474725365638733,
0.0008144421735778451,
-0.012807844206690788,
-0.01810956560075283,
0.05469144880771637,
0.018974583595991135,
-0.031670812517404556,
0.03794916719198227,
0.013526367023587227,
-0.021290598437190056,
0.05474725365638733,
-0.014928532764315605,
0.04464608058333397,
-0.00385421235114336,
-0.018207229673862457,
0.015556368045508862,
0.007840967737138271,
-0.03928855061531067,
0.004060002975165844,
0.00025963614461943507,
0.009780282154679298,
-0.0401814728975296,
0.014635542407631874,
-0.004813405219465494,
0.019658226519823074,
-0.004063490778207779,
-0.026634177193045616,
0.0067248158156871796,
-0.03432167321443558,
0.02551802434027195,
-0.019923312589526176,
-0.04400429129600525,
0.014356505125761032,
-0.0314754843711853,
-0.00545170484110713,
-0.017635202035307884,
-0.018263036385178566,
-0.012863651849329472,
0.00570632703602314,
-0.03552153706550598,
0.021890530362725258,
0.003829796565696597,
0.039428070187568665,
0.07444733381271362,
-0.008482755161821842,
0.01512385904788971,
0.011321966536343098,
-0.007056173402816057,
0.0009522171458229423,
-0.02141616679728031,
0.04238587245345116,
0.021318502724170685,
0.014140250161290169,
-0.04124181717634201,
0.017007365822792053,
-0.010463925078511238,
-0.021248742938041687,
0.025057611986994743,
0.048524707555770874,
-0.006717839743942022,
0.0006208595586940646,
-0.06719234585762024,
0.006759695243090391,
-0.0649600476026535,
0.06568554043769836,
-0.030275622382760048,
-0.024555344134569168,
-0.012856675311923027,
0.016630664467811584,
-0.012933410704135895,
-0.020899945870041847,
-0.010819698683917522,
0.046152886003255844,
-0.004558783024549484,
0.06607619673013687,
0.007931655272841454,
0.045148346573114395,
0.027345724403858185,
-0.003045002231374383,
0.014454168267548084,
0.017872383818030357,
-0.029633834958076477,
-0.03312180936336517,
-0.02615981176495552,
0.002127664629369974,
-0.0421905443072319,
-0.03747480362653732,
-0.01809561438858509,
0.008273476734757423,
-0.006798062939196825,
0.029689643532037735,
0.009612859226763248,
0.0008371139992959797,
0.03387521207332611,
0.013100833632051945,
0.014551831409335136,
-0.008364164270460606,
0.010526708327233791,
0.027680568397045135,
-0.010701106861233711,
-0.0009966888464987278,
-0.011001072824001312,
0.007122444920241833,
0.043808966875076294,
0.028406068682670593,
0.055193714797496796,
0.01089643407613039,
0.019727986305952072,
-0.02316015399992466,
0.06367646902799606,
-0.012521830387413502,
0.01073598675429821,
0.009961656294763088,
-0.03794916719198227,
-0.013365919701755047,
-0.039735011756420135,
0.05937928706407547,
-0.029271084815263748,
0.038088686764240265,
0.06462519615888596,
0.012180008925497532,
0.0010516244219616055,
-0.05072910711169243,
0.04258119687438011,
0.015514512546360493,
-0.047464363276958466,
-0.03351246193051338,
-0.008803648874163628,
0.002947338856756687,
0.01276598870754242,
0.01979774609208107,
0.049166493117809296,
0.04369734972715378,
0.013658910058438778,
0.04221845045685768,
0.0005541520076803863,
-0.01647719368338585,
-0.0696478858590126,
-0.04107439145445824,
-0.042469583451747894,
-0.014168154448270798,
-0.006773647386580706,
-0.02918737381696701,
0.019630322232842445,
-0.024346064776182175,
0.037139955908060074,
0.008378115482628345,
-0.02720620483160019,
-0.020718570798635483,
-0.05075700953602791,
0.010463925078511238,
0.001166727626696229,
0.04927811026573181,
-0.015849357470870018,
0.02014654316008091,
-0.032340504229068756,
0.009047807194292545,
-0.05831894278526306,
0.0030066343024373055,
-0.0012818308314308524,
-0.04576222971081734,
-0.005845846142619848,
0.029326893389225006,
0.02650860883295536,
-0.004293696954846382,
-0.011663787998259068,
-0.0044332160614430904,
-0.01611444354057312,
-0.010973169468343258,
-0.04403219744563103,
0.0028409555088728666,
-0.056170348078012466,
0.05742602050304413,
-0.02518317848443985,
0.021290598437190056,
0.01206141710281372,
0.005748182535171509,
0.0328148677945137,
0.027638712897896767,
0.02482043020427227,
-0.0002653040864970535,
-0.030331430956721306,
0.010177911259233952,
0.03083369880914688,
0.05463564023375511,
0.01374959759414196,
-0.05764925107359886,
-0.041409239172935486,
-0.016295818611979485,
-0.009082687087357044,
-0.06077447533607483,
0.014872725121676922,
0.023020634427666664,
0.007966535165905952,
-0.07238245755434036,
0.01813746988773346,
-0.022616028785705566,
-0.041799891740083694,
0.041799891740083694,
0.02952221967279911,
0.03613542020320892,
0.007408458739519119,
-0.006519025191664696,
0.014719254337251186,
0.04057212546467781,
-0.016198156401515007,
-0.01074296236038208,
0.03490765392780304,
-0.00924313347786665,
0.018276989459991455,
0.027345724403858185,
0.004816893488168716,
0.07813064008951187,
-0.002701436635106802,
0.018374651670455933,
-0.01558427233248949,
0.009445436298847198,
-0.020676715299487114,
0.04771549627184868,
0.01570983976125717,
0.026383042335510254,
-0.0015163971111178398,
0.034070540219545364,
0.01817932538688183,
-0.010010488331317902,
-0.028768816962838173,
0.029968680813908577,
-0.015570320188999176,
0.016700424253940582,
-0.036470264196395874,
-0.05167783796787262,
-0.007554953917860985,
-0.00419603381305933,
-0.020551148802042007,
0.0019794257823377848,
-0.008440899662673473,
-0.048859551548957825,
0.05647728964686394,
0.020411629229784012,
-0.004684350453317165,
-0.0024764621630311012,
-0.011566124856472015,
-0.009494267404079437,
0.06479262560606003,
0.021988194435834885,
0.04763178527355194,
-0.05045006796717644,
0.012877603061497211,
0.017216645181179047,
0.022560222074389458,
0.004788989666849375,
0.037418995052576065,
0.04927811026573181,
-0.028043318539857864,
0.014579735696315765,
-0.035716861486434937,
0.003170569194480777,
-0.004726205952465534,
-0.039735011756420135,
-0.0053366017527878284,
-0.014384408481419086,
-0.01261251699179411,
-0.011733547784388065,
0.02484833262860775,
-0.014084442518651485,
-0.0066445921547710896,
-0.003725157119333744,
0.02784799225628376,
0.010826674290001392,
0.005186618771404028,
0.012326503172516823,
0.01307293027639389,
0.012863651849329472,
-0.038786280900239944,
0.017007365822792053,
0.02081623487174511,
0.014230937696993351,
-0.011607980355620384,
-0.0016907958779484034,
-0.004304161295294762,
-0.03289857879281044,
0.007073613349348307,
0.008266500197350979,
-0.021206887438893318,
-0.014816917479038239,
0.0020456972997635603,
0.009026879444718361,
0.00019162062380928546,
-0.010680179111659527,
-0.0003065057971980423,
0.028113078325986862,
0.008336259983479977,
-0.022309087216854095,
0.018723448738455772,
-0.015919117256999016,
0.04975247383117676,
0.02579706348478794,
0.0042099859565496445,
-0.035382017493247986,
-0.025699399411678314,
-0.0010237206006422639,
-0.02448558434844017,
-0.00019281961431261152,
0.03116854466497898,
-0.028447924181818962,
0.04291604459285736,
-0.025099467486143112,
0.0002945158921647817,
-0.01806771010160446,
-0.00925010908395052,
-0.004066978581249714,
0.018653690814971924,
-0.03596799820661545,
0.028406068682670593,
0.03365198150277138,
-0.002401470672339201,
-0.014189082197844982,
0.02885252796113491,
-0.04065583646297455,
0.030749987810850143,
-0.004485535901039839,
-0.02416468970477581,
0.02823864482343197,
-0.023634517565369606,
-0.002907227026298642,
-0.020913897082209587,
-0.00940358079969883,
-0.013791453093290329,
-0.02921527810394764,
0.01073598675429821,
0.0030641860794276,
-0.014482071623206139,
0.0799722895026207,
-0.064569391310215,
0.01545870490372181,
0.046208690851926804,
0.02649465762078762,
-0.00638299435377121,
-0.059546709060668945,
-0.0115870526060462,
-0.02549012005329132,
0.0463482104241848,
-0.040041953325271606,
-0.02046743780374527,
0.020927850157022476,
-0.03524249792098999,
-0.04389267787337303,
-0.01877925731241703,
0.00925010908395052,
0.03552153706550598,
-0.06758300215005875,
0.046180788427591324,
-0.0336240790784359,
0.010777842253446579,
0.03320552036166191,
-0.05508210137486458,
-0.0342937707901001,
0.0007438106695190072,
-0.0023456630297005177,
0.016937606036663055,
0.007443338632583618,
-0.009501243941485882,
-0.05497048422694206,
0.0005393281462602317,
-0.015444752760231495,
-0.02452743984758854,
-0.00906873494386673,
0.11200585216283798,
-0.017021317034959793,
-0.05564017593860626,
-0.012675301171839237,
-0.008587393909692764,
0.02346709556877613,
-0.00611790781840682,
0.03432167321443558,
-0.007813063450157642,
-0.004328576847910881,
0.009103614836931229,
0.03122435137629509,
0.006191155407577753,
-0.022420702502131462,
0.042106833308935165,
0.020286062732338905,
0.047520171850919724,
0.048468898981809616,
-0.0361633226275444,
0.0021206887904554605,
0.03493555635213852,
-0.028392115607857704,
-0.010352309793233871,
0.04704580456018448,
-0.02682950347661972,
0.008301380090415478,
0.009961656294763088,
-0.049529243260622025,
-0.014251865446567535,
-0.02553197741508484,
0.037028342485427856,
-0.026104005053639412,
0.0008235980640165508,
-0.07690287381410599,
0.03700043633580208,
0.002384030958637595,
0.03633074834942818,
0.018360700458288193,
-0.01910015009343624,
-0.04205102473497391,
-0.02554592862725258,
0.019546611234545708,
0.008915264159440994,
-0.024666959419846535,
-0.02788984775543213,
-0.022964827716350555,
-0.00754100177437067,
0.041437141597270966,
-0.05898863077163696,
-0.02645280212163925,
0.02957802824676037,
0.019407091662287712,
0.04654353857040405,
0.0012338710948824883,
-0.04266490787267685,
-0.02077437937259674,
-0.00015466989134438336,
0.04869212955236435,
0.0014919813256710768,
0.04908278211951256,
-0.027708472684025764,
0.0456785187125206,
-0.012159080244600773,
-0.013707741163671017,
0.04964086040854454,
0.020216302946209908,
0.008517635054886341,
-0.011314990930259228,
0.049194399267435074,
0.01558427233248949,
-0.06384389102458954,
0.006529489066451788,
0.035744767636060715,
-0.017216645181179047,
-0.006090004462748766,
-0.0443391390144825,
-0.022071905434131622,
-0.0375027060508728,
-0.05776086449623108,
0.04810614883899689,
-0.017872383818030357,
-0.008231621235609055,
-0.0237740371376276,
-0.0009539611637592316,
0.05173364281654358,
-0.06406712532043457,
0.025336649268865585,
0.07204761356115341,
0.02447163127362728,
-0.025657543912529945,
0.05095233768224716,
0.004101858474314213,
-0.006745743565261364,
-0.043502021580934525,
0.011140592396259308,
0.022350942716002464,
-0.020955752581357956,
0.002921178936958313,
-0.040125664323568344,
-0.043753158301115036,
-0.00855949055403471,
0.007924678735435009,
0.020048879086971283,
0.018849017098546028,
0.044841405004262924,
0.02412283420562744,
-0.017202692106366158,
-0.007220108062028885,
0.06110931932926178,
-0.01605863682925701,
0.018723448738455772,
0.04171618074178696,
-0.028378164395689964,
-0.009347773157060146,
0.010289525613188744,
0.018988534808158875,
-0.018235132098197937,
-0.01777471974492073,
0.05611453950405121,
0.01022674236446619,
-0.0190861988812685,
0.03317761793732643,
0.004722718149423599,
-0.0356331504881382,
-0.019741937518119812,
0.0010699363192543387,
0.01845836266875267,
-0.004300673026591539,
-0.008071173913776875,
-0.03443329036235809,
0.01649114489555359,
-0.04489721357822418,
-0.026759743690490723,
-0.005957460962235928,
0.0017413714667782187,
0.01141962967813015,
-0.008768768981099129,
-0.019309429451823235,
-0.0032473045866936445,
-0.03141967952251434,
0.051203470677137375,
-0.020551148802042007,
-0.021597540006041527,
0.007610761094838381,
0.048161957412958145,
-0.002377054886892438,
-0.03231259807944298,
0.03418215364217758,
-0.0198256503790617,
0.010184886865317822,
-0.019393140450119972,
0.04453446343541145,
0.010854577645659447,
-0.021988194435834885,
-0.03633074834942818,
0.03181033208966255,
0.04065583646297455,
-0.026117956265807152,
-0.0045134397223591805,
0.019295478239655495,
0.021667299792170525,
0.01844441145658493,
0.015193618834018707,
-0.03465651720762253,
0.047771304845809937,
0.01946290023624897,
-0.002915946999564767,
-0.01983960159122944,
0.01243114285171032,
-0.07171276211738586,
-0.01289853174239397,
-0.02655046433210373,
-0.05204058438539505,
0.008154885843396187,
0.011991658248007298,
-0.018960632383823395,
0.020327918231487274,
-0.05910024791955948,
0.0328148677945137,
0.022323040291666985,
0.0275270976126194,
-0.021039465442299843,
0.03253582864999771,
-0.026117956265807152,
-0.020620908588171005,
-0.02688531018793583,
0.0037670128513127565,
-0.04001404717564583,
0.025964485481381416,
-0.06339742988348007,
-0.012989218346774578,
0.008113029412925243,
0.012452070601284504,
-0.02116503193974495,
0.010847602039575577,
-0.032759059220552444,
-0.017579393461346626,
-0.025992389768362045,
0.04193941131234169,
0.005566807929426432,
0.052849795669317245,
0.02821074053645134,
-0.022030049934983253,
0.003562966361641884,
0.036749303340911865,
-0.03485184535384178,
-0.05190106853842735,
0.040041953325271606,
0.038814183324575424,
-0.03998614475131035,
-0.0017239316366612911,
-0.05368690937757492,
0.03725157305598259,
-0.07785160094499588,
-0.029996585100889206,
-0.02186262607574463,
0.022309087216854095,
0.06551811844110489,
0.0013306624023243785,
0.006634128279983997,
0.07707029581069946,
0.013512414880096912,
-0.046180788427591324,
0.038423530757427216,
-0.019714035093784332,
0.017035270109772682,
-0.0316150039434433,
0.021960290148854256,
-0.04964086040854454,
-0.031001120805740356,
-0.03395892307162285,
-0.02084413729608059,
-0.020258158445358276,
-0.010484852828085423,
0.02717830054461956,
-0.014551831409335136,
0.01358217466622591,
-0.019909361377358437,
-0.02285321243107319,
-0.03379150107502937,
-0.008273476734757423,
0.027973558753728867,
-0.046766769140958786,
-0.010791794396936893,
-0.051873162388801575,
-0.055528562515974045,
-0.02050929330289364,
-0.03889789804816246,
-0.029801256954669952,
0.0237740371376276,
-0.008664129301905632,
-0.03582847863435745,
-0.040153566747903824,
-0.0368330143392086,
0.023941459134221077,
-0.016351627185940742,
0.011726572178304195,
-0.0322846956551075,
-0.040097758173942566,
-0.003843748476356268,
-0.014719254337251186,
-0.036386553198099136,
-0.04869212955236435,
0.0037425970658659935,
-0.020955752581357956,
-0.01649114489555359,
-0.030080296099185944,
0.027262011542916298,
0.010987120680510998,
0.03554943948984146,
-0.024346064776182175,
-0.035465728491544724,
-0.011482413858175278,
0.011112688109278679,
0.035744767636060715,
-0.02216956950724125,
-0.042413774877786636,
-0.03091740980744362,
0.006930605974048376,
-0.025615688413381577,
0.00730381952598691,
-0.019351284950971603,
0.02815493382513523,
0.01777471974492073,
-0.02949431538581848,
-0.016895750537514687,
0.016602760180830956,
0.05550065636634827,
-0.0014466375578194857,
0.03755851462483406,
0.019323380663990974,
-0.0001958715874934569,
-0.014551831409335136,
-0.04389267787337303,
0.006442289799451828,
-0.017997950315475464,
0.04157666116952896,
-0.0004163770063314587,
-0.01243811845779419,
-0.007150348741561174,
0.029047856107354164,
0.006079540122300386,
-0.015877261757850647,
-0.013547294773161411,
0.007750280201435089,
0.02385774813592434,
0.01914200559258461,
-0.004795965738594532,
0.0022462557535618544,
0.029326893389225006,
-0.03451700136065483,
-0.007513097953051329,
-0.0031880091410130262,
-0.006274866871535778,
0.009361724369227886,
0.01008722372353077,
0.003979779314249754,
-0.011956778354942799,
-0.015974925830960274,
0.008629250340163708,
0.012479973956942558,
0.02247651107609272,
0.02589472569525242,
-0.013728668913245201,
-0.0034129833802580833,
0.07545187324285507,
-0.0275270976126194,
0.04288813844323158,
0.04400429129600525,
-0.03451700136065483,
0.0053052096627652645,
-0.029438508674502373,
0.012724132277071476,
0.02988496981561184,
0.061276745051145554,
0.029745450243353844,
-0.04472979158163071,
-0.07321956753730774,
0.03870256990194321,
-0.0190861988812685,
0.015891212970018387,
0.036414459347724915,
-0.005511000286787748,
-0.028713010251522064,
-0.01605863682925701,
0.035465728491544724,
-0.047827113419771194,
0.02684345468878746,
0.02885252796113491,
0.002978730481117964,
-0.000006792013664380647,
0.0415208525955677,
-0.024625103920698166,
0.03390311822295189,
0.04428333044052124,
0.04403219744563103,
-0.026592321693897247,
0.04090696945786476,
0.027931703254580498,
0.01877925731241703,
0.018974583595991135,
0.004659934435039759,
-0.01174749992787838,
-0.07070823013782501,
-0.023369431495666504,
-0.04060002788901329,
0.011628908105194569,
-0.013533342629671097,
-0.008461827412247658,
-0.0011737035820260644,
0.05976993963122368,
-0.02486228570342064,
-0.04662724956870079,
0.04191150516271591,
0.020048879086971283,
0.011042928323149681,
0.0448693111538887,
0.00920825358480215,
0.049529243260622025,
0.025113418698310852,
0.0026944605633616447,
-0.012312551960349083,
-0.022713692858815193,
-0.015974925830960274,
-0.021737059578299522,
0.011663787998259068,
-0.04369734972715378,
-0.017900288105010986,
0.027331771329045296,
-0.004611102864146233,
-0.02822469361126423,
0.02148592472076416,
0.0042657931335270405,
-0.05142670124769211,
-0.00024023427977226675,
0.0028514196164906025,
0.03753060847520828,
0.005402873270213604,
-0.04793872684240341,
-0.01176145114004612,
0.03259163722395897,
0.023076443001627922,
-0.03554943948984146,
0.058542169630527496,
0.011866090819239616,
0.010526708327233791,
0.012033513747155666,
-0.014970388263463974,
-0.0030467461328953505,
0.012807844206690788,
0.009096638299524784,
-0.04799453541636467,
0.007554953917860985,
-0.017328258603811264,
-0.04230216145515442,
0.07573091238737106,
0.054886773228645325,
-0.010303477756679058,
-0.002863627392798662,
-0.005967925302684307,
-0.007757256273180246,
-0.05271027609705925,
0.03287067636847496,
-0.016881799325346947,
-0.006027220748364925,
-0.020244207233190536,
-0.03312180936336517,
0.0712663009762764,
-0.04196731373667717,
0.22590915858745575,
0.09492872655391693,
0.049166493117809296,
0.007534025702625513,
0.005444728769361973,
0.045483194291591644,
0.01608654111623764,
-0.025643590837717056,
0.013791453093290329,
0.006267890799790621,
0.027945654466748238,
0.01741197146475315,
0.009668666869401932,
0.01672832854092121,
0.009459388442337513,
0.04894326254725456,
-0.0443391390144825,
0.02682950347661972,
-0.02754105068743229,
-0.02748524211347103,
-0.012968290597200394,
-0.01876530423760414,
-0.0009147214004769921,
0.007987462915480137,
0.006037684623152018,
-0.03931645303964615,
0.03211727365851402,
-0.0005890317843295634,
-0.008203716948628426,
-0.02286716364324093,
0.004405312240123749,
-0.019239669665694237,
0.06334162503480911,
-0.014677398838102818,
-0.02448558434844017,
-0.018025854602456093,
0.020034927874803543,
-0.03725157305598259,
-0.023648470640182495,
0.0278619434684515,
-0.03853514790534973,
-0.01570983976125717,
0.022406751289963722,
-0.04341831058263779,
-0.014858772978186607,
0.03365198150277138,
-0.06032801419496536,
0.04255329445004463,
0.0388420894742012,
-0.064569391310215,
0.01847231574356556,
-0.05335206538438797,
-0.01227069552987814,
-0.029354797676205635,
-0.049864090979099274,
-0.03594009205698967,
0.015528464689850807,
-0.027750328183174133,
-0.008594370447099209,
0.012298599816858768,
0.038395628333091736,
0.024597199633717537,
-0.01976984180510044,
0.004747133702039719,
-0.010366261936724186,
0.03384730964899063,
0.01951870694756508,
0.07422410696744919,
-0.03130806237459183,
-0.02814098261296749,
-0.016030732542276382,
-0.06864334642887115,
-0.0035525024868547916,
-0.01845836266875267,
0.04559480771422386,
-0.00462505454197526,
-0.024611150845885277,
0.037809647619724274,
0.032731156796216965,
-0.03680511191487312,
-0.0013925740495324135,
-0.012786916457116604,
-0.048468898981809616,
-0.0022340479772537947,
0.08443690091371536,
0.05837474763393402,
-0.005514488555490971,
-0.02209980972111225,
-0.008510658517479897,
-0.005326137878000736,
0.02650860883295536,
-0.004335552919656038,
0.03568895906209946,
-0.031754523515701294,
-0.024750670418143272
] |
1207_1 | History
The first few amino acids were discovered in the early 1900s. In 1806, French chemists Louis-Nicolas Vauquelin and Pierre Jean Robiquet isolated a compound from asparagus that was subsequently named asparagine, the first amino acid to be discovered. Cystine was discovered in 1810, although its monomer, cysteine, remained undiscovered until 1884. Glycine and leucine were discovered in 1820. The last of the 20 common amino acids to be discovered was threonine in 1935 by William Cumming Rose, who also determined the essential amino acids and established the minimum daily requirements of all amino acids for optimal growth.
The unity of the chemical category was recognized by Wurtz in 1865, but he gave no particular name to it. The first use of the term "amino acid" in the English language dates from 1898, while the German term, , was used earlier. Proteins were found to yield amino acids after enzymatic digestion or acid hydrolysis. In 1902, Emil Fischer and Franz Hofmeister independently proposed that proteins are formed from many amino acids, whereby bonds are formed between the amino group of one amino acid with the carboxyl group of another, resulting in a linear structure that Fischer termed "peptide".
General structure
In the structure shown at the top of the page R represents a side chain specific to each amino acid. The carbon atom next to the carboxyl group is called the α–carbon. Amino acids containing an amino group bonded directly to the α-carbon are referred to as α-amino acids. These include proline and hydroxyproline, which are secondary amines. In the past they were often called imino acids, a misnomer because they do not contain an imine grouping . The obsolete term remains frequent.
Isomerism
The common natural forms of amino acids have the structure ( in the case of proline) and functional groups attached to the same C atom, and are thus α-amino acids. With the exception of achiral glycine, natural amino acids have the L configuration, and are the only ones found in proteins during translation in the ribosome. | [
-0.02006673626601696,
-0.004819818306714296,
0.025741901248693466,
-0.00714826537296176,
-0.04214286059141159,
0.04176270589232445,
0.019034886732697487,
-0.007114322856068611,
0.03641338646411896,
0.019252117723226547,
-0.01038636825978756,
-0.06326859444379807,
-0.019890235736966133,
-0.03785254433751106,
-0.03391522541642189,
0.003692931029945612,
-0.016346650198101997,
-0.02902752347290516,
-0.01876334846019745,
-0.00976861733943224,
0.025158092379570007,
0.015396264381706715,
-0.04466817155480385,
-0.001788763445802033,
0.029353370890021324,
0.043582018464803696,
0.029081832617521286,
0.012151372618973255,
0.02427559159696102,
0.03768961876630783,
0.010909081436693668,
-0.0056683775037527084,
0.012579046189785004,
-0.05088641867041588,
-0.04350055381655693,
-0.025918401777744293,
0.022578472271561623,
-0.058543819934129715,
-0.018288154155015945,
-0.01164223626255989,
0.026705864816904068,
-0.024262014776468277,
-0.000033783275284804404,
0.01278270035982132,
-0.03100975975394249,
0.030819682404398918,
0.004310682415962219,
-0.010304906405508518,
-0.02355601266026497,
0.010311695747077465,
0.019890235736966133,
0.004887702874839306,
0.03304630145430565,
0.05281434580683708,
-0.0009571751579642296,
-0.048659797757864,
0.03608753904700279,
-0.021465161815285683,
-0.05449788644909859,
0.019306426867842674,
0.020460467785596848,
-0.008818230591714382,
0.034485459327697754,
-0.018070923164486885,
0.014798877760767937,
0.0186411552131176,
-0.009218750521540642,
-0.012606199830770493,
-0.000584233202971518,
-0.025171669200062752,
-0.04621594771742821,
0.012660508044064045,
-0.005919551011174917,
-0.06071612983942032,
-0.024832244962453842,
-0.007969670929014683,
0.045156944543123245,
-0.03817839175462723,
-0.046270254999399185,
-0.012619777582585812,
-0.029570601880550385,
0.006360802333801985,
0.029543448239564896,
0.03280191868543625,
-0.017582153901457787,
-0.04013347253203392,
-0.07499908655881882,
0.004239403177052736,
0.047845181077718735,
0.045835793018341064,
0.00048028468154370785,
0.038015466183423996,
-0.03418676555156708,
-0.03318207338452339,
0.04749218001961708,
-0.007012495771050453,
-0.026271402835845947,
0.022266201674938202,
-0.011628659442067146,
-0.01978161931037903,
0.0597928985953331,
0.0031753096263855696,
-0.04306609183549881,
0.050343338400125504,
-0.031172683462500572,
0.03234029933810234,
-0.06902522593736649,
0.024723630398511887,
-0.03508284315466881,
-0.0018821050180122256,
0.012422911822795868,
-0.010834407992661,
0.012904893606901169,
-0.0542263463139534,
0.0033450217451900244,
0.04773656278848648,
-0.020732006058096886,
0.04208855330944061,
-0.026597250252962112,
0.031770069152116776,
0.014798877760767937,
0.004005201160907745,
0.03741808235645294,
0.035571616142988205,
0.00038821599446237087,
0.04409794136881828,
-0.02519882284104824,
0.024506399407982826,
-0.03429538011550903,
0.030928296968340874,
0.005087962839752436,
-0.03880292922258377,
0.007833901792764664,
0.08227632939815521,
-0.01808449998497963,
-0.014350838959217072,
-0.029163293540477753,
0.042061399668455124,
0.010936235077679157,
-0.05438927188515663,
0.025266708806157112,
-0.040242087095975876,
-0.05153810977935791,
0.06451767683029175,
0.020012427121400833,
0.019673004746437073,
-0.025578977540135384,
-0.06136782467365265,
0.004134181886911392,
0.019469350576400757,
-0.04681333154439926,
0.015260494314134121,
-0.006113023031502962,
-0.0011693150736391544,
-0.03855854645371437,
0.033643689006567,
-0.0018838021205738187,
0.012063122354447842,
-0.0025168275460600853,
-0.014174338430166245,
-0.024411359801888466,
-0.009639636613428593,
0.02655651792883873,
-0.015871457755565643,
-0.0288102924823761,
0.006028166972100735,
-0.03861285373568535,
0.008478806354105473,
0.04097524285316467,
-0.025307439267635345,
-0.0226327795535326,
0.020392581820487976,
-0.01870904117822647,
0.07288108021020889,
0.02350170537829399,
0.06310567259788513,
0.05286865308880806,
-0.020827045664191246,
0.020541928708553314,
0.025090208277106285,
-0.005712502636015415,
-0.017785808071494102,
-0.04912141337990761,
0.0370379276573658,
0.031770069152116776,
-0.007277246564626694,
-0.01752784475684166,
0.00841092225164175,
0.023053664714097977,
-0.02154662273824215,
0.0023080818355083466,
0.05425349995493889,
-0.026542941108345985,
-0.003709902288392186,
-0.0714147686958313,
0.0018311914755031466,
-0.03687500208616257,
0.04980026185512543,
-0.004500759765505791,
-0.03660346195101738,
0.0037031136453151703,
0.06451767683029175,
0.0009783891728147864,
-0.00492503959685564,
-0.016238035634160042,
0.04306609183549881,
0.01570853404700756,
0.06772183626890182,
0.009619270451366901,
0.032883379608392715,
0.011282447725534439,
-0.031308453530073166,
-0.0027934580575674772,
0.0052373092621564865,
-0.00902867317199707,
-0.017758654430508614,
-0.01752784475684166,
-0.008051132783293724,
-0.035788845270872116,
-0.03141706809401512,
0.030493834987282753,
0.00023080818937160075,
-0.002930924529209733,
0.04681333154439926,
-0.0042156437411904335,
0.029108986258506775,
0.04578148201107979,
0.025578977540135384,
-0.008288729004561901,
-0.007548785302788019,
-0.009021884761750698,
0.015423418022692204,
-0.0076302471570670605,
-0.0007518237107433379,
0.011662602424621582,
-0.0037879697047173977,
0.015097570605576038,
0.03255753219127655,
0.041192471981048584,
-0.005091357044875622,
0.004741750657558441,
-0.038721468299627304,
0.011275659315288067,
0.030873989686369896,
0.028457291424274445,
0.06446336954832077,
-0.014988955110311508,
-0.01583072729408741,
-0.04800810292363167,
0.04051362723112106,
-0.055665504187345505,
0.04974595457315445,
0.0343768447637558,
-0.011458948254585266,
-0.023040087893605232,
-0.041626937687397,
0.03250322490930557,
0.0041647301986813545,
-0.00896757747977972,
-0.05026187747716904,
-0.02902752347290516,
-0.004850366152822971,
-0.011357120238244534,
-0.008838595822453499,
0.05973859131336212,
0.02730325050652027,
-0.0032364060170948505,
0.04347340017557144,
0.0039882296696305275,
-0.03451261296868324,
-0.0547151193022728,
-0.054334964603185654,
-0.04151831939816475,
-0.006085868924856186,
-0.026162786409258842,
-0.014215068891644478,
0.02701813541352749,
-0.03149852901697159,
0.024479245766997337,
0.028457291424274445,
-0.04078516364097595,
-0.04217001423239708,
-0.055448275059461594,
0.035381536930799484,
0.009021884761750698,
0.03407815098762512,
0.013006720691919327,
0.005295011214911938,
-0.06142213195562363,
0.028918908908963203,
-0.014554493129253387,
0.000998754519969225,
-0.002506644930690527,
-0.005111722741276026,
-0.007541996892541647,
0.024533553048968315,
0.031118374317884445,
0.01870904117822647,
-0.019564388319849968,
-0.0048232125118374825,
-0.034431152045726776,
0.013889222405850887,
-0.03391522541642189,
-0.011221351101994514,
-0.043147556483745575,
0.039807625114917755,
-0.033996690064668655,
0.016333073377609253,
0.021438008174300194,
0.01798946224153042,
0.00985007919371128,
0.05734904855489731,
0.0013789092190563679,
0.011350331827998161,
-0.03842277452349663,
0.01382133737206459,
0.016645343974232674,
0.07195784896612167,
0.0067647164687514305,
-0.0510764941573143,
-0.03253037855029106,
-0.02810429222881794,
0.0028002464678138494,
-0.045591406524181366,
0.026013441383838654,
0.033344995230436325,
-0.0010488196276128292,
-0.051836803555488586,
0.005502060055732727,
-0.045618560165166855,
-0.06869938224554062,
0.02986929565668106,
-0.0019924177322536707,
0.04855118319392204,
-0.013902799226343632,
-0.01261298917233944,
0.025551823899149895,
0.02183173969388008,
-0.010630753822624683,
-0.031362760812044144,
0.03405099734663963,
-0.02718105912208557,
-0.0043174708262085915,
0.022836433723568916,
0.007419804576784372,
0.058543819934129715,
0.01315606664866209,
0.014228645712137222,
0.0005418052314780653,
0.015355532988905907,
0.004280134104192257,
0.04819818213582039,
0.020759159699082375,
0.017921576276421547,
-0.003110819263383746,
0.054280657321214676,
0.0009376582456752658,
-0.018383193761110306,
-0.008865749463438988,
-0.001966960960999131,
-0.0031040306203067303,
0.022483432665467262,
-0.018505387008190155,
-0.03141706809401512,
0.00501668406650424,
-0.03885723650455475,
-0.05026187747716904,
-0.005318771116435528,
0.03500138223171234,
-0.015369109809398651,
0.06701583415269852,
0.05218980461359024,
0.018003039062023163,
-0.0022978992201387882,
-0.013875645585358143,
-0.008478806354105473,
0.06793907284736633,
0.01009446382522583,
0.04491255804896355,
-0.040948089212179184,
-0.0064558410085737705,
0.02439778298139572,
0.014255800284445286,
0.005736262537539005,
0.0476822555065155,
0.03709223493933678,
-0.005956887733191252,
0.01528764795511961,
-0.018844809383153915,
0.002667871071025729,
-0.012185314670205116,
-0.035571616142988205,
0.013108547776937485,
-0.01564064994454384,
0.0048232125118374825,
-0.013828125782310963,
0.033996690064668655,
-0.0005816875491291285,
-0.024682899937033653,
-0.007799959275871515,
0.04393501952290535,
0.0017005132976919413,
0.009015096351504326,
0.04168124496936798,
0.012558680959045887,
0.0066594951786100864,
-0.03149852901697159,
0.022184740751981735,
0.03587030991911888,
-0.0013118729693815112,
-0.00588221475481987,
-0.014853185974061489,
0.02451997622847557,
-0.039807625114917755,
0.0039882296696305275,
-0.011228139512240887,
-0.032204531133174896,
-0.012280353344976902,
0.008105440996587276,
-0.0029954151250422,
-0.02077273651957512,
-0.01528764795511961,
-0.0027832752093672752,
0.028620215132832527,
0.00030802711262367666,
-0.013719510287046432,
0.03687500208616257,
-0.0093205776065588,
0.024343475699424744,
0.014133607037365437,
0.02989644929766655,
-0.01267408486455679,
-0.003409512108191848,
0.0003118456224910915,
-0.006781687494367361,
0.015817148610949516,
0.01604795828461647,
0.001036939793266356,
0.01337329763919115,
-0.061965212225914,
0.0126469312235713,
0.01743280701339245,
-0.005403627175837755,
0.013726298697292805,
0.02195393107831478,
-0.026692287996411324,
0.015654226765036583,
0.04075800999999046,
-0.000020007442799396813,
0.005471511743962765,
0.016115842387080193,
-0.031064067035913467,
0.05892397463321686,
-0.027995675802230835,
-0.0028460687026381493,
0.028158599510788918,
-0.012314295396208763,
-0.006146965082734823,
-0.04602586850523949,
-0.01842392422258854,
0.015993649140000343,
-0.003991623874753714,
0.025456786155700684,
-0.017772231251001358,
-0.026597250252962112,
0.056534428149461746,
-0.07136046141386032,
-0.013142489828169346,
0.011798371560871601,
0.046731870621442795,
-0.014730993658304214,
-0.05729473754763603,
-0.008166536688804626,
-0.04933864623308182,
0.03429538011550903,
-0.0046602888032794,
0.01703907549381256,
0.018817655742168427,
-0.02198108658194542,
-0.05571981146931648,
-0.028946062549948692,
0.005447752308100462,
0.04312039911746979,
-0.047193486243486404,
0.014201492071151733,
-0.03464838117361069,
0.0064558410085737705,
-0.0006699377554468811,
-0.04151831939816475,
-0.022306932136416435,
-0.014568069949746132,
0.014500184915959835,
-0.0032177376560866833,
0.0401877798140049,
-0.027099596336483955,
-0.05962997302412987,
-0.035110000520944595,
-0.040676549077034,
-0.027615521103143692,
-0.010209867730736732,
0.06701583415269852,
0.012497584335505962,
-0.017894422635436058,
0.018654732033610344,
-0.033344995230436325,
0.024832244962453842,
0.020202504470944405,
-0.015056840144097805,
-0.02265993319451809,
-0.009082981385290623,
0.038232699036598206,
0.027629097923636436,
-0.02003958262503147,
-0.023352358490228653,
0.039807625114917755,
0.015138301998376846,
0.042930323630571365,
0.05243419110774994,
-0.045184098184108734,
0.006011195480823517,
0.016808267682790756,
-0.019455771893262863,
-0.03144422173500061,
0.045129790902137756,
-0.028267214074730873,
0.023121550679206848,
0.015817148610949516,
-0.05848951265215874,
-0.015301225706934929,
-0.03320922702550888,
0.027343982830643654,
-0.04195278137922287,
-0.014242223463952541,
-0.06272552162408829,
0.019129926338791847,
-0.010155560448765755,
0.04610732942819595,
0.015260494314134121,
-0.036250464618206024,
-0.03008652664721012,
-0.02986929565668106,
-0.00925948191434145,
-0.0008290426339954138,
-0.016740381717681885,
-0.0537375770509243,
-0.02352885901927948,
0.007385862059891224,
0.03152568265795708,
-0.058761049062013626,
-0.01272160466760397,
0.029380524531006813,
0.010515349917113781,
0.05395480990409851,
0.0003319989191368222,
-0.05357465520501137,
-0.011411428451538086,
0.01607511192560196,
0.0752706229686737,
-0.0028562513180077076,
0.03880292922258377,
-0.016210881993174553,
0.02856590785086155,
-0.02466932311654091,
-0.02306724153459072,
0.020636968314647675,
0.005369684658944607,
0.0007721891743130982,
-0.03986193239688873,
0.03057529591023922,
0.004572038538753986,
-0.03361653536558151,
0.011085581965744495,
0.014690262265503407,
-0.005709108430892229,
-0.0017548210453242064,
-0.043147556483745575,
-0.04656894505023956,
-0.021125737577676773,
-0.01382133737206459,
0.0341324582695961,
0.005403627175837755,
0.0012660508509725332,
-0.043391939252614975,
-0.011336755007505417,
0.04363632574677467,
-0.08678387850522995,
0.027140328660607338,
0.06354013830423355,
-0.012986354529857635,
-0.009307000786066055,
0.0005311982822604477,
-0.0004278861451894045,
-0.006085868924856186,
-0.033317841589450836,
-0.001199863152578473,
0.027832752093672752,
-0.029652064666152,
-0.00028744954033754766,
-0.018871963024139404,
-0.04499401897192001,
-0.003747238777577877,
-0.009843290783464909,
0.03923739120364189,
0.0141607616096735,
0.047818027436733246,
0.03100975975394249,
-0.06006443873047829,
-0.027276096865534782,
0.06337721645832062,
-0.015586341731250286,
-0.007039649877697229,
0.011669390834867954,
0.007073592394590378,
0.001385697745718062,
-0.009972271509468555,
-0.011893410235643387,
-0.04054078087210655,
0.008227633312344551,
0.038965854793787,
-0.0056921374052762985,
-0.019306426867842674,
0.005760021973401308,
0.026705864816904068,
-0.04062224179506302,
-0.0314713753759861,
-0.008940422907471657,
0.021913200616836548,
0.00044082666863687336,
-0.017351344227790833,
-0.020243236795067787,
0.016468843445181847,
-0.028891755267977715,
-0.01573568768799305,
0.00041197563405148685,
0.002457428490743041,
0.02897321619093418,
-0.01105163898319006,
0.013020297512412071,
0.010270964354276657,
-0.011866256594657898,
0.05441642552614212,
-0.03030375763773918,
-0.037608157843351364,
0.027683405205607414,
0.023569589480757713,
0.023949744179844856,
-0.04545563831925392,
0.02544320933520794,
-0.014065722934901714,
0.017242729663848877,
-0.012701238505542278,
0.023175857961177826,
0.011839102022349834,
0.0014510367764160037,
-0.061639364808797836,
0.04491255804896355,
0.06500644981861115,
-0.06082474812865257,
0.016618190333247185,
0.003679353976622224,
0.023203011602163315,
0.022795703262090683,
0.007548785302788019,
-0.024872977286577225,
0.029570601880550385,
0.0026305345818400383,
-0.01570853404700756,
-0.01870904117822647,
-0.00825478695333004,
-0.07559647411108017,
-0.028022829443216324,
-0.004276739899069071,
-0.021478738635778427,
-0.001145555404946208,
0.01709338277578354,
0.010685061104595661,
0.013916376046836376,
-0.04390786215662956,
0.04580863565206528,
0.020229658111929893,
0.03652200102806091,
-0.011044850572943687,
0.05827227979898453,
-0.01136390957981348,
-0.05039764568209648,
0.01038636825978756,
-0.013074604794383049,
-0.03931885585188866,
0.012837008573114872,
-0.059467051178216934,
0.008668883703649044,
0.00987723283469677,
0.0061028399504721165,
-0.009782194159924984,
0.002881708089262247,
-0.0317157618701458,
-0.015572763979434967,
-0.031172683462500572,
0.0338880717754364,
0.019985273480415344,
0.058978281915187836,
0.006269157864153385,
-0.023365935310721397,
-0.000017912561816046946,
0.04287601634860039,
-0.03035806491971016,
-0.04586294665932655,
0.004293711390346289,
0.028946062549948692,
-0.05262426659464836,
0.005444358102977276,
-0.02943483181297779,
0.04102955013513565,
-0.07413016259670258,
-0.015464148484170437,
-0.012993143871426582,
0.014649531804025173,
0.06473490595817566,
-0.013020297512412071,
-0.0024557311553508043,
0.05604565888643265,
0.0071957847103476524,
-0.020351851359009743,
0.03546299785375595,
-0.034023843705654144,
0.013135701417922974,
-0.03497422859072685,
0.002213043160736561,
-0.06652706861495972,
-0.03280191868543625,
-0.034023843705654144,
-0.013380086980760098,
0.02764267474412918,
0.02386828139424324,
0.035571616142988205,
-0.004205461125820875,
0.01559991855174303,
-0.02331162802875042,
0.0003801546699833125,
-0.0266244038939476,
-0.01873619481921196,
0.018383193761110306,
-0.02745259739458561,
-0.002226620214059949,
-0.041355397552251816,
-0.048768412321805954,
-0.029950756579637527,
-0.02757479064166546,
-0.040296394377946854,
0.013414029031991959,
-0.004690837115049362,
-0.028620215132832527,
-0.012293930165469646,
-0.020365428179502487,
0.05783781781792641,
-0.031091220676898956,
-0.00041218780097551644,
-0.031308453530073166,
-0.021994663402438164,
-0.013733087107539177,
0.0012906590709462762,
-0.010209867730736732,
-0.06066182255744934,
-0.0199716966599226,
-0.04610732942819595,
-0.015898611396551132,
-0.014554493129253387,
0.035381536930799484,
-0.0013950318098068237,
0.04849687218666077,
-0.014635954983532429,
-0.04735640808939934,
-0.02655651792883873,
0.013841702602803707,
0.029977910220623016,
-0.011737274937331676,
-0.025497516617178917,
-0.034023843705654144,
0.0317157618701458,
-0.019523657858371735,
-0.013705933466553688,
-0.004161335993558168,
0.0058448780328035355,
0.011228139512240887,
-0.012667296454310417,
-0.022741395980119705,
0.05525819584727287,
0.07651970535516739,
0.03320922702550888,
0.04665040969848633,
0.03926454484462738,
0.0003319989191368222,
-0.007833901792764664,
-0.02423485927283764,
-0.0002685690997168422,
-0.0023505098652094603,
0.008193690329790115,
-0.013454759493470192,
-0.011771217919886112,
0.024601437151432037,
0.03342645615339279,
0.01371272187680006,
-0.004273345693945885,
-0.0372823104262352,
0.01360410638153553,
-0.02365105040371418,
0.02198108658194542,
0.026176365092396736,
0.021505892276763916,
0.03698361665010452,
-0.030412374064326286,
-0.014242223463952541,
-0.018654732033610344,
0.004965770523995161,
0.00958532840013504,
0.004409115295857191,
0.013692356646060944,
-0.02498159185051918,
-0.004409115295857191,
0.006829206831753254,
-0.00918480847030878,
0.025035900995135307,
0.01759573072195053,
-0.002080667996779084,
0.030738219618797302,
0.08406849205493927,
-0.009347731247544289,
0.02423485927283764,
0.04749218001961708,
-0.03193299099802971,
0.004796058405190706,
-0.042740244418382645,
0.006832601502537727,
0.00087062205420807,
0.08901049941778183,
0.008838595822453499,
-0.05783781781792641,
-0.05246134474873543,
0.05593704432249069,
-0.02466932311654091,
0.000054626019846182317,
0.030466681346297264,
0.020827045664191246,
-0.03372514992952347,
-0.019347157329320908,
0.02534816972911358,
-0.045428480952978134,
0.023583166301250458,
0.04439663514494896,
0.001899076160043478,
-0.00696497643366456,
0.061910901218652725,
-0.027276096865534782,
0.03372514992952347,
0.02411266788840294,
0.04632456228137016,
-0.005189789924770594,
0.018464654684066772,
0.033779457211494446,
0.010270964354276657,
0.018776925280690193,
-0.0027425442822277546,
-0.013162855058908463,
-0.06381167471408844,
0.009327366016805172,
-0.03885723650455475,
0.029489140957593918,
-0.03228599205613136,
-0.023583166301250458,
0.0025388901121914387,
0.03353507071733475,
-0.007956094108521938,
-0.029814986512064934,
0.01405214611440897,
0.014120030216872692,
0.00841092225164175,
0.023664627224206924,
-0.016156572848558426,
0.05020757019519806,
0.045998714864254,
-0.008322671987116337,
0.007732074242085218,
-0.027466174215078354,
-0.02791421487927437,
-0.05001749098300934,
0.026257826015353203,
-0.04083947092294693,
-0.019021309912204742,
0.027656251564621925,
-0.025483939796686172,
-0.021370122209191322,
0.022008240222930908,
-0.015124725177884102,
-0.06082474812865257,
0.014866762794554234,
-0.027140328660607338,
0.05783781781792641,
0.005295011214911938,
-0.05237988382577896,
-0.0031668241135776043,
0.021791009232401848,
0.00490127969533205,
-0.01750069111585617,
0.04461386427283287,
0.02021608129143715,
0.0014875248307362199,
0.026705864816904068,
-0.008947211317718029,
0.019863082095980644,
-0.00029084377456456423,
-0.013794183731079102,
-0.039780471473932266,
-0.009653213433921337,
-0.018627578392624855,
-0.0699484571814537,
0.054280657321214676,
0.053004421293735504,
0.017487114295363426,
0.010488195344805717,
-0.011526832357048988,
0.008139383047819138,
-0.05859812721610069,
0.027031712234020233,
0.0029631699435412884,
-0.01261298917233944,
-0.015206187032163143,
-0.007908574305474758,
0.08124448359012604,
-0.042495861649513245,
0.21136599779129028,
0.09759113192558289,
0.045374173671007156,
0.02018892765045166,
-0.0010208170861005783,
0.007019284181296825,
0.05533965677022934,
-0.0375266969203949,
0.03722800314426422,
0.017242729663848877,
0.013746663928031921,
0.020080313086509705,
0.02352885901927948,
0.03152568265795708,
0.011906987056136131,
0.019550811499357224,
-0.03209591656923294,
0.041382551193237305,
-0.0360603854060173,
0.021723123267292976,
-0.036006078124046326,
0.0341324582695961,
0.0052882228046655655,
-0.020243236795067787,
-0.02500874549150467,
-0.0037031136453151703,
0.0078067476861178875,
-0.028918908908963203,
-0.052325572818517685,
0.009639636613428593,
-0.0012652022996917367,
-0.018532540649175644,
0.03429538011550903,
0.009178020060062408,
-0.016618190333247185,
-0.022917896509170532,
0.025701170787215233,
-0.0401877798140049,
-0.008370190858840942,
0.048768412321805954,
-0.014364415779709816,
-0.015233340673148632,
0.003492671065032482,
-0.03163429722189903,
0.0019075617892667651,
0.02430274523794651,
-0.04947441443800926,
0.050289031118154526,
0.022700663655996323,
-0.05441642552614212,
0.008716403506696224,
-0.03483846038579941,
-0.012653719633817673,
-0.013461547903716564,
-0.05702320113778114,
-0.040269240736961365,
0.03576169162988663,
-0.0377710796892643,
-0.0019788409117609262,
0.04589010030031204,
0.012877739034593105,
0.023257318884134293,
-0.012246411293745041,
0.024289168417453766,
0.007087169215083122,
0.03902016207575798,
-0.013454759493470192,
0.07347846776247025,
-0.043853554874658585,
0.007508054841309786,
0.010399945080280304,
-0.06500644981861115,
-0.0013458153698593378,
-0.020949237048625946,
0.03459407389163971,
-0.03519146144390106,
-0.0481710284948349,
0.03190583735704422,
0.0036012865602970123,
-0.03904731571674347,
0.021410854533314705,
-0.005987436044961214,
-0.04154547303915024,
0.007379073649644852,
0.06066182255744934,
0.0099858483299613,
-0.004938616417348385,
-0.05227126553654671,
-0.04244155436754227,
0.014147184789180756,
0.029081832617521286,
-0.013393663801252842,
0.014663108624517918,
-0.04054078087210655,
-0.011350331827998161
] |
1207_2 | The L and D convention for amino acid configuration refers not to the optical activity of the amino acid itself but rather to the optical activity of the isomer of glyceraldehyde from which that amino acid can, in theory, be synthesized (D-glyceraldehyde is dextrorotatory; L-glyceraldehyde is levorotatory).
An alternative convention is to use the (S) and (R) designators to specify the absolute configuration. Almost all of the amino acids in proteins are (S) at the α carbon, with cysteine being (R) and glycine non-chiral. Cysteine has its side chain in the same geometric location as the other amino acids, but the R/S terminology is reversed because sulfur has higher atomic number compared to the carboxyl oxygen which gives the side chain a higher priority by the Cahn-Ingold-Prelog sequence rules, whereas the atoms in most other side chains give them lower priority compared to the carboxyl group.
D-amino acid residues are found in some proteins, but they are rare.
Side chains
Amino acids are designated as α- when the amino nitrogen atom is attached to the α-carbon, the carbon atom adjacent to the carboxylate group.
In all cases below in this section the values (if any) refer to the ionization of the groups as amino acid residues in proteins. They are not values for the free amino acids (which are of little biochemical importance).
Aliphatic side-chains
Several side-chains contain only H and C, and do not ionize. These are as follows (with three- and one-letter symbols in parenthesis):
Glycine (Gly, G):
Alanine (Ala, A):
Valine (Val, V):
Leucine (Leu, L):
Isoleucine (Ile, I):
Proline (Pro, P): cyclized onto the amine | [
-0.03211430087685585,
-0.016196414828300476,
0.0633930191397667,
0.0027800595853477716,
-0.07219450920820236,
0.043116167187690735,
0.040386591106653214,
-0.02421802654862404,
-0.027309689670801163,
0.03757345303893089,
-0.008390662260353565,
-0.04161211475729942,
-0.014302423223853111,
-0.01820181868970394,
-0.01673954539000988,
0.021265627816319466,
-0.01917666755616665,
0.027504660189151764,
-0.03189148008823395,
0.0019148814026266336,
0.0382697768509388,
-0.008529926650226116,
-0.06311449408531189,
0.0029454356990754604,
0.032643504440784454,
0.04258696362376213,
0.03097233548760414,
0.005180624779313803,
0.05904797837138176,
0.0513884536921978,
-0.01942734234035015,
-0.013146530836820602,
0.03339553251862526,
-0.03971812129020691,
-0.024970052763819695,
-0.029050491750240326,
0.024677598848938942,
-0.029022639617323875,
-0.0258752703666687,
0.013703587464988232,
0.07108040153980255,
-0.03952315077185631,
-0.022226551547646523,
0.011287355795502663,
-0.0384925976395607,
-0.0033423383720219135,
-0.019636237993836403,
-0.009316768497228622,
-0.023967351764440536,
-0.03615296259522438,
-0.00334756076335907,
0.02832631766796112,
0.07375426590442657,
0.0387154221534729,
-0.0640057846903801,
-0.006628971081227064,
0.004195331130176783,
-0.014929112046957016,
-0.04785114526748657,
0.04598500579595566,
-0.006935352459549904,
-0.00905216671526432,
-0.007763973902910948,
-0.03746204450726509,
-0.00580731313675642,
0.017477644607424736,
0.0007855365984141827,
0.022644342854619026,
0.006771716754883528,
-0.020778203383088112,
-0.017491571605205536,
0.0018922509625554085,
-0.005688938777893782,
-0.049438755959272385,
-0.045678626745939255,
-0.00021194256260059774,
0.025248581543564796,
-0.037796277552843094,
-0.014142269268631935,
-0.003864578902721405,
-0.05406232550740242,
-0.008710969239473343,
0.01540260948240757,
0.0024754193145781755,
-0.01810433343052864,
0.011983675882220268,
-0.0387154221534729,
-0.008515999652445316,
0.048380348831415176,
0.008146950043737888,
0.00014644490147475153,
0.08138594031333923,
-0.02977466583251953,
-0.06991057842969894,
0.008710969239473343,
0.017491571605205536,
0.005695901811122894,
0.008655264042317867,
0.018424641340970993,
-0.005403446964919567,
0.017589056864380836,
-0.009212320670485497,
-0.018605684861540794,
0.030359573662281036,
-0.018341083079576492,
0.01802077516913414,
-0.016321752220392227,
0.03230927139520645,
-0.021237775683403015,
-0.007346181198954582,
0.032922033220529556,
-0.02295072376728058,
-0.02441299706697464,
-0.044620219618082047,
0.0004573955375235528,
0.0256245955824852,
-0.03100018948316574,
0.03709995746612549,
-0.04517727345228195,
0.008634374476969242,
0.034286823123693466,
-0.016377458348870277,
0.03211430087685585,
0.03952315077185631,
0.012408431619405746,
0.05904797837138176,
-0.011503214947879314,
0.012624290771782398,
-0.06294737756252289,
0.002000180771574378,
-0.0037009434308856726,
-0.007931090891361237,
-0.005239811725914478,
0.016238193958997726,
0.013592176139354706,
0.019859060645103455,
-0.053533121943473816,
0.05681975558400154,
0.020248999819159508,
-0.045455802232027054,
0.016405310481786728,
0.020026177167892456,
-0.025332139804959297,
0.07876777648925781,
-0.0060370988212525845,
0.013543433509767056,
-0.007283512502908707,
-0.014748068526387215,
-0.007513298187404871,
0.0037218332290649414,
-0.028744110837578773,
-0.004449488129466772,
0.006127620581537485,
0.009880787692964077,
-0.016182487830519676,
0.01914881356060505,
0.021028880029916763,
0.00678564328700304,
-0.033061299473047256,
0.0019340302096679807,
0.018508199602365494,
-0.04244769737124443,
0.011739963665604591,
-0.00027591700199991465,
-0.017421938478946686,
0.022226551547646523,
-0.03760130703449249,
0.006092804484069347,
-0.007422776892781258,
-0.013355427421629429,
0.005250256508588791,
-0.020012252032756805,
-0.015263346023857594,
0.049355197697877884,
0.009518701583147049,
0.05378379672765732,
0.0763167291879654,
-0.051945511251688004,
0.03634792938828468,
0.034091852605342865,
-0.0003953794948756695,
0.018285376951098442,
-0.02306213602423668,
0.038993947207927704,
0.035122405737638474,
-0.006308663636445999,
-0.008606521412730217,
-0.006858757231384516,
-0.005929169245064259,
-0.024036984890699387,
-0.005312925670295954,
0.07074616104364395,
-0.01666991226375103,
-0.00896164495497942,
-0.07130321860313416,
0.02712864801287651,
-0.03303344547748566,
0.07208310067653656,
-0.07007769495248795,
-0.006395704112946987,
0.0064061488956213,
-0.0013673993526026607,
-0.04409101605415344,
-0.008599557913839817,
-0.01680917665362358,
-0.013202236965298653,
0.0023605264723300934,
0.04222487658262253,
0.010674593038856983,
0.02977466583251953,
0.004665347281843424,
0.007791826501488686,
-0.04097149893641472,
0.03236497566103935,
-0.025178950279951096,
-0.014009968377649784,
-0.004261481575667858,
0.03439823165535927,
-0.07191598415374756,
0.0009443847229704261,
-0.023855941370129585,
0.0068900915794074535,
0.008265324868261814,
0.05771104246377945,
0.04868673160672188,
0.003354524029418826,
0.026195578277111053,
0.028994785621762276,
0.03247638791799545,
0.009999162517488003,
0.01537475734949112,
0.01655850186944008,
-0.004644457716494799,
0.0194691214710474,
-0.013139568269252777,
0.0017112076748162508,
0.03361835330724716,
0.0386875681579113,
0.04980084300041199,
0.008467257022857666,
-0.0015023115556687117,
-0.010591034777462482,
0.05651337280869484,
0.0005165828042663634,
0.014706289395689964,
0.028660552576184273,
-0.02818705514073372,
0.005093584768474102,
-0.048157528042793274,
0.03501099720597267,
-0.027407174929976463,
0.03191933408379555,
0.06612259894609451,
-0.0013404169585555792,
-0.007269585970789194,
-0.04219702258706093,
0.013313648290932178,
-0.013014229945838451,
-0.04757261648774147,
-0.01816003955900669,
0.03063810244202614,
0.0025903123896569014,
0.007673452142626047,
0.015388683415949345,
0.026390546932816505,
0.04854746535420418,
0.018953844904899597,
0.02336851693689823,
0.02052752859890461,
-0.04375677928328514,
-0.07447843998670578,
-0.03949530050158501,
-0.01024983823299408,
-0.009880787692964077,
-0.021488450467586517,
-0.0007637765374965966,
0.04205776005983353,
-0.02047182247042656,
0.0513048954308033,
0.006778680253773928,
-0.04141714423894882,
-0.03333982452750206,
-0.043144017457962036,
0.03999665006995201,
-0.009469958953559399,
0.06779376417398453,
0.01294459868222475,
0.005058768671005964,
-0.03640363737940788,
0.026320915669202805,
-0.04150070250034332,
-0.005633233115077019,
-0.03484387695789337,
-0.011544994078576565,
0.024204101413488388,
0.02701723575592041,
-0.006350443232804537,
-0.02971895970404148,
-0.03100018948316574,
0.000283097819192335,
-0.008174803107976913,
0.040470149368047714,
-0.016962368041276932,
0.0128819290548563,
-0.04971728473901749,
0.048018261790275574,
-0.01924629881978035,
0.0023779345210641623,
0.0010470920242369175,
0.04205776005983353,
-0.000032585623557679355,
0.00828621443361044,
0.04241984710097313,
-0.003314485540613532,
-0.027462881058454514,
-0.017018074169754982,
0.00892682932317257,
0.07342003285884857,
-0.007951980456709862,
-0.055928464978933334,
-0.039133213460445404,
-0.0030603285413235426,
0.031557247042655945,
-0.033896882086992264,
0.022839313372969627,
0.07375426590442657,
-0.015082302503287792,
-0.05225189030170441,
0.009198393672704697,
-0.0258891973644495,
-0.0514998659491539,
0.040330883115530014,
-0.005173661280423403,
0.02456618845462799,
-0.0006084100459702313,
0.013230090029537678,
0.007095505949109793,
0.01216471940279007,
0.024956127628684044,
-0.00044782113400287926,
0.04860317334532738,
-0.012471100315451622,
0.017018074169754982,
0.008084281347692013,
-0.0033423383720219135,
0.04280978441238403,
0.009957383386790752,
0.02435729093849659,
-0.022839313372969627,
-0.012276130728423595,
-0.030610250309109688,
-0.009407290257513523,
-0.0013795850099995732,
0.04988440126180649,
0.006771716754883528,
0.04389604553580284,
0.018675316125154495,
-0.03439823165535927,
-0.026265209540724754,
0.030470985919237137,
0.023925572633743286,
0.009616185910999775,
-0.01467843633145094,
-0.03088877722620964,
-0.0023814160376787186,
-0.02169734798371792,
-0.024942200630903244,
0.039244625717401505,
0.017672615125775337,
-0.03166865557432175,
0.07330862432718277,
0.006179844494909048,
0.00275394762866199,
-0.011921007186174393,
-0.034258969128131866,
-0.014692362397909164,
0.06322590261697769,
-0.0041222176514565945,
0.04874243587255478,
-0.027602145448327065,
-0.01907918229699135,
0.007777899969369173,
-0.0005009155720472336,
0.00006620484782615677,
0.008940755389630795,
0.028771962970495224,
-0.05225189030170441,
-0.000999219948425889,
-0.04214131832122803,
-0.0005596675910055637,
-0.021195996552705765,
-0.04634709283709526,
0.027741409838199615,
-0.0052119591273367405,
-0.02435729093849659,
0.013473802246153355,
0.03450964391231537,
-0.008439404889941216,
-0.012046344578266144,
-0.009839008562266827,
0.0032448535785079002,
0.051945511251688004,
-0.012693922966718674,
0.021488450467586517,
-0.0008029445889405906,
-0.0018487309571355581,
-0.022560784593224525,
0.007854495197534561,
0.022170845419168472,
0.02441299706697464,
-0.016196414828300476,
0.008613484911620617,
-0.023452075198292732,
-0.026655148714780807,
0.003948137164115906,
0.0039342110976576805,
-0.04796255752444267,
-0.0023431184235960245,
0.003164776833727956,
-0.015931813046336174,
0.00002142001540050842,
-0.033061299473047256,
-0.012624290771782398,
0.03723921999335289,
0.009135724976658821,
-0.020374339073896408,
0.020151516422629356,
-0.014594878070056438,
0.000903475855011493,
0.01407960057258606,
-0.004748906008899212,
-0.006350443232804537,
-0.04888169839978218,
-0.021585935726761818,
-0.04228058084845543,
0.012283094227313995,
0.014372055418789387,
-0.004289334174245596,
0.003596495371311903,
-0.03988523781299591,
0.017157336696982384,
0.0030063637532293797,
-0.00013349769869819283,
-0.013731440529227257,
-0.0037218332290649414,
-0.03244853764772415,
0.025039685890078545,
0.046820592135190964,
-0.022226551547646523,
-0.007575967349112034,
0.03991309180855751,
-0.039021801203489304,
0.03598584234714508,
-0.036710016429424286,
-0.009344621561467648,
-0.015931813046336174,
-0.009170541539788246,
0.006594155449420214,
-0.04606856405735016,
-0.035345230251550674,
-0.00002729522020672448,
-0.032977741211652756,
0.012324873358011246,
-0.0024162321351468563,
-0.013808036223053932,
0.06779376417398453,
-0.0514998659491539,
0.03169650956988335,
0.04768402874469757,
0.0030812183395028114,
-0.021112438291311264,
-0.023674897849559784,
0.007889311760663986,
-0.010221985168755054,
0.00542433699592948,
-0.025471404194831848,
0.0027400213293731213,
0.013425059616565704,
-0.055844906717538834,
-0.029245462268590927,
-0.022101212292909622,
0.010702446103096008,
0.013550397008657455,
-0.07481267303228378,
0.0645628347992897,
-0.024761157110333443,
0.006608081515878439,
0.02304820902645588,
-0.061220500618219376,
-0.04077652841806412,
-0.00369049864821136,
0.004063030239194632,
-0.0070746163837611675,
-0.006924907676875591,
-0.025165023282170296,
-0.06913070380687714,
-0.028939081355929375,
0.01795114204287529,
0.006837867200374603,
0.030220311135053635,
0.09703923016786575,
-0.0036452377680689096,
-0.040470149368047714,
0.015681138262152672,
-0.03088877722620964,
-0.008139986544847488,
-0.01093223225325346,
-0.005549674388021231,
0.00032901144004426897,
0.010159316472709179,
-0.002842728514224291,
0.023995205760002136,
-0.017254821956157684,
-0.030526692047715187,
0.036765724420547485,
-0.006813496351242065,
0.03966241702437401,
0.011635515838861465,
-0.028549140319228172,
0.027337543666362762,
0.04066511616110802,
-0.02969110757112503,
-0.023883793503046036,
0.03506670147180557,
-0.0058490922674536705,
0.003277928801253438,
0.008592595346271992,
-0.020819982513785362,
-0.02704508788883686,
-0.02423195354640484,
0.021530229598283768,
-0.029913928359746933,
0.008766675367951393,
-0.0765952542424202,
0.013432023115456104,
-0.0033371159806847572,
0.026571590453386307,
0.01788151077926159,
-0.010904379189014435,
-0.03317270800471306,
-0.01931593008339405,
0.01689273491501808,
-0.013035120442509651,
-0.010709409601986408,
-0.03567946329712868,
-0.030108898878097534,
-0.03774057328701019,
0.04712697118520737,
-0.03211430087685585,
-0.0057167913764715195,
0.031306568533182144,
0.007186027709394693,
0.050887104123830795,
0.005915242712944746,
-0.04612427204847336,
-0.015012670308351517,
0.034258969128131866,
0.07977047562599182,
-0.013863741420209408,
0.011642479337751865,
-0.009922567754983902,
0.005709828343242407,
-0.02938472479581833,
0.02303428202867508,
0.04512156918644905,
-0.01536083035171032,
0.013919446617364883,
-0.02952398918569088,
0.04927163943648338,
0.0010584071278572083,
-0.05676404759287834,
-0.0025015315040946007,
0.025067538022994995,
-0.0384925976395607,
-0.03565160930156708,
-0.02717042714357376,
-0.048380348831415176,
-0.05052501708269119,
-0.06974346190690994,
0.03559590503573418,
0.0020593679510056973,
0.004682755563408136,
-0.011454472318291664,
-0.03178006783127785,
0.05442441254854202,
-0.0769294872879982,
0.02822883427143097,
0.039188917726278305,
0.025067538022994995,
0.018368935212492943,
-0.0010523144155740738,
0.015068375505506992,
-0.017380159348249435,
-0.035373080521821976,
-0.005131882149726152,
0.027448954060673714,
-0.027643924579024315,
0.02179483138024807,
-0.009274989366531372,
0.005030915606766939,
0.006834385916590691,
0.03565160930156708,
0.053254593163728714,
0.024970052763819695,
0.05035790055990219,
0.028799816966056824,
-0.03629222512245178,
0.011628552339971066,
0.06294737756252289,
-0.000621466082520783,
0.01476199459284544,
0.024705450981855392,
-0.014156196266412735,
0.002639054786413908,
0.02299250289797783,
0.028688404709100723,
-0.025234654545783997,
-0.001148928888142109,
0.06751523911952972,
-0.010221985168755054,
-0.0017590797506272793,
0.05771104246377945,
-0.00959529634565115,
-0.03771271929144859,
-0.029050491750240326,
-0.011461435817182064,
0.023619191721081734,
-0.01669776625931263,
0.019009549170732498,
-0.0026077202055603266,
0.015346904285252094,
-0.011635515838861465,
-0.04013591259717941,
-0.039272475987672806,
0.012338799424469471,
0.010117537342011929,
-0.04888169839978218,
-0.023911645635962486,
0.008167839609086514,
-0.016238193958997726,
0.05943791940808296,
-0.03601369634270668,
-0.01098097488284111,
-0.02162771485745907,
0.041834935545921326,
0.0019270670600235462,
-0.03370191156864166,
0.007603819947689772,
-0.004540009889751673,
-0.00206981273368001,
-0.0018539533484727144,
0.04796255752444267,
0.022240476682782173,
0.007422776892781258,
-0.04294905066490173,
0.03559590503573418,
0.03476031869649887,
-0.04776758700609207,
0.00670208502560854,
0.022254403680562973,
0.029802517965435982,
0.0032883735839277506,
-0.015151934698224068,
-0.017491571605205536,
0.04021947458386421,
0.01824359782040119,
-0.02971895970404148,
-0.03467676043510437,
0.018466420471668243,
-0.04673703387379646,
-0.002473678672686219,
-0.004540009889751673,
-0.0640614852309227,
0.018689243122935295,
0.026306988671422005,
-0.021599862724542618,
0.0054800426587462425,
-0.022783607244491577,
0.004028214141726494,
0.03069380857050419,
0.023591339588165283,
-0.024900421500205994,
0.013090825639665127,
-0.032754916697740555,
0.005939614027738571,
-0.006110212299972773,
-0.00023130896443035454,
-0.03982953354716301,
0.02069464512169361,
-0.03478817269206047,
-0.012060271576046944,
0.03634792938828468,
0.02721220627427101,
-0.03464891016483307,
0.04030303284525871,
-0.0389660969376564,
-0.03476031869649887,
-0.02704508788883686,
0.00840458832681179,
0.009866861626505852,
0.05286465212702751,
0.03097233548760414,
-0.0017068556044250727,
0.022797534242272377,
0.01806255429983139,
-0.04743335396051407,
-0.03559590503573418,
-0.024761157110333443,
0.03704424947500229,
-0.06979916989803314,
0.0023431184235960245,
-0.03439823165535927,
0.03723921999335289,
-0.07926912605762482,
-0.013633955270051956,
-0.0258891973644495,
0.012450210750102997,
0.049633726477622986,
0.004045621957629919,
0.0034554905723780394,
0.0513884536921978,
0.023591339588165283,
-0.07280727475881577,
0.02581956423819065,
-0.017491571605205536,
0.027574291452765465,
-0.039383888244628906,
0.010270727798342705,
-0.03088877722620964,
-0.03478817269206047,
-0.04010806232690811,
-0.026627296581864357,
0.021307406947016716,
0.006538449786603451,
0.02849343605339527,
-0.0016911884304136038,
0.031724363565444946,
-0.018744947388768196,
-0.021585935726761818,
-0.013717514462769032,
-0.004003842826932669,
0.03503884747624397,
-0.03186362609267235,
-0.0258752703666687,
-0.031640805304050446,
-0.06723670661449432,
0.018675316125154495,
-0.022616490721702576,
-0.01797899603843689,
0.0009130502585321665,
-0.053310297429561615,
-0.007290475536137819,
-0.03971812129020691,
-0.040358737111091614,
0.016154635697603226,
0.0005966596654616296,
0.02806171588599682,
-0.05027434229850769,
-0.00022032015840522945,
-0.0015771659091114998,
0.015026596374809742,
-0.03774057328701019,
-0.027866747230291367,
0.022727901116013527,
-0.02698938362300396,
-0.025429625064134598,
-0.03760130703449249,
0.029858224093914032,
0.01941341534256935,
0.012986377812922001,
-0.020903542637825012,
-0.03331197425723076,
-0.0191905926913023,
-0.027908526360988617,
0.042921196669340134,
-0.016488870605826378,
-0.03442608565092087,
-0.06066344305872917,
0.005890871398150921,
-0.04456451162695885,
-0.010709409601986408,
0.005748125724494457,
0.03957885876297951,
-0.023842014372348785,
-0.036654312163591385,
-0.0009356806986033916,
0.02172520011663437,
0.04851961508393288,
-0.020973173901438713,
0.01084867399185896,
0.038993947207927704,
-0.0029228052590042353,
-0.022407593205571175,
-0.025011831894516945,
0.027490733191370964,
0.0008312326390296221,
0.0384368933737278,
-0.015876106917858124,
-0.004968246910721064,
0.013787145726382732,
0.010737262666225433,
0.026223430410027504,
-0.0016842252807691693,
-0.002865358954295516,
-0.011384840123355389,
0.008683117106556892,
0.0031038487795740366,
-0.012401468120515347,
0.007367071229964495,
0.037935540080070496,
0.007001502905040979,
-0.0013029897818341851,
0.02966325357556343,
-0.013341501355171204,
0.004644457716494799,
0.019093109294772148,
0.010263764299452305,
-0.01807648129761219,
-0.009462995454668999,
0.005062249954789877,
-0.005093584768474102,
0.053115326911211014,
0.03100018948316574,
-0.03097233548760414,
0.018368935212492943,
0.07397709041833878,
0.0006728196749463677,
0.0016842252807691693,
0.0770409032702446,
-0.018661389127373695,
-0.008745785802602768,
-0.01935771107673645,
0.010486586950719357,
-0.001751246047206223,
0.06584406644105911,
0.01661420799791813,
-0.046792738139629364,
-0.054535821080207825,
0.044313836842775345,
-0.0388268306851387,
0.0002328321716049686,
0.03083307296037674,
0.014427760615944862,
-0.009623149409890175,
-0.030276015400886536,
0.04888169839978218,
-0.008515999652445316,
0.03175221383571625,
0.05030219256877899,
-0.028827669098973274,
-0.02427373267710209,
0.05882515758275986,
-0.024023057892918587,
0.03712781146168709,
0.06723670661449432,
0.0387432724237442,
-0.024858642369508743,
0.015527947805821896,
0.018619609996676445,
0.013780183158814907,
0.03687713295221329,
0.018884211778640747,
-0.03239282965660095,
-0.045455802232027054,
0.026293061673641205,
0.003582569072023034,
0.013369353488087654,
-0.03189148008823395,
0.015277272090315819,
-0.012666069902479649,
0.026279136538505554,
-0.02828453853726387,
-0.028744110837578773,
0.01679525151848793,
-0.014058711007237434,
-0.02807564288377762,
0.010319470427930355,
0.00207155360840261,
0.03308914974331856,
0.0382697768509388,
0.0016467979876324534,
-0.026613369584083557,
-0.02051360160112381,
-0.030582396313548088,
-0.019956545904278755,
0.01146839838474989,
-0.05564993619918823,
-0.000904346292372793,
0.04138929024338722,
-0.005793386604636908,
-0.04225272685289383,
0.03473246842622757,
-0.01210901327431202,
-0.04083223640918732,
0.008244435302913189,
-0.0032274455297738314,
0.028660552576184273,
0.03459320217370987,
-0.025151096284389496,
-0.01673954539000988,
-0.00020769935508724302,
0.03946744650602341,
-0.037824131548404694,
0.03102804161608219,
0.02565244771540165,
0.002543310634791851,
-0.0034050073008984327,
0.02196194976568222,
0.0050274343229830265,
-0.00029637140687555075,
0.01788151077926159,
-0.027351468801498413,
0.007311365567147732,
-0.01807648129761219,
-0.03205859661102295,
0.05525999516248703,
0.04030303284525871,
-0.0097415242344141,
0.00615199189633131,
0.011168980970978737,
0.002034996636211872,
-0.026334842666983604,
0.03732277825474739,
-0.04086008667945862,
-0.005243293475359678,
0.019886914640665054,
-0.02068071998655796,
0.0650641918182373,
-0.05556637793779373,
0.22538502514362335,
0.10840317606925964,
0.0901874303817749,
0.01793721690773964,
-0.011927970685064793,
0.05383950099349022,
0.03598584234714508,
-0.05372809246182442,
-0.0030620694160461426,
-0.009393363259732723,
0.010806893929839134,
0.027560366317629814,
0.012819260358810425,
-0.007144248578697443,
-0.020221147686243057,
0.05754392594099045,
-0.03573516756296158,
0.01087652612477541,
-0.01941341534256935,
-0.03208645060658455,
-0.02045789733529091,
-0.017630835995078087,
0.004080438055098057,
-0.007290475536137819,
-0.009226246736943722,
-0.01906525529921055,
-0.007192990742623806,
0.004024732392281294,
-0.010786004364490509,
-0.04470377787947655,
-0.010681556537747383,
-0.03462105616927147,
0.0638943687081337,
0.0034711577463895082,
-0.0033823768608272076,
-0.004421635065227747,
0.0127983707934618,
-0.03372976556420326,
-0.007534187752753496,
0.050859250128269196,
-0.017742246389389038,
-0.007464556023478508,
0.03637578338384628,
-0.060941971838474274,
-0.01100882701575756,
0.023466002196073532,
-0.05305962264537811,
0.025178950279951096,
0.028632698580622673,
-0.030108898878097534,
0.02427373267710209,
-0.05506502464413643,
-0.007004984188824892,
-0.018410714343190193,
-0.05275324359536171,
-0.011029716581106186,
0.03102804161608219,
-0.02183661051094532,
0.004557417705655098,
0.02062501385807991,
0.004957802128046751,
0.03423111513257027,
-0.012735702097415924,
-0.021544156596064568,
-0.011767816729843616,
0.025276433676481247,
-0.008599557913839817,
0.06578835844993591,
-0.024789011105895042,
-0.04019162058830261,
-0.018577830865979195,
-0.06762664765119553,
-0.007346181198954582,
-0.010667630471289158,
0.05052501708269119,
-0.043144017457962036,
-0.05548281967639923,
0.018466420471668243,
0.028883375227451324,
-0.00777093693614006,
0.023758456110954285,
-0.01152410451322794,
-0.04648635908961296,
-0.0006754308706149459,
0.07152604311704636,
0.03957885876297951,
-0.018466420471668243,
-0.032671358436346054,
-0.031362276524305344,
0.021446671336889267,
0.007318328600376844,
-0.00708854291588068,
0.025137171149253845,
-0.03949530050158501,
-0.029245462268590927
] |
1207_3 | Polar neutral side-chains
Two aminoacids contains alcohol side-chains. These do not ionize in normal conditions, though one, serine, becomes deprotonated during the catalysis by serine proteases: this is an example of severe perturbation, and is not characteristic of serine residues in general.
Serine (Ser, S, no when not severely perturbed):
Threonine (Thr, T, no ):
Threonine has two chiral centers, not only the L (2S) chiral center at the α-carbon shared by all amino acids apart from achiral glycine, but also (3R) at the β-carbon. The full stereochemical specification is L-threonine (2S,3R).
Amide side-chains
Two amino acids have amide side-chains, as follows:
Asparagine (Asn, N):
Glutamine (Gln, Q):
These side-chains do not ionize in the normal range of pH.
Sulfur-containing side-chains
Two side-chains contain sulfur atoms, of which one ionizes in the normal range (with indicated) and the other does not:
Cysteine (Cys, C, ):
Methionine (Met, M, no ):
Aromatic side-chains
Three amino acids have aromatic ring structures as side-chains, as illustrated. Of these, tyrosine ionizes in the normal range; the other two do not).
Phenylalanine (Phe, F, no ): left in the illustration
Tyrosine (Tyr, Y, ): middle in the illustration
Tryptophan (Trp, W, no ): right in the illustration | [
-0.055296652019023895,
0.011864552274346352,
0.04067439213395119,
0.006559351459145546,
-0.04705916345119476,
0.03126826137304306,
0.0013512406731024384,
0.006940585095435381,
-0.023258797824382782,
0.055638693273067474,
-0.022560464218258858,
-0.04463636875152588,
-0.025866862386465073,
-0.04061738774180412,
-0.025866862386465073,
0.01708780601620674,
-0.014444112777709961,
-0.026579447090625763,
-0.04432283341884613,
-0.039562761783599854,
0.03178132325410843,
-0.01902603916823864,
-0.06635598093271255,
-0.015377599745988846,
0.021562844514846802,
0.0387931689620018,
-0.00934199895709753,
0.02610914036631584,
0.059743188321590424,
0.050451070070266724,
0.008486895821988583,
0.022018898278474808,
-0.0012345548020675778,
-0.05076460912823677,
-0.0010875839507207274,
-0.032978467643260956,
0.0120213208720088,
-0.033149488270282745,
0.01322559081017971,
0.000043423191527836025,
0.06572891026735306,
-0.006178118288516998,
-0.00463893311098218,
-0.004257699940353632,
-0.04284065589308739,
-0.008437015116214752,
-0.027178019285202026,
-0.014216084964573383,
-0.04338221997022629,
-0.015562872402369976,
0.004663873463869095,
0.02553907223045826,
0.05130617320537567,
0.03218037262558937,
-0.06230849772691727,
-0.018470222130417824,
0.035287246108055115,
-0.04178602620959282,
-0.0607123039662838,
0.028645945712924004,
0.004343210253864527,
0.021078286692500114,
0.007122294511646032,
-0.063334621489048,
0.019439339637756348,
0.048142291605472565,
0.023144785314798355,
0.018741004168987274,
-0.0166460033506155,
-0.014465490356087685,
-0.02903074212372303,
-0.010603276081383228,
-0.03246540576219559,
-0.05469807982444763,
-0.03665541112422943,
0.03269343450665474,
0.016261206939816475,
-0.027106761932373047,
-0.0008965219021774828,
-0.021178048104047775,
-0.046517595648765564,
0.0008934043580666184,
0.03505921736359596,
0.018983284011483192,
-0.0519617535173893,
0.00952727161347866,
-0.03557227924466133,
0.03352003172039986,
0.056892845779657364,
0.04018983617424965,
-0.012398991733789444,
0.05193324759602547,
-0.06664101779460907,
-0.05427052825689316,
0.005714937578886747,
0.01156526617705822,
0.015947667881846428,
0.0009227985283359885,
-0.0017957160016521811,
-0.008957202546298504,
0.00991919357329607,
-0.030698193237185478,
-0.008337252773344517,
0.02767683006823063,
-0.04235609620809555,
0.02020893059670925,
0.03471717610955238,
0.0628785640001297,
-0.06521584838628769,
0.0012247567065060139,
0.01214246079325676,
-0.05301637947559357,
-0.004182878416031599,
-0.007418017368763685,
-0.009755298495292664,
0.009470264427363873,
-0.015292089432477951,
0.01882651448249817,
-0.04734419658780098,
0.029586559161543846,
0.010831302963197231,
-0.016874030232429504,
0.0491684153676033,
0.034574661403894424,
-0.00020074876374565065,
0.025325296446681023,
-0.003154973266646266,
0.035999830812215805,
-0.04574800282716751,
0.015719641000032425,
-0.004852708894759417,
-0.02851768024265766,
0.03352003172039986,
0.021762369200587273,
-0.00990494154393673,
-0.019425086677074432,
-0.021377572789788246,
0.0590020976960659,
0.023344308137893677,
-0.03143928200006485,
0.01929682120680809,
0.00246732821688056,
-0.012997563928365707,
0.06857924908399582,
0.0030819333624094725,
0.0317528210580349,
0.010660282336175442,
-0.031724315136671066,
0.017586616799235344,
-0.024427438154816628,
-0.05267433822154999,
-0.00934199895709753,
-0.029957104474306107,
-0.009947696700692177,
-0.025824107229709625,
0.02655094489455223,
0.016118688508868217,
-0.027277782559394836,
-0.04127296432852745,
-0.012919179163873196,
-0.029871594160795212,
-0.010945316404104233,
0.0150213073939085,
0.020265938714146614,
-0.012755285017192364,
0.009470264427363873,
-0.02465546689927578,
0.007859820500016212,
-0.013047444634139538,
-0.019553352147340775,
-0.01122322492301464,
0.005023729521781206,
-0.0032654241658747196,
0.05789046362042427,
0.011237476952373981,
0.0013049226254224777,
0.059971217066049576,
-0.038878679275512695,
0.02610914036631584,
0.021121041849255562,
-0.03249390795826912,
0.007802813779562712,
0.011686406098306179,
0.041529495269060135,
0.04609004408121109,
-0.01617569662630558,
-0.024541452527046204,
0.0014786154497414827,
0.008465518243610859,
-0.02261747047305107,
-0.0067873792722821236,
0.044921405613422394,
-0.01980988308787346,
-0.026023631915450096,
-0.06681203842163086,
0.00010248986654914916,
-0.03865065053105354,
0.03810908645391464,
-0.02814713679254055,
-0.009634159505367279,
-0.01546311005949974,
0.011536763049662113,
-0.05951515957713127,
-0.003040959592908621,
0.0017306925728917122,
0.02170536108314991,
0.026223154738545418,
0.05444154888391495,
0.02298801578581333,
0.005447717849165201,
0.02516852878034115,
-0.01483603473752737,
-0.019596107304096222,
0.003407941199839115,
-0.04284065589308739,
-0.03970527648925781,
0.01983838714659214,
0.03845112770795822,
-0.0071472348645329475,
-0.0010323586175218225,
-0.01483603473752737,
-0.009456012398004532,
0.002064717235043645,
0.0672110840678215,
0.031724315136671066,
-0.019866889342665672,
0.00849402230232954,
0.022275429219007492,
0.006053415592759848,
-0.017244575545191765,
0.0027951174415647984,
0.0016113345045596361,
-0.01566263474524021,
-0.01009021420031786,
0.03426112234592438,
-0.010710163973271847,
0.05506862699985504,
0.016432227566838264,
0.05039406195282936,
0.025966623798012733,
0.021206552162766457,
-0.0009018662967719138,
0.055125631392002106,
-0.008522525429725647,
0.034945204854011536,
0.04740120470523834,
-0.036170851439237595,
-0.016460729762911797,
-0.05427052825689316,
0.04711616784334183,
-0.04024684056639671,
0.03300696983933449,
0.04965297505259514,
0.02251770906150341,
-0.010147220455110073,
-0.057804953306913376,
0.012170963920652866,
-0.005839640274643898,
-0.030327647924423218,
-0.01627545803785324,
0.0135320033878088,
0.002054028445854783,
-0.0034649481531232595,
0.01834195666015148,
0.027619823813438416,
0.05561019107699394,
0.03736799582839012,
0.03605683892965317,
-0.0037375122774392366,
-0.0470021553337574,
-0.07160061597824097,
-0.02000940777361393,
-0.047771748155355453,
-0.0076104155741631985,
-0.01681702397763729,
-0.040303848683834076,
0.04341072216629982,
-0.03602833300828934,
0.05104964226484299,
0.009334873408079147,
-0.03768153488636017,
-0.026408426463603973,
-0.01801416650414467,
0.013460744172334671,
0.009669788181781769,
0.021420327946543694,
-0.01553436927497387,
0.01259851548820734,
-0.037795547395944595,
0.028603190556168556,
-0.04113044962286949,
-0.02035144902765751,
-0.06561489403247833,
-0.010560520924627781,
-0.0011401372030377388,
0.032607924193143845,
0.028973735868930817,
-0.011814671568572521,
-0.025083018466830254,
0.0030035488307476044,
-0.036569900810718536,
0.021691109985113144,
-0.0235010776668787,
0.01397380605340004,
-0.057434409856796265,
0.05469807982444763,
-0.0068336972035467625,
0.03642738237977028,
0.02930152602493763,
0.03893568366765976,
0.029615063220262527,
0.03303547576069832,
0.007261248771101236,
0.010567646473646164,
-0.030983228236436844,
0.009862186387181282,
0.013211339712142944,
0.0639616921544075,
0.013246968388557434,
-0.056379783898591995,
-0.0226887296885252,
-0.02866019867360592,
0.01888352259993553,
-0.04968147724866867,
0.003482762724161148,
0.05221828073263168,
-0.005640116054564714,
-0.01902603916823864,
0.00888594426214695,
-0.016745764762163162,
-0.034774184226989746,
0.06561489403247833,
0.009413257241249084,
0.013517751358449459,
0.02709250897169113,
0.0018126399954780936,
-0.016432227566838264,
0.03856514021754265,
0.03132526949048042,
0.015719641000032425,
0.030840709805488586,
0.018669746816158295,
-0.008094973862171173,
-0.002720296150073409,
0.037253983318805695,
0.055496178567409515,
0.0008323892252519727,
0.01392392534762621,
-0.04252711683511734,
-0.017216071486473083,
-0.020950021222233772,
0.02445594221353531,
0.010838429443538189,
0.0715436041355133,
0.021007027477025986,
0.04628957062959671,
0.013503499329090118,
0.004670999478548765,
0.017472602427005768,
0.022474953904747963,
-0.009349124506115913,
-0.014964300207793713,
-0.025054514408111572,
-0.010631779208779335,
-0.018798012286424637,
-0.02529679425060749,
0.01073154155164957,
-0.005640116054564714,
0.03309248015284538,
-0.006847948767244816,
0.05820400267839432,
0.01888352259993553,
-0.02669346146285534,
0.007432269398123026,
-0.041215959936380386,
-0.006185244303196669,
0.05729189142584801,
0.032408397644758224,
0.05481209605932236,
-0.03594282269477844,
-0.03503071516752243,
0.01715906523168087,
0.034232620149850845,
0.027904856950044632,
0.027006998658180237,
0.03899269178509712,
-0.04289766028523445,
-0.02448444627225399,
-0.04201405495405197,
0.008159106597304344,
-0.022033151239156723,
-0.029558056965470314,
0.003947725053876638,
-0.021320564672350883,
-0.023515328764915466,
-0.01573389209806919,
-0.011230351403355598,
-0.004172189626842737,
0.002298088977113366,
-0.015619879588484764,
0.004307580646127462,
-0.003149628872051835,
-0.02170536108314991,
0.029415538534522057,
0.0004288875497877598,
-0.015391851775348186,
-0.027719585224986076,
0.03075519949197769,
0.02303077094256878,
0.018185187131166458,
-0.025767100974917412,
0.00912109762430191,
-0.015961920842528343,
-0.012805165722966194,
-0.005062921438366175,
0.03106873854994774,
-0.05894509330391884,
-0.007824190892279148,
-0.019681617617607117,
-0.016033178195357323,
0.019339576363563538,
-0.03890718147158623,
-0.024641213938593864,
0.030327647924423218,
0.02288825437426567,
-0.030869213864207268,
0.030441662296652794,
-0.00009514133125776425,
0.01356763206422329,
0.019211310893297195,
-0.04648909345269203,
0.012085453607141972,
-0.03354853764176369,
-0.004254136700183153,
-0.05649379640817642,
0.0003647548146545887,
0.05498311668634415,
-0.00995482224971056,
-0.007802813779562712,
-0.02851768024265766,
0.0030676815658807755,
0.026137644425034523,
-0.014401357620954514,
-0.05275984853506088,
-0.003488107118755579,
-0.013653142377734184,
0.02580985613167286,
0.02740604802966118,
0.024227915331721306,
0.018669746816158295,
-0.01517807599157095,
-0.03899269178509712,
0.03896418958902359,
-0.03485969454050064,
-0.02465546689927578,
-0.0018634117441251874,
-0.028360912576317787,
-0.019895393401384354,
0.005718500353395939,
-0.008672168478369713,
-0.015591375529766083,
-0.021149544045329094,
0.021719614043831825,
-0.02838941477239132,
-0.025624582543969154,
0.0437527634203434,
-0.040132828056812286,
0.03508772328495979,
0.039562761783599854,
0.009997577406466007,
-0.0012755284551531076,
-0.03947725147008896,
0.011045078746974468,
-0.012691152282059193,
0.009363376535475254,
-0.01415907870978117,
-0.022802744060754776,
0.022389443591237068,
-0.042954668402671814,
-0.04819929972290993,
-0.023629343137145042,
0.010467884130775928,
0.011608021333813667,
-0.05911611393094063,
0.03374806046485901,
-0.03685493394732475,
-0.0270640067756176,
0.0425841249525547,
-0.056721825152635574,
-0.03021363541483879,
0.03585731238126755,
0.0076389191672205925,
0.020408455282449722,
0.002527897944673896,
-0.022403694689273834,
-0.0853392705321312,
-0.009085468016564846,
0.02571009285748005,
0.021691109985113144,
0.018056921660900116,
0.08932974934577942,
-0.03323499858379364,
-0.05273134261369705,
0.04141548275947571,
-0.036911942064762115,
-0.03414710983633995,
-0.007546282839030027,
0.00808784831315279,
-0.007346759084612131,
-0.03126826137304306,
0.022033151239156723,
0.015762396156787872,
-0.01742984727025032,
-0.033292006701231,
0.01963886246085167,
-0.01705930195748806,
0.03303547576069832,
0.013018941506743431,
-0.02030869387090206,
0.029529552906751633,
0.028945231810212135,
-0.01607593335211277,
-0.025325296446681023,
0.023486826568841934,
0.01198569219559431,
-0.0026347858365625143,
0.008465518243610859,
-0.06373366713523865,
-0.011102085933089256,
-0.021448830142617226,
-0.0031567548867315054,
-0.04127296432852745,
0.014265966601669788,
-0.06532985717058182,
0.03374806046485901,
0.008551028557121754,
0.0448358952999115,
0.01868399791419506,
-0.027463054284453392,
-0.01249875407665968,
-0.03970527648925781,
0.02364359423518181,
0.002816495019942522,
-0.02288825437426567,
-0.04822780191898346,
-0.012149586342275143,
-0.014558126218616962,
0.03537275642156601,
-0.03377656266093254,
0.015833655372262,
0.037253983318805695,
-0.02221842296421528,
0.031866833567619324,
0.006406145635992289,
-0.025353800505399704,
-0.02045121043920517,
0.022389443591237068,
0.040275346487760544,
-0.015676885843276978,
0.029387036338448524,
-0.038536638021469116,
0.02573859691619873,
-0.032094862312078476,
0.02360083907842636,
0.0007041237549856305,
-0.005429903510957956,
0.010681659914553165,
-0.02777659147977829,
0.06316360086202621,
0.005102113820612431,
-0.011600895784795284,
0.013246968388557434,
0.04657460376620293,
-0.03269343450665474,
-0.0029910786543041468,
-0.032750438898801804,
-0.032265882939100266,
-0.056208763271570206,
-0.04839882254600525,
0.05330141261219978,
-0.017344336956739426,
-0.00585032906383276,
-0.015577124431729317,
-0.005301638040691614,
0.04933943599462509,
-0.0765032023191452,
0.034403640776872635,
0.03523023799061775,
-0.008265994489192963,
0.006937022320926189,
-0.021919136866927147,
0.030612682923674583,
-0.012612767517566681,
-0.013332478702068329,
-0.004966722335666418,
0.04865535348653793,
-0.02814713679254055,
0.030983228236436844,
-0.014486867934465408,
-0.016232702881097794,
-0.0056686196476221085,
-0.00946313887834549,
0.02458420768380165,
0.004279077518731356,
0.056037742644548416,
0.01433009933680296,
-0.038308609277009964,
-0.009007083252072334,
0.05330141261219978,
0.01882651448249817,
0.02910200133919716,
0.05449855700135231,
-0.0262516587972641,
-0.014265966601669788,
-0.004229196347296238,
0.043182697147130966,
-0.008465518243610859,
-0.03890718147158623,
0.04412330687046051,
-0.002902005333453417,
-0.019011788070201874,
0.029586559161543846,
0.021676858887076378,
-0.026023631915450096,
-0.034546155482530594,
-0.0105320168659091,
-0.0009521926986053586,
-0.031923841685056686,
-0.008558155037462711,
-0.02414240501821041,
0.008458392694592476,
-0.03699745237827301,
-0.03802357614040375,
-0.01573389209806919,
-0.006744624115526676,
0.012299229390919209,
-0.008593783713877201,
-0.02709250897169113,
0.01885501854121685,
-0.027377543970942497,
0.05808999016880989,
-0.04574800282716751,
-0.005404962692409754,
-0.01563413068652153,
0.023999886587262154,
-0.0033242125064134598,
-0.030812207609415054,
0.04426582530140877,
0.012926305644214153,
0.045662492513656616,
-0.004065301734954119,
-0.002706044353544712,
0.019866889342665672,
0.006488093174993992,
-0.015577124431729317,
0.06122536584734917,
0.0038693405222147703,
-0.0026240970473736525,
-0.007845568470656872,
-0.010289737954735756,
0.032237377017736435,
0.014693518169224262,
0.008551028557121754,
-0.00008929589967010543,
0.027562815696001053,
0.03685493394732475,
0.020664986222982407,
-0.031866833567619324,
0.021691109985113144,
-0.030413158237934113,
-0.027106761932373047,
-0.005412088707089424,
-0.0717146247625351,
0.002638348611071706,
0.03984779492020607,
-0.030498668551445007,
-0.0020112732890993357,
-0.039249222725629807,
0.011992817744612694,
0.019524849951267242,
0.024797983467578888,
-0.029900098219513893,
-0.007574786432087421,
-0.03346302732825279,
-0.015933416783809662,
-0.019966652616858482,
-0.006263628602027893,
-0.046004533767700195,
-0.0012149587273597717,
-0.012648397125303745,
-0.009755298495292664,
0.012527257204055786,
0.029558056965470314,
-0.03212336450815201,
0.03409010171890259,
-0.009662662632763386,
-0.033149488270282745,
-0.02828965336084366,
0.008729175664484501,
-0.013040319085121155,
0.047087665647268295,
0.027862101793289185,
-0.03149629011750221,
0.017387092113494873,
0.029729077592492104,
-0.011657902970910072,
-0.025781352072954178,
-0.022845499217510223,
0.021035531535744667,
-0.033691052347421646,
-0.021149544045329094,
-0.01902603916823864,
0.017458351328969002,
-0.04791426658630371,
-0.02221842296421528,
-0.04497841000556946,
-0.0001797052100300789,
0.04554848000407219,
-0.003219106001779437,
0.0034489149693399668,
0.057263389229774475,
0.016360968351364136,
-0.043125689029693604,
0.018370460718870163,
0.0035237364936619997,
0.03497370705008507,
-0.03468867391347885,
0.02893098071217537,
-0.04449385404586792,
0.0051484317518770695,
-0.04093092307448387,
0.0053443931974470615,
0.0061211115680634975,
0.03505921736359596,
0.02868870086967945,
0.03585731238126755,
0.03950575366616249,
0.009384754113852978,
-0.050109028816223145,
-0.01403793878853321,
-0.033691052347421646,
0.04705916345119476,
-0.058004479855298996,
-0.010118717327713966,
-0.02010916918516159,
-0.0617954358458519,
-0.006858637556433678,
-0.00849402230232954,
-0.0032511723693460226,
0.0033402456901967525,
-0.013403737917542458,
-0.00394416181370616,
-0.054954610764980316,
-0.02804737538099289,
0.0066199214197695255,
-0.01767212711274624,
0.006929896306246519,
-0.03143928200006485,
-0.001109852222725749,
0.010083087719976902,
0.030641186982393265,
-0.0278763547539711,
-0.020950021222233772,
-0.02360083907842636,
0.00550116179510951,
-0.035287246108055115,
-0.01600467599928379,
0.018185187131166458,
0.014016561210155487,
-0.007460772525519133,
-0.030498668551445007,
-0.040104325860738754,
0.001815312192775309,
-0.028631694614887238,
0.04551997780799866,
-0.02489774487912655,
-0.053500935435295105,
-0.05181923508644104,
0.016132941469550133,
-0.029729077592492104,
-0.0166460033506155,
-0.02632291615009308,
0.002223267452791333,
-0.03163880482316017,
-0.027648326009511948,
-0.026636455208063126,
-0.012235096655786037,
0.07142959535121918,
-0.02143457904458046,
-0.003069462953135371,
0.03753901645541191,
-0.019710121676325798,
-0.013546254485845566,
0.0037090086843818426,
-0.004920404404401779,
-0.00790257565677166,
0.0011748757679015398,
0.010068836621940136,
0.015847906470298767,
0.002716733142733574,
0.007532031275331974,
0.018170936033129692,
-0.024256417527794838,
-0.021947640925645828,
0.007760058622807264,
0.009035587310791016,
0.000950411194935441,
-0.01705930195748806,
0.01784314587712288,
0.03505921736359596,
0.023144785314798355,
0.004204255994409323,
0.0057042487896978855,
-0.01966736651957035,
0.02740604802966118,
0.027748089283704758,
0.0031122181098908186,
-0.05734889954328537,
-0.00629925774410367,
-0.022574715316295624,
-0.0054192147217690945,
0.041558001190423965,
0.058660056442022324,
-0.0031211255118250847,
-0.005255319643765688,
0.09947697073221207,
-0.007667422294616699,
0.008907321840524673,
0.06681203842163086,
-0.021520089358091354,
0.008159106597304344,
-0.009783802554011345,
-0.005657930858433247,
-0.006217310670763254,
0.04358174279332161,
0.01804267056286335,
-0.03303547576069832,
-0.05789046362042427,
0.024427438154816628,
-0.05287386104464531,
0.01553436927497387,
0.013717275112867355,
0.005747003946453333,
-0.016232702881097794,
-0.026394175365567207,
0.041158951818943024,
-0.05076460912823677,
0.04093092307448387,
0.032807447016239166,
-0.06470278650522232,
-0.018156684935092926,
0.039391741156578064,
-0.005137742962688208,
0.05122066289186478,
0.012078328058123589,
0.04988100007176399,
-0.03158180043101311,
0.05176222696900368,
0.05324440449476242,
0.053671956062316895,
0.053700461983680725,
0.01953910104930401,
-0.028845470398664474,
-0.05991420894861221,
0.000562052009627223,
-0.006007097661495209,
0.032579418271780014,
-0.01220659352838993,
-0.0031995100434869528,
0.009712543338537216,
0.02848917804658413,
-0.047828756272792816,
-0.0149072939530015,
0.03380506858229637,
0.0016915004234761,
0.017116310074925423,
0.021277809515595436,
0.03468867391347885,
0.04198555275797844,
0.0016576525522395968,
0.007995211519300938,
-0.012085453607141972,
-0.001581940334290266,
-0.006317072547972202,
0.008643665350973606,
0.011151966638863087,
-0.0464605912566185,
-0.03728248551487923,
0.03810908645391464,
-0.0011000542435795069,
0.008579532615840435,
0.05019453912973404,
-0.021391823887825012,
-0.05569570139050484,
-0.019995154812932014,
-0.0210640337318182,
0.08340103179216385,
0.00870067160576582,
-0.045662492513656616,
0.0049631595611572266,
0.02367209829390049,
0.026764720678329468,
-0.011037953197956085,
0.023315805941820145,
-0.007895450107753277,
-0.02573859691619873,
-0.0011695313733071089,
0.014722021296620369,
0.01713056117296219,
0.010831302963197231,
0.007817065343260765,
-0.042071063071489334,
0.032265882939100266,
-0.008280246518552303,
-0.03249390795826912,
0.041158951818943024,
0.04361024871468544,
0.03203785419464111,
0.0030623371712863445,
0.005618738476186991,
0.004710191860795021,
-0.042242083698511124,
0.03696894645690918,
-0.0009628814877942204,
-0.001756523852236569,
0.030470166355371475,
-0.0019934584852308035,
0.06168141961097717,
-0.032436903566122055,
0.23920078575611115,
0.10084513574838638,
0.042954668402671814,
0.03180982545018196,
-0.00217873090878129,
0.05432753637433052,
0.019154304638504982,
-0.06493081152439117,
0.0030783703550696373,
0.014280217699706554,
0.014807531610131264,
0.018940528854727745,
0.012961934320628643,
-0.023957133293151855,
0.009862186387181282,
0.06977639347314835,
-0.04409480467438698,
0.0023426255211234093,
-0.007916827686131,
-0.023444071412086487,
-0.003887155093252659,
-0.027377543970942497,
0.021719614043831825,
-0.0023159035481512547,
0.021676858887076378,
-0.01170065812766552,
0.003635968780145049,
-0.008771930821239948,
-0.018741004168987274,
-0.005401399917900562,
-0.02414240501821041,
-0.028873974457383156,
0.07787136733531952,
0.021719614043831825,
-0.015548620373010635,
-0.011950062587857246,
-0.00018638570327311754,
-0.03411860391497612,
0.03571479767560959,
0.034375134855508804,
-0.032436903566122055,
-0.024028390645980835,
-0.004236322361975908,
-0.012263600714504719,
-0.02143457904458046,
0.02716376818716526,
-0.008016589097678661,
0.03409010171890259,
0.029900098219513893,
-0.01317571010440588,
0.015505865216255188,
-0.06145339459180832,
0.019040290266275406,
-0.01032536756247282,
-0.052246786653995514,
-0.020394204184412956,
-0.003110436722636223,
0.007304003927856684,
0.036370374262332916,
0.010817051865160465,
0.021577095612883568,
0.00555460574105382,
-0.01341086346656084,
0.006562914699316025,
0.011793293990194798,
0.019239814952015877,
0.009206607937812805,
0.06641299277544022,
-0.05170522257685661,
-0.009534397162497044,
-0.02618039958178997,
-0.052275288850069046,
-0.012612767517566681,
-0.029244517907500267,
0.022916756570339203,
-0.018284950405359268,
-0.06692605465650558,
0.010040332563221455,
0.05281685292720795,
-0.032408397644758224,
-0.00098604045342654,
0.012441746890544891,
-0.06971938908100128,
0.002323029562830925,
0.06430373340845108,
0.05595223233103752,
-0.019439339637756348,
0.007539157290011644,
-0.0492539256811142,
0.011665028519928455,
0.008608035743236542,
0.007923953235149384,
0.014622258953750134,
-0.03605683892965317,
-0.061567407101392746
] |
1207_4 | Anionic side-chains
Two amino acids have side-chains that are anions at ordinary pH. Although the misnomer is so widespread as to be ineradicable, they should not be called acidic amino acids, because they act as Brønsted bases in all circumstances except for enzymes like pepsin that act in environments of very low pH like the mammalian stomach.
Aspartate (not "aspartic acid", Asp, D, ):
Glutamate (not "glutamic acid", Glu, E, ):
Cationic side-chains
There are three amino acids with side-chains that are cations at neutral pH (though in one, histidine, cationic and neutral forms both exist). They are commonly called basic amino acids, but this term is misleading: histidine can act both as a Brønsted acid and as a Brønsted base at neutral pH, lysine acts as a Brønsted acid, and arginine has a fixed positive charge and does not ionize in neutral conditions. The names histidinium, lysinium and argininium would be more accurate names for the structures, but have essentially no currency.
Histidine (His, H, ): Protonated and deprotonated forms in equilibrium are shown at the left of the image
Lysine (Lys, K, ): Shown in the middle of the image
Arginine (Arg, R, ): Shown at the right of the image
β- and γ-amino acids
Amino acids with the structure , such as β-alanine, a component of carnosine and a few other peptides, are β-amino acids. Ones with the structure are γ-amino acids, and so on, where X and Y are two substituents (one of which is normally H).
Zwitterions
In aqueous solution amino acids at moderate pH exist as zwitterions, i.e. as dipolar ions with both and in charged states, so the overall structure is . At physiological pH the so-called "neutral forms" are not present to any measurable degree. Although the two charges in the real structure add up to zero it is misleading and wrong to call a species with a net charge of zero "uncharged". | [
-0.023348050191998482,
0.004121317993849516,
0.02809358946979046,
-0.002825420582666993,
-0.04678371176123619,
0.05542789027094841,
0.021946290507912636,
0.010199257172644138,
-0.0083229448646307,
0.062144652009010315,
-0.014952097088098526,
-0.0254506878554821,
0.006198403425514698,
-0.04920758679509163,
-0.0457615926861763,
0.014090599492192268,
-0.017025532200932503,
-0.009520280174911022,
-0.057150885462760925,
-0.041935957968235016,
0.0012429660419002175,
-0.0031959377229213715,
-0.05052173510193825,
0.008001708425581455,
0.023275041952729225,
0.044038597494363785,
0.011316284537315369,
-0.006034134887158871,
0.025815730914473534,
0.035365212708711624,
0.023377252742648125,
0.0028235954232513905,
0.01597421243786812,
-0.05455179139971733,
0.0024749808944761753,
-0.02155204676091671,
0.03831474855542183,
-0.032707713544368744,
0.007753480225801468,
-0.008315644226968288,
0.06675877422094345,
-0.02277858555316925,
-0.015463154762983322,
-0.02010648138821125,
-0.06045086309313774,
0.00811852142214775,
-0.014981300570070744,
-0.0045155626721680164,
-0.05195269733667374,
-0.012389506213366985,
0.015945009887218475,
0.043279312551021576,
0.04730936884880066,
0.013718256726861,
-0.040826234966516495,
-0.041497908532619476,
0.010301468893885612,
-0.044943902641534805,
-0.046929728239774704,
-0.0059720780700445175,
-0.02587413601577282,
0.017302963882684708,
0.016485271975398064,
-0.02975817769765854,
0.011294381693005562,
0.052040304988622665,
-0.002330789575353265,
0.029466144740581512,
0.007257023826241493,
-0.013696354813873768,
-0.06710921972990036,
-0.003599308431148529,
0.012980873696506023,
-0.06243668496608734,
-0.023625481873750687,
0.0229830089956522,
0.03375903144478798,
-0.02864845097064972,
-0.019960464909672737,
-0.013455427251756191,
-0.064948171377182,
-0.015112715773284435,
0.017960038036108017,
0.023727692663669586,
-0.04231560230255127,
0.006519639864563942,
-0.07265784591436386,
0.03121834248304367,
0.015375545248389244,
0.053588081151247025,
0.015360943041741848,
0.059603966772556305,
-0.03700060024857521,
-0.030050210654735565,
0.014404535293579102,
0.0027195587754249573,
-0.01912817172706127,
0.00972470361739397,
-0.014864487573504448,
-0.001372555736452341,
0.010235762223601341,
0.0013424399076029658,
-0.003442340763285756,
0.030400650575757027,
-0.012572026811540127,
0.042841263115406036,
-0.020383913069963455,
0.030751090496778488,
-0.06985432654619217,
0.015025105327367783,
0.014922893606126308,
-0.019639229401946068,
-0.016587482765316963,
-0.03597848489880562,
-0.016266245394945145,
0.0011024251580238342,
-0.012615831568837166,
0.04996687173843384,
-0.044827088713645935,
0.016704296693205833,
0.004373196512460709,
-0.010045940056443214,
0.024370165541768074,
0.034489113837480545,
-0.022457348182797432,
0.01144769974052906,
-0.017040133476257324,
0.030459057539701462,
-0.04865272343158722,
-0.008045513182878494,
-0.012148578651249409,
-0.024691402912139893,
0.02345026098191738,
0.03501477465033531,
-0.03545282408595085,
-0.008593074977397919,
-0.05680044740438461,
0.026837846264243126,
0.024370165541768074,
-0.018193665891885757,
0.004022756591439247,
-0.014740373007953167,
-0.01631005108356476,
0.04929519444704056,
0.012316497974097729,
0.037818294018507004,
0.006902933586388826,
-0.017302963882684708,
0.005223742686212063,
0.0017312089912593365,
-0.03244488313794136,
-0.01657288148999214,
-0.016967125236988068,
-0.006169200409203768,
-0.037613868713378906,
0.05720929428935051,
0.013302110135555267,
0.006618201266974211,
-0.015930408611893654,
-0.0021811225451529026,
-0.02121620811522007,
-0.030488260090351105,
0.03518999367952347,
-0.019420204684138298,
-0.0166458897292614,
0.013002775609493256,
-0.024822818115353584,
0.0424032136797905,
-0.018485698848962784,
-0.019084366038441658,
0.005493873730301857,
0.03165639191865921,
-0.01527333352714777,
0.04684211686253548,
0.013783964328467846,
0.04517752677202225,
0.05461019650101662,
-0.03951208293437958,
0.025056444108486176,
0.02055913396179676,
-0.0038876913022249937,
0.013484630733728409,
-0.005490222945809364,
0.054055336862802505,
0.034167878329753876,
-0.01405409537255764,
-0.02920331433415413,
-0.0030681733042001724,
0.012827555648982525,
-0.0459660179913044,
-0.006096191704273224,
0.04135189205408096,
-0.009921826422214508,
0.02578652650117874,
-0.059019897133111954,
0.020617540925741196,
-0.03875279799103737,
0.05128102004528046,
-0.032269664108753204,
-0.010359875857830048,
-0.0009481951128691435,
0.029466144740581512,
-0.0457615926861763,
0.003522649873048067,
-0.00967359822243452,
0.03253249078989029,
0.03495636582374573,
0.04541115462779999,
0.025801127776503563,
0.023829905316233635,
0.008235334418714046,
-0.007841089740395546,
-0.015477756969630718,
-0.0072095682844519615,
-0.04640406742691994,
-0.03101392090320587,
0.01471116952598095,
-0.008082017302513123,
-0.05113500356674194,
0.012812954373657703,
-0.002173821674659848,
-0.0022851594258099794,
0.0052748485468328,
0.06769328564405441,
0.012754547409713268,
0.014864487573504448,
0.037730682641267776,
-0.007216868922114372,
-0.015623773448169231,
-0.020164888352155685,
-0.014769576489925385,
0.019391000270843506,
-0.022749383002519608,
-0.003486145753413439,
0.0166458897292614,
-0.035920076072216034,
0.04833148419857025,
0.0313059538602829,
0.02199009619653225,
0.02730509825050831,
0.027480319142341614,
-0.0006360847037285566,
0.029612161219120026,
-0.02356707490980625,
0.043834175914525986,
0.0071256086230278015,
-0.047601401805877686,
-0.002807168522849679,
-0.06167740002274513,
0.04868192598223686,
-0.037935104221105576,
0.020048076286911964,
0.057034075260162354,
0.010535095818340778,
-0.014791478402912617,
-0.064948171377182,
0.01011164765805006,
-0.022267527878284454,
-0.03942447528243065,
-0.02276398427784443,
0.011221373453736305,
0.00894351489841938,
-0.022033900022506714,
0.014265819452702999,
0.027932969853281975,
0.049937669187784195,
0.015798993408679962,
0.039920929819345474,
0.008622278459370136,
-0.06313756853342056,
-0.057822562754154205,
-0.021917087957262993,
-0.04552796855568886,
0.005366108845919371,
-0.020924175158143044,
-0.03662095591425896,
0.03501477465033531,
-0.02753872610628605,
0.041585519909858704,
0.009564085863530636,
-0.0313059538602829,
-0.03875279799103737,
-0.030254634097218513,
0.012929767370223999,
0.012396806851029396,
0.006286013405770063,
-0.035832468420267105,
0.022384339943528175,
-0.02588873915374279,
0.009301255457103252,
-0.03498557209968567,
-0.01266693789511919,
-0.02400512434542179,
0.005241994746029377,
-0.009899923577904701,
0.023362651467323303,
0.005012019071727991,
-0.00932315830141306,
-0.018149860203266144,
-0.020164888352155685,
-0.04646247252821922,
0.0037854795809835196,
0.00027651889831759036,
0.04184835031628609,
-0.03577405959367752,
0.05352967604994774,
-0.019624628126621246,
0.02531927451491356,
0.01588660292327404,
0.013258304446935654,
0.04456425830721855,
0.024194946512579918,
0.0038037316408008337,
0.015214926563203335,
-0.01734676957130432,
0.027947572991251945,
0.013360516168177128,
0.0843975767493248,
-0.006391875445842743,
-0.06121014803647995,
-0.025582103058695793,
-0.02034010924398899,
0.022282129153609276,
-0.05206951126456261,
0.0038037316408008337,
0.054142944514751434,
-0.0008450709283351898,
-0.045936815440654755,
0.029407737776637077,
-0.02542148530483246,
-0.019975068047642708,
0.021931689232587814,
0.006344419904053211,
-0.0061326962895691395,
0.0330873541533947,
-0.013345914892852306,
0.04453505575656891,
0.029524551704525948,
0.009607890620827675,
0.005424515809863806,
0.011075356975197792,
0.02555290050804615,
-0.0005598823190666735,
0.002622822765260935,
0.01798924244940281,
0.047835029661655426,
-0.034810349345207214,
0.000997475697658956,
0.0034697188530117273,
0.006891982164233923,
-0.015112715773284435,
0.029305526986718178,
-0.024297157302498817,
0.04920758679509163,
0.025509094819426537,
0.03279532119631767,
0.029305526986718178,
-0.01189304981380701,
-0.021055590361356735,
0.019522415474057198,
0.0032525190617889166,
-0.008739091455936432,
-0.021303817629814148,
-0.06354641169309616,
-0.009761207737028599,
-0.025465290993452072,
-0.022822391241788864,
0.012367603369057178,
0.02676483802497387,
-0.006318867206573486,
0.04961642995476723,
0.0017129569314420223,
0.01076872181147337,
-0.027144480496644974,
-0.029509948566555977,
0.005694646388292313,
0.06045086309313774,
0.04307488724589348,
0.06512339413166046,
-0.056712836027145386,
-0.007643967401236296,
0.03951208293437958,
-0.020836565643548965,
0.016295449808239937,
0.03510238602757454,
0.06021723523736,
-0.040826234966516495,
0.02577192522585392,
-0.03857757896184921,
-0.007198616862297058,
-0.01444103941321373,
-0.005742101930081844,
-0.007319080643355846,
-0.0009053027606569231,
-0.004278285428881645,
-0.0059319231659173965,
-0.004920758306980133,
0.0069138845428824425,
-0.016280848532915115,
0.002938583493232727,
0.027027668431401253,
-0.00888510886579752,
-0.0006178326439112425,
0.022632569074630737,
0.018412690609693527,
-0.0031065025832504034,
-0.017361370846629143,
0.004840449430048466,
0.015798993408679962,
0.003042620373889804,
-0.025582103058695793,
-0.01066651102155447,
-0.009534882381558418,
-0.005428166128695011,
-0.028225002810359,
0.010286867618560791,
-0.025830332189798355,
0.012353002093732357,
-0.015229528769850731,
-0.002819945104420185,
0.032036036252975464,
-0.03495636582374573,
-0.005570532288402319,
0.03177320584654808,
0.01272534392774105,
-0.018748527392745018,
0.04073862358927727,
0.01349923200905323,
0.05791017413139343,
0.011440398171544075,
-0.016616685315966606,
0.016514474526047707,
-0.03650414198637009,
-0.02787456288933754,
-0.04287046566605568,
0.033174965530633926,
0.03758466616272926,
-0.01371095608919859,
0.038606781512498856,
-0.027743149548768997,
0.006300615146756172,
0.005833362229168415,
0.008461660705506802,
-0.035598840564489365,
-0.007311780005693436,
-0.02311442419886589,
0.03767227753996849,
0.03968730568885803,
-0.005993980448693037,
-0.0012840332929044962,
0.004581269808113575,
-0.04167313128709793,
0.021946290507912636,
-0.04056340456008911,
-0.013805867172777653,
0.030050210654735565,
-0.03478114679455757,
-0.02231133170425892,
-0.017726412042975426,
-0.006326167844235897,
-0.02286619506776333,
-0.04030057415366173,
0.014411835931241512,
-0.02342105843126774,
0.0034222635440528393,
0.024954231455922127,
-0.06132696196436882,
0.024238750338554382,
0.03521919623017311,
0.032269664108753204,
0.004928059410303831,
-0.05063854902982712,
0.028721459209918976,
-0.03825634345412254,
0.03878200054168701,
-0.031130732968449593,
-0.030926309525966644,
0.017142346128821373,
-0.040943048894405365,
-0.05297481268644333,
-0.012681539170444012,
0.025041842833161354,
0.03358381241559982,
-0.04018376022577286,
0.047163352370262146,
-0.040154557675123215,
0.023187432438135147,
0.030283836647868156,
-0.06751806288957596,
-0.0622030608355999,
0.03653334826231003,
0.026151567697525024,
0.004285586532205343,
0.043717361986637115,
0.0006328905583359301,
-0.05545709282159805,
-0.017186149954795837,
0.008315644226968288,
0.013689054176211357,
0.0004918933263979852,
0.07119768112897873,
-0.009315857663750648,
-0.019186576828360558,
0.03729263320565224,
-0.02832721546292305,
0.013207199051976204,
-0.007826488465070724,
-0.001002951292321086,
-0.03796431049704552,
0.004723635967820883,
0.022924602031707764,
0.05297481268644333,
0.005022970028221607,
-0.012455213814973831,
0.03831474855542183,
-0.0029696121346205473,
0.0513102225959301,
0.035365212708711624,
-0.04032977670431137,
0.03165639191865921,
0.023713091388344765,
0.013689054176211357,
-0.05285799875855446,
0.04164392501115799,
0.002750587183982134,
0.0036850932519882917,
0.014784177765250206,
-0.05840662866830826,
0.0009235548204742372,
-0.01600341685116291,
0.01371095608919859,
-0.045381952077150345,
-0.03662095591425896,
-0.07622065395116806,
0.03419708088040352,
0.01505430880934,
0.026852447539567947,
0.02832721546292305,
-0.01655828021466732,
-0.02254495956003666,
-0.04222799465060234,
0.006391875445842743,
0.01222888845950365,
-0.03866519033908844,
-0.0437757670879364,
0.003382108872756362,
-0.017521988600492477,
0.04400939494371414,
-0.028809070587158203,
0.005986679345369339,
0.05385091155767441,
0.01800384372472763,
0.02599094994366169,
0.030926309525966644,
-0.007019746582955122,
-0.04354214295744896,
0.0175365898758173,
0.04287046566605568,
-0.003997203893959522,
0.045381952077150345,
-0.011973358690738678,
0.030137820169329643,
-0.05630398914217949,
-0.0076147643849253654,
-0.010965844616293907,
0.0014099725522100925,
0.008359448984265327,
-0.06354641169309616,
0.02353787235915661,
0.0016326478216797113,
-0.02945154346525669,
-0.004369545727968216,
0.05034651607275009,
-0.003079124493524432,
-0.021844079717993736,
-0.058932289481163025,
-0.03720502182841301,
-0.04278285428881645,
-0.04196516424417496,
0.03311656042933464,
-0.026078559458255768,
-0.006939437706023455,
-0.047163352370262146,
-0.02052992954850197,
0.05688805505633354,
-0.05945795029401779,
0.021522842347621918,
0.04243241623044014,
-0.01578439213335514,
-0.010637307539582253,
-0.008600376546382904,
0.03101392090320587,
-0.013236402533948421,
-0.024618394672870636,
-0.002297935774549842,
0.04590760916471481,
-0.015959611162543297,
0.0048879049718379974,
-0.025363078340888023,
-0.015156520530581474,
0.0037526260130107403,
0.024603793397545815,
0.029524551704525948,
0.0039497483521699905,
0.028487833216786385,
0.012564726173877716,
-0.036036890000104904,
0.01106075569987297,
0.0568588525056839,
-0.00754905678331852,
0.029933396726846695,
0.043717361986637115,
-0.018281275406479836,
0.012338400818407536,
-0.0005507562891580164,
0.017025532200932503,
-0.021931689232587814,
-0.03667936474084854,
0.04073862358927727,
-0.020194092765450478,
-0.011235975660383701,
0.04707574471831322,
0.015798993408679962,
-0.018164461478590965,
-0.024910427629947662,
0.0237714983522892,
0.021741867065429688,
-0.026253780350089073,
0.009512979537248611,
-0.03235727176070213,
0.01388617604970932,
-0.0342554897069931,
-0.04289966821670532,
-0.018281275406479836,
-0.009805012494325638,
0.019829049706459045,
-0.016076425090432167,
-0.009987534023821354,
0.0030535715632140636,
-0.014791478402912617,
0.0530916266143322,
-0.027392709627747536,
-0.022252926602959633,
-0.0005594259710051119,
0.0368545837700367,
-0.01820826716721058,
-0.036474939435720444,
0.053383659571409225,
-0.001765887951478362,
0.036474939435720444,
0.005457369610667229,
0.02242814563214779,
0.018237469717860222,
0.015346341766417027,
-0.060275640338659286,
0.0641888827085495,
0.0030079414136707783,
-0.019391000270843506,
0.02431175857782364,
0.002212151186540723,
0.05020049959421158,
0.012396806851029396,
-0.002113589784130454,
-0.029057297855615616,
0.030079413205385208,
0.02854624018073082,
-0.001890914631076157,
-0.009410767816007137,
-0.013243703171610832,
-0.0728914737701416,
-0.05206951126456261,
-0.019040560349822044,
-0.06804372370243073,
0.021814875304698944,
0.021187005564570427,
-0.015010504052042961,
-0.003975301049649715,
-0.04176073893904686,
0.02355247363448143,
0.015127317048609257,
0.02730509825050831,
-0.017521988600492477,
0.014922893606126308,
-0.025961747393012047,
-0.02055913396179676,
-0.03174400329589844,
0.010286867618560791,
-0.006610900163650513,
-0.00838135089725256,
-0.05729690194129944,
-0.0328829325735569,
0.009447271935641766,
0.01733216643333435,
-0.028035182505846024,
0.02831261418759823,
-0.0029750876128673553,
-0.031597986817359924,
-0.012133977375924587,
0.03869439288973808,
0.01432422548532486,
0.0328829325735569,
0.018398087471723557,
-0.031043123453855515,
-0.009644394740462303,
0.017171548679471016,
-0.03253249078989029,
-0.02711527794599533,
0.0067934212274849415,
0.02442857250571251,
-0.05974998325109482,
-0.017492786049842834,
-0.034810349345207214,
0.06231987476348877,
-0.07697993516921997,
-0.018135258927941322,
-0.02609316073358059,
0.017244556918740273,
0.053266845643520355,
-0.003703345311805606,
0.015214926563203335,
0.06903663277626038,
0.026370592415332794,
-0.03022543154656887,
0.012148578651249409,
-0.008753693662583828,
0.007483349181711674,
-0.014645461924374104,
0.02920331433415413,
-0.04044659063220024,
0.00605603726580739,
-0.05040492117404938,
-0.015857400372624397,
0.02321663498878479,
-0.024910427629947662,
0.007841089740395546,
0.014251217246055603,
0.034839555621147156,
-0.0342554897069931,
-0.02422414906322956,
-0.03010861761868,
-0.010739519260823727,
0.0328829325735569,
-0.05201110243797302,
-0.023698490113019943,
-0.021362224593758583,
-0.021508241072297096,
0.0048879049718379974,
-0.05011288821697235,
-0.011184869334101677,
-0.006267761345952749,
0.012367603369057178,
-0.007355584762990475,
-0.05697566643357277,
-0.04640406742691994,
0.02600555121898651,
0.0020259800367057323,
0.012353002093732357,
-0.04500230774283409,
-0.042607635259628296,
0.009629792533814907,
0.011031552217900753,
-0.009469174779951572,
-0.03676697239279747,
0.00030321255326271057,
-0.043921783566474915,
-0.034284692257642746,
-0.028239605948328972,
0.027859961614012718,
0.018967552110552788,
0.006866429466754198,
-0.06623312085866928,
-0.04065101221203804,
-0.01033067237585783,
-0.008972718380391598,
0.047367777675390244,
-0.027480319142341614,
-0.031919222325086594,
-0.028619248420000076,
0.037380240857601166,
-0.030079413205385208,
-0.03133515641093254,
0.00012582521594595164,
-0.0034569422714412212,
-0.0033784585539251566,
-0.020851166918873787,
-0.011206772178411484,
0.016718897968530655,
0.07581180334091187,
0.0004328022478148341,
0.0366501584649086,
0.04964563623070717,
0.002792567014694214,
-0.022720178589224815,
0.019244983792304993,
0.03764307126402855,
0.01887994259595871,
0.00894351489841938,
-0.014937495812773705,
0.0024403019342571497,
0.0040264069102704525,
0.02911570481956005,
-0.008082017302513123,
-0.021917087957262993,
-0.0162370428442955,
0.012842157855629921,
-0.008534668944776058,
0.012973572127521038,
-0.008206131868064404,
0.009067629463970661,
0.04176073893904686,
0.019478611648082733,
-0.02888207882642746,
0.012075570411980152,
-0.02098258212208748,
0.007257023826241493,
0.012119375169277191,
0.00005863478145329282,
-0.03857757896184921,
0.005815110169351101,
0.000501475646160543,
-0.007738878484815359,
0.03355460986495018,
0.03586167097091675,
-0.013345914892852306,
-0.013689054176211357,
0.11476902663707733,
-0.021741867065429688,
0.015594569966197014,
0.048827942460775375,
-0.04923678934574127,
0.011476902291178703,
-0.022924602031707764,
0.008578473702073097,
0.004957262426614761,
0.05020049959421158,
-0.0006442981539294124,
-0.0026958310045301914,
-0.036474939435720444,
0.043162498623132706,
-0.04050499573349953,
-0.018631715327501297,
0.035803262144327164,
-0.0023563425056636333,
-0.025815730914473534,
-0.022457348182797432,
0.051923494786024094,
-0.052507560700178146,
0.04687131941318512,
0.014535949565470219,
-0.0364457368850708,
-0.01271804329007864,
0.025596706196665764,
0.00024800002574920654,
0.04065101221203804,
0.03577405959367752,
0.04573239013552666,
-0.016864914447069168,
0.03521919623017311,
0.017521988600492477,
0.022048503160476685,
0.023800700902938843,
0.004614123608916998,
-0.018193665891885757,
-0.07551977038383484,
-0.00322149065323174,
-0.017726412042975426,
0.011841944418847561,
-0.015287934802472591,
-0.006665656343102455,
0.0056690932251513,
0.04152711480855942,
-0.019464008510112762,
-0.023056017234921455,
0.036036890000104904,
0.018471095710992813,
0.03434309735894203,
0.025129452347755432,
0.02166885882616043,
0.017040133476257324,
0.01598881557583809,
0.0054208654910326,
0.015740586444735527,
0.00916253961622715,
-0.01144769974052906,
0.0016116579063236713,
0.028473231941461563,
-0.05323764309287071,
-0.020953377708792686,
0.008147724904119968,
0.012688839808106422,
-0.023508667945861816,
0.06810212880373001,
-0.007063551805913448,
-0.06827735155820847,
-0.013119589537382126,
-0.006559794768691063,
0.030137820169329643,
0.014411835931241512,
-0.008403253741562366,
0.01864631660282612,
0.022471951320767403,
0.01921578124165535,
-0.04564478248357773,
0.03194842487573624,
0.00694308802485466,
-0.03562804311513901,
0.020048076286911964,
-0.009951029904186726,
0.04520672932267189,
-0.003239742713049054,
-0.008001708425581455,
-0.05986679345369339,
0.01215587928891182,
-0.0027378108352422714,
-0.04684211686253548,
0.0546686053276062,
0.034927163273096085,
0.013703655451536179,
0.005132482387125492,
0.002991514513269067,
-0.02764093689620495,
-0.06307915598154068,
0.033817436546087265,
-0.018383486196398735,
0.007600162643939257,
0.00192924402654171,
-0.030283836647868156,
0.07067202031612396,
-0.021946290507912636,
0.25255027413368225,
0.10770182311534882,
0.04821467399597168,
0.0033510804641991854,
-0.008804799057543278,
0.020909573882818222,
0.025246266275644302,
-0.04923678934574127,
0.009308556094765663,
0.001083260402083397,
-0.0005083201685920358,
0.0042709847912192345,
0.0025206110440194607,
0.004150521010160446,
0.00993642769753933,
0.06950388848781586,
-0.03156878426671028,
0.012484417296946049,
0.01778481900691986,
-0.01765340380370617,
-0.011345488019287586,
-0.016412263736128807,
0.025187859311699867,
0.00029933397308923304,
-0.006840876303613186,
-0.022924602031707764,
0.02920331433415413,
-0.01831047795712948,
-0.03054666705429554,
-0.00967359822243452,
-0.02153744362294674,
-0.027173684909939766,
0.036241315305233,
-0.003891341621056199,
-0.03457672521471977,
0.007392088882625103,
-0.004062911029905081,
-0.052390746772289276,
0.013769363053143024,
0.012294595129787922,
-0.05209871381521225,
-0.007519853301346302,
-0.022793186828494072,
-0.023727692663669586,
-0.014981300570070744,
0.01765340380370617,
-0.033174965530633926,
0.056450005620718,
0.012469815090298653,
-0.051047392189502716,
0.03521919623017311,
-0.0273343026638031,
0.019843652844429016,
-0.022705577313899994,
-0.06185261905193329,
-0.014915592968463898,
0.027830759063363075,
-0.00906032882630825,
0.030021008104085922,
0.011133763939142227,
0.04208197817206383,
0.016631288453936577,
0.0026155218947678804,
0.02365468442440033,
0.023859107866883278,
0.015945009887218475,
0.001976699335500598,
0.0966629683971405,
-0.0453527458012104,
-0.04646247252821922,
-0.04044659063220024,
-0.04967483878135681,
-0.005698296707123518,
-0.01677730493247509,
0.039716508239507675,
-0.03235727176070213,
-0.023508667945861816,
0.013769363053143024,
0.021274615079164505,
-0.019829049706459045,
-0.005329604726284742,
0.020354710519313812,
-0.044593460857868195,
0.00038352166302502155,
0.059049103409051895,
0.05279959365725517,
-0.027830759063363075,
0.0032287915237247944,
-0.03875279799103737,
0.009381565265357494,
0.023859107866883278,
-0.009585987776517868,
0.01876313053071499,
-0.028195800259709358,
-0.0400085411965847
] |
1207_5 | At very low pH (below 3), the caboxylate group becomes protonated and the structure becomes an ammonio carboxylic acid, . This is relevant for enzymes like pepsin that are active in acidic environments such as the mammalian stomach and lysosomes, but does not significantly apply to intracellular enzymes. At very high pH (greater than 10, not normally seen in physiological conditions), the ammonio group is deprotonated to give .
Although various definitions of acids and bases are used in chemistry, the only one that is useful for chemistry in aqueous solution is that of Brønsted: an acid is a species that can donate a proton to another species, and a base is one that can accept a proton. This criterion is used to label the groups in the above illustration. Notice that aspartate and glutamate are the principal groups that act as Brønsted bases, and the common references to these as acidic amino acids (together with the C terminal) is completely wrong and misleading. Likewise the so-called basic amino acids include one (histidine) that acts as both a Brønsted acid and a base, one (lysine) that acts primarily as a Brønsted acid, and one (arginine) that is normally irrelevant to acid-base behavior as it has a fixed positive charge. In addition, tyrosine and cysteine, which act primarily as acids at neutral pH, are usually forgotten in the usual classification.
Isoelectric point
For amino acids with uncharged side-chains the zwitterion predominates at pH values between the two pKa values, but coexists in equilibrium with small amounts of net negative and net positive ions. At the midpoint between the two pKa values, the trace amount of net negative and trace of net positive ions balance, so that average net charge of all forms present is zero. This pH is known as the isoelectric point pI, so pI = (pKa1 + pKa2). | [
-0.0016017494490370154,
0.012074579484760761,
0.024301616474986076,
-0.004844315350055695,
-0.058329977095127106,
0.031177418306469917,
0.03515654057264328,
0.007039693184196949,
-0.0002956232929136604,
0.06976424157619476,
-0.010893039405345917,
-0.02216722071170807,
0.02834172174334526,
-0.03619324788451195,
-0.02253311686217785,
-0.002164886798709631,
-0.016221405938267708,
-0.00965051632374525,
-0.02780812233686447,
-0.022548362612724304,
-0.012501458637416363,
0.006094461306929588,
-0.03003399260342121,
0.020413966849446297,
-0.029744325205683708,
0.05149991065263748,
0.02698485553264618,
-0.02664945088326931,
0.039028942584991455,
0.04244397580623627,
0.02076461724936962,
-0.0043412079103291035,
-0.01460536289960146,
-0.06025093421339989,
0.02518586628139019,
-0.01667877472937107,
0.02605487033724785,
-0.010572880506515503,
0.0076723890379071236,
-0.009734367951750755,
0.07202059775590897,
0.013919306918978691,
-0.020246265456080437,
-0.011144593358039856,
-0.04049253091216087,
0.013728735968470573,
-0.03912041708827019,
-0.027594683691859245,
-0.035004083067178726,
-0.0036589636001735926,
0.009444699622690678,
0.06830064952373505,
0.03341853246092796,
0.01608419418334961,
0.0019038044847548008,
-0.03253428265452385,
-0.006925350986421108,
-0.03710798919200897,
-0.038632556796073914,
0.007054938934743404,
-0.01597747392952442,
-0.006460357457399368,
0.0038114204071462154,
-0.0159164909273386,
0.03567489609122276,
0.027686158195137978,
-0.015870753675699234,
-0.0068453107960522175,
0.015039864927530289,
0.004001991357654333,
-0.040523022413253784,
0.0043412079103291035,
0.022014763206243515,
-0.07403302937746048,
-0.04284036532044411,
0.034241799265146255,
0.015588709153234959,
-0.024210141971707344,
0.0015140867326408625,
-0.01771548204123974,
-0.05674442648887634,
-0.020093807950615883,
0.013827833347022533,
0.020490195602178574,
-0.0509815588593483,
0.01681598648428917,
-0.06519053131341934,
0.02867712639272213,
0.0048214467242360115,
0.04970092326402664,
0.016663528978824615,
0.054640524089336395,
-0.021282970905303955,
-0.007782920263707638,
0.004539401736110449,
0.006586134433746338,
-0.027823368087410927,
0.006460357457399368,
0.0022277752868831158,
0.03290018066763878,
0.025658482685685158,
0.025795692577958107,
-0.003052947809919715,
0.01432331744581461,
-0.014795933850109577,
0.055402807891368866,
-0.028097791597247124,
0.05040222406387329,
-0.0712888091802597,
-0.02312769927084446,
0.01774597354233265,
-0.013111285865306854,
-0.0029443223029375076,
-0.06262926012277603,
-0.028021562844514847,
0.03036939725279808,
0.00019164297555107623,
0.025658482685685158,
-0.041986607015132904,
-0.017029426991939545,
0.027259279042482376,
0.00860618706792593,
0.028722863644361496,
-0.013850701972842216,
-0.004245922435075045,
0.02724403329193592,
-0.0032073103357106447,
0.005335988476872444,
-0.03137561306357384,
-0.01744106039404869,
-0.026771416887640953,
-0.035369981080293655,
0.001233947346918285,
0.05116450786590576,
-0.00012053616956109181,
-0.017471550032496452,
-0.04674325883388519,
0.015992719680070877,
0.044212475419044495,
-0.0377483069896698,
0.004775709938257933,
0.009391339495778084,
-0.05360381677746773,
0.06604429334402084,
0.03893747180700302,
0.03059808351099491,
0.014186106622219086,
-0.052719566971063614,
-0.0015007468173280358,
0.0368945486843586,
-0.06427579373121262,
-0.03369295597076416,
-0.011373278684914112,
-0.0022697008680552244,
-0.030125467106699944,
0.05665295198559761,
-0.020078562200069427,
0.02349359542131424,
-0.03329656645655632,
0.0013568656286224723,
-0.00293669942766428,
-0.0074246469885110855,
0.014643477275967598,
-0.01721237413585186,
-0.03875452280044556,
0.026039624586701393,
-0.03445523977279663,
0.007619029376655817,
0.009513305500149727,
-0.04555409774184227,
0.016206160187721252,
0.023020979017019272,
0.00003376680251676589,
0.035004083067178726,
0.04003515839576721,
-0.0006331722252070904,
0.0754966139793396,
-0.02425587922334671,
-0.005389348603785038,
0.011121724732220173,
-0.0020048071164637804,
-0.006948219146579504,
0.00910167209804058,
0.06244631111621857,
0.004398379009217024,
-0.011617208831012249,
-0.026436012238264084,
-0.002014335710555315,
0.013942175544798374,
-0.005942004267126322,
-0.0019390600500628352,
0.06494659930467606,
0.0022125295363366604,
0.006948219146579504,
-0.06275122612714767,
0.01518469862639904,
-0.044578373432159424,
0.06476365774869919,
-0.00965051632374525,
-0.03631521388888359,
0.0055646738037467,
0.021313462406396866,
-0.044974759221076965,
0.0301407128572464,
-0.02110002376139164,
-0.0006422243313863873,
0.015344778075814247,
0.05110352486371994,
0.04561507701873779,
0.011914500035345554,
0.04341970011591911,
-0.03033890575170517,
-0.011045495979487896,
-0.0054693883284926414,
-0.04857274144887924,
-0.030948733910918236,
-0.0015464838361367583,
0.023783262819051743,
-0.039394840598106384,
0.005496067926287651,
0.007089241873472929,
-0.01946873590350151,
0.01811186969280243,
0.0507071353495121,
0.02485046163201332,
0.027320262044668198,
0.013484804891049862,
-0.015291418880224228,
-0.011609585955739021,
-0.022914258763194084,
-0.011571472510695457,
0.04470033943653107,
-0.0187369417399168,
0.009947807528078556,
0.0025708030443638563,
-0.006437488831579685,
0.018294816836714745,
0.0332355871796608,
0.007531366776674986,
0.014643477275967598,
0.015611577779054642,
0.05372578278183937,
0.05933619290590286,
0.016587302088737488,
-0.003735191887244582,
0.002732788445428014,
-0.03881550580263138,
-0.0012930243974551558,
-0.0414072722196579,
0.07189863175153732,
-0.041681692004203796,
0.030948733910918236,
0.011868762783706188,
0.054183151572942734,
-0.0321074053645134,
-0.03954729810357094,
-0.004989149048924446,
-0.002292569261044264,
-0.03174150735139847,
-0.02402719482779503,
-0.0006508000078611076,
0.01500175055116415,
-0.007897263392806053,
0.01937726140022278,
-0.0042916592210531235,
0.04543213173747063,
-0.006906293798238039,
0.05360381677746773,
0.03039988875389099,
-0.07330123335123062,
-0.07256944477558136,
-0.01884366199374199,
-0.05037173256278038,
0.015413383953273296,
-0.04625539854168892,
-0.018797924742102623,
0.047993406653404236,
-0.028052054345607758,
0.0391509085893631,
0.012387116439640522,
-0.014925521798431873,
-0.027457471936941147,
-0.005686639342457056,
0.010877793654799461,
-0.01186113990843296,
0.017867939546704292,
-0.05918373540043831,
0.02442358247935772,
-0.02771664969623089,
0.0007160705863498151,
-0.0507071353495121,
-0.00946756824851036,
-0.026237817481160164,
-0.03805322200059891,
0.01631287857890129,
0.00379617465659976,
0.0011310389963909984,
-0.013362839818000793,
-0.008179307915270329,
-0.028860075399279594,
-0.03053710050880909,
0.004722349811345339,
-0.008735775016248226,
0.03469917178153992,
-0.023173436522483826,
0.06150107830762863,
-0.026268308982253075,
0.03363197296857834,
0.015352400951087475,
0.021145761013031006,
0.028753355145454407,
0.028036808595061302,
0.004668990150094032,
0.0013416199944913387,
-0.03787027299404144,
0.037961747497320175,
0.03357098996639252,
0.039425332099199295,
0.009848710149526596,
-0.060464370995759964,
-0.014956013299524784,
-0.031314630061388016,
0.0024164405185729265,
-0.03951680660247803,
-0.0013320914003998041,
0.05137794464826584,
0.032808706164360046,
-0.059427667409181595,
0.03076578490436077,
-0.029713833704590797,
-0.04878618195652962,
0.0023040035739541054,
-0.020063316449522972,
0.029195480048656464,
0.01946873590350151,
-0.016572056338191032,
0.016739757731556892,
0.03808371350169182,
0.028722863644361496,
-0.00897208321839571,
0.040218107402324677,
0.0014445283450186253,
-0.01834055408835411,
-0.013736358843743801,
0.009658139199018478,
0.025826184079051018,
-0.012562441639602184,
-0.006536585744470358,
-0.0035827350802719593,
-0.015794526785612106,
-0.02907351404428482,
0.03186347335577011,
-0.023051470518112183,
0.08519286662340164,
0.01585550792515278,
0.04250495880842209,
-0.00802685134112835,
-0.01834055408835411,
-0.018782678991556168,
-0.02419489622116089,
-0.0005250231479294598,
-0.014064141549170017,
-0.056409019976854324,
-0.042535450309515,
-0.02594815008342266,
-0.028829583898186684,
-0.013965044170618057,
0.014376677572727203,
0.031162172555923462,
-0.046865224838256836,
0.038236167281866074,
0.026923872530460358,
-0.0083088967949152,
0.0003261146484874189,
-0.025826184079051018,
0.032442811876535416,
0.06964227557182312,
0.031650032848119736,
0.08568073064088821,
-0.036437179893255234,
0.009025443345308304,
0.016160422936081886,
0.004051540046930313,
0.0240881759673357,
0.04781045764684677,
0.04244397580623627,
-0.02053593285381794,
0.0459199920296669,
-0.03415032476186752,
-0.03744339197874069,
-0.006955842021852732,
-0.039059434086084366,
0.00006023830792400986,
-0.023112453520298004,
-0.0194382444024086,
0.003529375186190009,
-0.011853517033159733,
0.012585310265421867,
-0.025231603533029556,
0.004009614232927561,
0.01920955814421177,
-0.007131167687475681,
-0.014445283450186253,
-0.016663528978824615,
0.023173436522483826,
-0.004981526173651218,
0.01856924034655094,
0.007737183477729559,
0.01468921359628439,
-0.0021229612175375223,
-0.03396737948060036,
-0.01994135044515133,
-0.011007381603121758,
-0.017456306144595146,
0.011533358134329319,
-0.009094049222767353,
-0.006650928407907486,
0.009025443345308304,
-0.03174150735139847,
0.002462177537381649,
0.018996119499206543,
-0.022304432466626167,
-0.005084434524178505,
0.03222937136888504,
0.03445523977279663,
-0.02535356767475605,
0.0271830502897501,
0.006925350986421108,
0.03963877260684967,
0.025658482685685158,
-0.015161830000579357,
0.021786078810691833,
-0.027655666694045067,
-0.01651107333600521,
-0.04802389815449715,
0.0034512411803007126,
0.026176834478974342,
0.018264327198266983,
0.021709850057959557,
-0.010778697207570076,
-0.022380661219358444,
-0.011373278684914112,
-0.001427376875653863,
-0.013980289921164513,
-0.005191154312342405,
-0.012570064514875412,
0.03582734987139702,
0.024133913218975067,
-0.014445283450186253,
-0.012707275338470936,
0.014803556725382805,
-0.06756886094808578,
0.05244514346122742,
-0.00003629782440839335,
-0.010603371076285839,
0.022289186716079712,
0.00867479294538498,
-0.015703052282333374,
0.006052535492926836,
-0.0027289770077914,
-0.020612161606550217,
-0.027472717687487602,
-0.006708099972456694,
-0.02462177537381649,
-0.011358032934367657,
0.05403069406747818,
-0.03930336609482765,
0.02940891869366169,
0.02800631709396839,
0.021206742152571678,
-0.006689042784273624,
-0.011922122910618782,
0.024606529623270035,
-0.04838979244232178,
0.03997417539358139,
-0.0329611636698246,
-0.03454671427607536,
0.033906396478414536,
-0.013827833347022533,
-0.03341853246092796,
0.0010052621364593506,
0.012836864218115807,
0.0027937712147831917,
-0.015085602179169655,
0.0004564175906125456,
-0.032808706164360046,
0.03149757906794548,
-0.012570064514875412,
-0.02881433814764023,
-0.032076913863420486,
0.030826767906546593,
0.03093348816037178,
-0.005820038728415966,
0.02013954520225525,
-0.004874806851148605,
-0.057933587580919266,
-0.012387116439640522,
0.0019504943629726768,
-0.0036341892555356026,
0.020520687103271484,
0.06360498070716858,
-0.017654499039053917,
-0.02113051526248455,
-0.000691296358127147,
-0.03567489609122276,
-0.00965051632374525,
0.01920955814421177,
0.01763925328850746,
-0.02279229462146759,
-0.029164988547563553,
0.010001166723668575,
0.032778214663267136,
-0.022746557369828224,
-0.002277323743328452,
0.03146708756685257,
-0.02678666263818741,
0.06512954831123352,
0.04043154790997505,
-0.03908992558717728,
0.05284153297543526,
-0.005229268688708544,
0.000592675874941051,
-0.04860323294997215,
0.036528654396533966,
-0.004585138522088528,
0.022716065868735313,
0.019819386303424835,
-0.03963877260684967,
-0.001437858329154551,
-0.029912026599049568,
0.006197369657456875,
-0.05375627428293228,
-0.02273131161928177,
-0.057537201792001724,
0.031680524349212646,
-0.022334923967719078,
0.0459199920296669,
0.027533700689673424,
0.015901245176792145,
0.006033478304743767,
-0.028555160388350487,
0.002610822906717658,
0.024011949077248573,
-0.02634453773498535,
-0.05589066818356514,
-0.00943707674741745,
-0.06189746782183647,
0.04555409774184227,
-0.05317693576216698,
-0.005629467777907848,
0.037595849484205246,
0.0034474297426640987,
0.0447918102145195,
0.0033330870792269707,
-0.015100846998393536,
-0.03543096408247948,
-0.015207567252218723,
0.0391509085893631,
-0.015177075751125813,
0.035308998078107834,
-0.014628231525421143,
0.034089345484972,
-0.0318329818546772,
0.011007381603121758,
0.018889399245381355,
-0.016739757731556892,
-0.00045046224840916693,
-0.04216955602169037,
0.040584005415439606,
0.018630223348736763,
-0.021054286509752274,
-0.029454655945301056,
0.011693437583744526,
-0.013385708443820477,
-0.017303848639130592,
-0.06275122612714767,
-0.015527726151049137,
-0.03143659606575966,
-0.06775180995464325,
0.038724031299352646,
-0.011358032934367657,
-0.038724031299352646,
-0.026969609782099724,
0.009482813999056816,
0.0332355871796608,
-0.01893513649702072,
0.03020169399678707,
0.04326724261045456,
-0.00808783434331417,
-0.00493578938767314,
0.025033408775925636,
0.049822885543107986,
-0.014155615121126175,
-0.016160422936081886,
-0.024210141971707344,
0.036803074181079865,
0.01837104558944702,
0.018096623942255974,
-0.023844245821237564,
-0.043938055634498596,
-0.013019812293350697,
0.046865224838256836,
0.04692620784044266,
0.00998592097312212,
0.05009730905294418,
0.017852693796157837,
-0.04470033943653107,
-0.003344521392136812,
0.03951680660247803,
-0.013606770895421505,
0.021969027817249298,
0.03835813328623772,
-0.0032511416357010603,
0.0021572639234364033,
-0.0008518524700775743,
0.016633039340376854,
-0.01008501835167408,
-0.0436636321246624,
0.005271194502711296,
0.05000583454966545,
-0.05000583454966545,
0.00907118059694767,
0.009162654168903828,
-0.0563480369746685,
-0.012669160962104797,
0.03585784137248993,
0.017730727791786194,
-0.02681715413928032,
0.011106478981673717,
-0.00041735052946023643,
0.013652508147060871,
-0.033205095678567886,
-0.01797465793788433,
-0.01907234825193882,
-0.012356624938547611,
0.008003982715308666,
-0.03399787098169327,
-0.00018521120364312083,
0.0046384986490011215,
-0.03765683248639107,
0.077204130589962,
-0.016099439933896065,
-0.021343953907489777,
-0.0027766197454184294,
0.032015930861234665,
-0.012371870689094067,
-0.0294394101947546,
0.047536034137010574,
-0.008125947788357735,
0.019849877804517746,
-0.0004649932961910963,
0.028158772736787796,
-0.03030841425061226,
0.026542730629444122,
-0.018630223348736763,
0.07073996216058731,
0.0024774232879281044,
-0.015077979303896427,
0.016724511981010437,
-0.006380317732691765,
0.05317693576216698,
0.021511657163500786,
-0.01625189557671547,
-0.056439511477947235,
0.025231603533029556,
0.01279112696647644,
-0.02405768446624279,
-0.02864663489162922,
0.006772893946617842,
-0.08336338400840759,
-0.02844844199717045,
-0.033936887979507446,
-0.06555642932653427,
0.0056752050295472145,
0.008728153072297573,
-0.0007356041460298002,
0.009520928375422955,
-0.007542801089584827,
-0.0014311883132904768,
0.01808137819170952,
0.006795762572437525,
-0.009955430403351784,
-0.009528551250696182,
-0.03637619689106941,
-0.031162172555923462,
-0.05988503620028496,
-0.018325308337807655,
-0.003735191887244582,
0.011403769254684448,
-0.06384891271591187,
-0.0052368915639817715,
0.023585069924592972,
-0.010893039405345917,
-0.024713249877095222,
0.033875904977321625,
-0.01994135044515133,
-0.03512604907155037,
0.005389348603785038,
0.01850825734436512,
-0.011342787183821201,
0.033449023962020874,
-0.0004271172801963985,
0.015299041755497456,
-0.020673144608736038,
0.02206050045788288,
-0.025338321924209595,
-0.021755587309598923,
-0.01701418124139309,
0.021145761013031006,
-0.052048757672309875,
-0.012371870689094067,
-0.0021858494728803635,
0.03445523977279663,
-0.07787494361400604,
-0.0321074053645134,
-0.02715255878865719,
0.022487379610538483,
0.021725095808506012,
-0.0183100625872612,
0.020993303507566452,
0.06433677673339844,
-0.01084730215370655,
-0.02997300960123539,
0.006658551283180714,
-0.009094049222767353,
0.006536585744470358,
-0.004806200973689556,
0.01738007739186287,
-0.059793561697006226,
-0.01797465793788433,
-0.05787260830402374,
-0.02980530634522438,
0.054640524089336395,
0.002429780550301075,
0.025658482685685158,
0.02129821665585041,
0.015161830000579357,
-0.04695669934153557,
-0.056134600192308426,
-0.039455823600292206,
0.011289427056908607,
-0.014102254994213581,
-0.05589066818356514,
-0.001590315136127174,
-0.032381828874349594,
0.0041544483974576,
0.003975311294198036,
-0.02651223912835121,
-0.01442241482436657,
0.006060158368200064,
-0.006208803970366716,
-0.030445626005530357,
-0.03921189159154892,
-0.04256594181060791,
0.027396488934755325,
0.0045775156468153,
-0.0053512342274188995,
-0.032046422362327576,
-0.031985439360141754,
0.002311626449227333,
0.010687222704291344,
0.005648524966090918,
-0.027091575786471367,
0.0301407128572464,
-0.003138704691082239,
-0.030659064650535583,
0.00311964750289917,
0.02481997013092041,
0.021008549258112907,
0.010511897504329681,
-0.026024378836154938,
-0.02160312980413437,
-0.006441300269216299,
0.02462177537381649,
0.022914258763194084,
-0.006891048047691584,
-0.033540498465299606,
-0.059488650411367416,
0.03637619689106941,
-0.014712082222104073,
-0.06610527634620667,
-0.018752187490463257,
-0.007104487624019384,
0.014125123620033264,
-0.044944267719984055,
-0.033875904977321625,
0.004600384272634983,
0.06372694671154022,
0.007680011913180351,
0.04747505113482475,
0.0568968839943409,
0.013682998716831207,
-0.011289427056908607,
-0.003024362027645111,
0.01920955814421177,
0.010405177250504494,
0.02315819077193737,
-0.02671043388545513,
0.014277580194175243,
0.00030967791099101305,
0.02003282494843006,
-0.03744339197874069,
-0.018965627998113632,
-0.013446691446006298,
0.006467980332672596,
0.018462520092725754,
0.01867596060037613,
-0.012303264811635017,
0.0005197824793867767,
0.024149158969521523,
-0.00990207027643919,
-0.004333585035055876,
0.015405761078000069,
-0.015291418880224228,
0.024118667468428612,
0.03161954507231712,
0.0032987843733280897,
-0.018614977598190308,
-0.0068033854477107525,
0.02199951745569706,
0.01715139113366604,
0.04284036532044411,
-0.010092641226947308,
0.001953352941200137,
-0.03918140009045601,
0.08921772986650467,
-0.0020562612917274237,
-0.012638669461011887,
0.05698835849761963,
-0.03527850657701492,
0.014651100151240826,
-0.00039067058241926134,
0.029393672943115234,
0.024362599477171898,
0.032412320375442505,
0.011152216233313084,
-0.019514471292495728,
-0.017563024535775185,
0.06397087872028351,
-0.006410809233784676,
-0.014231843873858452,
0.03921189159154892,
0.00623929500579834,
-0.024347353726625443,
-0.0332355871796608,
0.043846581131219864,
-0.05875685438513756,
0.031650032848119736,
0.0021896609105169773,
-0.043541666120290756,
-0.02867712639272213,
0.052353668957948685,
-0.0022353979293257,
0.010778697207570076,
0.024118667468428612,
0.04399903491139412,
-0.004215430933982134,
0.03601029887795448,
0.003531280905008316,
0.0400046668946743,
-0.012409985065460205,
0.031116435304284096,
-0.028585651889443398,
-0.02605487033724785,
-0.037260446697473526,
0.011236066929996014,
0.017364831641316414,
-0.01066435407847166,
-0.04034007340669632,
0.030643818899989128,
0.006147820968180895,
-0.01917906664311886,
-0.02276180312037468,
0.03189396485686302,
0.015375269576907158,
0.028860075399279594,
0.007756240200251341,
0.0020867525599896908,
0.01870645023882389,
0.043480683118104935,
-0.0018456802936270833,
0.002871905220672488,
-0.014795933850109577,
-0.03482113778591156,
-0.008247913792729378,
0.0247894786298275,
-0.04652981832623482,
-0.033936887979507446,
-0.0037828346248716116,
0.026009133085608482,
-0.006189746782183647,
0.03918140009045601,
-0.023402120918035507,
-0.07360614836215973,
0.017456306144595146,
-0.010671976953744888,
0.04735308513045311,
0.017364831641316414,
-0.02707633003592491,
0.03454671427607536,
0.0013492427533492446,
0.04936551675200462,
-0.01388881541788578,
0.05805555358529091,
-0.003620849223807454,
-0.011876385658979416,
0.02780812233686447,
-0.019727911800146103,
0.022807538509368896,
-0.0038133261259645224,
0.0013111286098137498,
-0.04860323294997215,
0.03811420500278473,
-0.007481818087399006,
-0.0588788203895092,
0.08025326579809189,
0.02631404623389244,
-0.01738007739186287,
0.005297874100506306,
0.003590357955545187,
-0.00910167209804058,
-0.07354516535997391,
0.016968443989753723,
-0.0247894786298275,
-0.0013759227003902197,
-0.033936887979507446,
-0.00740940123796463,
0.04774947464466095,
-0.05930570140480995,
0.27588585019111633,
0.05284153297543526,
0.024606529623270035,
0.004276413470506668,
0.0007741947774775326,
0.026893382892012596,
0.06317810714244843,
-0.04936551675200462,
-0.0013444785727187991,
0.007150224409997463,
0.008179307915270329,
0.005179720465093851,
0.011922122910618782,
0.010748205706477165,
0.047962915152311325,
0.05546378716826439,
-0.018919890746474266,
0.019590700045228004,
-0.003140610409900546,
-0.024133913218975067,
-0.0010938775958493352,
-0.009208391420543194,
0.017319094389677048,
-0.000606968707870692,
0.018233835697174072,
-0.0008947309106588364,
0.0009161701891571283,
0.0240881759673357,
0.00504250917583704,
-0.035400472581386566,
-0.04171218350529671,
-0.013865946792066097,
0.040949899703264236,
-0.005896267481148243,
-0.028585651889443398,
0.0030929676722735167,
0.007866771891713142,
-0.026939118281006813,
0.006940596271306276,
0.008407993242144585,
-0.0076990691013634205,
-0.015344778075814247,
-0.00980297289788723,
-0.00968863070011139,
0.004726161248981953,
0.019453490152955055,
-0.026161588728427887,
0.043480683118104935,
-0.004348830785602331,
-0.060189951211214066,
0.054914943873882294,
-0.053878236562013626,
0.0242253877222538,
-0.022319678217172623,
-0.08098506182432175,
-0.01260817889124155,
0.0015169453108683228,
-0.01924004964530468,
0.010824433527886868,
0.04579802602529526,
0.06397087872028351,
0.022670328617095947,
0.006029666867107153,
0.00456989323720336,
0.032015930861234665,
0.0183100625872612,
0.009177899919450283,
0.08324141800403595,
-0.025033408775925636,
-0.02780812233686447,
-0.026039624586701393,
-0.0354919470846653,
-0.0276099294424057,
-0.03966926410794258,
0.05329890176653862,
0.0011148405028507113,
-0.04326724261045456,
-0.0006103036575950682,
0.03985220938920975,
-0.03152807056903839,
0.006060158368200064,
0.03161954507231712,
-0.054975926876068115,
0.00784390326589346,
0.05116450786590576,
0.02884482964873314,
-0.01957545429468155,
-0.029164988547563553,
-0.03951680660247803,
0.007882017642259598,
0.038632556796073914,
0.005069189239293337,
0.006292655132710934,
-0.05226219445466995,
-0.04247446730732918
] |
1207_6 | For amino acids with charged side chains, the pKa of the side chain is involved. Thus for aspartate or glutamate with negative side chains, the terminal amino group is essentially entirely in the charged form , but this positive charge needs to be balanced by the state with just one C-terminal carboxylate group is negatively charged. This occurs halfway between the two carboxylate pKa values: pI = (pKa1 + pKa(R)), where pKa(R) is the side chain pKa.
Similar considerations apply to other amino acids with ionizable side-chains, including not only glutamate (similar to aspartate), but also
cysteine, histidine, lysine, tyrosine and arginine with positive side chains
Amino acids have zero mobility in electrophoresis at their isoelectric point, although this behaviour is more usually exploited for peptides and proteins than single amino acids. Zwitterions have minimum solubility at their isoelectric point, and some amino acids (in particular, with nonpolar side chains) can be isolated by precipitation from water by adjusting the pH to the required isoelectric point. | [
-0.02203129231929779,
0.04440174624323845,
0.031146228313446045,
0.021748658269643784,
-0.0337747223675251,
0.014011562801897526,
0.029902638867497444,
0.010598761960864067,
0.02297811582684517,
0.05435045063495636,
-0.04954567924141884,
-0.0018830467015504837,
0.014484974555671215,
-0.05980527773499489,
-0.03614884242415428,
0.02063225582242012,
-0.023486856371164322,
0.00002898098864534404,
-0.025974031537771225,
-0.02208781987428665,
-0.011828217655420303,
-0.018145080655813217,
-0.036629319190979004,
-0.005479559767991304,
0.0068362015299499035,
0.05316339060664177,
0.0005158064304850996,
0.006617160048335791,
0.05765726417303085,
0.040642719715833664,
0.016152512282133102,
0.0000635373653494753,
-0.003716632490977645,
-0.05316339060664177,
0.0013637073570862412,
-0.026737142354249954,
0.048923883587121964,
-0.04219720512628555,
-0.001743496279232204,
0.009051342494785786,
0.05073273926973343,
-0.020335491746664047,
-0.01804615743458271,
-0.013644139282405376,
-0.05305033549666405,
-0.010407984256744385,
-0.02870144695043564,
-0.01486652996391058,
-0.04479743167757988,
-0.013488690368831158,
0.0001658264664001763,
0.0542939230799675,
0.0471150279045105,
0.006765543017536402,
-0.02242697961628437,
-0.016774306073784828,
0.007510988973081112,
-0.05160890519618988,
-0.054972242563962936,
0.03677063807845116,
-0.019162561744451523,
0.03140059858560562,
0.012174444273114204,
-0.0399361327290535,
0.023571645841002464,
0.05957917124032974,
-0.01859729364514351,
0.02672301046550274,
-0.0009212090517394245,
-0.019798487424850464,
-0.03564010187983513,
0.00549369165673852,
0.004515072330832481,
-0.058957379311323166,
-0.03453783318400383,
0.005748061928898096,
0.02287919446825981,
-0.01856902986764908,
0.021536683663725853,
-0.007673503365367651,
-0.04643670842051506,
-0.0427907332777977,
-0.0035647167824208736,
0.02145189419388771,
-0.03459435701370239,
-0.004921358544379473,
-0.03934260457754135,
0.0018689149292185903,
0.03301161155104637,
0.04793466627597809,
-0.021225787699222565,
0.0776677280664444,
-0.040190503001213074,
-0.030015693977475166,
0.007062308024615049,
0.01783418282866478,
0.023515120148658752,
-0.009107869118452072,
0.009757926687598228,
-0.013919707387685776,
0.014711081050336361,
-0.022709613665938377,
-0.03654453158378601,
0.028673183172941208,
-0.012407616712152958,
0.050958845764398575,
-0.010499839670956135,
0.03439651429653168,
-0.04123624786734581,
-0.005984767340123653,
0.029535215348005295,
-0.028065521270036697,
-0.031994130462408066,
-0.04406258463859558,
-0.018540767952799797,
0.01350988820195198,
0.024066254496574402,
0.0380990169942379,
-0.0010448612738400698,
-0.017452627420425415,
0.03767506405711174,
0.011778756976127625,
0.052174169570207596,
0.031965866684913635,
-0.0015792155172675848,
-0.021904107183218002,
-0.012753843329846859,
0.030298326164484024,
-0.01688736118376255,
0.027712229639291763,
-0.013177793473005295,
-0.011171095073223114,
-0.012859830632805824,
0.0101465480402112,
0.012407616712152958,
-0.014810003340244293,
-0.04120798408985138,
0.016519935801625252,
0.027132829651236534,
-0.006564166396856308,
0.020900757983326912,
-0.020137647166848183,
-0.022963983938097954,
0.05833558365702629,
-0.008634458296000957,
0.023868411779403687,
-0.020165910944342613,
-0.0722411572933197,
0.025846846401691437,
-0.008662721142172813,
-0.06212287396192551,
-0.0067514111287891865,
0.011043909937143326,
-0.0158274844288826,
0.005105070304125547,
0.07218462973833084,
0.008394218981266022,
0.018314659595489502,
-0.03609231486916542,
-0.020801836624741554,
-0.02364230528473854,
-0.03840991109609604,
0.01043624710291624,
-0.014265933074057102,
-0.022200873121619225,
0.041801515966653824,
-0.028164442628622055,
0.03521615266799927,
-0.004221840295940638,
-0.01957237906754017,
-0.009842717088758945,
0.009927506558597088,
-0.008676853030920029,
0.05624409392476082,
0.031174490228295326,
0.035074833780527115,
0.03682716563344002,
-0.027076303958892822,
0.024504337459802628,
0.01673191227018833,
0.0022222071420401335,
0.0036954348906874657,
-0.021409498527646065,
0.046182338148355484,
0.04488222301006317,
0.008782840333878994,
-0.018978849053382874,
-0.0063451253809034824,
0.021409498527646065,
-0.03049617074429989,
0.003649506950750947,
0.0499696284532547,
-0.005889378488063812,
-0.0004579548258334398,
-0.057713791728019714,
-0.005709199700504541,
-0.017381969839334488,
0.03089185804128647,
-0.043045103549957275,
-0.01609598658978939,
-0.0275143850594759,
0.02169213257730007,
-0.03018527291715145,
0.0194169320166111,
-0.03694021701812744,
0.030467906966805458,
0.024094518274068832,
0.07331516593694687,
0.029139528051018715,
0.007609910797327757,
0.023416196927428246,
-0.0007123250979930162,
0.03804248943924904,
-0.035159625113010406,
-0.07128020375967026,
-0.04007745161652565,
0.033068135380744934,
0.021466026082634926,
-0.023896675556898117,
-0.010415050201117992,
-0.012485341168940067,
-0.013198991306126118,
-0.00447267759591341,
0.05141105875372887,
0.03453783318400383,
0.017424363642930984,
0.025027209892868996,
0.0025666668079793453,
-0.00882523600012064,
-0.014555633068084717,
0.0015880478313192725,
0.037477221339941025,
-0.011043909937143326,
0.00421477435156703,
-0.0030913054943084717,
0.01899298094213009,
0.03934260457754135,
0.029506953433156013,
0.005935306660830975,
0.02395320124924183,
0.030467906966805458,
0.027881808578968048,
0.06076623499393463,
-0.03357687592506409,
-0.0035682497546076775,
0.012633724138140678,
-0.07218462973833084,
0.006719614844769239,
-0.07207158207893372,
0.0751805528998375,
-0.03329424187541008,
0.01603945903480053,
0.071958526968956,
0.04573012515902519,
-0.007468594238162041,
-0.06721027940511703,
0.014654554426670074,
0.001576565788127482,
-0.04231025651097298,
-0.03264418616890907,
0.008500207215547562,
0.02474457584321499,
-0.02148015797138214,
-0.01034439168870449,
0.02775462344288826,
0.045390963554382324,
0.024702180176973343,
0.030015693977475166,
0.012407616712152958,
-0.04428869113326073,
-0.07947658002376556,
-0.03049617074429989,
-0.049008674919605255,
-0.00011360547796357423,
-0.022497639060020447,
-0.011460794135928154,
0.028743842616677284,
-0.037109795957803726,
0.024179307743906975,
0.034735675901174545,
-0.02097141742706299,
-0.04629538953304291,
-0.010676486417651176,
0.040303558111190796,
0.007821885868906975,
0.0011137531837448478,
-0.029987430199980736,
0.02200302854180336,
-0.019529985263943672,
0.020717047154903412,
-0.01547419186681509,
-0.0021020877175033092,
-0.03258765861392021,
-0.0018689149292185903,
-0.02440541610121727,
0.02287919446825981,
-0.0016905025113373995,
0.02614361234009266,
-0.026694748550653458,
-0.006518238689750433,
-0.02294985204935074,
0.018583161756396294,
-0.005688002333045006,
-0.0006898027495481074,
-0.04516485705971718,
0.053332969546318054,
-0.009016013704240322,
0.02754264883697033,
0.022497639060020447,
0.0036883691791445017,
0.027302410453557968,
0.015488323755562305,
-0.011997798457741737,
-0.0011808787239715457,
-0.031202754005789757,
0.02485762909054756,
0.045786648988723755,
0.06771901994943619,
0.002573732752352953,
-0.054943982511758804,
-0.009885111823678017,
0.02324661798775196,
0.0009803854627534747,
-0.05158064141869545,
-0.0022292728535830975,
0.06591016799211502,
-0.0014237669529393315,
-0.04239504784345627,
0.027005644515156746,
-0.04318642243742943,
-0.03914475813508034,
0.02087249420583248,
0.01287396252155304,
-0.015756824985146523,
0.02680780179798603,
-0.016110118478536606,
0.010952053591609001,
0.02237045392394066,
0.01550245564430952,
0.01240055076777935,
0.015926405787467957,
0.004624593071639538,
-0.008733379654586315,
0.0033527417108416557,
0.03253113105893135,
0.04236678406596184,
0.001206492423079908,
0.018781006336212158,
-0.002944689244031906,
0.013213123194873333,
-0.03253113105893135,
0.038296859711408615,
0.013425097800791264,
0.05045010522007942,
0.0037342971190810204,
0.021070338785648346,
-0.011693967506289482,
-0.01331204455345869,
-0.0030701078940182924,
0.016392750665545464,
-0.017325442284345627,
-0.020165910944342613,
-0.010676486417651176,
-0.02854599803686142,
0.011220555752515793,
-0.04236678406596184,
0.011955402791500092,
0.020519202575087547,
0.029450425878167152,
-0.06658848375082016,
0.034735675901174545,
0.021098602563142776,
0.010464510880410671,
0.008012663573026657,
-0.024080386385321617,
0.012117917649447918,
0.06624932587146759,
0.032305024564266205,
0.05856169015169144,
-0.07354127615690231,
-0.017947236075997353,
0.005945905111730099,
0.035979263484478,
0.03719458729028702,
0.06314035505056381,
0.04790640249848366,
-0.03725111484527588,
0.030778804793953896,
-0.03368993103504181,
-0.015714431181550026,
-0.015318743884563446,
-0.04086882621049881,
0.009171461686491966,
-0.012527735903859138,
-0.02306290529668331,
-0.00013193250924814492,
-0.0032679515425115824,
0.008337692357599735,
0.0011994264787063003,
0.0075180549174547195,
0.01633622497320175,
-0.006232071667909622,
-0.02522505261003971,
0.02836228720843792,
0.033548612147569656,
-0.02699151262640953,
-0.010097087360918522,
0.0026726543437689543,
0.017692865803837776,
0.028447076678276062,
-0.021805185824632645,
-0.01920495554804802,
-0.024363020434975624,
-0.010895526967942715,
-0.0007639940595254302,
0.024843497201800346,
-0.004847167059779167,
0.019402800127863884,
-0.008789906278252602,
-0.005055609159171581,
0.037477221339941025,
-0.01986914500594139,
-0.030072219669818878,
0.015347006730735302,
0.021013811230659485,
-0.01709933578968048,
-0.0017797087784856558,
-0.00041445574606768787,
0.021918239071965218,
0.009764992631971836,
-0.0053135124035179615,
-0.000999816576950252,
-0.02577618882060051,
-0.019671302288770676,
-0.03569662943482399,
0.04773682355880737,
0.045871440321207047,
0.04197109490633011,
0.004515072330832481,
-0.0056138108484447,
-0.008726313710212708,
0.0011287680827081203,
-0.00314959860406816,
-0.04050140082836151,
-0.02577618882060051,
-0.00743326498195529,
0.0047623771242797375,
0.01968543417751789,
-0.023472724482417107,
-0.016760176047682762,
-0.023416196927428246,
-0.04691718518733978,
0.04866951331496239,
-0.005175728816539049,
-0.04361037164926529,
0.01759394444525242,
-0.005857582204043865,
-0.0005992716760374606,
-0.006896261125802994,
0.028051389381289482,
-0.04284726083278656,
-0.03976655378937721,
0.030467906966805458,
-0.045871440321207047,
-0.026256665587425232,
0.019953934475779533,
-0.04513659328222275,
0.03727937862277031,
0.04338426515460014,
0.0337747223675251,
-0.025394633412361145,
-0.03931434080004692,
0.015488323755562305,
-0.06234898045659065,
0.047397661954164505,
-0.040275294333696365,
-0.026313193142414093,
0.015997065231204033,
-0.04293205216526985,
-0.03657279536128044,
-0.00015798778622411191,
0.02306290529668331,
0.023656435310840607,
-0.05548098310828209,
0.024179307743906975,
-0.04725634679198265,
0.0028881626203656197,
0.012421748600900173,
-0.041886307299137115,
-0.027952468022704124,
0.04397779703140259,
0.002580798463895917,
0.029422162100672722,
0.017636340111494064,
0.016901491209864616,
-0.05562230199575424,
0.011036843992769718,
-0.006461711600422859,
0.012640790082514286,
-0.01807442121207714,
0.08377261459827423,
-0.037448957562446594,
-0.041038405150175095,
0.031570177525281906,
-0.039116498082876205,
-0.01011828426271677,
0.006129617337137461,
-0.031513649970293045,
-0.0007233654614537954,
-0.035103097558021545,
0.020109383389353752,
0.04256462678313255,
-0.010824868455529213,
-0.02166386879980564,
0.05242853984236717,
-0.021734528243541718,
0.056865889579057693,
0.047369398176670074,
-0.019529985263943672,
0.036742374300956726,
0.01449910644441843,
-0.007132966537028551,
-0.053813446313142776,
0.026214269921183586,
0.01880926825106144,
0.02841881290078163,
0.036346685141325,
-0.07744161784648895,
0.0006076623103581369,
-0.023020509630441666,
-0.01346749346703291,
-0.013870245777070522,
-0.018427712842822075,
-0.07879825681447983,
0.02242697961628437,
-0.01083193439990282,
0.028319891542196274,
0.01439311821013689,
0.009913374669849873,
-0.008669787086546421,
-0.030665749683976173,
-0.001675487612374127,
-0.007412067148834467,
-0.03436825051903725,
-0.01486652996391058,
0.026525167748332024,
-0.013820785097777843,
0.04372342675924301,
-0.030439643189311028,
0.0031266347505152225,
0.04041660949587822,
0.032700713723897934,
0.04530617222189903,
0.009842717088758945,
-0.03725111484527588,
-0.03781638294458389,
0.0006827369215898216,
0.04612581059336662,
-0.008422482758760452,
0.04567359760403633,
-0.04801945760846138,
0.04197109490633011,
-0.050195734947919846,
0.02443367801606655,
-0.0029658868443220854,
-0.009892177768051624,
-0.024476073682308197,
-0.06189676746726036,
0.05545272305607796,
0.01063409075140953,
-0.011686901561915874,
0.009411700069904327,
0.031231017783284187,
-0.009743794798851013,
0.017000414431095123,
-0.038268595933914185,
0.019219087436795235,
-0.041094932705163956,
-0.05856169015169144,
0.03332250565290451,
-0.017904842272400856,
-0.004363156855106354,
-0.014894792810082436,
-0.009178527630865574,
0.042649418115615845,
-0.058166004717350006,
0.053389497101306915,
0.03575315698981285,
-0.013177793473005295,
0.0003908293438144028,
0.01847010850906372,
0.04519312083721161,
-0.0005334710003808141,
-0.039031706750392914,
0.0038614822551608086,
0.029987430199980736,
-0.001107570598833263,
-0.0077300299890339375,
-0.030835330486297607,
-0.05519835278391838,
0.0024589127860963345,
0.012909291312098503,
0.024532601237297058,
0.032305024564266205,
0.037420693784952164,
0.015488323755562305,
-0.04909346252679825,
-0.01199073251336813,
0.036685846745967865,
-0.02427823096513748,
0.022921588271856308,
0.04694544896483421,
-0.03185281157493591,
0.012690250761806965,
-0.015968801453709602,
-0.003010048298165202,
-0.001271851360797882,
-0.02617187611758709,
0.035979263484478,
0.00549369165673852,
-0.04632365331053734,
0.018300527706742287,
0.012817435897886753,
-0.02285093069076538,
-0.022596560418605804,
-0.007828951813280582,
0.02651103585958481,
-0.04120798408985138,
0.004603395704180002,
-0.002176278969272971,
0.029648268595337868,
-0.06398826092481613,
-0.020830100402235985,
-0.008019729517400265,
-0.019741959869861603,
0.01023840345442295,
-0.021946502849459648,
-0.046578023582696915,
-0.006928057409822941,
-0.044627852737903595,
0.055396195501089096,
-0.017551548779010773,
0.0007644356810487807,
0.0038084883708506823,
0.02419343963265419,
0.006818536669015884,
-0.03060922399163246,
0.04768029600381851,
-0.004002798814326525,
0.021720396354794502,
0.005387703888118267,
0.02656756341457367,
-0.009291580878198147,
0.005140399560332298,
-0.026694748550653458,
0.057713791728019714,
0.013333242386579514,
-0.020349621772766113,
0.019515853375196457,
0.012209773063659668,
0.047765087336301804,
0.007666437420994043,
0.0020950220059603453,
-0.022116083651781082,
0.00449740793555975,
0.02105620689690113,
-0.026906723156571388,
-0.03052443452179432,
-0.014993715099990368,
-0.057318102568387985,
-0.06178371608257294,
-0.019953934475779533,
-0.0883512794971466,
0.018314659595489502,
0.04208415001630783,
-0.021112732589244843,
-0.0019837350118905306,
-0.051806747913360596,
0.00496022030711174,
0.04567359760403633,
0.001069591729901731,
-0.016844965517520905,
0.009319844655692577,
-0.0115031898021698,
-0.03713805973529816,
-0.037901170551776886,
0.0035611840430647135,
-0.013255517929792404,
0.01944519393146038,
-0.07359780371189117,
-0.014131681993603706,
0.017791787162423134,
-0.00840128492563963,
-0.023840148001909256,
0.027189357206225395,
-0.02355751395225525,
-0.045814912766218185,
-0.019318008795380592,
0.00842954870313406,
-0.014682818204164505,
0.0194169320166111,
0.0019802020397037268,
-0.007687635254114866,
-0.005189860239624977,
0.03860775753855705,
-0.019826749339699745,
-0.05279596522450447,
-0.013262583874166012,
0.018357055261731148,
-0.04369516298174858,
-0.005546685308218002,
-0.012725579552352428,
0.04372342675924301,
-0.06992356479167938,
-0.02744372747838497,
-0.019798487424850464,
0.01926148310303688,
0.04765203222632408,
-0.009574214927852154,
0.00481537077575922,
0.0650622621178627,
0.0018123883055523038,
-0.021918239071965218,
0.007069373968988657,
-0.02334553934633732,
0.032389815896749496,
-0.004469144623726606,
0.008450745604932308,
-0.05873127281665802,
0.007666437420994043,
-0.06817123293876648,
0.014470842666924,
0.02282266691327095,
-0.005610277876257896,
0.023684699088335037,
-0.005716265644878149,
0.03490525484085083,
-0.028136178851127625,
-0.04092535376548767,
-0.03258765861392021,
0.0017929571913555264,
0.027302410453557968,
-0.043016839772462845,
-0.00743326498195529,
-0.05002615600824356,
0.0009344574646092951,
0.0013301445869728923,
-0.03205065429210663,
-0.018328791484236717,
-0.029054738581180573,
0.0005286132218316197,
-0.0023546915035694838,
-0.03530094400048256,
-0.028220970183610916,
0.030637487769126892,
-0.003653039922937751,
-0.014025694690644741,
-0.041490618139505386,
-0.03657279536128044,
0.011411333456635475,
0.013368571177124977,
-0.018540767952799797,
-0.004221840295940638,
0.014781739562749863,
-0.0037342971190810204,
-0.047341134399175644,
-0.025606608018279076,
0.018130948767066002,
0.04445827379822731,
0.020957285538315773,
-0.07433264702558517,
-0.00033761473605409265,
-0.010655288584530354,
0.007482725661247969,
0.01464042253792286,
-0.024179307743906975,
-0.03258765861392021,
-0.05358733981847763,
0.00874751154333353,
-0.03360513970255852,
-0.041066668927669525,
0.0039003442507237196,
0.004843634087592363,
0.003177862148731947,
-0.03778811916708946,
-0.019007112830877304,
0.013276715762913227,
0.05669631063938141,
0.008415416814386845,
0.020745309069752693,
0.02485762909054756,
0.007277816534042358,
-0.009984033182263374,
0.01159504521638155,
-0.012810369953513145,
0.009538885205984116,
0.007461528293788433,
-0.015544850379228592,
0.004977885168045759,
0.009666070342063904,
0.030637487769126892,
-0.0029941501561552286,
-0.006875063292682171,
-0.028941685333848,
0.01119935791939497,
0.0007136499625630677,
-0.006369855720549822,
-0.010619958862662315,
0.024235835298895836,
0.027231751009821892,
0.01856902986764908,
-0.02857426181435585,
-0.003045377554371953,
-0.017085203900933266,
-0.013403900898993015,
0.004638724494725466,
-0.0018106218194589019,
-0.013043542392551899,
-0.020745309069752693,
0.0032220236025750637,
0.0023811885621398687,
0.004179445095360279,
0.06297077983617783,
-0.025069603696465492,
-0.02501307800412178,
0.08767295628786087,
-0.0032909156288951635,
0.011814086697995663,
0.052541594952344894,
-0.04075577110052109,
0.019318008795380592,
-0.03179628401994705,
0.007927874103188515,
0.02358577772974968,
0.04448653757572174,
0.0064546456560492516,
0.017721129581332207,
-0.030722277238965034,
0.04841514304280281,
-0.031061436980962753,
-0.014682818204164505,
0.03287029266357422,
0.01019600871950388,
-0.0037378298584371805,
-0.02823510207235813,
0.033096399158239365,
-0.06675806641578674,
0.012563065625727177,
0.03419867157936096,
-0.04276246950030327,
-0.01688736118376255,
0.05152411386370659,
-0.016350356861948967,
0.030270064249634743,
0.03778811916708946,
0.03363340348005295,
-0.040218766778707504,
0.022752009332180023,
0.043893005698919296,
0.023147694766521454,
0.039851345121860504,
0.039512183517217636,
-0.02403799071907997,
-0.06003138795495033,
-0.036318425089120865,
-0.021678000688552856,
0.011312412098050117,
-0.04202762246131897,
-0.00697751808911562,
0.010280799120664597,
0.02799486182630062,
-0.03173976019024849,
-0.022808535024523735,
0.04392126947641373,
0.0188657958060503,
-0.011609177105128765,
0.02860252559185028,
0.022709613665938377,
0.03332250565290451,
0.021762790158391,
-0.021042075008153915,
-0.0039604040794074535,
-0.019529985263943672,
-0.023020509630441666,
-0.0014546799939125776,
0.031117964535951614,
-0.05980527773499489,
-0.03462262079119682,
-0.00314959860406816,
0.0016887360252439976,
-0.018526636064052582,
0.01466868631541729,
-0.037448957562446594,
-0.05867474526166916,
0.015926405787467957,
0.0050520761869847775,
0.07879825681447983,
-0.00832356046885252,
-0.008910025469958782,
0.020066989585757256,
0.00003521880353218876,
0.04592796787619591,
-0.022073687985539436,
0.039483919739723206,
0.014654554426670074,
-0.03564010187983513,
0.051354534924030304,
-0.01090965885668993,
0.04318642243742943,
-0.0041582477279007435,
-0.004758844152092934,
-0.03535746783018112,
0.040218766778707504,
-0.013962102122604847,
-0.05152411386370659,
0.028220970183610916,
0.04632365331053734,
0.006196742877364159,
-0.008655655197799206,
0.002969419816508889,
0.003577082185074687,
-0.046606287360191345,
0.020674651488661766,
0.0016171943861991167,
-0.003078940324485302,
-0.0024341822136193514,
0.02364230528473854,
0.028220970183610916,
-0.03781638294458389,
0.2344728708267212,
0.07156284153461456,
0.04332773759961128,
-0.017169993370771408,
-0.012124983593821526,
0.04047313705086708,
0.04154714569449425,
-0.09106455743312836,
0.02303464151918888,
0.037872906774282455,
-0.009157329797744751,
0.011580913327634335,
0.04606928303837776,
-0.005995366256684065,
0.025267448276281357,
0.04646497219800949,
-0.04072750732302666,
0.0037731591146439314,
0.024363020434975624,
-0.033152926713228226,
-0.008683918975293636,
0.008500207215547562,
0.002050860319286585,
0.010450378991663456,
0.017396101728081703,
0.012287497520446777,
0.007161229848861694,
-0.0054124342277646065,
-0.027104565873742104,
-0.005359440576285124,
-0.0020331956911832094,
-0.015135032124817371,
0.03696848079562187,
-0.006822069641202688,
-0.03781638294458389,
0.013884377665817738,
0.023840148001909256,
-0.03484872728586197,
-0.014908924698829651,
0.019643038511276245,
-0.010733013041317463,
0.00007739304419374093,
-0.01664712093770504,
-0.02928084507584572,
-0.012365221977233887,
0.0136653371155262,
-0.017608076333999634,
0.06540142744779587,
0.04197109490633011,
-0.06031401827931404,
0.046578023582696915,
-0.03761853650212288,
-0.0012241569347679615,
0.009256252087652683,
-0.0865989476442337,
-0.027924204245209694,
-0.008175178430974483,
-0.00923505425453186,
0.02427823096513748,
0.00641225092113018,
0.03092011995613575,
0.035074833780527115,
0.0032220236025750637,
0.01622317172586918,
0.012202708050608635,
0.012739711441099644,
0.010287865065038204,
0.07665024697780609,
-0.044627852737903595,
-0.0016481074271723628,
-0.02160734310746193,
-0.030637487769126892,
-0.017692865803837776,
-0.02641211450099945,
0.019219087436795235,
0.015982933342456818,
-0.045871440321207047,
0.028447076678276062,
0.016053590923547745,
-0.036318425089120865,
0.01171516440808773,
0.03722285106778145,
-0.030863594263792038,
-0.04081229865550995,
0.05398302525281906,
0.057374630123376846,
-0.0034958249889314175,
-0.025493554770946503,
-0.045504018664360046,
0.019741959869861603,
0.041829779744148254,
0.013721863739192486,
-0.023147694766521454,
-0.046606287360191345,
-0.036742374300956726
] |
1207_7 | Physicochemical properties of amino acids
The ca. 20 canonical amino acids can be classified according to their properties. Important factors are charge, hydrophilicity or hydrophobicity, size, and functional groups. These properties influence protein structure and protein–protein interactions. The water-soluble proteins tend to have their hydrophobic residues (Leu, Ile, Val, Phe, and Trp) buried in the middle of the protein, whereas hydrophilic side chains are exposed to the aqueous solvent. (Note that in biochemistry, a residue refers to a specific monomer within the polymeric chain of a polysaccharide, protein or nucleic acid.) The integral membrane proteins tend to have outer rings of exposed hydrophobic amino acids that anchor them into the lipid bilayer. Some peripheral membrane proteins have a patch of hydrophobic amino acids on their surface that locks onto the membrane. In similar fashion, proteins that have to bind to positively charged molecules have surfaces rich with negatively charged amino acids like glutamate and aspartate, while proteins binding to negatively charged molecules have surfaces rich with positively charged chains like lysine and arginine. For example, lysine and arginine are highly enriched in low complexity regions of nucleic-acid binding proteins. There are various hydrophobicity scales of amino acid residues.
Some amino acids have special properties such as cysteine, that can form covalent disulfide bonds to other cysteine residues, proline that forms a cycle to the polypeptide backbone, and glycine that is more flexible than other amino acids.
Furthermore, glycine and proline are highly enriched within low complexity regions of eukaryotic and prokaryotic proteins, whereas the opposite (under-represented) has been observed for highly reactive, or complex, or hydrophobic amino acids, such as cysteine, phenylalanine, tryptophan, methionine, valine, leucine, isoleucine. | [
-0.035465534776449203,
0.005765610374510288,
0.050877995789051056,
-0.012079657055437565,
-0.03048742190003395,
0.04980924725532532,
0.02119213342666626,
-0.01517339888960123,
0.00689763855189085,
0.04187801852822304,
-0.005937875714153051,
-0.026563994586467743,
-0.002024994930252433,
-0.017001518979668617,
-0.028574926778674126,
0.02476399950683117,
-0.028645239770412445,
-0.030993672087788582,
-0.0350155346095562,
-0.04935925081372261,
0.005533579736948013,
-0.003587686223909259,
-0.04139989614486694,
-0.0021234320010989904,
0.005561704747378826,
0.041653018444776535,
0.010511691682040691,
0.018998390063643456,
0.06474358588457108,
0.06834357976913452,
0.013211685232818127,
0.039403025060892105,
0.008360135369002819,
-0.08054979890584946,
0.011053096503019333,
-0.04227176681160927,
0.0496123731136322,
-0.0260858703404665,
-0.027154618874192238,
-0.012543718330562115,
0.05543423444032669,
-0.014948399737477303,
-0.007140216417610645,
-0.009625757113099098,
-0.03414366394281387,
0.013373403809964657,
0.011587470769882202,
0.01780308037996292,
-0.04927487671375275,
-0.033440541476011276,
0.0340874120593071,
0.06243734061717987,
0.04646238312125206,
0.04764362797141075,
-0.02476399950683117,
-0.004042958375066519,
0.0072140442207455635,
-0.030853046104311943,
-0.04598425701260567,
0.031865544617176056,
-0.015468711033463478,
0.004401551093906164,
0.005445689428597689,
-0.016270270571112633,
0.03192179277539253,
0.059231098741292953,
-0.021107759326696396,
0.04139989614486694,
0.003023429773747921,
-0.05793735384941101,
-0.01926557533442974,
0.01479371264576912,
-0.00936560146510601,
-0.05509673431515694,
-0.04013427346944809,
0.0199405737221241,
0.00888044573366642,
-0.01683276891708374,
-0.024848373606801033,
0.012121844105422497,
-0.02501712366938591,
0.0036035063676536083,
0.02107963338494301,
0.015735898166894913,
-0.04657488316297531,
0.005080065224319696,
-0.07149356603622437,
0.014020277187228203,
0.03262491896748543,
0.01597495935857296,
0.00873982161283493,
0.07711855322122574,
-0.010209348984062672,
-0.05343736335635185,
-0.004879675339907408,
-0.004833972081542015,
0.02730930596590042,
0.0027509694918990135,
0.007263262756168842,
-0.011355440132319927,
-0.009618725627660751,
-0.01929370127618313,
-0.01743745617568493,
0.043762389570474625,
-0.010835128836333752,
0.0776810497045517,
-0.026226496323943138,
0.05163737013936043,
-0.06125609576702118,
-0.0056074075400829315,
0.003125382587313652,
-0.034537412226200104,
-0.03540928661823273,
-0.03990927338600159,
-0.012691373936831951,
0.0014748009853065014,
0.010321849025785923,
0.03937489911913872,
-0.011285127140581608,
0.014948399737477303,
0.005136315245181322,
-0.0034136632457375526,
0.02872961387038231,
0.02598743326961994,
-0.016284333541989326,
0.015370273031294346,
-0.01615777239203453,
0.014371838420629501,
-0.0156515222042799,
0.016860894858837128,
-0.012719498947262764,
0.001961713656783104,
-0.0015749960439279675,
0.03647803142666817,
0.013689808547496796,
-0.012065594084560871,
-0.04702487960457802,
0.025931183248758316,
0.014554650522768497,
-0.023259315639734268,
0.0265499334782362,
-0.0034699130337685347,
-0.034284286201000214,
0.05872485041618347,
-0.0033785069826990366,
0.02984054945409298,
0.0092179449275136,
-0.05439361184835434,
0.008824196644127369,
0.0018914014799520373,
-0.04345301538705826,
0.030037423595786095,
-0.02995304949581623,
-0.04435301199555397,
-0.004981628153473139,
0.025382747873663902,
-0.03405928984284401,
0.010448411107063293,
-0.026226496323943138,
0.002274603582918644,
-0.005174987018108368,
-0.017999954521656036,
-0.0011812469456344843,
-0.00037287501618266106,
-0.026367120444774628,
0.011749189347028732,
-0.038362402468919754,
0.005769126117229462,
-0.00042011612094938755,
-0.026690557599067688,
0.005027330946177244,
0.01736714318394661,
-0.025003060698509216,
0.04820612818002701,
0.022007755935192108,
0.023709313943982124,
0.06344983726739883,
-0.023357752710580826,
0.047728002071380615,
0.01416793279349804,
0.0147233996540308,
-0.004253895487636328,
-0.0047460817731916904,
0.046659257262945175,
0.016467146575450897,
-0.011039034463465214,
-0.026212433353066444,
0.03619678318500519,
-0.03259679302573204,
-0.011531220749020576,
-0.0034453037660568953,
0.03369366377592087,
-0.03456553816795349,
-0.011158565059304237,
-0.06204359233379364,
-0.028209302574396133,
-0.028884300962090492,
0.06530608236789703,
-0.05883735045790672,
-0.01701558195054531,
-0.006412483751773834,
-0.03490303456783295,
-0.020770259201526642,
0.015876522287726402,
0.03898115083575249,
0.0048374878242611885,
0.01701558195054531,
0.044156137853860855,
-0.002845891285687685,
0.02183900773525238,
0.013113248161971569,
-0.033215541392564774,
-0.004387489054352045,
-0.001187399378977716,
-0.032934293150901794,
-0.06361858546733856,
-0.006180453114211559,
-0.0162280835211277,
-0.02958742529153824,
-0.014484338462352753,
0.029474925249814987,
-0.007488262373954058,
-0.009267164394259453,
0.04024677351117134,
-0.014990586787462234,
0.044043637812137604,
-0.007291387766599655,
0.004299598280340433,
0.02112182043492794,
-0.0233015026897192,
0.022078068926930428,
0.030459297820925713,
0.005051940213888884,
0.008943727239966393,
0.0024556578136980534,
0.04277801513671875,
0.02787180431187153,
0.013570277951657772,
0.07599356025457382,
0.007600761950016022,
0.024820249527692795,
0.0019265576265752316,
0.028110865503549576,
0.006074984557926655,
0.010497629642486572,
0.005660141818225384,
-0.041371770203113556,
0.0027527273632586002,
-0.047981128096580505,
0.06575608253479004,
-0.03220304474234581,
0.02680305764079094,
0.04089364781975746,
0.058556102216243744,
-0.014906211756169796,
-0.037434279918670654,
0.01615777239203453,
-0.005990609992295504,
-0.027717117220163345,
-0.030318673700094223,
-0.007207012735307217,
0.015257773920893669,
-0.01551089808344841,
0.023189004510641098,
0.0514686182141304,
0.03985302522778511,
0.0009588843095116317,
0.03197804465889931,
0.023878064006567,
-0.012698405422270298,
-0.07014357298612595,
-0.021206196397542953,
-0.05554673448204994,
0.0018369094468653202,
-0.0242296252399683,
-0.010314817540347576,
0.03670303151011467,
-0.033440541476011276,
0.0361686572432518,
0.05371861532330513,
-0.020039010792970657,
-0.026029622182250023,
-0.04134364426136017,
0.03419991210103035,
0.015342148952186108,
0.013935902155935764,
-0.005174987018108368,
0.04570300877094269,
-0.029109301045536995,
-0.008662478066980839,
-0.03959989920258522,
0.026282746344804764,
-0.06564358621835709,
-0.039403025060892105,
-0.006918732542544603,
0.01826714165508747,
0.027253055945038795,
-0.012635123915970325,
-0.01833745278418064,
-0.027534304186701775,
-0.047334253787994385,
0.015314023941755295,
-0.0052031115628778934,
0.008985914289951324,
-0.03881240263581276,
0.0363936573266983,
-0.002650774549692869,
0.06974982470273972,
0.011903876438736916,
-0.007417949847877026,
0.024609312415122986,
0.008381228893995285,
-0.0014712853590026498,
-0.002271088073030114,
-0.05093424394726753,
0.009309351444244385,
0.05003424733877182,
0.03976864740252495,
0.013985120691359043,
-0.042018644511699677,
-0.026310870423913002,
-0.016143709421157837,
0.010328879579901695,
-0.01769058033823967,
0.00645115552470088,
0.04843112826347351,
0.002339642494916916,
-0.03389053791761398,
0.01701558195054531,
0.00004471424108487554,
-0.042721766978502274,
0.03405928984284401,
-0.0051925648003816605,
-0.006271859165281057,
0.022668693214654922,
-0.01636870764195919,
0.03037492372095585,
0.010462473146617413,
-0.00011030245514120907,
0.004197645466774702,
0.008894508704543114,
-0.02337181568145752,
0.026718681678175926,
0.017676517367362976,
0.02716868184506893,
0.08302479237318039,
0.0038953025359660387,
-0.004380457568913698,
-0.001543355407193303,
-0.006781623233109713,
-0.022964004427194595,
0.01676245778799057,
0.031865544617176056,
0.03127492219209671,
0.01432965137064457,
0.017985891550779343,
0.014350744895637035,
0.01655152067542076,
-0.011320283636450768,
0.02290775440633297,
-0.016256209462881088,
0.025424934923648834,
-0.02719680592417717,
-0.0069222478196024895,
-0.019307764247059822,
-0.001961713656783104,
0.0002698235330171883,
0.0002432366891298443,
0.017564017325639725,
-0.05025924742221832,
0.0609748438000679,
0.003598232986405492,
-0.01569370925426483,
0.00027685475652106106,
-0.001958198146894574,
0.008845290169119835,
0.08701852709054947,
0.01227653119713068,
0.038362402468919754,
-0.04806550219655037,
-0.012065594084560871,
0.016706207767128944,
0.03282179310917854,
0.020165573805570602,
0.041006144136190414,
0.026859307661652565,
-0.03287804126739502,
0.029924923554062843,
-0.046799879521131516,
0.01349293440580368,
-0.007853886112570763,
-0.0370967797935009,
-0.014428088441491127,
0.004025380592793226,
0.0069011542946100235,
-0.0011988250771537423,
0.008479665964841843,
-0.016143709421157837,
-0.0016382770845666528,
-0.0013113247696310282,
0.03659053146839142,
0.019757762551307678,
-0.0015503866598010063,
0.02116400934755802,
0.019420262426137924,
0.009696069173514843,
-0.008697634562849998,
-0.0027562431059777737,
0.017184332013130188,
0.002402923535555601,
-0.04702487960457802,
-0.023203065618872643,
-0.011010909453034401,
-0.028293678537011147,
-0.029812423512339592,
0.025467121973633766,
-0.0466030053794384,
-0.021993694826960564,
-0.02545306086540222,
-0.0097945062443614,
0.010483566671609879,
-0.0458998829126358,
-0.008964820764958858,
0.06277483701705933,
0.0065777176059782505,
-0.009724194183945656,
0.03374991565942764,
-0.0038777245208621025,
0.05439361184835434,
0.008908570744097233,
-0.0033486243337392807,
-0.024960873648524284,
-0.020573385059833527,
0.01259996835142374,
-0.022851504385471344,
0.016354646533727646,
0.04128739610314369,
-0.00430662976577878,
0.03037492372095585,
-0.010863253846764565,
-0.021431196480989456,
-0.014392931945621967,
0.003716006176546216,
-0.052452992647886276,
-0.002346673747524619,
-0.00843747891485691,
0.04789675399661064,
0.037012405693531036,
-0.024187438189983368,
-0.006605842616409063,
0.011819501407444477,
-0.03366553783416748,
0.026395246386528015,
-0.011109346523880959,
-0.02763274312019348,
0.016214020550251007,
-0.0052945176139473915,
0.0010371067328378558,
-0.004060536623001099,
-0.01016716193407774,
0.008261697366833687,
-0.030262423679232597,
0.02780149132013321,
-0.009063257835805416,
-0.008353103883564472,
0.04488738626241684,
-0.04691237956285477,
0.019532762467861176,
0.051018621772527695,
0.013380434364080429,
0.015145273879170418,
-0.035296786576509476,
0.031106170266866684,
-0.06243734061717987,
0.013071060180664062,
-0.04466238617897034,
-0.015820272266864777,
0.013710903003811836,
-0.013260903768241405,
-0.033215541392564774,
-0.0026033136527985334,
0.028743676841259003,
0.03959989920258522,
-0.04184989258646965,
0.008606228046119213,
-0.008388260379433632,
-0.006904670037329197,
0.03144367039203644,
-0.04581550881266594,
-0.010947628878057003,
-0.019279638305306435,
-0.01780308037996292,
0.007818730548024178,
-0.010701535269618034,
0.021276509389281273,
-0.024356188252568245,
0.017254643142223358,
-0.019715575501322746,
0.023174941539764404,
-0.025059310719370842,
0.09039352089166641,
0.002459173556417227,
-0.0315280444920063,
0.01506089884787798,
-0.049021750688552856,
-0.0013332973467186093,
-0.000645554973743856,
0.03172491863369942,
-0.00663748336955905,
-0.01139762718230486,
0.02930617518723011,
0.016748394817113876,
-0.021684320643544197,
-0.02798430435359478,
0.0438186377286911,
0.005044909194111824,
0.023470252752304077,
0.015328085981309414,
-0.005016784183681011,
0.010174192488193512,
0.042890515178442,
-0.0067781079560518265,
-0.06333734095096588,
0.06896232813596725,
-0.011299190111458302,
0.030065549537539482,
-0.002098822733387351,
-0.0727873146533966,
0.016565583646297455,
-0.03217491880059242,
0.018168704584240913,
-0.03172491863369942,
-0.002819524146616459,
-0.10074349492788315,
0.040471773594617844,
-0.003512100549414754,
0.039121776819229126,
0.04260926693677902,
-0.02098119631409645,
-0.042046766728162766,
-0.04885300248861313,
0.017648393288254738,
-0.008760915137827396,
-0.02737961709499359,
-0.022809317335486412,
-0.02726711891591549,
-0.037828028202056885,
0.02919367514550686,
-0.03394678980112076,
-0.0016611285973340273,
0.020179636776447296,
0.014266369864344597,
0.06496858596801758,
-0.013232778757810593,
-0.02716868184506893,
-0.02262650430202484,
0.010026536881923676,
0.05568735674023628,
0.0038285059854388237,
0.053549863398075104,
-0.035043660551309586,
0.04142801836133003,
-0.029671799391508102,
0.009653882123529911,
0.00277382112108171,
0.006148812361061573,
0.014097620733082294,
-0.028223365545272827,
0.05900609865784645,
0.007839824073016644,
-0.04325614124536514,
-0.02777336724102497,
0.04215926676988602,
-0.02401868812739849,
-0.03552178293466568,
-0.05166549235582352,
-0.0156515222042799,
-0.05844360217452049,
-0.017704643309116364,
0.05461861193180084,
-0.010504661127924919,
0.0007202618289738894,
-0.03104992024600506,
-0.0000804197188699618,
0.034537412226200104,
-0.05782485380768776,
0.049837373197078705,
0.047193631529808044,
-0.01151012722402811,
-0.019307764247059822,
0.03608428314328194,
0.0019089794950559735,
-0.01597495935857296,
-0.03892490267753601,
-0.00875388365238905,
0.023864001035690308,
-0.006426546256989241,
-0.021881194785237312,
-0.009942161850631237,
-0.024510875344276428,
0.016214020550251007,
0.03774365410208702,
0.019785886630415916,
0.013450747355818748,
0.04210301861166954,
0.02891242690384388,
-0.011826532892882824,
0.00999138131737709,
0.027112431824207306,
-0.014097620733082294,
0.017128081992268562,
0.01261403039097786,
-0.032006166875362396,
-0.0016101521905511618,
-0.0062542809173464775,
0.014512463472783566,
-0.01320465374737978,
-0.01729683019220829,
0.029221801087260246,
-0.019856199622154236,
-0.02072807215154171,
0.012030438520014286,
0.02383587695658207,
-0.013928870670497417,
-0.04210301861166954,
-0.019814012572169304,
-0.0064335772767663,
-0.01697339490056038,
-0.0014018518850207329,
-0.0038390527479350567,
0.007727324031293392,
-0.05059674754738808,
-0.0060292817652225494,
-0.024117127060890198,
-0.03903740271925926,
0.014273401349782944,
-0.04016239941120148,
-0.040443647652864456,
-0.0104343481361866,
-0.04840300232172012,
0.061031095683574677,
-0.018253078684210777,
-0.03273741528391838,
0.006148812361061573,
0.08544353395700455,
0.025326497852802277,
-0.01306402962654829,
0.046799879521131516,
-0.01636870764195919,
-0.006605842616409063,
-0.025438997894525528,
0.027942117303609848,
-0.0014115198282524943,
0.031078046187758446,
-0.024581188336014748,
0.05059674754738808,
0.03566240891814232,
-0.02037651091814041,
0.021754631772637367,
0.030178047716617584,
0.04412801191210747,
0.014906211756169796,
0.00199686991982162,
-0.02084057219326496,
0.0324561670422554,
0.04840300232172012,
-0.0002432366891298443,
-0.014238244853913784,
0.004661706741899252,
-0.06333734095096588,
-0.010061693377792835,
-0.017268706113100052,
-0.09016852080821991,
0.01929370127618313,
0.029137425124645233,
0.0045035043731331825,
0.017662454396486282,
-0.04840300232172012,
0.05343736335635185,
0.04089364781975746,
0.019167138263583183,
-0.011010909453034401,
0.00672888895496726,
-0.042187392711639404,
-0.03712490573525429,
-0.04857175052165985,
0.009780444204807281,
-0.023287441581487656,
0.03473428636789322,
-0.026324933394789696,
-0.023653065785765648,
0.024918686598539352,
0.01683276891708374,
-0.032793667167425156,
0.015918709337711334,
-0.03976864740252495,
-0.025171810761094093,
-0.045224886387586594,
-0.014807774685323238,
0.0064757647924125195,
0.04615300893783569,
0.010089818388223648,
-0.011193721555173397,
-0.01961713843047619,
0.03448116406798363,
-0.04778425395488739,
-0.030262423679232597,
-0.02183900773525238,
0.015595273114740849,
-0.058274850249290466,
0.012529655359685421,
-0.029221801087260246,
0.03937489911913872,
-0.03898115083575249,
-0.04016239941120148,
-0.04800925403833389,
-0.013598402962088585,
0.05093424394726753,
-0.023878064006567,
0.01991244964301586,
0.04530926048755646,
-0.01445621345192194,
-0.006078500300645828,
0.013422622345387936,
-0.02856086567044258,
0.042693641036748886,
-0.039149899035692215,
0.032146792858839035,
-0.0760498046875,
-0.01655152067542076,
-0.038868650794029236,
-0.010195286944508553,
0.017240582033991814,
-0.01045544259250164,
0.023329628631472588,
-0.005748032126575708,
0.02662024460732937,
-0.008395290933549404,
-0.013570277951657772,
-0.05734672769904137,
-0.013746058568358421,
0.0162280835211277,
-0.05183424428105354,
-0.04674363136291504,
-0.05740297958254814,
-0.0233015026897192,
0.01213590707629919,
-0.013563246466219425,
-0.024398375302553177,
-0.006461702287197113,
-0.02044682390987873,
-0.028996801003813744,
-0.0468280054628849,
-0.03934677690267563,
0.017606204375624657,
0.0019107373664155602,
0.003666787641122937,
-0.045337386429309845,
-0.012592936865985394,
0.02598743326961994,
0.003587686223909259,
0.0012190398992970586,
-0.04139989614486694,
-0.014378869906067848,
-0.007727324031293392,
-0.051524870097637177,
-0.0032027261331677437,
0.03074054606258869,
0.015848396345973015,
-0.016256209462881088,
-0.04168114438652992,
-0.037968654185533524,
-0.010701535269618034,
0.014062464237213135,
0.013788246549665928,
-0.02823742851614952,
-0.039937399327754974,
-0.06434983760118484,
0.016382770612835884,
-0.03299054130911827,
-0.034256163984537125,
0.03389053791761398,
0.03048742190003395,
-0.027323368936777115,
-0.015187461860477924,
-0.05872485041618347,
0.018604639917612076,
0.030009299516677856,
0.00706638814881444,
0.043762389570474625,
-0.004538660403341055,
-0.004025380592793226,
-0.028040554374456406,
-0.014990586787462234,
-0.013317153789103031,
-0.015989022329449654,
0.01912495121359825,
-0.009590600617229939,
0.007108575664460659,
-0.014217151328921318,
0.005540610756725073,
0.011285127140581608,
-0.03605615720152855,
-0.021149946376681328,
0.00890154018998146,
-0.02726711891591549,
0.03037492372095585,
0.004327723290771246,
0.015848396345973015,
0.052059244364500046,
-0.006528499070554972,
-0.03656240552663803,
-0.01662183366715908,
0.008444509468972683,
0.025284310802817345,
0.013148403726518154,
0.004841003101319075,
-0.029503049328923225,
-0.019842136651277542,
0.002540032612159848,
0.010406223125755787,
0.02601555921137333,
0.017423393204808235,
-0.00130253576207906,
-0.018239015713334084,
0.09793099761009216,
-0.004658191464841366,
-0.000729490362573415,
0.047868628054857254,
-0.048515502363443375,
-0.010624191723763943,
-0.03470616042613983,
0.017493706196546555,
-0.0031165936961770058,
0.03892490267753601,
0.007917167618870735,
-0.02691555581986904,
-0.017282769083976746,
0.052087366580963135,
-0.011158565059304237,
-0.009935131296515465,
0.005424595437943935,
0.004106239415705204,
-0.0275905542075634,
-0.027478056028485298,
0.01214996911585331,
-0.05090612173080444,
-0.027323368936777115,
0.03746240586042404,
-0.024651499465107918,
0.00827576033771038,
0.007664042990654707,
-0.020742135122418404,
0.047728002071380615,
0.02390618994832039,
0.03526866063475609,
-0.007277325261384249,
0.04477488622069359,
0.04210301861166954,
0.023737439885735512,
0.012494499795138836,
0.014181994833052158,
-0.017535893246531487,
-0.03341241553425789,
-0.020432760939002037,
-0.013809340074658394,
0.04792487993836403,
-0.014231214299798012,
-0.024679625406861305,
0.03737803176045418,
0.025495247915387154,
-0.04457801207900047,
-0.041540518403053284,
0.020967133343219757,
0.008922633714973927,
-0.006605842616409063,
0.028082741424441338,
0.01951870135962963,
0.03194991871714592,
0.03470616042613983,
0.0014853477478027344,
-0.017845267429947853,
-0.012304656207561493,
-0.043509263545274734,
-0.05014674738049507,
0.015496836043894291,
-0.04834675043821335,
-0.01676245778799057,
0.015018711797893047,
-0.03962802514433861,
-0.03088117204606533,
0.02826555259525776,
0.001261227298527956,
-0.04249676689505577,
0.02865930274128914,
-0.011932000517845154,
0.08668103069067001,
-0.013394497334957123,
-0.062493592500686646,
0.008852321654558182,
0.008894508704543114,
0.016199959442019463,
-0.018379641696810722,
0.06524983793497086,
-0.02844836562871933,
-0.030853046104311943,
0.002726360224187374,
-0.01381637156009674,
0.058556102216243744,
-0.008381228893995285,
-0.005769126117229462,
-0.02670462056994438,
0.023132754489779472,
-0.033328041434288025,
-0.03276554122567177,
0.0660935789346695,
0.05543423444032669,
-0.03166867047548294,
0.003891787026077509,
0.015623398125171661,
-0.011144503019750118,
-0.04784050211310387,
0.07475606352090836,
-0.004833972081542015,
-0.014076527208089828,
0.015328085981309414,
0.015328085981309414,
0.017774954438209534,
-0.07897479832172394,
0.2292744219303131,
0.09511850774288177,
0.06271859258413315,
-0.00845154095441103,
0.011116378009319305,
0.006247249897569418,
0.02969992533326149,
-0.023062441498041153,
0.0533248633146286,
0.017381206154823303,
0.03102179616689682,
0.03138741850852966,
0.020221823826432228,
0.008367165923118591,
0.013049966655671597,
0.03352491557598114,
-0.04263739287853241,
0.026395246386528015,
-0.013422622345387936,
-0.02154369466006756,
0.0053929551504552364,
0.005280455108731985,
0.02162807062268257,
-0.010673410259187222,
0.007410918828099966,
-0.019392138347029686,
0.032287418842315674,
0.018323391675949097,
0.0013754847459495068,
-0.0315280444920063,
-0.00012788052845280617,
-0.02230306901037693,
0.049021750688552856,
-0.013886683620512486,
-0.002522454597055912,
-0.013443715870380402,
0.018998390063643456,
-0.02766086719930172,
-0.005189049523323774,
0.044409263879060745,
-0.018674952909350395,
0.00019973094458691776,
0.0013737269910052419,
-0.04356551542878151,
-0.015707772225141525,
0.028153054416179657,
-0.018857764080166817,
0.057374853640794754,
0.04291864112019539,
-0.017521830275654793,
0.02008119970560074,
-0.06148109212517738,
0.0018175735604017973,
-0.008549978025257587,
-0.0609748438000679,
0.007249200250953436,
-0.004454285372048616,
-0.03827802836894989,
-0.0019142529927194118,
0.021881194785237312,
0.01290231104940176,
0.004689831752330065,
-0.01875932700932026,
0.0027773366309702396,
0.024749936535954475,
0.01701558195054531,
0.027210868895053864,
0.09624350816011429,
-0.028068678453564644,
-0.047306131571531296,
0.0005427232244983315,
-0.04834675043821335,
-0.013359340839087963,
-0.04379051551222801,
0.07908730208873749,
-0.01679058186709881,
-0.03777178004384041,
0.020489010959863663,
0.021881194785237312,
-0.030571797862648964,
-0.003733584191650152,
0.019349951297044754,
-0.022935878485441208,
0.004169520456343889,
0.038193654268980026,
0.036224909126758575,
-0.021571820601820946,
0.007804667577147484,
-0.02780149132013321,
0.017212456092238426,
0.018379641696810722,
0.020278073847293854,
0.019251514226198196,
-0.06811857968568802,
-0.0012621061177924275
] |
1207_8 | Many proteins undergo a range of posttranslational modifications, whereby additional chemical groups are attached to the amino acid side chains. Some modifications can produce hydrophobic lipoproteins, or hydrophilic glycoproteins. These type of modification allow the reversible targeting of a protein to a membrane. For example, the addition and removal of the fatty acid palmitic acid to cysteine residues in some signaling proteins causes the proteins to attach and then detach from cell membranes.
Table of standard amino acid abbreviations and properties
Although one-letter symbols are included in the table, IUPAC–IUBMB recommend that "Use of the one-letter symbols should be restricted to the comparison of long sequences".
Two additional amino acids are in some species coded for by codons that are usually interpreted as stop codons:
In addition to the specific amino acid codes, placeholders are used in cases where chemical or crystallographic analysis of a peptide or protein cannot conclusively determine the identity of a residue. They are also used to summarise conserved protein sequence motifs. The use of single letters to indicate sets of similar residues is similar to the use of abbreviation codes for degenerate bases.
Unk is sometimes used instead of Xaa, but is less standard.
Ter or * (from termination) is used in notation for mutations in proteins when a stop codon occurs. It correspond to no amino acid at all.
In addition, many nonstandard amino acids have a specific code. For example, several peptide drugs, such as Bortezomib and MG132, are artificially synthesized and retain their protecting groups, which have specific codes. Bortezomib is Pyz–Phe–boroLeu, and MG132 is Z–Leu–Leu–Leu–al. To aid in the analysis of protein structure, photo-reactive amino acid analogs are available. These include photoleucine (pLeu) and photomethionine (pMet).
Occurrence and functions in biochemistry | [
-0.017286617308855057,
-0.03726838156580925,
0.06120592728257179,
-0.0006325807771645486,
-0.055786650627851486,
-0.007393542677164078,
0.020807696506381035,
-0.02485041879117489,
-0.001835706876590848,
0.026719633489847183,
-0.004140528850257397,
-0.030429083853960037,
0.0007208794704638422,
0.002593717072159052,
-0.011715197004377842,
0.0071435896679759026,
-0.013432267121970654,
-0.03454425558447838,
-0.013222160749137402,
-0.002369121415540576,
0.024328775703907013,
-0.015330461785197258,
-0.0686248242855072,
0.00000700092505212524,
0.007868091575801373,
0.04668690636754036,
0.016344765201210976,
0.0032004874665290117,
0.06989995390176773,
0.06300269067287445,
-0.01180938258767128,
0.025415528565645218,
0.013751047663390636,
-0.07291387766599655,
-0.002599150873720646,
-0.03248666971921921,
0.044600341469049454,
-0.009389545768499374,
0.014026358723640442,
0.02322753332555294,
0.049266133457422256,
-0.0075203306041657925,
0.01422921847552061,
-0.03587733954191208,
-0.07152283191680908,
0.0018121605971828103,
-0.020590346306562424,
0.008824434131383896,
-0.02183648943901062,
0.006933483760803938,
0.0030881897546350956,
0.04952695593237877,
0.05123677849769592,
0.021068517118692398,
-0.019590534269809723,
0.012584599666297436,
-0.022691402584314346,
-0.027386175468564034,
-0.04173131287097931,
0.021706080064177513,
-0.015388421714305878,
0.016069453209638596,
-0.002486852928996086,
-0.04112273082137108,
0.012331023812294006,
0.05187434330582619,
-0.0031624510884284973,
0.00747686019167304,
0.024314286187291145,
-0.019242772832512856,
-0.005882956087589264,
0.024372246116399765,
-0.024198366329073906,
-0.03721041977405548,
-0.03906514495611191,
-0.010005372576415539,
0.031124604865908623,
0.00019278544641565531,
-0.05370008572936058,
0.009288115426898003,
-0.03970270976424217,
0.01988033391535282,
0.00813615694642067,
-0.01281644031405449,
-0.014417589642107487,
-0.008157892152667046,
-0.02344488352537155,
0.014700145460665226,
0.012106427922844887,
0.010570484213531017,
-0.02173505909740925,
0.0553809329867363,
-0.027081884443759918,
-0.06282880902290344,
-0.013975643552839756,
0.006317657418549061,
-0.011621011421084404,
-0.0021064896136522293,
-0.019373182207345963,
-0.008498407900333405,
0.02305365353822708,
0.011128350161015987,
-0.040137410163879395,
0.02953070029616356,
-0.0008517426322214305,
0.024864908307790756,
0.018923992291092873,
0.04500606283545494,
-0.07639148831367493,
-0.02812516689300537,
0.011490601114928722,
-0.029095999896526337,
-0.03816676512360573,
-0.03292137011885643,
-0.03086378425359726,
0.049468994140625,
-0.01570720225572586,
0.03608020022511482,
-0.015243521891534328,
-0.00896933488547802,
0.03781900182366371,
-0.025198178365826607,
0.020851166918873787,
0.018242958933115005,
-0.0025611144956201315,
0.03376179188489914,
0.000808272510766983,
0.028936609625816345,
-0.03834064304828644,
0.020126665011048317,
0.0005035288631916046,
0.02272038161754608,
0.0023256512358784676,
0.03926800563931465,
-0.0118673425167799,
0.014569735154509544,
-0.03419649228453636,
0.036572858691215515,
0.028762727975845337,
-0.05170046165585518,
0.011403661221265793,
0.027922306209802628,
-0.0785360112786293,
0.0745367631316185,
-0.0033671229612082243,
-0.007527575362473726,
0.017011307179927826,
-0.05091799795627594,
-0.017750298604369164,
0.01804010011255741,
-0.035964276641607285,
0.011823872104287148,
-0.019967274740338326,
-0.007607270963490009,
-0.009860471822321415,
0.030400102958083153,
-0.015591282397508621,
0.014982701279222965,
0.011439885944128036,
-0.008324528113007545,
-0.02651677280664444,
-0.019373182207345963,
0.03770308196544647,
0.031675226986408234,
-0.032950349152088165,
0.04260071739554405,
-0.04318031668663025,
0.030950725078582764,
-0.009577916003763676,
-0.005491725169122219,
0.042426835745573044,
-0.006093061529099941,
-0.026994943618774414,
0.05187434330582619,
0.032109927386045456,
0.028385987505316734,
0.06648030132055283,
-0.009208420291543007,
0.019010931253433228,
0.03894922509789467,
0.03019724227488041,
0.03477609530091286,
-0.01122978050261736,
0.05749647691845894,
-0.014656675048172474,
0.01025170274078846,
-0.02022809535264969,
0.016837425529956818,
-0.011860097758471966,
-0.010461808182299137,
0.0022604460828006268,
0.03906514495611191,
-0.05190332233905792,
0.018590720370411873,
-0.07546412944793701,
0.004622322507202625,
-0.07146487385034561,
0.058076079934835434,
-0.03387771174311638,
-0.009070765227079391,
-0.027675975114107132,
0.01420748420059681,
-0.031240524724125862,
0.0052888644859194756,
-0.017069267109036446,
0.016866406425833702,
-0.0023673102259635925,
0.015547812916338444,
-0.007781151216477156,
0.02596615068614483,
0.02545899897813797,
-0.01633027382194996,
-0.037065520882606506,
0.01821397989988327,
-0.020300544798374176,
-0.04952695593237877,
-0.02028605528175831,
0.040137410163879395,
-0.06335045397281647,
0.01464943028986454,
0.0008816283661872149,
0.008143402636051178,
0.008396977558732033,
0.05393192544579506,
0.02624146081507206,
-0.01866317167878151,
0.013830742798745632,
0.019010931253433228,
-0.01599700376391411,
-0.01721416786313057,
0.021590158343315125,
0.016460685059428215,
0.018561741337180138,
0.011852852068841457,
-0.0017478610388934612,
0.03266054764389992,
0.038688406348228455,
0.05175841972231865,
0.051671482622623444,
0.016620075330138206,
-0.0025448130909353495,
-0.005372182000428438,
0.03552957624197006,
-0.0033218415919691324,
0.023256514221429825,
0.02245956100523472,
-0.0122223487123847,
-0.031675226986408234,
-0.005596777889877558,
0.04260071739554405,
-0.013425021432340145,
0.04254275560379028,
0.056800954043865204,
0.013939417898654938,
0.0007149928715080023,
-0.03805084526538849,
0.024024486541748047,
-0.0022640686947852373,
-0.07030567526817322,
-0.01733008772134781,
0.06190145015716553,
0.01334532629698515,
0.0024017239920794964,
0.0006131097907200456,
0.0520482212305069,
0.054627448320388794,
0.005477235186845064,
0.0266906525939703,
-0.005245394539088011,
-0.04683180898427963,
-0.06364025175571442,
-0.027878835797309875,
-0.03202298656105995,
-0.0010396603029221296,
-0.03521079570055008,
-0.0382247231900692,
0.015229031443595886,
-0.05068615823984146,
0.06132184714078903,
0.03636999800801277,
-0.018242958933115005,
-0.010613953694701195,
-0.03503691405057907,
0.03894922509789467,
-0.00899831485003233,
0.03636999800801277,
0.004390481859445572,
0.007498595397919416,
-0.0153449522331357,
0.029545189812779427,
-0.058742620050907135,
0.030458062887191772,
-0.053671106696128845,
-0.031124604865908623,
0.017735809087753296,
0.028212107717990875,
0.009925677441060543,
-0.009367810562252998,
-0.047933049499988556,
0.0018012929940596223,
-0.04083293303847313,
0.025545939803123474,
-0.035732436925172806,
-0.012657049112021923,
-0.019141342490911484,
0.05007757619023323,
-0.01094722468405962,
0.01066466886550188,
0.021793019026517868,
0.025314098224043846,
-0.0022242211271077394,
0.004209356382489204,
-0.009049030020833015,
0.005835863295942545,
-0.05323640629649162,
0.009078009985387325,
0.03726838156580925,
0.05998876318335533,
-0.014337894506752491,
-0.06190145015716553,
-0.052106183022260666,
0.026864534243941307,
-0.005759790539741516,
-0.006513272877782583,
0.00251945573836565,
0.02428530715405941,
-0.004296296741813421,
-0.05520705133676529,
0.029545189812779427,
-0.01041833870112896,
-0.05193230137228966,
0.007418900262564421,
-0.018127039074897766,
0.02066279575228691,
0.019532572478055954,
0.005223659332841635,
0.04886041209101677,
0.033848732709884644,
-0.0010695460950955749,
0.011845607310533524,
-0.0002913856296800077,
-0.03503691405057907,
0.012707764282822609,
0.013809007592499256,
0.027545565739274025,
0.05103391781449318,
0.0224016010761261,
0.007744926027953625,
0.005241771694272757,
-0.020257076248526573,
-0.024212855845689774,
0.005922803655266762,
0.02238711155951023,
0.04060108959674835,
-0.01451177429407835,
0.02585023082792759,
0.030487043783068657,
-0.027154333889484406,
-0.01546087209135294,
0.04723753035068512,
0.005832240916788578,
0.027081884443759918,
-0.010715384036302567,
-0.02757454477250576,
-0.01609843410551548,
-0.009288115426898003,
0.0036949601490050554,
0.02216976135969162,
0.00046685096458531916,
-0.02847292833030224,
0.051120858639478683,
0.0045897201634943485,
-0.028342517092823982,
-0.017344577237963676,
0.0053142220713198185,
0.005498969927430153,
0.04735345020890236,
0.02450265735387802,
0.04990369454026222,
-0.029168449342250824,
-0.008570858277380466,
0.04935307428240776,
0.015634752810001373,
-0.006973331328481436,
0.020619327202439308,
-0.011396416462957859,
-0.04796203225851059,
0.0024814193602651358,
-0.03321117162704468,
0.0045534949749708176,
-0.00969383679330349,
-0.023299982771277428,
0.009034539572894573,
-0.0021843735594302416,
-0.01883705146610737,
-0.000195049520698376,
0.02800924703478813,
0.007665230892598629,
-0.021865470334887505,
0.011106614954769611,
0.04199213534593582,
0.03448629379272461,
-0.020981578156352043,
-0.0003147055394947529,
0.003908688202500343,
-0.008527387864887714,
-0.0023365188390016556,
0.006074949167668819,
0.010150272399187088,
0.006850166246294975,
-0.03938392922282219,
-0.014019113034009933,
0.014729125425219536,
-0.012461434118449688,
0.017402537167072296,
0.018025608733296394,
-0.012273063883185387,
-0.0024035354144871235,
0.015417401678860188,
-0.030950725078582764,
-0.036341018974781036,
0.006654550787061453,
-0.006745113525539637,
0.025328589603304863,
0.028820687904953957,
-0.005582287907600403,
0.0434701181948185,
-0.02379264496266842,
-0.012417963705956936,
0.014924740418791771,
0.017590908333659172,
-0.003180563682690263,
-0.011910812929272652,
0.008737494237720966,
-0.049468994140625,
0.018692150712013245,
0.03750022128224373,
-0.041354574263095856,
0.05593155324459076,
-0.030226223170757294,
-0.008310037665069103,
-0.008179627358913422,
-0.037297360599040985,
-0.022488541901111603,
0.0033363315742462873,
-0.002048529451712966,
0.0659586638212204,
0.019184812903404236,
-0.010019862093031406,
0.005984386429190636,
0.022604461759328842,
-0.0592932403087616,
0.018750110641121864,
-0.03976066783070564,
-0.009476485662162304,
0.005716320592910051,
0.008592593483626842,
-0.007375430315732956,
-0.029052529484033585,
-0.0008313659927807748,
-0.0019797016866505146,
-0.028719257563352585,
0.00775941601023078,
-0.022097310051321983,
-0.023865094408392906,
0.05483030900359154,
-0.02038748562335968,
0.010258948430418968,
0.04109375178813934,
-0.002528511919081211,
-0.0016346576157957315,
-0.027110863476991653,
0.033008310943841934,
-0.021981390193104744,
0.005944538861513138,
-0.0573805570602417,
0.013352571055293083,
0.027386175468564034,
-0.03324015066027641,
-0.04544076323509216,
-0.0038471054285764694,
0.008607083931565285,
0.002072075614705682,
-0.04610730707645416,
0.036341018974781036,
-0.033790770918130875,
-0.021488728001713753,
0.027864346280694008,
-0.044252581894397736,
-0.010324153117835522,
-0.020633816719055176,
0.00631041219457984,
0.016692524775862694,
0.015547812916338444,
-0.02841496840119362,
-0.07181263715028763,
-0.023705704137682915,
-0.024154895916581154,
0.00014965493755880743,
0.027197804301977158,
0.0777825340628624,
-0.016909876838326454,
-0.027922306209802628,
0.030429083853960037,
-0.012186123058199883,
-0.016750486567616463,
-0.018474800512194633,
0.009983637370169163,
0.01932971365749836,
-0.020344015210866928,
-0.015301481820642948,
0.050135537981987,
-0.015910062938928604,
-0.027226785197854042,
0.05993080511689186,
-0.008694023825228214,
0.028980080038309097,
0.0006710699526593089,
-0.0012696897611021996,
0.025835741311311722,
0.017301106825470924,
-0.041528452187776566,
-0.05341028422117233,
0.015171071514487267,
-0.010287928394973278,
0.005767035763710737,
0.006520517636090517,
-0.03828268498182297,
-0.019807884469628334,
-0.03190706670284271,
0.027429644018411636,
-0.04972981661558151,
0.017359066754579544,
-0.06027856469154358,
-0.010570484213531017,
-0.002916120458394289,
0.0363120399415493,
0.040079448372125626,
-0.020517896860837936,
-0.03912310674786568,
-0.021242398768663406,
0.010440073907375336,
-0.009164949879050255,
-0.008708513341844082,
0.012548374012112617,
-0.03454425558447838,
-0.0021825621370226145,
0.05691687390208244,
-0.021083008497953415,
-0.01097620464861393,
-0.002461495576426387,
0.0020901882089674473,
0.06340841203927994,
-0.008563613519072533,
-0.038021862506866455,
0.006491537671536207,
0.02773393504321575,
0.0653790608048439,
-0.0032512026373296976,
-0.0008694023708812892,
-0.0250677689909935,
0.027038414031267166,
-0.04909225553274155,
0.0024940981529653072,
0.019981764256954193,
-0.01331634633243084,
-0.007614515721797943,
-0.023024672642350197,
0.042137034237384796,
0.0008657798753120005,
-0.04083293303847313,
-0.006118419114500284,
0.03492099419236183,
-0.04619424790143967,
-0.022126290947198868,
-0.018358880653977394,
-0.022097310051321983,
-0.07824621349573135,
-0.06659622490406036,
0.05068615823984146,
-0.0014263632474467158,
0.0018112550023943186,
0.0001644845906412229,
0.01100518461316824,
0.0561344139277935,
-0.06300269067287445,
0.005600400269031525,
0.04132559150457382,
-0.01409880816936493,
-0.015026170760393143,
0.03474711626768112,
0.03347199037671089,
0.0022749362979084253,
-0.05636625364422798,
0.008650553412735462,
0.057960160076618195,
-0.00773043604567647,
0.00009916620911099017,
-0.024777967482805252,
-0.03254462778568268,
-0.007219662424176931,
0.0231116134673357,
0.04112273082137108,
0.022981202229857445,
0.033616892993450165,
-0.004100681282579899,
-0.02880619838833809,
-0.00043062586337327957,
0.04619424790143967,
-0.008570858277380466,
0.020474426448345184,
0.015634752810001373,
-0.02890762872993946,
0.0052888644859194756,
0.004292674362659454,
-0.023821625858545303,
-0.05007757619023323,
-0.011715197004377842,
0.05798913910984993,
0.017011307179927826,
-0.029762541875243187,
0.038688406348228455,
0.020358504727482796,
0.009425770491361618,
-0.031733185052871704,
0.021213417872786522,
0.00721241720020771,
-0.03492099419236183,
0.016953345388174057,
-0.02161913923919201,
0.03208094835281372,
-0.03208094835281372,
-0.0054446323774755,
-0.012888889759778976,
-0.00788258109241724,
-0.0049302359111607075,
-0.04596240445971489,
-0.007889826782047749,
0.005274374503642321,
-0.00199781428091228,
0.03805084526538849,
-0.033066269010305405,
0.021807510405778885,
-0.016678035259246826,
0.04712161049246788,
0.014968210831284523,
-0.023140592500567436,
0.03944188728928566,
0.03251564875245094,
0.009476485662162304,
-0.005357692018151283,
0.05126576125621796,
0.04161539301276207,
-0.022966712713241577,
-0.026879023760557175,
0.05326538532972336,
0.029313350096344948,
-0.0191123615950346,
0.011410905979573727,
0.013772782869637012,
-0.0021445257589221,
0.009418525733053684,
0.009106989949941635,
-0.037065520882606506,
0.05848180130124092,
0.03274748846888542,
-0.00017195600958075374,
-0.04396278038620949,
-0.00029206485487520695,
-0.05459846928715706,
0.038572486490011215,
-0.007335582748055458,
-0.06421985477209091,
0.012331023812294006,
0.036688778549432755,
-0.02534307911992073,
0.0015160203911364079,
-0.06306064873933792,
0.03767410293221474,
0.006672663148492575,
0.005491725169122219,
-0.011577541939914227,
-0.00489038834348321,
-0.026111051440238953,
-0.030226223170757294,
-0.02819761633872986,
-0.027878835797309875,
-0.029095999896526337,
0.005046156235039234,
-0.022589972242712975,
-0.022589972242712975,
0.00896933488547802,
0.016808446496725082,
-0.033732812851667404,
0.03286340832710266,
-0.04506402462720871,
-0.05567073076963425,
-0.04399175941944122,
-0.0015359441749751568,
-0.005861220881342888,
0.06155368685722351,
0.032950349152088165,
0.03460221365094185,
0.026589222252368927,
-0.013736557215452194,
-0.06688602268695831,
-0.017417026683688164,
-0.03393567353487015,
0.03347199037671089,
-0.03442833572626114,
0.02947274036705494,
-0.028878649696707726,
0.03825370594859123,
-0.08033277839422226,
-0.019764414057135582,
-0.028487417846918106,
0.010490789078176022,
0.04694772884249687,
-0.009157705120742321,
-0.00724139716476202,
0.05659809336066246,
0.03019724227488041,
-0.052222102880477905,
0.012062957510352135,
-0.00023433110618498176,
0.05381600558757782,
0.00999812688678503,
0.03092174418270588,
-0.022213229909539223,
-0.02256099134683609,
-0.055004190653562546,
-0.03932596743106842,
0.013859722763299942,
-0.018199490383267403,
0.013780027627944946,
-0.0029124978464096785,
0.026212481781840324,
-0.02495184727013111,
-0.006208981852978468,
-0.05314946547150612,
-0.01609843410551548,
0.043093375861644745,
-0.021850978955626488,
-0.01809806004166603,
-0.02892211824655533,
-0.009367810562252998,
-0.015837613493204117,
-0.024038976058363914,
-0.022604461759328842,
0.02674861252307892,
-0.009309850633144379,
-0.008911374025046825,
-0.05274374410510063,
-0.03341403231024742,
0.002992193214595318,
0.01138917077332735,
0.01699681580066681,
-0.054163768887519836,
-0.016504155471920967,
-0.00558591028675437,
-0.003713072743266821,
-0.05616339296102524,
-0.020822186022996902,
0.005727188196033239,
-0.021213417872786522,
-0.045093003660440445,
-0.018228469416499138,
0.041586413979530334,
0.03848554566502571,
-0.02700943313539028,
-0.03926800563931465,
-0.06781338155269623,
0.006650927942246199,
0.012823685072362423,
0.019010931253433228,
-0.009621386416256428,
-0.03981862962245941,
-0.09146112948656082,
0.004901255946606398,
-0.06456761807203293,
-0.015156581066548824,
0.010200987569987774,
0.04526688531041145,
0.0046259453520178795,
-0.008534633554518223,
-0.009657611139118671,
0.011258760467171669,
0.048773474991321564,
-0.007114609237760305,
0.031385425478219986,
0.012099183164536953,
-0.009012804366648197,
-0.01988033391535282,
-0.021706080064177513,
0.031501345336437225,
-0.007154457271099091,
0.024777967482805252,
0.0002608206996228546,
-0.0177792776376009,
-0.004133283626288176,
-0.007440635468810797,
-0.013852478004992008,
-0.04367297887802124,
-0.010338643565773964,
0.007031291723251343,
0.03692062199115753,
-0.00027327309362590313,
0.01454075425863266,
-0.028675789013504982,
0.01228030864149332,
-0.029400290921330452,
0.0048614083789289,
0.036978580057621,
0.01832989975810051,
0.003486665664240718,
-0.0021318469662219286,
-0.0004632284399122,
-0.040688030421733856,
-0.030052341520786285,
0.009824247099459171,
-0.01228030864149332,
0.04181825369596481,
0.03321117162704468,
-0.0362250991165638,
0.012997565791010857,
0.06317657232284546,
0.00582137331366539,
0.02021360583603382,
0.05993080511689186,
-0.055902574211359024,
-0.0016174506163224578,
-0.02227119170129299,
0.03402261435985565,
-0.011034165509045124,
0.0606263242661953,
0.03013928234577179,
-0.02808169648051262,
-0.014576979912817478,
0.04106477275490761,
-0.03103766404092312,
-0.010498033836483955,
0.011294986121356487,
-0.005441009998321533,
0.0029034416656941175,
-0.03680470213294029,
0.020691776648163795,
-0.015330461785197258,
0.023372434079647064,
0.045208923518657684,
-0.032892391085624695,
-0.01866317167878151,
0.03538467735052109,
-0.029733560979366302,
0.05436662957072258,
0.029878461733460426,
0.04564362391829491,
-0.03208094835281372,
0.01593904383480549,
0.0012778403470292687,
0.008766474202275276,
0.03153032436966896,
0.014011868275702,
-0.0231116134673357,
-0.028313538059592247,
-0.0038978205993771553,
-0.0023310850374400616,
0.02267691120505333,
-0.007096496876329184,
-0.017851728945970535,
0.0019652117043733597,
0.013968397863209248,
-0.048657551407814026,
-0.04903429374098778,
0.03315320983529091,
0.005035288631916046,
0.006890013813972473,
0.032718509435653687,
0.009563426487147808,
0.012599089182913303,
0.0388912670314312,
-0.0024017239920794964,
-0.012388983741402626,
-0.0375581830739975,
-0.034341394901275635,
-0.06607457995414734,
-0.019358692690730095,
-0.04636812582612038,
-0.014837800525128841,
0.019358692690730095,
-0.04457136243581772,
-0.00029568737954832613,
0.008918619714677334,
-0.03909412771463394,
-0.04807795211672783,
0.014613204635679722,
-0.0064589353278279305,
0.04523790255188942,
0.015547812916338444,
-0.02628493122756481,
0.027589036151766777,
0.019228283315896988,
0.03492099419236183,
-0.04941103607416153,
0.05836587771773338,
0.017301106825470924,
0.0074623702093958855,
-0.0026426210533827543,
-0.019677473232150078,
0.03593529760837555,
0.007998501881957054,
0.040803950279951096,
-0.01180938258767128,
0.00008869489101925865,
-0.022821811959147453,
-0.0355585552752018,
0.02845843695104122,
0.062423091381788254,
-0.003185997484251857,
-0.041702333837747574,
-0.01537393219769001,
-0.013084505684673786,
-0.031240524724125862,
0.020865656435489655,
0.007092874497175217,
0.005832240916788578,
0.01454075425863266,
0.026951473206281662,
0.06056836619973183,
-0.07221835851669312,
0.24806948006153107,
0.13145363330841064,
0.06566885858774185,
-0.013736557215452194,
0.003959403373301029,
0.01211367268115282,
0.021850978955626488,
-0.036283060908317566,
-0.009201175533235073,
-0.014308914542198181,
0.022213229909539223,
-0.016170883551239967,
0.0049085007049143314,
0.006636437959969044,
0.011563051491975784,
0.050222478806972504,
-0.05569971352815628,
0.013562677428126335,
-0.030950725078582764,
-0.03352995216846466,
-0.02773393504321575,
-0.0030374745838344097,
0.010382113046944141,
0.031559307128190994,
0.01893848180770874,
-0.002707826206460595,
0.026705142110586166,
0.0049628387205302715,
0.02377815544605255,
-0.03466017544269562,
-0.00807819701731205,
-0.02345937490463257,
0.04828081279993057,
0.005480857565999031,
-0.015678223222494125,
-0.007918806746602058,
-0.006607457995414734,
-0.04132559150457382,
-0.022517520934343338,
0.01599700376391411,
-0.0011981450952589512,
-0.005636625457555056,
-0.0021445257589221,
-0.04538280516862869,
0.0045534949749708176,
0.042861536145210266,
-0.03483405336737633,
0.027139844372868538,
0.06561090052127838,
-0.0201556459069252,
0.022850792855024338,
-0.04712161049246788,
0.033066269010305405,
-0.02383611537516117,
-0.042977456003427505,
-0.03938392922282219,
0.02529960870742798,
-0.03981862962245941,
0.011468865908682346,
0.014743614941835403,
0.027110863476991653,
0.02847292833030224,
-0.014345139265060425,
-0.014461059123277664,
-0.0012760291574522853,
0.0541347861289978,
-0.007415277883410454,
0.09198277443647385,
-0.023865094408392906,
-0.03683368116617203,
-0.007831866852939129,
-0.02561838924884796,
-0.0027295611798763275,
-0.038079824298620224,
0.055351950228214264,
-0.0075203306041657925,
-0.009230155497789383,
0.02127137780189514,
-0.005390294827520847,
-0.04077497124671936,
0.013678597286343575,
0.003890575608238578,
-0.07801437377929688,
-0.014432079158723354,
0.03182012587785721,
0.04770120978355408,
0.006477047689259052,
-0.006100306753069162,
-0.006730623543262482,
0.011823872104287148,
0.03225482627749443,
-0.015562302432954311,
0.025560429319739342,
-0.04862857237458229,
-0.00804921705275774
] |
1207_9 | Occurrence and functions in biochemistry
Amino acids which have the amine group attached to the (alpha-) carbon atom next to the carboxyl group have particular importance. They are known as 2-, alpha-, or α-amino acids (generic formula in most cases, where R is an organic substituent known as a "side chain"); often the term "amino acid" is used to refer specifically to these. They include the 22 proteinogenic ("protein-building") amino acids, which combine into peptide chains ("polypeptides") to form the building blocks of a vast array of proteins. These are all L-stereoisomers ("left-handed" enantiomers), although a few D-amino acids ("right-handed") occur in bacterial envelopes, as a neuromodulator (D-serine), and in some antibiotics.
Many proteinogenic and non-proteinogenic amino acids have biological functions. For example, in the human brain, glutamate (standard glutamic acid) and gamma-aminobutyric acid ("GABA", nonstandard gamma-amino acid) are, respectively, the main excitatory and inhibitory neurotransmitters. Hydroxyproline, a major component of the connective tissue collagen, is synthesised from proline. Glycine is a biosynthetic precursor to porphyrins used in red blood cells. Carnitine is used in lipid transport. Nine proteinogenic amino acids are called "essential" for humans because they cannot be produced from other compounds by the human body and so must be taken in as food. Others may be conditionally essential for certain ages or medical conditions. Essential amino acids may also vary from species to species. Because of their biological significance, amino acids are important in nutrition and are commonly used in nutritional supplements, fertilizers, feed, and food technology. Industrial uses include the production of drugs, biodegradable plastics, and chiral catalysts.
Proteinogenic amino acids | [
0.005230949725955725,
-0.0033157530706375837,
0.018380004912614822,
0.026908328756690025,
-0.0630507692694664,
0.03787751495838165,
0.03537783399224281,
-0.02480565570294857,
-0.011233859695494175,
0.04352385178208351,
-0.011741147376596928,
-0.050140656530857086,
-0.006260229740291834,
-0.04134766012430191,
-0.012851299718022346,
0.0202915258705616,
-0.04825854301452637,
-0.035671915858983994,
-0.025952568277716637,
-0.013704132288694382,
0.06058049947023392,
0.01795358955860138,
-0.032348811626434326,
0.004642789252102375,
-0.001390447374433279,
0.04146529361605644,
0.03958318009972572,
0.025864344090223312,
0.053140271455049515,
0.04599412530660629,
-0.015659764409065247,
-0.010528067126870155,
0.03281933814287186,
-0.08281295001506805,
-0.007601970341056585,
0.006455058231949806,
0.015115716494619846,
-0.01574798859655857,
0.006943966262042522,
-0.007105709984898567,
0.04011252522468567,
-0.036436524242162704,
0.014711356721818447,
-0.011542643420398235,
-0.043759118765592575,
-0.0001263625454157591,
-0.011189747601747513,
-0.005194189492613077,
-0.0014667244395241141,
-0.01764480583369732,
0.005175809375941753,
0.005800729617476463,
0.05646337568759918,
0.05164046585559845,
-0.03817159682512283,
-0.03746580332517624,
0.007896050810813904,
-0.02185015007853508,
-0.043465036898851395,
0.0296285692602396,
0.01995333470404148,
-0.012344012036919594,
-0.0037642251700162888,
-0.047346893697977066,
0.03696586564183235,
0.029922649264335632,
-0.008925330825150013,
0.027849385514855385,
-0.01232930738478899,
-0.03411329165101051,
-0.016453780233860016,
0.01589502952992916,
-0.03828922659158707,
-0.04372971132397652,
-0.02090909518301487,
0.004436933435499668,
0.03917146846652031,
-0.03958318009972572,
-0.02776116132736206,
-0.007675490342080593,
-0.0427592471241951,
0.03423092141747475,
0.03340749815106392,
0.026173127815127373,
-0.05622811242938042,
0.03584836423397064,
-0.06316840648651123,
0.0036576210986822844,
0.025511447340250015,
-0.004591325297951698,
-0.025629080832004547,
0.04793505370616913,
-0.01745365373790264,
-0.02495269663631916,
0.014799580909311771,
0.02058560587465763,
-0.012292548082768917,
0.020350342616438866,
-0.01873290166258812,
-0.0384068600833416,
0.039730221033096313,
0.01459372416138649,
-0.02436453476548195,
0.04714103788137436,
-0.030966633930802345,
0.021012023091316223,
0.018174149096012115,
0.04899374395608902,
-0.03684823587536812,
0.00048247515223920345,
0.0042678373865783215,
-0.0304372888058424,
-0.021658997982740402,
-0.0601687878370285,
0.020173894241452217,
0.03743639588356018,
-0.03076077811419964,
0.04337681457400322,
-0.056698642671108246,
0.01824766956269741,
0.000987006351351738,
-0.00004419816832523793,
0.0424063503742218,
0.028761032968759537,
0.016189109534025192,
0.024114567786455154,
-0.026570135727524757,
0.0248203594237566,
-0.037377581000328064,
0.008123962208628654,
-0.009557602927088737,
-0.034407369792461395,
-0.004532509483397007,
0.0670502632856369,
-0.017674213275313377,
0.01652730070054531,
-0.03755402937531471,
0.05416955426335335,
0.0021486226469278336,
-0.010807443410158157,
0.026805400848388672,
0.03793633356690407,
-0.015997957438230515,
0.07657845318317413,
0.020629718899726868,
0.00020493706688284874,
-0.009550251066684723,
-0.044523727148771286,
-0.004047277383506298,
0.030701961368322372,
-0.02979031391441822,
0.011726443655788898,
-0.029216857627034187,
-0.008160722441971302,
-0.059374772012233734,
0.0048008575104177,
-0.011388251557946205,
0.030643144622445107,
0.010086947120726109,
0.009050315245985985,
-0.011079467833042145,
-0.02607019990682602,
0.03328986465930939,
0.04896433651447296,
-0.02634957619011402,
0.032995786517858505,
-0.03884797915816307,
-0.007502718362957239,
-0.01683608442544937,
-0.011255915276706219,
0.010006074793636799,
-0.0017415055772289634,
-0.02730533666908741,
0.03214295580983162,
0.00950613897293806,
0.06005115434527397,
0.04884670302271843,
-0.027202408760786057,
0.01952691748738289,
-0.007502718362957239,
-0.017247797921299934,
-0.004098741337656975,
-0.0005348581471480429,
0.028040537610650063,
0.011719091795384884,
-0.0007080897339619696,
-0.024746838957071304,
-0.014042324386537075,
0.002979398937895894,
-0.0018435146193951368,
-0.00752477440983057,
0.05075822398066521,
-0.052346255630254745,
-0.007245398126542568,
-0.05258151888847351,
0.021173765882849693,
-0.0518169105052948,
0.06987342983484268,
-0.03699527680873871,
-0.03381920978426933,
-0.002056722529232502,
0.0645211711525917,
-0.01715957373380661,
0.014292292296886444,
-0.005822785664349794,
0.018541749566793442,
0.008859163150191307,
0.05428718402981758,
0.010403083637356758,
0.0424063503742218,
0.02045327052474022,
-0.008917978964745998,
0.00039769738214090466,
-0.009439971297979355,
-0.013299772515892982,
-0.038642123341560364,
-0.01823296584188938,
0.008653306402266026,
-0.049405455589294434,
-0.020203301683068275,
0.004124473314732313,
-0.015689173713326454,
0.02559967152774334,
0.024570392444729805,
0.029143337160348892,
0.01902698166668415,
0.023482294753193855,
0.0031411428935825825,
-0.0074071423150599,
-0.014623132534325123,
0.008932682685554028,
0.0380539633333683,
0.016939014196395874,
0.005558113567531109,
0.0000058658065427152906,
0.012307251803576946,
0.01496867649257183,
0.005366961471736431,
0.04678814113140106,
-0.02104143053293228,
0.01573328487575054,
-0.02729063294827938,
0.03934791684150696,
0.003146657021716237,
0.006521225906908512,
0.021644294261932373,
-0.0279082003980875,
-0.016042068600654602,
-0.0049148136749863625,
0.04372971132397652,
-0.04555300623178482,
0.020556198433041573,
0.06505051255226135,
0.01296158041805029,
-0.009881091304123402,
-0.041288845241069794,
0.02529088780283928,
-0.016644932329654694,
-0.004039925057440996,
-0.036260075867176056,
0.018835829570889473,
0.04052423685789108,
-0.009653178974986076,
0.029128633439540863,
0.07416699826717377,
0.03761284425854683,
0.005355933681130409,
0.02276179939508438,
0.00216516456566751,
-0.0024463788140565157,
-0.046905774623155594,
-0.023144103586673737,
-0.05728680267930031,
-0.010954483412206173,
-0.03055492229759693,
-0.018497638404369354,
0.038936205208301544,
-0.014101140201091766,
0.007010134402662516,
0.025496743619441986,
-0.04617057368159294,
-0.04669991880655289,
-0.02809935249388218,
0.028613992035388947,
0.030172618106007576,
0.03287815302610397,
-0.01763010211288929,
0.012976284138858318,
-0.015586244873702526,
0.0163949653506279,
0.013093915767967701,
0.022732391953468323,
-0.015512724407017231,
-0.04090654104948044,
0.03834804520010948,
0.04234753176569939,
0.02587904781103134,
-0.031025448814034462,
-0.018012406304478645,
-0.000009742839210957754,
-0.014799580909311771,
0.013909988105297089,
-0.02868751250207424,
-0.002997778821736574,
-0.053140271455049515,
0.0670502632856369,
-0.028349321335554123,
0.027187705039978027,
0.02592316083610058,
0.0062639061361551285,
0.01036632340401411,
0.004874377511441708,
0.018512342125177383,
0.017262501642107964,
-0.049699533730745316,
0.00031751461210660636,
0.01967395842075348,
0.0539931058883667,
0.017527174204587936,
-0.018659381195902824,
-0.0405830517411232,
-0.0007986112614162266,
-0.007385086268186569,
-0.03355453908443451,
0.018777014687657356,
0.04040660336613655,
0.0009392182691954076,
-0.0695793479681015,
0.0302608422935009,
-0.042200494557619095,
-0.04731748625636101,
0.024217495694756508,
0.018482932820916176,
0.04769979044795036,
-0.01901227794587612,
-0.0076093222014606,
-0.009167946875095367,
0.010689811781048775,
-0.007638730574399233,
0.01638026162981987,
0.03293697163462639,
0.004580297507345676,
0.006267582066357136,
0.023820487782359123,
0.004782477393746376,
0.04117121174931526,
0.03008439391851425,
-0.017041942104697227,
0.01999744586646557,
-0.016586117446422577,
0.023452887311577797,
0.04508247971534729,
0.0142702367156744,
0.041435886174440384,
-0.0018003215081989765,
0.027805272489786148,
0.025055624544620514,
-0.007910754531621933,
-0.0013288743793964386,
0.03593658655881882,
0.0067417859099805355,
-0.01154999528080225,
-0.011520587839186192,
-0.04108298942446709,
-0.040788907557725906,
-0.01967395842075348,
-0.01574798859655857,
0.017659509554505348,
-0.004172261338680983,
-0.03761284425854683,
0.06369774788618088,
0.006330073811113834,
-0.016453780233860016,
-0.012836595997214317,
-0.022526534274220467,
-0.0049920096062123775,
0.03881857171654701,
0.028746329247951508,
0.04340622201561928,
-0.06534459441900253,
0.012733668088912964,
0.03543665260076523,
0.0198357030749321,
-0.022100118920207024,
0.00667561823502183,
0.0157626923173666,
-0.02637898363173008,
0.02182074263691902,
-0.03802455589175224,
0.011270619928836823,
-0.011064763180911541,
-0.03608362749218941,
0.0248203594237566,
0.007638730574399233,
-0.023482294753193855,
-0.013748244382441044,
0.01069716364145279,
0.012108747847378254,
-0.0038046611007303,
-0.006072754040360451,
0.01979159004986286,
0.03287815302610397,
0.00177550851367414,
0.02389400824904442,
-0.00048063715803436935,
-0.02248242311179638,
-0.011542643420398235,
0.04120061919093132,
0.017394836992025375,
-0.016924308612942696,
-0.010829498991370201,
0.01356444414705038,
-0.016130292788147926,
-0.009234114550054073,
-0.029393306002020836,
0.011373547837138176,
-0.042994510382413864,
-0.022526534274220467,
-0.0030455668456852436,
-0.029746200889348984,
-0.003918617032468319,
-0.00905766710639,
-0.022438310086727142,
0.017703620716929436,
0.025011511519551277,
-0.014336404390633106,
0.03340749815106392,
-0.042847469449043274,
0.014042324386537075,
0.015527429059147835,
-0.029408009722828865,
-0.009065018966794014,
-0.03349572420120239,
-0.013042451813817024,
-0.018071221187710762,
0.010447194799780846,
0.048287950456142426,
-0.0202915258705616,
0.02667306363582611,
-0.031231306493282318,
-0.009219410829246044,
-0.03402506560087204,
-0.01194700412452221,
-0.008888570591807365,
0.02483506314456463,
0.007510070223361254,
0.04008311778306961,
0.050934672355651855,
-0.01840941421687603,
-0.004543537274003029,
0.02262946218252182,
-0.03637770563364029,
0.017733030021190643,
-0.027658233419060707,
-0.0018720035441219807,
0.04731748625636101,
-0.050287697464227676,
-0.0046244096010923386,
-0.01749776490032673,
-0.009300283156335354,
-0.025658488273620605,
-0.04878788813948631,
0.020938502624630928,
-0.005594873800873756,
-0.02623194456100464,
0.06275669485330582,
-0.047199856489896774,
0.020688533782958984,
0.029525641351938248,
0.034260328859090805,
-0.008087202906608582,
-0.013439459726214409,
0.02358522266149521,
-0.05255211144685745,
0.011469123885035515,
-0.022408902645111084,
-0.024276312440633774,
0.0044626654125750065,
-0.06805013120174408,
-0.026114312931895256,
-0.023320551961660385,
0.002007096540182829,
0.022408902645111084,
-0.048140909522771835,
0.04884670302271843,
-0.03514257073402405,
0.010373675264418125,
0.004337681457400322,
-0.05758088082075119,
-0.025937864556908607,
0.016806676983833313,
-0.012439588084816933,
0.023938119411468506,
0.02621724084019661,
0.002246036659926176,
-0.08475388586521149,
-0.004833941347897053,
-0.017541877925395966,
-0.0230999905616045,
-0.01327036414295435,
0.10698633641004562,
-0.02185015007853508,
-0.01091037131845951,
0.005991881713271141,
-0.0304372888058424,
0.034877900034189224,
0.007910754531621933,
-0.0030198348686099052,
-0.007517422549426556,
-0.005962473805993795,
0.023467591032385826,
0.03617184981703758,
-0.04390615597367287,
-0.02043856680393219,
0.05831608176231384,
-0.02604079246520996,
0.021482551470398903,
0.026908328756690025,
-0.03561309725046158,
0.014101140201091766,
0.020629718899726868,
-0.01858586259186268,
-0.0185711570084095,
0.03478967398405075,
-0.01902698166668415,
-0.008388634771108627,
-0.0019979067146778107,
-0.04364148527383804,
-0.010123707354068756,
-0.053140271455049515,
0.030172618106007576,
-0.06240379437804222,
0.008329818956553936,
-0.05508119985461235,
0.038906797766685486,
0.0048008575104177,
0.022555943578481674,
0.014637836255133152,
-0.03573073074221611,
-0.016644932329654694,
-0.03211354464292526,
0.028334617614746094,
-0.0006180276977829635,
-0.04434727877378464,
-0.05508119985461235,
-0.058286674320697784,
-0.04102417454123497,
0.018482932820916176,
-0.03355453908443451,
-0.012755723670125008,
0.03634829819202423,
0.01842411793768406,
0.04852321371436119,
0.0027735428884625435,
-0.02543792873620987,
-0.015012788586318493,
-0.007579914294183254,
0.08198952674865723,
-0.007227018475532532,
0.02604079246520996,
-0.04490603134036064,
0.04825854301452637,
-0.005980853922665119,
0.019556326791644096,
0.03437796235084534,
-0.01114563550800085,
-0.006892502307891846,
-0.03728935495018959,
0.04778801649808884,
0.013520332053303719,
-0.0389656126499176,
-0.014880452305078506,
0.01871819794178009,
-0.0003643836244009435,
-0.029525641351938248,
-0.019600437954068184,
-0.031437162309885025,
-0.04337681457400322,
-0.08010741323232651,
0.04505306854844093,
-0.002082454739138484,
0.016336148604750633,
-0.019585734233260155,
-0.00710203405469656,
0.060756947845220566,
-0.05772792175412178,
0.05772792175412178,
0.04390615597367287,
0.009851682931184769,
-0.005480917636305094,
0.00019276031525805593,
0.01668904535472393,
0.01543920487165451,
-0.02809935249388218,
-0.020644422620534897,
0.014218772761523724,
-0.02623194456100464,
0.021570773795247078,
-0.047493934631347656,
-0.032231178134679794,
-0.015836212784051895,
0.022673575207591057,
0.017350725829601288,
0.01871819794178009,
0.01999744586646557,
0.009234114550054073,
-0.02358522266149521,
-0.0016909604892134666,
0.06646209955215454,
-0.011064763180911541,
0.010689811781048775,
0.021129654720425606,
-0.009175298735499382,
-0.0268201045691967,
0.00004195810834062286,
-0.00858713872730732,
-0.03790692239999771,
0.009594363160431385,
0.04778801649808884,
0.008028386160731316,
-0.05034651234745979,
0.02870221622288227,
-0.016600821167230606,
-0.03179005905985832,
-0.05440481752157211,
0.008462154306471348,
-0.013755596242845058,
-0.014446684159338474,
0.004536185413599014,
-0.02823168784379959,
0.016439076513051987,
-0.022555943578481674,
-0.02652602456510067,
0.004591325297951698,
0.002622826723381877,
0.02076205424964428,
-0.03702468425035477,
-0.01904168538749218,
-0.003188930917531252,
-0.03990666940808296,
0.01640966907143593,
-0.01590973325073719,
-0.019394582137465477,
0.006466086022555828,
0.054992977529764175,
0.005793377757072449,
-0.02321762405335903,
0.049875982105731964,
-0.03608362749218941,
-0.007381410337984562,
-0.013777651824057102,
0.018041813746094704,
0.029202153906226158,
0.015306868590414524,
-0.041435886174440384,
0.027408264577388763,
0.029408009722828865,
-0.02668776921927929,
0.012285196222364902,
0.018600566312670708,
0.022997062653303146,
-0.007079978007823229,
0.030613737180829048,
-0.04164174199104309,
0.04237694293260574,
0.008469507098197937,
-0.0038928852882236242,
-0.03481908142566681,
-0.010719219222664833,
-0.060139380395412445,
-0.020232710987329483,
-0.010491306893527508,
-0.0626978725194931,
0.041141804307699203,
0.026011383160948753,
-0.026011383160948753,
-0.009403211064636707,
-0.05555173009634018,
0.03384861722588539,
0.004061981104314327,
0.0008849972509779036,
-0.04496484622359276,
0.016939014196395874,
-0.043288588523864746,
-0.004896433558315039,
-0.0057566179893910885,
-0.014534908346831799,
-0.04123003035783768,
-0.0012112424010410905,
-0.03961258754134178,
-0.008131314069032669,
0.04475899040699005,
0.04372971132397652,
-0.0048008575104177,
0.02357051894068718,
-0.02030622959136963,
-0.03734816983342171,
-0.019379878416657448,
0.0250997357070446,
0.005947769619524479,
0.051111120730638504,
0.014461388811469078,
-0.006304341834038496,
0.02417338266968727,
0.03634829819202423,
-0.028172872960567474,
-0.055257648229599,
0.010028131306171417,
0.035995401442050934,
-0.04931722953915596,
0.007829882204532623,
-0.051405198872089386,
0.030172618106007576,
-0.054346002638339996,
-0.041141804307699203,
-0.04772919788956642,
0.01623322069644928,
0.053934287279844284,
0.0250997357070446,
-0.018203558400273323,
0.08087202161550522,
0.01038102712482214,
-0.041259437799453735,
0.04520010948181152,
-0.0013564444379881024,
0.02933448925614357,
-0.029613865539431572,
0.03899502009153366,
-0.053610801696777344,
0.007179230451583862,
-0.034083884209394455,
-0.040788907557725906,
0.007624026387929916,
-0.028158169239759445,
0.01749776490032673,
0.018159445375204086,
0.03355453908443451,
-0.02824639342725277,
-0.012763075530529022,
-0.005536057520657778,
0.010351618751883507,
0.03725994750857353,
-0.06128628924489021,
-0.00468322541564703,
-0.03240762650966644,
-0.03428974002599716,
-0.0209237989038229,
-0.02761412039399147,
-0.02732004038989544,
0.046258799731731415,
-0.035201385617256165,
-0.037083499133586884,
-0.028819849714636803,
-0.029746200889348984,
0.022923544049263,
0.009726699441671371,
0.030054984614253044,
-0.031231306493282318,
-0.026599545031785965,
-0.022702982649207115,
0.0028415489941835403,
-0.07087330520153046,
-0.04755274951457977,
0.009704642929136753,
0.004966277629137039,
-0.031290121376514435,
-0.05228744074702263,
0.035995401442050934,
-0.008469507098197937,
0.02527618408203125,
-0.02198248729109764,
-0.02714359201490879,
-0.040465421974658966,
-0.0097414031624794,
0.057816147804260254,
-0.009175298735499382,
-0.02623194456100464,
-0.03343690559267998,
-0.002323232823982835,
-0.015027492307126522,
-0.02186485566198826,
-0.023467591032385826,
0.041288845241069794,
-0.0007324432372115552,
-0.01764480583369732,
-0.02045327052474022,
0.028908073902130127,
0.08110728859901428,
0.0026522348634898663,
0.04334740713238716,
0.05431659147143364,
0.03293697163462639,
-0.009770810604095459,
-0.013887932524085045,
0.013218900188803673,
-0.0014253694098442793,
0.027261223644018173,
-0.02418808825314045,
-0.01366002019494772,
-0.0004337681457400322,
0.029290376231074333,
0.004598677624017,
-0.0113220838829875,
-0.022379495203495026,
0.006811629980802536,
-0.006421973928809166,
0.021276693791151047,
-0.0011294513242319226,
0.016644932329654694,
0.05193454399704933,
-0.025864344090223312,
0.0019004925852641463,
0.019938630983233452,
0.008513618260622025,
-0.008550378493964672,
0.006035993807017803,
0.0018223775550723076,
-0.024585096165537834,
-0.007925458252429962,
0.02856988087296486,
0.017894772812724113,
0.012586628086864948,
0.02280591055750847,
-0.020173894241452217,
0.012035227380692959,
0.10186934471130371,
-0.02542322315275669,
0.021776631474494934,
0.05349316820502281,
-0.017909478396177292,
-0.01396880391985178,
-0.019100502133369446,
0.03543665260076523,
0.011888187378644943,
0.03181946650147438,
0.018335893750190735,
-0.03452500328421593,
-0.063756562769413,
0.026584839448332787,
-0.04740571230649948,
-0.015248052775859833,
0.038759756833314896,
0.011998468078672886,
0.004598677624017,
-0.03076077811419964,
0.046582285314798355,
-0.03464263305068016,
0.008528322912752628,
0.02199719101190567,
-0.011704388074576855,
-0.008535674773156643,
0.04934664070606232,
-0.013843820430338383,
0.03590717911720276,
0.04164174199104309,
0.05366961658000946,
-0.016027364879846573,
0.01577739603817463,
0.02246771939098835,
0.04849380627274513,
0.027202408760786057,
0.00006455976836150512,
-0.010528067126870155,
-0.04637642949819565,
0.0097414031624794,
0.001508079469203949,
0.004525157622992992,
0.0048302654176950455,
-0.03105485811829567,
-0.02901100181043148,
0.037524618208408356,
-0.023188214749097824,
-0.03140775486826897,
0.022526534274220467,
0.008300410583615303,
0.010233987122774124,
0.028628697618842125,
0.0005651851533912122,
0.021159062162041664,
0.03831863775849342,
0.00850626640021801,
-0.010564827360212803,
-0.010182523168623447,
-0.007050570100545883,
-0.004731013439595699,
0.030790185555815697,
-0.04914078488945961,
0.0020218007266521454,
0.035642508417367935,
-0.042200494557619095,
-0.04152410849928856,
0.057345617562532425,
-0.05099348723888397,
-0.05819844827055931,
0.020365046337246895,
-0.002802950795739889,
0.02182074263691902,
0.0012599494075402617,
-0.03667178750038147,
-0.03328986465930939,
0.03540724143385887,
0.013196843676269054,
-0.04446490854024887,
0.07099093496799469,
0.012711611576378345,
-0.00012188241089461371,
0.0279082003980875,
-0.009491435252130032,
0.02277650311589241,
-0.011814667843282223,
-0.008829754777252674,
-0.0565221942961216,
0.010197226889431477,
-0.028143465518951416,
-0.04855262488126755,
0.04793505370616913,
0.04461194947361946,
-0.010028131306171417,
0.018688790500164032,
-0.046111758798360825,
-0.011116227135062218,
-0.05731621012091637,
0.044523727148771286,
0.024614503607153893,
0.009844331070780754,
0.006896178238093853,
-0.014101140201091766,
0.048140909522771835,
-0.03996548429131508,
0.2562025785446167,
0.08845929056406021,
0.027202408760786057,
0.029099224135279655,
0.004054629243910313,
0.04178877919912338,
0.028452249243855476,
-0.03584836423397064,
-0.007098358124494553,
0.02733474411070347,
-0.0018196206074208021,
0.022100118920207024,
0.014556964859366417,
0.01717427745461464,
0.03578954562544823,
0.03276052325963974,
-0.05849253013730049,
0.004334005527198315,
-0.03828922659158707,
-0.015071604400873184,
-0.05040532723069191,
0.008903274312615395,
0.01871819794178009,
-0.029422713443636894,
-0.003631889121606946,
0.00627493392676115,
0.013086563907563686,
0.013336531817913055,
-0.01030750758945942,
-0.012292548082768917,
-0.004028897266834974,
0.0017185305478051305,
0.05631633847951889,
-0.016497893258929253,
-0.013924692757427692,
-0.0008689147653058171,
0.010483955033123493,
-0.03743639588356018,
-0.008212186396121979,
0.027555303648114204,
-0.011491179466247559,
-0.016512596979737282,
0.005447833798825741,
-0.04540596529841423,
0.003282669000327587,
0.02123258262872696,
-0.060462865978479385,
0.03717172518372536,
0.027540599927306175,
-0.051728688180446625,
0.02837872877717018,
-0.042523980140686035,
-0.025320295244455338,
-0.01263074018061161,
-0.05613989010453224,
-0.019850406795740128,
0.01296158041805029,
-0.033319275826215744,
-0.0074439020827412605,
-0.0061242179945111275,
0.056728050112724304,
0.0062859621830284595,
-0.01114563550800085,
0.0067197298631072044,
0.017821254208683968,
0.020791461691260338,
0.021114950999617577,
0.05458126589655876,
-0.015674468129873276,
-0.033142827451229095,
0.01069716364145279,
-0.05243448168039322,
-0.0022717686370015144,
-0.01827707700431347,
0.04678814113140106,
0.010417787358164787,
-0.0431121401488781,
-0.004958925768733025,
0.020997319370508194,
-0.0480232797563076,
0.001376662403345108,
-0.01718898117542267,
-0.04155351594090462,
-0.005694125778973103,
0.04567063972353935,
0.03258407488465309,
0.006278609856963158,
-0.001729558571241796,
-0.021629590541124344,
0.0019170346204191446,
0.02993735298514366,
0.014402572065591812,
0.0037366552278399467,
-0.033760394901037216,
-0.0333486832678318
] |
1207_10 | Proteinogenic amino acids
Amino acids are the precursors to proteins. They join by condensation reactions to form short polymer chains called peptides or longer chains called either polypeptides or proteins. These chains are linear and unbranched, with each amino acid residue within the chain attached to two neighboring amino acids. In Nature, the process of making proteins encoded by DNA/RNA genetic material is called translation and involves the step-by-step addition of amino acids to a growing protein chain by a ribozyme that is called a ribosome. The order in which the amino acids are added is read through the genetic code from an mRNA template, which is an RNA copy of one of the organism's genes.
Twenty-two amino acids are naturally incorporated into polypeptides and are called proteinogenic or natural amino acids. Of these, 20 are encoded by the universal genetic code. The remaining 2, selenocysteine and pyrrolysine, are incorporated into proteins by unique synthetic mechanisms. Selenocysteine is incorporated when the mRNA being translated includes a SECIS element, which causes the UGA codon to encode selenocysteine instead of a stop codon. Pyrrolysine is used by some methanogenic archaea in enzymes that they use to produce methane. It is coded for with the codon UAG, which is normally a stop codon in other organisms. This UAG codon is followed by a PYLIS downstream sequence.
Several independent evolutionary studies have suggested that Gly, Ala, Asp, Val, Ser, Pro, Glu, Leu, Thr may belong to a group of amino acids that constituted the early genetic code, whereas Cys, Met, Tyr, Trp, His, Phe may belong to a group of amino acids that constituted later additions of the genetic code.
Standard vs nonstandard amino acids | [
-0.0027055738028138876,
-0.005069314502179623,
0.03255416452884674,
0.024088336154818535,
-0.02769576758146286,
0.03566702827811241,
0.009513147175312042,
-0.011345955543220043,
-0.0011609602952376008,
0.06499195843935013,
-0.022779187187552452,
-0.04212549328804016,
0.0024473806843161583,
-0.009280409663915634,
-0.045936573296785355,
0.009302228689193726,
-0.015637053176760674,
-0.032466888427734375,
-0.049660373479127884,
-0.004483834374696016,
0.007447601296007633,
-0.006767571438103914,
-0.07977078855037689,
-0.008087629452347755,
0.013367862440645695,
0.039710842072963715,
0.03351420536637306,
0.029964959248900414,
0.0650501400232315,
0.05425693839788437,
0.0012536916183307767,
0.018953563645482063,
-0.004829303827136755,
-0.08780023455619812,
-0.020466357469558716,
-0.03607431799173355,
0.02724483795464039,
0.021731868386268616,
-0.01607343554496765,
0.01092411857098341,
0.05789346247911453,
-0.03779075667262077,
0.048467591404914856,
0.0068875765427947044,
-0.06790117919445038,
0.002280100481584668,
0.029412206262350082,
-0.019680868834257126,
-0.02660481072962284,
0.0012573282001540065,
0.04078725352883339,
0.017222577705979347,
0.055711548775434494,
0.018691733479499817,
-0.007578516378998756,
-0.013156943954527378,
0.017309853807091713,
-0.019462676718831062,
-0.06243184581398964,
0.0022655543871223927,
-0.010007713921368122,
0.012996937148272991,
0.025499306619167328,
-0.03144865855574608,
0.0025328390765935183,
0.05172591656446457,
0.004072906915098429,
0.010807749815285206,
-0.005058404989540577,
-0.030575893819332123,
-0.03299054503440857,
0.014924295246601105,
-0.016713464632630348,
-0.006960307247936726,
-0.01602979749441147,
0.02195005863904953,
0.03156502917408943,
-0.004389284644275904,
-0.05748617276549339,
0.022575542330741882,
-0.04232914000749588,
0.05181319639086723,
0.04052542522549629,
0.027812136337161064,
-0.06441011279821396,
-0.016044344753026962,
-0.04198003560304642,
0.014691556803882122,
0.04131091386079788,
0.004560200963169336,
-0.02167368307709694,
0.04099090024828911,
-0.03176867589354515,
-0.026182973757386208,
0.03592885658144951,
0.0026673905085772276,
-0.01326604001224041,
0.004774756263941526,
-0.03179776668548584,
-0.01808079704642296,
0.029732219874858856,
0.03136138245463371,
-0.02967403642833233,
0.05911533534526825,
-0.01464791875332594,
0.030954092741012573,
-0.004283825401216745,
0.03790712729096413,
-0.054896965622901917,
0.000505931384395808,
-0.01442972756922245,
-0.03374694287776947,
-0.012276905588805676,
-0.03336874395608902,
0.008633107878267765,
0.05027130991220474,
-0.019128115847706795,
0.05169682577252388,
-0.03901262953877449,
0.003829259891062975,
0.0212663933634758,
-0.0019164482364431024,
0.01719348505139351,
0.04776937887072563,
0.0002981949655804783,
-0.011978710070252419,
0.0013136942870914936,
0.013426046818494797,
-0.01880810223519802,
0.032874178141355515,
0.010756838135421276,
-0.023637406527996063,
-0.02800123579800129,
0.04308553785085678,
-0.02245917357504368,
-0.019404493272304535,
-0.051609549671411514,
0.048845790326595306,
0.01934630796313286,
-0.0392453670501709,
0.048700328916311264,
0.009796795435249805,
-0.031332291662693024,
0.05963899567723274,
0.020291803404688835,
0.015287946909666061,
0.002601932967081666,
-0.034241512417793274,
-0.025281114503741264,
0.023768320679664612,
-0.03205959498882294,
-0.005742071662098169,
-0.004076543264091015,
-0.005542062688618898,
-0.0491076223552227,
0.05399511009454727,
-0.006116633303463459,
0.011578693054616451,
0.02253190241754055,
-0.01572432927787304,
0.004338373430073261,
-0.015433408319950104,
0.013709696009755135,
0.013135124929249287,
-0.03706345334649086,
0.03610341250896454,
-0.013658784329891205,
0.008487647399306297,
-0.013338770717382431,
-0.009004033170640469,
0.009374959394335747,
0.0027364843990653753,
-0.04724572226405144,
0.027361206710338593,
0.031070461496710777,
0.049805834889411926,
0.06615564227104187,
-0.031914133578538895,
0.0346778929233551,
0.0038147137966006994,
0.006003901362419128,
0.0254411231726408,
-0.02926674485206604,
0.04424922540783882,
0.033426929265260696,
0.03045952506363392,
-0.03182685747742653,
0.025964781641960144,
-0.0066984775476157665,
0.003036497626453638,
0.005502060987055302,
0.0465766005218029,
-0.030692262575030327,
-0.013244220986962318,
-0.04512199014425278,
0.01883719488978386,
-0.06574835628271103,
0.0407581627368927,
-0.04683842882514,
-0.01572432927787304,
-0.0066693853586912155,
0.030372248962521553,
0.01870628073811531,
0.003963811323046684,
-0.024146519601345062,
0.010436824522912502,
-0.010313182137906551,
0.05937716364860535,
0.0020273621194064617,
0.03592885658144951,
0.05870804563164711,
-0.022910101339221,
-0.012487824074923992,
0.030110418796539307,
-0.015855245292186737,
-0.029659491032361984,
-0.046140216290950775,
-0.007607608567923307,
-0.049049437046051025,
-0.01376060675829649,
-0.004072906915098429,
-0.006418465171009302,
0.014196990057826042,
0.0473329983651638,
-0.0036637980956584215,
-0.003887444268912077,
0.03284508362412453,
-0.00473475456237793,
-0.012407819740474224,
-0.005447512958198786,
0.00136096915230155,
0.017251670360565186,
0.03630705550312996,
-0.00034501522895880044,
-0.004127454943954945,
-0.004131091292947531,
0.012996937148272991,
0.0486130528151989,
0.03223415091633797,
0.0046620238572359085,
-0.0127205615863204,
-0.015287946909666061,
0.04116545245051384,
0.0056875236332416534,
0.003649252001196146,
0.046140216290950775,
-0.03173958137631416,
-0.029994050040841103,
-0.02027725800871849,
0.033688757568597794,
-0.02539748325943947,
0.014320631511509418,
0.052191395312547684,
0.00502567645162344,
-0.013949706219136715,
-0.04625658690929413,
0.05134772136807442,
0.008014898747205734,
-0.05501333624124527,
-0.025004738941788673,
0.019957244396209717,
0.02587750554084778,
0.014196990057826042,
0.026342980563640594,
0.04872942343354225,
0.04602384939789772,
-0.02721574530005455,
0.034212417900562286,
-0.008880391716957092,
-0.00002271406992804259,
-0.049660373479127884,
-0.032292332500219345,
-0.03613250330090523,
-0.008705838583409786,
-0.035579752177000046,
-0.03613250330090523,
0.03749983757734299,
-0.041078176349401474,
0.03331055864691734,
0.03203050419688225,
-0.04308553785085678,
-0.03005223535001278,
-0.030779540538787842,
0.007123950868844986,
-0.010014987550675869,
0.026182973757386208,
-0.020640911534428596,
0.014895202592015266,
-0.018793556839227676,
0.01938994601368904,
-0.03840169310569763,
0.017280763015151024,
-0.027477575466036797,
-0.038343511521816254,
0.03997267410159111,
0.010393185541033745,
0.028903093189001083,
-0.026953916996717453,
-0.03534701466560364,
-0.006574835628271103,
-0.003620159812271595,
-0.0103786401450634,
-0.040118131786584854,
0.0004079725476913154,
-0.05635157600045204,
0.02533929981291294,
-0.027986688539385796,
0.01559341512620449,
0.016015252098441124,
0.024291981011629105,
-0.014029709622263908,
0.025601129978895187,
-0.02372468262910843,
0.014967933297157288,
-0.030372248962521553,
0.0034456064458936453,
0.019564500078558922,
0.08814934641122818,
0.013964252546429634,
-0.03470698744058609,
-0.05987173318862915,
0.01840081252157688,
-0.014757014811038971,
-0.044772885739803314,
-0.00021194116561673582,
0.0367143452167511,
-0.002949221059679985,
-0.05076587572693825,
0.035230644047260284,
-0.008996760472655296,
-0.04369647428393364,
0.013367862440645695,
0.0119641637429595,
0.025121107697486877,
0.012022348120808601,
0.001419153530150652,
0.027332114055752754,
0.026415711268782616,
-0.016291627660393715,
-0.00409472594037652,
0.030546803027391434,
-0.008131267502903938,
-0.01665527932345867,
0.025121107697486877,
0.016335265710949898,
0.061559081077575684,
0.032874178141355515,
0.01121504046022892,
0.02865581028163433,
-0.011207766830921173,
-0.012415093369781971,
0.04628567770123482,
0.039681751281023026,
0.028524894267320633,
-0.019637230783700943,
0.01678619533777237,
0.03237960860133171,
-0.029906773939728737,
-0.03205959498882294,
0.02461199462413788,
0.02577568218111992,
0.033281467854976654,
-0.005712979473173618,
-0.045762017369270325,
-0.012538734823465347,
-0.003309236839413643,
-0.021717321127653122,
-0.002894673263654113,
0.01815352775156498,
-0.010880479589104652,
0.019739052280783653,
0.02830670401453972,
-0.0108877532184124,
0.0010500462958589196,
-0.01053137332201004,
-0.014284266158938408,
0.06790117919445038,
0.013106033205986023,
0.033077821135520935,
-0.04119454324245453,
-0.030575893819332123,
0.03787803649902344,
-0.012916933745145798,
0.026779362931847572,
0.037732575088739395,
0.03252507001161575,
-0.021179115399718285,
0.0372089147567749,
-0.04401648789644241,
0.006280276924371719,
-0.016364358365535736,
-0.02868490107357502,
0.013658784329891205,
-0.018895378336310387,
-0.011905979365110397,
-0.013113305903971195,
0.01648072712123394,
0.013658784329891205,
-0.04055451601743698,
0.001894629094749689,
0.017833514139056206,
0.013949706219136715,
0.0023855597246438265,
0.009484054520726204,
0.006349370814859867,
0.012771472334861755,
-0.05338417366147041,
0.02144094556570053,
0.04643113911151886,
-0.010698653757572174,
0.01661164127290249,
-0.005396601743996143,
-0.00036001589614897966,
0.005392965395003557,
0.004767483100295067,
0.01723712496459484,
-0.008196725510060787,
-0.028670355677604675,
0.012182355858385563,
0.004076543264091015,
-0.03319419175386429,
-0.000007756024388072547,
-0.011345955543220043,
0.019986337050795555,
0.029703129082918167,
-0.009898618794977665,
0.01754259131848812,
-0.00410199910402298,
0.022342804819345474,
-0.0038619886618107557,
0.004647477529942989,
-0.017222577705979347,
-0.019128115847706795,
0.009840434417128563,
-0.017935337498784065,
0.033426929265260696,
0.026415711268782616,
-0.025019286200404167,
0.041863664984703064,
-0.026197519153356552,
0.010807749815285206,
-0.016044344753026962,
-0.007334868889302015,
-0.017120756208896637,
0.013542415574193,
-0.00338560389354825,
0.04189275577664375,
0.05108588933944702,
-0.011767791584134102,
-0.009898618794977665,
0.01054591964930296,
-0.04971855878829956,
0.032903268933296204,
-0.035579752177000046,
-0.013098759576678276,
0.008749476633965969,
-0.027404844760894775,
0.006262094248086214,
-0.030284972861409187,
-0.037528928369283676,
-0.04003085568547249,
-0.013549688272178173,
0.03371785208582878,
-0.04567474126815796,
-0.03819805011153221,
0.05774800106883049,
-0.03860533982515335,
-0.013971525244414806,
0.008298547938466072,
0.0415145605802536,
0.008509466424584389,
-0.03633615002036095,
0.004760209936648607,
-0.05195865407586098,
0.04218367859721184,
-0.038954444229602814,
0.014793380163609982,
0.016873471438884735,
-0.029077647253870964,
-0.058242570608854294,
-0.01678619533777237,
0.018648095428943634,
0.011513235047459602,
-0.0625482127070427,
0.04090362414717674,
-0.046343863010406494,
0.005498424172401428,
0.034212417900562286,
-0.05210411548614502,
-0.028946731239557266,
0.0009845888707786798,
-0.004582020454108715,
0.03173958137631416,
0.01090957224369049,
0.009244044311344624,
-0.07069402933120728,
-0.012735106982290745,
-0.011462324298918247,
-0.01096048392355442,
0.02270645648241043,
0.06569016724824905,
-0.002914674114435911,
-0.030168604105710983,
0.0019764509052038193,
-0.029106738045811653,
0.03296145424246788,
-0.020597271621227264,
0.0048620328307151794,
0.019942697137594223,
-0.0010864115320146084,
0.019709959626197815,
0.03409605100750923,
-0.0009018579730764031,
-0.04602384939789772,
0.05286051332950592,
0.012109625153243542,
0.02954312227666378,
0.015346131287515163,
-0.03339783847332001,
0.014036983251571655,
-0.000963678874541074,
-0.038343511521816254,
-0.018648095428943634,
0.03080863133072853,
-0.018284443765878677,
-0.03144865855574608,
0.016771649941802025,
-0.053151436150074005,
-0.03296145424246788,
-0.05149317905306816,
0.02154276892542839,
-0.06080268323421478,
0.0005750253912992775,
-0.0605117604136467,
0.019986337050795555,
-0.00196554115973413,
0.0346778929233551,
0.01668437197804451,
-0.0536750964820385,
-0.035987041890621185,
-0.03045952506363392,
0.03921627625823021,
0.010938663966953754,
-0.018298989161849022,
-0.05600247159600258,
-0.03764529898762703,
-0.020248165354132652,
0.011025940999388695,
-0.031099554151296616,
-0.02270645648241043,
0.0207572802901268,
0.014247901737689972,
0.054169662296772,
0.01530249323695898,
-0.04707116633653641,
-0.006243912037461996,
0.012466004118323326,
0.04646022990345955,
-0.015346131287515163,
0.040845438838005066,
-0.0027310296427458525,
0.029528575018048286,
-0.021760959178209305,
-0.0019309943309053779,
0.014567915350198746,
-0.022095520049333572,
0.010691381059587002,
-0.027943050488829613,
0.05675886943936348,
0.005338417366147041,
-0.04680933803319931,
-0.028612172231078148,
0.03886716812849045,
-0.01066956203430891,
-0.007138496730476618,
-0.028713993728160858,
-0.01087320689111948,
-0.05286051332950592,
-0.05888259783387184,
0.04244551062583923,
-0.015680691227316856,
-0.0018928108038380742,
-0.00941859744489193,
0.025964781641960144,
0.06772662699222565,
-0.054896965622901917,
0.03575430437922478,
0.05702069774270058,
-0.00044001941569149494,
0.0046911160461604595,
-0.03592885658144951,
0.01522976253181696,
-0.01744076982140541,
-0.05463513731956482,
-0.004396557807922363,
0.02099001780152321,
-0.024742910638451576,
0.005498424172401428,
-0.02263372577726841,
-0.06441011279821396,
-0.012058713473379612,
0.02981949783861637,
0.028801269829273224,
0.001179142971523106,
0.02222643420100212,
-0.01468428410589695,
-0.02827761135995388,
0.001576433191075921,
0.06499195843935013,
0.018298989161849022,
-0.001141868531703949,
0.03633615002036095,
-0.014073348604142666,
0.01901174709200859,
0.008167632855474949,
-0.033048730343580246,
-0.040670886635780334,
-0.024510173127055168,
0.039478104561567307,
-0.0005882077966816723,
-0.013338770717382431,
0.02273554913699627,
0.006433011032640934,
-0.011047760024666786,
-0.027913957834243774,
-0.0014409726718440652,
-0.016495272517204285,
0.01232781633734703,
0.0013673329958692193,
-0.03880898654460907,
0.030692262575030327,
-0.02475745603442192,
-0.03936173766851425,
0.0012982391053810716,
0.006891212891787291,
0.011069579049944878,
-0.010560465976595879,
-0.021280938759446144,
0.016364358365535736,
-0.0026182972360402346,
0.057457081973552704,
-0.013142397627234459,
-0.03005223535001278,
-0.011047760024666786,
0.061559081077575684,
0.00825490988790989,
0.003505609231069684,
0.04099090024828911,
-0.017629869282245636,
0.019637230783700943,
-0.011025940999388695,
0.021004563197493553,
0.022866463288664818,
-0.002305556321516633,
-0.018749918788671494,
0.019535407423973083,
0.009607696905732155,
-0.03450334072113037,
0.016146166250109673,
0.018822649493813515,
0.01083684153854847,
0.0062075466848909855,
0.029179468750953674,
-0.03610341250896454,
0.03508518263697624,
0.005571154877543449,
0.009440416470170021,
-0.03805258870124817,
0.029354022815823555,
-0.0331651009619236,
0.006665748544037342,
-0.012895114719867706,
-0.04701298475265503,
0.020044520497322083,
0.024117426946759224,
-0.017498953267931938,
0.009731338359415531,
-0.044801976531744,
0.028117604553699493,
0.008894938044250011,
0.0217755064368248,
-0.05085315182805061,
0.029077647253870964,
-0.034445155411958694,
-0.024495625868439674,
-0.034823354333639145,
0.0004391102702356875,
-0.025222931057214737,
-0.011324135586619377,
-0.03258325532078743,
-0.00827672891318798,
0.021324576810002327,
0.037383466958999634,
-0.010611377656459808,
0.026590263471007347,
-0.014742468483746052,
-0.007200317457318306,
-0.026284795254468918,
0.017789876088500023,
0.02068454958498478,
0.06103542074561119,
0.03203050419688225,
-0.010676834732294083,
-0.012407819740474224,
0.04014722630381584,
-0.06452648341655731,
-0.054344214498996735,
0.017004387453198433,
0.02235735021531582,
-0.04040905460715294,
0.029935866594314575,
-0.043405551463365555,
0.026619356125593185,
-0.07371961325407028,
-0.05091133713722229,
-0.003909263294190168,
0.04424922540783882,
0.03642342612147331,
0.018880832940340042,
-0.00907676387578249,
0.04669296741485596,
0.03799440339207649,
-0.05320962145924568,
0.034852445125579834,
-0.013978798873722553,
0.02957221306860447,
-0.023855598643422127,
0.011840522289276123,
-0.04314372316002846,
0.0027892140205949545,
-0.022080974653363228,
-0.01972450688481331,
0.02215370535850525,
-0.009542238898575306,
0.021426400169730186,
-0.03217596560716629,
0.025906598195433617,
-0.04244551062583923,
0.005476605147123337,
-0.03005223535001278,
-0.0331651009619236,
0.021019108593463898,
-0.046751152724027634,
-0.02174641378223896,
-0.04189275577664375,
-0.037150729447603226,
-0.03680162504315376,
-0.0465766005218029,
-0.03296145424246788,
0.012589646503329277,
-0.019404493272304535,
-0.020291803404688835,
-0.04529654234647751,
-0.0007654883083887398,
0.004752936773002148,
0.009607696905732155,
0.0051893200725317,
-0.03627796471118927,
-0.041485466063022614,
0.017629869282245636,
-0.012240540236234665,
-0.0736614316701889,
-0.044947437942028046,
-0.025179293006658554,
-0.025601129978895187,
-0.034008774906396866,
-0.034619707614183426,
0.027928505092859268,
0.01205144077539444,
0.03549247607588768,
-0.013353316113352776,
-0.05254049971699715,
-0.009854979813098907,
-0.00673484243452549,
0.036772530525922775,
-0.03275780752301216,
-0.003354693530127406,
-0.02851034887135029,
-0.009033125825226307,
-0.07273048162460327,
-0.01665527932345867,
0.001208235160447657,
0.025906598195433617,
0.021077293902635574,
0.002952857641503215,
-0.018386265262961388,
0.04131091386079788,
0.0701121836900711,
0.017426222562789917,
0.03668525442481041,
0.03781985118985176,
0.00572752533480525,
0.007767615374177694,
0.0005072951316833496,
0.01418971735984087,
-0.016335265710949898,
0.04288189113140106,
0.0026055695489048958,
-0.023710137233138084,
0.010967756621539593,
0.0018855377566069365,
-0.007731250021606684,
-0.041049085557460785,
-0.012851475737988949,
0.013244220986962318,
-0.00242374325171113,
0.00690575921908021,
-0.017978975549340248,
-0.022066427394747734,
0.020771825686097145,
-0.04669296741485596,
-0.0024382893461734056,
0.004218367859721184,
0.003621977986767888,
-0.01602979749441147,
-0.011905979365110397,
0.01744076982140541,
-0.025601129978895187,
0.0022746457252651453,
0.014887929894030094,
-0.009527693502604961,
0.04445286840200424,
0.049660373479127884,
-0.03668525442481041,
0.02574658952653408,
0.05288960784673691,
-0.015258855186402798,
0.02136821486055851,
0.01928812451660633,
-0.04803121089935303,
0.018226258456707,
-0.0018382628913968801,
0.02523747645318508,
0.006673021707683802,
0.0741850882768631,
-0.0031165010295808315,
-0.050620414316654205,
-0.05946443974971771,
0.02539748325943947,
-0.028801269829273224,
-0.008465828374028206,
0.020044520497322083,
0.017280763015151024,
-0.014095167629420757,
-0.01627708226442337,
0.02592114359140396,
-0.03505609184503555,
0.03828532621264458,
0.04218367859721184,
-0.04244551062583923,
-0.02557203732430935,
0.05675886943936348,
0.009833160787820816,
0.04957309737801552,
0.023681044578552246,
0.05210411548614502,
-0.010778657160699368,
0.05248231440782547,
0.01493884064257145,
0.01787715218961239,
0.03313600644469261,
0.0030310428701341152,
-0.018720826134085655,
-0.04998038709163666,
-0.0044292863458395,
-0.026313887909054756,
0.009782250039279461,
-0.009665881283581257,
-0.02954312227666378,
-0.013236947357654572,
0.04526745155453682,
-0.03136138245463371,
-0.054693322628736496,
0.04323099926114082,
0.0026564807631075382,
0.027593944221735,
0.03284508362412453,
-0.02106274664402008,
0.02913583070039749,
0.016422541812062263,
0.022080974653363228,
0.014196990057826042,
-0.022415533661842346,
-0.020044520497322083,
-0.023608313873410225,
0.004167456645518541,
-0.036568887531757355,
-0.020946377888321877,
0.013542415574193,
-0.03252507001161575,
-0.042212773114442825,
0.015244308859109879,
-0.005792982876300812,
-0.05030040070414543,
0.019637230783700943,
0.0018428085604682565,
0.04881669953465462,
0.002720119897276163,
-0.049253083765506744,
-0.012109625153243542,
0.04096180573105812,
0.017557138577103615,
-0.05047495290637016,
0.06295550614595413,
0.011644150130450726,
0.014269720762968063,
0.004498380236327648,
-0.006818482652306557,
0.02731756865978241,
0.004843850154429674,
-0.009549512527883053,
-0.052744146436452866,
0.02321556955575943,
-0.03546338155865669,
-0.069879449903965,
0.0648174062371254,
0.05937716364860535,
-0.006883940193802118,
-0.018575364723801613,
-0.056060656905174255,
-0.0020673638209700584,
-0.05192956328392029,
0.008145813830196857,
0.007342142052948475,
0.020742733031511307,
-0.005054768640547991,
-0.0067275697365403175,
0.06702841073274612,
-0.04296916723251343,
0.2504256069660187,
0.09332775324583054,
0.05422784760594368,
0.010793203487992287,
0.011753246188163757,
0.03685980662703514,
0.00321832369081676,
-0.017789876088500023,
0.01141868531703949,
0.008211270906031132,
0.01477156113833189,
-0.01640799641609192,
0.03525973856449127,
0.03726710006594658,
0.007138496730476618,
0.02615388110280037,
-0.06900668144226074,
0.02779758907854557,
-0.029557667672634125,
-0.0259502362459898,
-0.02349194511771202,
-0.008313094265758991,
0.012604192830622196,
-0.005232958123087883,
0.00561479339376092,
0.015331585891544819,
0.01774623803794384,
0.002511019818484783,
-0.027433937415480614,
-0.03453243151307106,
0.004702025558799505,
-0.00041365460492670536,
0.05094042792916298,
0.020611818879842758,
-0.014611553400754929,
-0.030139511451125145,
0.0038038042839616537,
-0.018517181277275085,
-0.019811782985925674,
0.04974764958024025,
-0.023608313873410225,
-0.02448108047246933,
-0.0009664062527008355,
-0.03453243151307106,
-0.014982479624450207,
0.019200846552848816,
-0.058824412524700165,
0.05347144976258278,
0.027259385213255882,
-0.03621977940201759,
0.028059419244527817,
-0.009796795435249805,
-0.007327596191316843,
-0.03790712729096413,
-0.06027902290225029,
-0.02625570446252823,
0.03767438977956772,
-0.036568887531757355,
-0.018517181277275085,
0.03642342612147331,
0.037470743060112,
0.003652888350188732,
0.00820399820804596,
0.01210235245525837,
-0.004382011480629444,
0.04427831619977951,
-0.000504113151691854,
0.05035858601331711,
-0.05617702379822731,
-0.02899036929011345,
-0.0002702391939237714,
-0.06086086854338646,
0.018997201696038246,
-0.027928505092859268,
0.03432878851890564,
0.014131532981991768,
-0.03217596560716629,
0.004680206533521414,
0.028626717627048492,
-0.062140922993421555,
-0.008516739122569561,
-0.039710842072963715,
-0.04878760874271393,
-0.026983007788658142,
0.07499967515468597,
0.04899125173687935,
-0.005149317905306816,
-0.004360192455351353,
-0.007542151026427746,
0.03322328254580498,
0.014953386969864368,
0.024219250306487083,
-0.011665969155728817,
-0.023942874744534492,
-0.005552972201257944
] |
1207_11 | Standard vs nonstandard amino acids
The 20 amino acids that are encoded directly by the codons of the universal genetic code are called standard or canonical amino acids. A modified form of methionine (N-formylmethionine) is often incorporated in place of methionine as the initial amino acid of proteins in bacteria, mitochondria and chloroplasts. Other amino acids are called nonstandard or non-canonical. Most of the nonstandard amino acids are also non-proteinogenic (i.e. they cannot be incorporated into proteins during translation), but two of them are proteinogenic, as they can be incorporated translationally into proteins by exploiting information not encoded in the universal genetic code.
The two nonstandard proteinogenic amino acids are selenocysteine (present in many non-eukaryotes as well as most eukaryotes, but not coded directly by DNA) and pyrrolysine (found only in some archaea and at least one bacterium). The incorporation of these nonstandard amino acids is rare. For example, 25 human proteins include selenocysteine in their primary structure, and the structurally characterized enzymes (selenoenzymes) employ selenocysteine as the catalytic moiety in their active sites. Pyrrolysine and selenocysteine are encoded via variant codons. For example, selenocysteine is encoded by stop codon and SECIS element.
N-formylmethionine (which is often the initial amino acid of proteins in bacteria, mitochondria, and chloroplasts) is generally considered as a form of methionine rather than as a separate proteinogenic amino acid. Codon–tRNA combinations not found in nature can also be used to "expand" the genetic code and form novel proteins known as alloproteins incorporating non-proteinogenic amino acids.
Non-proteinogenic amino acids
Aside from the 22 proteinogenic amino acids, many non-proteinogenic amino acids are known. Those either are not found in proteins (for example carnitine, GABA, levothyroxine) or are not produced directly and in isolation by standard cellular machinery (for example, hydroxyproline and selenomethionine). | [
-0.00841581542044878,
-0.01861363835632801,
0.040763452649116516,
-0.015244528651237488,
-0.03772846609354019,
0.038313187658786774,
0.0038946636486798525,
-0.014826870523393154,
-0.018516184762120247,
0.06392956525087357,
-0.010281355120241642,
-0.039120662957429886,
0.015648264437913895,
-0.006466743070632219,
-0.021662544459104538,
-0.02338886633515358,
-0.00784501526504755,
-0.017082225531339645,
-0.051093533635139465,
-0.014785104431211948,
0.005001458339393139,
0.0013539090286940336,
-0.09862305223941803,
0.024920279160141945,
0.008290517143905163,
0.03023846261203289,
0.0328001007437706,
0.013156237080693245,
0.04594241455197334,
0.05618896335363388,
0.012578476220369339,
-0.005391272716224194,
0.00253205350600183,
-0.09171776473522186,
-0.01866932585835457,
-0.04599810019135475,
0.024934200569987297,
0.010107330977916718,
-0.02453046478331089,
0.012905641458928585,
0.03822965919971466,
-0.042044270783662796,
0.03628058359026909,
-0.010100370272994041,
-0.05953023210167885,
-0.016372205689549446,
0.005370389670133591,
0.005815892014652491,
-0.023695148527622223,
0.0052276900969445705,
0.021801764145493507,
0.013372027315199375,
0.03964969515800476,
0.039816759526729584,
-0.0096200630068779,
0.005620984826236963,
0.021342338994145393,
-0.04407687485218048,
-0.0599200464785099,
0.008715136907994747,
-0.007594420108944178,
0.00174720399081707,
0.02660483494400978,
-0.035111140459775925,
-0.013163197785615921,
0.04101404547691345,
0.003137658117339015,
-0.0016366984928026795,
0.013956748880445957,
-0.024906357750296593,
0.006950530223548412,
0.03522251918911934,
-0.02267884649336338,
-0.014311757870018482,
-0.02909686230123043,
0.028818422928452492,
0.050369590520858765,
-0.02859567292034626,
-0.054295580834150314,
0.005732360295951366,
-0.04427178204059601,
0.038118280470371246,
0.04658282548189163,
0.0020326038356870413,
-0.06264874339103699,
-0.001348688267171383,
-0.03338482230901718,
-0.006438898853957653,
0.04466159641742706,
0.0006160460179671645,
-0.014715494588017464,
0.048225611448287964,
-0.018780702725052834,
-0.01037184800952673,
0.010420574806630611,
0.016775941476225853,
-0.03870300203561783,
0.02688327245414257,
-0.005614023655653,
-0.008436697535216808,
0.014715494588017464,
0.018293434754014015,
-0.012508866377174854,
0.06799477338790894,
-0.02830331213772297,
0.034470733255147934,
-0.03160281106829643,
0.04889386519789696,
-0.03274441137909889,
-0.018168136477470398,
-0.012933486141264439,
-0.021133510395884514,
-0.030182773247361183,
-0.05254141613841057,
0.013107510283589363,
0.03463779762387276,
-0.009355545975267887,
0.05231866613030434,
-0.05596621334552765,
-0.018418731167912483,
0.027635058388113976,
-0.037477873265743256,
0.009828892536461353,
0.026437770575284958,
-0.0006839155103079975,
-0.010107330977916718,
-0.019281892105937004,
0.00753873260691762,
-0.01298221293836832,
0.03288362920284271,
0.009627023711800575,
-0.020131129771471024,
0.0049666534177958965,
0.04947858676314354,
-0.04722323268651962,
0.007114113308489323,
-0.028623515740036964,
0.032131846994161606,
0.0007335123955272138,
-0.05181747302412987,
0.02931961417198181,
0.01940719038248062,
-0.054379113018512726,
0.07824132591485977,
0.010622442699968815,
0.0026295071002095938,
-0.01386625599116087,
-0.04975702613592148,
-0.02260923571884632,
0.012856914661824703,
-0.036197055131196976,
0.001141599379479885,
-0.027217399328947067,
0.01711006835103035,
-0.021133510395884514,
0.05440695583820343,
-0.015133152715861797,
0.015021777711808681,
0.009104951284825802,
-0.01574571803212166,
-0.006814791355282068,
0.015606499277055264,
0.004695175681263208,
0.031073778867721558,
-0.03188125044107437,
0.0441882498562336,
-0.012822110205888748,
0.01698477193713188,
-0.006720818113535643,
-0.013678309507668018,
0.002798310713842511,
-0.004879641346633434,
-0.05540933459997177,
0.028164092451334,
0.019574252888560295,
0.05368301644921303,
0.07139172405004501,
-0.03792337328195572,
0.04304664954543114,
0.024975966662168503,
0.008645527064800262,
0.029263924807310104,
0.028470374643802643,
0.04585888236761093,
0.027829965576529503,
0.005175482481718063,
-0.011854534968733788,
0.007831092923879623,
-0.0065815988928079605,
0.0064771841280162334,
0.01610768958926201,
0.07929939031600952,
-0.015439435839653015,
0.004938809666782618,
-0.061646368354558945,
0.008109532296657562,
-0.0634283721446991,
0.024363402277231216,
-0.019643861800432205,
-0.03193693980574608,
-0.022372564300894737,
0.03914850577712059,
0.01802891679108143,
0.014464899897575378,
-0.005217248573899269,
0.01712399162352085,
0.004740421660244465,
0.04413256049156189,
0.008241790346801281,
0.026980726048350334,
0.04571966454386711,
-0.03413660451769829,
-0.02901333011686802,
0.052374351769685745,
-0.032827943563461304,
-0.004535072948783636,
-0.03758924826979637,
-0.002895764308050275,
-0.05192885175347328,
-0.02003367617726326,
0.007253332529217005,
-0.015244528651237488,
0.0054191164672374725,
0.0477801114320755,
-0.016079844906926155,
-0.00948084332048893,
0.03653118014335632,
0.011548252776265144,
-0.028191935271024704,
-0.012216505594551563,
-0.004239231813699007,
-0.008172180503606796,
0.011402071453630924,
-0.014980011619627476,
-0.004061726853251457,
-0.012891720049083233,
0.013608699664473534,
0.034331511706113815,
0.012383569031953812,
0.013218885287642479,
0.02082722820341587,
-0.0026573510840535164,
0.03299500793218613,
0.02951452136039734,
0.01197983231395483,
0.01683163084089756,
-0.024850670248270035,
-0.007670991122722626,
-0.01825166866183281,
0.055576398968696594,
-0.03502761200070381,
0.0124740619212389,
0.07011090964078903,
0.011527369730174541,
-0.015773562714457512,
-0.04736245423555374,
0.028205858543515205,
0.02766290307044983,
-0.04975702613592148,
-0.01653927005827427,
0.029124706983566284,
0.0384802520275116,
0.0038180931005626917,
0.026563068851828575,
0.025560688227415085,
0.036614712327718735,
-0.01262720301747322,
0.03630843013525009,
0.010678131133317947,
-0.005916825961321592,
-0.06320562213659286,
-0.04872680455446243,
-0.04151523485779762,
-0.005172002129256725,
-0.010399691760540009,
-0.05385007709264755,
0.024001430720090866,
-0.025226561352610588,
0.04193289577960968,
0.020507022738456726,
-0.044383157044649124,
-0.009870657697319984,
-0.012209544889628887,
0.011255891062319279,
0.014123812317848206,
0.03845240920782089,
-0.02589481510221958,
0.03416445106267929,
-0.03129652887582779,
0.02189921773970127,
-0.04435531422495842,
0.019977988675236702,
-0.010281355120241642,
-0.04042932391166687,
0.030461212620139122,
0.03079533949494362,
0.010886959731578827,
-0.011207164265215397,
-0.03694883733987808,
0.0010223927674815059,
-0.02252570539712906,
0.008005117997527122,
-0.03614136576652527,
-0.010441457852721214,
-0.04265683516860008,
0.01982484757900238,
-0.02973727136850357,
-0.0015540369786322117,
0.016803786158561707,
0.03736649826169014,
-0.0036197053268551826,
0.020701929926872253,
-0.021147431805729866,
-0.005537453107535839,
-0.011610900983214378,
-0.0025668584275990725,
0.02686935104429722,
0.0863160490989685,
0.0005007549189031124,
-0.05863922834396362,
-0.05655093491077423,
-0.0008749071275815368,
-0.004935328848659992,
-0.011409033089876175,
-0.04012304171919823,
0.0328001007437706,
-0.011360306292772293,
-0.046805575489997864,
0.02324964664876461,
-0.030683964490890503,
-0.03474917262792587,
0.034470733255147934,
0.014339601621031761,
0.015703951939940453,
0.017235366627573967,
0.0011555213714018464,
0.05752547085285187,
0.012926524505019188,
0.005753243342041969,
-0.012801227159798145,
0.023486319929361343,
-0.01717967912554741,
-0.01788969710469246,
0.018014995381236076,
0.027969185262918472,
0.04683341830968857,
0.022121967747807503,
-0.006104772444814444,
0.01397067029029131,
-0.02444693259894848,
-0.014116850681602955,
0.026368161663413048,
0.01802891679108143,
0.03998382389545441,
0.0037276004441082478,
0.024265948683023453,
0.036614712327718735,
-0.022483939304947853,
-0.016803786158561707,
0.0231661144644022,
0.003228150773793459,
0.038118280470371246,
-0.026771897450089455,
-0.037533558905124664,
-0.03338482230901718,
0.022762378677725792,
-0.012042481452226639,
0.0019247087184339762,
0.01832127757370472,
-0.03605783358216286,
0.03360757231712341,
0.022149812430143356,
-0.016065923497080803,
0.027217399328947067,
-0.0035988225135952234,
-0.0070062181912362576,
0.06103380024433136,
0.0146180409938097,
0.03513898700475693,
-0.07796288281679153,
0.0021422391291707754,
0.03653118014335632,
-0.00399211747571826,
0.01832127757370472,
0.0534602627158165,
0.03266087919473648,
-0.044104717671871185,
0.008478463627398014,
-0.021008213981986046,
0.020994290709495544,
-0.03288362920284271,
-0.016511425375938416,
0.008019039407372475,
-0.004663851112127304,
-0.0007034931913949549,
-0.011283735744655132,
0.012557593174278736,
-0.0005064107244834304,
-0.04140385985374451,
0.012773383408784866,
0.0062613943591713905,
0.012146895751357079,
-0.0018655405147001147,
-0.03658686950802803,
-0.0016923862276598811,
-0.00331690302118659,
-0.03758924826979637,
0.011868457309901714,
0.04290743172168732,
-0.0027199997566640377,
-0.012808187864720821,
-0.016650645062327385,
0.01712399162352085,
-0.0009214586461894214,
0.018655404448509216,
-0.005314702168107033,
-0.017485961318016052,
-0.05574346333742142,
0.0005172872333787382,
0.007670991122722626,
-0.03466564044356346,
0.023625537753105164,
-0.025059498846530914,
-0.0003739347157534212,
0.035556644201278687,
-0.027983106672763824,
0.016205143183469772,
-0.013615661300718784,
0.020729774609208107,
0.00632752338424325,
0.019560331478714943,
-0.0011302877683192492,
-0.035751551389694214,
0.007016659714281559,
-0.032633036375045776,
0.014381367713212967,
0.03530604764819145,
-0.03731080889701843,
0.04006735235452652,
-0.030823184177279472,
0.01376184169203043,
0.0024554827250540257,
-0.03655902296304703,
0.002537274267524481,
0.02653522416949272,
0.004388892557471991,
0.053014762699604034,
0.042963117361068726,
-0.010845194570720196,
0.025853049010038376,
0.0334961973130703,
-0.030962402001023293,
0.0442160926759243,
-0.03678177669644356,
0.001748944167047739,
0.014910401776432991,
-0.024502620100975037,
0.029681583866477013,
-0.01819598115980625,
-0.014165577478706837,
-0.05226297676563263,
-0.029848648235201836,
0.0370880588889122,
-0.026688365265727043,
-0.04171014204621315,
0.04221133515238762,
-0.03179771825671196,
-0.022831987589597702,
0.010427535511553288,
0.02047917991876602,
0.0406520739197731,
-0.013260651379823685,
0.010845194570720196,
-0.04079129546880722,
0.044021185487508774,
-0.013803606852889061,
0.02025642804801464,
0.022651001811027527,
-0.030294150114059448,
-0.05660662427544594,
-0.0018028917256742716,
0.008819551207125187,
0.014687650837004185,
-0.0392041951417923,
0.0463600717484951,
-0.03586292639374733,
-0.010037721134722233,
0.032911475747823715,
-0.054434798657894135,
-0.03878653421998024,
-0.0034213175531476736,
-0.0003054126282222569,
0.016358284279704094,
0.0399281345307827,
-0.007733639795333147,
-0.06237030774354935,
-0.006755623035132885,
-0.008534151129424572,
-0.004771746229380369,
0.030544744804501534,
0.08024608343839645,
-0.02217765711247921,
-0.03285578638315201,
0.02039564773440361,
-0.019936222583055496,
0.012891720049083233,
-0.02324964664876461,
0.027913497760891914,
0.010810389183461666,
-0.021091744303703308,
0.02131449617445469,
0.025505000725388527,
-0.014966089278459549,
-0.025073420256376266,
0.03179771825671196,
-0.017987150698900223,
0.035333894193172455,
0.012077285908162594,
0.005446960683912039,
0.02837292104959488,
-0.0059725139290094376,
-0.056717999279499054,
-0.025143031030893326,
0.010462340898811817,
-0.013678309507668018,
0.001041535404510796,
0.037255119532346725,
-0.056077588349580765,
-0.0196160189807415,
-0.04271252453327179,
0.018738936632871628,
-0.05699643865227699,
-0.005220728926360607,
-0.06448644399642944,
0.022483939304947853,
-0.0327722541987896,
0.03928772360086441,
0.032688722014427185,
-0.043687060475349426,
-0.024572230875492096,
-0.031185153871774673,
0.02987649105489254,
-0.012348763644695282,
-0.026855429634451866,
-0.04315802454948425,
-0.04315802454948425,
-0.03215968981385231,
0.009432116523385048,
-0.02724524401128292,
-0.0065537551417946815,
0.011353344656527042,
0.01967170648276806,
0.030071398243308067,
-0.010190863162279129,
-0.0442160926759243,
-0.01034400425851345,
0.04235055297613144,
0.05627249553799629,
-0.008499346673488617,
0.0292360819876194,
-0.010956569574773312,
0.03243812918663025,
-0.047807954251766205,
-0.007789327297359705,
0.02430771291255951,
-0.0011302877683192492,
0.0065850792452692986,
-0.007434317842125893,
0.0363919623196125,
0.004315802361816168,
-0.028038794174790382,
-0.03316206857562065,
0.042601149529218674,
-0.014492743648588657,
-0.03892575576901436,
-0.024363402277231216,
-0.0008431476890109479,
-0.06253737211227417,
-0.05092646926641464,
0.02845645323395729,
-0.013044861145317554,
0.0060282014310359955,
0.0033047213219106197,
0.02681366354227066,
0.034053076058626175,
-0.08191671967506409,
0.006672091316431761,
0.059864357113838196,
-0.02845645323395729,
0.011311579495668411,
-0.004876160994172096,
0.02589481510221958,
-0.0010911322897300124,
-0.05014684051275253,
-0.02389005571603775,
0.04223917797207832,
-0.015536889433860779,
0.004336685407906771,
-0.025574611499905586,
-0.03374679014086723,
-0.016288673505187035,
0.051232751458883286,
0.04427178204059601,
0.003699756460264325,
0.024920279160141945,
0.004371490329504013,
-0.04404902830719948,
0.0065955207683146,
0.04869895800948143,
-0.012634163722395897,
-0.0036510296631604433,
0.05649524927139282,
-0.00623703096061945,
0.01717967912554741,
-0.004228790290653706,
-0.00636580865830183,
-0.03065611980855465,
-0.020799383521080017,
0.04883817955851555,
0.000599948747549206,
-0.006717337761074305,
0.01582925021648407,
-0.01394282653927803,
-0.040401481091976166,
-0.02361161634325981,
0.019281892105937004,
0.006042123772203922,
0.005245092324912548,
0.018014995381236076,
-0.019421111792325974,
0.03151927888393402,
-0.059140417724847794,
-0.041181109845638275,
-0.022581392899155617,
0.009425155818462372,
0.010190863162279129,
-0.026757976040244102,
-0.003671912709251046,
0.02189921773970127,
0.01617729850113392,
0.05535364896059036,
-0.008360126987099648,
0.009223287925124168,
0.007858937606215477,
0.0677720233798027,
0.02539362572133541,
0.017513806000351906,
0.01861363835632801,
0.015703951939940453,
0.018307356163859367,
-0.0050989119336009026,
0.018655404448509216,
-0.009884580038487911,
-0.010845194570720196,
-0.03717159107327461,
0.03700452670454979,
0.0011355085298418999,
-0.02673013135790825,
0.004461982753127813,
-0.000487703102407977,
0.03221537917852402,
0.0020326038356870413,
0.034470733255147934,
-0.010824311524629593,
0.05501952022314072,
0.008325322531163692,
-0.006839154753834009,
-0.027495838701725006,
0.030683964490890503,
-0.045162785798311234,
0.0008292257552966475,
0.002958412980660796,
-0.03692099452018738,
0.01797322928905487,
0.029347456991672516,
-0.027078179642558098,
0.030210617929697037,
-0.04914446175098419,
0.02152332477271557,
0.013142314739525318,
0.030683964490890503,
-0.019017376005649567,
-0.010740779340267181,
-0.0527641661465168,
-0.015522967092692852,
-0.04480081424117088,
-0.027189556509256363,
-0.031547125428915024,
0.0055200508795678616,
-0.03809043765068054,
-0.016803786158561707,
0.03948263078927994,
0.010754701681435108,
-0.03452641889452934,
0.041041888296604156,
-0.024697527289390564,
-0.011088828556239605,
-0.016803786158561707,
0.00511631416156888,
0.020576633512973785,
0.0684959664940834,
0.034192293882369995,
0.0137270363047719,
0.001286909682676196,
0.03770062327384949,
-0.07295098155736923,
-0.02446085587143898,
0.014423133805394173,
0.030266305431723595,
-0.057636845856904984,
0.007698834873735905,
-0.03552880138158798,
0.04819776862859726,
-0.09110520035028458,
-0.0413760170340538,
0.0046777729876339436,
0.027328776195645332,
0.04583103954792023,
0.015871016308665276,
-0.004587280564010143,
0.04463374987244606,
0.015884937718510628,
-0.04251761734485626,
0.041543081402778625,
-0.0028522582724690437,
0.010142136365175247,
-0.010678131133317947,
0.03385816887021065,
-0.05075940862298012,
-0.0032107483129948378,
-0.050230372697114944,
-0.049172304570674896,
0.039399102330207825,
-0.011548252776265144,
0.020771540701389313,
-0.009125834330916405,
0.03881438076496124,
-0.03427582606673241,
0.000718720315489918,
-0.05396145209670067,
-0.04471728205680847,
0.04112542048096657,
-0.027495838701725006,
-0.017931463196873665,
-0.009884580038487911,
-0.042823899537324905,
-0.033050693571567535,
-0.04006735235452652,
-0.026409927755594254,
0.03856378421187401,
-0.05117706581950188,
-0.018502263352274895,
-0.049589961767196655,
-0.038313187658786774,
0.012738578952848911,
-0.0019003453198820353,
0.01397067029029131,
-0.016525346785783768,
-0.025324014946818352,
-0.00529381912201643,
-0.015355903655290604,
-0.0655445083975792,
-0.03641980513930321,
-0.009682712145149708,
-0.025115186348557472,
-0.024084962904453278,
-0.047390297055244446,
0.023973587900400162,
0.024697527289390564,
0.011033140122890472,
0.004761304706335068,
-0.05476892739534378,
0.017778322100639343,
-0.01846049726009369,
0.03577939420938492,
-0.03232675418257713,
0.01397763192653656,
-0.048671115189790726,
-0.012460139580070972,
-0.05524227395653725,
-0.046165164560079575,
0.01660887897014618,
0.018376965075731277,
0.026075800880789757,
-0.007434317842125893,
-0.015606499277055264,
0.028358999639749527,
0.059641607105731964,
0.012682890519499779,
0.04964565113186836,
0.04468943923711777,
0.0025024693459272385,
0.007796288467943668,
-0.011548252776265144,
0.03221537917852402,
-0.010629404336214066,
0.055659931153059006,
0.015147075057029724,
-0.035111140459775925,
0.027704667299985886,
0.023444553837180138,
0.013058783486485481,
-0.05042527988553047,
-0.03001571074128151,
-0.00849238596856594,
0.00040025587077252567,
-0.0178340096026659,
-0.002941010519862175,
0.01591278240084648,
0.00873601995408535,
-0.04112542048096657,
-0.021049978211522102,
0.023583773523569107,
0.015564733184874058,
0.0022605755366384983,
-0.03580724075436592,
0.039399102330207825,
-0.03413660451769829,
-0.0005786307738162577,
0.005944670177996159,
0.007900702767074108,
0.04961780831217766,
0.04254546016454697,
-0.04786364361643791,
0.029124706983566284,
0.04925583675503731,
-0.016232986003160477,
0.03001571074128151,
0.04176583141088486,
-0.0677163377404213,
-0.023500241339206696,
0.01591278240084648,
0.030349837616086006,
0.008213946595788002,
0.08247359097003937,
0.00015662187070120126,
-0.04967349395155907,
-0.06125655397772789,
0.023583773523569107,
-0.040763452649116516,
-0.012397490441799164,
0.026994649320840836,
0.015703951939940453,
-0.007761483546346426,
-0.023973587900400162,
0.03608567640185356,
-0.04605378955602646,
0.0342479832470417,
0.05621680989861488,
-0.03316206857562065,
-0.030461212620139122,
0.03023846261203289,
0.00002309900628461037,
0.03792337328195572,
0.017987150698900223,
0.0684959664940834,
-0.04872680455446243,
0.04126464203000069,
0.007364707998931408,
0.024488698691129684,
0.018502263352274895,
0.004785668104887009,
-0.023625537753105164,
-0.02688327245414257,
0.025560688227415085,
-0.013198002241551876,
0.020701929926872253,
-0.010302238166332245,
-0.012098168954253197,
0.0028122325893491507,
0.05003546550869942,
-0.018140291795134544,
-0.06270443648099899,
0.025045577436685562,
-0.004159180913120508,
0.018502263352274895,
0.030266305431723595,
-0.004729980602860451,
0.01525845006108284,
0.014562353491783142,
0.01669241115450859,
-0.0006456301198340952,
-0.0123000368475914,
-0.026688365265727043,
-0.05454617366194725,
0.0014783364022150636,
-0.033691104501485825,
-0.0246139969676733,
0.017444195225834846,
-0.030349837616086006,
-0.018919922411441803,
0.009077107533812523,
-0.02724524401128292,
-0.052652791142463684,
0.014534508809447289,
-0.010824311524629593,
0.05165041238069534,
0.008123453706502914,
-0.02873489260673523,
-0.0009127574157901108,
0.035612333565950394,
0.022066280245780945,
-0.06521038711071014,
0.06933128088712692,
0.0015975430142134428,
0.027203477919101715,
0.01276642270386219,
-0.024711450561881065,
0.008325322531163692,
-0.013796646147966385,
-0.011917184107005596,
-0.04212780296802521,
0.020520944148302078,
-0.03293931856751442,
-0.04747382923960686,
0.04432746767997742,
0.060922425240278244,
-0.006665130611509085,
-0.01775047741830349,
-0.041236795485019684,
0.009070145897567272,
-0.05162256583571434,
-0.017708713188767433,
-0.006637286860495806,
-0.0007657068781554699,
-0.0029688545037060976,
-0.012926524505019188,
0.03015493042767048,
-0.05641171708703041,
0.22542411088943481,
0.10558401793241501,
0.05254141613841057,
0.005808930844068527,
-0.004865719471126795,
0.019421111792325974,
0.009627023711800575,
-0.014840791933238506,
0.011645706370472908,
0.0018202941864728928,
0.00884043425321579,
-0.007712756749242544,
0.021704310551285744,
0.011784925125539303,
0.004086090251803398,
0.02781604416668415,
-0.0534602627158165,
0.003452642122283578,
-0.02973727136850357,
-0.019713472574949265,
-0.039120662957429886,
-0.0131910415366292,
0.02003367617726326,
0.00884043425321579,
-0.016274752095341682,
0.0008749071275815368,
0.03934341296553612,
0.010281355120241642,
-0.03441504389047623,
-0.03463779762387276,
0.00579152861610055,
0.015481201000511646,
0.05148334801197052,
0.017207521945238113,
-0.010622442699968815,
-0.01624690741300583,
-0.010274394415318966,
-0.0007356877322308719,
-0.023583773523569107,
0.05532580614089966,
-0.015996312722563744,
-0.01776440069079399,
-0.003678873647004366,
-0.039037130773067474,
0.0022327317856252193,
0.026841508224606514,
-0.05610543489456177,
0.02973727136850357,
0.03488839045166969,
-0.03246597200632095,
0.02873489260673523,
-0.03394169732928276,
0.004465463571250439,
-0.03806259483098984,
-0.042322710156440735,
-0.034832704812288284,
0.027969185262918472,
-0.029904335737228394,
-0.0005855917697772384,
0.005530491936951876,
0.023945743218064308,
0.02189921773970127,
0.009543492458760738,
0.0049910168163478374,
0.0062857577577233315,
0.04101404547691345,
0.01504962146282196,
0.057581160217523575,
-0.017499882727861404,
-0.029570208862423897,
-0.0020065000280737877,
-0.06081105023622513,
0.0235280841588974,
-0.028414687141776085,
0.030071398243308067,
0.003069788683205843,
-0.006776506081223488,
0.007051464635878801,
0.012836032547056675,
-0.02945883199572563,
-0.016845552250742912,
-0.004782187752425671,
-0.05025821551680565,
-0.005112833809107542,
0.07746169716119766,
0.05320966988801956,
0.00838101003319025,
0.005781087093055248,
-0.016859473660588264,
0.022567471489310265,
0.0096200630068779,
0.025407547131180763,
0.03449857607483864,
-0.03229890763759613,
-0.032187532633543015
] |
1207_12 | Non-proteinogenic amino acids that are found in proteins are formed by post-translational modification, which is modification after translation during protein synthesis. These modifications are often essential for the function or regulation of a protein. For example, the carboxylation of glutamate allows for better binding of calcium cations, and collagen contains hydroxyproline, generated by hydroxylation of proline. Another example is the formation of hypusine in the translation initiation factor EIF5A, through modification of a lysine residue. Such modifications can also determine the localization of the protein, e.g., the addition of long hydrophobic groups can cause a protein to bind to a phospholipid membrane.
Some non-proteinogenic amino acids are not found in proteins. Examples include 2-aminoisobutyric acid and the neurotransmitter gamma-aminobutyric acid. Non-proteinogenic amino acids often occur as intermediates in the metabolic pathways for standard amino acids – for example, ornithine and citrulline occur in the urea cycle, part of amino acid catabolism (see below). A rare exception to the dominance of α-amino acids in biology is the β-amino acid beta alanine (3-aminopropanoic acid), which is used in plants and microorganisms in the synthesis of pantothenic acid (vitamin B5), a component of coenzyme A.
In human nutrition | [
-0.021420475095510483,
0.009861474856734276,
0.02734743058681488,
0.017924724146723747,
-0.03838134929537773,
0.018082967028021812,
0.03872660920023918,
-0.00499547366052866,
0.005135735496878624,
0.036568738520145416,
-0.002166863065212965,
-0.05429206043481827,
-0.0014961245469748974,
-0.02199590764939785,
-0.01995312236249447,
-0.014464935287833214,
-0.01383915264159441,
-0.043157439678907394,
-0.02199590764939785,
-0.009588144719600677,
0.011875488795340061,
-0.009624108672142029,
-0.0314473882317543,
0.03536032885313034,
-0.007031066343188286,
0.026484282687306404,
0.030497923493385315,
0.01805419661104679,
0.05161629989743233,
0.06105339154601097,
-0.0173780620098114,
0.006912383250892162,
0.0007323278114199638,
-0.07762584835290909,
-0.003801451064646244,
-0.028498295694589615,
0.028196193277835846,
-0.014903702773153782,
0.015407206490635872,
0.019737334921956062,
0.038812924176454544,
-0.03524524345993996,
0.007246853318065405,
-0.005286786239594221,
-0.04842264577746391,
-0.0075022014789283276,
-0.00038976562791503966,
-0.008516401052474976,
-0.024470267817378044,
0.017550691962242126,
0.006718175020068884,
0.010623923502862453,
0.02766391821205616,
0.052134186029434204,
-0.04099956899881363,
-0.008609909564256668,
0.016601229086518288,
-0.05360154062509537,
-0.03069932572543621,
0.03662627935409546,
-0.004833633080124855,
-0.0073331682942807674,
0.015061946585774422,
-0.026426738128066063,
0.01301916129887104,
0.03642487898468971,
-0.010911639779806137,
0.03780591860413551,
0.024916227906942368,
-0.023161159828305244,
-0.023549577221274376,
0.005862218793481588,
-0.010156383737921715,
-0.011537422426044941,
-0.028440752997994423,
0.004581881687045097,
-0.000022674514184473082,
-0.032885968685150146,
-0.030584238469600677,
0.001958268927410245,
-0.028239350765943527,
0.03438209369778633,
0.042582008987665176,
0.028181808069348335,
-0.04036659374833107,
0.02327624522149563,
-0.04709915444254875,
0.009393936023116112,
0.0552990660071373,
0.0226144976913929,
-0.00901271216571331,
0.062204256653785706,
-0.03702908381819725,
-0.013163018971681595,
0.018888572230935097,
-0.006624666973948479,
-0.029577232897281647,
0.012285484932363033,
-0.020269611850380898,
-0.020111367106437683,
0.019089974462985992,
-0.01283933874219656,
-0.02562113292515278,
0.025851305574178696,
-0.019535934552550316,
0.036913998425006866,
-0.0057183606550097466,
0.04566057026386261,
-0.05104086548089981,
-0.02728988789021969,
-0.009437093511223793,
-0.0007853754796087742,
-0.025606747716665268,
-0.06070813164114952,
0.021895207464694977,
0.03579190373420715,
-0.022787127643823624,
0.03935958445072174,
-0.04957351088523865,
-0.000608250149525702,
0.030756868422031403,
0.0021686614491045475,
0.03196527808904648,
0.026095865294337273,
0.019190674647688866,
-0.00333391223102808,
-0.03035406582057476,
0.020212067291140556,
-0.024240095168352127,
0.02163626253604889,
-0.02766391821205616,
-0.009962175972759724,
-0.01772332191467285,
0.05699659138917923,
-0.029519688338041306,
-0.01900365948677063,
-0.034899983555078506,
0.05135735496878624,
-0.022859057411551476,
-0.025218330323696136,
0.025132015347480774,
0.02297414466738701,
-0.027865320444107056,
0.07284975796937943,
0.0010780368465930223,
0.006365722510963678,
0.0011463694972917438,
-0.031073356047272682,
-0.036827683448791504,
0.012105661444365978,
-0.05478117614984512,
-0.01315582636743784,
0.006624666973948479,
0.002197433030232787,
-0.044193219393491745,
0.06076567620038986,
-0.030497923493385315,
-0.0018791469046846032,
-0.0024473865050822496,
-0.01035059243440628,
-0.017536306753754616,
0.004099956713616848,
0.010544801130890846,
0.026829542592167854,
-0.025563590228557587,
0.035158928483724594,
-0.04842264577746391,
0.010026912204921246,
-0.011767595075070858,
-0.022096609696745872,
-0.002504929667338729,
0.015004402957856655,
-0.057543251663446426,
0.016169654205441475,
-0.001631890656426549,
0.04931456968188286,
0.06168636679649353,
-0.054493460804224014,
0.037230484187603,
0.011594965122640133,
0.02064364217221737,
0.01386073138564825,
0.004815651103854179,
0.04473987966775894,
0.03636733442544937,
0.013918274082243443,
-0.025203945115208626,
-0.008394122123718262,
0.017737707123160362,
-0.000534972408786416,
0.008027283474802971,
0.05808991566300392,
-0.04295603930950165,
0.012932846322655678,
-0.05501135066151619,
0.01596825197339058,
-0.0559895858168602,
0.042179204523563385,
-0.007379922084510326,
-0.019766107201576233,
-0.018111739307641983,
0.04508513957262039,
-0.007703603245317936,
-0.01900365948677063,
-0.018744714558124542,
0.015392820350825787,
0.0031235197093337774,
0.04373287409543991,
0.029519688338041306,
0.034813668578863144,
0.03996378928422928,
-0.034899983555078506,
-0.03979115933179855,
0.01083251740783453,
-0.03435332328081131,
-0.021593105047941208,
-0.022600112482905388,
0.003042599419131875,
-0.07348273694515228,
-0.015594221651554108,
0.01451528538018465,
-0.027548832818865776,
0.00766763836145401,
0.04793353006243706,
0.0032529919408261776,
0.013206176459789276,
0.03363403305411339,
-0.0059701125137507915,
-0.016198426485061646,
-0.012004961259663105,
0.010530414991080761,
0.005556520540267229,
-0.002724313409999013,
-0.03311614319682121,
0.007311589550226927,
0.0055313450284302235,
-0.0038553979247808456,
0.033490173518657684,
0.02634042501449585,
0.022110994905233383,
0.025923235341906548,
0.004898369312286377,
0.02635481022298336,
0.027908477932214737,
0.025923235341906548,
0.009120605885982513,
-0.04102833941578865,
-0.03841011971235275,
-0.005930551327764988,
0.04968860000371933,
-0.03423823416233063,
0.014234762638807297,
0.06007515639066696,
0.02598077803850174,
0.016917716711759567,
-0.04770335555076599,
0.03300105407834053,
0.01333564892411232,
-0.03466980904340744,
-0.022873442620038986,
0.009480250999331474,
0.04091325402259827,
-0.032195448875427246,
0.03000880591571331,
0.05734185129404068,
0.02897302806377411,
-0.014990017749369144,
0.03725925460457802,
0.013234947808086872,
-0.013040740042924881,
-0.0740581676363945,
-0.011048304848372936,
-0.0642758160829544,
0.00507459556683898,
0.004714950453490019,
-0.019464004784822464,
0.009523408487439156,
-0.021406089887022972,
0.03596453368663788,
0.039503443986177444,
-0.0681312084197998,
-0.03527401387691498,
-0.030238980427384377,
0.02598077803850174,
0.02071557193994522,
0.05161629989743233,
-0.007574130780994892,
0.03688522428274155,
-0.03035406582057476,
0.022168537601828575,
-0.03780591860413551,
0.02365027740597725,
-0.048134930431842804,
-0.006833261344581842,
0.037777144461870193,
0.0393020436167717,
0.01967979222536087,
-0.02928951568901539,
-0.050235260277986526,
-0.0013189992168918252,
-0.023592734709382057,
0.006818875670433044,
-0.04125851392745972,
0.00041651425999589264,
-0.03035406582057476,
0.041200969368219376,
-0.04770335555076599,
0.033518943935632706,
0.009861474856734276,
0.002943697152659297,
0.01532089151442051,
-0.008861660957336426,
-0.007279221434146166,
0.01604018174111843,
-0.026930242776870728,
0.011134619824588299,
0.03625224903225899,
0.05996007099747658,
0.011343213729560375,
-0.04758827015757561,
-0.05696782097220421,
0.004607056733220816,
-0.011508651077747345,
0.000059172896726522595,
0.01048725750297308,
0.035130154341459274,
-0.002756681526079774,
-0.04074062407016754,
0.02664252556860447,
-0.026455510407686234,
-0.029145658016204834,
0.0006347739836201072,
0.01598263904452324,
0.028095493093132973,
0.014349848963320255,
-0.011976189911365509,
0.019205059856176376,
0.048537734895944595,
-0.04005010426044464,
0.018787872046232224,
0.002799839014187455,
-0.009998139925301075,
0.006779314484447241,
0.037144169211387634,
0.027232345193624496,
0.06007515639066696,
-0.003495752578601241,
0.0065671238116919994,
0.010523222386837006,
-0.032109133899211884,
0.004024431109428406,
0.0346122682094574,
0.019118746742606163,
0.026743227615952492,
-0.024614127352833748,
0.03561927378177643,
0.04836510494351387,
-0.0012767409207299352,
-0.019464004784822464,
0.013983010314404964,
0.02127661742269993,
0.006167917512357235,
-0.01900365948677063,
-0.0681312084197998,
-0.012767408974468708,
0.009178148582577705,
-0.01552229281514883,
0.016284741461277008,
0.02628288045525551,
-0.0321379080414772,
0.04410690441727638,
0.030469153076410294,
-0.0273042730987072,
0.0031271162442862988,
0.007178520783782005,
0.006505983881652355,
0.044883739203214645,
0.013033546507358551,
0.04430830478668213,
-0.052134186029434204,
0.01662999950349331,
0.020744342356920242,
0.027275502681732178,
0.03472735360264778,
0.01696087419986725,
0.03259825333952904,
-0.04701283946633339,
0.05731308087706566,
-0.045200224965810776,
-0.000992621062323451,
-0.012414956465363503,
-0.037777144461870193,
0.017593849450349808,
0.00740869389846921,
-0.01201934739947319,
-0.0096528809517622,
-0.0014250946696847677,
0.014421777799725533,
-0.010451293550431728,
0.021478019654750824,
0.021147144958376884,
-0.007423079572618008,
-0.018413841724395752,
0.01281056646257639,
0.014249147847294807,
-0.010782167315483093,
-0.022456254810094833,
0.004945123102515936,
0.06692280620336533,
0.002756681526079774,
0.00766763836145401,
0.007602902129292488,
0.01449370663613081,
-0.02828250825405121,
0.01035778596997261,
0.03397928923368454,
-0.027764620259404182,
-0.03780591860413551,
0.0036468037869781256,
-0.02235555462539196,
-0.03374911844730377,
0.012285484932363033,
-0.021492404863238335,
0.027922863140702248,
-0.003529918845742941,
-0.014004589058458805,
0.03630979359149933,
-0.006660631392151117,
0.029922490939497948,
0.016227196902036667,
0.001676846412010491,
-0.029462145641446114,
0.008379735983908176,
0.03196527808904648,
-0.02470044232904911,
0.02232678234577179,
0.04309989511966705,
-0.03325999900698662,
0.033547718077898026,
0.0019294972298666835,
0.0012893285602331161,
-0.0014268928207457066,
-0.015565450303256512,
-0.0347561240196228,
0.010364978574216366,
0.02199590764939785,
0.0526808500289917,
0.03794977441430092,
-0.019823649898171425,
0.018226824700832367,
0.03426700830459595,
-0.03259825333952904,
0.030814412981271744,
-0.06042041629552841,
-0.010005333460867405,
0.03170633316040039,
-0.010300242342054844,
0.02238432504236698,
-0.0213053897023201,
-0.023808520287275314,
-0.0186152420938015,
-0.07359781861305237,
0.028224965557456017,
-0.006473615765571594,
-0.013220562599599361,
0.02739058807492256,
-0.06283723562955856,
-0.0028915484435856342,
0.018198054283857346,
0.03633856400847435,
0.01901804469525814,
-0.014227569103240967,
0.0032422025687992573,
-0.052536990493535995,
0.0290305707603693,
-0.04272586479783058,
0.00018454300879966468,
-0.008458858355879784,
-0.032454393804073334,
-0.02770707570016384,
-0.004567495547235012,
0.020399082452058792,
0.025822535157203674,
-0.05469486117362976,
0.05656501650810242,
-0.0380648635327816,
-0.0009449681383557618,
0.00599528755992651,
-0.06404563784599304,
-0.0070202769711613655,
-0.009947789832949638,
-0.016860174015164375,
0.03996378928422928,
0.04402058944106102,
0.010882867500185966,
-0.05498258024454117,
0.0075813233852386475,
-0.019420847296714783,
-0.017895951867103577,
-0.00012452719965949655,
0.07325255870819092,
-0.029246358200907707,
-0.03700031340122223,
0.026210952550172806,
-0.036194704473018646,
0.0226144976913929,
0.004261797294020653,
0.00434451550245285,
0.007883425801992416,
-0.02998003549873829,
0.01667315699160099,
0.03225299343466759,
-0.04209288954734802,
-0.03003757819533348,
0.03964729979634285,
-0.027822162955999374,
0.02894425578415394,
0.02162187732756138,
0.005786693189293146,
0.020212067291140556,
0.025563590228557587,
-0.02333378978073597,
-0.044854965060949326,
0.03674136847257614,
-0.022873442620038986,
0.021593105047941208,
0.031073356047272682,
-0.053169965744018555,
-0.015033175237476826,
-0.04370409995317459,
0.042524464428424835,
-0.041517458856105804,
-0.02439833991229534,
-0.0642758160829544,
0.03541787341237068,
-0.02937583066523075,
0.021075217053294182,
0.02563551999628544,
-0.027203572914004326,
-0.0346122682094574,
-0.021808892488479614,
0.015622992999851704,
-0.017234204337000847,
-0.028239350765943527,
-0.043905504047870636,
-0.044164445251226425,
0.0017487754812464118,
0.02533341757953167,
-0.019564706832170486,
-0.004934333730489016,
0.02134854719042778,
0.002107521751895547,
0.06421826779842377,
-0.01801103912293911,
-0.040136419236660004,
-0.01673070155084133,
0.011767595075070858,
0.08148124814033508,
-0.005398276261985302,
0.026110250502824783,
-0.02228362485766411,
0.059212006628513336,
-0.028498295694589615,
0.017565077170729637,
0.027146030217409134,
-0.01135040633380413,
-0.016572456806898117,
-0.021866437047719955,
0.037489429116249084,
0.023204317316412926,
-0.032195448875427246,
-0.03498629853129387,
0.03397928923368454,
-0.033490173518657684,
-0.02728988789021969,
-0.0466100350022316,
-0.005078191868960857,
-0.051904015243053436,
-0.016169654205441475,
0.052479445934295654,
0.00257685873657465,
-0.009609723463654518,
0.0025211137253791094,
0.018198054283857346,
0.04376164451241493,
-0.05558678135275841,
0.029231972992420197,
0.04099956899881363,
0.010739009827375412,
0.0034723756834864616,
0.013299684040248394,
0.060535501688718796,
0.010724623687565327,
-0.029922490939497948,
-0.006229056976735592,
0.03872660920023918,
-0.0321379080414772,
-0.008566752076148987,
-0.011213741265237331,
-0.034871213138103485,
-0.007117381319403648,
0.029418988153338432,
0.030210208147764206,
0.022082222625613213,
0.013932660222053528,
-0.01117777731269598,
-0.0473005548119545,
0.025952007621526718,
0.03973361477255821,
-0.01119216252118349,
0.0003293002664577216,
0.03725925460457802,
-0.03541787341237068,
-0.0020661624148488045,
-0.004596267361193895,
-0.01763700693845749,
-0.043905504047870636,
-0.00441284803673625,
0.04433707520365715,
0.013932660222053528,
-0.03435332328081131,
0.0190324317663908,
-0.02897302806377411,
-0.020442239940166473,
-0.008437279611825943,
0.00028996405308134854,
-0.001873752218671143,
-0.005527748726308346,
0.04099956899881363,
-0.05124226585030556,
0.03659750893712044,
-0.039158184081315994,
-0.029519688338041306,
0.0003693107864819467,
0.0055349417962133884,
-0.0028268122114241123,
-0.06318249553442001,
-0.03590698912739754,
0.011407949961721897,
-0.028598997741937637,
0.032109133899211884,
-0.034180693328380585,
0.004862404894083738,
0.024139394983649254,
0.05029280483722687,
0.0057507287710905075,
-0.002620016224682331,
0.03990624472498894,
-0.02539096027612686,
0.017162274569272995,
0.0012920259032398462,
0.019147517159581184,
0.000004046009962621611,
0.002853785641491413,
-0.03340385854244232,
-0.013637751340866089,
0.00999094732105732,
-0.011861102655529976,
0.014090904034674168,
0.01972294971346855,
0.036137163639068604,
0.010710237547755241,
-0.0035568922758102417,
-0.05432083085179329,
0.04707038030028343,
0.02396676503121853,
-0.0005529546760953963,
0.00012036880070809275,
-0.009422707371413708,
-0.03104458563029766,
-0.0028591803275048733,
-0.021118374541401863,
-0.03072809800505638,
-0.012350221164524555,
0.028728468343615532,
-0.016184039413928986,
0.023750977590680122,
-0.04473987966775894,
0.008897625841200352,
0.033144913613796234,
0.013846345245838165,
-0.02933267317712307,
-0.012796181254088879,
-0.006297389976680279,
-0.03743188455700874,
-0.06042041629552841,
-0.028095493093132973,
-0.02363589033484459,
0.01929137483239174,
-0.028742855414748192,
0.003689961042255163,
0.02327624522149563,
0.05832008644938469,
-0.0037834688555449247,
0.031073356047272682,
-0.03170633316040039,
-0.006901593878865242,
-0.030411608517169952,
0.01734929159283638,
-0.013501085340976715,
0.0740581676363945,
-0.004056799225509167,
0.021406089887022972,
-0.005099770613014698,
0.034871213138103485,
-0.04807738959789276,
-0.019852422177791595,
-0.013256526552140713,
0.008998326025903225,
-0.055903270840644836,
-0.01433546282351017,
-0.05328505113720894,
0.03179264813661575,
-0.05575941130518913,
-0.03311614319682121,
-0.021219074726104736,
0.03003757819533348,
0.050868235528469086,
0.038841694593429565,
0.010264277458190918,
0.07049048691987991,
0.026095865294337273,
-0.04341638460755348,
0.019521549344062805,
-0.02428325265645981,
0.033864203840494156,
-0.01638544164597988,
0.042207974940538406,
-0.03167756274342537,
0.003483165055513382,
-0.026800770312547684,
-0.005614063702523708,
0.024887457489967346,
-0.02436956763267517,
-0.0044703916646540165,
-0.022168537601828575,
0.059499721974134445,
-0.013105476275086403,
0.00042707883403636515,
-0.03734556958079338,
-0.014126868918538094,
0.02271519973874092,
-0.05201910063624382,
-0.03294351324439049,
-0.0692245364189148,
-0.02098890207707882,
-0.0016939295455813408,
-0.06007515639066696,
-0.025462890043854713,
0.028210580348968506,
-0.03898555412888527,
-0.037489429116249084,
-0.022585727274417877,
-0.014788616448640823,
0.012630743905901909,
0.012976003810763359,
0.042207974940538406,
-0.0239955373108387,
-0.05472363531589508,
0.006139145698398352,
-0.0012695479672402143,
-0.045171454548835754,
-0.03864029422402382,
-0.006804489530622959,
-0.020456627011299133,
-0.03912941366434097,
-0.016184039413928986,
0.031159671023488045,
0.024757985025644302,
0.0025193155743181705,
-0.026210952550172806,
-0.04839387536048889,
-0.00407478166744113,
-0.01867278479039669,
0.05665133148431778,
-0.02562113292515278,
-0.02798040769994259,
-0.029203200712800026,
-0.020528554916381836,
-0.03593576326966286,
-0.049861229956150055,
-0.022168537601828575,
0.029462145641446114,
0.012968810275197029,
-0.008660259656608105,
-0.0054881880059838295,
0.024340795353055,
0.05978744104504585,
0.005833447445183992,
0.0399925597012043,
0.03369157388806343,
0.012940038926899433,
-0.008904818445444107,
-0.01799665205180645,
0.04540162533521652,
0.005409065634012222,
0.020255224779248238,
0.0070346626453101635,
-0.011055497452616692,
0.027174800634384155,
0.014731072820723057,
0.013903888873755932,
-0.038208719342947006,
-0.018068581819534302,
0.003562286961823702,
0.013220562599599361,
-0.017910337075591087,
-0.012127240188419819,
0.016270354390144348,
0.023851677775382996,
-0.020931357517838478,
-0.008494822308421135,
0.03242562338709831,
0.011738823726773262,
0.0023520805407315493,
-0.007883425801992416,
0.011443914845585823,
-0.03665505349636078,
0.013666522689163685,
-0.005211261101067066,
0.01962224952876568,
0.024556582793593407,
0.021060829982161522,
-0.04873913526535034,
0.016270354390144348,
0.06847646832466125,
-0.021161532029509544,
-0.0077539533376693726,
0.05259453505277634,
-0.07520902901887894,
-0.015939481556415558,
-0.008379735983908176,
0.04045290872454643,
-0.007789917755872011,
0.051155950874090195,
0.008207106031477451,
-0.025506047531962395,
-0.03996378928422928,
0.03910063952207565,
-0.03262702375650406,
-0.0025157190393656492,
0.03366280347108841,
0.02671445533633232,
-0.014033361338078976,
-0.017147889360785484,
0.0459195151925087,
-0.0379210039973259,
0.027102872729301453,
0.05265207588672638,
-0.029893720522522926,
-0.017737707123160362,
0.030555468052625656,
-0.019909964874386787,
0.05472363531589508,
0.020916972309350967,
0.05524152144789696,
-0.030267750844359398,
0.03395051881670952,
0.004067588597536087,
-0.009393936023116112,
0.010501643642783165,
-0.006574316881597042,
-0.03740311414003372,
-0.045171454548835754,
0.023477647453546524,
-0.017493149265646935,
-0.004603460431098938,
-0.0096528809517622,
-0.020586099475622177,
-0.006196688860654831,
0.02534780278801918,
-0.06473615765571594,
-0.05469486117362976,
0.037172943353652954,
-0.0007049048435874283,
0.026167795062065125,
0.013716872781515121,
0.0002447836159262806,
-0.005322751123458147,
0.028613382950425148,
0.023189930245280266,
0.03302982822060585,
0.0386115238070488,
-0.03325999900698662,
-0.04269709438085556,
0.008163949474692345,
-0.05374540016055107,
-0.003909344784915447,
0.04459602013230324,
-0.031850188970565796,
-0.04476865008473396,
0.046236004680395126,
-0.008775345981121063,
-0.07342518866062164,
0.014774230308830738,
-0.007948162034153938,
0.05898183584213257,
-0.006340546999126673,
-0.04200657457113266,
0.012846531346440315,
0.03035406582057476,
0.02097451500594616,
-0.028483910486102104,
0.040826939046382904,
-0.004527934826910496,
0.001933093648403883,
-0.0004949619178660214,
-0.032540708780288696,
0.011889874935150146,
-0.009609723463654518,
-0.01381757389754057,
-0.06732560694217682,
0.016514914110302925,
-0.04071184992790222,
-0.04908439517021179,
0.04471110925078392,
0.042524464428424835,
-0.012220748700201511,
-0.009401128627359867,
-0.0309582706540823,
0.014407391659915447,
-0.055126436054706573,
0.011033918708562851,
-0.011127426289021969,
-0.005308364983648062,
0.005693185608834028,
-0.027448132634162903,
0.023492032662034035,
-0.04663880541920662,
0.24237218499183655,
0.10208173096179962,
0.04272586479783058,
-0.017162274569272995,
0.008523594588041306,
0.04358901455998421,
0.022096609696745872,
0.0014574626693502069,
0.007131766993552446,
0.03602207824587822,
0.010300242342054844,
-0.00048057606909424067,
0.018557699397206306,
0.015853166580200195,
-0.0018827433232218027,
0.04062553495168686,
-0.06651999801397324,
0.020226454362273216,
-0.03478489816188812,
-0.008264649659395218,
-0.02931828796863556,
0.006196688860654831,
0.01199776865541935,
-0.024513425305485725,
-0.006444844417273998,
-0.002893346594646573,
0.00524362875148654,
0.018787872046232224,
-0.00782588217407465,
-0.011537422426044941,
-0.0156517643481493,
-0.012321448884904385,
0.03331754356622696,
-0.017248589545488358,
-0.026944627985358238,
0.010393749922513962,
0.03536032885313034,
-0.02327624522149563,
-0.0014997210819274187,
0.0354466438293457,
-0.001631890656426549,
-0.04672512039542198,
-0.012724251486361027,
-0.03593576326966286,
-0.0029868544079363346,
0.01966540701687336,
-0.05670887604355812,
0.0552990660071373,
0.07831636816263199,
-0.026915857568383217,
0.030095120891928673,
-0.04476865008473396,
-0.0005062008276581764,
0.0064304587431252,
-0.06824629753828049,
-0.05066683515906334,
0.004880387336015701,
-0.04309989511966705,
0.018874187022447586,
0.006081602536141872,
0.02198152244091034,
0.005966516211628914,
-0.0013198984088376164,
0.010875674895942211,
0.01067427359521389,
0.01967979222536087,
-0.003689961042255163,
0.06416072696447372,
-0.06939716637134552,
-0.052479445934295654,
0.013443542644381523,
-0.05990252643823624,
0.01101233996450901,
-0.03561927378177643,
0.06479370594024658,
-0.016140881925821304,
-0.03725925460457802,
0.021233459934592247,
-0.01451528538018465,
-0.05996007099747658,
0.004099956713616848,
0.023492032662034035,
-0.009775159880518913,
-0.00884727481752634,
0.08056055754423141,
0.03556172922253609,
0.009185342118144035,
0.005056613590568304,
-0.03265579789876938,
0.015939481556415558,
0.026196565479040146,
0.003607242600992322,
0.025462890043854713,
-0.03524524345993996,
-0.02002505213022232
] |
1207_13 | In human nutrition
When taken up into the human body from the diet, the 20 standard amino acids either are used to synthesize proteins, other biomolecules, or are oxidized to urea and carbon dioxide as a source of energy. The oxidation pathway starts with the removal of the amino group by a transaminase; the amino group is then fed into the urea cycle. The other product of transamidation is a keto acid that enters the citric acid cycle. Glucogenic amino acids can also be converted into glucose, through gluconeogenesis. Of the 20 standard amino acids, nine (His, Ile, Leu, Lys, Met, Phe, Thr, Trp and Val) are called essential amino acids because the human body cannot synthesize them from other compounds at the level needed for normal growth, so they must be obtained from food. In addition, cysteine, tyrosine, and arginine are considered semiessential amino acids, and taurine a semiessential aminosulfonic acid in children. The metabolic pathways that synthesize these monomers are not fully developed. The amounts required also depend on the age and health of the individual, so it is hard to make general statements about the dietary requirement for some amino acids. Dietary exposure to the nonstandard amino acid BMAA has been linked to human neurodegenerative diseases, including ALS.
Non-protein functions | [
-0.0035618296824395657,
0.007845823653042316,
0.013470719568431377,
0.03527354449033737,
-0.056263480335474014,
0.018536755815148354,
0.025736622512340546,
0.0032842138316482306,
-0.004844668786972761,
0.03968636691570282,
-0.03829284384846687,
-0.036231592297554016,
0.015488424338400364,
-0.042734697461128235,
-0.03222521394491196,
0.029481716454029083,
-0.047234613448381424,
-0.0454636812210083,
-0.01744806580245495,
-0.009870786219835281,
0.03716060519218445,
0.0035055805929005146,
-0.030947817489504814,
0.033531639724969864,
0.008636937476694584,
0.021410895511507988,
0.060444049537181854,
-0.0073232525028288364,
0.027957549318671227,
0.05841182917356491,
-0.027696264907717705,
-0.011779622174799442,
0.016577113419771194,
-0.05060229450464249,
-0.03861219435930252,
-0.026534995064139366,
0.040150873363018036,
-0.034634847193956375,
0.00013551917800214142,
-0.011003023013472557,
0.03298003971576691,
-0.05614735558629036,
0.021512506529688835,
0.03239940479397774,
-0.047495901584625244,
-0.0010660085827112198,
0.0030102268792688847,
0.007889371365308762,
0.022078625857830048,
0.03344454616308212,
-0.008658711798489094,
0.002845108974725008,
0.038815416395664215,
0.04125408083200455,
-0.012621541507542133,
-0.024139879271388054,
0.007319623604416847,
0.00030165776843205094,
-0.0551602765917778,
0.031383294612169266,
0.030860722064971924,
0.018275469541549683,
-0.001357233035378158,
-0.06561169773340225,
0.020743167027831078,
0.058527953922748566,
-0.018115796148777008,
0.0028723261784762144,
-0.010415131226181984,
-0.02193346805870533,
-0.031296197324991226,
0.0029376475140452385,
-0.02464793436229229,
-0.03434452787041664,
0.006267223507165909,
0.050253912806510925,
0.04630560055375099,
-0.04903458058834076,
-0.0034819922875612974,
-0.008346620947122574,
-0.035041291266679764,
0.040325064212083817,
0.058527953922748566,
0.02429955266416073,
-0.03811865299940109,
0.009304667823016644,
-0.01850772462785244,
0.030512342229485512,
0.043489523231983185,
-0.026360806077718735,
0.003226150292903185,
0.047670092433691025,
-0.034954193979501724,
-0.055537689477205276,
0.028393026441335678,
0.011852201074361801,
-0.02014801651239395,
0.028218835592269897,
0.01842062920331955,
-0.04711848869919777,
0.009638532064855099,
0.003930169623345137,
0.005820860620588064,
0.04296695068478584,
-0.02900269255042076,
0.03817671537399292,
-0.0076788910664618015,
0.040557317435741425,
-0.030802659690380096,
-0.007054708898067474,
0.012708636932075024,
-0.052605483680963516,
-0.023283442482352257,
-0.0773405134677887,
0.005614009685814381,
0.030222024768590927,
-0.024488259106874466,
0.03199296072125435,
-0.047931376844644547,
0.037218671292066574,
0.01949480175971985,
-0.021817339584231377,
0.027884971350431442,
0.016765819862484932,
0.00938450451940298,
0.02059800736606121,
-0.027826907113194466,
0.01052400004118681,
-0.011003023013472557,
0.016170669347047806,
-0.02335602231323719,
-0.03701544925570488,
0.013187660835683346,
0.0760631188750267,
-0.031383294612169266,
0.00021921219013165683,
-0.029786549508571625,
0.04317017272114754,
-0.03149941936135292,
-0.017869025468826294,
0.017694836482405663,
-0.0009970582323148847,
-0.032370373606681824,
0.09324989467859268,
0.009602243080735207,
0.06067630276083946,
-0.03811865299940109,
-0.05060229450464249,
-0.015386813320219517,
0.014276349917054176,
-0.032457467168569565,
0.01953835040330887,
-0.02393665723502636,
0.002473139902576804,
-0.0173464547842741,
0.022906029596924782,
-0.008477263152599335,
0.020627040416002274,
0.0058099739253520966,
-0.020075436681509018,
-0.0182028915733099,
-0.01624324917793274,
0.008622421883046627,
0.02766723372042179,
-0.03202199190855026,
0.020481880754232407,
-0.044157251715660095,
0.022876998409628868,
0.021381864324212074,
-0.022876998409628868,
0.004753944929689169,
0.0014760816702619195,
-0.04735074192285538,
-0.015735194087028503,
-0.0009353658533655107,
0.07612118124961853,
0.07588892430067062,
-0.047408804297447205,
0.011903006583452225,
0.013644910417497158,
-0.008092593401670456,
-0.001105927280150354,
-0.009703854098916054,
0.034228403121232986,
0.02807367779314518,
0.01859482005238533,
-0.054086100310087204,
0.006807939149439335,
0.01570616289973259,
-0.0007784130866639316,
-0.008535326458513737,
0.017477096989750862,
-0.036812227219343185,
0.020699618384242058,
-0.05182162672281265,
0.018043216317892075,
-0.045260459184646606,
0.03927992284297943,
-0.004699510522186756,
-0.008419199846684933,
-0.013993291184306145,
0.03478000685572624,
-0.009667564183473587,
-0.0013073348673060536,
0.026505963876843452,
0.028843017295002937,
0.004028151743113995,
0.019509319216012955,
-0.010698189958930016,
0.043663714081048965,
0.0309187863022089,
-0.004093472845852375,
0.003650739323347807,
0.018972231075167656,
-0.02744949422776699,
-0.02376246638596058,
0.015067464672029018,
0.008027271367609501,
-0.050834547728300095,
0.013630394823849201,
-0.020888324826955795,
-0.01904481090605259,
0.03385099023580551,
0.023820528760552406,
0.026680154725909233,
-0.002502171788364649,
0.03745092451572418,
0.0266075748950243,
-0.010371583513915539,
-0.02998977154493332,
-0.033473577350378036,
0.020409302785992622,
0.017723867669701576,
-0.0018190189730376005,
0.016780337318778038,
0.011003023013472557,
0.022746356204152107,
0.021251222118735313,
0.019828667864203453,
-0.002926760585978627,
0.03634771704673767,
-0.0022554020397365093,
0.027957549318671227,
-0.026447899639606476,
0.013376366347074509,
0.054434482008218765,
-0.02486567199230194,
-0.03614449501037598,
0.005011601373553276,
0.017825478687882423,
-0.05521833896636963,
0.03875735029578209,
0.035389672964811325,
0.012577994726598263,
-0.014276349917054176,
-0.04317017272114754,
0.016983559355139732,
0.0010351623641327024,
-0.00022715056547895074,
-0.06050211191177368,
0.01775289885699749,
0.012244129553437233,
0.027260789647698402,
0.017273874953389168,
0.057598941028118134,
0.06805036216974258,
-0.00728696258738637,
0.04987649992108345,
0.031296197324991226,
0.0032515530474483967,
-0.04084763675928116,
-0.04787331447005272,
-0.05002165958285332,
-0.026041455566883087,
-0.016838399693369865,
-0.0042241159826517105,
0.04087666794657707,
-0.021875403821468353,
-0.031876832246780396,
-0.017201296985149384,
-0.04026700183749199,
-0.03239940479397774,
0.010698189958930016,
0.044563695788383484,
-0.003050145460292697,
0.0501958504319191,
0.014406993053853512,
0.0018162971828132868,
-0.023689886555075645,
0.013652168214321136,
-0.010944959707558155,
-0.018986746668815613,
-0.019291579723358154,
-0.0379154309630394,
0.011467531323432922,
-0.014399735257029533,
0.01904481090605259,
0.013100565411150455,
-0.004452740773558617,
-0.014370703138411045,
-0.01234574057161808,
-0.014936821535229683,
-0.009529663249850273,
0.00413702055811882,
-0.04270566627383232,
0.032109085470438004,
-0.010328035801649094,
0.006434155628085136,
0.01717226393520832,
-0.0013880792539566755,
0.03611546382308006,
0.013920711353421211,
-0.025693075731396675,
-0.005621267482638359,
-0.03385099023580551,
-0.029844611883163452,
0.038060590624809265,
0.02233991213142872,
-0.0017999669071286917,
-0.03266068920493126,
-0.06694715470075607,
-0.03399614989757538,
-0.002026777248829603,
-0.02232539653778076,
0.002064881380647421,
0.021280253306031227,
-0.012229613959789276,
-0.06805036216974258,
0.007043822202831507,
-0.014312639832496643,
-0.04485401511192322,
0.022223785519599915,
0.04737977311015129,
0.037712208926677704,
-0.001579507254064083,
-0.0038648482877761126,
0.026593059301376343,
0.03515741601586342,
-0.008629679679870605,
-0.0042241159826517105,
0.04810556769371033,
0.006967613939195871,
-0.02736240066587925,
0.02647693268954754,
0.026317257434129715,
0.04970231279730797,
0.03332841768860817,
0.007025677245110273,
-0.00010234816727461293,
-0.01900126412510872,
-0.017288392409682274,
0.06892131268978119,
0.01646098680794239,
0.03631868585944176,
0.01891416870057583,
0.004514432977885008,
0.04470885545015335,
0.011823169887065887,
-0.010182877071201801,
0.015299718827009201,
-0.017143232747912407,
-0.03861219435930252,
-0.008876449428498745,
-0.04343145713210106,
-0.05010875687003136,
-0.004158794414252043,
-0.025286631658673286,
-0.007384944707155228,
0.03634771704673767,
-0.0445927269756794,
0.0461023785173893,
0.011830427683889866,
-0.006445042788982391,
-0.023167315870523453,
-0.008789354003965855,
-0.008099851198494434,
0.05820860713720322,
0.01672227308154106,
0.028843017295002937,
-0.0827404111623764,
0.01592390052974224,
0.006826084107160568,
0.02380601316690445,
0.00005953771324129775,
0.017636772245168686,
0.04311211034655571,
-0.034983228892087936,
0.025344694033265114,
-0.003547313855960965,
0.022833451628684998,
-0.0169109795242548,
-0.03483806923031807,
0.034286465495824814,
-0.01090141199529171,
-0.021425412967801094,
-0.023385053500533104,
0.00954417884349823,
0.009609500877559185,
-0.01592390052974224,
-0.013565072789788246,
-0.014196513220667839,
0.025504369288682938,
0.013935227878391743,
0.024343101307749748,
-0.008557100780308247,
-0.00626359460875392,
-0.026796281337738037,
0.03260262683033943,
0.058353766798973083,
-0.01667872630059719,
-0.008353878743946552,
-0.02064155600965023,
-0.0010070379357784986,
-0.035709019750356674,
0.004412821959704161,
0.011024797335267067,
-0.03861219435930252,
-0.002199153183028102,
-0.02113509550690651,
-0.009123219177126884,
0.0016266837483271956,
-0.006945840083062649,
-0.0010487710824236274,
0.012577994726598263,
0.04354758560657501,
-0.0023515697102993727,
0.006622862070798874,
-0.03475097194314003,
0.05289579927921295,
0.007043822202831507,
-0.00954417884349823,
-0.028901081532239914,
-0.044999171048402786,
0.002607411704957485,
-0.020975420251488686,
-0.013913453556597233,
0.04110892117023468,
-0.03147038817405701,
-0.007903886958956718,
-0.028668826445937157,
0.007925660349428654,
-0.00533820828422904,
-0.016446471214294434,
-0.016272280365228653,
0.002482212381437421,
0.02096090465784073,
0.028015613555908203,
0.049760375171899796,
-0.01116995606571436,
0.030715564265847206,
0.03016396053135395,
-0.05103776976466179,
0.04871523380279541,
-0.026012424379587173,
-0.007932918146252632,
0.035215482115745544,
-0.02158508636057377,
0.028218835592269897,
-0.022804418578743935,
-0.013732005842030048,
-0.045318521559238434,
-0.031876832246780396,
0.016301313415169716,
-0.015415845438838005,
-0.017056137323379517,
0.05446351319551468,
-0.05788925662636757,
0.019901245832443237,
0.006510363891720772,
0.021425412967801094,
-0.004634188953787088,
-0.010719964280724525,
0.0033386482391506433,
-0.05312805622816086,
0.03544773533940315,
-0.016940010711550713,
-0.022397974506020546,
0.003748721443116665,
-0.023370537906885147,
-0.033792927861213684,
0.00876758061349392,
0.03283488005399704,
0.018536755815148354,
-0.029162365943193436,
0.02981558069586754,
-0.01503843255341053,
0.005091438535600901,
0.0409347303211689,
-0.04058634862303734,
-0.01824643835425377,
-0.00812162458896637,
-0.011097376234829426,
-0.028465604409575462,
0.05289579927921295,
-0.013565072789788246,
-0.08982415497303009,
-0.025881782174110413,
0.01212074514478445,
-0.01753516122698784,
-0.014211028814315796,
0.09098542481660843,
-0.05269257724285126,
-0.029351072385907173,
0.014733599498867989,
-0.04250244423747063,
0.019901245832443237,
-0.006691812537610531,
0.01725935935974121,
0.00017169542843475938,
-0.029844611883163452,
0.02798658236861229,
0.03074459545314312,
-0.026839828118681908,
-0.025562433525919914,
0.047989439219236374,
-0.03411227464675903,
0.04755396395921707,
0.012222356162965298,
-0.02740594744682312,
0.011932038702070713,
0.026302741840481758,
-0.0043801614083349705,
-0.03573805093765259,
0.01975608803331852,
-0.031789738684892654,
0.0023116511292755604,
-0.012853795662522316,
-0.04467982426285744,
-0.0199302788823843,
-0.06805036216974258,
0.019422223791480064,
-0.04729267954826355,
-0.010357067920267582,
-0.056350577622652054,
-0.006368834525346756,
-0.012367513962090015,
0.0189577154815197,
0.01680936850607395,
-0.0222963634878397,
-0.020365754142403603,
-0.00923208799213171,
0.02566404454410076,
0.0070982566103339195,
-0.030541373416781425,
-0.05588606745004654,
-0.0389896035194397,
0.011402209289371967,
0.007424863521009684,
-0.023617306724190712,
-0.012875569984316826,
0.026215646415948868,
0.0229495782405138,
0.0627085268497467,
-0.01805773191154003,
-0.008898223750293255,
-0.0009063341422006488,
0.01107560284435749,
0.08964996039867401,
-0.03602837026119232,
0.012802990153431892,
-0.010494967922568321,
0.028276899829506874,
-0.004405564162880182,
0.03820575028657913,
0.012962664477527142,
-0.028015613555908203,
-0.016315829008817673,
-0.020046405494213104,
0.06590200960636139,
-0.0016058172332122922,
-0.02398020401597023,
-0.007083740551024675,
0.025707591325044632,
-0.0074103474617004395,
-0.03451871871948242,
-0.06468267738819122,
-0.03364776819944382,
-0.05347643420100212,
-0.05205387994647026,
0.02772529609501362,
-0.005294660571962595,
0.021947983652353287,
-0.026897892355918884,
0.0029449055436998606,
-0.0011367733823135495,
-0.061953697353601456,
0.060269858688116074,
0.0773405134677887,
0.007453895173966885,
-0.009297410026192665,
0.00206851027905941,
0.03762511536478996,
0.00843371544033289,
0.0036906579043716192,
-0.016519051045179367,
0.01592390052974224,
-0.012331224977970123,
-0.02589629776775837,
-0.02077219821512699,
-0.01943673938512802,
-0.03277681767940521,
0.023196347057819366,
0.01801418513059616,
0.015807773917913437,
0.03800252825021744,
0.01859482005238533,
-0.029786549508571625,
-0.003122724825516343,
0.033560674637556076,
-0.02634628862142563,
0.009050640277564526,
0.01744806580245495,
-0.004144278354942799,
-0.05806344747543335,
-0.004550722893327475,
-0.04247341305017471,
-0.04279275983572006,
-0.016881948336958885,
0.04122504964470863,
0.021062515676021576,
-0.036289654672145844,
0.043141141533851624,
-0.0050624068826437,
-0.040325064212083817,
-0.019654477015137672,
0.02535921148955822,
-0.0055994936265051365,
-0.012440093792974949,
0.003402155125513673,
-0.025243083015084267,
0.04409918934106827,
-0.002935833064839244,
-0.04418628290295601,
-0.01472634170204401,
0.010509484447538853,
0.0036289654672145844,
-0.0030846206936985254,
0.01426183432340622,
-0.007087369449436665,
-0.042908888310194016,
0.026636606082320213,
-0.013064275495707989,
-0.014980369247496128,
0.01107560284435749,
0.04935393109917641,
0.008738548494875431,
-0.00039102102164179087,
0.04070247709751129,
-0.01169978454709053,
-0.0131441131234169,
-0.024139879271388054,
0.026360806077718735,
-0.008956287056207657,
-0.020568976178765297,
-0.03750898689031601,
0.031963929533958435,
0.025388242676854134,
-0.01775289885699749,
-0.011511078104376793,
-0.0009997800225391984,
0.04171858727931976,
0.028930112719535828,
0.021033484488725662,
-0.03239940479397774,
0.038902509957551956,
0.04830878973007202,
0.004158794414252043,
-0.008949029259383678,
-0.012621541507542133,
-0.06253433227539062,
-0.019335128366947174,
-0.0012392917415127158,
-0.05806344747543335,
0.00971836969256401,
0.04560883715748787,
-0.003057403489947319,
-0.022586680948734283,
-0.03907670080661774,
0.017680319026112556,
0.017419034615159035,
-0.0022826192434877157,
-0.01292637549340725,
0.04488304629921913,
-0.027072083204984665,
-0.06433430314064026,
-0.018348049372434616,
-0.018623851239681244,
-0.04729267954826355,
0.03643481433391571,
-0.06346334517002106,
-0.017477096989750862,
0.035534828901290894,
0.02509792521595955,
-0.005345466081053019,
0.03135426342487335,
-0.028596248477697372,
-0.01281750574707985,
-0.0055994936265051365,
0.05280870571732521,
0.010814317502081394,
0.024662449955940247,
0.0033386482391506433,
-0.009217572398483753,
0.002571122022345662,
0.047263648360967636,
-0.02188991941511631,
-0.06752779334783554,
0.03733479604125023,
0.014232802204787731,
-0.04520239308476448,
-0.030105898156762123,
-0.02014801651239395,
0.023326989263296127,
-0.036957383155822754,
-0.018086763098835945,
-0.03364776819944382,
0.023385053500533104,
0.05356353148818016,
0.043983060866594315,
-0.007399460766464472,
0.05402803793549538,
0.01779644750058651,
-0.020714135840535164,
0.003445702837780118,
-0.004405564162880182,
0.0027217241004109383,
0.005254742223769426,
0.04822169244289398,
-0.030686533078551292,
-0.02210765704512596,
-0.04099279269576073,
-0.017694836482405663,
0.02878495492041111,
-0.017491614446043968,
0.04102182760834694,
0.0001403955975547433,
0.02874140627682209,
-0.010400614701211452,
-0.008332104422152042,
0.008528068661689758,
0.02848012186586857,
0.06630845367908478,
-0.0428798571228981,
0.010560289956629276,
-0.028930112719535828,
-0.052257101982831955,
-0.026447899639606476,
-0.06654071062803268,
-0.04888942465186119,
0.017680319026112556,
-0.016838399693369865,
-0.010320778004825115,
-0.030396215617656708,
-0.025039860978722572,
0.019451254978775978,
-0.03268972039222717,
0.029031723737716675,
-0.028044644743204117,
-0.02104800008237362,
-0.017056137323379517,
0.01596744731068611,
-0.05144421383738518,
-0.03509935364127159,
0.0022263703867793083,
-0.03957023844122887,
-0.03849606588482857,
-0.02816077135503292,
0.02447374351322651,
-0.014530377462506294,
0.0551602765917778,
-0.030802659690380096,
-0.031383294612169266,
-0.03983152657747269,
-0.007903886958956718,
0.05574091151356697,
-0.014762631617486477,
-0.037479955703020096,
-0.04729267954826355,
-0.015502940863370895,
-0.03951217606663704,
-0.04343145713210106,
-0.03745092451572418,
0.026259195059537888,
0.004459998570382595,
-0.03925089165568352,
-0.0009970582323148847,
0.03158651664853096,
0.07554054260253906,
-0.002208225429058075,
0.038147684186697006,
0.020409302785992622,
0.02785593830049038,
-0.006408752873539925,
0.00028260567341931164,
0.06218595430254936,
0.01917545311152935,
0.036812227219343185,
-0.003197118639945984,
-0.019901245832443237,
-0.0013218506937846541,
0.04346049204468727,
0.02148347534239292,
-0.04970231279730797,
-0.02143992856144905,
0.0006881426088511944,
-0.015691647306084633,
0.017375485971570015,
-0.00939176231622696,
-0.0012810247717425227,
0.0186383668333292,
-0.001487875822931528,
0.009645789861679077,
0.020583491772413254,
0.02139637991786003,
0.007167206611484289,
-0.0007516494952142239,
0.03292197361588478,
-0.04453466460108757,
0.00898531824350357,
0.051008738577365875,
0.019944794476032257,
0.01156914234161377,
0.029263976961374283,
-0.030105898156762123,
0.02580920234322548,
0.08883707225322723,
-0.03341551497578621,
0.031034912914037704,
0.06253433227539062,
-0.046653978526592255,
-0.027914002537727356,
-0.020089952275156975,
0.02843657322227955,
0.0016847471706569195,
0.03271875157952309,
0.01783999428153038,
-0.03585417941212654,
-0.030309120193123817,
0.015183591283857822,
-0.043663714081048965,
0.0046777366660535336,
0.032051023095846176,
0.0428798571228981,
-0.00987804401665926,
-0.03733479604125023,
0.03411227464675903,
-0.04099279269576073,
0.035041291266679764,
0.055276401340961456,
-0.004978940822184086,
0.02113509550690651,
0.04462175816297531,
0.0043801614083349705,
0.03556386008858681,
0.03350260853767395,
0.01619970239698887,
-0.025039860978722572,
0.02149799093604088,
0.035883210599422455,
0.021106062456965446,
0.023631824180483818,
-0.012911858968436718,
-0.04685720056295395,
-0.02861076407134533,
-0.008317588828504086,
0.015996480360627174,
-0.02081574685871601,
0.01570616289973259,
-0.027420463040471077,
-0.013064275495707989,
0.04639269411563873,
-0.026302741840481758,
-0.020743167027831078,
-0.0034765489399433136,
0.0148134371265769,
0.041892778128385544,
0.018348049372434616,
-0.003080991795286536,
0.011097376234829426,
-0.01952383480966091,
0.01962544582784176,
-0.013826358132064342,
-0.025605980306863785,
-0.019552865996956825,
0.00065230653854087,
0.04735074192285538,
-0.030628468841314316,
-0.030280087143182755,
0.04488304629921913,
-0.04813459888100624,
-0.028813986107707024,
0.02834947779774666,
-0.007011161185801029,
-0.05478286370635033,
0.004010006785392761,
-0.025910813361406326,
0.012628800235688686,
-0.0015849507180973887,
-0.04253147542476654,
-0.03083169087767601,
0.02718820981681347,
0.035476766526699066,
-0.004445482511073351,
0.03057040460407734,
0.004362016450613737,
0.012251387350261211,
-0.0019324241438880563,
-0.005389013793319464,
0.011736074462532997,
0.006506734993308783,
-0.010712706483900547,
-0.04151536524295807,
-0.004147907719016075,
0.0013027986278757453,
-0.06717941164970398,
0.04421531409025192,
0.03991862013936043,
-0.017593225464224815,
-0.0021193157881498337,
-0.06427623331546783,
-0.010415131226181984,
-0.065495565533638,
0.03550579771399498,
0.014283607713878155,
0.033125195652246475,
-0.0008940863772295415,
-0.024096330627799034,
0.05600219592452049,
-0.035215482115745544,
0.2499050796031952,
0.08384361863136292,
0.027217241004109383,
0.004964424762874842,
0.03208005428314209,
0.05597316473722458,
0.011866717599332333,
-0.013419914059340954,
-0.015169075690209866,
0.027217241004109383,
0.026926923543214798,
0.024851156398653984,
0.04592818766832352,
0.008716775104403496,
-0.00010472967551322654,
0.022035079076886177,
-0.05280870571732521,
0.005614009685814381,
-0.043489523231983185,
-0.018231922760605812,
-0.03710254281759262,
0.01537229772657156,
0.015140043571591377,
-0.04595721885561943,
-0.01234574057161808,
0.015386813320219517,
0.004151536617428064,
-0.011953812092542648,
-0.015938416123390198,
-0.010357067920267582,
0.0071272882632911205,
-0.006706328131258488,
0.04299598187208176,
-0.030280087143182755,
-0.006045856513082981,
0.012215097434818745,
0.031209103763103485,
-0.010640126653015614,
0.0015940230805426836,
-0.013536041602492332,
-0.022615712136030197,
-0.03750898689031601,
-0.011119150556623936,
-0.06056017428636551,
0.025388242676854134,
0.03248649835586548,
-0.047757185995578766,
0.06050211191177368,
0.04392499849200249,
-0.02415439486503601,
0.04862813651561737,
-0.03927992284297943,
-0.030860722064971924,
-0.014436025172472,
-0.024372132495045662,
-0.043489523231983185,
0.03283488005399704,
-0.034547749906778336,
-0.000019945135136367753,
0.019770603626966476,
0.035476766526699066,
-0.01105382852256298,
0.0037995269522070885,
0.028639795258641243,
-0.012084455229341984,
0.020888324826955795,
0.0000502101393067278,
0.0450282022356987,
-0.019407708197832108,
-0.02309473603963852,
-0.013129597529768944,
-0.05997954308986664,
0.0077950176782906055,
-0.04563786834478378,
0.04485401511192322,
-0.014936821535229683,
-0.02593984454870224,
0.009377246722579002,
0.015227138996124268,
-0.04418628290295601,
0.005156760104000568,
-0.005566833075135946,
-0.017636772245168686,
-0.0028777695260941982,
0.06056017428636551,
0.02081574685871601,
-0.00453983573243022,
-0.010785285383462906,
-0.052605483680963516,
0.025039860978722572,
0.027347883209586143,
-0.0041551655158400536,
0.0063615767285227776,
-0.031789738684892654,
-0.022310879081487656
] |
1207_14 | Non-protein functions
In humans, non-protein amino acids also have important roles as metabolic intermediates, such as in the biosynthesis of the neurotransmitter gamma-aminobutyric acid (GABA). Many amino acids are used to synthesize other molecules, for example:
Tryptophan is a precursor of the neurotransmitter serotonin.
Tyrosine (and its precursor phenylalanine) are precursors of the catecholamine neurotransmitters dopamine, epinephrine and norepinephrine and various trace amines.
Phenylalanine is a precursor of phenethylamine and tyrosine in humans. In plants, it is a precursor of various phenylpropanoids, which are important in plant metabolism.
Glycine is a precursor of porphyrins such as heme.
Arginine is a precursor of nitric oxide.
Ornithine and S-adenosylmethionine are precursors of polyamines.
Aspartate, glycine, and glutamine are precursors of nucleotides. However, not all of the functions of other abundant nonstandard amino acids are known.
Some nonstandard amino acids are used as defenses against herbivores in plants. For example, canavanine is an analogue of arginine that is found in many legumes, and in particularly large amounts in Canavalia gladiata (sword bean). This amino acid protects the plants from predators such as insects and can cause illness in people if some types of legumes are eaten without processing. The non-protein amino acid mimosine is found in other species of legume, in particular Leucaena leucocephala. This compound is an analogue of tyrosine and can poison animals that graze on these plants. | [
-0.03167496621608734,
0.0007762265740893781,
0.018045729026198387,
0.006723194848746061,
-0.04534640163183212,
0.004701313562691212,
0.029790222644805908,
0.01189217809587717,
0.008762657642364502,
0.03859507665038109,
0.014227011241018772,
-0.05789261311292648,
-0.01891777664422989,
-0.032912712544202805,
-0.017736293375492096,
-0.01872086152434349,
-0.04118308424949646,
-0.05676739290356636,
0.004680215381085873,
-0.010295771062374115,
0.019297538325190544,
-0.002974802628159523,
-0.04180195555090904,
0.03305336460471153,
-0.0004698676348198205,
0.017595641314983368,
0.03060600720345974,
-0.005207662936300039,
0.025739427655935287,
0.03758237883448601,
-0.0059601543471217155,
-0.014051196165382862,
0.0065544117242097855,
-0.0670069009065628,
-0.022180916741490364,
-0.0020289139356464148,
0.014001967385411263,
-0.03606332838535309,
0.0007858964381739497,
-0.012658734805881977,
0.04143625870347023,
-0.012630604207515717,
0.019213145598769188,
0.005692914593964815,
-0.03440362960100174,
-0.0024930674117058516,
0.00694472249597311,
-0.0018530981615185738,
-0.0007757870480418205,
0.026906844228506088,
-0.014037130400538445,
0.002575700869783759,
0.04244895651936531,
0.07049509137868881,
-0.05575469508767128,
-0.04236456751823425,
0.04205513000488281,
-0.04863767325878143,
-0.008115655742585659,
0.026372363790869713,
0.0010188523447141051,
0.008361797779798508,
0.002841182751581073,
-0.046527884900569916,
0.019114689901471138,
0.04838449880480766,
-0.04205513000488281,
-0.011751525104045868,
-0.01907249353826046,
-0.026020733639597893,
-0.025880079716444016,
0.02692090906202793,
0.001242138328962028,
-0.01130846980959177,
-0.002422741148620844,
0.02306702733039856,
0.04830010607838631,
-0.043630439788103104,
-0.003678065724670887,
0.01305256225168705,
0.0014742151834070683,
0.04841262847185135,
0.03218131884932518,
0.05828644335269928,
-0.046162188053131104,
0.0013986143749207258,
-0.04664040356874466,
0.0022891212720423937,
0.02595040574669838,
0.0015366297448053956,
-0.003583125304430723,
0.052491553127765656,
-0.0333065390586853,
-0.03282831981778145,
0.03626024350523949,
0.016371963545680046,
-0.01679392158985138,
0.04585275053977966,
0.012665767222642899,
-0.02039462886750698,
0.015260808169841766,
-0.03223757818341255,
-0.01365736871957779,
0.040198516100645065,
-0.047484319657087326,
0.028510283678770065,
0.02119634859263897,
0.03929834067821503,
-0.04199887067079544,
-0.05364490672945976,
0.0006346948794089258,
-0.02555657923221588,
-0.016076592728495598,
-0.06863847374916077,
0.01072476152330637,
0.056429825723171234,
-0.046274710446596146,
0.025767557322978973,
-0.06886351853609085,
0.02265913598239422,
0.017736293375492096,
-0.030887313187122345,
0.05519208312034607,
-0.01211722195148468,
0.04371483251452446,
0.010316869243979454,
-0.025866014882922173,
-0.007299870252609253,
-0.04132373631000519,
0.03381288796663284,
-0.017342466861009598,
-0.02301076613366604,
0.026541147381067276,
0.06717568635940552,
-0.036203980445861816,
-0.005735110025852919,
-0.017820686101913452,
0.04112682491540909,
-0.03322214633226395,
-0.03983281925320625,
0.012286005541682243,
0.0340941920876503,
-0.017229944467544556,
0.10588328540325165,
0.0009010557550936937,
0.00008340259955730289,
-0.014613806270062923,
-0.03505063056945801,
-0.004673182964324951,
0.010816185735166073,
-0.03668219968676567,
0.0005296450108289719,
-0.036147721111774445,
0.003073259489610791,
-0.028665002435445786,
0.0030943574383854866,
-0.0011586258187890053,
-0.0019058429170399904,
0.02879158966243267,
0.0051478855311870575,
-0.004701313562691212,
-0.002479002345353365,
0.015654634684324265,
0.007356131449341774,
-0.027807021513581276,
0.012018765322864056,
-0.04568396881222725,
-0.01831297017633915,
0.01196953747421503,
-0.01132956799119711,
-0.01876305788755417,
0.010633337311446667,
-0.050775591284036636,
0.026344234123826027,
0.012103157117962837,
0.05136633291840553,
0.09119915217161179,
-0.03656967729330063,
0.027103757485747337,
-0.0009309444576501846,
0.004975586198270321,
0.001956829335540533,
0.0076093063689768314,
0.038229379802942276,
0.02160423994064331,
0.0059953173622488976,
-0.03527567535638809,
-0.023685898631811142,
0.01679392158985138,
0.008312568999826908,
0.020605606958270073,
0.02514868602156639,
-0.02353118173778057,
0.017215879634022713,
-0.05758317932486534,
0.007595241069793701,
-0.029312003403902054,
0.044755659997463226,
0.002533505205065012,
-0.059974271804094315,
-0.017328402027487755,
0.027989869937300682,
-0.007468653377145529,
-0.012377429753541946,
0.0368228517472744,
0.009662833996117115,
0.00638562859967351,
0.04379922151565552,
0.015907811000943184,
0.04275839403271675,
0.038229379802942276,
-0.012208646163344383,
-0.002964253770187497,
0.0015067410422489047,
-0.006920108571648598,
0.0063645304180681705,
-0.0023963688872754574,
0.017187748104333878,
-0.052941642701625824,
0.01659700833261013,
-0.0086220046505332,
-0.020605606958270073,
-0.02002893202006817,
0.02053528092801571,
-0.005341283045709133,
-0.005161950830370188,
0.016582943499088287,
-0.0015120155876502395,
0.0004962399834766984,
0.014993567951023579,
0.011034197174012661,
0.0021291289012879133,
-0.010323901660740376,
0.017440924420952797,
0.024712663143873215,
-0.0055557782761752605,
-0.009993367828428745,
-0.008614972233772278,
0.03223757818341255,
-0.002199455164372921,
0.020225845277309418,
-0.012039863504469395,
0.01699083484709263,
0.020872848108410835,
0.018200447782874107,
-0.0004206392040941864,
-0.030943574383854866,
-0.013671433553099632,
-0.02039462886750698,
0.05119755119085312,
-0.07915928959846497,
0.03308149427175522,
0.037666767835617065,
0.017089292407035828,
0.026583343744277954,
-0.024698598310351372,
0.019058428704738617,
-0.014339533634483814,
-0.024346966296434402,
-0.05285724997520447,
0.008586841635406017,
0.032856449484825134,
-0.0037132289726287127,
0.03499436751008034,
0.07842789590358734,
0.04000160098075867,
-0.006621221546083689,
0.0594116635620594,
0.020253974944353104,
-0.009402627125382423,
-0.08236616849899292,
-0.0236718337982893,
-0.02793360874056816,
-0.01102716475725174,
-0.011702297255396843,
-0.02039462886750698,
0.02848215401172638,
-0.03282831981778145,
0.001156867714598775,
0.010893544182181358,
-0.03654154762625694,
-0.02635829895734787,
-0.03820125013589859,
0.052688468247652054,
0.01765190251171589,
0.032350100576877594,
0.0008364435052499175,
0.01654074713587761,
-0.034178584814071655,
0.0008096316014416516,
-0.007827317342162132,
0.006462987512350082,
-0.03957964479923248,
-0.045655835419893265,
0.042927175760269165,
0.04042356088757515,
0.013087725266814232,
-0.0022047297097742558,
0.0007371075917035341,
-0.004068376962095499,
-0.04956597834825516,
0.0012729060836136341,
-0.03465680405497551,
-0.04017038643360138,
-0.028046131134033203,
0.023235810920596123,
0.016568876802921295,
-0.0018741959938779473,
0.01421294640749693,
-0.0044833021238446236,
0.01760970614850521,
0.013537813909351826,
-0.0236718337982893,
0.011547579430043697,
-0.03226570785045624,
-0.0015805837465450168,
0.04484005272388458,
0.020211780443787575,
0.004107056185603142,
-0.052800990641117096,
-0.03825750946998596,
-0.04543079435825348,
-0.029424525797367096,
0.002756791189312935,
-0.01978982239961624,
0.03555697947740555,
-0.03825750946998596,
-0.05778009071946144,
0.02919948101043701,
-0.010302803479135036,
-0.007799187209457159,
0.025134621188044548,
0.008586841635406017,
0.030184049159288406,
-0.005798403639346361,
0.006730227265506983,
0.020830651745200157,
0.020633738487958908,
0.011463187634944916,
-0.004683732055127621,
0.014459088444709778,
-0.009381528943777084,
0.012060961686074734,
0.04281465336680412,
0.03834190219640732,
0.058511484414339066,
0.03479745611548424,
0.01006369385868311,
0.023052962496876717,
-0.03966403752565384,
-0.004989651497453451,
0.006825167685747147,
-0.007313935551792383,
0.007890610955655575,
0.011765590868890285,
0.016878312453627586,
0.011498350650072098,
0.014895111322402954,
-0.01016918383538723,
0.017595641314983368,
-0.015134220942854881,
0.0006250250153243542,
-0.016934573650360107,
-0.0664442926645279,
-0.024825185537338257,
-0.012707963585853577,
-0.024065662175416946,
-0.014367664232850075,
0.034684933722019196,
-0.02797580324113369,
0.05536086857318878,
-0.004163317382335663,
0.0006197505863383412,
-0.011097490787506104,
-0.014557545073330402,
0.020830651745200157,
0.030015267431735992,
0.0167517252266407,
0.04199887067079544,
-0.055670302361249924,
0.028397761285305023,
-0.006199263967573643,
0.02175895869731903,
0.013242443092167377,
0.00605861097574234,
0.023742159828543663,
-0.033109623938798904,
0.03699163720011711,
0.0014065260766074061,
0.022785723209381104,
-0.005144369322806597,
-0.04739993065595627,
0.027455389499664307,
0.031956274062395096,
-0.03724481165409088,
-0.004750541877001524,
-0.0005037121591158211,
0.014142620377242565,
0.002108030952513218,
-0.0009669866994954646,
-0.026091059669852257,
-0.014058228582143784,
0.01156164426356554,
0.02195587195456028,
0.004771639592945576,
-0.02706156298518181,
-0.020479019731283188,
0.0005041516851633787,
0.05868026986718178,
-0.00011191771773155779,
-0.0011278580641373992,
0.01368549931794405,
-0.013045529834926128,
-0.019564777612686157,
0.0035725762136280537,
0.005116238724440336,
-0.03274392709136009,
-0.025134621188044548,
0.01530300360172987,
-0.017623772844672203,
-0.012489952147006989,
0.015007633715867996,
-0.002526472555473447,
0.02716001868247986,
0.05139446258544922,
-0.010014466010034084,
0.05271659791469574,
-0.027750760316848755,
0.040592342615127563,
0.024853317067027092,
0.0025528448168188334,
-0.0192834734916687,
-0.017680032178759575,
0.025978537276387215,
-0.025204947218298912,
0.014234043657779694,
0.06408132612705231,
-0.06948238611221313,
0.0030820502433925867,
-0.029733961448073387,
0.0027532747481018305,
0.015542113222181797,
0.013502650894224644,
-0.010710696689784527,
0.00434968201443553,
0.003284238511696458,
0.030493486672639847,
0.03364410251379013,
-0.015964070335030556,
0.03375662490725517,
0.02292637526988983,
-0.04993167519569397,
0.031196748837828636,
-0.06064940616488457,
0.02398126944899559,
0.014318435452878475,
-0.02519088238477707,
0.0010970903094857931,
0.0020095740910619497,
0.007454588543623686,
-0.021632371470332146,
-0.037469856441020966,
-0.0017915626522153616,
0.026316102594137192,
0.0021238543558865786,
0.030493486672639847,
-0.06509403139352798,
-0.005218212027102709,
0.009634703397750854,
0.028341500088572502,
0.025317469611763954,
-0.00019801250891759992,
-0.0002002101973630488,
-0.053251076489686966,
0.02023991011083126,
-0.010323901660740376,
-0.013516715727746487,
-0.01952258311212063,
-0.02919948101043701,
-0.03322214633226395,
-0.0033651136327534914,
-0.033672235906124115,
0.028763458132743835,
-0.05100063607096672,
0.037413593381643295,
-0.056486088782548904,
-0.006188714876770973,
0.025922276079654694,
-0.030240310356020927,
0.005302603356540203,
-0.023052962496876717,
0.005858181044459343,
0.009381528943777084,
0.0366259403526783,
0.008910343050956726,
-0.05516395345330238,
-0.001738817896693945,
-0.04602153226733208,
-0.018481753766536713,
0.005267440341413021,
0.0977816954255104,
-0.0492846742272377,
-0.015204546973109245,
-0.0014434474287554622,
-0.04002973437309265,
0.04492444172501564,
-0.01862240582704544,
0.008017199113965034,
-0.014656001701951027,
-0.019691364839673042,
0.012454788200557232,
0.052997902035713196,
-0.052238378673791885,
-0.00466615054756403,
0.018439557403326035,
-0.04371483251452446,
0.022138720378279686,
0.012307103723287582,
-0.02306702733039856,
-0.0006557927699759603,
0.012792354449629784,
-0.02656927891075611,
-0.024248510599136353,
0.049453455954790115,
-0.027244411408901215,
0.03274392709136009,
0.010710696689784527,
-0.07094517350196838,
0.0027831634506583214,
-0.05738626420497894,
0.00865013524889946,
-0.050409894436597824,
-0.0077007305808365345,
-0.060480620712041855,
0.0344880186021328,
-0.01831297017633915,
-0.002528230659663677,
0.015218612737953663,
-0.03530380502343178,
-0.02990274503827095,
-0.009705030359327793,
0.010070727206766605,
-0.014360631816089153,
-0.027230344712734222,
-0.014684132300317287,
-0.03054974600672722,
0.02362963929772377,
0.0180175993591547,
-0.024951772764325142,
-0.0015709138242527843,
0.022841984406113625,
0.007989068515598774,
0.0543481670320034,
-0.014058228582143784,
-0.06948238611221313,
-0.005967186763882637,
0.0033897277899086475,
0.0736457034945488,
-0.006600123830139637,
0.03308149427175522,
-0.026597408577799797,
0.021519849076867104,
-0.01640009507536888,
-0.02018364891409874,
0.03322214633226395,
0.010401260107755661,
-0.013235410675406456,
0.014051196165382862,
0.03845442458987236,
0.024304771795868874,
-0.035753894597291946,
-0.01125924102962017,
0.041914477944374084,
-0.011048262938857079,
-0.02109789103269577,
-0.035641372203826904,
-0.023559311404824257,
-0.03977655991911888,
-0.03606332838535309,
0.03280019015073776,
0.008059394545853138,
-0.030718529596924782,
0.005228760652244091,
0.00035185128217563033,
0.025739427655935287,
-0.07308309525251389,
0.04602153226733208,
0.044755659997463226,
-0.006951755378395319,
0.011906243860721588,
0.01973356120288372,
0.029621439054608345,
0.025992602109909058,
-0.028060195967555046,
-0.024375097826123238,
0.004314518999308348,
-0.023840617388486862,
-0.0086220046505332,
-0.0463590994477272,
-0.014656001701951027,
-0.029480786994099617,
0.045205749571323395,
0.027483519166707993,
0.03597893938422203,
0.022040264680981636,
0.0362321138381958,
-0.04633096978068352,
-0.004434073343873024,
0.048947107046842575,
-0.002682948485016823,
0.012651702389121056,
0.03676659241318703,
0.006005866453051567,
-0.02429070509970188,
-0.027399128302931786,
-0.04011412337422371,
-0.031900011003017426,
0.008150818757712841,
0.027131889015436172,
-0.017975402995944023,
-0.0681883841753006,
0.004789221566170454,
-0.04261774197220802,
-0.03718854859471321,
-0.03153431415557861,
-0.0069798859767615795,
-0.009050995111465454,
0.0013344415929168463,
0.031449925154447556,
-0.05353238433599472,
0.001235105679370463,
-0.008354765363037586,
-0.010464553721249104,
0.020675932988524437,
0.011217045597732067,
0.009648769162595272,
-0.03986094892024994,
-0.003370388178154826,
-0.027652302756905556,
-0.03445988893508911,
0.03578202426433563,
-0.0333065390586853,
-0.005154917947947979,
0.024656401947140694,
0.035331934690475464,
0.010506750084459782,
0.00288337841629982,
0.040451690554618835,
-0.00905802845954895,
0.011646036058664322,
0.009065060876309872,
0.03226570785045624,
-0.01835516467690468,
-0.0019181499956175685,
-0.05457321181893349,
0.032462622970342636,
0.01593594066798687,
0.0012377429520711303,
-0.010809153318405151,
-0.0034389563370496035,
0.03499436751008034,
0.043630439788103104,
0.001993750687688589,
-0.04872206225991249,
0.0397484265267849,
0.035894546657800674,
-0.007827317342162132,
-0.01912875473499298,
-0.027947673574090004,
-0.07173283398151398,
-0.008882212452590466,
-0.022856049239635468,
-0.04239269718527794,
-0.009191648103296757,
0.05043802410364151,
-0.01562650501728058,
-0.02226530760526657,
-0.02939639613032341,
0.019213145598769188,
0.017075227573513985,
-0.010176216252148151,
-0.024867381900548935,
0.025823818519711494,
-0.010373130440711975,
-0.04427744075655937,
-0.0037343266885727644,
-0.02867906726896763,
-0.034375496208667755,
0.02144952304661274,
-0.017848815768957138,
-0.019691364839673042,
0.00991600938141346,
0.03552884981036186,
0.0032508333679288626,
0.03254701569676399,
-0.04087364673614502,
-0.01444502267986536,
-0.018045729026198387,
0.03530380502343178,
0.01867866702377796,
0.06425011157989502,
-0.011744492687284946,
0.009297137148678303,
0.012271939776837826,
0.03966403752565384,
-0.020225845277309418,
-0.032040663063526154,
0.000845234259031713,
0.007433490362018347,
-0.047681234776973724,
-0.006160584278404713,
-0.04329287260770798,
0.03555697947740555,
-0.03780741989612579,
-0.051169417798519135,
-0.05406686291098595,
0.022082459181547165,
0.05004419758915901,
0.05772383138537407,
0.013263541273772717,
0.08050955086946487,
-0.018045729026198387,
-0.008643102832138538,
0.022490352392196655,
-0.0043110023252666,
0.02661147341132164,
0.01297520287334919,
0.045712098479270935,
-0.0389607734978199,
-0.027188150212168694,
-0.05035363510251045,
-0.007960937917232513,
0.004550111945718527,
-0.022237177938222885,
0.013783955946564674,
0.004321551416069269,
0.021337000653147697,
-0.016611073166131973,
-0.012489952147006989,
-0.023812487721443176,
0.024051595479249954,
0.05389808118343353,
-0.03763863816857338,
-0.0009063302422873676,
-0.031224878504872322,
-0.0027866798918694258,
-0.01589374430477619,
-0.06666933745145798,
-0.005798403639346361,
0.041211213916540146,
-0.02402346581220627,
-0.0422801747918129,
-0.02129480428993702,
-0.006533313542604446,
0.03040909394621849,
-0.0313655324280262,
0.03552884981036186,
-0.04911589249968529,
-0.03454428166151047,
-0.011906243860721588,
0.009824585169553757,
-0.05569843202829361,
-0.039438992738723755,
-0.028510283678770065,
-0.0257112979888916,
-0.02797580324113369,
-0.04199887067079544,
0.02575349248945713,
-0.003920691553503275,
-0.0010988485300913453,
-0.03125301003456116,
-0.032715797424316406,
-0.007036146707832813,
-0.005984768737107515,
0.06773829460144043,
0.012693897821009159,
-0.053757429122924805,
-0.05088811367750168,
0.0036147721111774445,
-0.0184114258736372,
-0.028650935739278793,
-0.05085998401045799,
0.021590175107121468,
0.030802922323346138,
-0.03398166969418526,
-0.004078925587236881,
0.03724481165409088,
0.09266193956136703,
-0.023854682222008705,
0.03831377252936363,
0.04776562750339508,
0.014374696649610996,
-0.0012140078470110893,
-0.02945265732705593,
0.05516395345330238,
0.01978982239961624,
0.026386430487036705,
0.02302483282983303,
-0.007749958895146847,
0.011603840626776218,
0.03282831981778145,
0.004156284499913454,
-0.04258960857987404,
-0.039635904133319855,
0.010563011281192303,
0.015457721427083015,
-0.003688614582642913,
-0.0104715870693326,
0.014515349641442299,
0.005432707257568836,
0.003140069544315338,
-0.0048138354904949665,
0.026076992973685265,
0.052800990641117096,
-0.006726711057126522,
0.007190864533185959,
0.006621221546083689,
-0.004645052365958691,
-0.00433913292363286,
-0.002333075273782015,
0.0024174668360501528,
0.04253334924578667,
-0.00046810947242192924,
-0.03831377252936363,
-0.0043110023252666,
0.10515189170837402,
-0.023854682222008705,
-0.003660484217107296,
0.06306862831115723,
-0.05423564463853836,
-0.04354604706168175,
-0.016428224742412567,
0.0543481670320034,
0.008214112371206284,
0.02478298917412758,
0.024220379069447517,
-0.009374496527016163,
-0.06650055199861526,
0.013073660433292389,
-0.03496623784303665,
-0.0016025606309995055,
0.029424525797367096,
0.02156204544007778,
-0.002385819796472788,
-0.01358000934123993,
0.04548705369234085,
-0.03091544285416603,
0.027863282710313797,
0.06008679419755936,
-0.012180515564978123,
-0.01983201876282692,
0.01796133816242218,
-0.02797580324113369,
0.0494815893471241,
-0.00665286835283041,
0.028355566784739494,
-0.04838449880480766,
0.047174885869026184,
0.02064780332148075,
0.02014145441353321,
-0.0024157084990292788,
-0.007546012289822102,
-0.02995900623500347,
-0.023235810920596123,
0.004694280680269003,
-0.01214535254985094,
0.0044446224346756935,
-0.02180115506052971,
-0.011420992203056812,
-0.013017399236559868,
0.03046535514295101,
-0.010633337311446667,
-0.04810319095849991,
0.03128113970160484,
0.007623371668159962,
0.034122321754693985,
0.04320847988128662,
0.0023242842871695757,
0.011962504126131535,
0.0192834734916687,
0.0013863072963431478,
0.035444457083940506,
0.019803887233138084,
-0.016836117953062057,
-0.04405239596962929,
0.05167577043175697,
-0.07218291610479355,
-0.02995900623500347,
0.05074746161699295,
-0.029987135902047157,
-0.022729462012648582,
0.022701330482959747,
-0.03997347131371498,
-0.05778009071946144,
0.04731553792953491,
-0.03794807568192482,
0.01249698456376791,
-0.011104523204267025,
-0.030437225475907326,
-0.013917575590312481,
0.04751245304942131,
0.026836518198251724,
-0.03777929022908211,
0.03592267632484436,
-0.0040191481821238995,
-0.02189961075782776,
-0.01587967947125435,
-0.021519849076867104,
0.001914633670821786,
0.003011723980307579,
-0.00900879967957735,
-0.0631248876452446,
0.015570243820548058,
-0.010478619486093521,
-0.011828884482383728,
0.050466157495975494,
0.054460689425468445,
-0.01426920760422945,
0.03333466872572899,
-0.04604966565966606,
-0.012897844426333904,
-0.08422278612852097,
0.025880079716444016,
-0.0024315319024026394,
0.005439739674329758,
-0.014754458330571651,
-0.015499917790293694,
0.05862400680780411,
-0.03572576120495796,
0.22999514639377594,
0.08827357739210129,
0.008136753924190998,
0.02589414454996586,
-0.002132645109668374,
0.054263778030872345,
0.04638722911477089,
-0.019606973975896835,
0.005963670555502176,
0.018945906311273575,
0.005763240624219179,
-0.0017731019761413336,
0.023812487721443176,
0.007299870252609253,
-0.003836299991235137,
0.05744252726435661,
-0.038623206317424774,
0.013397160917520523,
-0.026147320866584778,
0.01714555360376835,
-0.02762417308986187,
0.03299710154533386,
0.03167496621608734,
-0.009318235330283642,
-0.006962304003536701,
0.012532147578895092,
0.02215278521180153,
0.0007911709253676236,
-0.04427744075655937,
-0.020718129351735115,
-0.0004773397813551128,
-0.0300996582955122,
0.03687911480665207,
-0.018791189417243004,
-0.01973356120288372,
0.015092024579644203,
0.01710335724055767,
-0.009733160957694054,
-0.0028745876625180244,
0.017848815768957138,
-0.0037167451810091734,
-0.018608340993523598,
-0.03654154762625694,
-0.034178584814071655,
-0.0013924608938395977,
0.039438992738723755,
-0.041014302521944046,
0.018889645114541054,
0.06576915830373764,
-0.04017038643360138,
0.04219578206539154,
-0.05212585628032684,
-0.012869713827967644,
-0.014993567951023579,
-0.05105689913034439,
-0.002689981134608388,
0.04334913566708565,
-0.02105569653213024,
-0.004961520899087191,
0.017933208495378494,
0.05550152063369751,
-0.006093774456530809,
0.0018390328623354435,
0.016484485939145088,
0.013769890181720257,
0.03021218068897724,
0.03724481165409088,
0.036091458052396774,
-0.03932647034525871,
-0.055529650300741196,
0.004012115765362978,
-0.041520651429891586,
0.008987701497972012,
-0.035444457083940506,
0.0627310648560524,
-0.005358864553272724,
0.002065835287794471,
0.011055295355618,
0.017623772844672203,
-0.06408132612705231,
0.014712262898683548,
0.005056461319327354,
-0.032856449484825134,
-0.0031523765064775944,
0.06948238611221313,
0.036963507533073425,
0.02049308456480503,
0.017623772844672203,
-0.03806059807538986,
0.005302603356540203,
0.062449757009744644,
0.017637837678194046,
0.03125301003456116,
-0.04815945401787758,
-0.02676619216799736
] |
1207_15 | Uses in industry
Amino acids are used for a variety of applications in industry, but their main use is as additives to animal feed. This is necessary, since many of the bulk components of these feeds, such as soybeans, either have low levels or lack some of the essential amino acids: lysine, methionine, threonine, and tryptophan are most important in the production of these feeds. In this industry, amino acids are also used to chelate metal cations in order to improve the absorption of minerals from supplements, which may be required to improve the health or productivity of these animals.
The food industry is also a major consumer of amino acids, in particular, glutamic acid, which is used as a flavor enhancer, and aspartame (aspartylphenylalanine 1-methyl ester) as a low-calorie artificial sweetener. Similar technology to that used for animal nutrition is employed in the human nutrition industry to alleviate symptoms of mineral deficiencies, such as anemia, by improving mineral absorption and reducing negative side effects from inorganic mineral supplementation.
The chelating ability of amino acids has been used in fertilizers for agriculture to facilitate the delivery of minerals to plants in order to correct mineral deficiencies, such as iron chlorosis. These fertilizers are also used to prevent deficiencies from occurring and to improve the overall health of the plants. The remaining production of amino acids is used in the synthesis of drugs and cosmetics.
Similarly, some amino acids derivatives are used in pharmaceutical industry. They include 5-HTP (5-hydroxytryptophan) used for experimental treatment of depression, L-DOPA (L-dihydroxyphenylalanine) for Parkinson's treatment, and eflornithine drug that inhibits ornithine decarboxylase and used in the treatment of sleeping sickness.
Expanded genetic code
Since 2001, 40 non-natural amino acids have been added into protein by creating a unique codon (recoding) and a corresponding transfer-RNA:aminoacyl – tRNA-synthetase pair to encode it with diverse physicochemical and biological properties in order to be used as a tool to exploring protein structure and function or to create novel or enhanced proteins.
Nullomers | [
-0.008152828551828861,
0.0019270321354269981,
0.026286695152521133,
0.03806065022945404,
-0.07002256065607071,
0.03105839341878891,
0.005975211504846811,
-0.02579258382320404,
0.027994906529784203,
0.016884472221136093,
-0.026950214058160782,
-0.03540656715631485,
0.011597486212849617,
-0.03094545379281044,
0.0014646855415776372,
0.0038787696976214647,
-0.022517334669828415,
-0.06657790392637253,
-0.00005473269629874267,
0.010863378643989563,
0.031086627393960953,
0.00221820455044508,
-0.04365115985274315,
-0.010178682394325733,
0.00026823158259503543,
0.029251359403133392,
-0.012169242836534977,
-0.002129970584064722,
0.023293795064091682,
0.06866728514432907,
-0.03038075566291809,
0.02359026111662388,
0.007065784651786089,
-0.07199900597333908,
-0.034220702946186066,
-0.021924402564764023,
0.024324368685483932,
-0.018423274159431458,
-0.0005020518437959254,
-0.0038928871508687735,
0.02899724431335926,
-0.027769027277827263,
0.024691423401236534,
-0.020936179906129837,
-0.014293919317424297,
-0.0015493902610614896,
0.008089299313724041,
-0.012988055124878883,
-0.0016040954506024718,
0.028686661273241043,
0.01890326663851738,
0.032611314207315445,
0.034559521824121475,
0.016799766570329666,
-0.020837359130382538,
-0.06584379076957703,
0.0038611229974776506,
-0.017717402428388596,
-0.043284106999635696,
0.00764459976926446,
0.02726079896092415,
0.007023432292044163,
-0.00784930307418108,
-0.031679559499025345,
0.053674548864364624,
0.06674730777740479,
-0.03023958019912243,
0.011498664505779743,
-0.01698329485952854,
-0.01415274478495121,
-0.03506774827837944,
0.016348008066415787,
-0.044978201389312744,
-0.015628019347786903,
0.013609223067760468,
-0.019863253459334373,
0.06381087750196457,
-0.016093894839286804,
-0.03854064270853996,
0.013453931547701359,
-0.05285573750734329,
0.020357364788651466,
0.03919004648923874,
0.013757456094026566,
-0.051387522369623184,
0.03207485005259514,
-0.010362209752202034,
0.010990436188876629,
0.04554289951920509,
0.00796224270015955,
-0.021980872377753258,
0.03450305014848709,
-0.058615658432245255,
-0.02408437244594097,
0.0029681941960006952,
0.010009272955358028,
-0.01444215327501297,
0.03393835201859474,
-0.0474064014852047,
-0.03602773696184158,
0.020230308175086975,
0.01821151189506054,
-0.04596642032265663,
0.0474064014852047,
0.013213934376835823,
0.0359712652862072,
0.032950133085250854,
0.05406983941793442,
-0.04466761648654938,
-0.016531536355614662,
0.016475066542625427,
-0.017703283578157425,
0.010383385233581066,
-0.04026297107338905,
0.032470136880874634,
0.04963696002960205,
-0.025030242279171944,
0.04554289951920509,
-0.05980152264237404,
0.03266778215765953,
-0.0011346901301294565,
-0.038907695561647415,
0.029025480151176453,
-0.003301718970760703,
0.028827836737036705,
-0.004648170899599791,
-0.011858658865094185,
0.02176911011338234,
-0.03755242004990578,
0.0008007241995073855,
-0.013298639096319675,
-0.028446665033698082,
0.011964539997279644,
0.07047431915998459,
-0.023307912051677704,
-0.0091763436794281,
-0.021698523312807083,
0.03933122009038925,
-0.02337849885225296,
-0.0006189619889482856,
0.013220992870628834,
0.025750230997800827,
-0.052545152604579926,
0.07510484009981155,
-0.0037764182779937983,
0.040291205048561096,
-0.03286542743444443,
-0.037863004952669144,
0.0036670078989118338,
0.022983210161328316,
-0.038230057805776596,
0.018705623224377632,
-0.028601957485079765,
0.007665776181966066,
-0.024112606421113014,
-0.005735214799642563,
-0.0020293835550546646,
0.03176426514983177,
0.048761676996946335,
0.027825497090816498,
-0.017562109977006912,
-0.009931626729667187,
0.008985757827758789,
0.043255873024463654,
-0.025990227237343788,
0.009056344628334045,
-0.03518068790435791,
0.012684529647231102,
-0.00236114370636642,
-0.019651493057608604,
0.014392741955816746,
0.015035085380077362,
-0.03749595209956169,
0.010644558817148209,
0.001402039430104196,
0.04859226942062378,
0.0674249455332756,
-0.01775975339114666,
0.003543480299413204,
0.009846922010183334,
-0.027571382001042366,
0.006666966248303652,
-0.02774079144001007,
0.050032246857881546,
0.0019464435754343867,
-0.00618344359099865,
-0.010418679565191269,
-0.00762342382222414,
0.020371481776237488,
-0.017957398667931557,
0.0089928163215518,
0.015232729725539684,
-0.0552557036280632,
0.014865675941109657,
-0.05867212638258934,
-0.006543438881635666,
-0.041110020130872726,
0.04184412583708763,
-0.004683464299887419,
-0.03407952934503555,
-0.014752736315131187,
0.04523231461644173,
0.0006895492551848292,
0.0014805677346885204,
0.023322029039263725,
0.039585333317518234,
0.0029540767427533865,
0.03139721229672432,
-0.014682149514555931,
0.02899724431335926,
0.03537833318114281,
0.011816306971013546,
-0.005516394041478634,
-0.031227802857756615,
-0.0008832230814732611,
-0.012832763604819775,
-0.008562234230339527,
0.0038752404507249594,
-0.04650288447737694,
0.008505764417350292,
-0.008851641789078712,
-0.008703408762812614,
-0.023124385625123978,
0.011244550347328186,
0.00409759022295475,
0.009981038048863411,
-0.002377025783061981,
0.017505640164017677,
-0.008258708752691746,
-0.03461598977446556,
-0.025270238518714905,
0.01528919953852892,
0.04506290331482887,
0.004231706261634827,
0.000057076413213508204,
0.013870395720005035,
-0.009077521041035652,
-0.0017982104327529669,
0.0262302253395319,
-0.0029205477330833673,
0.011068081483244896,
0.019397377967834473,
0.016940942034125328,
0.00864693894982338,
0.004655229393392801,
0.023816140368580818,
-0.03289366140961647,
-0.006197561044245958,
0.009529279544949532,
0.04238058999180794,
-0.044385265558958054,
0.0451476089656353,
0.040630023926496506,
0.0503993034362793,
0.00035911265877075493,
-0.04192883148789406,
0.02152911387383938,
0.006928139366209507,
0.005459924228489399,
-0.07047431915998459,
0.012910408899188042,
0.03749595209956169,
0.021500878036022186,
0.0367053747177124,
0.08984345942735672,
0.024804363027215004,
-0.013326874002814293,
0.03275248780846596,
-0.004175236448645592,
0.007934007793664932,
-0.0700790286064148,
-0.04367939382791519,
-0.00016400507593061775,
-0.004203471355140209,
-0.024225546047091484,
-0.051048703491687775,
0.041222959756851196,
-0.03712889552116394,
0.028107846155762672,
0.005258750636130571,
-0.015642136335372925,
-0.02785373106598854,
-0.05940623581409454,
0.014780971221625805,
0.021133825182914734,
0.012642177753150463,
-0.008957522921264172,
-0.013630399480462074,
-0.03331718593835831,
-0.003077604342252016,
0.01019280031323433,
0.011590427719056606,
-0.03196191042661667,
-0.04675699770450592,
0.03326071426272392,
0.03693125396966934,
-0.004316410981118679,
-0.0026681984309107065,
-0.013545694760978222,
0.025298472493886948,
-0.03715713322162628,
0.029251359403133392,
-0.05446512624621391,
-0.013792750425636768,
-0.020004428923130035,
0.052093394100666046,
-0.046135831624269485,
0.025961993262171745,
0.038230057805776596,
-0.012804528698325157,
0.004919931758195162,
0.011745719239115715,
-0.0005894036148674786,
-0.00042220004252158105,
-0.04037591069936752,
-0.0063775586895644665,
0.054154545068740845,
0.019397377967834473,
0.006494027562439442,
-0.022714979946613312,
-0.0159244854003191,
-0.002947018016129732,
-0.02109147235751152,
-0.018592683598399162,
-0.029957231134176254,
0.026060815900564194,
-0.020555010065436363,
-0.08272826671600342,
0.02600434608757496,
-0.0025517293252050877,
-0.0511334091424942,
0.024493778124451637,
0.01357392966747284,
0.032131318002939224,
-0.014300978742539883,
-0.007228135131299496,
0.04734993353486061,
0.02257380448281765,
-0.03069133870303631,
-0.008908111602067947,
0.030804278329014778,
0.00860458705574274,
0.014350389130413532,
0.023322029039263725,
-0.009437516331672668,
0.039811212569475174,
0.019298555329442024,
-0.009938686154782772,
0.04576877877116203,
-0.03379717841744423,
-0.009296341799199581,
0.03865358233451843,
0.010376326739788055,
0.05550982058048248,
0.03057839907705784,
0.052093394100666046,
0.022884389385581017,
0.006444616708904505,
-0.010672793723642826,
0.026074932888150215,
0.007630482316017151,
-0.005294044502079487,
-0.024550247937440872,
-0.06064857169985771,
-0.031905438750982285,
-0.028037259355187416,
-0.03136897832155228,
0.008272826671600342,
-0.012522179633378983,
-0.044978201389312744,
0.0303525198251009,
-0.00014282889605965465,
-0.002938194666057825,
-0.014385683462023735,
-0.023985549807548523,
-0.026964332908391953,
0.0712084248661995,
0.024564364925026894,
0.026272576302289963,
-0.0783236175775528,
0.0419570654630661,
0.015882132574915886,
0.029590178281068802,
-0.025693761184811592,
-0.0017311525298282504,
0.027698440477252007,
-0.01483744103461504,
0.06911904364824295,
-0.0318489708006382,
0.017562109977006912,
-0.0023752611596137285,
-0.038117118179798126,
0.034446582198143005,
0.0023540849797427654,
-0.017618579789996147,
-0.03199014440178871,
0.031001923605799675,
0.00020911474712193012,
-0.016446830704808235,
-0.005975211504846811,
0.02981605753302574,
0.0016261539421975613,
0.01935502514243126,
-0.013065701350569725,
0.03529362753033638,
-0.039811212569475174,
-0.005399925168603659,
0.015204494819045067,
0.012571590952575207,
-0.004168177489191294,
-0.0007195488433353603,
-0.005001107230782509,
-0.021006768569350243,
-0.011809248477220535,
-0.03117133304476738,
0.020131485536694527,
0.01231747679412365,
-0.03105839341878891,
-0.019298555329442024,
-0.010941024869680405,
0.010637499392032623,
-0.002216439926996827,
-0.008124593645334244,
0.0032611312344670296,
0.055876873433589935,
-0.011809248477220535,
0.012536296620965004,
-0.017378583550453186,
0.01426568441092968,
0.013432755134999752,
-0.019962076097726822,
-0.004764639772474766,
-0.012409240007400513,
0.012310417369008064,
-0.03060663491487503,
0.02590552344918251,
0.050935763865709305,
-0.036959487944841385,
0.017336230725049973,
-0.02189616672694683,
-0.013475107029080391,
-0.003358188783749938,
-0.018380921334028244,
-0.01358098816126585,
0.01650330051779747,
-0.01054573617875576,
0.013446872122585773,
0.03820182383060455,
-0.0026505514979362488,
-0.012035127729177475,
0.015755075961351395,
-0.04020650312304497,
0.02395731583237648,
-0.01833856850862503,
-0.004602289292961359,
0.008618704043328762,
-0.019524434581398964,
-0.009776335209608078,
0.0009291047463193536,
0.008498705923557281,
-0.0178868118673563,
-0.04207000508904457,
0.01547272689640522,
-0.030324285849928856,
-0.0024546717759221792,
0.03794771060347557,
-0.006349323783069849,
-0.0021229118574410677,
0.041420601308345795,
0.04353822022676468,
-0.003910534083843231,
-0.0011717485031113029,
0.0183526873588562,
-0.02783961407840252,
0.01698329485952854,
-0.027670204639434814,
-0.013383343815803528,
0.035801857709884644,
-0.032159555703401566,
-0.04012179747223854,
-0.021966753527522087,
0.023307912051677704,
0.012818645685911179,
-0.04181589186191559,
0.03614067658782005,
-0.041222959756851196,
0.006522262468934059,
0.03128427267074585,
-0.05502982437610626,
0.009409281425178051,
0.005318749696016312,
0.0007301369332708418,
0.005449336022138596,
0.031086627393960953,
-0.031199567019939423,
-0.06917551159858704,
0.03131250664591789,
0.008611645549535751,
0.014823324047029018,
0.016235068440437317,
0.08470471203327179,
-0.06550497561693192,
0.009268106892704964,
-0.023336147889494896,
-0.002489965409040451,
0.03266778215765953,
-0.004976401571184397,
0.00650814501568675,
-0.02244674786925316,
0.011583369225263596,
0.006854022853076458,
0.027020802721381187,
-0.019976193085312843,
-0.016390360891819,
0.06499674916267395,
-0.013510401360690594,
0.03919004648923874,
0.016206834465265274,
-0.06849787384271622,
0.007348133251070976,
0.016926825046539307,
-0.018522096797823906,
-0.04277587682008743,
0.05912388488650322,
-0.03368423879146576,
0.023660847917199135,
0.014865675941109657,
-0.04596642032265663,
0.013517459854483604,
-0.05175457522273064,
0.029844291508197784,
-0.031792499125003815,
-0.021147942170500755,
-0.08385766297578812,
0.022150281816720963,
-0.025369059294462204,
0.037072427570819855,
0.040517084300518036,
-0.0625685453414917,
0.004584642127156258,
-0.011053964495658875,
0.006716377567499876,
-0.019002089276909828,
-0.04170295223593712,
-0.01938326098024845,
-0.04526054859161377,
0.010072801262140274,
0.023787906393408775,
-0.0026911392342299223,
-0.02383025735616684,
0.024338485673069954,
0.018197394907474518,
0.06584379076957703,
0.0020223248284310102,
-0.03887946158647537,
-0.01100455317646265,
0.02717609331011772,
0.0779283344745636,
-0.010962201282382011,
0.04517584294080734,
-0.06640849262475967,
0.03117133304476738,
-0.029533708468079567,
0.01425862591713667,
0.021232647821307182,
-0.02282791957259178,
-0.011653956025838852,
-0.0442158579826355,
0.05562276020646095,
0.028347842395305634,
-0.04661582410335541,
-0.024140842258930206,
0.028743131086230278,
0.01980678364634514,
-0.013658634386956692,
-0.013397461734712124,
-0.05387219414114952,
-0.028249019756913185,
-0.04986283928155899,
0.030973687767982483,
0.0013561577070504427,
-0.028573721647262573,
0.019736196845769882,
-0.014625679701566696,
0.039472393691539764,
-0.04960872605443001,
0.03842770308256149,
0.06115679815411568,
0.03487010672688484,
-0.027416091412305832,
0.022291455417871475,
0.02624434232711792,
0.020667949691414833,
-0.045429959893226624,
-0.018522096797823906,
0.013185699470341206,
-0.015853898599743843,
-0.00020051193132530898,
-0.01696917600929737,
-0.03772183135151863,
-0.004312881268560886,
0.031707797199487686,
0.029590178281068802,
-0.022291455417871475,
0.010510442778468132,
0.01927032135426998,
-0.03574538603425026,
0.002827019663527608,
0.057260382920503616,
-0.03441834822297096,
-0.012536296620965004,
0.01672917976975441,
0.011096316389739513,
-0.024211429059505463,
-0.001884679775685072,
-0.024324368685483932,
-0.030860748142004013,
0.021514996886253357,
0.034672461450099945,
0.028856070712208748,
-0.04088414087891579,
0.01888914965093136,
-0.01009397767484188,
-0.01209159754216671,
-0.05582040175795555,
0.028220785781741142,
-0.017053881660103798,
-0.0303525198251009,
0.0006326382863335311,
-0.04847932979464531,
0.0021582054905593395,
-0.004422291647642851,
0.0025129064451903105,
0.009529279544949532,
-0.031566619873046875,
0.00381171191111207,
-0.033401891589164734,
0.02521376870572567,
-0.007941066287457943,
-0.05429571866989136,
0.06420616805553436,
-0.02692198008298874,
-0.004122295882552862,
-0.020315011963248253,
0.020936179906129837,
-0.013213934376835823,
-0.0033828942105174065,
0.04503466933965683,
-0.015966838225722313,
0.035011280328035355,
-0.0058799185790121555,
0.021867932751774788,
0.01912914589047432,
-0.014597444795072079,
-0.05901094526052475,
0.06268148124217987,
0.026074932888150215,
-0.02257380448281765,
-0.04071472957730293,
0.03955709934234619,
0.01111749280244112,
0.03526539355516434,
0.006236384157091379,
-0.03938768804073334,
0.008286943659186363,
-0.0052022808231413364,
0.012239830568432808,
-0.03300660103559494,
-0.001607624813914299,
-0.04689817503094673,
-0.008209298364818096,
0.018818562850356102,
-0.06985314935445786,
0.026286695152521133,
0.023674966767430305,
-0.005110517609864473,
-0.025806700810790062,
-0.08380119502544403,
0.018395038321614265,
0.012063362635672092,
-0.026272576302289963,
-0.016432713717222214,
0.028743131086230278,
-0.035124219954013824,
-0.037637125700712204,
0.004775227978825569,
0.01843739114701748,
-0.03825829178094864,
0.005992858204990625,
-0.02714785933494568,
-0.041759420186281204,
0.011533957906067371,
0.01626330427825451,
-0.01709623448550701,
0.012903350405395031,
-0.01323511078953743,
-0.03758065402507782,
-0.02498788945376873,
0.0065328506752848625,
-0.025058476254343987,
0.0633026510477066,
0.021839696913957596,
0.004662288352847099,
0.013256287202239037,
0.030888983979821205,
0.012571590952575207,
-0.047265227884054184,
-0.0008792525040917099,
0.013333932496607304,
-0.036168910562992096,
0.05822036787867546,
-0.04559936746954918,
0.043735865503549576,
-0.02567964419722557,
-0.048422858119010925,
-0.023900846019387245,
0.0024934948887676,
0.04729346185922623,
0.05031459778547287,
-0.03125603869557381,
0.07465308159589767,
-0.00000940933659876464,
-0.0020382071379572153,
0.018366804346442223,
-0.002671727677807212,
0.020780889317393303,
-0.023110268637537956,
0.04619229957461357,
-0.04576877877116203,
0.01720917411148548,
-0.07465308159589767,
-0.006712848320603371,
0.02143029123544693,
-0.014922145754098892,
0.017675049602985382,
0.0007680776179768145,
0.03046545945107937,
-0.02992899715900421,
-0.041533540934324265,
-0.036055970937013626,
0.030973687767982483,
0.024818480014801025,
-0.06911904364824295,
-0.013432755134999752,
-0.044046446681022644,
0.03492657467722893,
-0.05011695250868797,
-0.0391618087887764,
-0.007454014383256435,
0.0603097528219223,
-0.007997536100447178,
-0.021472644060850143,
-0.03060663491487503,
-0.013976276852190495,
0.0292231235653162,
-0.020230308175086975,
0.01709623448550701,
-0.03001370094716549,
-0.049665194004774094,
-0.031114863231778145,
0.006264619063585997,
-0.03927474841475487,
-0.05234751105308533,
-0.013150406070053577,
-0.007926949299871922,
-0.04297352209687233,
-0.050935763865709305,
0.02820666879415512,
0.02476201020181179,
0.04729346185922623,
-0.029618412256240845,
-0.021049119532108307,
-0.031227802857756615,
-0.007263428531587124,
0.06674730777740479,
-0.012931585311889648,
-0.02774079144001007,
-0.028164315968751907,
-0.011908070184290409,
-0.021910283714532852,
0.02981605753302574,
-0.021839696913957596,
0.0554533489048481,
-0.002204087097197771,
-0.02990076132118702,
-0.006635202094912529,
0.034559521824121475,
0.09379635006189346,
0.00006347338785417378,
0.06053563207387924,
0.026738453656435013,
0.02680904045701027,
0.002567611401900649,
-0.017364464700222015,
0.00042131770169362426,
0.018310334533452988,
0.03885122761130333,
0.03196191042661667,
-0.020569127053022385,
-0.017618579789996147,
0.033627770841121674,
-0.019764432683587074,
-0.04424409195780754,
-0.01888914965093136,
0.015162142924964428,
0.010750439018011093,
0.02450789511203766,
-0.03303483501076698,
-0.004941108170896769,
0.02956194244325161,
-0.012924526818096638,
0.03207485005259514,
-0.01146337017416954,
0.02864430844783783,
0.00967751257121563,
-0.020780889317393303,
0.01399039477109909,
-0.018705623224377632,
-0.03964180499315262,
0.046587590128183365,
0.015119790099561214,
-0.002827019663527608,
0.005883447825908661,
-0.03933122009038925,
-0.0029064302798360586,
0.08109064400196075,
-0.010178682394325733,
0.03777829930186272,
0.01880444586277008,
-0.04492172971367836,
-0.011188080534338951,
-0.004595230333507061,
0.006349323783069849,
0.016291538253426552,
0.04878991097211838,
0.03136897832155228,
0.017265643924474716,
-0.04983460530638695,
0.025072593241930008,
-0.031933676451444626,
-0.005537570454180241,
-0.008442236110568047,
0.020611479878425598,
-0.0071857827715575695,
-0.015515078790485859,
0.05068165063858032,
-0.048084039241075516,
0.017279760912060738,
0.025947876274585724,
-0.019312674179673195,
-0.05457806587219238,
0.026865510269999504,
-0.031792499125003815,
0.0021317352075129747,
0.02888430655002594,
0.0764036476612091,
0.004584642127156258,
0.012592766433954239,
0.007214017678052187,
0.03907710686326027,
0.022263221442699432,
0.0021687934640794992,
-0.012868057005107403,
-0.005011695437133312,
-0.00398465059697628,
-0.01914326474070549,
-0.01141395978629589,
-0.036733608692884445,
-0.03232896327972412,
-0.03715713322162628,
0.03289366140961647,
-0.028333725407719612,
-0.02109147235751152,
0.03173603117465973,
-0.0005210221861489117,
0.039924152195453644,
-0.017957398667931557,
-0.0091763436794281,
0.010348091833293438,
0.023082032799720764,
-0.0030846630688756704,
-0.013799808919429779,
0.00013488784315995872,
-0.0034375994000583887,
-0.008039888925850391,
0.03487010672688484,
-0.01472450140863657,
-0.02144440822303295,
0.013446872122585773,
-0.020724419504404068,
-0.01812680810689926,
0.023209089413285255,
-0.01763269677758217,
-0.05260162428021431,
0.032131318002939224,
-0.024550247937440872,
0.059180356562137604,
-0.02751491218805313,
-0.02647022157907486,
-0.053109850734472275,
-0.0024582012556493282,
0.04845109209418297,
-0.017110351473093033,
0.06776376813650131,
0.010715145617723465,
-0.010418679565191269,
0.02634316496551037,
0.000020735007637995295,
0.0043375869281589985,
0.006871669553220272,
-0.025058476254343987,
-0.03393835201859474,
-0.000998809700831771,
0.0004583759873639792,
-0.05316632241010666,
0.05502982437610626,
0.05627216026186943,
0.0025534939486533403,
0.020371481776237488,
-0.039698272943496704,
-0.01936914399266243,
-0.06042269244790077,
0.04232411831617355,
0.024352604523301125,
-0.006511674262583256,
-0.013136288151144981,
-0.027006683871150017,
0.06132620945572853,
-0.03563244640827179,
0.23333323001861572,
0.07448367029428482,
-0.0026329047977924347,
0.018733857199549675,
-0.012402181513607502,
0.030550165101885796,
0.08114711195230484,
-0.07386250793933868,
-0.011103375814855099,
0.0021987929940223694,
0.02370320074260235,
-0.004665817599743605,
0.031820736825466156,
0.01135043054819107,
0.00807518232613802,
0.037975944578647614,
-0.058728598058223724,
0.02176911011338234,
-0.02439495548605919,
0.01528919953852892,
-0.031566619873046875,
0.02292674034833908,
0.040742963552474976,
-0.02428201586008072,
0.002317026723176241,
-0.005922270938754082,
0.0006251384038478136,
0.019340908154845238,
-0.005392866674810648,
0.012988055124878883,
0.03326071426272392,
-0.032018378376960754,
0.05757096782326698,
-0.04503466933965683,
-0.028220785781741142,
-0.0031181920785456896,
-0.005308161955326796,
-0.03348659351468086,
-0.017844459041953087,
0.02553846873342991,
-0.007362250704318285,
-0.0006780788535252213,
-0.029759587720036507,
-0.028969010338187218,
0.016771532595157623,
0.00773636344820261,
-0.03244190290570259,
0.03407952934503555,
0.0524604506790638,
-0.027656087651848793,
0.01660212315618992,
-0.042239416390657425,
-0.0022887918166816235,
-0.008435177616775036,
-0.04461114481091499,
-0.02038560062646866,
0.016686826944351196,
-0.04218294471502304,
-0.01133631356060505,
0.016460947692394257,
0.04901579022407532,
-0.0004363174957688898,
-0.00010367503273300827,
0.018931502476334572,
0.03060663491487503,
0.009366928599774837,
0.015769192948937416,
0.01993384212255478,
-0.006299912929534912,
-0.015275082550942898,
-0.03862534835934639,
-0.024606717750430107,
0.0003760977415367961,
-0.03746771439909935,
0.02750079520046711,
-0.0025482000783085823,
0.0017779165646061301,
0.035350099205970764,
0.011491605080664158,
-0.05181104689836502,
-0.001672917976975441,
0.006772847380489111,
-0.05454983189702034,
-0.02740197256207466,
0.04068649560213089,
0.04811227321624756,
0.001273217611014843,
-0.013679810799658298,
-0.0440182127058506,
-0.005258750636130571,
0.026978449895977974,
0.01672917976975441,
0.028277255594730377,
-0.04207000508904457,
-0.03196191042661667
] |
1207_16 | Nullomers
Nullomers are codons that in theory code for an amino acid, however, in nature there is a selective bias against using this codon in favor of another, for example bacteria prefer to use CGA instead of AGA to code for arginine. This creates some sequences that do not appear in the genome. This characteristic can be taken advantage of and used to create new selective cancer-fighting drugs and to prevent cross-contamination of DNA samples from crime-scene investigations.
Chemical building blocks
Amino acids are important as low-cost feedstocks. These compounds are used in chiral pool synthesis as enantiomerically pure building blocks.
Amino acids have been investigated as precursors chiral catalysts, such as for asymmetric hydrogenation reactions, although no commercial applications exist.
Biodegradable plastics
Amino acids have been considered as components of biodegradable polymers, which have applications as environmentally friendly packaging and in medicine in drug delivery and the construction of prosthetic implants. An interesting example of such materials is polyaspartate, a water-soluble biodegradable polymer that may have applications in disposable diapers and agriculture. Due to its solubility and ability to chelate metal ions, polyaspartate is also being used as a biodegradable antiscaling agent and a corrosion inhibitor. In addition, the aromatic amino acid tyrosine has been considered as a possible replacement for phenols such as bisphenol A in the manufacture of polycarbonates.
Synthesis
Chemical synthesis
The commercial production of amino acids usually relies on mutant bacteria that overproduce individual amino acids using glucose as a carbon source. Some amino acids are produced by enzymatic conversions of synthetic intermediates. 2-Aminothiazoline-4-carboxylic acid is an intermediate in one industrial synthesis of L-cysteine for example. Aspartic acid is produced by the addition of ammonia to fumarate using a lyase. | [
-0.01282504666596651,
0.007396262604743242,
0.01759071834385395,
0.0029238921124488115,
-0.03206261619925499,
0.008234263397753239,
-0.013546455651521683,
-0.019193848595023155,
0.016497673466801643,
0.0472777858376503,
-0.0024994267150759697,
-0.044567037373781204,
0.020141152665019035,
-0.04445044696331024,
-0.02470278926193714,
-0.0034248705487698317,
-0.0009149687248282135,
-0.03564780205488205,
-0.033520009368658066,
-0.012234803289175034,
0.010515080764889717,
0.01200162060558796,
-0.0645333006978035,
-0.02532946690917015,
0.008525741286575794,
0.0411858893930912,
0.0035432835575193167,
0.00948033295571804,
0.08639417588710785,
0.07123730331659317,
0.008380002342164516,
-0.013852507807314396,
0.010179881006479263,
-0.10032684355974197,
-0.005221105646342039,
-0.017022334039211273,
0.022822754457592964,
0.014967412687838078,
0.010697254911065102,
0.019922545179724693,
0.051037855446338654,
-0.046519942581653595,
0.01636650785803795,
-0.011003307066857815,
-0.06109385937452316,
0.00007770858064759523,
0.022210650146007538,
0.00013879378093406558,
-0.037571556866168976,
0.03713434189558029,
0.013888943009078503,
0.024935971945524216,
0.04360515996813774,
0.009130558930337429,
0.002111396286636591,
-0.06138533726334572,
0.009327306412160397,
-0.013699482195079327,
-0.05558491870760918,
-0.021044736728072166,
0.00396046182140708,
-0.005840497091412544,
0.0016459417529404163,
-0.03016800805926323,
0.022414684295654297,
0.04707375168800354,
-0.0023136092349886894,
0.02126334421336651,
-0.015215168707072735,
0.005804062355309725,
-0.023828353732824326,
-0.008489306084811687,
-0.027238650247454643,
-0.04523743689060211,
-0.004922340624034405,
-0.009946698322892189,
0.04928898811340332,
-0.02452790178358555,
-0.028885502368211746,
0.017459552735090256,
-0.011440524831414223,
0.04829796031117439,
0.025446059182286263,
0.02091357111930847,
-0.05949072912335396,
0.01537548191845417,
-0.03765900060534477,
0.026101885363459587,
0.02416355349123478,
0.011404089629650116,
-0.028827207162976265,
0.04421726241707802,
-0.016716282814741135,
-0.0036799139343202114,
0.02442588470876217,
-0.007498280145227909,
-0.017255516722798347,
0.030780112370848656,
-0.035152286291122437,
-0.001137676415964961,
0.02464449405670166,
0.06540773808956146,
-0.04485851526260376,
0.04071952402591705,
0.008598610758781433,
0.02011200599372387,
0.01815910078585148,
0.03538547083735466,
-0.055001962929964066,
-0.011178194545209408,
-0.01455934252589941,
-0.01042763702571392,
0.00958235003054142,
-0.05893692001700401,
0.039670202881097794,
0.04439214989542961,
-0.035093992948532104,
0.0600445382297039,
-0.03975764662027359,
0.01600216142833233,
-0.007112071383744478,
0.010777411051094532,
0.013262264430522919,
0.015827273949980736,
0.024935971945524216,
0.026786858215928078,
0.021350787952542305,
0.008088523522019386,
-0.029410164803266525,
0.00786991510540247,
0.02984738163650036,
-0.03389893099665642,
0.009837393648922443,
0.04786074161529541,
-0.001169556868262589,
0.006857027765363455,
-0.006336010526865721,
0.06365887075662613,
0.017342960461974144,
-0.009247150272130966,
0.0180133618414402,
0.035880982875823975,
-0.051475074142217636,
0.079165518283844,
0.008977532386779785,
0.03337426856160164,
0.017240943387150764,
-0.05832481384277344,
-0.013728629797697067,
0.03386978432536125,
-0.02710748463869095,
-0.02417812868952751,
-0.014012821018695831,
-0.001775285229086876,
-0.027879903092980385,
0.03824195638298988,
-0.008008367381989956,
0.028564877808094025,
0.018916944041848183,
-0.015710681676864624,
-0.0032445183023810387,
-0.002253491897135973,
0.030313747003674507,
0.002891100710257888,
-0.06972161680459976,
0.006467175669968128,
-0.03800877556204796,
0.02849200740456581,
-0.00984468124806881,
-0.019470753148198128,
0.029570477083325386,
0.01864003948867321,
-0.061793405562639236,
0.021598543971776962,
0.0016477634198963642,
0.04882262274622917,
0.09461386501789093,
-0.01313838642090559,
0.001366304699331522,
-0.012336820363998413,
0.02069496177136898,
-0.008365428075194359,
-0.017561569809913635,
0.08318791538476944,
0.0059315841645002365,
0.016351934522390366,
-0.009837393648922443,
-0.005181027576327324,
0.034627627581357956,
-0.041156742721796036,
0.029497608542442322,
0.04622846469283104,
-0.04471277818083763,
-0.029045816510915756,
-0.0703628733754158,
0.021627692505717278,
-0.053632013499736786,
0.052203770726919174,
-0.02738438919186592,
-0.03937872499227524,
-0.0052393232472240925,
0.026364214718341827,
-0.0028309833724051714,
-0.03121732920408249,
0.002805478870868683,
0.023187100887298584,
-0.004798462148755789,
0.020082857459783554,
-0.0008849099976941943,
0.024148980155587196,
0.04445044696331024,
0.0014382634544745088,
-0.021481953561306,
0.009487619623541832,
-0.0034977400209754705,
-0.04141907021403313,
-0.017925918102264404,
0.02685972861945629,
-0.03961190581321716,
0.012242089956998825,
-0.025198301300406456,
-0.02948303334414959,
-0.012467985972762108,
0.025824980810284615,
0.03427785262465477,
0.012307672761380672,
0.015623238869011402,
0.0275301281362772,
-0.013801499269902706,
-0.04106929898262024,
-0.013284125365316868,
0.01165913324803114,
0.021146753802895546,
-0.017707308754324913,
0.016351934522390366,
-0.004623575136065483,
0.0016705351881682873,
0.03987423703074455,
0.025883276015520096,
0.02184630185365677,
0.00062030233675614,
0.013903516344726086,
0.018363134935498238,
-0.005887862294912338,
0.01321854256093502,
0.029351867735385895,
-0.046986307948827744,
-0.014719655737280846,
-0.024629918858408928,
-0.011141759343445301,
-0.04794818535447121,
0.03690115734934807,
0.03853343427181244,
0.020141152665019035,
-0.035880982875823975,
-0.04328453168272972,
0.035093992948532104,
0.008277984336018562,
-0.05290331691503525,
-0.027369815856218338,
-0.008482019416987896,
0.052145473659038544,
0.008948384784162045,
0.012934351339936256,
0.04252668842673302,
0.034044668078422546,
-0.0014182243030518293,
0.018363134935498238,
-0.017386682331562042,
0.015579516999423504,
-0.09228204190731049,
-0.034365296363830566,
-0.021205049008131027,
0.012518994510173798,
-0.022079484537243843,
-0.03468592092394829,
0.04226435720920563,
-0.04654908925294876,
0.01165913324803114,
0.010981446132063866,
-0.03185858204960823,
-0.05643020570278168,
-0.059519875794649124,
0.00416085310280323,
-0.0042519401758909225,
0.0032445183023810387,
-0.01611875183880329,
0.010966872796416283,
-0.006867958232760429,
0.00555630587041378,
-0.027020040899515152,
0.03870832175016403,
-0.016555968672037125,
-0.03252898156642914,
0.023230822756886482,
0.028827207162976265,
0.03471507132053375,
-0.020622091367840767,
-0.021365361288189888,
0.0007920013158582151,
-0.04739437624812126,
0.00997584592550993,
-0.02891465090215206,
-0.014617638662457466,
-0.033724043518304825,
0.02452790178358555,
-0.01411483809351921,
0.014537481591105461,
0.025562649592757225,
0.01984967477619648,
-0.002599622355774045,
-0.005031644832342863,
0.029672494158148766,
0.023143379017710686,
-0.05296161398291588,
0.004222792573273182,
0.02464449405670166,
0.05164996162056923,
-0.0036398356314748526,
0.009939411655068398,
-0.019660213962197304,
0.000785625190474093,
-0.00990297645330429,
-0.04829796031117439,
0.0029803658835589886,
0.0592866949737072,
-0.01289791613817215,
-0.06669024378061295,
0.0223709624260664,
0.016308212652802467,
-0.03512313961982727,
0.034365296363830566,
0.027675868943333626,
0.01084299385547638,
0.01163727231323719,
0.0036234401632100344,
0.026816006749868393,
0.001021085074171424,
-0.04538317769765854,
0.012285811826586723,
0.007906350307166576,
0.002756292000412941,
-0.024717362597584724,
-0.006325080059468746,
-0.0025577223859727383,
0.029045816510915756,
0.004124418366700411,
-0.00722501939162612,
0.045470621436834335,
-0.023944946005940437,
0.019616492092609406,
0.030284598469734192,
-0.007556575816124678,
0.019091831520199776,
-0.00829255860298872,
0.06779786199331284,
0.012599150650203228,
-0.005221105646342039,
-0.025868702679872513,
0.029031243175268173,
0.02089899592101574,
0.05028001219034195,
-0.044625334441661835,
-0.056575946509838104,
0.0009309089509770274,
-0.024309292435646057,
-0.022341813892126083,
0.033928077667951584,
-0.010515080764889717,
-0.01082113292068243,
0.046345055103302,
-0.016089603304862976,
-0.02111760526895523,
0.011221915483474731,
-0.0010875785956159234,
-0.03623075783252716,
0.0318877287209034,
0.039582759141922,
0.023988667875528336,
-0.06803104281425476,
0.011761151254177094,
0.029264425858855247,
0.0274864062666893,
-0.0011650024680420756,
0.04418811574578285,
0.027092911303043365,
-0.008022941648960114,
0.004864044953137636,
-0.020243169739842415,
-0.011972473002970219,
0.0022972135338932276,
-0.03932042792439461,
0.028666894882917404,
-0.021919170394539833,
-0.02468821592628956,
-0.028608597815036774,
0.014384455978870392,
0.024455033242702484,
-0.0575086772441864,
-0.008124958723783493,
0.009779098443686962,
0.009465758688747883,
-0.030517781153321266,
-0.006948114838451147,
-0.02895837277173996,
-0.00260690925642848,
-0.028200529515743256,
0.011571689508855343,
-0.018756631761789322,
-0.006835166830569506,
-0.028258824720978737,
-0.0026797789614647627,
-0.006124688312411308,
-0.033724043518304825,
-0.008518454618752003,
0.037513263523578644,
-0.001649585203267634,
0.005632818676531315,
-0.023974092677235603,
-0.026976320892572403,
-0.025023415684700012,
-0.04334282875061035,
-0.013386142440140247,
0.011331220157444477,
0.016293639317154884,
-0.018989814445376396,
0.027602998539805412,
-0.0018162743654102087,
0.024731935933232307,
0.026247624307870865,
0.002865596441552043,
0.009064976125955582,
-0.00834356714040041,
-0.007964645512402058,
-0.02901666797697544,
0.04013656824827194,
0.060685791075229645,
-0.036522235721349716,
0.023201676085591316,
-0.032354094088077545,
-0.008671480230987072,
0.010544228367507458,
-0.01329869870096445,
-0.023566024377942085,
0.023420283570885658,
-0.003235409501940012,
0.04028230533003807,
0.06220147758722305,
-0.021831726655364037,
0.019499899819493294,
-0.001248802524060011,
-0.005439714528620243,
-0.014012821018695831,
-0.018771205097436905,
-0.007527428213506937,
0.011892315931618214,
-0.028287973254919052,
-0.011010593734681606,
-0.01034748088568449,
-0.02417812868952751,
-0.006933541037142277,
-0.03322853147983551,
0.024192702025175095,
-0.04768585413694382,
-0.009866541251540184,
0.048997506499290466,
-0.050833821296691895,
-0.01527346484363079,
-0.000628044712357223,
0.03774644434452057,
0.004364888183772564,
-0.029104111716151237,
-0.008984819985926151,
-0.03532717376947403,
0.04343027248978615,
-0.008124958723783493,
-0.014777951873838902,
0.013801499269902706,
-0.03713434189558029,
-0.0378047414124012,
-0.003342892276123166,
0.03413211181759834,
0.026932599022984505,
-0.06109385937452316,
0.05861629173159599,
-0.011848594062030315,
-0.011229203082621098,
0.01743040420114994,
-0.04829796031117439,
-0.02821510285139084,
0.006722219288349152,
0.01938330940902233,
0.03249983489513397,
0.009414750151336193,
0.006128332111984491,
-0.08773498237133026,
0.030313747003674507,
-0.03220835700631142,
0.007826193235814571,
0.040049124509096146,
0.08482019603252411,
-0.02238553576171398,
-0.023391136899590492,
-0.007607584353536367,
0.007585723884403706,
0.027369815856218338,
-0.0023208963684737682,
0.015011134557425976,
-0.00312610506080091,
-0.009254436939954758,
0.004168140236288309,
0.03655138239264488,
-0.006208488717675209,
-0.029206128790974617,
0.049842797219753265,
-0.0018590852851048112,
0.02385750226676464,
0.024921398609876633,
-0.024994267150759697,
0.0011294785654172301,
-0.012890629470348358,
-0.051941439509391785,
-0.05838311091065407,
0.03733837604522705,
-0.01248255930840969,
0.005676540546119213,
0.03710519149899483,
-0.026728563010692596,
-0.011957898736000061,
-0.031246477738022804,
0.036726269870996475,
-0.038037922233343124,
0.007454558275640011,
-0.05721719563007355,
0.027136633172631264,
0.00876621063798666,
0.029832808300852776,
-0.006343297194689512,
-0.045412324368953705,
-0.017401257529854774,
-0.012409689836204052,
0.022706162184476852,
-0.008839080110192299,
-0.019252143800258636,
-0.03395722433924675,
-0.04765670746564865,
-0.031771138310432434,
0.02758842520415783,
-0.03249983489513397,
-0.024076109752058983,
0.03016800805926323,
0.0003087848599534482,
0.055264294147491455,
0.037250932306051254,
-0.026422511786222458,
-0.01445003878325224,
-0.006893462501466274,
0.05374860391020775,
-0.025664666667580605,
0.04512084648013115,
-0.04608272388577461,
0.03733837604522705,
-0.006226705852895975,
0.007935497909784317,
0.03410296514630318,
-0.013313272967934608,
-0.019674787297844887,
-0.048676881939172745,
0.054098378866910934,
0.006405236665159464,
-0.045674655586481094,
-0.010070576332509518,
0.013845221139490604,
-0.009990420192480087,
-0.0249505452811718,
-0.028972946107387543,
-0.02242925763130188,
-0.03427785262465477,
-0.026684841141104698,
0.04197287932038307,
0.00006916917482158169,
-0.03249983489513397,
-0.0033720401115715504,
-0.03229580074548721,
0.04780244827270508,
-0.07100412249565125,
0.02559179812669754,
0.035298027098178864,
-0.0143771693110466,
-0.02017030119895935,
0.0018108091317117214,
0.014639499597251415,
-0.0058077056892216206,
-0.054040081799030304,
-0.022035762667655945,
0.04343027248978615,
-0.02458619698882103,
0.019937118515372276,
-0.017197221517562866,
-0.04337197542190552,
-0.00453977519646287,
0.04252668842673302,
0.026990894228219986,
-0.011411377228796482,
0.003641657531261444,
0.026990894228219986,
-0.009312733076512814,
0.011119898408651352,
0.03961190581321716,
-0.03745496645569801,
-0.00560731440782547,
0.02996397204697132,
0.010974159464240074,
-0.012963498942553997,
0.008911950513720512,
-0.019033534452319145,
-0.010223602876067162,
-0.013393429107964039,
0.06185170263051987,
0.02327454462647438,
-0.043051350861787796,
0.04485851526260376,
0.006973619107156992,
-0.012708455324172974,
-0.016089603304862976,
0.03521058335900307,
0.011790298856794834,
-0.007877201773226261,
0.021992040798068047,
-0.02480480633676052,
0.01916470006108284,
-0.002158761490136385,
-0.013262264430522919,
-0.011943324469029903,
0.006285001523792744,
0.008620471693575382,
-0.05371945723891258,
-0.009669793769717216,
-0.019018961116671562,
-0.017984213307499886,
0.045616358518600464,
-0.022196074947714806,
-0.011855881661176682,
0.004098914097994566,
0.03308279067277908,
-0.014552055858075619,
-0.013524594716727734,
0.008977532386779785,
-0.010012281127274036,
0.03334512189030647,
-0.011855881661176682,
0.026918023824691772,
0.03844599425792694,
-0.0009855611715465784,
-0.04447959363460541,
0.04447959363460541,
0.01638108305633068,
-0.022283518686890602,
0.015710681676864624,
0.01573983021080494,
0.011892315931618214,
-0.0061501930467784405,
0.019966265186667442,
-0.022137779742479324,
0.026568250730633736,
-0.0034339791163802147,
0.03885406255722046,
-0.032937053591012955,
0.009524054825305939,
-0.04689886420965195,
-0.020607518032193184,
0.006004453636705875,
-0.0454997681081295,
0.006489036604762077,
0.02384292706847191,
-0.014318873174488544,
0.01789676956832409,
-0.06989650428295135,
0.018246544525027275,
0.030721817165613174,
-0.005920653697103262,
-0.029293572530150414,
-0.02132163941860199,
-0.02384292706847191,
-0.008933811448514462,
-0.03159625083208084,
-0.037513263523578644,
-0.026451658457517624,
0.0035123140551149845,
-0.08219689130783081,
-0.003138857427984476,
-0.009808246046304703,
0.04173969849944115,
-0.03739666938781738,
0.03739666938781738,
-0.03474421799182892,
-0.03331597521901131,
-0.012613724917173386,
0.006561906076967716,
0.008467446081340313,
0.052728429436683655,
0.006561906076967716,
-0.00861318502575159,
0.02190459705889225,
0.04477107152342796,
-0.008540315553545952,
-0.022574996575713158,
-0.00560731440782547,
0.03337426856160164,
-0.03760070353746414,
0.020461779087781906,
-0.008569463156163692,
0.03637649491429329,
-0.046315908432006836,
-0.00396046182140708,
-0.02565009333193302,
0.02716578170657158,
0.0549728125333786,
0.019703935831785202,
-0.004288374911993742,
0.05392349138855934,
0.011141759343445301,
-0.04232265427708626,
0.05342797935009003,
0.007746036630123854,
0.018596317619085312,
-0.0036380139645189047,
0.03521058335900307,
-0.03617246076464653,
0.0017397613264620304,
-0.06383375823497772,
-0.0010784697951748967,
0.030721817165613174,
-0.007294245529919863,
0.013371569104492664,
0.001790769980289042,
0.05643020570278168,
-0.03821280971169472,
-0.025737537071108818,
-0.00538506219163537,
-0.01722637005150318,
0.029089538380503654,
-0.07193685322999954,
0.011367655359208584,
-0.04908495023846626,
-0.0032445183023810387,
-0.03605587035417557,
-0.03200432285666466,
-0.015535795129835606,
0.03713434189558029,
-0.019470753148198128,
-0.019179275259375572,
-0.027515554800629616,
-0.020301466807723045,
-0.019354160875082016,
0.0008065752335824072,
0.014544769190251827,
-0.0283754151314497,
-0.04173969849944115,
-0.012052629142999649,
-0.0024939614813774824,
-0.04173969849944115,
-0.024236423894762993,
0.002395587507635355,
-0.0069189672358334064,
-0.03897065296769142,
-0.010187167674303055,
0.01358289085328579,
0.030721817165613174,
0.014865395613014698,
-0.037192635238170624,
-0.028287973254919052,
0.0015093112597241998,
0.027573850005865097,
0.05523514375090599,
-0.020520074293017387,
-0.02069496177136898,
-0.053632013499736786,
0.03206261619925499,
-0.017255516722798347,
-0.0025741180870682,
0.005017071031033993,
0.017649013549089432,
0.029993120580911636,
-0.006040888372808695,
-0.0369594544172287,
0.018610890954732895,
0.0643584132194519,
-0.002455705078318715,
0.05386519804596901,
0.04844370111823082,
0.03308279067277908,
0.002827339805662632,
0.009713515639305115,
0.01498198602348566,
-0.014078403823077679,
0.03232494741678238,
0.03226665034890175,
-0.001727009192109108,
-0.0020439918152987957,
0.029993120580911636,
-0.03075096383690834,
-0.06255125254392624,
-0.035676948726177216,
0.02438216283917427,
-0.004692801274359226,
-0.023128805682063103,
-0.040311455726623535,
0.031042443588376045,
-0.0044231838546693325,
-0.0069189672358334064,
0.011957898736000061,
0.01747412607073784,
-0.001742493943311274,
0.014544769190251827,
-0.0050207143649458885,
-0.00038438706542365253,
0.00021143564663361758,
-0.024250997230410576,
0.041623108088970184,
0.01240240316838026,
0.019864248111844063,
0.011353081092238426,
-0.07164537161588669,
-0.010354767553508282,
0.07351083308458328,
0.00640887999907136,
0.0296433474868536,
0.02627677284181118,
-0.035880982875823975,
-0.020811554044485092,
-0.005221105646342039,
0.028419137001037598,
0.02543148398399353,
0.047569263726472855,
0.006638418883085251,
-0.03815451264381409,
-0.03022630326449871,
0.05788759887218475,
-0.04424641281366348,
-0.017678160220384598,
0.0027508267667144537,
0.032150059938430786,
-0.012278525158762932,
-0.025198301300406456,
0.04360515996813774,
-0.06255125254392624,
0.026816006749868393,
0.030255451798439026,
-0.0006139262695796788,
-0.04695716127753258,
0.026947172358632088,
-0.013939951546490192,
0.04255583882331848,
0.031042443588376045,
0.0344235897064209,
-0.016439378261566162,
0.058004189282655716,
0.054477300494909286,
0.030080564320087433,
0.0378047414124012,
0.044158969074487686,
-0.023041361942887306,
-0.04995938763022423,
-0.0025467919185757637,
-0.022837327793240547,
-0.010391202755272388,
-0.02932272106409073,
-0.03905809670686722,
-0.015594091266393661,
0.02379920706152916,
-0.007877201773226261,
0.005038931965827942,
0.004113487899303436,
0.01680372655391693,
0.037775591015815735,
-0.0034266922157257795,
-0.014100264757871628,
0.005363201256841421,
0.028317119926214218,
0.01785304769873619,
0.025518927723169327,
-0.006412523332983255,
0.007356184534728527,
-0.01626449078321457,
-0.00021462369477376342,
-0.043459419161081314,
-0.021088456735014915,
0.0115862637758255,
-0.025081710889935493,
-0.013837934471666813,
0.03943701833486557,
-0.021103031933307648,
-0.051358483731746674,
0.02605816349387169,
-0.03885406255722046,
0.05293246731162071,
-0.020505500957369804,
-0.022312667220830917,
-0.007082923781126738,
0.018873222172260284,
-0.0071084280498325825,
-0.024615345522761345,
0.050046831369400024,
0.020607518032193184,
0.014610351994633675,
0.006146549247205257,
-0.002291748533025384,
0.02333284169435501,
-0.016395656391978264,
-0.02116132713854313,
-0.06255125254392624,
-0.0028473790735006332,
-0.0197476577013731,
-0.04602443054318428,
0.030984146520495415,
0.052728429436683655,
0.01652682200074196,
-0.005858714692294598,
-0.0188586488366127,
-0.014843534678220749,
-0.08674395084381104,
0.018129952251911163,
0.00832170620560646,
0.02031604014337063,
-0.017809325829148293,
-0.042993053793907166,
0.07922381162643433,
-0.03532717376947403,
0.25113773345947266,
0.10015195608139038,
0.03579353913664818,
0.03643479198217392,
-0.0017798396293073893,
0.048152219504117966,
0.039466165006160736,
-0.08377087116241455,
-0.000871246971655637,
0.014471899718046188,
0.008758923970162868,
-0.017517847940325737,
0.011207342147827148,
0.03754241019487381,
-0.006514540873467922,
0.04308049753308296,
-0.0447419248521328,
0.030342895537614822,
-0.024367589503526688,
-0.019368736073374748,
-0.019252143800258636,
0.04255583882331848,
0.03290790319442749,
-0.01026732474565506,
-0.0016614265041425824,
-0.010755551047623158,
0.0052575403824448586,
0.021511102095246315,
-0.013590177521109581,
-0.005709331948310137,
0.013014507479965687,
-0.012511707842350006,
0.05240780487656593,
-0.04791903868317604,
-0.042963907122612,
-0.004587140399962664,
0.0279090516269207,
-0.025300320237874985,
0.009181567467749119,
0.07275298982858658,
0.014420890249311924,
0.014246003702282906,
-0.040253158658742905,
-0.02779245935380459,
-0.020767832174897194,
0.01606045663356781,
-0.04590783640742302,
0.030284598469734192,
0.02742811106145382,
-0.04739437624812126,
0.01642480492591858,
-0.044887661933898926,
-0.005833210423588753,
-0.020884422585368156,
-0.07963187992572784,
-0.03937872499227524,
-0.010070576332509518,
-0.022618718445301056,
-0.021890023723244667,
0.04048633947968483,
0.06185170263051987,
0.0007337056449614465,
-0.0031989747658371925,
0.0004340294690337032,
0.01610417850315571,
0.008809932507574558,
-0.0006257675704546273,
0.053690310567617416,
-0.03625990450382233,
-0.026101885363459587,
-0.03334512189030647,
-0.024236423894762993,
0.003273666137829423,
-0.03354915603995323,
0.021773431450128555,
-0.010653533041477203,
-0.017663586884737015,
0.01395452581346035,
0.0008193273679353297,
-0.0515042208135128,
0.02194831892848015,
-0.016337361186742783,
-0.06762297451496124,
0.0009655219619162381,
0.05176655203104019,
0.03185858204960823,
-0.02353687584400177,
-0.018363134935498238,
-0.00554173206910491,
0.0240615364164114,
0.020782405510544777,
0.03550206124782562,
-0.009524054825305939,
-0.022458406165242195,
-0.04375089704990387
] |
1207_17 | Biosynthesis
In plants, nitrogen is first assimilated into organic compounds in the form of glutamate, formed from alpha-ketoglutarate and ammonia in the mitochondrion. For other amino acids, plants use transaminases to move the amino group from glutamate to another alpha-keto acid. For example, aspartate aminotransferase converts glutamate and oxaloacetate to alpha-ketoglutarate and aspartate. Other organisms use transaminases for amino acid synthesis, too.
Nonstandard amino acids are usually formed through modifications to standard amino acids. For example, homocysteine is formed through the transsulfuration pathway or by the demethylation of methionine via the intermediate metabolite S-adenosylmethionine, while hydroxyproline is made by a post translational modification of proline.
Microorganisms and plants synthesize many uncommon amino acids. For example, some microbes make 2-aminoisobutyric acid and lanthionine, which is a sulfide-bridged derivative of alanine. Both of these amino acids are found in peptidic lantibiotics such as alamethicin. However, in plants, 1-aminocyclopropane-1-carboxylic acid is a small disubstituted cyclic amino acid that is an intermediate in the production of the plant hormone ethylene.
Reactions
Amino acids undergo the reactions expected of the constituent functional groups.
Peptide bond formation | [
-0.029900092631578445,
-0.01636042818427086,
0.007595913019031286,
-0.008636909537017345,
-0.0052553508430719376,
0.0179454293102026,
0.019033437594771385,
-0.012310617603361607,
0.04800670966506004,
0.03237161785364151,
-0.010550999082624912,
-0.04540086165070534,
0.027374837547540665,
-0.042902469635009766,
0.005671749357134104,
0.009570447728037834,
-0.02076619304716587,
-0.03723407909274101,
-0.020940810441970825,
0.017931995913386345,
0.02901356667280197,
-0.0179454293102026,
-0.024688396602869034,
0.041021961718797684,
0.021746743470430374,
0.013768012635409832,
0.039786197245121,
0.0027267381083220243,
0.058134593069553375,
0.06705357879400253,
-0.017824538052082062,
0.02536000683903694,
-0.013109833933413029,
-0.05668391287326813,
-0.03916831687092781,
-0.037207212299108505,
0.010920384898781776,
0.0024446616880595684,
0.008999578654766083,
-0.02419140562415123,
0.04789924994111061,
-0.019382674247026443,
0.01020176149904728,
0.0158500038087368,
-0.03889967128634453,
0.0037005729973316193,
-0.012915067374706268,
-0.01936924271285534,
0.0004107317072339356,
0.02253924310207367,
0.012256888672709465,
-0.008865256793797016,
0.0030877285171300173,
0.052761711180210114,
0.008939133957028389,
-0.011974812485277653,
0.026071913540363312,
-0.01292178314179182,
-0.04343975707888603,
0.05786594748497009,
0.012619558721780777,
0.010315935127437115,
-0.00892570149153471,
-0.02710619382560253,
0.020094582810997963,
0.04827535152435303,
0.015675386413931847,
0.018523013219237328,
-0.002476563211530447,
-0.03296263515949249,
-0.05284230411052704,
0.0015421853167936206,
0.02506449818611145,
-0.01340534258633852,
-0.014829156920313835,
0.010698753409087658,
0.03548789024353027,
-0.026622634381055832,
0.021290048956871033,
-0.010517418384552002,
-0.01578284427523613,
0.044165097177028656,
0.024701828137040138,
0.004896039608865976,
-0.053084082901477814,
-0.016508182510733604,
-0.039410095661878586,
0.01695144549012184,
0.052573658525943756,
-0.0007148452568799257,
-0.011477821506559849,
0.044971030205488205,
-0.02024233713746071,
-0.02056470885872841,
0.01830809749662876,
0.020752759650349617,
-0.01759619079530239,
0.033365603536367416,
-0.015541063621640205,
-0.014520215801894665,
-0.00372743746265769,
-0.01934237778186798,
-0.025467464700341225,
0.047979842871427536,
-0.04190848767757416,
-0.0005079053225927055,
0.006470965687185526,
0.05442730337381363,
-0.033714838325977325,
-0.03368797525763512,
0.02276759035885334,
-0.013794876635074615,
0.007327268831431866,
-0.07382340729236603,
0.01198152918368578,
0.05039764195680618,
-0.009046591818332672,
0.045938149094581604,
-0.0688803568482399,
0.036696791648864746,
0.02386903204023838,
-0.01752903126180172,
0.03804001212120056,
0.009496570564806461,
0.02885238081216812,
0.0015186789678409696,
-0.04343975707888603,
0.03983992710709572,
-0.026448015123605728,
0.03438644856214523,
-0.021921362727880478,
-0.03344619646668434,
0.001961102243512869,
0.06313137710094452,
-0.008744366466999054,
0.012512100860476494,
-0.02173331193625927,
0.0317000076174736,
-0.008898837491869926,
-0.05166026949882507,
0.0253868717700243,
0.03838924691081047,
-0.028019584715366364,
0.08274239301681519,
0.03390289098024368,
0.034520771354436874,
-0.008838392794132233,
-0.02839568629860878,
-0.03951755538582802,
-0.0026595769450068474,
-0.03761018067598343,
-0.031968653202056885,
-0.0026528609450906515,
0.008878689259290695,
-0.02428543008863926,
0.0009368964238092303,
-0.030706025660037994,
-0.03175373747944832,
-0.014090385288000107,
-0.03500433266162872,
0.0022498946636915207,
0.011330067180097103,
0.028744922950863838,
-0.000542325375135988,
-0.019315514713525772,
0.029738906770944595,
-0.05112298205494881,
-0.010927100665867329,
-0.017891699448227882,
-0.04341289401054382,
0.005654959008097649,
-0.0011425771517679095,
-0.058295778930187225,
0.03898026421666145,
0.0036031894851475954,
0.06495815515518188,
0.06205679848790169,
-0.024177972227334976,
0.0020400164648890495,
-0.011786761693656445,
0.011068138293921947,
0.005759058985859156,
-0.04325170814990997,
0.060821034014225006,
0.04811416566371918,
0.01372771617025137,
-0.01162557490170002,
-0.0028660972602665424,
0.02625996433198452,
-0.0218273364007473,
-0.00012151950068073347,
0.03470882400870323,
-0.013069537468254566,
0.0013751222286373377,
-0.053701963275671005,
0.029900092631578445,
-0.0481947585940361,
0.04091450199484825,
-0.03379543498158455,
-0.041344333440065384,
-0.012297186069190502,
0.039248909801244736,
-0.012666570954024792,
-0.03151195868849754,
0.01911403052508831,
0.032102975994348526,
-0.026595769450068474,
0.03822806105017662,
0.016870852559804916,
0.03747585788369179,
0.06592527031898499,
-0.016870852559804916,
0.00015667409752495587,
0.02251238003373146,
-0.02694500796496868,
-0.013848605565726757,
-0.018133480101823807,
0.010591295547783375,
-0.03599831461906433,
-0.018093183636665344,
-0.014359029941260815,
-0.029604583978652954,
-0.006249334197491407,
0.00127522018738091,
0.01369413547217846,
0.003630053950473666,
0.03078661859035492,
0.02600475400686264,
-0.007004896178841591,
-0.0012021824950352311,
0.026139074936509132,
0.03521924838423729,
0.016320131719112396,
-0.009812227450311184,
0.010759198106825352,
-0.020094582810997963,
0.011316634714603424,
0.022176574915647507,
0.018899114802479744,
0.012700151652097702,
0.008905553258955479,
-0.021209456026554108,
0.025077931582927704,
0.008287671953439713,
0.036562468856573105,
0.03315068781375885,
-0.025856999680399895,
-0.03581026569008827,
-0.0263539906591177,
0.017193224281072617,
-0.08123798668384552,
0.03349992632865906,
0.06528052687644958,
0.018361827358603477,
0.0012794177746400237,
-0.03145822882652283,
0.027831533923745155,
-0.0007433887221850455,
-0.03487000986933708,
-0.05990764498710632,
0.005587798077613115,
0.037959419190883636,
-0.01515152957290411,
0.03903399407863617,
0.023304879665374756,
0.03833552077412605,
-0.04298306256532669,
0.05937035754323006,
-0.004355393350124359,
-0.007340701296925545,
-0.07484425604343414,
-0.02603161707520485,
-0.06845052540302277,
0.0005968937184661627,
-0.01704547181725502,
0.00033643480855971575,
0.02901356667280197,
-0.017878267914056778,
0.005779207218438387,
0.03715348616242409,
-0.03981306031346321,
-0.04000111296772957,
-0.06141205132007599,
0.02949712611734867,
0.007468307390809059,
0.05980018526315689,
0.005886664614081383,
0.05106925219297409,
-0.03597145155072212,
-0.0042546517215669155,
-0.013217291794717312,
0.023331744596362114,
-0.04056526720523834,
-0.016118649393320084,
0.027186786755919456,
0.01642758958041668,
0.014547080732882023,
-0.011021126061677933,
-0.01658877544105053,
-0.00014806909894105047,
-0.02632712572813034,
-0.01679025962948799,
-0.0080055957660079,
-0.007683222647756338,
-0.022915344685316086,
0.044191960245370865,
-0.019396107643842697,
0.009691337123513222,
0.03825492784380913,
0.02871805988252163,
0.04153238609433174,
0.021222887560725212,
-0.00875108316540718,
0.03269399330019951,
-0.047818657010793686,
0.0023455992341041565,
0.03503119572997093,
0.03841611370444298,
-0.0009813905926421285,
-0.055286966264247894,
-0.057328660041093826,
-0.02079305611550808,
-0.0032153346110135317,
-0.00004706519393948838,
0.01672309823334217,
0.049403656274080276,
0.0008500068797729909,
-0.07371595501899719,
0.005809429567307234,
0.006521336734294891,
-0.047335099428892136,
0.03438644856214523,
0.030061280354857445,
0.03151195868849754,
0.009342100471258163,
-0.014385893940925598,
-0.021357210353016853,
0.04343975707888603,
-0.055931709706783295,
-0.028530007228255272,
0.041962213814258575,
-0.02322428673505783,
0.0075354683212935925,
0.032935772091150284,
0.05410493165254593,
0.08424680680036545,
0.03078661859035492,
0.017193224281072617,
0.0060814316384494305,
-0.020363226532936096,
0.01914089545607567,
0.03581026569008827,
-0.016320131719112396,
0.022619836032390594,
-0.01173974946141243,
0.031834330409765244,
0.04129060357809067,
-0.008737650699913502,
0.010000278241932392,
0.0011274658609181643,
-0.004489715211093426,
-0.0024177972227334976,
-0.0401085689663887,
-0.03884594142436981,
0.01065845601260662,
0.0016697912942618132,
-0.0020450535230338573,
-0.015903733670711517,
0.011283054016530514,
-0.024930177256464958,
0.034520771354436874,
0.017287250608205795,
-0.02761661820113659,
-0.016642505303025246,
-0.014614241197705269,
-0.026689795777201653,
0.0317000076174736,
-0.001394430990330875,
0.004566950257867575,
-0.05695255845785141,
0.012841190211474895,
0.02793899178504944,
-0.0009746745345182717,
0.009886104613542557,
0.022686997428536415,
0.03312382474541664,
-0.023036235943436623,
0.004325170535594225,
-0.03143136575818062,
-0.0027737508062273264,
-0.0006485237390734255,
-0.05192891135811806,
0.030544839799404144,
-0.012834473513066769,
-0.02435259148478508,
-0.016279835253953934,
-0.0066153621301054955,
0.0039020562544465065,
-0.03285517916083336,
0.007804112508893013,
-0.019221488386392593,
0.007649641949683428,
0.020484115928411484,
0.028449414297938347,
-0.013586677610874176,
-0.006719461642205715,
-0.05824204906821251,
0.0024967114441096783,
0.05031704902648926,
0.007669790182262659,
0.0020668809302151203,
-0.008898837491869926,
0.004402406048029661,
-0.019073734059929848,
0.002454735804349184,
0.006474324036389589,
-0.020121445879340172,
-0.0000504757153976243,
-0.005926961544901133,
0.01167258806526661,
-0.029792634770274162,
-0.033231280744075775,
-0.020000556483864784,
0.02079305611550808,
-0.012532249093055725,
-0.022243734449148178,
0.030840348452329636,
-0.027307678014039993,
0.006316495593637228,
-0.0049464101903140545,
0.010362948291003704,
-0.004231145139783621,
-0.0012382816057652235,
0.010228625498712063,
-0.03124331310391426,
-0.007985447533428669,
0.048758912831544876,
-0.029577720910310745,
0.004083390813320875,
0.00745487492531538,
0.0008151670917868614,
0.003442003158852458,
-0.003020567586645484,
-0.0022935494780540466,
0.0024110812228173018,
0.006917586550116539,
0.055448152124881744,
0.028315093368291855,
-0.005762416869401932,
0.011296486482024193,
0.022257167845964432,
-0.03570280596613884,
0.02377500757575035,
-0.01125619001686573,
0.005967258010059595,
0.04190848767757416,
-0.004221071023494005,
-0.00343696610070765,
0.002993703121319413,
-0.0010838111629709601,
-0.001251713838428259,
-0.04840967431664467,
0.045454587787389755,
0.0036602765321731567,
-0.04615306481719017,
0.05598543956875801,
-0.033365603536367416,
-0.0028258005622774363,
0.01636042818427086,
0.049403656274080276,
0.006759758107364178,
-0.016615640372037888,
0.0006690918235108256,
-0.047039590775966644,
0.045132216066122055,
-0.035299841314554214,
-0.0101883290335536,
0.02545403316617012,
-0.03333873674273491,
-0.04225772246718407,
0.005117671098560095,
-0.012915067374706268,
0.025440599769353867,
-0.06334628909826279,
0.019167760387063026,
-0.047657471150159836,
0.009624176658689976,
0.03887280821800232,
-0.03328501060605049,
-0.020725896582007408,
-0.017609624192118645,
0.014184410683810711,
0.010436825454235077,
0.019973691552877426,
-0.00519826402887702,
-0.05582425370812416,
0.008945849724113941,
-0.03358051925897598,
-0.015339580364525318,
-0.0030071353539824486,
0.10493240505456924,
-0.02306309901177883,
-0.009919685311615467,
-0.01750216633081436,
-0.07280256599187851,
0.032102975994348526,
-0.018200641497969627,
0.0029550855979323387,
-0.0010519097559154034,
-0.002152511151507497,
0.006487756036221981,
0.017287250608205795,
-0.0004835594445466995,
-0.02887924574315548,
0.044487468898296356,
-0.00034084226354025304,
0.020833352580666542,
0.008798095397651196,
0.007757099810987711,
-0.0053896731697022915,
0.031323906034231186,
-0.021303480491042137,
-0.026636067777872086,
0.03285517916083336,
-0.04341289401054382,
0.018711064010858536,
0.02545403316617012,
-0.04421882703900337,
-0.00485238479450345,
-0.058456964790821075,
0.021142294630408287,
-0.033258143812417984,
0.002051769755780697,
-0.07801426202058792,
-0.003515880322083831,
-0.02380187064409256,
0.024379456415772438,
0.040860775858163834,
-0.02467496506869793,
-0.03409094363451004,
-0.02290191315114498,
0.0007719321292825043,
0.0040733166970312595,
-0.04873204603791237,
-0.04121001064777374,
-0.04029662162065506,
-0.011780045926570892,
0.009187629446387291,
-0.06237917020916939,
-0.010027142241597176,
0.024957040324807167,
0.006659016944468021,
0.052143827080726624,
-0.011236041784286499,
-0.04961857199668884,
0.004066600929945707,
0.028986703604459763,
0.03508492559194565,
0.004405763931572437,
0.05329899862408638,
-0.017475301399827003,
0.002572267781943083,
-0.03110899217426777,
0.023398904129862785,
0.04271442070603371,
0.0036837828811258078,
-0.04771120101213455,
0.019154326990246773,
0.026125643402338028,
0.0037375115789473057,
-0.012189728207886219,
-0.012686720117926598,
0.021424369886517525,
-0.03304322808980942,
-0.0174618698656559,
-0.04596501216292381,
-0.05104238912463188,
-0.05029018223285675,
-0.019906530156731606,
0.05539442226290703,
-0.00698474794626236,
-0.005456834100186825,
-0.016387293115258217,
0.007387713994830847,
0.030276194214820862,
-0.04303679242730141,
0.05818832293152809,
0.05362137034535408,
0.0097047695890069,
-0.02076619304716587,
-0.001982929650694132,
0.03368797525763512,
-0.005675107706338167,
-0.027831533923745155,
0.0005633131950162351,
0.0323447547852993,
-0.025870431214571,
0.0005112633807584643,
-0.013257588259875774,
-0.021303480491042137,
0.01220987644046545,
0.023519795387983322,
0.00694445101544261,
0.01640072464942932,
0.01419784314930439,
-0.02221687138080597,
-0.021034836769104004,
-0.00042563307215459645,
0.04902755469083786,
-0.005587798077613115,
0.005178115796297789,
0.02044381946325302,
-0.012391211465001106,
-0.004791940096765757,
0.014453055337071419,
-0.035622213035821915,
-0.05080060660839081,
-0.028180770576000214,
0.055448152124881744,
0.005816145800054073,
-0.036750517785549164,
0.029147889465093613,
-0.028771787881851196,
-0.03172687441110611,
0.008603328838944435,
-0.026219667866826057,
0.009570447728037834,
-0.01468140259385109,
0.02170644700527191,
-0.005661675240844488,
0.022404922172427177,
-0.010645024478435516,
-0.04784552380442619,
0.00899286288768053,
-0.01063830778002739,
-0.002575625665485859,
-0.006699313409626484,
-0.0006590176490135491,
0.005705330055207014,
-0.005839651916176081,
0.06603273004293442,
-0.039275772869586945,
-0.01700517348945141,
0.028180770576000214,
0.030974669381976128,
0.01337176188826561,
0.001058625872246921,
0.03777136653661728,
-0.026595769450068474,
0.03296263515949249,
-0.014265003614127636,
0.04360094293951988,
-0.04231145232915878,
-0.018039453774690628,
-0.02793899178504944,
0.02619280479848385,
0.04537399485707283,
-0.008133201859891415,
0.01023534219712019,
-0.007595913019031286,
0.0714593455195427,
0.021652717143297195,
-0.005305721890181303,
-0.03062543272972107,
0.04502476006746292,
0.0007026723469607532,
-0.014278436079621315,
-0.01998712494969368,
0.007293688599020243,
-0.037502720952034,
-0.01497691124677658,
-0.03855043649673462,
-0.03666992485523224,
0.022109413519501686,
0.03043738193809986,
-0.01149796973913908,
0.02302280254662037,
-0.05200950801372528,
0.00546690821647644,
0.04298306256532669,
0.0023204137105494738,
-0.03970560431480408,
0.02396305836737156,
-0.01371428370475769,
-0.05313781276345253,
-0.04220399633049965,
-0.04446060582995415,
-0.061626967042684555,
-0.003211976494640112,
-0.06216425448656082,
0.014251572079956532,
0.007898137904703617,
0.014399326406419277,
0.00871750246733427,
0.017676785588264465,
-0.02173331193625927,
-0.011860638856887817,
-0.02180047146975994,
0.01665593683719635,
-0.025977889075875282,
0.048597726970911026,
0.026367422193288803,
-0.00127522018738091,
0.03062543272972107,
0.05061255767941475,
-0.02713305875658989,
-0.034171536564826965,
0.00434867711737752,
0.03538043424487114,
-0.03930263966321945,
0.001035958994179964,
-0.035756535828113556,
0.021746743470430374,
-0.04123687744140625,
-0.043063655495643616,
-0.035138655453920364,
0.02115572616457939,
0.07151307165622711,
0.04983348771929741,
-0.017972292378544807,
0.10391155630350113,
0.05088119953870773,
-0.05405120179057121,
0.02529284544289112,
-0.01023534219712019,
0.04897382855415344,
0.00022016227012500167,
0.008556315675377846,
-0.023828735575079918,
-0.052734844386577606,
-0.03269399330019951,
0.0030591851100325584,
0.004600530955940485,
-0.007562332786619663,
0.014036656357347965,
-0.0003349656763020903,
0.05445416644215584,
-0.008845108561217785,
-0.0024681680370122194,
-0.024177972227334976,
0.013082969933748245,
0.020873650908470154,
-0.03521924838423729,
0.007575764786452055,
-0.04502476006746292,
-0.009053307585418224,
0.007750383578240871,
-0.04225772246718407,
-0.03487000986933708,
0.0016345317708328366,
-0.022781023755669594,
-0.030088143423199654,
-0.006061283405870199,
-0.00026234780671074986,
0.015232122503221035,
-0.017475301399827003,
-0.0020870291627943516,
-0.053057219833135605,
-0.02593759261071682,
0.010732333175837994,
0.0023640685249119997,
-0.036750517785549164,
-0.022243734449148178,
-0.0088921207934618,
0.0005607946659438312,
-0.03296263515949249,
-0.03535357117652893,
0.027509160339832306,
0.00816678162664175,
0.04811416566371918,
-0.01515152957290411,
-0.016064919531345367,
-0.00869735423475504,
0.01388890203088522,
0.07409205287694931,
-0.0027569604571908712,
-0.057651031762361526,
-0.03280144929885864,
-0.018375258892774582,
-0.007857841439545155,
-0.027321109548211098,
-0.0194095391780138,
0.03075975365936756,
0.0013163563562557101,
-0.033365603536367416,
-0.0465828962624073,
0.030383652076125145,
0.06119713559746742,
0.018993141129612923,
0.049564845860004425,
0.05128416791558266,
0.029604583978652954,
0.0263539906591177,
0.00532922800630331,
0.022136276587843895,
0.011612143367528915,
0.04540086165070534,
0.0025202177930623293,
-0.026152508333325386,
0.0013474182924255729,
0.026824118569493294,
-0.02315712533891201,
-0.023237718269228935,
-0.023076532408595085,
-0.01927521824836731,
0.021558692678809166,
-0.005681823473423719,
-0.005215054377913475,
0.0413980633020401,
0.007649641949683428,
-0.026448015123605728,
-0.006749683991074562,
0.015339580364525318,
-0.00017388412379659712,
0.003015530528500676,
0.01872449740767479,
0.01979907415807247,
-0.027401702478528023,
0.01571568287909031,
0.002783824922516942,
-0.019718479365110397,
0.027697211131453514,
0.03425212949514389,
-0.04599187895655632,
0.001224009902216494,
0.07382340729236603,
-0.015957461670041084,
-0.0021609063260257244,
0.04435314983129501,
-0.02807331271469593,
-0.009825659915804863,
-0.0501289963722229,
0.022686997428536415,
-0.02044381946325302,
0.062432900071144104,
0.010228625498712063,
-0.02839568629860878,
-0.06522680073976517,
0.010168180800974369,
-0.06173442304134369,
-0.011827058158814907,
0.043896451592445374,
0.013781444169580936,
-0.03406407684087753,
-0.011000977829098701,
0.04263382405042648,
-0.031323906034231186,
0.028476279228925705,
0.03358051925897598,
-0.020336361601948738,
-0.03581026569008827,
-0.001977892592549324,
0.0017898415680974722,
0.057060014456510544,
0.016803691163659096,
0.04666348919272423,
-0.0009696374763734639,
0.05123043805360794,
0.00674296822398901,
0.003928920719772577,
0.03906085714697838,
-0.015796275809407234,
-0.007898137904703617,
-0.03145822882652283,
0.022257167845964432,
-0.026797253638505936,
0.006897438317537308,
0.0007257589604705572,
-0.026609202846884727,
0.0013633690541610122,
0.03903399407863617,
-0.03833552077412605,
-0.011054706759750843,
0.01264642272144556,
0.029255347326397896,
0.017085768282413483,
0.03382229804992676,
0.00873093493282795,
0.03696543350815773,
0.015702249482274055,
0.015997758135199547,
0.02302280254662037,
0.007918286137282848,
-0.0022801172453910112,
-0.022458650171756744,
-0.0018570026149973273,
-0.05235874280333519,
0.014869453385472298,
0.04725450649857521,
-0.025427168235182762,
-0.036562468856573105,
0.044621791690588,
-0.0050941645167768,
-0.05415865778923035,
0.05727493017911911,
-0.0048087299801409245,
0.04217712953686714,
-0.051472216844558716,
-0.04816789552569389,
0.016870852559804916,
0.012270321138203144,
0.0007068698760122061,
-0.016467886045575142,
0.06388358026742935,
0.0013155167689546943,
-0.015541063621640205,
-0.024755557999014854,
-0.01762305572628975,
-0.005510563030838966,
-0.03384916111826897,
-0.015675386413931847,
-0.03828179091215134,
0.010678605176508427,
-0.0391414500772953,
-0.06538798660039902,
0.05980018526315689,
0.04421882703900337,
-0.014788860455155373,
0.011766613461077213,
-0.024983905255794525,
0.010866655968129635,
-0.06087476387619972,
-0.0021306839771568775,
-0.0010468726977705956,
0.006245976313948631,
-0.019584158435463905,
-0.03551475703716278,
0.07758443057537079,
-0.01807975023984909,
0.20481429994106293,
0.11089630424976349,
0.017582759261131287,
0.027831533923745155,
-0.004019588232040405,
0.03844297677278519,
0.03618636727333069,
-0.03255967050790787,
-0.005856442265212536,
0.027307678014039993,
0.009845808148384094,
-0.015917165204882622,
0.030195601284503937,
0.017958860844373703,
-0.010846507735550404,
0.04201594367623329,
-0.06076730415225029,
0.011531549505889416,
-0.0433323010802269,
-0.012908350676298141,
-0.024782422930002213,
0.00255044037476182,
0.015447038225829601,
-0.008616761304438114,
-0.03315068781375885,
-0.03188806027173996,
-0.014533648267388344,
-0.030491109937429428,
-0.030410517007112503,
-0.0005108436453156173,
0.012062122114002705,
-0.00636350829154253,
0.05316467583179474,
-0.03328501060605049,
-0.037046026438474655,
0.00017818663036450744,
0.011759897693991661,
-0.022875048220157623,
0.021773608401417732,
0.03446704521775246,
-0.03368797525763512,
-0.007199663203209639,
-0.024177972227334976,
-0.05754357576370239,
-0.00004685531530412845,
0.05488399788737297,
-0.04693213105201721,
0.03833552077412605,
0.06442086398601532,
-0.02522568590939045,
0.01443962287157774,
-0.0488395057618618,
-0.015527631156146526,
-0.015930598601698875,
-0.04174730181694031,
-0.05007527023553848,
0.012438223697245121,
-0.014305301010608673,
0.0014733452117070556,
0.045266538858413696,
0.03986679017543793,
-0.0025336500257253647,
-0.00017094583017751575,
0.0174618698656559,
0.006719461642205715,
0.02322428673505783,
0.03505806252360344,
0.0630776435136795,
-0.05190204828977585,
-0.04343975707888603,
0.006205679848790169,
-0.0510961152613163,
0.017488732933998108,
-0.05990764498710632,
0.03204924613237381,
-0.02131691202521324,
-0.056576456874608994,
0.011733032763004303,
0.025722676888108253,
-0.0672684907913208,
0.012277037836611271,
-0.0048087299801409245,
-0.0475500151515007,
0.015272419899702072,
0.0724264606833458,
0.03406407684087753,
0.020779624581336975,
-0.008838392794132233,
-0.056092895567417145,
0.0346013642847538,
0.03143136575818062,
0.017018606886267662,
0.019933395087718964,
-0.04773806408047676,
-0.03392975404858589
] |
1207_18 | Peptide bond formation
As both the amine and carboxylic acid groups of amino acids can react to form amide bonds, one amino acid molecule can react with another and become joined through an amide linkage. This polymerization of amino acids is what creates proteins. This condensation reaction yields the newly formed peptide bond and a molecule of water. In cells, this reaction does not occur directly; instead, the amino acid is first activated by attachment to a transfer RNA molecule through an ester bond. This aminoacyl-tRNA is produced in an ATP-dependent reaction carried out by an aminoacyl tRNA synthetase. This aminoacyl-tRNA is then a substrate for the ribosome, which catalyzes the attack of the amino group of the elongating protein chain on the ester bond. As a result of this mechanism, all proteins made by ribosomes are synthesized starting at their N-terminus and moving toward their C-terminus.
However, not all peptide bonds are formed in this way. In a few cases, peptides are synthesized by specific enzymes. For example, the tripeptide glutathione is an essential part of the defenses of cells against oxidative stress. This peptide is synthesized in two steps from free amino acids. In the first step, gamma-glutamylcysteine synthetase condenses cysteine and glutamic acid through a peptide bond formed between the side chain carboxyl of the glutamate (the gamma carbon of this side chain) and the amino group of the cysteine. This dipeptide is then condensed with glycine by glutathione synthetase to form glutathione.
In chemistry, peptides are synthesized by a variety of reactions. One of the most-used in solid-phase peptide synthesis uses the aromatic oxime derivatives of amino acids as activated units. These are added in sequence onto the growing peptide chain, which is attached to a solid resin support. Libraries of peptides are used in drug discovery through high-throughput screening.
The combination of functional groups allow amino acids to be effective polydentate ligands for metal–amino acid chelates.
The multiple side chains of amino acids can also undergo chemical reactions.
Catabolism | [
-0.01275118999183178,
0.003627803409472108,
0.0217380840331316,
0.014626153744757175,
-0.03387865424156189,
0.029941948130726814,
-0.02670925296843052,
-0.013835938647389412,
0.026005243882536888,
0.06879176944494247,
-0.02193923108279705,
-0.00923832692205906,
-0.001752839656546712,
-0.026967868208885193,
-0.0029417534824460745,
0.034769441932439804,
-0.004773614462465048,
-0.02550237998366356,
-0.012664984911680222,
-0.012463838793337345,
0.01918066293001175,
-0.010423649102449417,
-0.03152237832546234,
-0.013189399614930153,
0.01668071188032627,
0.04560256376862526,
0.02294495888054371,
0.0004678429395426065,
0.050458792597055435,
0.02797359600663185,
-0.006436657160520554,
-0.011371905915439129,
-0.00031204495462588966,
-0.06143559142947197,
-0.04560256376862526,
-0.06287234276533127,
0.04166585952043533,
-0.03195340558886528,
0.0084121935069561,
0.007923697121441364,
0.05425182357430458,
-0.021393263712525368,
0.028304049745202065,
-0.014496846124529839,
-0.05724027007818222,
-0.0008746238891035318,
-0.008325988426804543,
-0.025401806458830833,
-0.03195340558886528,
0.006472575943917036,
0.015243957750499249,
0.04304514452815056,
0.04100495204329491,
0.027441997081041336,
-0.01703990064561367,
-0.02202543616294861,
0.007866227068006992,
-0.022183477878570557,
-0.048820894211530685,
0.04106242209672928,
0.010926513001322746,
0.00961906649172306,
-0.0014008349971845746,
-0.02770061232149601,
0.008189496584236622,
0.07459625601768494,
0.009611883200705051,
-0.010050092823803425,
-0.013720998540520668,
-0.04623473808169365,
-0.0453152135014534,
-0.037757888436317444,
0.004076788667589426,
-0.011285700835287571,
-0.030430445447564125,
-0.02251393161714077,
0.03359130397439003,
-0.008340355940163136,
-0.02818910963833332,
0.004615571349859238,
-0.009396369569003582,
0.011802932247519493,
0.026091448962688446,
0.0040696049109101295,
-0.025473644956946373,
-0.01760023459792137,
-0.03701077774167061,
0.0529874786734581,
0.03416600450873375,
0.013268421404063702,
0.010919328778982162,
0.056349482387304306,
-0.012521308846771717,
-0.0362061969935894,
0.0119681591168046,
-0.007090379949659109,
0.0043030777014791965,
0.004536550026386976,
-0.0002527788747102022,
-0.00933889951556921,
0.015129017643630505,
0.013807203620672226,
-0.007111931219696999,
0.05683797970414162,
-0.009231142699718475,
0.03649354726076126,
0.003234491916373372,
0.016149112954735756,
-0.04382099211215973,
-0.01469799131155014,
0.01676691696047783,
-0.03169478848576546,
-0.007514222525060177,
-0.042441707104444504,
-0.023045530542731285,
0.05537249147891998,
0.0023311330005526543,
0.03439588472247124,
-0.04574624076485634,
0.019841570407152176,
-0.005736239720135927,
-0.007744102738797665,
0.040085431188344955,
0.0004514549800660461,
0.012176488526165485,
0.028792545199394226,
0.003250655485317111,
0.028462093323469162,
-0.031292498111724854,
0.012521308846771717,
-0.014044268056750298,
-0.010466751642525196,
-0.012133385986089706,
0.07172274589538574,
-0.005265702493488789,
0.004493447486311197,
-0.04140724241733551,
0.03137870132923126,
0.00420609675347805,
-0.04341869801282883,
0.041435979306697845,
0.0020132511854171753,
-0.025617320090532303,
0.06482633203268051,
0.018764004111289978,
0.05611960217356682,
-0.012090283446013927,
-0.04054519161581993,
-0.007930881343781948,
0.01691059209406376,
-0.05652189254760742,
-0.02123522013425827,
-0.0013855694560334086,
-0.008318804204463959,
-0.02719774842262268,
0.01961168833076954,
0.005017862655222416,
0.018232405185699463,
-0.025588585063815117,
-0.05583225190639496,
0.014266964979469776,
-0.013074459508061409,
0.021910496056079865,
0.0022467237431555986,
-0.024898942559957504,
0.018634697422385216,
-0.04169459640979767,
0.020559946075081825,
-0.016005437821149826,
-0.01925250142812729,
0.015215222723782063,
0.007252014707773924,
-0.035257939249277115,
0.03123502805829048,
0.0001581551623530686,
0.05525755137205124,
0.08252713829278946,
-0.01775827631354332,
0.03551655262708664,
0.01916629634797573,
0.013728182762861252,
-0.02293059043586254,
-0.01761460117995739,
0.06206776201725006,
0.05238404497504234,
0.024381712079048157,
-0.03384992107748985,
0.025976508855819702,
0.02080419473350048,
-0.008958159945905209,
-0.0020222309976816177,
0.028821280226111412,
-0.041091158986091614,
0.003216532524675131,
-0.03456829488277435,
0.04134977236390114,
-0.05126337707042694,
0.01515775267034769,
-0.05057373270392418,
-0.016077274456620216,
0.004159402102231979,
0.0032470636069774628,
-0.021278323605656624,
-0.031292498111724854,
-0.011343170888721943,
0.008950975723564625,
0.014317251741886139,
0.05071740970015526,
0.01117794495075941,
0.03629240021109581,
0.028720708563923836,
0.026737987995147705,
0.003358412068337202,
0.010186584666371346,
-0.018706534057855606,
-0.025602951645851135,
-0.030487915500998497,
-0.021680613979697227,
-0.00983458012342453,
-0.0007071522413752973,
-0.0059589361771941185,
-0.027657510712742805,
0.009863315150141716,
0.031062617897987366,
-0.03232695907354355,
0.018850209191441536,
0.03189593553543091,
0.001932433806359768,
0.011027085594832897,
-0.018203670158982277,
0.007765654474496841,
0.04281526431441307,
-0.042154356837272644,
0.04267158731818199,
0.004867003299295902,
0.0013855694560334086,
0.0383613258600235,
0.05238404497504234,
0.03830385580658913,
0.013081643730401993,
-0.012557228095829487,
0.0031788176856935024,
0.009547228924930096,
0.03146490827202797,
0.033706244081258774,
0.022830016911029816,
-0.02820347622036934,
-0.025732260197401047,
-0.03741306811571121,
0.020071450620889664,
-0.0585046149790287,
0.05689544975757599,
0.04695311561226845,
-0.0015687556006014347,
0.015028445050120354,
-0.047470346093177795,
0.04672323167324066,
0.021637512370944023,
-0.017557131126523018,
-0.05405067652463913,
0.020272595807909966,
0.009267061948776245,
-0.009087467566132545,
0.007959616370499134,
0.03321774676442146,
0.039510730654001236,
-0.012535677291452885,
0.04183826968073845,
-0.01804562844336033,
-0.02308863401412964,
-0.07178021967411041,
-0.019195031374692917,
-0.043504904955625534,
0.0016082662623375654,
-0.0011592807713896036,
0.005484807770699263,
0.038447532802820206,
-0.00933889951556921,
-0.000801888236310333,
0.03261430934071541,
-0.016565771773457527,
-0.04301640763878822,
-0.06258499622344971,
0.033907391130924225,
0.013476750813424587,
0.038878556340932846,
0.0011583827435970306,
-0.010330259799957275,
-0.0566655695438385,
0.022901855409145355,
-0.036033786833286285,
0.017226677387952805,
-0.021838657557964325,
-0.0329303964972496,
0.03123502805829048,
0.018792739138007164,
0.024180566892027855,
-0.0005509053007699549,
-0.012348898686468601,
0.01210465095937252,
-0.009877682663500309,
0.013340258970856667,
0.004152218345552683,
0.008541501127183437,
-0.05603339895606041,
0.041579656302928925,
-0.021694982424378395,
0.04382099211215973,
0.010811571963131428,
0.03083273582160473,
0.011357538402080536,
0.018548492342233658,
-0.01953985169529915,
0.01916629634797573,
-0.023921949788928032,
0.03798776865005493,
0.049309391528367996,
0.06511367857456207,
0.04453936591744423,
-0.05752762034535408,
-0.04252791404724121,
0.02805980108678341,
-0.008038637228310108,
-0.022671975195407867,
0.024740900844335556,
0.043361227959394455,
-0.016235318034887314,
-0.057987384498119354,
-0.00887913815677166,
-0.0049388413317501545,
-0.018519755452871323,
0.04063139855861664,
0.025660423561930656,
0.022743811830878258,
0.005039413925260305,
-0.018591593950986862,
-0.019410543143749237,
0.016206583008170128,
-0.044424425810575485,
-0.03502805903553963,
0.014575866982340813,
0.01597670279443264,
0.010782836936414242,
0.013103194534778595,
0.014130473136901855,
0.07735482603311539,
0.013024172745645046,
-0.00024379916430916637,
-0.007959616370499134,
0.008053004741668701,
0.002675954019650817,
0.032355695962905884,
0.006019998341798782,
0.016062907874584198,
-0.025588585063815117,
0.025229396298527718,
0.014367537572979927,
-0.003248859429731965,
-0.004644306842237711,
0.022312786430120468,
0.014116105623543262,
0.027499467134475708,
-0.03600504994392395,
0.004274342674762011,
-0.02655120939016342,
-0.02202543616294861,
0.013685080222785473,
-0.005154354032129049,
0.02287312038242817,
-0.013864673674106598,
0.02991321310400963,
0.04198194667696953,
-0.03295913338661194,
-0.009547228924930096,
-0.03991302102804184,
-0.040947481989860535,
0.0522691011428833,
0.003324289107695222,
0.024755267426371574,
-0.03884982317686081,
-0.007916513830423355,
0.025373071432113647,
0.03793029859662056,
0.0052980296313762665,
0.04629220813512802,
0.03712571784853935,
-0.03784409537911415,
0.05540122464299202,
-0.029295409098267555,
0.007273565977811813,
0.003850500099360943,
-0.0533897690474987,
0.029884478077292442,
-0.016953695565462112,
-0.0013029561378061771,
-0.01256441231817007,
0.017858849838376045,
0.022341521456837654,
-0.019855936989188194,
-0.01331152394413948,
-0.023835744708776474,
-0.0029848560225218534,
0.01108455564826727,
0.011781381443142891,
0.016881857067346573,
0.006023590452969074,
-0.05183807760477066,
0.020401904359459877,
0.004906514193862677,
0.019870305433869362,
-0.0006169061525724828,
-0.014640521258115768,
-0.02351965941488743,
-0.004019318614155054,
-0.007571692578494549,
0.021896127611398697,
-0.05091855302453041,
0.02739889547228813,
-0.007894962094724178,
-0.0012194447917863727,
-0.05238404497504234,
-0.05603339895606041,
-0.024036891758441925,
0.004306669346988201,
-0.0014241822063922882,
-0.017499661073088646,
0.011558684520423412,
-0.01011474709957838,
-0.004105524159967899,
0.011379090137779713,
0.005208232440054417,
-0.002234152052551508,
-0.01583302766084671,
0.011939424090087414,
-0.04873468726873398,
0.0007767450297251344,
0.03784409537911415,
-0.02982700802385807,
-0.008627706207334995,
-0.01604853942990303,
-0.023893214762210846,
-0.028146006166934967,
0.00965498574078083,
-0.046838171780109406,
0.010172217153012753,
-0.024970781058073044,
0.048246193677186966,
0.0423555001616478,
-0.0013810795499011874,
-0.014913504011929035,
0.005017862655222416,
-0.023246675729751587,
0.02741326205432415,
0.008857587352395058,
0.008390641771256924,
0.015215222723782063,
-0.028806913644075394,
-0.007715367712080479,
0.006109795533120632,
0.001345160766504705,
-0.016350258141756058,
-0.04313134774565697,
0.034482091665267944,
-0.012269877828657627,
-0.01683875359594822,
0.061895351856946945,
-0.032844193279743195,
0.011716727167367935,
-0.017585866153240204,
0.04054519161581993,
0.0022754587698727846,
-0.0369245707988739,
0.006027182098478079,
-0.0233759842813015,
0.00045437339576892555,
-0.0308902058750391,
-0.0049927192740142345,
0.022312786430120468,
-0.029568392783403397,
-0.025243764743208885,
-0.028361519798636436,
0.020976604893803596,
0.0009725027484819293,
-0.06379187107086182,
-0.02080419473350048,
-0.027025338262319565,
0.010502669960260391,
0.019137561321258545,
-0.023965053260326385,
0.009690904058516026,
0.003979808185249567,
0.0257753636687994,
0.007338219787925482,
0.02698223665356636,
-0.04586118087172508,
-0.05491273105144501,
-0.016709446907043457,
-0.02386447973549366,
-0.032125815749168396,
0.0005437214858829975,
0.07942374795675278,
-0.024755267426371574,
-0.07695253193378448,
0.007097563706338406,
-0.04770022630691528,
0.024338608607649803,
0.026881663128733635,
0.010373362340033054,
-0.0016423892229795456,
-0.03609125688672066,
0.004787981975823641,
0.03655101731419563,
-0.031924668699502945,
-0.04241297021508217,
0.048677217215299606,
0.02570352517068386,
0.018275508657097816,
0.003961848560720682,
-0.05189554765820503,
0.03226948902010918,
0.033275216817855835,
0.017672071233391762,
-0.02159440889954567,
0.05474032089114189,
-0.03770041838288307,
0.007499855011701584,
0.00994233600795269,
-0.0354878194630146,
-0.03695330768823624,
-0.0026418310590088367,
0.03663722053170204,
-0.04232676699757576,
0.012305796146392822,
-0.0603436604142189,
-0.010409281589090824,
0.042010679841041565,
0.044912923127412796,
0.053792063146829605,
-0.01182448398321867,
-0.01438190508633852,
-0.026148919016122818,
-0.003322493052110076,
-0.024740900844335556,
-0.004130667075514793,
-0.07580313086509705,
-0.028821280226111412,
-0.038447532802820206,
0.0015490001533180475,
-0.028232211247086525,
0.0014169984497129917,
-0.008706727996468544,
0.00845529604703188,
0.06953888386487961,
0.010610426776111126,
-0.018591593950986862,
0.01953985169529915,
-0.003922337666153908,
0.05838967487215996,
0.007043685298413038,
0.022772546857595444,
-0.020717989653348923,
-0.020962238311767578,
-0.02647937275469303,
0.04448189586400986,
-0.0358039028942585,
-0.01612037792801857,
-0.013347442261874676,
-0.015330162830650806,
0.04902203753590584,
-0.020545579493045807,
-0.027039706707000732,
-0.004956800490617752,
0.027039706707000732,
-0.04166585952043533,
0.00994233600795269,
-0.05468285083770752,
-0.04979788511991501,
-0.04028657451272011,
-0.031148822978138924,
0.038246385753154755,
-0.014784196391701698,
-0.037183187901973724,
-0.018922047689557076,
-0.0070867883041501045,
0.005757790990173817,
-0.10103252530097961,
0.036407340317964554,
0.05655062943696976,
0.0009168285178020597,
-0.027513835579156876,
-0.0164651982486248,
0.04657955840229988,
-0.03379245102405548,
-0.05761382728815079,
-0.005790117662400007,
0.03566022962331772,
-0.03991302102804184,
-0.0119681591168046,
-0.037959035485982895,
-0.04393593221902847,
-0.028993692249059677,
0.02997068502008915,
0.024525387212634087,
0.016149112954735756,
0.039165906608104706,
0.002738812007009983,
-0.0010551160667091608,
0.0037571112625300884,
0.05583225190639496,
-0.009468207135796547,
0.02699660323560238,
-0.01007882785052061,
-0.010833123698830605,
-0.012205223552882671,
-0.035688962787389755,
-0.058906905353069305,
-0.05034385249018669,
-0.006113387178629637,
0.05959654599428177,
-0.007187360897660255,
-0.01584739424288273,
0.03247063606977463,
-0.002006067428737879,
-0.013261237181723118,
-0.006856907624751329,
0.011752646416425705,
-0.0168243870139122,
-0.010330259799957275,
0.00253946240991354,
-0.0030674694571644068,
0.02066051959991455,
-0.00002138293712050654,
-0.012226774357259274,
0.009417921304702759,
-0.01441782433539629,
0.005707504227757454,
-0.009389186277985573,
-0.029079897329211235,
0.006562373135238886,
-0.03712571784853935,
0.060688480734825134,
-0.001966556767001748,
-0.011673624627292156,
-0.03847626596689224,
0.041148629039525986,
0.0009734007180668414,
-0.0032740028109401464,
0.008907873183488846,
0.012708087451756,
-0.008045821450650692,
-0.017772644758224487,
0.04471177980303764,
0.0055710128508508205,
-0.010028541088104248,
-0.033562567085027695,
0.021206485107541084,
0.01633588969707489,
-0.017542764544487,
0.021608777344226837,
-0.009985438548028469,
0.030947675928473473,
0.0002763506199698895,
-0.006874866783618927,
-0.027039706707000732,
0.01359887421131134,
-0.010236870497465134,
0.022571401670575142,
-0.03267177939414978,
0.025258131325244904,
-0.045343950390815735,
0.012492573820054531,
-0.012578779831528664,
-0.04580371081829071,
0.05097602307796478,
0.04120609909296036,
0.007938064634799957,
0.011709542945027351,
-0.036694690585136414,
0.010143482126295567,
0.009741190820932388,
0.007230463437736034,
-0.0541081465780735,
0.0390797033905983,
-0.043361227959394455,
-0.03422347456216812,
-0.012945151887834072,
0.0014295700239017606,
-0.05111970007419586,
0.001603776472620666,
-0.04134977236390114,
0.01860596239566803,
-0.009827395901083946,
0.01689622551202774,
-0.037671685218811035,
0.014037084765732288,
-0.0038181731943041086,
-0.02910863235592842,
-0.010567324236035347,
0.01576118916273117,
-0.011802932247519493,
0.029568392783403397,
-0.000733193417545408,
-0.054079413414001465,
-0.0028519562911242247,
0.05382079631090164,
-0.036608487367630005,
-0.047125525772571564,
0.0019306378671899438,
0.04772895947098732,
-0.04083254188299179,
0.019913407042622566,
-0.00905873253941536,
0.038102708756923676,
-0.04879215732216835,
-0.016795651987195015,
-0.0306890606880188,
0.055717311799526215,
0.056349482387304306,
0.05063120275735855,
-0.018778372555971146,
0.08419377356767654,
0.015574411489069462,
-0.059481605887413025,
0.04295893758535385,
-0.00845529604703188,
0.014856033958494663,
-0.00966216903179884,
0.012686535716056824,
-0.0406026616692543,
-0.03031550534069538,
-0.02591903880238533,
-0.015100282616913319,
-0.013699447736144066,
0.025028251111507416,
0.017514029517769814,
-0.00799553468823433,
0.04672323167324066,
-0.0314074382185936,
0.012061548419296741,
-0.020559946075081825,
-0.019367441534996033,
0.04528648033738136,
-0.049826622009277344,
-0.007079604081809521,
-0.02655120939016342,
-0.015660615637898445,
-0.014310067519545555,
-0.050889819860458374,
-0.04916571453213692,
-0.024094361811876297,
-0.005721872206777334,
-0.031493641436100006,
-0.004999903030693531,
-0.0020312105771154165,
0.036119990050792694,
-0.003430249635130167,
-0.005531501956284046,
-0.07517095655202866,
-0.014173576608300209,
0.033562567085027695,
0.0059733036905527115,
-0.04433822259306908,
0.0010048296535387635,
-0.01604853942990303,
-0.007765654474496841,
-0.017154840752482414,
-0.02186739258468151,
0.04238423705101013,
0.01719794236123562,
-0.004558101296424866,
-0.03683836758136749,
-0.01705426722764969,
-0.007758470252156258,
-0.0008562154835090041,
0.05005650222301483,
-0.05925172567367554,
-0.016565771773457527,
-0.04815998673439026,
0.005538685712963343,
-0.029065528884530067,
0.024381712079048157,
-0.006598291918635368,
0.015516940504312515,
-0.016867488622665405,
0.014152024872601032,
-0.026896031573414803,
0.044568102806806564,
0.053073685616254807,
-0.007478303276002407,
0.038734883069992065,
0.00505737354978919,
0.0023957870434969664,
0.00045167948701418936,
-0.004511407110840082,
0.01833297871053219,
-0.011774197220802307,
0.043275024741888046,
0.003342248499393463,
0.0012490778462961316,
0.01211183425039053,
0.001800432102754712,
-0.0226576067507267,
-0.019266868010163307,
0.012514125555753708,
0.0022126007825136185,
-0.027010971680283546,
-0.00027298321947455406,
0.01054577250033617,
0.037240657955408096,
0.026235124096274376,
-0.002702892990782857,
-0.0038038056809455156,
-0.006652169860899448,
0.0018246773397549987,
0.008613338693976402,
0.018491020426154137,
0.007111931219696999,
0.022413359954953194,
-0.01760023459792137,
0.010962431319057941,
-0.022312786430120468,
0.026019610464572906,
0.01599106937646866,
-0.009906417690217495,
0.03833259269595146,
0.09844636917114258,
0.020775459706783295,
0.01711173728108406,
0.0023742355406284332,
-0.04120609909296036,
-0.0058870986104011536,
-0.04744160920381546,
0.03054538555443287,
-0.04376352205872536,
0.06407921761274338,
0.002966896630823612,
-0.02017202414572239,
-0.07953868806362152,
0.048274926841259,
-0.04097621887922287,
0.013261237181723118,
0.010732551105320454,
0.021781187504529953,
-0.029654597863554955,
-0.050602469593286514,
0.044912923127412796,
-0.006695272866636515,
0.028146006166934967,
0.060458600521087646,
-0.02805980108678341,
-0.015646249055862427,
0.0390797033905983,
0.004338996484875679,
0.02662304788827896,
0.04241297021508217,
0.01739908754825592,
-0.00983458012342453,
0.07086069881916046,
0.012909232638776302,
0.012614698149263859,
0.0730445608496666,
0.030372975394129753,
-0.04103368893265724,
-0.04373478516936302,
0.02883564867079258,
-0.05384953320026398,
0.013196583837270737,
-0.043993402272462845,
-0.013649160973727703,
0.015143385156989098,
0.040660131722688675,
-0.054998934268951416,
-0.03706824779510498,
0.03373497724533081,
0.025760995224118233,
0.026594312861561775,
0.026148919016122818,
0.007040093652904034,
0.042987674474716187,
0.02770061232149601,
0.010919328778982162,
0.022255316376686096,
0.006619843188673258,
-0.0006164571968838573,
-0.025013882666826248,
0.005703912582248449,
-0.01132880337536335,
-0.0009437676635570824,
0.020057082176208496,
-0.03430968150496483,
-0.0449991300702095,
0.012959519401192665,
-0.011192312464118004,
-0.05672303959727287,
0.017571499571204185,
-0.01745655946433544,
0.0746537297964096,
-0.02919483743607998,
-0.03715445473790169,
-0.01090496126562357,
0.020416270941495895,
0.03307407349348068,
0.008907873183488846,
0.06241258606314659,
0.02343345433473587,
0.0014556112000718713,
0.0006811110652051866,
-0.011989710852503777,
0.04103368893265724,
-0.005351908039301634,
-0.004410834051668644,
-0.02705407328903675,
-0.004759246949106455,
-0.030717795714735985,
-0.05732647702097893,
0.06706766784191132,
0.02953965775668621,
0.011371905915439129,
0.021853026002645493,
-0.02889311872422695,
0.007621978875249624,
-0.057843707501888275,
0.003796621924266219,
-0.006964663974940777,
-0.001767207169905305,
0.004410834051668644,
-0.01939617656171322,
0.07678012549877167,
-0.057412680238485336,
0.2436734437942505,
0.08655004948377609,
0.05054499953985214,
0.01267216820269823,
-0.0005176803679205477,
0.01583302766084671,
0.00614212267100811,
-0.051953017711639404,
0.001405324786901474,
-0.01136472262442112,
0.004655082244426012,
-0.0000651590307825245,
0.01647956669330597,
-0.00920240767300129,
0.0005621299496851861,
0.03479817509651184,
-0.0394819937646389,
0.012923600152134895,
-0.04594738781452179,
-0.027585672214627266,
-0.014712358824908733,
-0.00979866087436676,
0.024410447105765343,
0.003940297290682793,
-0.014913504011929035,
-0.020976604893803596,
0.000694131653290242,
-0.014403456822037697,
-0.021149015054106712,
0.009963887743651867,
0.006174449343234301,
-0.050659939646720886,
0.04160838946700096,
-0.03215454891324043,
-0.01839044876396656,
0.0168243870139122,
0.015516940504312515,
-0.03215454891324043,
0.010172217153012753,
0.053504712879657745,
-0.027513835579156876,
-0.02053121104836464,
0.007237647194415331,
-0.04632094129920006,
-0.0033655958250164986,
0.0023742355406284332,
-0.05588972195982933,
0.055429961532354355,
0.038045238703489304,
-0.049251921474933624,
0.006063100881874561,
-0.05540122464299202,
0.015416367910802364,
-0.005969712045043707,
-0.0660906732082367,
-0.06195282191038132,
0.03226948902010918,
-0.022485196590423584,
-0.01150121446698904,
0.0654585063457489,
0.021278323605656624,
0.009784293361008167,
-0.001542714424431324,
0.019841570407152176,
0.017154840752482414,
0.02705407328903675,
-0.0038433163426816463,
0.06315969675779343,
-0.051177170127630234,
-0.018218038603663445,
0.015818659216165543,
-0.05795864760875702,
0.009848947636783123,
-0.04436695575714111,
0.032499369233846664,
-0.02323230914771557,
-0.04758528620004654,
0.05361965298652649,
0.035688962787389755,
-0.03818891569972038,
0.0038971947506070137,
-0.015215222723782063,
-0.04367731511592865,
0.012880497612059116,
0.0423555001616478,
0.05304494872689247,
0.00752859003841877,
-0.01895078271627426,
-0.016422096639871597,
0.03232695907354355,
0.01840481534600258,
0.021824290975928307,
-0.03186719864606857,
-0.04810251668095589,
-0.010502669960260391
] |
1207_19 | Catabolism
Degradation of an amino acid often involves deamination by moving its amino group to alpha-ketoglutarate, forming glutamate. This process involves transaminases, often the same as those used in amination during synthesis. In many vertebrates, the amino group is then removed through the urea cycle and is excreted in the form of urea. However, amino acid degradation can produce uric acid or ammonia instead. For example, serine dehydratase converts serine to pyruvate and ammonia. After removal of one or more amino groups, the remainder of the molecule can sometimes be used to synthesize new amino acids, or it can be used for energy by entering glycolysis or the citric acid cycle, as detailed in image at right.
Complexation
Amino acids are bidentate ligands, forming transition metal amino acid complexes.
Chemical analysis
The total nitrogen content of organic matter is mainly formed by the amino groups in proteins. The Total Kjeldahl Nitrogen (TKN) is a measure of nitrogen widely used in the analysis of (waste) water, soil, food, feed and organic matter in general. As the name suggests, the Kjeldahl method is applied. More sensitive methods are available.
See also
Amino acid dating
Beta-peptide
Degron
Erepsin
Homochirality
Hyperaminoacidemia
Leucines
Miller–Urey experiment
Nucleic acid sequence
RNA codon table
Notes
References
Further reading
External links
Nitrogen cycle
Zwitterions | [
-0.007751396391540766,
0.0033013266511261463,
0.020083798095583916,
0.018114523962140083,
-0.021913407370448112,
0.028770947828888893,
0.003372904844582081,
-0.033826813101768494,
-0.006648044567555189,
0.04988826438784599,
-0.004692737013101578,
-0.056480444967746735,
-0.0002708187676034868,
-0.0421508364379406,
-0.0221787691116333,
-0.022360334172844887,
-0.016480445861816406,
-0.025335194543004036,
-0.027025138959288597,
-0.0002839123480953276,
0.036033518612384796,
0.01923184283077717,
-0.027793295681476593,
0.011710893362760544,
0.02495810016989708,
0.028435753658413887,
0.01284916140139103,
-0.009217876940965652,
0.05449720472097397,
0.05513966083526611,
-0.02367318421602249,
-0.0006738826632499695,
-0.01747206598520279,
-0.03016759641468525,
-0.007835195399820805,
-0.028184356167912483,
0.025055864825844765,
-0.017136869952082634,
0.009867317974567413,
0.0001335544657194987,
0.0324581004679203,
-0.03349161893129349,
-0.0160614512860775,
0.016522346064448357,
-0.01344273705035448,
0.022779328748583794,
-0.015125697478652,
-0.013896647840738297,
-0.023254189640283585,
0.046368714421987534,
-0.00420391047373414,
0.006016061175614595,
0.02127094939351082,
0.006155726034194231,
-0.006871507968753576,
-0.04293295741081238,
-0.00320356129668653,
0.014944133348762989,
-0.0585474818944931,
0.029636871069669724,
0.04784915968775749,
0.012409217655658722,
-0.006602653302252293,
-0.029134076088666916,
0.042849160730838776,
0.060167595744132996,
-0.0013835544232279062,
-0.021606143563985825,
0.006773742847144604,
-0.043240223079919815,
-0.05315642058849335,
0.008952513337135315,
-0.010712290182709694,
-0.027444133535027504,
-0.030810054391622543,
0.040335193276405334,
0.024622904136776924,
-0.02856145054101944,
0.0005141410510987043,
-0.0027723461389541626,
-0.0041061448864638805,
0.022653630003333092,
0.04265362769365311,
0.01955307088792324,
-0.027513965964317322,
0.0017781074857339263,
-0.033212289214134216,
0.04486033320426941,
0.042486030608415604,
-0.0015974161215126514,
-0.010544692166149616,
0.05703910440206528,
-0.03986033424735069,
-0.01075418945401907,
0.014022345654666424,
-0.007758379448205233,
-0.01091480441391468,
0.028938546776771545,
-0.003756982972845435,
-0.014106144197285175,
0.022891061380505562,
-0.0052094971761107445,
-0.05134078115224838,
0.03337988629937172,
-0.04533519223332405,
-0.005946228746324778,
0.00540851941332221,
0.03153631091117859,
-0.02986033447086811,
-0.014189943671226501,
0.03863128274679184,
-0.047513965517282486,
0.025377094745635986,
-0.03938547149300575,
0.008638267405331135,
0.024008378386497498,
-0.014999999664723873,
0.015181563794612885,
-0.025405026972293854,
0.021871507167816162,
0.05125698074698448,
-0.041675977408885956,
0.006682960782200098,
0.018854748457670212,
0.038491617888212204,
0.023854747414588928,
-0.01903631165623665,
0.026620110496878624,
-0.008512569591403008,
0.008568434976041317,
-0.04136871173977852,
-0.034189943224191666,
-0.018016759306192398,
0.03581005334854126,
0.012520949356257915,
-0.002882332308217883,
-0.03801675885915756,
0.06061452254652977,
-0.021801674738526344,
-0.019972065463662148,
0.05717876926064491,
0.03988826647400856,
-0.036145251244306564,
0.08189943432807922,
-0.008931564167141914,
0.03754189610481262,
-0.03187150880694389,
-0.011571228504180908,
-0.00039368015131913126,
0.011689943261444569,
-0.06189943850040436,
-0.003956005442887545,
0.01857541874051094,
-0.00036421959521248937,
-0.0033449719194322824,
0.007185753900557756,
-0.01053770910948515,
0.0053526535630226135,
-0.033715084195137024,
-0.03452513739466667,
-0.03918994218111038,
0.0030988126527518034,
0.013463686220347881,
-0.01837988756597042,
-0.05731843411922455,
0.035474859178066254,
-0.03460893779993057,
0.011543295346200466,
-0.0015406772727146745,
-0.04522346332669258,
0.005502793006598949,
0.0006708274595439434,
-0.04553072527050972,
0.029748601838946342,
0.02029329538345337,
0.038184355944395065,
0.092290498316288,
-0.032653629779815674,
0.035949718207120895,
0.03310055658221245,
0.02174580842256546,
-0.036061450839042664,
-0.03756983205676079,
0.06268156319856644,
0.036731842905282974,
0.023952512070536613,
-0.030586590990424156,
-0.006176675669848919,
0.03181564062833786,
0.000704870792105794,
-0.0027217178139835596,
0.036927372217178345,
-0.012856144458055496,
0.0007677199319005013,
-0.08044692128896713,
0.049078211188316345,
-0.012898043729364872,
0.03743016719818115,
-0.024008378386497498,
-0.013400837779045105,
-0.015418993309140205,
0.023603351786732674,
-0.01798882521688938,
-0.03466480225324631,
0.014245809055864811,
-0.0009436102700419724,
0.005618016701191664,
0.03860335052013397,
0.01502793189138174,
0.07335194945335388,
0.047821227461099625,
0.01034217793494463,
0.01990223303437233,
0.01547485962510109,
-0.06363128125667572,
-0.023812849074602127,
0.01688547432422638,
0.009203909896314144,
-0.024245809763669968,
-0.016675977036356926,
-0.012604747898876667,
-0.014664803631603718,
-0.025530725717544556,
0.00981843564659357,
0.03597765043377876,
0.010775139555335045,
0.03365921601653099,
0.03541899472475052,
0.002636173041537404,
-0.027220670133829117,
0.030223462730646133,
0.038100555539131165,
0.0037290500476956367,
-0.0010448673274368048,
0.005460893735289574,
-0.0015048881759867072,
0.053379885852336884,
0.03122904896736145,
0.028351953253149986,
-0.008931564167141914,
0.024162009358406067,
0.007388267666101456,
0.03600558638572693,
-0.005499301478266716,
0.027458099648356438,
0.0403631255030632,
-0.0324581004679203,
-0.016606144607067108,
-0.01030726172029972,
0.028575418516993523,
-0.03564245626330376,
0.031201116740703583,
0.051117315888404846,
0.01979050226509571,
-0.018519552424550056,
-0.020670389756560326,
0.01857541874051094,
-0.012367317453026772,
0.004399441182613373,
-0.05382681265473366,
-0.017611730843782425,
0.007039105985313654,
0.025712288916110992,
0.002493016654625535,
0.03315642476081848,
0.0361173152923584,
0.0059811449609696865,
0.029636871069669724,
0.0024371508043259382,
-0.023184357210993767,
-0.0681564211845398,
-0.03960893675684929,
-0.05955307185649872,
-0.027653630822896957,
-0.008533518761396408,
-0.015181563794612885,
0.03296089172363281,
-0.026201115921139717,
-0.017290502786636353,
0.015642456710338593,
-0.039078209549188614,
-0.03648044541478157,
-0.02495810016989708,
0.025181563571095467,
0.01567039079964161,
0.05653630942106247,
-0.025013964623212814,
0.04416200891137123,
-0.03787709400057793,
-0.04544692486524582,
-0.037318434566259384,
0.016703909263014793,
-0.04405027627944946,
-0.006215083412826061,
0.03980446606874466,
0.00272870110347867,
0.004905725829303265,
-0.020824020728468895,
-0.004472765140235424,
-0.025251396000385284,
-0.03863128274679184,
-0.011878491379320621,
0.001563372788950801,
0.01212988793849945,
-0.015405027195811272,
0.0603351928293705,
-0.032932959496974945,
0.028966479003429413,
0.02417597733438015,
0.006089385133236647,
0.01599161885678768,
-0.014413407072424889,
-0.013966480270028114,
0.04765363037586212,
-0.026438545435667038,
0.004916200879961252,
0.04768156260251999,
0.03743016719818115,
0.023128490895032883,
0.01927374303340912,
-0.036620110273361206,
-0.024986032396554947,
-0.011801675893366337,
-0.00977653544396162,
0.013861731626093388,
0.01240223366767168,
-0.053938545286655426,
-0.08407820761203766,
0.029804468154907227,
-0.013100557960569859,
-0.041312847286462784,
0.033798880875110626,
0.018435753881931305,
0.039944130927324295,
0.002344622742384672,
-0.0010501047363504767,
-0.03304469212889671,
0.0221787691116333,
-0.03134078159928322,
-0.01422485988587141,
0.04706703871488571,
-0.052206702530384064,
-0.003966480493545532,
0.023840781301259995,
0.04572625458240509,
0.052486032247543335,
0.021620111539959908,
0.038770947605371475,
-0.01347765326499939,
-0.020069831982254982,
-0.013659217394888401,
0.05410614237189293,
-0.0069727650843560696,
0.05245810002088547,
0.00044125347631052136,
0.007576815318316221,
0.05673184245824814,
0.012423183768987656,
0.009134077467024326,
0.011005586013197899,
0.004078212194144726,
-0.0031424579210579395,
-0.028156423941254616,
-0.05770949646830559,
-0.029944133013486862,
-0.042178768664598465,
-0.003474161960184574,
0.0051955305971205235,
0.025027932599186897,
-0.05782122537493706,
0.03421787545084953,
0.016983238980174065,
-0.026005584746599197,
0.016243016347289085,
-0.00603351928293705,
-0.006529329344630241,
0.04944133758544922,
0.03500000014901161,
0.04108938202261925,
-0.0825139656662941,
0.0030289802234619856,
0.00472067017108202,
0.043240223079919815,
0.027597764506936073,
0.032122902572155,
0.036145251244306564,
-0.019874300807714462,
0.029832400381565094,
-0.04424580931663513,
-0.008477653376758099,
0.0145949712023139,
-0.03932960703969002,
0.0028020250611007214,
-0.02738826721906662,
-0.020907821133732796,
-0.055698320269584656,
0.02291899360716343,
0.012150837108492851,
-0.015851953998208046,
-0.01833798736333847,
0.008680167607963085,
0.015013965778052807,
0.026033518835902214,
0.03589385375380516,
-0.011152233928442001,
0.02268156409263611,
-0.02081005461513996,
0.005911312531679869,
0.0322904996573925,
0.0034200416412204504,
0.011864524334669113,
0.0022398740984499454,
-0.031955305486917496,
-0.038100555539131165,
0.03142457827925682,
0.025837987661361694,
-0.02428770810365677,
0.019692735746502876,
-0.022541899234056473,
0.0032332399860024452,
0.012506982311606407,
0.000364656065357849,
0.028351953253149986,
0.014581005088984966,
0.009678770788013935,
-0.029217876493930817,
0.03949720412492752,
-0.01502793189138174,
0.05178770795464516,
0.03801675885915756,
0.0032419690396636724,
0.0031075417064130306,
-0.009958100505173206,
0.005614524707198143,
-0.03977653384208679,
0.021494412794709206,
0.07083798944950104,
-0.012618714943528175,
-0.01844971999526024,
0.0008000174420885742,
-0.0012980097671970725,
-0.028575418516993523,
-0.025516759604215622,
-0.006134776398539543,
0.0005953211802989244,
0.0001431564160156995,
0.03938547149300575,
0.033212289214134216,
-0.013784915208816528,
0.005680865608155727,
-0.008896647952497005,
-0.028226256370544434,
0.01701117306947708,
-0.012905027717351913,
-0.007112429942935705,
-0.006511871237307787,
0.005893854424357414,
0.006410614121705294,
0.01425977610051632,
0.015837987884879112,
-0.0342458076775074,
-0.022011172026395798,
0.0015878141857683659,
-0.017835194244980812,
-0.011627094820141792,
0.04326815530657768,
-0.022541899234056473,
0.03455306962132454,
0.04047485813498497,
0.033994410187006,
-0.011180167086422443,
-0.013365921564400196,
0.009155027568340302,
-0.0583798848092556,
0.029022345319390297,
-0.059776533395051956,
-0.008023742586374283,
0.04650837928056717,
-0.01727653481066227,
-0.012779328972101212,
0.031117316335439682,
0.03276536241173744,
0.028533518314361572,
-0.036648042500019073,
0.03754189610481262,
-0.03256982937455177,
0.0014725907240062952,
0.01762569695711136,
-0.04717876762151718,
-0.003084846306592226,
-0.0037499999161809683,
-0.006634077988564968,
-0.01071927323937416,
0.05611731484532356,
-0.021187150850892067,
-0.044720668345689774,
-0.04337988793849945,
-0.03910614177584648,
-0.004071228671818972,
0.022583797574043274,
0.1051955297589302,
-0.05027932673692703,
-0.03455306962132454,
0.00761173153296113,
-0.04312849044799805,
0.0019011871190741658,
-0.019972065463662148,
-0.020991619676351547,
0.0018523044418543577,
-0.02229050174355507,
-0.009629887528717518,
0.024706702679395676,
-0.003074371488764882,
-0.03354748338460922,
0.05125698074698448,
-0.012758379802107811,
0.0271508377045393,
0.008198323659598827,
-0.017290502786636353,
0.01959497109055519,
0.027527932077646255,
-0.014832401648163795,
-0.017737429589033127,
0.02632681466639042,
-0.007884077727794647,
0.0006830481579527259,
0.016606144607067108,
-0.041005585342645645,
0.010265362448990345,
-0.040726255625486374,
0.03326815366744995,
-0.05008379742503166,
-0.003376396605744958,
-0.05815642327070236,
-0.02582402154803276,
-0.002484287600964308,
0.01696927286684513,
0.007339385338127613,
-0.033519551157951355,
-0.037402231246232986,
0.003900139592587948,
0.01143854670226574,
0.003114524995908141,
-0.009162010625004768,
-0.05508379638195038,
-0.033519551157951355,
0.004228351637721062,
0.033910613507032394,
-0.03153631091117859,
-0.010942736640572548,
0.03589385375380516,
-0.0068296086974442005,
0.040418993681669235,
-0.004018854349851608,
-0.02280726097524166,
-0.034189943224191666,
0.01649441197514534,
0.07391060888767242,
-0.018603350967168808,
0.033240221440792084,
-0.007709496654570103,
0.02695530652999878,
-0.007000698242336512,
0.03005586378276348,
0.0382402203977108,
-0.037402231246232986,
-0.03326815366744995,
0.002236382570117712,
0.027835194021463394,
-0.032653629779815674,
-0.025600558146834373,
-0.004385474603623152,
0.032653629779815674,
-0.018938547000288963,
0.005778631195425987,
-0.03743016719818115,
-0.04784915968775749,
-0.04005586355924606,
-0.04553072527050972,
0.052290499210357666,
-0.037905026227235794,
-0.002646647859364748,
-0.005590083543211222,
0.018310055136680603,
0.04824022203683853,
-0.039664801210165024,
0.03729050233960152,
0.04474860057234764,
0.029413405805826187,
0.0016105097020044923,
0.01384776458144188,
0.028854748234152794,
-0.013156424276530743,
-0.03259776532649994,
-0.022821228951215744,
-0.002087988657876849,
-0.020893853157758713,
0.009685753844678402,
-0.015013965778052807,
-0.05296089127659798,
-0.019092177972197533,
0.016312848776578903,
0.04502793028950691,
-0.00656424555927515,
0.019217876717448235,
-0.005607541650533676,
-0.04854748398065567,
-0.023100556805729866,
0.0291899424046278,
-0.00634776521474123,
0.03868715092539787,
0.021871507167816162,
-0.025879887863993645,
-0.03952513635158539,
-0.014525138773024082,
-0.01012569759041071,
-0.00015930515655782074,
-0.018365921452641487,
0.04787709191441536,
0.008624301292002201,
-0.058044690638780594,
0.04659217596054077,
-0.024078210815787315,
-0.02786312811076641,
-0.003784916130825877,
0.01488826796412468,
0.026550278067588806,
-0.025335194543004036,
0.027318434789776802,
-0.02335195429623127,
0.03181564062833786,
0.01688547432422638,
-0.04173184186220169,
-0.012974860146641731,
-0.010803071781992912,
-0.014252793043851852,
-0.03539105877280235,
-0.01579608954489231,
0.008114525116980076,
-0.03270949423313141,
0.040139663964509964,
-0.037402231246232986,
-0.005624999757856131,
-0.008903631009161472,
0.014525138773024082,
0.03388268128037453,
-0.0012220669304952025,
0.03924580663442612,
-0.0017047834116965532,
0.02002793177962303,
-0.034189943224191666,
0.04706703871488571,
0.01657821238040924,
-0.01962290331721306,
-0.03036312758922577,
0.032625697553157806,
0.029608936980366707,
-0.021913407370448112,
0.031089384108781815,
-0.009797485545277596,
0.046452511101961136,
0.019497206434607506,
-0.024706702679395676,
-0.03639664500951767,
0.03500000014901161,
0.005174580961465836,
-0.010614524595439434,
-0.014706702902913094,
-0.003470670199021697,
-0.05692737177014351,
-0.015432960353791714,
-0.026340780779719353,
-0.01590782031416893,
-0.00907122902572155,
0.0005743714864365757,
0.03918994218111038,
-0.008184357546269894,
-0.05606145039200783,
0.012765362858772278,
0.028715083375573158,
-0.00404678750783205,
-0.026829607784748077,
0.0282541885972023,
-0.01653631217777729,
-0.06608938425779343,
-0.01998603343963623,
-0.014015362598001957,
-0.054525136947631836,
0.0011103351134806871,
-0.07726256549358368,
0.012108937837183475,
0.0071229045279324055,
0.0016646297881379724,
-0.012548882514238358,
0.027136869728565216,
-0.038854748010635376,
-0.006194133777171373,
-0.002639664802700281,
0.038575418293476105,
-0.004015362821519375,
0.04310055822134018,
0.020907821133732796,
-0.006714385002851486,
0.026927372440695763,
0.039636868983507156,
-0.030279329046607018,
-0.03997206687927246,
0.008491619490087032,
0.02222066931426525,
-0.041592177003622055,
-0.025335194543004036,
-0.016508379951119423,
0.0005638966104015708,
-0.0706145241856575,
-0.030502792447805405,
-0.0381564237177372,
0.03589385375380516,
0.055893853306770325,
0.013331005349755287,
0.004008379764854908,
0.07391060888767242,
0.03444134071469307,
-0.0322067029774189,
-0.008114525116980076,
-0.00656424555927515,
0.03421787545084953,
-0.00881983246654272,
0.04541899263858795,
-0.04108938202261925,
-0.034692734479904175,
-0.020740222185850143,
-0.030391059815883636,
-0.014748603105545044,
-0.010006982833147049,
0.02860335074365139,
-0.017458099871873856,
0.006759776268154383,
-0.009120111353695393,
-0.04008379578590393,
0.006403631065040827,
0.018170390278100967,
0.04583798721432686,
-0.033519551157951355,
-0.0025977652985602617,
-0.06385474652051926,
-0.022192737087607384,
-0.02358938381075859,
-0.05575418844819069,
-0.04094971716403961,
-0.003969972021877766,
-0.0445251390337944,
-0.00934357475489378,
-0.02155027911067009,
-0.028631282970309258,
-0.001174930133856833,
-0.03217877075076103,
0.0401117317378521,
-0.0722346305847168,
-0.04924580827355385,
0.008673183619976044,
0.016480445861816406,
-0.024231841787695885,
-0.029050277546048164,
0.012053072452545166,
-0.02628491446375847,
-0.02664804272353649,
-0.0341620109975338,
0.006246508099138737,
0.01203212235122919,
0.03491619974374771,
-0.0627932921051979,
-0.016480445861816406,
-0.02829608879983425,
0.02829608879983425,
0.07653631269931793,
-0.010523742996156216,
-0.04192737117409706,
-0.027946926653385162,
0.011249999515712261,
-0.03125698119401932,
-0.025097765028476715,
-0.05539105832576752,
0.0008510823827236891,
-0.0027531422674655914,
-0.03460893779993057,
-0.013512569479644299,
-0.0018575418507680297,
0.0663687139749527,
-0.02081005461513996,
0.06005586311221123,
-0.0018976954743266106,
0.015586591325700283,
0.009210893884301186,
0.006888966076076031,
0.018994413316249847,
0.015041898936033249,
0.04932960867881775,
-0.0075209494680166245,
-0.02554469183087349,
-0.0071648042649030685,
0.026536311954259872,
-0.01762569695711136,
-0.02025139518082142,
-0.014804468490183353,
-0.00960195530205965,
0.04268156364560127,
-0.028938546776771545,
-0.030474858358502388,
-0.0016061451751738787,
0.009490222670137882,
0.01091480441391468,
0.017500000074505806,
0.022276535630226135,
0.007000698242336512,
0.007646647747606039,
0.02335195429623127,
0.03541899472475052,
-0.028491618111729622,
-0.021689943969249725,
0.008351954631507397,
0.008044692687690258,
0.021620111539959908,
0.018994413316249847,
-0.039357539266347885,
-0.004916200879961252,
0.0684916153550148,
-0.01696927286684513,
-0.020837988704442978,
0.04259776324033737,
-0.00587639631703496,
-0.0010483588557690382,
-0.05999999865889549,
0.03564245626330376,
0.021173182874917984,
0.054134074598550797,
0.004542597569525242,
-0.03427373990416527,
-0.028086591511964798,
0.024120111018419266,
-0.05564245581626892,
-0.010593575425446033,
0.004472765140235424,
0.040614522993564606,
-0.029441339895129204,
-0.04857541620731354,
0.006864524912089109,
-0.01692737266421318,
0.029217876493930817,
0.03103351779282093,
0.004427374340593815,
-0.023407820612192154,
0.016508379951119423,
0.003193086478859186,
0.034972064197063446,
0.024748602882027626,
0.028184356167912483,
-0.014287709258496761,
0.0544692724943161,
0.007527932524681091,
0.014203909784555435,
0.03223463520407677,
-0.0060300277546048164,
-0.010055865161120892,
-0.020991619676351547,
-0.007667597383260727,
0.01434357464313507,
0.007276535965502262,
0.0361173152923584,
-0.0036068435292690992,
-0.028533518314361572,
0.03142457827925682,
-0.031759776175022125,
-0.022053072229027748,
0.03374301642179489,
0.004916200879961252,
0.021424580365419388,
-0.004647346213459969,
0.0006765013677068055,
0.04229050129652023,
0.03427373990416527,
-0.004570530727505684,
0.018002793192863464,
-0.012248602695763111,
-0.004500698298215866,
-0.00832402240484953,
0.015167596749961376,
-0.029553070664405823,
-0.013924580067396164,
0.02287709340453148,
-0.013135474175214767,
-0.02252793125808239,
0.00199371506460011,
0.021606143563985825,
-0.037122905254364014,
0.016117317602038383,
0.00298708095215261,
0.05388268083333969,
-0.010076815262436867,
-0.047737427055835724,
-0.013358937576413155,
0.024734634906053543,
0.028938546776771545,
-0.0010029678232967854,
0.07212290167808533,
0.03550279140472412,
0.0005473114433698356,
-0.019022345542907715,
-0.036145251244306564,
0.012122904881834984,
0.013331005349755287,
-0.03648044541478157,
-0.025013964623212814,
-0.008135474286973476,
-0.0012377792736515403,
-0.03326815366744995,
0.02198323979973793,
0.0761452466249466,
-0.0072136870585381985,
0.015558658167719841,
-0.03125698119401932,
-0.004902234300971031,
-0.08301675319671631,
0.03240223228931427,
0.024860333651304245,
0.06206703558564186,
-0.0402793288230896,
-0.024120111018419266,
0.07938547432422638,
-0.06486032903194427,
0.2274860292673111,
0.08653631061315536,
0.0420670360326767,
0.012060055509209633,
0.01681564189493656,
0.05212290212512016,
0.017150837928056717,
-0.06117318198084831,
-0.027402233332395554,
0.054916199296712875,
0.03198323771357536,
0.017737429589033127,
0.0221368707716465,
-0.007891060784459114,
-0.0027461592108011246,
0.03631284832954407,
-0.03969273716211319,
0.046145249158144,
-0.04592178761959076,
-0.03256982937455177,
0.004689245484769344,
0.019064245745539665,
0.01610335148870945,
0.003002793062478304,
-0.022472066804766655,
-0.014427374117076397,
0.03173184394836426,
0.0015947974752634764,
-0.00010463948274264112,
-0.014944133348762989,
-0.00515363086014986,
-0.026941340416669846,
0.031061451882123947,
-0.025712288916110992,
-0.02543295919895172,
0.023715082556009293,
0.013491619378328323,
-0.05486033111810684,
0.0035893854219466448,
0.002459846204146743,
-0.01532122865319252,
-0.006937848869711161,
-0.010705307126045227,
-0.07039105892181396,
0.003746508155018091,
0.036145251244306564,
-0.05944133922457695,
0.04776535928249359,
0.05782122537493706,
-0.03259776532649994,
0.017695529386401176,
-0.04877094924449921,
-0.024986032396554947,
-0.012758379802107811,
-0.064580999314785,
-0.03745809942483902,
0.01944134011864662,
-0.03223463520407677,
-0.019385473802685738,
0.04759776219725609,
0.060502789914608,
-0.008722066879272461,
0.013142457231879234,
0.02543295919895172,
-0.007653630804270506,
0.029022345319390297,
-0.004092178773134947,
0.06709496676921844,
-0.041201114654541016,
-0.03368714824318886,
-0.011215083301067352,
-0.04793296009302139,
-0.014664803631603718,
-0.06374301761388779,
0.00885474868118763,
0.011396647430956364,
-0.031368713825941086,
0.036620110273361206,
-0.006885474547743797,
-0.031480446457862854,
0.005715781822800636,
-0.01300977636128664,
-0.02311452478170395,
-0.02828212082386017,
0.0543016754090786,
0.02958100475370884,
0.01296787615865469,
-0.022709496319293976,
-0.053463686257600784,
0.009734636172652245,
0.04709497094154358,
0.014036312699317932,
-0.0029748601373285055,
-0.07458100467920303,
-0.013351954519748688
] |
1208_0 | Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general-purpose computer. Turing is widely considered to be the father of theoretical computer science and artificial intelligence.
Born in Maida Vale, London, Turing was raised in southern England. He graduated at King's College, Cambridge, with a degree in mathematics. Whilst he was a fellow at Cambridge, he published a proof demonstrating that some purely mathematical yes–no questions can never be answered by computation and defined a Turing machine, and went on to prove the halting problem for Turing machines is undecidable. In 1938, he obtained his PhD from the Department of Mathematics at Princeton University. During the Second World War, Turing worked for the Government Code and Cypher School (GC&CS) at Bletchley Park, Britain's codebreaking centre that produced Ultra intelligence. For a time he led Hut 8, the section that was responsible for German naval cryptanalysis. Here, he devised a number of techniques for speeding the breaking of German ciphers, including improvements to the pre-war Polish bombe method, an electromechanical machine that could find settings for the Enigma machine. Turing played a crucial role in cracking intercepted coded messages that enabled the Allies to defeat the Axis powers in many crucial engagements, including the Battle of the Atlantic.
After the war, Turing worked at the National Physical Laboratory, where he designed the Automatic Computing Engine (ACE), one of the first designs for a stored-program computer. In 1948, Turing joined Max Newman's Computing Machine Laboratory, at the Victoria University of Manchester, where he helped develop the Manchester computers and became interested in mathematical biology. He wrote a paper on the chemical basis of morphogenesis and predicted oscillating chemical reactions such as the Belousov–Zhabotinsky reaction, first observed in the 1960s. Despite these accomplishments, he was never fully recognised in his home country during his lifetime because much of his work was covered by the Official Secrets Act. | [
0.014026200398802757,
-0.021493980661034584,
0.03441792353987694,
-0.04122435301542282,
-0.013688634149730206,
-0.012365927919745445,
-0.022775352001190186,
-0.025282982736825943,
-0.01985437609255314,
0.022995803505182266,
0.012903277762234211,
-0.034500595182180405,
0.00030807178700342774,
-0.039736308157444,
-0.017140071839094162,
-0.03455570712685585,
0.01679561659693718,
-0.03405969217419624,
-0.0009541398612782359,
-0.002573077566921711,
0.07677208632230759,
0.022417118772864342,
-0.04334619268774986,
-0.02101174369454384,
-0.023533152416348457,
0.02420828491449356,
0.05078641697764397,
-0.009210721589624882,
0.049105480313301086,
0.07677208632230759,
0.03317788615822792,
0.038744278252124786,
0.025944337248802185,
-0.04905036464333534,
0.0012598434695973992,
-0.03392190858721733,
0.033233001828193665,
-0.07451246678829193,
0.012331482023000717,
-0.04657028988003731,
0.03990164399147034,
-0.03560284897685051,
-0.0009885852923616767,
-0.03720112144947052,
-0.04786544293165207,
-0.007812235038727522,
0.03251653537154198,
0.03552018105983734,
-0.015569357201457024,
-0.03292987868189812,
-0.01061609759926796,
0.009913409128785133,
0.05547100305557251,
-0.0046914746053516865,
0.004615694750100374,
-0.03634687140583992,
0.04965660721063614,
0.020887739956378937,
-0.04092123359441757,
-0.004770699422806501,
0.027955953031778336,
-0.0020185052417218685,
0.0052253794856369495,
-0.020984187722206116,
-0.000986863044090569,
0.012393483892083168,
0.01953747682273388,
-0.007970684207975864,
-0.008528701029717922,
-0.026275012642145157,
-0.02609589695930481,
-0.024470070376992226,
-0.015293793752789497,
-0.031331609934568405,
-0.015362684614956379,
0.01785653829574585,
0.008659593760967255,
-0.009431173093616962,
-0.03962608054280281,
0.013578408397734165,
0.013929752632975578,
0.0067513142712414265,
-0.03921273723244667,
0.05480964854359627,
0.001884167897514999,
-0.05924622714519501,
0.05199889838695526,
0.05852976068854332,
-0.01975792832672596,
-0.03392190858721733,
0.03202052041888237,
0.012910166755318642,
0.007495336700230837,
0.021617984399199486,
0.033866796642541885,
0.01468755304813385,
0.0026970813050866127,
0.02683991938829422,
-0.012035251595079899,
0.019813040271401405,
0.05549855902791023,
0.10096659511327744,
-0.021094413474202156,
0.08074020594358444,
-0.003451437223702669,
0.02558610402047634,
-0.0558292381465435,
0.03348100930452347,
-0.027074148878455162,
-0.0003941854811273515,
-0.019096575677394867,
0.020129939541220665,
0.002819362562149763,
-0.01468755304813385,
0.003243042156100273,
0.004264350514858961,
-0.011222338303923607,
0.04028743505477905,
-0.02918221242725849,
0.01680939458310604,
-0.012090364471077919,
0.018931236118078232,
0.03549262508749962,
0.06409615278244019,
-0.002096007578074932,
-0.016451161354780197,
-0.04050788655877113,
0.04494446516036987,
-0.0024662965442985296,
-0.03094582073390484,
0.010719433426856995,
0.01040253508836031,
-0.027211930602788925,
-0.03637442737817764,
0.010698766447603703,
0.03689799830317497,
0.03218585625290871,
0.04951882362365723,
-0.00024004194710869342,
-0.001369207864627242,
0.02904443070292473,
-0.015100899152457714,
-0.00668586790561676,
0.060293372720479965,
-0.02249978855252266,
0.02704659290611744,
-0.0005717949825339019,
0.029650671407580376,
-0.038523826748132706,
-0.029292438179254532,
-0.01880723237991333,
-0.021921103820204735,
-0.014770222827792168,
0.03750424087047577,
-0.012276370078325272,
-0.0007095769396983087,
-0.024277174845337868,
0.01124989427626133,
0.007460891269147396,
0.022486010566353798,
-0.04356664419174194,
0.007812235038727522,
0.013791970908641815,
0.04017721116542816,
0.0009791128104552627,
0.0047018080949783325,
-0.02420828491449356,
-0.0022510122507810593,
-0.013791970908641815,
0.02091529592871666,
-0.00768823130056262,
0.013357957825064659,
-0.025324318557977676,
0.025641215965151787,
0.04811345040798187,
0.05031795799732208,
0.0076813423074781895,
-0.009362282231450081,
0.0050083729438483715,
-0.03328811377286911,
-0.02354693040251732,
-0.018283661454916,
0.02378115989267826,
0.01574847474694252,
-0.006854651030153036,
0.01933080516755581,
0.021425088867545128,
0.006034848280251026,
0.012503709644079208,
0.010113193653523922,
0.03199296444654465,
0.027625275775790215,
-0.053101155906915665,
-0.00530804879963398,
-0.015927590429782867,
0.035244617611169815,
-0.02356071025133133,
0.02843818999826908,
-0.024745633825659752,
-0.007088880054652691,
0.00855625793337822,
0.043373748660087585,
0.033563677221536636,
-0.009630956687033176,
-0.042326606810092926,
0.008163578808307648,
0.036512210965156555,
0.0685051754117012,
-0.05285314843058586,
0.004729364532977343,
0.031855180859565735,
-0.02630257047712803,
0.0359610840678215,
0.013151285238564014,
0.02863108366727829,
0.03637442737817764,
-0.08085043728351593,
0.009568954817950726,
-0.004298795945942402,
0.03758690878748894,
0.004570915363729,
0.053514499217271805,
-0.004429689142853022,
0.004739698488265276,
0.015900034457445145,
0.002545521128922701,
-0.007316220086067915,
0.09391216188669205,
-0.011801022104918957,
0.04772765934467316,
0.012055918574333191,
0.03031202405691147,
-0.04491690918803215,
0.016451161354780197,
0.014343098737299442,
0.0011590904323384166,
-0.0018996683647856116,
0.05599457398056984,
-0.013213287107646465,
0.006692756898701191,
-0.03579574450850487,
-0.0019134464673697948,
0.05830931290984154,
0.030670257285237312,
0.04127946496009827,
0.03518950566649437,
0.000351774477167055,
0.007832902483642101,
-0.038716722279787064,
0.02566877193748951,
-0.03086315095424652,
0.058584876358509064,
-0.012262591160833836,
-0.015569357201457024,
-0.04386976361274719,
0.02208644337952137,
0.026564355939626694,
0.018765898421406746,
-0.013041059486567974,
-0.027735501527786255,
-0.02292691171169281,
0.001827332773245871,
0.026467908173799515,
-0.01616181991994381,
-0.017622308805584908,
0.039736308157444,
0.03499661013484001,
0.016354715451598167,
-0.031221384182572365,
-0.011849245987832546,
-0.050896644592285156,
-0.06470239162445068,
-0.06200186535716057,
-0.011704574339091778,
-0.03940563276410103,
-0.018862346187233925,
-0.020102383568882942,
-0.03298499435186386,
0.05941156670451164,
-0.0040783449076116085,
-0.0038234484381973743,
0.0025059087201952934,
-0.0380278117954731,
0.024249618873000145,
0.01890368014574051,
-0.026357682421803474,
-0.012868831865489483,
0.013750636018812656,
0.0015009618364274502,
0.051723334938287735,
-0.00903160497546196,
-0.023932721465826035,
-0.044834237545728683,
-0.022031329572200775,
0.027101704850792885,
-0.004378020763397217,
0.03505172207951546,
-0.006389637012034655,
-0.04510980099439621,
-0.008638926781713963,
-0.02051572874188423,
-0.014177760109305382,
0.0039887866005301476,
0.0015112955588847399,
-0.0025282984133809805,
0.049298372119665146,
0.027597719803452492,
-0.058695100247859955,
0.06078938767313957,
0.0170022901147604,
-0.03452815115451813,
-0.017884094268083572,
-0.02123219519853592,
-0.024566518142819405,
-0.03791758790612221,
0.04395243525505066,
0.024222062900662422,
0.015996482223272324,
-0.004212682601064444,
-0.06596998870372772,
-0.007150881923735142,
0.01945480890572071,
-0.024015389382839203,
-0.011704574339091778,
-0.000604087661486119,
0.05514032766222954,
-0.03403213620185852,
-0.018752120435237885,
0.018628116697072983,
-0.0009946132777258754,
-0.027597719803452492,
0.010719433426856995,
-0.02725326456129551,
0.03879939019680023,
-0.007433334831148386,
-0.016630278900265694,
0.02325758896768093,
0.05737239494919777,
0.037146005779504776,
-0.02918221242725849,
-0.031221384182572365,
-0.028686197474598885,
-0.004453800618648529,
0.06260810792446136,
-0.001110005658119917,
0.0006592004210688174,
0.015996482223272324,
0.011429010890424252,
-0.02471807785332203,
-0.02017127349972725,
-0.0010092526208609343,
0.06310412287712097,
-0.004750031977891922,
-0.02683991938829422,
-0.03516194596886635,
0.06475750356912613,
-0.00281419581733644,
-0.0026695248670876026,
-0.02863108366727829,
0.055112771689891815,
-0.019082797691226006,
0.026991479098796844,
-0.00779156805947423,
0.014315541833639145,
-0.06701713055372238,
-0.028658641502261162,
-0.03667755052447319,
0.005680060014128685,
0.03615397587418556,
-0.055939462035894394,
0.012992835603654385,
0.0020805071108043194,
-0.02167309634387493,
0.00002228192170150578,
-0.011125890538096428,
-0.011346342042088509,
0.01995082199573517,
-0.0092933913692832,
0.02717059664428234,
-0.06415126472711563,
0.006014181300997734,
0.012586379423737526,
-0.014067534357309341,
0.017718756571412086,
-0.023739825934171677,
0.021273529157042503,
0.021094413474202156,
0.004822367336601019,
-0.004505468998104334,
0.01649249717593193,
-0.049491267651319504,
-0.01199391670525074,
-0.021810878068208694,
-0.0411967970430851,
-0.01669916883111,
-0.022678904235363007,
0.07682720571756363,
0.015900034457445145,
-0.015610692091286182,
-0.01817343570291996,
0.026123452931642532,
-0.02039172500371933,
-0.028135068714618683,
0.071922168135643,
-0.015266237780451775,
-0.0009920299053192139,
-0.04734186828136444,
0.027074148878455162,
-0.020005935803055763,
-0.005290825851261616,
-0.03990164399147034,
0.020419280976057053,
0.022871799767017365,
-0.005807508248835802,
0.06393081694841385,
-0.02896176092326641,
-0.035768188536167145,
-0.02408428117632866,
0.022568680346012115,
0.009706736542284489,
-0.05571901053190231,
-0.024993641301989555,
0.03370146080851555,
0.05188867449760437,
0.023739825934171677,
-0.026881253346800804,
-0.02503497526049614,
-0.027115482836961746,
0.018035653978586197,
-0.015321350656449795,
0.04227149486541748,
-0.047589875757694244,
-0.03962608054280281,
-0.029760895296931267,
-0.03612641990184784,
0.01924813538789749,
0.04287773370742798,
-0.022058885544538498,
0.03689799830317497,
-0.04734186828136444,
-0.0016706058522686362,
0.02227933704853058,
0.002564466092735529,
-0.04028743505477905,
-0.006909763440489769,
-0.012131698429584503,
0.023533152416348457,
0.025434544309973717,
-0.029871121048927307,
-0.018724564462900162,
0.006771981716156006,
-0.06845006346702576,
0.03075292520225048,
-0.03160717338323593,
-0.00976873841136694,
-0.0113670090213418,
-0.003465215442702174,
-0.01347507257014513,
0.009761849418282509,
-0.012524377554655075,
-0.046129390597343445,
0.012434818781912327,
0.039791420102119446,
-0.02506253309547901,
-0.014136425219476223,
0.06310412287712097,
0.04152747243642807,
0.028658641502261162,
0.011807911098003387,
0.018752120435237885,
-0.006300078704953194,
-0.022541122511029243,
-0.005879843607544899,
-0.05111709609627724,
0.055305663496255875,
-0.04081100597977638,
0.0118836909532547,
-0.05671104043722153,
-0.0039887866005301476,
-0.0638756975531578,
-0.030560031533241272,
0.007936239242553711,
0.02387760765850544,
-0.04373198375105858,
0.03160717338323593,
-0.029016872867941856,
-0.03711844980716705,
-0.02219666913151741,
-0.048774801194667816,
0.004905036650598049,
0.013027281500399113,
0.019826818257570267,
0.002356071025133133,
-0.00628285575658083,
-0.007454002276062965,
0.02989867888391018,
-0.0046019162982702255,
-0.03932296112179756,
0.014026200398802757,
0.02506253309547901,
0.020777514204382896,
0.00030613422859460115,
0.005452719517052174,
-0.012944611720740795,
-0.023312702775001526,
-0.04003942757844925,
-0.04621205851435661,
-0.044641345739364624,
-0.020681066438555717,
0.001525934785604477,
0.013971087522804737,
-0.05469942465424538,
0.02240334078669548,
0.014287985861301422,
0.033122774213552475,
0.005986624862998724,
0.027404824271798134,
-0.007495336700230837,
-0.008928269147872925,
0.054561641067266464,
0.04003942757844925,
-0.045385368168354034,
0.02367093414068222,
0.03540995344519615,
-0.014356876723468304,
0.012407262809574604,
0.027239486575126648,
-0.04279506579041481,
-0.005356272216886282,
-0.057758182287216187,
0.03075292520225048,
-0.05092420056462288,
-0.019702816382050514,
-0.05486476421356201,
0.0065721976570785046,
-0.040397658944129944,
0.013344179838895798,
-0.00594184547662735,
-0.04130702093243599,
-0.007047545630484819,
-0.030504917725920677,
-0.01798054203391075,
0.026040783151984215,
-0.00012185089144622907,
-0.057427506893873215,
-0.017195183783769608,
0.022858021780848503,
0.05654570087790489,
-0.02874130941927433,
-0.016148041933774948,
0.017787646502256393,
0.03033958002924919,
-0.004309129901230335,
-0.0023905164562165737,
-0.04056299850344658,
-0.03240630775690079,
-0.0270603708922863,
0.023588266223669052,
0.008156689815223217,
0.06817449629306793,
-0.008749152533710003,
-0.0020598398987203836,
0.003296432550996542,
-0.018986349925398827,
-0.03188273683190346,
-0.01849033497273922,
-0.03135916590690613,
0.018214771524071693,
0.07429201155900955,
-0.011801022104918957,
0.030174242332577705,
-0.006062404718250036,
0.00998230092227459,
0.023174919188022614,
-0.02251356653869152,
-0.02576521970331669,
-0.014880447648465633,
-0.018462779000401497,
-0.044972021132707596,
0.052770476788282394,
0.025944337248802185,
0.021287307143211365,
0.001038531307131052,
-0.011766576208174229,
0.062497880309820175,
-0.0581439733505249,
-0.007784678600728512,
0.05941156670451164,
-0.006220853887498379,
-0.01596892438828945,
0.022045107558369637,
-0.01924813538789749,
-0.045716043561697006,
-0.05175089091062546,
-0.00924516748636961,
-0.026757249608635902,
-0.008749152533710003,
-0.0048085893504321575,
-0.009004049003124237,
-0.0921485498547554,
-0.005445830523967743,
0.01722274161875248,
0.037862472236156464,
0.0012297036591917276,
0.02186599187552929,
-0.017939206212759018,
-0.02641279436647892,
-0.018945014104247093,
0.02810751274228096,
-0.06067916005849838,
0.0013304566964507103,
0.03477615863084793,
0.008700928650796413,
0.024910971522331238,
-0.027404824271798134,
-0.012903277762234211,
-0.0766618624329567,
-0.05759284645318985,
0.007750233169645071,
0.013171952217817307,
-0.00032658621785230935,
0.02471807785332203,
0.02978845313191414,
-0.008025797083973885,
-0.02768038958311081,
-0.005707616452127695,
-0.015514245256781578,
0.01787031628191471,
-0.036815330386161804,
0.0015956868883222342,
0.006386192049831152,
-0.013337290845811367,
-0.03284721076488495,
0.05841953679919243,
0.015293793752789497,
-0.019261913374066353,
0.0039612301625311375,
-0.007447113282978535,
-0.04535780847072601,
0.054368749260902405,
0.07589028775691986,
-0.029209768399596214,
-0.017773868516087532,
-0.04794811084866524,
-0.0241945069283247,
0.020970409736037254,
0.002493852749466896,
-0.005790285300463438,
-0.013096172362565994,
0.00567661551758647,
0.038523826748132706,
0.0011642572935670614,
-0.0032671538647264242,
-0.031441833823919296,
-0.03764202073216438,
0.009975410997867584,
0.002182121155783534,
-0.037669580429792404,
-0.015362684614956379,
0.034941498190164566,
-0.0005201267777010798,
-0.009899631142616272,
-0.03135916590690613,
-0.019275691360235214,
0.0446137860417366,
0.052357133477926254,
-0.053514499217271805,
-0.008687150664627552,
-0.010650542564690113,
-0.06922163814306259,
-0.05830931290984154,
-0.07153637707233429,
-0.02262379229068756,
-0.03648465499281883,
-0.0010230308398604393,
0.0013752358499914408,
0.007784678600728512,
-0.0380278117954731,
0.046763185411691666,
-0.04488935321569443,
0.05654570087790489,
-0.007888015359640121,
0.005773062817752361,
-0.03664999082684517,
0.04163769632577896,
-0.01753963902592659,
-0.021838435903191566,
-0.04767254739999771,
0.015886256471276283,
-0.008900712244212627,
0.0007999963127076626,
-0.03284721076488495,
0.04196837544441223,
-0.023188699036836624,
0.005187489558011293,
-0.0005717949825339019,
-0.003460048697888851,
-0.02198999561369419,
0.03844115883111954,
0.009555176831781864,
0.039157625287771225,
-0.008756041526794434,
0.024979863315820694,
0.019000127911567688,
-0.009403616189956665,
-0.025971893221139908,
-0.00557327875867486,
-0.008108465932309628,
-0.0021941771265119314,
-0.02557232603430748,
0.03064270131289959,
-0.009389838203787804,
0.053817618638277054,
-0.06729269027709961,
-0.007550449576228857,
0.017153849825263023,
0.015183568000793457,
-0.010009856894612312,
-0.0038027812261134386,
0.05797863379120827,
0.03295743837952614,
0.008032686077058315,
-0.010133860632777214,
0.034390367567539215,
0.011849245987832546,
-0.000769856502301991,
0.008301361463963985,
-0.011036332696676254,
0.0008469282765872777,
-0.0243185106664896,
0.016010260209441185,
-0.033122774213552475,
0.0031913737766444683,
-0.03739401325583458,
-0.01337173581123352,
-0.03458326309919357,
-0.018986349925398827,
-0.05390029028058052,
0.003689110977575183,
0.008873156271874905,
-0.02221044711768627,
0.018462779000401497,
-0.02039172500371933,
-0.028906648978590965,
-0.04006698355078697,
-0.0411967970430851,
0.018242327496409416,
-0.04340130835771561,
-0.03943318873643875,
0.024814525619149208,
0.005001483950763941,
-0.03309521824121475,
0.020309055224061012,
-0.026647023856639862,
-0.026013227179646492,
0.021383754909038544,
0.06922163814306259,
0.022665126249194145,
0.012689715251326561,
0.019578812643885612,
-0.0296782273799181,
-0.016037816181778908,
-0.023271366953849792,
-0.03877183422446251,
0.011759687215089798,
0.021617984399199486,
-0.02725326456129551,
0.013392402790486813,
0.03593352809548378,
0.037449128925800323,
0.017264075577259064,
-0.04604671895503998,
-0.005321826785802841,
0.03505172207951546,
-0.019592590630054474,
-0.012173033319413662,
0.004519246984273195,
0.0004111929447390139,
0.0359610840678215,
-0.01879345439374447,
0.04938104376196861,
0.011690796352922916,
0.015514245256781578,
0.04808589071035385,
-0.006382747553288937,
-0.01606537215411663,
0.026164786890149117,
0.07363066077232361,
-0.025916779413819313,
0.024855859577655792,
0.004712142050266266,
0.008632037788629532,
0.03496905416250229,
0.004849923774600029,
-0.030835594981908798,
0.03728378936648369,
0.02251356653869152,
0.01628582365810871,
-0.035354841500520706,
0.031441833823919296,
0.049408599734306335,
-0.01585870049893856,
0.04852679371833801,
0.020791292190551758,
0.003255097893998027,
-0.01701606810092926,
0.026702137663960457,
-0.02526920475065708,
-0.004164458718150854,
-0.004467579070478678,
-0.024029167369008064,
0.06062404811382294,
-0.02546210028231144,
-0.012365927919745445,
0.014425767585635185,
-0.0644819438457489,
0.061230286955833435,
0.012345260940492153,
-0.010664321482181549,
-0.01474266592413187,
-0.014935560524463654,
0.023409148678183556,
0.02400161139667034,
-0.02566877193748951,
0.007030322682112455,
0.04056299850344658,
0.05676615238189697,
0.028796423226594925,
-0.008039575070142746,
0.019799262285232544,
-0.020543284714221954,
-0.002431851113215089,
0.03728378936648369,
0.049711719155311584,
0.050014838576316833,
0.04386976361274719,
-0.04050788655877113,
-0.049629051238298416,
0.035134389996528625,
-0.017622308805584908,
-0.03405969217419624,
0.004388354253023863,
-0.014398211613297462,
0.02334025874733925,
-0.008583813905715942,
0.007350665982812643,
-0.0009231389267370105,
0.03033958002924919,
0.01850411295890808,
0.00027125817723572254,
-0.020364169031381607,
0.028713753446936607,
-0.05356961116194725,
0.054782092571258545,
-0.006372414063662291,
0.012813718989491463,
0.02292691171169281,
0.006417192984372377,
0.028686197474598885,
0.013902196660637856,
-0.0053252712823450565,
-0.013592187315225601,
-0.0033894353546202183,
-0.010126971639692783,
0.02812129072844982,
-0.013537074439227581,
0.0371735654771328,
-0.021287307143211365,
-0.038606494665145874,
-0.02208644337952137,
0.019413473084568977,
-0.0243185106664896,
0.02167309634387493,
-0.0420510433614254,
0.011628794483840466,
-0.0005257241427898407,
0.028272850438952446,
-0.003547884523868561,
-0.013867750763893127,
0.04056299850344658,
-0.013165063224732876,
0.017388079315423965,
-0.0197441503405571,
0.0016938565531745553,
-0.057758182287216187,
-0.02633012644946575,
-0.05698660388588905,
-0.024111837148666382,
0.027625275775790215,
-0.026040783151984215,
-0.05166822299361229,
-0.02292691171169281,
0.01067809946835041,
-0.0009903075406327844,
0.04028743505477905,
0.02187976986169815,
-0.017305409535765648,
0.025613659992814064,
-0.022458454594016075,
-0.003692555706948042,
0.03411480411887169,
-0.01394353061914444,
0.005004928447306156,
0.011849245987832546,
-0.0019857820589095354,
0.012441707774996758,
0.016974734142422676,
-0.02227933704853058,
0.02791461907327175,
0.017291631549596786,
-0.03615397587418556,
-0.024538960307836533,
-0.03835848718881607,
-0.037338901311159134,
-0.029540445655584335,
0.002846919000148773,
0.013599076308310032,
0.062497880309820175,
-0.02354693040251732,
-0.050896644592285156,
-0.03574063256382942,
-0.04640495404601097,
-0.021535314619541168,
-0.007571117021143436,
0.0644819438457489,
-0.011952581815421581,
-0.0056111691519618034,
0.009286501444876194,
-0.009816962294280529,
0.21791589260101318,
0.09280990809202194,
0.03000890277326107,
0.040314991027116776,
0.05632525309920311,
0.08062998205423355,
0.008735374547541142,
0.0006837428081780672,
0.041913263499736786,
0.02227933704853058,
0.015059564262628555,
0.0020718956366181374,
0.0009248611750081182,
-0.013819526880979538,
0.0060382927767932415,
0.021204639226198196,
-0.020970409736037254,
0.01594136841595173,
-0.0293751060962677,
-0.0524122454226017,
-0.06437171250581741,
0.0075091151520609856,
-0.006641088984906673,
-0.038303375244140625,
0.01136012002825737,
-0.01204902958124876,
0.04502713307738304,
-0.015927590429782867,
-0.04442089423537254,
-0.02779061533510685,
-0.017608530819416046,
-0.004126568790525198,
0.009761849418282509,
-0.01869700662791729,
0.02249978855252266,
0.03879939019680023,
0.002846919000148773,
-0.007219772785902023,
-0.012751717120409012,
0.020942851901054382,
0.020433058962225914,
0.009686069563031197,
-0.02167309634387493,
-0.004009454045444727,
-0.005841953679919243,
0.05062108114361763,
-0.03182762488722801,
0.003930229227989912,
0.061340514570474625,
-0.02536565251648426,
-0.00919005461037159,
-0.02429095283150673,
0.0388820581138134,
-0.0483890138566494,
-0.0013545685214921832,
0.0068580955266952515,
0.015335128642618656,
-0.0021700654178857803,
-0.041362132877111435,
0.0023629600182175636,
0.027225708588957787,
0.0002501603157725185,
0.0029674782417714596,
0.027652831748127937,
0.0030243133660405874,
0.033233001828193665,
0.03273698687553406,
0.04951882362365723,
-0.05006995052099228,
0.039984315633773804,
-0.005170266609638929,
-0.020157495513558388,
-0.0558292381465435,
0.004960149526596069,
-0.006820205133408308,
-0.008824932388961315,
-0.008418475277721882,
0.06420637667179108,
0.004922259133309126,
-0.032709430903196335,
0.00663075502961874,
-0.0027125817723572254,
-0.010533427819609642,
-0.024125615134835243,
0.02291313372552395,
0.0022372340317815542,
-0.01279305201023817,
-0.014122647233307362,
-0.042519502341747284,
0.019702816382050514,
0.04772765934467316,
-0.021590428426861763,
0.01326839905232191,
-0.04428311064839363,
0.007970684207975864
] |
1208_1 | Turing was prosecuted in 1952 for homosexual acts. He accepted hormone treatment with DES, so-called chemical castration, as an alternative to prison. In 2009, following an Internet campaign, British Prime Minister Gordon Brown made an official public apology on behalf of the British government for "the appalling way he was treated". Queen Elizabeth II granted Turing a posthumous pardon in 2013. The "Alan Turing law" is now an informal term for a 2017 law in the United Kingdom that retroactively pardoned men cautioned or convicted under historical legislation that outlawed homosexual acts.
Turing died in 1954, 16 days before his 42nd birthday, from cyanide poisoning. An inquest determined his death as a suicide, but it has been noted that the known evidence is also consistent with accidental poisoning.
Turing has an extensive legacy with statues of him and many things named after him, including an annual award for computer science innovations. He appears on the current Bank of England £50 note, which was released to coincide with his birthday. A 2019 BBC series, as voted by the audience, named him the greatest person of the 20th century.
Early life and education
Family
Turing was born in Maida Vale, London, while his father, Julius Mathison Turing (1873–1947), was on leave from his position with the Indian Civil Service (ICS) at Chatrapur, then in the Madras Presidency and presently in Odisha state, in India. Turing's father was the son of a clergyman, the Rev. John Robert Turing, from a Scottish family of merchants that had been based in the Netherlands and included a baronet. Turing's mother, Julius's wife, was Ethel Sara Turing (; 1881–1976), daughter of Edward Waller Stoney, chief engineer of the Madras Railways. The Stoneys were a Protestant Anglo-Irish gentry family from both County Tipperary and County Longford, while Ethel herself had spent much of her childhood in County Clare. | [
0.005896648857742548,
-0.0518551729619503,
-0.005252507980912924,
-0.00962162297219038,
-0.04393408074975014,
-0.01582745835185051,
-0.01808011159300804,
-0.04243231192231178,
0.006813168991357088,
-0.01859542354941368,
-0.03298000618815422,
-0.014281521551311016,
0.029387542977929115,
-0.011690234765410423,
-0.04464079439640045,
-0.023998845368623734,
0.00030711712315678596,
-0.016916977241635323,
-0.0024330117739737034,
0.00856155063956976,
0.08309783786535263,
0.039340436458587646,
-0.027164336293935776,
-0.03521793708205223,
-0.0029961748514324427,
0.019964683800935745,
0.001625995384529233,
-0.000778490153606981,
0.04684927687048912,
0.047585438936948776,
0.028474703431129456,
0.011027690023183823,
0.01465696282684803,
-0.04799769073724747,
0.02566256746649742,
-0.011675511486828327,
0.01505449041724205,
-0.06919912248849869,
0.030594846233725548,
-0.016386941075325012,
0.008392234332859516,
-0.06513551622629166,
0.01091726589947939,
-0.03351004421710968,
-0.047821011394262314,
-0.0010582312243059278,
0.009305073879659176,
0.01340548973530531,
-0.023984121158719063,
-0.003020100062713027,
-0.019581878557801247,
-0.013192002661526203,
0.0476737804710865,
-0.013596891425549984,
0.004888108465820551,
-0.03739697113633156,
-0.005322443321347237,
0.016166092827916145,
-0.045612528920173645,
0.014575985260307789,
0.011344239115715027,
-0.011793297715485096,
0.015915798023343086,
-0.04187282919883728,
0.032008275389671326,
0.027399908751249313,
0.011815382167696953,
-0.011793297715485096,
-0.0243227556347847,
0.012801838107407093,
0.012485289014875889,
-0.018345128744840622,
-0.022025933489203453,
-0.009076863527297974,
-0.007648711558431387,
-0.035276830196380615,
-0.020877523347735405,
-0.013066855259239674,
-0.02159896120429039,
0.011351601220667362,
-0.02956422045826912,
-0.016681404784321785,
-0.03386339917778969,
0.0287838913500309,
-0.02656068466603756,
-0.041548918932676315,
0.029475882649421692,
0.06931690871715546,
-0.01977328211069107,
-0.005167849361896515,
0.04761488735675812,
0.009967618621885777,
0.0015008479822427034,
-0.004869704134762287,
0.0067689991556108,
0.005962903145700693,
-0.015076574869453907,
0.005984988063573837,
-0.03498236462473869,
-0.015459378249943256,
0.04714374244213104,
0.02775326557457447,
-0.00889282301068306,
0.08568912744522095,
0.036307454109191895,
0.03733808174729347,
-0.042049508541822433,
0.03978213295340538,
-0.014038587920367718,
0.012551543302834034,
0.012087761424481869,
-0.005281954538077116,
0.014185819774866104,
-0.03259720280766487,
0.02277681790292263,
0.01074058748781681,
-0.030079534277319908,
0.04434633255004883,
-0.04178449138998985,
0.04107777774333954,
-0.0022140038199722767,
0.012028869241476059,
0.05789169296622276,
0.027134889736771584,
-0.00680212676525116,
-0.008782398886978626,
0.0018974547274410725,
0.02994702383875847,
0.02616315707564354,
-0.023792719468474388,
0.02865138091146946,
0.015400486066937447,
-0.02315962128341198,
-0.04511193931102753,
0.0264134518802166,
0.016858084127306938,
0.02095113880932331,
0.06213197857141495,
-0.006124858744442463,
-0.005031659733504057,
0.0005599423893727362,
-0.019464094191789627,
-0.005565376486629248,
0.06266201287508011,
0.009135756641626358,
0.019154906272888184,
-0.009776216931641102,
0.0035170086193829775,
-0.027664925903081894,
-0.017255611717700958,
-0.03418731316924095,
0.001403306727297604,
0.006717468146234751,
0.03100709617137909,
0.010092766024172306,
0.008907546289265156,
-0.020641950890421867,
-0.012742944993078709,
0.013317150063812733,
0.042314525693655014,
-0.06819794327020645,
0.019213799387216568,
0.01249265018850565,
0.053710296750068665,
0.0034544349182397127,
-0.015665503218770027,
-0.029210863634943962,
0.024661390110850334,
0.00651134317740798,
0.0035740609746426344,
-0.004420646000653505,
0.02327740751206875,
-0.044817473739385605,
-0.003084514057263732,
0.049146100878715515,
0.06283869594335556,
0.022820986807346344,
-0.020759737119078636,
-0.0020778141915798187,
-0.015930522233247757,
-0.04434633255004883,
0.01791815645992756,
0.01623970828950405,
0.027267398312687874,
-0.020656675100326538,
-0.00909158680588007,
0.004174032248556614,
-0.010895181447267532,
0.008752953261137009,
-0.018683763220906258,
0.019272692501544952,
0.0361013300716877,
-0.05901065468788147,
0.01781509257853031,
0.005469675175845623,
0.034746792167425156,
-0.019449369981884956,
0.009319797158241272,
0.004619409330189228,
0.002639136742800474,
-0.03047706000506878,
0.03548295423388481,
0.03224384784698486,
0.019287414848804474,
0.0018781304825097322,
0.00901797041296959,
0.044964708387851715,
0.06260312348604202,
-0.030535953119397163,
0.020892245694994926,
0.009518560022115707,
-0.03739697113633156,
0.030388720333576202,
0.03074207901954651,
0.03480568528175354,
0.025986479595303535,
-0.06254422664642334,
0.011727042496204376,
-0.022850433364510536,
0.07426390796899796,
-0.011152837425470352,
0.055683210492134094,
0.03153713047504425,
0.011351601220667362,
-0.006224240176379681,
-0.01950826309621334,
0.011373685672879219,
0.07020030170679092,
-0.030653739348053932,
-0.0050721485167741776,
-0.00722541892901063,
0.0379859022796154,
0.010247359052300453,
-0.006231601815670729,
-0.00013032347487751395,
0.002309704665094614,
-0.023910505697131157,
0.04157836735248566,
-0.01406803447753191,
0.028474703431129456,
-0.04740875959396362,
0.009820385836064816,
0.06937579810619354,
0.0027219548355787992,
0.031213222071528435,
0.03377506136894226,
0.024131353944540024,
0.005826713517308235,
-0.04001770541071892,
0.030565399676561356,
0.003942141309380531,
0.03377506136894226,
-0.010983520187437534,
0.02500002272427082,
-0.029534773901104927,
0.040518295019865036,
0.07932869344949722,
0.014841003343462944,
-0.0037617820780724287,
-0.04802713543176651,
0.016666682437062263,
0.022335121408104897,
0.019920513033866882,
-0.024955853819847107,
0.012470565736293793,
0.01781509257853031,
0.025191426277160645,
0.025471165776252747,
-0.03177270293235779,
-0.018124280497431755,
-0.02722322940826416,
-0.07573623210191727,
-0.040901098400354385,
-0.021510621532797813,
-0.061189692467451096,
-0.03557129204273224,
0.003642156021669507,
-0.02446998842060566,
0.09098948538303375,
-0.049028314650058746,
0.013722038827836514,
-0.013376043178141117,
0.008605720475316048,
-0.008480573073029518,
0.015253253281116486,
-0.025029469281435013,
-0.02201121114194393,
0.012941707856953144,
-0.004740876145660877,
0.03100709617137909,
0.010836288332939148,
-0.03189048916101456,
-0.058804530650377274,
-0.022688478231430054,
0.027679648250341415,
0.011572449468076229,
0.00634938757866621,
0.028592487797141075,
-0.046525366604328156,
-0.009400774724781513,
0.01145466323941946,
-0.02959366701543331,
0.018507083877921104,
-0.011535640805959702,
0.010328337550163269,
0.02985868602991104,
0.04961724206805229,
-0.031596023589372635,
0.016548896208405495,
0.013214088045060635,
-0.015209083445370197,
-0.02092169225215912,
0.019199075177311897,
0.024411095306277275,
-0.039723239839076996,
0.03886929526925087,
0.004431688692420721,
0.03542406111955643,
-0.017623690888285637,
-0.043757401406764984,
-0.026752086356282234,
-0.00664385175332427,
-0.048233259469270706,
-0.016828637570142746,
-0.007737050764262676,
0.01962604932487011,
-0.009864555671811104,
-0.02657540701329708,
0.021628405898809433,
-0.0025139893405139446,
-0.028592487797141075,
-0.0036789639852941036,
-0.026074819266796112,
-0.005326123908162117,
-0.006584959104657173,
-0.020583057776093483,
0.045465294271707535,
0.031124882400035858,
0.02239401452243328,
-0.05538874492049217,
-0.021672576665878296,
-0.019287414848804474,
-0.016445834189653397,
0.0284010861068964,
-0.03751475736498833,
0.0008203592733480036,
0.021805085241794586,
0.006139581557363272,
-0.004030480980873108,
-0.021922871470451355,
-0.00962898414582014,
0.03336280956864357,
0.01361897587776184,
-0.015562441200017929,
-0.03910486772656441,
0.06389876455068588,
0.021304495632648468,
-0.018536530435085297,
-0.023586595430970192,
0.05915788933634758,
-0.0022784178145229816,
0.0242196936160326,
-0.001772307325154543,
0.06336873024702072,
-0.03916375711560249,
-0.03221439942717552,
-0.024705559015274048,
-0.003857482923194766,
0.03144879266619682,
-0.04723208397626877,
0.03259720280766487,
-0.0012855209643021226,
-0.035659633576869965,
-0.006238963454961777,
-0.02053888887166977,
-0.009658430702984333,
0.01674029789865017,
-0.006518704816699028,
0.03913431242108345,
-0.062485337257385254,
0.014377222396433353,
-0.003242788603529334,
-0.019287414848804474,
0.03165491670370102,
-0.028077175840735435,
0.024808621034026146,
0.002802932634949684,
0.027326291427016258,
0.000767447694670409,
0.02396939881145954,
-0.011999422684311867,
0.025824524462223053,
-0.009592176415026188,
-0.04896942153573036,
-0.041018884629011154,
-0.030948203057050705,
0.054505351930856705,
0.005907691083848476,
-0.014134288765490055,
0.009135756641626358,
0.04790934920310974,
0.004958043340593576,
-0.039723239839076996,
0.03047706000506878,
-0.004012076649814844,
-0.0027937304694205523,
-0.04590699076652527,
0.05865729972720146,
0.009253541938960552,
-0.019037120044231415,
-0.02735573798418045,
-0.008804484270513058,
0.056978851556777954,
-0.009106310084462166,
0.06896355003118515,
-0.02501474693417549,
-0.042343974113464355,
-0.06213197857141495,
0.007633988279849291,
0.013707315549254417,
-0.0552709586918354,
-0.005800947546958923,
0.03845704346895218,
0.021775638684630394,
-0.008149300701916218,
-0.01595996879041195,
-0.02252652309834957,
-0.0039274184964597225,
0.03194938227534294,
-0.009739408269524574,
0.07650183886289597,
-0.04499415308237076,
-0.013670507818460464,
-0.029755622148513794,
-0.021819809451699257,
0.01765313744544983,
0.02785632759332657,
0.028047729283571243,
0.002237929031252861,
-0.01949354074895382,
0.012846007011830807,
0.06413433700799942,
0.02053888887166977,
-0.015209083445370197,
-0.026369282975792885,
-0.011152837425470352,
0.024131353944540024,
0.011314792558550835,
0.01597469113767147,
-0.008797122165560722,
0.070671446621418,
-0.0737338736653328,
0.046289797872304916,
-0.04322736710309982,
-0.034481775015592575,
-0.022482354193925858,
-0.002558159176260233,
0.028239130973815918,
-0.012610435485839844,
-0.024043014273047447,
-0.027841605246067047,
0.017476459965109825,
0.010806841775774956,
-0.03050650656223297,
0.0021164624486118555,
0.06843351572751999,
0.034864578396081924,
0.017093656584620476,
0.020892245694994926,
0.009275627322494984,
0.0038353982381522655,
0.003483881475403905,
0.01028416771441698,
-0.053327493369579315,
0.04737931489944458,
-0.0030329828150570393,
0.04402242228388786,
-0.03795645385980606,
-0.009835109114646912,
-0.06060076504945755,
-0.017991771921515465,
0.0008884541457518935,
-0.0036255924496799707,
-0.0060659656301140785,
0.028504149988293648,
-0.03642524033784866,
-0.035806864500045776,
-0.019184352830052376,
-0.05426977947354317,
-0.016460556536912918,
0.017314504832029343,
0.01597469113767147,
-0.02642817609012127,
0.03271498903632164,
-0.02551533654332161,
0.04452301189303398,
-0.045494742691516876,
-0.048233259469270706,
0.027046550065279007,
-0.006411961279809475,
0.0228946041315794,
-0.011520917527377605,
0.0036789639852941036,
0.02550061233341694,
0.014686409384012222,
-0.05494704842567444,
-0.0444641187787056,
-0.019935237243771553,
-0.023733826354146004,
0.008885461837053299,
0.014126927591860294,
-0.03613077476620674,
0.009584814310073853,
0.002777166897431016,
0.019935237243771553,
-0.023998845368623734,
0.03348059579730034,
-0.0035851034335792065,
-0.0017281377222388983,
0.06366319209337234,
0.041666705161333084,
-0.03286221995949745,
0.018094833940267563,
0.05818615481257439,
-0.018168451264500618,
-0.011609257198870182,
0.011358962394297123,
-0.041283901780843735,
-0.011152837425470352,
-0.0991755947470665,
0.0063088987953960896,
-0.06931690871715546,
-0.03150768578052521,
-0.05050063505768776,
-0.008664613589644432,
-0.03560074046254158,
0.008598359301686287,
-0.030388720333576202,
-0.014752663671970367,
-0.017712030559778214,
-0.023086005821824074,
0.007070825435221195,
0.012904900126159191,
0.013464382849633694,
-0.0649588331580162,
-0.05998238921165466,
0.012198185548186302,
0.034746792167425156,
-0.026104263961315155,
0.0064009190537035465,
0.002571041928604245,
0.013272981159389019,
-0.01803594082593918,
-0.02433747798204422,
-0.04093054682016373,
-0.034894026815891266,
-0.026531238108873367,
0.033068347722291946,
-0.009798301383852959,
0.03242052346467972,
-0.017859263345599174,
0.012198185548186302,
0.022482354193925858,
-0.02264430932700634,
-0.019684942439198494,
-0.06760901212692261,
-0.015562441200017929,
-0.03795645385980606,
0.06560666114091873,
-0.019390476867556572,
0.05798003077507019,
0.0015091297682374716,
0.022614862769842148,
0.015297423116862774,
0.008348064497113228,
-0.020583057776093483,
-0.014796833507716656,
-0.022349843755364418,
-0.06201419234275818,
0.060895226895809174,
0.027267398312687874,
0.004277094732969999,
0.031478241086006165,
0.014701132662594318,
0.05303303152322769,
-0.054122548550367355,
-0.043757401406764984,
0.08451127260923386,
-0.012463203631341457,
-0.03368672356009483,
-0.0028084537480026484,
0.0358952060341835,
-0.01924324594438076,
-0.03127211332321167,
-0.04670204594731331,
-0.024013567715883255,
-0.021819809451699257,
-0.008524742908775806,
-0.045583080500364304,
-0.05715553089976311,
-0.01622498594224453,
0.02606009505689144,
0.04399297386407852,
0.01026208233088255,
0.02392522804439068,
-0.020995307713747025,
-0.007527245208621025,
-0.02603064849972725,
0.005366612691432238,
-0.053739745169878006,
0.03100709617137909,
0.07037697732448578,
-0.008568912744522095,
0.009025332517921925,
0.011513556353747845,
0.0124411191791296,
-0.050588976591825485,
-0.057243868708610535,
-0.010851011611521244,
-0.00497644767165184,
-0.04093054682016373,
0.02984396182000637,
0.018757378682494164,
-0.02485279180109501,
-0.007604541722685099,
0.000536017119884491,
-0.06790348142385483,
-0.012389587238430977,
-0.029505327343940735,
0.035394616425037384,
0.03901652619242668,
-0.002372278366237879,
-0.03786811605095863,
0.056066013872623444,
-0.00043157432810403407,
0.003233586670830846,
-0.008038876578211784,
0.03365727514028549,
-0.008944354951381683,
-0.003121322253718972,
0.04499415308237076,
-0.026869872584939003,
-0.006577597465366125,
-0.056478261947631836,
-0.007943175733089447,
0.01478211022913456,
0.014023864641785622,
0.0030826737638562918,
-0.028356917202472687,
0.02866610512137413,
0.017770923674106598,
-0.005296677350997925,
0.008524742908775806,
-0.025058915838599205,
-0.029932301491498947,
0.020126638934016228,
-0.003025621175765991,
-0.028327470645308495,
-0.023321576416492462,
0.012374864891171455,
-0.025839246809482574,
-0.008811845444142818,
-0.05379863828420639,
-0.025309210643172264,
0.03130156174302101,
0.03439343720674515,
-0.026987658813595772,
-0.0027421992272138596,
-0.058127261698246,
-0.04266788437962532,
-0.025824524462223053,
-0.04499415308237076,
-0.030270935967564583,
-0.044817473739385605,
0.01949354074895382,
-0.023557148873806,
-0.03548295423388481,
-0.030329829081892967,
0.05521206557750702,
-0.04113667085766792,
0.011646064929664135,
-0.0012901219306513667,
0.00651134317740798,
-0.012713498435914516,
0.02186397835612297,
0.002169834217056632,
-0.03339225798845291,
-0.05930512025952339,
0.01046820729970932,
0.010755310766398907,
-0.014539177529513836,
-0.04093054682016373,
0.010114850476384163,
0.018683763220906258,
-0.0190960131585598,
0.039988260716199875,
-0.021039478480815887,
-0.01818317361176014,
0.04172559827566147,
0.03568907827138901,
-0.0028839102014899254,
0.057921137660741806,
0.021775638684630394,
0.03442288190126419,
-0.052149638533592224,
-0.029902854934334755,
0.0023501936811953783,
0.014487646520137787,
0.01859542354941368,
-0.033716168254613876,
0.00739105511456728,
-0.008031515404582024,
0.036454685032367706,
-0.049823369830846786,
-0.00506846746429801,
-0.0505300834774971,
0.05117790400981903,
-0.03713195398449898,
-0.016828637570142746,
-0.0039789495058357716,
0.004715110640972853,
0.006279452238231897,
-0.03283277526497841,
0.05035340413451195,
0.029785068705677986,
0.01780037023127079,
-0.01190372183918953,
0.002620732644572854,
-0.012095123529434204,
0.011992060579359531,
0.03256775811314583,
-0.05329804867506027,
0.03283277526497841,
-0.0183304063975811,
0.02813606895506382,
-0.023851612582802773,
-0.0043507106602191925,
-0.02146645076572895,
0.009658430702984333,
0.023130174726247787,
-0.025588952004909515,
0.028592487797141075,
-0.04458190128207207,
-0.013773569837212563,
-0.045877546072006226,
-0.04944056645035744,
0.0031010776292532682,
-0.04060663282871246,
0.001862487057223916,
0.043139029294252396,
0.013832462951540947,
0.00045849019079469144,
-0.004321264568716288,
-0.02541227452456951,
-0.02985868602991104,
0.015930522233247757,
0.04411076009273529,
0.03433454409241676,
0.0072953542694449425,
0.009224096313118935,
-0.005311400629580021,
-0.004140905104577541,
0.017064210027456284,
-0.005528568290174007,
0.0013324512401595712,
0.030565399676561356,
-0.032773882150650024,
0.017638415098190308,
0.059599585831165314,
0.01236014161258936,
0.025309210643172264,
-0.03289166837930679,
0.00883393082767725,
0.013854547403752804,
-0.02317434549331665,
0.01594524458050728,
0.02262958511710167,
0.012514734640717506,
0.03050650656223297,
-0.017078932374715805,
0.05544763803482056,
0.016386941075325012,
0.009923448786139488,
0.027061274275183678,
-0.013449659571051598,
-0.029151970520615578,
0.02841581031680107,
0.05665494129061699,
0.00576413981616497,
0.02667847089469433,
-0.009231457486748695,
0.006327302660793066,
-0.0038243557792156935,
0.017373396083712578,
-0.03848649188876152,
0.05008838698267937,
0.011057136580348015,
-0.0003239107900299132,
-0.020862799137830734,
0.03424620255827904,
0.03492347151041031,
-0.031124882400035858,
0.024543603882193565,
-0.0007853916613385081,
0.0197585579007864,
0.005859840661287308,
0.03236163407564163,
-0.05786224454641342,
-0.023998845368623734,
-0.01551827136427164,
-0.032391078770160675,
0.05641936883330345,
-0.05315081402659416,
-0.002160632284358144,
-0.006290494929999113,
-0.09116616100072861,
0.047114297747612,
-0.0031231625471264124,
0.011277984827756882,
-0.004523708485066891,
0.026516515761613846,
0.0512956902384758,
0.031713809818029404,
-0.007862198166549206,
-0.02511780895292759,
0.03925209864974022,
0.03560074046254158,
0.044287439435720444,
0.022070102393627167,
-0.03792700916528702,
-0.04408131539821625,
0.02461721934378147,
0.017476459965109825,
0.020421102643013,
0.015915798023343086,
0.04552418738603592,
0.012389587238430977,
-0.01806538738310337,
0.03215550631284714,
-0.0046856640838086605,
-0.06601890921592712,
0.028504149988293648,
-0.031861044466495514,
0.025824524462223053,
-0.007744412403553724,
0.036690257489681244,
-0.013457020744681358,
0.01883099600672722,
0.02134866639971733,
-0.02171674557030201,
0.0043507106602191925,
0.010159020312130451,
-0.03754420578479767,
0.04113667085766792,
-0.013957610353827477,
0.015135467983782291,
0.017373396083712578,
-0.0389576330780983,
0.020494718104600906,
-0.0301089808344841,
-0.014679048210382462,
-0.017491182312369347,
-0.02302711270749569,
0.0054512713104486465,
0.048498280346393585,
-0.012404310517013073,
0.0039200568571686745,
-0.023733826354146004,
-0.015562441200017929,
-0.041313350200653076,
-0.014620155096054077,
-0.005789905320852995,
-0.02183453179895878,
-0.02670791745185852,
-0.023218514397740364,
0.0035188489127904177,
0.028636658564209938,
-0.014495007693767548,
0.02158423699438572,
0.024293309077620506,
0.02237929031252861,
-0.0284010861068964,
-0.003551976289600134,
-0.0050721485167741776,
-0.04328626021742821,
0.026222050189971924,
-0.03189048916101456,
-0.036984723061323166,
0.003380818758159876,
-0.07385165989398956,
-0.04137224331498146,
-0.01196261402219534,
0.0031102797947824,
-0.004457454197108746,
0.031183775514364243,
0.032126061618328094,
-0.009813024662435055,
0.033451151102781296,
-0.00775913568213582,
0.002166153397411108,
0.04157836735248566,
0.003165491856634617,
-0.0151060214266181,
-0.012463203631341457,
-0.042461760342121124,
0.016401665285229683,
0.029637837782502174,
0.010755310766398907,
0.023380469530820847,
-0.003783866995945573,
-0.019331585615873337,
-0.02105420082807541,
-0.030329829081892967,
-0.018801549449563026,
-0.0170053169131279,
0.005513845011591911,
-0.0009809343609958887,
0.050971779972314835,
-0.00651134317740798,
-0.07832751423120499,
0.003704729722812772,
-0.05904010310769081,
-0.007276950404047966,
0.009997065179049969,
0.01768258400261402,
-0.002399884397163987,
0.01190372183918953,
-0.015135467983782291,
-0.06961137056350708,
0.2558306157588959,
0.06678451597690582,
0.013552721589803696,
0.007987345568835735,
0.03510015085339546,
0.05244410037994385,
0.019169628620147705,
-0.0004785045748576522,
0.019949959591031075,
0.010880458168685436,
-0.013390766456723213,
0.005311400629580021,
0.02513253316283226,
-0.025603676214814186,
0.00506846746429801,
0.013891356065869331,
-0.0463486909866333,
0.0017207760829478502,
-0.002147749299183488,
-0.025191426277160645,
-0.06896355003118515,
0.004096735268831253,
-0.008878100663423538,
-0.014288882724940777,
0.024779174476861954,
-0.019935237243771553,
0.020259147509932518,
-0.011550364084541798,
0.006051242351531982,
-0.043904636055231094,
0.0429329015314579,
-0.02617788128554821,
0.0381920263171196,
-0.05250299349427223,
-0.0225117988884449,
0.008848654106259346,
-0.015341592952609062,
-0.0071591646410524845,
0.010902542620897293,
0.034894026815891266,
0.009437582455575466,
0.02645762264728546,
0.004380157217383385,
-0.017314504832029343,
-0.0009597697644494474,
0.029740899801254272,
-0.05641936883330345,
0.056596048176288605,
0.054093100130558014,
0.0020446868147701025,
0.010166381485760212,
-0.032126061618328094,
0.03465845435857773,
-0.023998845368623734,
-0.02486751414835453,
-0.02056833542883396,
0.004906512331217527,
0.00805359985679388,
-0.04472913593053818,
0.013449659571051598,
0.0184334684163332,
0.010770034044981003,
0.013508551754057407,
0.02120143361389637,
0.02380744367837906,
0.04078331217169762,
0.011830105446279049,
0.06943469494581223,
-0.018389299511909485,
0.014053311198949814,
-0.04031217098236084,
-0.003233586670830846,
-0.06213197857141495,
0.00002263119677081704,
0.023380469530820847,
-0.020421102643013,
-0.002191919134929776,
0.06177861988544464,
0.028695551678538322,
-0.01020319014787674,
0.0039274184964597225,
-0.024573050439357758,
-0.00490283127874136,
-0.009592176415026188,
0.03792700916528702,
0.01806538738310337,
-0.0142005430534482,
-0.02095113880932331,
-0.010033872909843922,
0.041696153581142426,
0.03377506136894226,
-0.0046856640838086605,
0.006724829785525799,
-0.024514157325029373,
-0.0013517753686755896
] |
1208_2 | Julius's work with the ICS brought the family to British India, where his grandfather had been a general in the Bengal Army. However, both Julius and Ethel wanted their children to be brought up in Britain, so they moved to Maida Vale, London, where Alan Turing was born on 23 June 1912, as recorded by a blue plaque on the outside of the house of his birth, later the Colonnade Hotel. Turing had an elder brother, John (the father of Sir John Dermot Turing, 12th Baronet of the Turing baronets).
Turing's father's civil service commission was still active and during Turing's childhood years, his parents travelled between Hastings in the United Kingdom and India, leaving their two sons to stay with a retired Army couple. At Hastings, Turing stayed at Baston Lodge, Upper Maze Hill, St Leonards-on-Sea, now marked with a blue plaque. The plaque was unveiled on 23 June 2012, the centenary of Turing's birth.
Very early in life, Turing showed signs of the genius that he was later to display prominently. His parents purchased a house in Guildford in 1927, and Turing lived there during school holidays. The location is also marked with a blue plaque.
School
Turing's parents enrolled him at St Michael's, a primary school at 20 Charles Road, St Leonards-on-Sea, from the age of six to nine. The headmistress recognised his talent, noting that she has "...had clever boys and hardworking boys, but Alan is a genius."
Between January 1922 and 1926, Turing was educated at Hazelhurst Preparatory School, an independent school in the village of Frant in Sussex (now East Sussex). In 1926, at the age of 13, he went on to Sherborne School, a boarding independent school in the market town of Sherborne in Dorset, where he boarded at Westcott House. The first day of term coincided with the 1926 General Strike, in Britain, but Turing was so determined to attend, that he rode his bicycle unaccompanied from Southampton to Sherborne, stopping overnight at an inn. | [
-0.0032973638735711575,
-0.00940084457397461,
0.030817804858088493,
-0.03177909553050995,
-0.004347006790339947,
-0.009344298392534256,
-0.033164482563734055,
-0.015818864107131958,
-0.004361143801361322,
-0.024611834436655045,
-0.020611174404621124,
-0.010623660869896412,
-0.00023104518186300993,
-0.03076125867664814,
-0.03672690689563751,
-0.004032467491924763,
-0.029941335320472717,
-0.006566454656422138,
-0.018066585063934326,
-0.009655303321778774,
0.05442593991756439,
0.04351247847080231,
-0.049251943826675415,
-0.0104257483035326,
0.02586999349296093,
0.008757628500461578,
0.03432368487119675,
0.02089390717446804,
0.03672690689563751,
0.045039232820272446,
0.057253263890743256,
0.007358104456216097,
0.029856516048312187,
-0.035171881318092346,
0.009323093108832836,
0.003249652683734894,
0.021374551579356194,
-0.07741206884384155,
0.040147967636585236,
-0.02089390717446804,
0.02595481276512146,
-0.05880828946828842,
0.019353017210960388,
-0.045972250401973724,
-0.025375211611390114,
0.00041879701893776655,
0.014475886709988117,
0.02123318612575531,
-0.008757628500461578,
-0.009902694262564182,
0.001390688819810748,
-0.0001329724764218554,
0.07520675659179688,
-0.0035712607204914093,
0.010305587202310562,
-0.045124053955078125,
-0.015352356247603893,
0.008432487025856972,
-0.031157083809375763,
-0.004180901683866978,
-0.0049124713987112045,
0.0013491625431925058,
0.02625168114900589,
-0.03765992447733879,
-0.008227505721151829,
0.023127490654587746,
0.0412788949906826,
0.011973707005381584,
-0.014603116549551487,
0.009153453633189201,
-0.004891266580671072,
-0.03995005413889885,
-0.025050070136785507,
-0.02898004651069641,
-0.003053507301956415,
-0.029262779280543327,
-0.02008811943233013,
0.0047357636503875256,
-0.036359354853630066,
0.027721889317035675,
0.0369248203933239,
-0.005827816668897867,
-0.019254060462117195,
0.001986193470656872,
-0.0242442823946476,
-0.038734305649995804,
0.036783453077077866,
0.07000448554754257,
-0.025898266583681107,
0.0008923733839765191,
0.044445496052503586,
0.015931956470012665,
0.00610701460391283,
0.003339773742482066,
0.03296656906604767,
-0.0009745424031279981,
0.0010107675334438682,
0.03842329978942871,
-0.012814835645258427,
0.007951841689646244,
0.05250336229801178,
0.04727281630039215,
0.0005809262511320412,
0.08097448945045471,
0.04178781434893608,
0.03774474188685417,
-0.08838207274675369,
0.02353745326399803,
-0.01983366161584854,
0.010510568507015705,
0.017246661707758904,
0.008291120640933514,
0.01969229429960251,
-0.026732325553894043,
0.01276535727083683,
0.03641590103507042,
-0.0480644665658474,
0.03336239606142044,
-0.05790354683995247,
0.059882670640945435,
-0.013959900476038456,
0.02616686187684536,
0.03421059250831604,
0.025558987632393837,
0.03466296195983887,
-0.009669439867138863,
-0.0438234843313694,
0.04054379090666771,
0.022604435682296753,
-0.03423886373639107,
0.0007828146917745471,
0.01200198009610176,
-0.03726409748196602,
-0.03245765343308449,
0.007937705144286156,
0.01583300158381462,
0.020526355132460594,
0.03042198158800602,
-0.040826525539159775,
-0.012454351410269737,
0.04136371612548828,
-0.018094858154654503,
0.00675376458093524,
0.0730014443397522,
0.00035694934194907546,
0.03726409748196602,
-0.0003218287311028689,
-0.012517966330051422,
-0.036953095346689224,
-0.015253400430083275,
-0.012595717795193195,
-0.021416962146759033,
-0.007591358385980129,
0.03683999925851822,
-0.022731665521860123,
0.025304527953267097,
-0.010666070505976677,
0.005043235141783953,
0.010093538090586662,
0.029121411964297295,
-0.03867775946855545,
0.011627360247075558,
0.0026541482657194138,
0.039299771189689636,
0.0015373561764135957,
-0.0006767901359125972,
-0.025035932660102844,
0.005820748396217823,
0.013147045858204365,
0.008142686448991299,
-0.0004380139580462128,
0.020328441634774208,
-0.0008420117083005607,
-0.009521005675196648,
0.04390830546617508,
0.06717716157436371,
0.0036331082228571177,
-0.005778338760137558,
-0.005654643289744854,
-0.028711451217532158,
-0.061465971171855927,
-0.013733714818954468,
0.04249464347958565,
-0.0006547016673721373,
-0.012291780672967434,
-0.00855264812707901,
-0.003986523486673832,
0.01791108213365078,
0.01495653111487627,
-0.027382610365748405,
0.02540348470211029,
0.03715100511908531,
-0.03551115840673447,
0.025643806904554367,
-0.01596023142337799,
0.01863204874098301,
-0.03446505218744278,
-0.014186086133122444,
-0.03084607981145382,
0.008149754256010056,
-0.016568103805184364,
0.04045897349715233,
0.053719110786914825,
0.017034612596035004,
-0.0007457060855813324,
-0.004463633988052607,
0.046565987169742584,
0.07464128732681274,
-0.02804703079164028,
-0.010934666730463505,
0.03765992447733879,
0.009033292531967163,
0.019946753978729248,
0.007365172728896141,
0.03664208948612213,
0.024710791185498238,
-0.07317108660936356,
0.019126830622553825,
0.0074924021027982235,
0.04877129942178726,
0.012652263976633549,
0.0567726194858551,
-0.013048089109361172,
0.010355065576732159,
-0.002710694679990411,
-0.00029355549486353993,
-0.004583795089274645,
0.06683788448572159,
0.01970643177628517,
0.012645196169614792,
-0.00810734461992979,
0.031807366758584976,
-0.031552910804748535,
0.014998940750956535,
0.031043991446495056,
0.006410951726138592,
-0.026138588786125183,
0.07254907488822937,
-0.03963904827833176,
0.021798649802803993,
-0.010920530185103416,
-0.0005009660380892456,
0.06237071380019188,
0.004216243512928486,
0.040430698543787,
0.05140070617198944,
0.010270245373249054,
-0.004951347131282091,
-0.03630280867218971,
-0.0009701247327029705,
-0.011662702076137066,
0.05089179053902626,
-0.02714228816330433,
0.0007434972212649882,
-0.021685557439923286,
0.016327781602740288,
0.020399125292897224,
0.02586999349296093,
0.002890936331823468,
-0.042777374386787415,
-0.006506374105811119,
0.005085644777864218,
0.012970337644219398,
0.0042798579670488834,
0.035256702452898026,
0.020695993676781654,
0.00971891824156046,
0.01570577174425125,
-0.0015285207191482186,
0.0030976843554526567,
-0.040656883269548416,
-0.05976957827806473,
-0.06825154274702072,
-0.014369862154126167,
-0.07136160135269165,
-0.017925219610333443,
0.002890936331823468,
-0.05162689462304115,
0.0782037153840065,
-0.018151404336094856,
0.0004634156939573586,
-0.024201873689889908,
0.012072663754224777,
0.03983696177601814,
0.03406922519207001,
-0.022236883640289307,
0.03700964152812958,
0.015027214772999287,
-0.010171289555728436,
0.019027873873710632,
-0.004463633988052607,
-0.03466296195983887,
-0.04532196745276451,
-0.014815165661275387,
0.016737744212150574,
-0.059373755007982254,
0.022392386570572853,
0.03952595591545105,
-0.07752516120672226,
-0.014942394569516182,
-0.007888227701187134,
-0.023636408150196075,
0.01421435922384262,
0.013196523301303387,
-0.006287256255745888,
0.033079661428928375,
0.03573734685778618,
-0.0498739518225193,
0.02374950237572193,
0.024413922801613808,
-0.036020077764987946,
0.0010611291509121656,
-0.01888650842010975,
-0.01529581006616354,
-0.0421270914375782,
0.03751855716109276,
-0.013853875920176506,
0.03245765343308449,
-0.033588580787181854,
-0.050948336720466614,
-0.01150719914585352,
0.010673139244318008,
-0.007407582830637693,
0.002493344247341156,
-0.015847137197852135,
0.05264472961425781,
-0.002339608734473586,
-0.02923450618982315,
0.01625709980726242,
-0.015041351318359375,
-0.02625168114900589,
-0.02714228816330433,
-0.025205573067069054,
0.02365054562687874,
-0.024498742073774338,
-0.0006511675310321152,
0.04026105999946594,
0.014143676497042179,
0.036274537444114685,
-0.03893221914768219,
-0.04144853353500366,
0.01926819607615471,
0.005181066691875458,
0.04079825058579445,
-0.0047993785701692104,
-0.00042100585415028036,
-0.006969347596168518,
-0.0112739447504282,
0.0053507061675190926,
-0.016794290393590927,
0.002217680448666215,
0.0390453115105629,
0.015069624409079552,
-0.021388687193393707,
-0.049930498003959656,
0.03709445893764496,
-0.015309946611523628,
0.01521099079400301,
-0.05196617171168327,
0.0652545839548111,
-0.010934666730463505,
0.02178451232612133,
0.021515917032957077,
0.0502980500459671,
-0.08956954628229141,
-0.02824494242668152,
0.007775134406983852,
-0.013818534091114998,
0.03743373975157738,
-0.037546832114458084,
0.02447046898305416,
-0.015521995723247528,
-0.0417029932141304,
0.0019066750537604094,
-0.012942064553499222,
-0.026520276442170143,
0.01969229429960251,
-0.0007161075482144952,
0.03757510334253311,
-0.05207926407456398,
0.011493062600493431,
-0.012496761977672577,
-0.023212309926748276,
0.020611174404621124,
-0.011768726631999016,
0.014405203983187675,
0.013627690263092518,
0.050778698176145554,
0.03228801116347313,
0.005534482188522816,
0.0018130199750885367,
0.011436516419053078,
-0.0003556240408215672,
-0.05781872570514679,
-0.000570323783904314,
-0.03016752190887928,
0.09058738499879837,
0.01901373825967312,
-0.022307567298412323,
-0.03884739801287651,
0.02842871844768524,
-0.00653111282736063,
-0.038564667105674744,
0.05117452144622803,
0.02199656143784523,
0.018264498561620712,
-0.017246661707758904,
0.05781872570514679,
0.03135499730706215,
-0.0042268456891179085,
-0.04676390066742897,
-0.006842118222266436,
0.037801291793584824,
-0.014475886709988117,
0.06627241522073746,
-0.007252079900354147,
-0.06853427737951279,
-0.020780814811587334,
0.005619301926344633,
0.017769716680049896,
-0.05493485927581787,
-0.0240322332829237,
0.02982824295759201,
0.04701836034655571,
0.011415311135351658,
-0.022703392431139946,
-0.018815824761986732,
-0.016115732491016388,
0.020201213657855988,
0.003378649242222309,
0.06559386104345322,
-0.04936503618955612,
-0.06044813618063927,
-0.006357939448207617,
-0.01685083657503128,
-0.01646914891898632,
0.0459439754486084,
-0.011210329830646515,
-0.0038133501075208187,
-0.014412271790206432,
0.008383008651435375,
0.04812101274728775,
0.0026753530837595463,
-0.0006171513232402503,
-0.025474168360233307,
-0.003595999674871564,
-0.0003443589375820011,
0.017684897407889366,
-0.0021310937590897083,
-0.02502179704606533,
0.022180337458848953,
-0.04224018380045891,
0.021855195984244347,
-0.006661876570433378,
-0.0021240252535790205,
-0.03681172803044319,
-0.012828972190618515,
0.02991306222975254,
0.0019473177380859852,
-0.0528426393866539,
-0.02714228816330433,
0.021332141011953354,
0.031468089669942856,
-0.004368212074041367,
-0.041165802627801895,
0.06050468236207962,
0.035850439220666885,
0.000570323783904314,
-0.0029121413826942444,
0.017501121386885643,
-0.013655963353812695,
-0.022576162591576576,
-0.011620291508734226,
-0.04147680848836899,
0.055076226592063904,
-0.01608745940029621,
0.01634191907942295,
-0.05080696940422058,
0.002115190029144287,
-0.03799920156598091,
-0.027212969958782196,
-0.01629950851202011,
-0.012510898523032665,
0.006046934053301811,
0.024527015164494514,
-0.03898876532912254,
-0.039469409734010696,
-0.021600736305117607,
-0.0229719877243042,
0.023806048557162285,
0.04003487527370453,
0.0027884459123015404,
-0.029036592692136765,
0.026958512142300606,
0.022788211703300476,
0.02216620184481144,
-0.028951773419976234,
-0.042013999074697495,
0.010241972282528877,
0.0035800959449261427,
0.010609524324536324,
0.00221237912774086,
0.03449332341551781,
-0.008623330853879452,
0.000703738012816757,
-0.052277177572250366,
-0.0490257553756237,
-0.029799969866871834,
-0.017416302114725113,
-0.04458686336874962,
0.05685743689537048,
-0.0563485212624073,
-0.016200553625822067,
-0.002493344247341156,
-0.00035717024002224207,
-0.00564757501706481,
0.029686877503991127,
-0.007315694820135832,
0.013394435867667198,
0.050184957683086395,
0.06672479212284088,
-0.030139248818159103,
0.036953095346689224,
0.02726951614022255,
-0.024159463122487068,
-0.007881158962845802,
0.04549160599708557,
-0.045293692499399185,
-0.014440544880926609,
-0.1049501821398735,
0.01850482076406479,
-0.03101571835577488,
-0.0007836982258595526,
-0.02842871844768524,
-0.012574512511491776,
-0.046820446848869324,
0.0009568716632202268,
0.002383785555139184,
-0.004237448330968618,
0.005170464515686035,
-0.012694674544036388,
-0.012878449633717537,
0.026322364807128906,
0.01570577174425125,
-0.06825154274702072,
-0.01727493479847908,
0.019777115434408188,
0.014475886709988117,
-0.02965860441327095,
-0.011733384802937508,
0.042268458753824234,
0.03228801116347313,
-0.0216996930539608,
-0.026053769513964653,
-0.04953467473387718,
-0.037037912756204605,
-0.02760879509150982,
0.049591220915317535,
-0.021756239235401154,
0.03791438415646553,
0.011118441820144653,
0.02080908790230751,
0.0009383173892274499,
-0.02455528825521469,
-0.04311665520071983,
-0.041335441172122955,
0.002502179704606533,
0.028131850063800812,
0.03587871044874191,
-0.00621303915977478,
0.019762977957725525,
-0.013952832669019699,
0.003820418380200863,
0.01171924825757742,
-0.044699955731630325,
-0.043427661061286926,
-0.03689654543995857,
0.007153123617172241,
-0.056235428899526596,
0.03508706018328667,
0.032994844019412994,
0.010333860293030739,
0.013288411311805248,
-0.005110383965075016,
0.0645194798707962,
-0.0584690123796463,
-0.0352284274995327,
0.06005231291055679,
-0.028103576973080635,
-0.016624651849269867,
-0.006612398661673069,
0.021134229376912117,
-0.05739462748169899,
-0.022222748026251793,
-0.010369202122092247,
-0.04195745289325714,
-0.005997456144541502,
0.026831282302737236,
-0.0003534152056090534,
-0.043258022516965866,
-0.007704451214522123,
0.03409750014543533,
0.050354599952697754,
-0.004502509720623493,
0.014546569436788559,
-0.009605824947357178,
-0.015140307135879993,
0.023495042696595192,
0.009301887825131416,
-0.05943030118942261,
-0.009266546927392483,
0.0331079363822937,
-0.001024020602926612,
0.006262517534196377,
0.008602126501500607,
-0.0011556677054613829,
-0.050269778817892075,
-0.02914968505501747,
0.025247981771826744,
-0.004537851084023714,
-0.0450957790017128,
0.0022795279510319233,
0.022830622270703316,
-0.014263837598264217,
0.011599087156355381,
-0.008043729700148106,
-0.03740546479821205,
-0.0008455458446405828,
-0.05445421487092972,
0.02502179704606533,
0.028513537719845772,
0.0067290253937244415,
-0.03864948824048042,
0.02872558683156967,
0.007506539113819599,
-0.021162502467632294,
0.03169427439570427,
-0.011648565530776978,
-0.019126830622553825,
0.030619893223047256,
0.0618617981672287,
-0.03327757492661476,
-0.00887072179466486,
-0.06191834434866905,
-0.030817804858088493,
-0.004145560320466757,
-0.00684918649494648,
-0.006584125105291605,
-0.02731192670762539,
0.01391042210161686,
-0.005128054413944483,
-0.005711189471185207,
0.008587989024817944,
-0.022689256817102432,
-0.021897606551647186,
0.02322644740343094,
-0.026393046602606773,
-0.04998704791069031,
-0.016242962330579758,
0.030224068090319633,
-0.016016777604818344,
-0.02782084420323372,
-0.036698635667562485,
-0.008877789601683617,
0.017812125384807587,
0.016158143058419228,
-0.007845817133784294,
-0.008199232630431652,
-0.00897674635052681,
-0.030308887362480164,
-0.05578305572271347,
-0.03864948824048042,
-0.03378649428486824,
0.006241312250494957,
0.0004494999593589455,
0.011726316064596176,
-0.01943783648312092,
0.010150084272027016,
0.06169215962290764,
-0.018405864015221596,
0.04919539764523506,
0.01757180318236351,
0.005294159520417452,
-0.044954415410757065,
0.03952595591545105,
0.0031754355877637863,
-0.006877460051327944,
-0.05236199498176575,
0.00834059901535511,
0.010786231607198715,
0.01442640833556652,
-0.03613317012786865,
0.042268458753824234,
-0.01421435922384262,
-0.003979455213993788,
0.058695197105407715,
-0.029347598552703857,
0.0016195251373574138,
0.0408547967672348,
-0.007043565157800913,
-0.021035272628068924,
0.020229486748576164,
0.036189716309309006,
0.009860283695161343,
-0.041250623762607574,
-0.008906062692403793,
0.007025894243270159,
0.02413119003176689,
0.01002285536378622,
-0.046792171895504,
0.005513277370482683,
-0.001989727606996894,
0.06638551503419876,
-0.05863865092396736,
-0.023707091808319092,
-0.012821903452277184,
0.030195794999599457,
-0.009033292531967163,
0.009238273836672306,
0.04215536639094353,
0.048912663012742996,
0.03203355520963669,
-0.012631059624254704,
0.03986523672938347,
0.02799048461019993,
0.02034257911145687,
0.012051458470523357,
-0.00842541828751564,
-0.0026188066694885492,
-0.004099616315215826,
0.02684541791677475,
-0.05239026993513107,
0.01940956339240074,
-0.06519803404808044,
-0.006707820575684309,
-0.023848457261919975,
-0.00022342467855196446,
-0.05779045447707176,
0.007852885872125626,
0.014504159800708294,
-0.042833924293518066,
0.02157246321439743,
-0.02859835885465145,
-0.02718469686806202,
-0.0528426393866539,
-0.009450322948396206,
0.04399312287569046,
-0.03672690689563751,
-0.0502980500459671,
0.006174163427203894,
0.0020126996096223593,
-0.01808072254061699,
0.011408242397010326,
-0.03952595591545105,
0.004311665426939726,
0.006926937960088253,
0.013493392616510391,
0.04617016389966011,
0.04786655679345131,
0.03876258060336113,
-0.019239922985434532,
0.0037815426476299763,
0.004619136918336153,
-0.0018130199750885367,
0.003111820900812745,
0.013323753140866756,
-0.044191036373376846,
0.010828642174601555,
0.04037415236234665,
0.01297740638256073,
0.012249371036887169,
-0.04130716994404793,
-0.022364113479852676,
-0.00020475992641877383,
-0.008178027346730232,
-0.011132579296827316,
0.02131800539791584,
0.0014808096457272768,
0.03749028593301773,
-0.04139198735356331,
0.030450254678726196,
-0.0018395261140540242,
0.009202932007610798,
0.027919800952076912,
-0.015394765883684158,
-0.028951773419976234,
0.02093631587922573,
0.0894564539194107,
0.010135947726666927,
0.018533093854784966,
0.0021293265745043755,
0.018914781510829926,
0.02799048461019993,
0.014772755093872547,
-0.047979649156332016,
0.05182480439543724,
0.018236223608255386,
0.010100606828927994,
-0.017684897407889366,
0.05781872570514679,
0.056602977216243744,
-0.03344721347093582,
0.031807366758584976,
0.01837759092450142,
0.020399125292897224,
0.003546521533280611,
0.0029633864760398865,
-0.03344721347093582,
-0.017925219610333443,
-0.007358104456216097,
-0.018024174496531487,
0.044106218963861465,
-0.04557642340660095,
-0.043201472610235214,
-0.020031573250889778,
-0.10941734910011292,
0.06649860739707947,
0.022618573158979416,
0.0071248505264520645,
0.00991683080792427,
0.017260799184441566,
0.013344958424568176,
0.05892138183116913,
-0.00844662357121706,
-0.010906392708420753,
0.06819500029087067,
0.038706034421920776,
0.026067905128002167,
-0.009457390755414963,
-0.015635088086128235,
-0.018278634175658226,
-0.00193848239723593,
0.029375871643424034,
0.022392386570572853,
0.02242065966129303,
0.01676601730287075,
-0.010991212911903858,
-0.04455858841538429,
0.041505079716444016,
-0.017812125384807587,
-0.05179653316736221,
0.010538841597735882,
-0.017416302114725113,
-0.005672314204275608,
-0.01829277165234089,
0.028018757700920105,
-0.024286692962050438,
0.02186933346092701,
0.02046980895102024,
-0.016963928937911987,
-0.030817804858088493,
0.015734044834971428,
-0.023636408150196075,
0.042692556977272034,
0.015239263884723186,
-0.0034740713890641928,
0.02362227253615856,
0.0030694110319018364,
0.027297791093587875,
-0.00043116655433550477,
-0.012602786533534527,
-0.024371512234210968,
-0.007640836760401726,
0.01939542591571808,
0.04608534276485443,
-0.025035932660102844,
0.017388027161359787,
-0.04961949586868286,
-0.026831282302737236,
-0.021006999537348747,
0.03042198158800602,
-0.04198572784662247,
0.00030526239424943924,
-0.04221191257238388,
-0.02570035308599472,
-0.03186391294002533,
0.040741704404354095,
0.002321937819942832,
0.01926819607615471,
0.027085741981863976,
0.02400396019220352,
-0.019720567390322685,
0.000016773416064097546,
0.004046604037284851,
-0.05108970031142235,
0.0003167483664583415,
-0.03975214064121246,
-0.03471950814127922,
0.025474168360233307,
-0.04662253335118294,
-0.06163560971617699,
-0.03562425076961517,
0.018236223608255386,
-0.0025781639851629734,
0.022152064368128777,
0.03220319375395775,
-0.02565794438123703,
0.01087105181068182,
-0.009457390755414963,
0.006870391312986612,
0.03389958664774895,
-0.004583795089274645,
-0.04379521310329437,
-0.012489693239331245,
-0.04846029356122017,
0.021219048649072647,
0.022321704775094986,
-0.019734704867005348,
0.003196640405803919,
-0.0002467279846314341,
-0.026138588786125183,
-0.027198834344744682,
-0.030648166313767433,
-0.03551115840673447,
-0.015140307135879993,
0.0041738334111869335,
-0.02089390717446804,
0.01570577174425125,
-0.0025887663941830397,
-0.08385835587978363,
0.011054827831685543,
-0.06644205749034882,
-0.05289918929338455,
-0.004845322575420141,
0.04037415236234665,
-0.0017149472841992974,
0.00991683080792427,
-0.03621799126267433,
-0.011514266952872276,
0.23342368006706238,
0.06474566459655762,
0.011139647103846073,
-0.02068185806274414,
0.03774474188685417,
0.06921283155679703,
0.00013551264419220388,
0.008064934983849525,
0.055669963359832764,
0.005651108920574188,
-0.004926607944071293,
0.021968288347125053,
0.005099781323224306,
-0.025205573067069054,
-0.003823952516540885,
0.002721297089010477,
-0.0442475825548172,
0.008439554832875729,
0.008064934983849525,
-0.054228030145168304,
-0.0381971150636673,
-0.020314306020736694,
-0.022434797137975693,
-0.03211837261915207,
0.012312985956668854,
-0.017670759931206703,
0.031977009028196335,
-0.03175082057714462,
-0.03200528025627136,
-0.023113355040550232,
0.00013838414452038705,
-0.01579059101641178,
0.019197514280676842,
-0.0112739447504282,
0.010729685425758362,
0.025643806904554367,
-0.031383268535137177,
-0.001071731559932232,
-0.010567114688456059,
-0.0037002572789788246,
-0.021925879642367363,
-0.023000260815024376,
0.016709471121430397,
0.009535142220556736,
0.016695333644747734,
0.05663125216960907,
-0.046226710081100464,
0.03415404632687569,
0.05193789675831795,
-0.015267536975443363,
0.01952265575528145,
-0.031722549349069595,
0.02965860441327095,
0.004615602549165487,
0.011577881872653961,
-0.0037426669150590897,
0.0022441865876317024,
0.013069294393062592,
-0.04761209711432457,
0.005548618733882904,
-0.015931956470012665,
-0.0240322332829237,
-0.006287256255745888,
0.046396348625421524,
-0.0206394474953413,
0.033843040466308594,
0.04246637225151062,
0.028796270489692688,
-0.019197514280676842,
0.03935631737112999,
-0.02782084420323372,
-0.014574842527508736,
-0.07848645001649857,
0.011528403498232365,
0.004240982234477997,
-0.012242302298545837,
-0.02804703079164028,
0.0515703447163105,
0.014588980004191399,
-0.015097897499799728,
-0.00032138696406036615,
-0.018349317833781242,
-0.002602902939543128,
-0.003421059111133218,
0.03836675360798836,
0.015946093946695328,
-0.00887072179466486,
-0.011012417264282703,
-0.03536979481577873,
0.05824282392859459,
0.045293692499399185,
0.028909362852573395,
-0.004071343224495649,
-0.006160026881843805,
-0.0035818631295114756
] |
1208_3 | Turing's natural inclination towards mathematics and science did not earn him respect from some of the teachers at Sherborne, whose definition of education placed more emphasis on the classics. His headmaster wrote to his parents: "I hope he will not fall between two stools. If he is to stay at public school, he must aim at becoming educated. If he is to be solely a Scientific Specialist, he is wasting his time at a public school". Despite this, Turing continued to show remarkable ability in the studies he loved, solving advanced problems in 1927 without having studied even elementary calculus. In 1928, aged 16, Turing encountered Albert Einstein's work; not only did he grasp it, but it is possible that he managed to deduce Einstein's questioning of Newton's laws of motion from a text in which this was never made explicit.
Christopher Morcom
At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom (13 July 1911 – 13 February 1930), who has been described as Turing's "first love". Their relationship provided inspiration in Turing's future endeavours, but it was cut short by Morcom's death, in February 1930, from complications of bovine tuberculosis, contracted after drinking infected cow's milk some years previously.
The event caused Turing great sorrow. He coped with his grief by working that much harder on the topics of science and mathematics that he had shared with Morcom. In a letter to Morcom's mother, Frances Isobel Morcom (née Swan), Turing wrote:
Turing's relationship with Morcom's mother continued long after Morcom's death, with her sending gifts to Turing, and him sending letters, typically on Morcom's birthday. A day before the third anniversary of Morcom's death (13 February 1933), he wrote to Mrs. Morcom:
Some have speculated that Morcom's death was the cause of Turing's atheism and materialism. Apparently, at this point in his life he still believed in such concepts as a spirit, independent of the body and surviving death. In a later letter, also written to Morcom's mother, Turing wrote: | [
0.035742953419685364,
-0.03865400701761246,
0.034182388335466385,
-0.0038751543033868074,
-0.012882168404757977,
-0.009610982611775398,
-0.007634016219526529,
0.005848369095474482,
-0.026484597474336624,
0.00999362114816904,
-0.029650744050741196,
-0.007446448318660259,
0.027429940178990364,
-0.05059833452105522,
-0.052729107439517975,
-0.011696738190948963,
-0.0012341972906142473,
-0.00785534642636776,
-0.041024867445230484,
-0.014412722550332546,
0.04537644237279892,
0.05437970533967018,
-0.03002588078379631,
-0.020512433722615242,
-0.010338746011257172,
0.0034962669014930725,
0.0283602774143219,
0.009018267504870892,
0.038744039833545685,
0.03862399607896805,
0.04312562569975853,
0.03739355131983757,
0.0036875861696898937,
-0.05173875018954277,
0.0011844916734844446,
-0.019582096487283707,
0.042195290327072144,
-0.08655136078596115,
0.033762235194444656,
-0.015260529704391956,
0.019552085548639297,
-0.05744081363081932,
0.02366357482969761,
-0.036433201283216476,
-0.04468619450926781,
-0.0020913828630000353,
0.019251976162195206,
0.002976703690364957,
-0.011239072307944298,
-0.029320625588297844,
0.004779231734573841,
-0.014585285447537899,
0.0433657132089138,
-0.02360355295240879,
0.027700036764144897,
-0.045586518943309784,
-0.01056382805109024,
-0.019161943346261978,
-0.04225531220436096,
0.028960494324564934,
0.03103124536573887,
0.021067634224891663,
0.022343097254633904,
-0.045556508004665375,
-0.009445922449231148,
0.021367743611335754,
0.019747156649827957,
0.02207299880683422,
-0.035352811217308044,
0.002667216584086418,
-0.0019957232289016247,
-0.006910004187375307,
-0.03430242836475372,
-0.0035487860441207886,
0.02663465216755867,
-0.03793374449014664,
0.0051881298422813416,
-0.039464302361011505,
-0.02852533757686615,
0.025509243831038475,
0.03100123442709446,
0.0013758110580965877,
-0.006985031068325043,
0.037543606013059616,
-0.015132984146475792,
-0.039884451776742935,
-0.010458789765834808,
0.047747302800416946,
-0.014855382964015007,
-0.029575716704130173,
0.014285176061093807,
0.02594440057873726,
-0.024849005043506622,
0.02438383549451828,
0.04870764911174774,
0.004118992481380701,
-0.01676107384264469,
0.01084142830222845,
-0.006609895266592503,
-0.0027103570755571127,
0.04501631110906601,
0.06332294642925262,
-0.01568068191409111,
0.05284915119409561,
-0.01198184210807085,
0.02735491283237934,
-0.06302283704280853,
0.04657687619328499,
0.0031849041115492582,
-0.007000036537647247,
0.012311961501836777,
0.010293730534613132,
0.02193794958293438,
0.016520986333489418,
0.0112465750426054,
0.049998119473457336,
-0.014270170591771603,
0.010211200453341007,
-0.06470344960689545,
0.027234869077801704,
-0.007780319545418024,
0.01256705354899168,
-0.0038357649464160204,
0.032261691987514496,
0.03622312471270561,
0.01988220401108265,
-0.030821168795228004,
0.045556508004665375,
0.033762235194444656,
-0.01676107384264469,
0.018231606110930443,
0.04168510437011719,
0.0009894210379570723,
-0.02549423836171627,
-0.01724124699831009,
-0.0029860821086913347,
-0.0021288965363055468,
0.006898750085383654,
-0.04978804290294647,
-0.028285250067710876,
0.006489851512014866,
0.0027253625448793173,
0.012934687547385693,
0.07082566618919373,
-0.004032711498439312,
-0.003601304953917861,
-0.036073070019483566,
-0.0008238923037424684,
-0.011224066838622093,
-0.004535393323749304,
-0.04687698557972908,
-0.013324828818440437,
-0.03448249399662018,
0.01398506760597229,
-0.02582435868680477,
-0.013354839757084846,
-0.008943241089582443,
-0.023753607645630836,
0.002177664078772068,
0.028675390407443047,
-0.041024867445230484,
0.008920732885599136,
0.007232620846480131,
0.07526727765798569,
-0.004073976073414087,
0.017031172290444374,
-0.029680754989385605,
-0.013752483762800694,
0.020782530307769775,
0.0013495514867827296,
-0.023873651400208473,
0.018141573294997215,
-0.02702479250729084,
0.006017180625349283,
0.02953070029616356,
0.06047191470861435,
0.008748169988393784,
0.0011347861727699637,
-0.04912780225276947,
-0.013752483762800694,
-0.03367220237851143,
-0.026619646698236465,
0.06230257824063301,
0.029320625588297844,
-0.007960384711623192,
-0.014952918514609337,
0.006354802753776312,
0.004295306280255318,
0.023363465443253517,
-0.0018850581254810095,
0.011044002138078213,
0.009941102005541325,
-0.06578383594751358,
0.009768540039658546,
-0.00030315673211589456,
0.013910040259361267,
-0.05251903086900711,
-0.003991446457803249,
-0.022118015214800835,
-0.012949693016707897,
-0.03283189609646797,
0.06344299018383026,
0.023588547483086586,
0.06308285892009735,
-0.03214164823293686,
-0.021367743611335754,
0.02989083155989647,
0.06011178344488144,
-0.025779342278838158,
-0.012184415012598038,
0.03931424766778946,
-0.02148778736591339,
0.019342008978128433,
0.00704130157828331,
0.006122218444943428,
-0.02894548885524273,
-0.06524363905191422,
0.01493041031062603,
-0.03355215862393379,
0.05936150997877121,
0.02474396675825119,
0.05735078081488609,
0.006549873389303684,
0.017916493117809296,
-0.0013223541900515556,
-0.015800725668668747,
-0.015485611744225025,
0.06992533802986145,
-0.0260794498026371,
0.020647481083869934,
-0.007750308606773615,
0.015950780361890793,
-0.019011888653039932,
0.02193794958293438,
0.03655324503779411,
0.031211309134960175,
0.0038789056707173586,
0.07730801403522491,
0.005319427698850632,
0.008365531452000141,
-0.02643958106637001,
-0.01036875694990158,
0.06542370468378067,
0.006110964342951775,
0.0009462804300710559,
0.04696701839566231,
0.04639681428670883,
0.012131895869970322,
-0.01685110665857792,
0.03286190703511238,
-0.0329219289124012,
0.01865175925195217,
0.022793259471654892,
-0.040994856506586075,
-0.0397644080221653,
0.044025953859090805,
0.026379559189081192,
0.04273548722267151,
-0.015440595336258411,
-0.052669085562229156,
0.0048655131831765175,
0.004359079524874687,
0.045556508004665375,
0.002297707600519061,
0.03655324503779411,
0.0050755892880260944,
0.007060058414936066,
0.018951866775751114,
0.012139398604631424,
0.00863562896847725,
-0.02666466310620308,
-0.07136586308479309,
-0.05221892148256302,
0.00018663013179320842,
-0.07598753273487091,
-0.0006274148472584784,
0.004415350034832954,
-0.023003336042165756,
0.06452338397502899,
-0.01965712383389473,
0.001869114814326167,
-0.015995796769857407,
-0.004422852769494057,
0.038774050772190094,
-0.0007446448435075581,
-0.015110475942492485,
-0.019026894122362137,
-0.013497390784323215,
-0.024698950350284576,
0.016340920701622963,
0.015050454065203667,
-0.05245900899171829,
-0.0011460402747616172,
-0.03790373355150223,
0.018756797537207603,
-0.021592823788523674,
0.004043965600430965,
0.008343023248016834,
-0.061432261019945145,
-0.000945811509154737,
-0.006763700861483812,
-0.0009734777850098908,
0.02669467404484749,
0.0072401235811412334,
-0.00034254600177519023,
0.015298043377697468,
0.0040777274407446384,
-0.04756723716855049,
0.050058137625455856,
-0.013392352499067783,
-0.062122512608766556,
-0.020677492022514343,
-0.028870461508631706,
0.005206886678934097,
-0.037603627890348434,
0.06536368280649185,
0.016385937109589577,
0.017616383731365204,
-0.01452526357024908,
-0.03169148415327072,
-0.0015343059785664082,
0.014142625033855438,
-0.009115803055465221,
-0.02321341261267662,
0.0011535430094227195,
0.03787372261285782,
-0.03211163729429245,
-0.04879768192768097,
0.0065048569813370705,
-0.0252691563218832,
-0.0208575576543808,
0.018996883183717728,
-0.014742841944098473,
0.0283602774143219,
-0.028345271944999695,
-0.0016027683159336448,
0.013347337022423744,
0.012154404073953629,
0.00443410687148571,
-0.04690699651837349,
-0.011449148878455162,
0.02255317196249962,
0.013317326083779335,
0.052669085562229156,
-0.03244175761938095,
-0.004951794166117907,
0.03514273464679718,
-0.011554187163710594,
-0.009460927918553352,
-0.01036875694990158,
0.027114825323224068,
0.008853208273649216,
0.011374121531844139,
0.00033480883575975895,
-0.031151289120316505,
0.048557594418525696,
-0.012874665670096874,
0.0018850581254810095,
-0.04459616169333458,
0.03331207111477852,
-0.0316314622759819,
0.009415912441909313,
0.022088004276156425,
0.00732640502974391,
-0.07124581933021545,
-0.04195520281791687,
0.02663465216755867,
-0.006043439731001854,
0.036133091896772385,
-0.03262181952595711,
0.032741863280534744,
0.018336644396185875,
-0.01033124327659607,
-0.027760058641433716,
-0.01036875694990158,
-0.009941102005541325,
0.016250887885689735,
-0.004899275489151478,
0.013347337022423744,
-0.04033461585640907,
0.004167760256677866,
0.002841654699295759,
-0.0011000861413776875,
-0.0018634877633303404,
-0.0020369880367070436,
-0.008980754762887955,
0.006512359715998173,
0.06920507550239563,
0.02552424930036068,
-0.014067597687244415,
0.013797500170767307,
-0.04540645331144333,
0.011711743660271168,
-0.019387025386095047,
-0.012874665670096874,
-0.009783545508980751,
0.07592751085758209,
0.02441384643316269,
-0.03601304814219475,
-0.012799638323485851,
0.04129496216773987,
0.014547771774232388,
-0.03628314658999443,
0.04798739030957222,
0.017856471240520477,
0.015012940391898155,
-0.035682931542396545,
0.03661326691508293,
0.025779342278838158,
-0.0018616120796650648,
-0.03667328879237175,
-0.0027591248508542776,
0.03400232270359993,
0.0021926695480942726,
0.05359942093491554,
-0.03556288778781891,
-0.018696775659918785,
-0.014607793651521206,
0.017316274344921112,
-0.01629590429365635,
-0.08367031812667847,
-0.022793259471654892,
0.044776227325201035,
0.021307721734046936,
0.01779644936323166,
-0.024278797209262848,
-0.0005186254275031388,
-0.05735078081488609,
0.027009787037968636,
0.00034020139719359577,
0.030325988307595253,
-0.02252316102385521,
-0.03220167011022568,
0.0015952655812725425,
-0.008380536921322346,
-0.007671529892832041,
0.031931571662425995,
0.004269047174602747,
0.009655999019742012,
-0.02708481438457966,
0.02099260687828064,
0.07028546929359436,
0.021862922236323357,
-0.01832163892686367,
-0.022088004276156425,
0.020332368090748787,
0.017226241528987885,
0.03637317940592766,
-0.03169148415327072,
-0.03811381012201309,
0.028060168027877808,
-0.03673331066966057,
0.02310837432742119,
-0.01036875694990158,
0.008335520513355732,
-0.030205946415662766,
0.02226806990802288,
0.00011177878332091495,
0.016250887885689735,
-0.03283189609646797,
-0.007468956522643566,
0.016220878809690475,
0.03697339817881584,
-0.026364553719758987,
0.008455564267933369,
0.06992533802986145,
0.028960494324564934,
0.02379862405359745,
0.029980864375829697,
0.02872040681540966,
0.005311924964189529,
-0.022358102723956108,
-0.01887684129178524,
-0.03247176855802536,
0.04651685804128647,
-0.00594215327873826,
-0.0016759197460487485,
-0.020197318866848946,
0.008388039655983448,
-0.02702479250729084,
-0.01632591523230076,
0.03002588078379631,
0.018426677212119102,
-0.00515811936929822,
0.02830025553703308,
-0.026169482618570328,
-0.025704314932227135,
-0.040994856506586075,
-0.012004350312054157,
-0.006478597410023212,
0.025584271177649498,
-0.011171548627316952,
-0.05792098864912987,
0.02204298786818981,
0.0071650962345302105,
0.008883219212293625,
-0.004122743848711252,
-0.03823385387659073,
0.008515586145222187,
0.018471693620085716,
0.029575716704130173,
-0.021817905828356743,
0.033822257071733475,
0.02093258500099182,
-0.02043740637600422,
-0.038053788244724274,
-0.05759086832404137,
-0.06404320895671844,
0.0021045126486569643,
0.0001854578295024112,
0.039464302361011505,
-0.07748807966709137,
0.012514534406363964,
-0.00033574667759239674,
0.0140150785446167,
0.024263791739940643,
0.02568930946290493,
-0.01685110665857792,
-0.007236372213810682,
0.06620398908853531,
0.04729713872075081,
-0.021082639694213867,
0.030761146917939186,
0.028810439631342888,
-0.041805148124694824,
0.022733237594366074,
0.011899312026798725,
-0.06662414222955704,
-0.007142588030546904,
-0.10773903876543045,
0.017526350915431976,
-0.07094570994377136,
-0.03523276746273041,
-0.041745126247406006,
0.019942225888371468,
-0.03655324503779411,
0.03583298623561859,
-0.007870351895689964,
-0.02060246653854847,
-0.017616383731365204,
-0.0296657495200634,
-0.009333382360637188,
0.028345271944999695,
-0.007210112642496824,
-0.061102140694856644,
-0.009738529101014137,
-0.01946205273270607,
0.022943314164876938,
-0.030791157856583595,
0.021037623286247253,
0.011081515811383724,
0.039914462715387344,
-0.014607793651521206,
0.0027103570755571127,
-0.006392316427081823,
-0.01584574207663536,
-0.004175262991338968,
0.045496486127376556,
-0.011156543157994747,
0.08144951611757278,
0.007438945583999157,
0.017586372792720795,
-0.006925009191036224,
-0.010728888213634491,
-0.023723596706986427,
-0.04765726998448372,
-0.038023777306079865,
-0.012627075426280499,
0.07184603810310364,
0.0007732489611953497,
0.007840340957045555,
-0.009415912441909313,
0.007596502546221018,
0.023378470912575722,
-0.01333233155310154,
-0.05260906368494034,
-0.018951866775751114,
-0.03178151696920395,
-0.03289191797375679,
0.03640319034457207,
0.032741863280534744,
0.0045541501604020596,
-0.012889671139419079,
-0.004805491305887699,
0.03409235551953316,
-0.06698427349328995,
0.006801214534789324,
0.05528003349900246,
-0.044025953859090805,
-0.02382863499224186,
-0.02079753577709198,
0.015072962269186974,
-0.01668604649603367,
0.014442733488976955,
-0.028120189905166626,
-0.03133135288953781,
0.009640993550419807,
-0.01033124327659607,
-0.012979703024029732,
-0.050448279827833176,
-0.001914131105877459,
0.036523234099149704,
0.06098209694027901,
0.02702479250729084,
0.02855534665286541,
0.028450310230255127,
-0.033432114869356155,
-0.010683871805667877,
0.008688148111104965,
-0.047027040272951126,
0.0016768575878813863,
0.010361254215240479,
0.013692461885511875,
0.015995796769857407,
-0.05179877206683159,
-0.025809353217482567,
-0.07664777338504791,
-0.011516673490405083,
0.03751359507441521,
-0.012079376727342606,
-0.03145139664411545,
0.004722961224615574,
0.018771803006529808,
0.00852308887988329,
-0.009235846810042858,
-0.002882919739931822,
-0.019372019916772842,
-0.0066023925319314,
-0.038714028894901276,
0.003901413641870022,
0.01929699257016182,
-0.0208575576543808,
-0.019281987100839615,
0.026454586535692215,
-0.00572082307189703,
-0.04279550909996033,
-0.017721422016620636,
0.02307836338877678,
-0.040244583040475845,
0.018921855837106705,
0.044055964797735214,
-0.014022581279277802,
-0.016806090250611305,
-0.03511272370815277,
-0.010391265153884888,
0.006362305488437414,
-0.01191431749612093,
0.039914462715387344,
-0.04132497310638428,
-0.0055257524363696575,
-0.016445958986878395,
-0.039434291422367096,
0.015185502357780933,
-0.009093294851481915,
-0.0560603141784668,
0.044806234538555145,
-0.010451287031173706,
-0.008598115295171738,
-0.010458789765834808,
0.03595302999019623,
-0.016130845993757248,
-0.02738492377102375,
-0.04633679240942001,
-0.05137861892580986,
-0.0007981017115525901,
0.05029822513461113,
0.0019244473660364747,
0.00974603183567524,
-0.030731135979294777,
-0.039854440838098526,
-0.04762725904583931,
-0.04087481275200844,
-0.000932681723497808,
-0.013144763186573982,
0.01721123605966568,
0.007187604438513517,
-0.025704314932227135,
-0.02157781831920147,
0.07424690574407578,
-0.022088004276156425,
0.04132497310638428,
-0.0012351350160315633,
0.019372019916772842,
-0.038714028894901276,
0.026514608412981033,
-0.0067411926575005054,
-0.05440971627831459,
-0.006883744616061449,
0.0014911653706803918,
-0.007112577557563782,
0.02099260687828064,
-0.014562777243554592,
0.015485611744225025,
0.013272309675812721,
-0.03700340911746025,
0.023873651400208473,
0.002190793864428997,
-0.020032258704304695,
0.05981167405843735,
-0.0028941738419234753,
-0.0027197354938834906,
-0.00943842064589262,
0.020122291520237923,
-0.005293168127536774,
-0.05549010634422302,
-0.047477204352617264,
-0.013017216697335243,
0.0007830962422303855,
0.016130845993757248,
-0.03694338724017143,
-0.008583109825849533,
0.018366655334830284,
0.0443260632455349,
-0.04231533408164978,
-0.0453164204955101,
0.007937876507639885,
0.015455600805580616,
0.0012041863519698381,
-0.0025002809707075357,
0.010751396417617798,
0.049728021025657654,
0.05567017197608948,
-0.00697752833366394,
0.010578833520412445,
0.022478144615888596,
0.031121278181672096,
0.016911128535866737,
-0.0044416096061468124,
-0.0011666727950796485,
-0.006291029509156942,
0.018696775659918785,
-0.04195520281791687,
0.012837151996791363,
-0.0648835152387619,
0.014120116829872131,
-0.024503879249095917,
0.018861835822463036,
-0.04111490026116371,
0.031511418521404266,
0.008012903854250908,
0.01056382805109024,
0.03742356225848198,
-0.054949913173913956,
0.007213864009827375,
-0.04909779131412506,
0.003807629691436887,
0.055430084466934204,
-0.05570018291473389,
-0.05714070424437523,
0.022943314164876938,
0.0016806089552119374,
-0.010631352663040161,
0.03094121254980564,
-0.017226241528987885,
-0.004824248142540455,
0.009318376891314983,
0.04768728092312813,
0.027309896424412727,
0.02555426023900509,
-0.00575458537787199,
0.026199493557214737,
0.004644182976335287,
-0.0288554560393095,
-0.03481261432170868,
0.01174925733357668,
0.024338819086551666,
-0.049728021025657654,
0.038353897631168365,
0.023123379796743393,
0.019942225888371468,
0.02307836338877678,
-0.027234869077801704,
-0.011366618797183037,
0.027895107865333557,
-0.023003336042165756,
-0.030791157856583595,
-0.010923958383500576,
-0.007840340957045555,
0.04111490026116371,
-0.010128670372068882,
0.006636154837906361,
0.00820047128945589,
0.009753534570336342,
0.0453164204955101,
-0.009108300320804119,
-0.02210300974547863,
0.0586712621152401,
0.08463066816329956,
0.0038170081097632647,
-0.00041921439697034657,
-0.00971602089703083,
0.04390591010451317,
0.04942791163921356,
0.013384850695729256,
0.003610683372244239,
0.0502081923186779,
-0.006392316427081823,
0.028615368530154228,
0.008403045125305653,
0.01496042124927044,
0.05323929339647293,
-0.0397644080221653,
0.02897549979388714,
-0.006478597410023212,
0.0004459428309928626,
-0.02471395581960678,
-0.001525865402072668,
0.00785534642636776,
-0.03220167011022568,
0.02657463029026985,
-0.02585436962544918,
0.07214614003896713,
-0.045586518943309784,
-0.031541429460048676,
-0.025794347748160362,
-0.0573807917535305,
0.05071837827563286,
0.001342986710369587,
-0.020302357152104378,
0.017361290752887726,
0.0036519484128803015,
0.004396593198180199,
0.040604714304208755,
0.019372019916772842,
0.025209134444594383,
0.08853208273649216,
0.029125554487109184,
0.0093708960339427,
0.01959710195660591,
-0.019837187603116035,
0.0046291775070130825,
-0.002074501710012555,
0.025569265708327293,
0.029545705765485764,
0.04801740124821663,
0.008125443942844868,
-0.04279550909996033,
-0.0007357353460974991,
0.019161943346261978,
-0.029515694826841354,
-0.01009115669876337,
0.012109387665987015,
0.001860674237832427,
0.006456089671701193,
-0.0228232704102993,
-0.01815657876431942,
-0.00896574929356575,
0.01590576395392418,
0.01904189959168434,
-0.020152302458882332,
-0.029035521671175957,
0.011636716313660145,
-0.012139398604631424,
0.04045465961098671,
0.015935774892568588,
-0.0034737586975097656,
-0.018051540479063988,
-0.02138274908065796,
0.027459951117634773,
0.0002743181539699435,
-0.03889409452676773,
-0.014352700673043728,
-0.04069474712014198,
-0.008838202804327011,
0.03526277840137482,
-0.030626097694039345,
0.03829387575387955,
-0.03352214768528938,
-0.009348387829959393,
-0.023333454504609108,
-0.0029954605270177126,
-0.03352214768528938,
-0.0035412833094596863,
-0.04420601949095726,
-0.007652773056179285,
-0.005064335186034441,
0.01848669908940792,
-0.010061145760118961,
0.021427765488624573,
0.00989608559757471,
-0.013729975558817387,
-0.010008626617491245,
-0.0036688295658677816,
-0.02151779644191265,
-0.05984168499708176,
0.032261691987514496,
-0.03256179764866829,
-0.025899386033415794,
0.018411671742796898,
-0.0335821695625782,
-0.044386085122823715,
0.005034324247390032,
-0.005574520211666822,
-0.04879768192768097,
0.027129830792546272,
0.005548260640352964,
-0.027700036764144897,
0.013932548463344574,
-0.03964436426758766,
-0.023168396204710007,
0.02177288942039013,
0.003805754007771611,
-0.01659601368010044,
-0.013789997436106205,
0.02744494564831257,
-0.017451323568820953,
0.0019131932640448213,
-0.007532729767262936,
0.05056832358241081,
-0.00981355644762516,
-0.0068949987180531025,
-0.015425589866936207,
-0.027204858139157295,
-0.014502755366265774,
-0.029875826090574265,
0.019672129303216934,
0.021262705326080322,
0.03067111410200596,
-0.006838728208094835,
-0.08817195147275925,
-0.04576658457517624,
-0.06077202036976814,
-0.011854295618832111,
0.009671004489064217,
0.0449863001704216,
0.021952955052256584,
0.014225155115127563,
-0.0069287605583667755,
-0.05522001162171364,
0.2679370939731598,
0.1105000451207161,
-0.012619572691619396,
-0.014585285447537899,
0.04561652988195419,
0.05846118554472923,
0.032321713864803314,
0.0024890268687158823,
0.04585661739110947,
0.00738267507404089,
0.007982892915606499,
0.02424878627061844,
0.0005017443327233195,
-0.019732151180505753,
0.010766400955617428,
0.03295193985104561,
-0.011936825700104237,
0.016130845993757248,
-0.02679971046745777,
-0.04084480181336403,
-0.028045162558555603,
0.00842555332928896,
-0.027264880016446114,
-0.04039463773369789,
-0.003537531942129135,
-0.0071050748229026794,
0.04621674865484238,
-0.01893686130642891,
0.018636753782629967,
-0.02888546697795391,
0.017421312630176544,
-0.02819521725177765,
-0.0048392536118626595,
-0.07112577557563782,
0.015455600805580616,
0.03964436426758766,
-0.01779644936323166,
-0.0325918085873127,
0.026964770630002022,
-0.02830025553703308,
0.00842555332928896,
0.007135085295885801,
-0.010886444710195065,
-0.006812468636780977,
0.04315563663840294,
0.04228532314300537,
-0.03622312471270561,
0.03679333254694939,
0.02193794958293438,
-0.052008844912052155,
0.03601304814219475,
-0.0017884605331346393,
0.00003302954792161472,
-0.020332368090748787,
0.002472145715728402,
0.006155980750918388,
0.04036462679505348,
0.005837114993482828,
-0.026184488087892532,
-0.016130845993757248,
0.007157593499869108,
-0.040634725242853165,
0.0051281084306538105,
0.0339122898876667,
-0.012612069956958294,
0.029170570895075798,
0.039434291422367096,
0.05110852047801018,
-0.0283602774143219,
0.02888546697795391,
-0.030821168795228004,
-0.01222192868590355,
-0.05398956313729286,
-0.024954043328762054,
0.0482574887573719,
-0.04201522469520569,
-0.017556361854076385,
0.03544284403324127,
0.05452976003289223,
-0.029785793274641037,
-0.010391265153884888,
-0.00782533548772335,
0.01002363208681345,
-0.00899576023221016,
0.013654948212206364,
0.004632928874343634,
0.011464154347777367,
-0.0023445996921509504,
-0.08072925359010696,
0.009190830402076244,
0.01659601368010044,
0.008192968554794788,
-0.0023727347142994404,
-0.030431026592850685,
-0.010083653964102268
] |
1208_4 | University and work on computability
After Sherborne, Turing studied as an undergraduate from 1931 to 1934 at King's College, Cambridge, where he was awarded first-class honours in mathematics. In 1935, at the age of 22, he was elected a Fellow of King's College on the strength of a dissertation in which he proved the central limit theorem. Unknown to the committee, the theorem had already been proven, in 1922, by Jarl Waldemar Lindeberg.
In 1936, Turing published his paper "On Computable Numbers, with an Application to the Entscheidungsproblem". It was published in the Proceedings of the London Mathematical Society journal in two parts, the first on 30 November and the second on 23 December. In this paper, Turing reformulated Kurt Gödel's 1931 results on the limits of proof and computation, replacing Gödel's universal arithmetic-based formal language with the formal and simple hypothetical devices that became known as Turing machines. The Entscheidungsproblem (decision problem) was originally posed by German mathematician David Hilbert in 1928. Turing proved that his "universal computing machine" would be capable of performing any conceivable mathematical computation if it were representable as an algorithm. He went on to prove that there was no solution to the decision problem by first showing that the halting problem for Turing machines is undecidable: it is not possible to decide algorithmically whether a Turing machine will ever halt. This paper has been called "easily the most influential math paper in history".
Although Turing's proof was published shortly after Alonzo Church's equivalent proof using his lambda calculus, Turing's approach is considerably more accessible and intuitive than Church's. It also included a notion of a 'Universal Machine' (now known as a universal Turing machine), with the idea that such a machine could perform the tasks of any other computation machine (as indeed could Church's lambda calculus). According to the Church–Turing thesis, Turing machines and the lambda calculus are capable of computing anything that is computable. John von Neumann acknowledged that the central concept of the modern computer was due to Turing's paper. To this day, Turing machines are a central object of study in theory of computation. | [
0.005227750167250633,
-0.02351263538002968,
0.048032358288764954,
-0.01696658320724964,
-0.022211818024516106,
0.01727430336177349,
-0.012078025378286839,
-0.019106639549136162,
-0.02928938716650009,
0.057291943579912186,
0.012735428288578987,
-0.023820355534553528,
0.01572171412408352,
-0.032086845487356186,
-0.014420896768569946,
-0.013378843665122986,
-0.019022716209292412,
-0.03060419298708439,
-0.03944415971636772,
0.01949828304350376,
0.06753063946962357,
0.006699912250041962,
-0.06870557367801666,
-0.019148601219058037,
-0.03527594730257988,
0.012287834659218788,
0.052508290857076645,
-0.024883391335606575,
0.05941801145672798,
0.06618785858154297,
0.05326360464096069,
0.02444978430867195,
0.021162770688533783,
-0.017344240099191666,
-0.02183416113257408,
-0.05362727493047714,
0.01594551093876362,
-0.07732174545526505,
0.03054824285209179,
-0.02779274620115757,
0.038632895797491074,
0.007609086111187935,
0.023680483922362328,
-0.04601818695664406,
-0.07161492854356766,
0.0036366956774145365,
0.022967131808400154,
0.0036052241921424866,
-0.023610547184944153,
-0.026226170361042023,
0.005392100661993027,
-0.0052522276528179646,
0.02056131698191166,
-0.016057409346103668,
0.032450515776872635,
-0.004276614170521498,
0.022463589906692505,
0.013371850363910198,
-0.052228543907403946,
-0.0019250009208917618,
0.026421992108225822,
-0.010217715986073017,
0.017987655475735664,
-0.03678657487034798,
0.008770031854510307,
0.02984887920320034,
0.014253049157559872,
-0.037150245159864426,
-0.003157631028443575,
-0.027554962784051895,
-0.017596011981368065,
-0.02751300111413002,
-0.037178218364715576,
-0.023023080080747604,
-0.019232524558901787,
0.009329522959887981,
-0.012036063708364964,
0.03133153170347214,
-0.04078694060444832,
0.027694836258888245,
0.019092652946710587,
-0.012686473317444324,
0.012483657337725163,
0.015819625928997993,
-0.002503725001588464,
-0.05975370854139328,
0.05331955477595329,
0.04540274664759636,
0.0033447109162807465,
-0.023834343999624252,
0.022995106875896454,
0.007266397587954998,
-0.0025824035983532667,
0.05941801145672798,
0.027191294357180595,
0.011077933944761753,
-0.018770944327116013,
0.010637334547936916,
0.016295194625854492,
0.010161766782402992,
0.06042509526014328,
0.06892936676740646,
-0.03963998332619667,
0.07502783089876175,
-0.02089701220393181,
-0.005724298767745495,
-0.06473318487405777,
0.04134643077850342,
-0.018840881064534187,
-0.03608721122145653,
-0.0012282589450478554,
0.01374251302331686,
0.020071761682629585,
-0.004500410985201597,
0.025834526866674423,
0.01763797365128994,
-0.032618362456560135,
0.042157694697380066,
-0.032282669097185135,
0.02442180924117565,
0.037849608808755875,
0.047360967844724655,
0.0022187340073287487,
0.07502783089876175,
0.019708093255758286,
0.020575305446982384,
-0.04134643077850342,
0.05846687778830528,
-0.02976495586335659,
-0.01699455827474594,
-0.017484113574028015,
-0.002026408677920699,
-0.03852099925279617,
0.008273482322692871,
0.018701007589697838,
0.0256247166544199,
0.021932072937488556,
0.025638705119490623,
-0.03519202396273613,
-0.01100100390613079,
0.04098276421427727,
0.00788883212953806,
-0.01738620176911354,
0.047444891184568405,
-0.007217442151159048,
0.021904097869992256,
-0.003211831673979759,
0.04562654346227646,
-0.03575151413679123,
0.006329249124974012,
-0.011602457612752914,
-0.007755952887237072,
-0.007574118208140135,
0.018505185842514038,
-0.025358958169817924,
-0.007525162305682898,
-0.038325175642967224,
-0.005727795418351889,
-0.01499437540769577,
0.006720893085002899,
-0.04070301726460457,
-0.004594825208187103,
-0.03054824285209179,
0.002666327403858304,
0.01583361253142357,
0.033485572785139084,
-0.02537294663488865,
0.011651413515210152,
-0.010959042236208916,
0.001036807894706726,
-0.03622708469629288,
0.021442517638206482,
-0.05038222298026085,
0.016155321151018143,
0.04626995697617531,
0.07536352425813675,
0.02442180924117565,
-0.007644054479897022,
-0.016742786392569542,
-0.042073771357536316,
-0.05155715346336365,
0.008546235039830208,
0.03015659935772419,
0.023736432194709778,
-0.01594551093876362,
0.01693861000239849,
0.0066124917939305305,
0.0020368993282318115,
-0.0036506829783320427,
0.021386567503213882,
0.008259495720267296,
0.04364034906029701,
-0.047864507883787155,
0.0017361724749207497,
-0.013190015219151974,
0.02236567810177803,
-0.03994770348072052,
0.027135344222187996,
-0.031611278653144836,
-0.012322803027927876,
0.01493842713534832,
0.04881564527750015,
0.037961509078741074,
0.011490559205412865,
-0.05902636796236038,
0.037010371685028076,
0.02912154048681259,
0.02278529666364193,
-0.03158330172300339,
-0.0027432574424892664,
0.002162784803658724,
-0.0008121370919980109,
0.015595829114317894,
0.011763311922550201,
0.021246694028377533,
0.023498648777604103,
-0.04926323890686035,
-0.009979931637644768,
0.013378843665122986,
0.029065590351819992,
0.00555645115673542,
0.04993462935090065,
-0.024184025824069977,
-0.001591054373420775,
0.014378935098648071,
-0.01416213158518076,
0.05060601979494095,
0.09365890175104141,
-0.01738620176911354,
0.05572536587715149,
-0.002905859611928463,
0.037541888654232025,
-0.01386839896440506,
-0.004077295307070017,
0.04579439014196396,
0.004853589925915003,
-0.004622799810022116,
0.03656277805566788,
-0.012756409123539925,
-0.0011338447220623493,
-0.014560770243406296,
-0.0033936663530766964,
0.05348740145564079,
0.013141060248017311,
0.03513607382774353,
0.06948886066675186,
0.007315353024750948,
-0.0025456869043409824,
-0.018491199240088463,
0.028981667011976242,
-0.007783927489072084,
0.06098458915948868,
-0.010238696821033955,
-0.019987838342785835,
-0.02773679792881012,
0.007595099043101072,
0.007748959120362997,
0.011259769089519978,
-0.04075896739959717,
-0.09102928638458252,
-0.019036702811717987,
0.0245896577835083,
0.03661872819066048,
-0.028058504685759544,
-0.021022899076342583,
0.01721835508942604,
0.05410284176468849,
0.009623256511986256,
-0.002341122832149267,
-0.010063855908811092,
-0.04909539222717285,
-0.057347893714904785,
-0.07508377730846405,
0.007588105276226997,
-0.03404506668448448,
-0.0027100376319140196,
-0.017763858661055565,
-0.031611278653144836,
0.047920458018779755,
0.021848147734999657,
-0.01112688984721899,
0.002017666818574071,
0.0006696415366604924,
0.03418494015932083,
0.010896099731326103,
-0.04050719365477562,
-0.057403840124607086,
0.02236567810177803,
0.000008380081453651655,
0.024603644385933876,
0.0043815188109874725,
-0.03597531095147133,
-0.033177852630615234,
-0.01229482889175415,
0.05709611997008324,
-0.002556177321821451,
-0.01524614728987217,
0.0005380735965445638,
-0.021148784086108208,
-0.047193121165037155,
0.003979384433478117,
-0.026519903913140297,
0.007811902090907097,
-0.002951318398118019,
0.004587831441313028,
0.05902636796236038,
-0.017763858661055565,
-0.04926323890686035,
0.042017821222543716,
0.010756226256489754,
-0.037681762129068375,
-0.011273756623268127,
-0.04428376257419586,
-0.011903184466063976,
-0.042241618037223816,
0.07597896456718445,
0.04459148272871971,
0.022239793092012405,
-0.001175806624814868,
-0.07799313217401505,
-0.018728982657194138,
-0.016071397811174393,
-0.008441329933702946,
-0.04540274664759636,
0.015204185619950294,
0.05429866164922714,
0.012938244268298149,
-0.052200570702552795,
0.020924987271428108,
-0.013071123510599136,
-0.033149879425764084,
0.019792016595602036,
-0.03494025394320488,
0.042213644832372665,
0.006049503106623888,
-0.007511175237596035,
0.0058921463787555695,
0.02447775937616825,
0.038297202438116074,
-0.01800164394080639,
-0.006976161152124405,
-0.03603126108646393,
-0.04392009228467941,
0.01913461461663246,
-0.0051158517599105835,
-0.03508012741804123,
0.012133974581956863,
-0.01461671944707632,
0.013917354866862297,
-0.0018725486006587744,
0.002328883856534958,
0.05488612875342369,
-0.0017807569820433855,
-0.020239610224962234,
-0.02512117475271225,
0.058019284158945084,
-0.00851126667112112,
-0.03583543747663498,
-0.04014352336525917,
0.02810046821832657,
-0.0028936208691447973,
0.014588744379580021,
-0.02826831489801407,
0.031946972012519836,
-0.03913643956184387,
-0.03547177091240883,
-0.00003237292912672274,
0.017512088641524315,
0.03625505790114403,
-0.05172500014305115,
0.009252592921257019,
0.007203454617410898,
-0.02467358112335205,
0.008098641410470009,
-0.020071761682629585,
-0.026226170361042023,
0.004965488333255053,
0.014644693583250046,
0.023764407262206078,
-0.05010247603058815,
0.006434153765439987,
0.006357223726809025,
0.008881929330527782,
0.010259677655994892,
0.008147597312927246,
0.018756957724690437,
0.018323350697755814,
-0.006479612551629543,
-0.011791286058723927,
0.04098276421427727,
-0.037513915449380875,
-0.004787150304764509,
-0.013364856131374836,
-0.03645088151097298,
-0.015875576063990593,
-0.03947213664650917,
0.06932101398706436,
0.03337367624044418,
-0.013238971121609211,
-0.021106822416186333,
0.042745161801576614,
-0.015581842511892319,
-0.02278529666364193,
0.06641165912151337,
0.013015174306929111,
-0.0015447214245796204,
-0.04629793390631676,
0.05415879189968109,
-0.029037615284323692,
0.010091830044984818,
-0.020799102261662483,
0.025554779917001724,
0.009546326473355293,
0.009770122356712818,
0.058299027383327484,
-0.017428165301680565,
-0.024100102484226227,
-0.003372685518115759,
-0.004885061178356409,
-0.003989874850958586,
-0.05597713962197304,
-0.020575305446982384,
-0.0013725028838962317,
0.052032724022865295,
-0.004836105741560459,
-0.03471645712852478,
-0.006084471475332975,
-0.0014022259274497628,
-0.008084653876721859,
-0.0028027035295963287,
0.042996931821107864,
-0.047249067574739456,
-0.03471645712852478,
-0.0249533262103796,
-0.05930611491203308,
0.024939339607954025,
0.036758601665496826,
-0.0250092763453722,
0.011812266893684864,
-0.06809013336896896,
0.015553867444396019,
0.01398029737174511,
-0.014141150750219822,
-0.00020631254301406443,
-0.004671755246818066,
0.01460273191332817,
0.03018457442522049,
0.03026849776506424,
-0.014448871836066246,
-0.013903367333114147,
-0.006080974824726582,
-0.0497388057410717,
0.04512299969792366,
-0.01407820824533701,
0.013322894461452961,
-0.012560587376356125,
0.007364308461546898,
-0.03010064922273159,
-0.007825889624655247,
-0.03670265153050423,
-0.023540610447525978,
-0.011119896546006203,
0.03670265153050423,
-0.015162223018705845,
-0.029261412099003792,
0.03527594730257988,
0.01816949062049389,
0.02804451808333397,
0.023051055148243904,
0.031191658228635788,
-0.015595829114317894,
-0.004703226499259472,
0.0006713899783790112,
-0.05368322134017944,
0.03147140517830849,
-0.008993827737867832,
-0.005238240584731102,
-0.03687049821019173,
-0.012679479084908962,
-0.04447958618402481,
-0.03463253378868103,
0.026561865583062172,
0.03312190622091293,
-0.020603278651833534,
0.012784384191036224,
-0.03535987064242363,
-0.015651779249310493,
-0.015581842511892319,
-0.03558366745710373,
-0.012385746464133263,
-0.006937696132808924,
0.005385106895118952,
-0.004056314472109079,
0.008287469856441021,
-0.01679873652756214,
0.031135709956288338,
-0.01481254119426012,
-0.07402074337005615,
-0.006647460162639618,
0.03158330172300339,
0.03303798288106918,
0.023806368932127953,
0.0007776059792377055,
0.007651048246771097,
0.003776568453758955,
-0.028869768604636192,
-0.04165415093302727,
-0.047416917979717255,
-0.011875210329890251,
0.0000852350567583926,
0.028478125110268593,
-0.05368322134017944,
0.05997750163078308,
0.0024984797928482294,
0.06299875676631927,
0.017316266894340515,
-0.0012675982434302568,
0.016015447676181793,
-0.021694287657737732,
0.0501863993704319,
0.048535898327827454,
-0.04417186602950096,
0.00153510516975075,
0.018924804404377937,
-0.01836531236767769,
0.030939888209104538,
0.01660291478037834,
-0.025498831644654274,
0.02036549523472786,
-0.06439748406410217,
0.011469578370451927,
-0.02270137332379818,
-0.03533189743757248,
-0.03947213664650917,
0.007203454617410898,
-0.012735428288578987,
0.01738620176911354,
0.005350138992071152,
-0.05082981660962105,
-0.017959682270884514,
-0.07581111788749695,
-0.018379300832748413,
0.009993919171392918,
-0.02286922000348568,
-0.0502423495054245,
0.008637151680886745,
-0.005720802117139101,
0.03535987064242363,
-0.01961018145084381,
-0.03491227701306343,
-0.026603827252984047,
0.02931736223399639,
0.0055459607392549515,
-0.004650774411857128,
-0.009819078259170055,
-0.0516410768032074,
-0.02331681363284588,
-0.0012658498017117381,
0.00672439020127058,
0.06473318487405777,
-0.01513424888253212,
0.03611518442630768,
0.013385836966335773,
0.0031698697712272406,
-0.06993645429611206,
-0.01409219577908516,
-0.016742786392569542,
0.015623804181814194,
0.0512494333088398,
-0.03457658365368843,
0.032086845487356186,
-0.0054550436325371265,
0.008455317467451096,
0.02912154048681259,
-0.023708458989858627,
-0.037318091839551926,
-0.038045432418584824,
-0.02728920429944992,
-0.032002922147512436,
0.03647885471582413,
0.01523215975612402,
0.03580746427178383,
-0.008588196709752083,
-0.03633898124098778,
0.03096786141395569,
-0.06288685649633408,
-0.01133669912815094,
0.08521057665348053,
0.003397163236513734,
0.0033779307268559933,
-0.0051088579930365086,
-0.013539697974920273,
-0.0035982306580990553,
-0.06367015093564987,
-0.004892054945230484,
-0.006748867686837912,
-0.005444553215056658,
0.02408611588180065,
0.016323167830705643,
-0.06546051800251007,
-0.004703226499259472,
0.024058140814304352,
0.038325175642967224,
0.0057487767189741135,
0.012029070407152176,
-0.024743517860770226,
-0.025960411876440048,
-0.01374251302331686,
0.00870708841830492,
-0.02798856981098652,
0.012434701435267925,
0.04576641693711281,
0.0004012604185845703,
0.013595647178590298,
-0.0055984132923185825,
-0.023526623845100403,
-0.08297260850667953,
-0.026142247021198273,
0.028492111712694168,
-0.024491745978593826,
-0.00880499929189682,
0.04931918904185295,
0.037681762129068375,
-0.03012862429022789,
-0.016756774857640266,
-0.0038884668610990047,
-0.023134978488087654,
0.00987502746284008,
-0.04663362726569176,
-0.004440964665263891,
0.02990482747554779,
0.003348207799717784,
-0.01416213158518076,
0.04573844000697136,
-0.032394565641880035,
-0.01822544075548649,
0.021414542570710182,
-0.00370313529856503,
-0.037290118634700775,
0.04559856653213501,
0.05401891842484474,
0.0254009198397398,
0.00750418147072196,
-0.02945723384618759,
-0.009721167385578156,
0.04654970392584801,
-0.005587922874838114,
-0.004829111974686384,
-0.03060419298708439,
-0.029037615284323692,
0.03947213664650917,
0.003909447696059942,
0.0034146474208682775,
-0.043472498655319214,
-0.038017455488443375,
0.024995289742946625,
0.0016609907615929842,
-0.062495216727256775,
0.01000091340392828,
-0.0028271812479943037,
0.022127894684672356,
0.0028621493838727474,
-0.041933897882699966,
-0.0021487975027412176,
0.042353518307209015,
0.03066014125943184,
-0.03555569425225258,
-0.020771127194166183,
0.00555645115673542,
-0.052368417382240295,
-0.05483017861843109,
-0.062383316457271576,
-0.0017956184456124902,
-0.001987943658605218,
-0.013231976889073849,
0.01994587667286396,
-0.011217807419598103,
-0.01492443960160017,
0.06305471062660217,
-0.07866452634334564,
0.03471645712852478,
-0.010203728452324867,
0.027051420882344246,
-0.01825341396033764,
0.03354152292013168,
-0.015595829114317894,
-0.026114271953701973,
-0.012560587376356125,
0.03426886349916458,
-0.052871961146593094,
0.019624169915914536,
-0.02244960144162178,
0.04126250743865967,
-0.04120655730366707,
0.0018498192075639963,
0.00435354420915246,
-0.018099553883075714,
0.006119439844042063,
0.03628303110599518,
-0.023694470524787903,
0.00901480857282877,
-0.0041437349282205105,
0.012287834659218788,
-0.0068572694435715675,
-0.005325661040842533,
-0.02962508238852024,
-0.022631436586380005,
-0.0016076642787083983,
0.0074901944026350975,
-0.03390519320964813,
0.0022502054926007986,
-0.012441695667803288,
0.024351874366402626,
-0.07424453645944595,
-0.011301730759441853,
0.02033752016723156,
0.010455500334501266,
-0.027387116104364395,
-0.0075811115093529224,
0.05155715346336365,
0.04173807427287102,
0.001626896788366139,
-0.00012643200170714408,
0.026100285351276398,
-0.00995895080268383,
0.005343145225197077,
0.02334478870034218,
0.009420440532267094,
0.008637151680886745,
-0.01791771873831749,
-0.007462219800800085,
-0.03155532851815224,
-0.032226718962192535,
-0.03130355849862099,
-0.010945054702460766,
0.00250022835098207,
0.002057880163192749,
-0.05608903616666794,
0.011847235262393951,
0.02303706854581833,
-0.010518442839384079,
0.03695442155003548,
-0.031946972012519836,
-0.009427433833479881,
-0.032982032746076584,
-0.02303706854581833,
-0.018966766074299812,
-0.06898532062768936,
-0.04643780738115311,
0.02211390621960163,
-0.00394441606476903,
-0.03365342319011688,
0.032450515776872635,
-0.032198742032051086,
0.02244960144162178,
0.008749050088226795,
0.053011830896139145,
0.018980754539370537,
0.01482652872800827,
-0.016896648332476616,
-0.00904278364032507,
-0.008203546516597271,
-0.03608721122145653,
-0.032058872282505035,
0.049123365432024,
0.027135344222187996,
-0.02328883856534958,
-0.0037066321820020676,
0.027974581345915794,
0.06036914885044098,
0.023330802097916603,
-0.04456350952386856,
0.003507313085719943,
0.02740110270678997,
-0.01828138902783394,
-0.016505002975463867,
0.05463435873389244,
-0.012602549046278,
0.04548666998744011,
-0.024939339607954025,
0.006738377269357443,
0.012567580677568913,
0.0013777482090517879,
0.00730835972353816,
-0.011539515107870102,
-0.01777784712612629,
0.0496828556060791,
0.04982272908091545,
-0.009252592921257019,
0.03608721122145653,
-0.012427708134055138,
0.013399824500083923,
0.04372427240014076,
0.000029613716833409853,
-0.037877582013607025,
0.021792199462652206,
0.0254009198397398,
-0.009308542124927044,
-0.016225257888436317,
0.03631100803613663,
0.03477240353822708,
-0.010749232955276966,
0.0499066524207592,
0.03922036290168762,
-0.019987838342785835,
0.015288108959794044,
0.0045318822376430035,
-0.018127528950572014,
0.00984705239534378,
0.012161949649453163,
-0.05127741023898125,
0.06176787614822388,
-0.029261412099003792,
-0.028492111712694168,
-0.017232341691851616,
-0.06943291425704956,
0.08079059422016144,
-0.0256806667894125,
-0.01952625811100006,
-0.0490114688873291,
0.008371393196284771,
-0.005273208487778902,
0.017036519944667816,
-0.011308724991977215,
0.012546599842607975,
0.06881747394800186,
0.05947396159172058,
0.05362727493047714,
-0.0005044167046435177,
0.03908048942685127,
-0.005322164390236139,
-0.01696658320724964,
0.02818439155817032,
0.03074406459927559,
0.06697114557027817,
-0.001257107825949788,
-0.06982455402612686,
-0.028576035052537918,
0.033149879425764084,
-0.02965305745601654,
-0.04134643077850342,
-0.011707362718880177,
-0.0021103324834257364,
-0.009539332240819931,
-0.021176759153604507,
0.026883572340011597,
-0.009161675348877907,
0.014127164147794247,
0.023988204076886177,
-0.02706540748476982,
-0.006944689899682999,
0.028604010120034218,
-0.00365417986176908,
0.037905558943748474,
-0.016155321151018143,
-0.011280749924480915,
0.02998875081539154,
0.014211087487637997,
0.0516970269382,
0.007476206868886948,
0.0037660780362784863,
0.007937788031995296,
0.0007207826129160821,
0.019484296441078186,
0.026743700727820396,
-0.03365342319011688,
0.022967131808400154,
-0.020603278651833534,
-0.03986378014087677,
-0.041989848017692566,
-0.004129747860133648,
-0.036758601665496826,
-0.01008483674377203,
-0.06148812919855118,
-0.014029252342879772,
0.002991531742736697,
0.028897743672132492,
-0.0002594205434434116,
0.012854319997131824,
0.04355642572045326,
-0.018127528950572014,
-0.0011793035082519054,
-0.037625811994075775,
0.025442881509661674,
-0.052899934351444244,
-0.009518351405858994,
-0.018728982657194138,
0.005080883391201496,
0.019428346306085587,
-0.04629793390631676,
-0.01688265986740589,
-0.031107734888792038,
0.0043395571410655975,
-0.00966521818190813,
0.026002373546361923,
0.021904097869992256,
0.032590389251708984,
0.038157328963279724,
-0.031079759821295738,
-0.006979658268392086,
0.02044941857457161,
-0.0014188358327373862,
-0.00272927014157176,
0.05466233193874359,
0.028813818469643593,
0.020883025601506233,
-0.004822118673473597,
-0.0000598284495936241,
0.019120626151561737,
0.005923617631196976,
-0.021344605833292007,
-0.02695350907742977,
-0.020827075466513634,
-0.03913643956184387,
-0.019022716209292412,
0.01758202537894249,
0.01924651302397251,
0.047864507883787155,
0.0072943721897900105,
-0.0505220964550972,
-0.009560313075780869,
-0.04140238091349602,
-0.02314896695315838,
-0.03885669261217117,
0.06926506757736206,
-0.006014535203576088,
0.01101499143987894,
-0.0243378859013319,
-0.03063216619193554,
0.22793689370155334,
0.06383799761533737,
0.010882112197577953,
0.06025724858045578,
0.05662055313587189,
0.07066379487514496,
0.009819078259170055,
0.005248731002211571,
0.018631070852279663,
0.02275732159614563,
-0.002175023779273033,
0.0016286452300846577,
-0.006287287455052137,
-0.003173366654664278,
0.030995836481451988,
0.005374616477638483,
-0.021400555968284607,
0.042605288326740265,
-0.03147140517830849,
-0.06529267132282257,
-0.05474625527858734,
-0.010245691053569317,
-0.009602275677025318,
-0.04336060211062431,
-0.0016505003441125154,
-0.01825341396033764,
0.017931707203388214,
-0.032982032746076584,
-0.04551464319229126,
-0.05997750163078308,
-0.0027012955397367477,
0.005727795418351889,
0.022631436586380005,
-0.0008995576645247638,
0.013875392265617847,
0.019903915002942085,
0.003301000688225031,
0.01991790160536766,
-0.03454860672354698,
0.009413447231054306,
0.02286922000348568,
0.008105634711682796,
0.005997051019221544,
0.00787484459578991,
-0.0005236492143012583,
0.04131845757365227,
-0.01988992840051651,
0.014420896768569946,
0.00033088686177507043,
-0.03063216619193554,
0.014071214944124222,
-0.002902362961322069,
0.014756591990590096,
-0.014560770243406296,
-0.027191294357180595,
-0.007217442151159048,
-0.007651048246771097,
-0.015190198086202145,
-0.03147140517830849,
0.018854867666959763,
0.041905924677848816,
0.002912853378802538,
0.02843616157770157,
0.0494590625166893,
0.00254918378777802,
0.019204551354050636,
0.0018305866979062557,
0.02670173905789852,
-0.0243378859013319,
0.037094295024871826,
-0.004713716916739941,
0.023134978488087654,
-0.024547696113586426,
0.0038744795601814985,
-0.008259495720267296,
-0.005696324165910482,
-0.03312190622091293,
0.06378204375505447,
0.03001672588288784,
-0.03681454807519913,
-0.0014476845972239971,
0.013322894461452961,
0.011812266893684864,
-0.01354669127613306,
0.04073099046945572,
0.026561865583062172,
-0.04014352336525917,
0.0035789981484413147,
-0.049123365432024,
0.010735245421528816,
0.032170768827199936,
0.0254288949072361,
0.02965305745601654,
-0.04671755060553551,
-0.0008689604583196342
] |
1208_5 | From September 1936 to July 1938, Turing spent most of his time studying under Church at Princeton University, in the second year as a Jane Eliza Procter Visiting Fellow. In addition to his purely mathematical work, he studied cryptology and also built three of four stages of an electro-mechanical binary multiplier. In June 1938, he obtained his PhD from the Department of Mathematics at Princeton; his dissertation, Systems of Logic Based on Ordinals, introduced the concept of ordinal logic and the notion of relative computing, in which Turing machines are augmented with so-called oracles, allowing the study of problems that cannot be solved by Turing machines. John von Neumann wanted to hire him as his postdoctoral assistant, but he went back to the United Kingdom.
Career and research
When Turing returned to Cambridge, he attended lectures given in 1939 by Ludwig Wittgenstein about the foundations of mathematics. The lectures have been reconstructed verbatim, including interjections from Turing and other students, from students' notes. Turing and Wittgenstein argued and disagreed, with Turing defending formalism and Wittgenstein propounding his view that mathematics does not discover any absolute truths, but rather invents them.
Cryptanalysis
During the Second World War, Turing was a leading participant in the breaking of German ciphers at Bletchley Park. The historian and wartime codebreaker Asa Briggs has said, "You needed exceptional talent, you needed genius at Bletchley and Turing's was that genius."
From September 1938, Turing worked part-time with the Government Code and Cypher School (GC&CS), the British codebreaking organisation. He concentrated on cryptanalysis of the Enigma cipher machine used by Nazi Germany, together with Dilly Knox, a senior GC&CS codebreaker. Soon after the July 1939 meeting near Warsaw at which the Polish Cipher Bureau gave the British and French details of the wiring of Enigma machine's rotors and their method of decrypting Enigma machine's messages, Turing and Knox developed a broader solution. The Polish method relied on an insecure indicator procedure that the Germans were likely to change, which they in fact did in May 1940. Turing's approach was more general, using crib-based decryption for which he produced the functional specification of the bombe (an improvement on the Polish Bomba). | [
0.038700126111507416,
-0.021258441731333733,
0.03198381885886192,
-0.024794116616249084,
-0.02664332091808319,
0.008609890006482601,
-0.01642092503607273,
-0.014394198544323444,
-0.03151042386889458,
0.020859012380242348,
-0.010303760878741741,
0.0009283000254072249,
-0.007722273003309965,
-0.054233431816101074,
-0.002651757560670376,
-0.020429998636245728,
-0.015311403200030327,
-0.02145075798034668,
-0.022012915462255478,
0.02720547839999199,
0.05541692301630974,
0.006653433199971914,
-0.04118545353412628,
-0.002228289842605591,
-0.0318358838558197,
0.009845158085227013,
0.04736918956041336,
-0.01893584057688713,
0.035948511213064194,
0.05686669796705246,
0.057724729180336,
0.048700615763664246,
0.028832778334617615,
-0.053464166820049286,
-0.015607276000082493,
-0.06532865017652512,
0.043374910950660706,
-0.09136543422937393,
0.018092604354023933,
-0.035682227462530136,
0.02619951218366623,
-0.013410422019660473,
0.02001577615737915,
-0.022589867934584618,
-0.05574238300323486,
-0.008883572183549404,
0.009393952786922455,
0.012900042347609997,
-0.02887715771794319,
-0.02008974365890026,
0.011013854295015335,
-0.0050779120065271854,
0.03517924249172211,
-0.029572458937764168,
0.01988263428211212,
-0.031066615134477615,
0.030060648918151855,
0.012027218006551266,
-0.027530938386917114,
-0.02204250358045101,
0.020607521757483482,
-0.003243502462282777,
-0.0051038009114563465,
-0.040859997272491455,
-0.0021524725016206503,
-0.0012482121819630265,
0.02109571173787117,
-0.0012528352672234178,
-0.04112628102302551,
-0.020030569285154343,
0.0036429304163903,
-0.02282656542956829,
-0.014349817298352718,
-0.019808664917945862,
-0.01900980994105339,
-0.00007772432581987232,
0.01792987436056137,
-0.0021413774229586124,
-0.0634942427277565,
0.03154001012444496,
0.00997090432792902,
-0.029350554570555687,
-0.009482714347541332,
0.015503720380365849,
0.0022671231999993324,
-0.05559444800019264,
0.05645247921347618,
0.057783905416727066,
-0.026761669665575027,
-0.01906898431479931,
0.0283002071082592,
0.02677646279335022,
-0.00845455750823021,
0.05089007318019867,
0.033433593809604645,
0.0010383275803178549,
0.0009398575639352202,
0.010399919003248215,
0.03914393484592438,
0.017190193757414818,
0.022012915462255478,
0.06876077502965927,
-0.028122683987021446,
0.09308149665594101,
0.007655701600015163,
0.014860197901725769,
-0.051570579409599304,
0.021125297993421555,
-0.027087129652500153,
0.008780017495155334,
0.0016337711131200194,
0.017826318740844727,
-0.012027218006551266,
-0.02986833080649376,
-0.001556104514747858,
0.017900288105010986,
-0.017604414373636246,
0.016790766268968582,
-0.03562305122613907,
0.023433104157447815,
-0.02750135026872158,
0.025311894714832306,
0.027989540249109268,
0.055535271763801575,
0.03003106079995632,
-0.0033008279278874397,
-0.055328160524368286,
0.04162926226854324,
-0.04219142347574234,
-0.04831598326563835,
-0.018270127475261688,
0.0011187680065631866,
-0.03763498365879059,
-0.0244834516197443,
0.0038315490819513798,
0.01988263428211212,
0.017693176865577698,
0.03464667126536369,
-0.02895112708210945,
-0.015962323173880577,
0.03124413825571537,
0.0022930121049284935,
-0.013684104196727276,
0.07799199968576431,
0.006945607718080282,
0.018270127475261688,
-0.011857091449201107,
0.009342174977064133,
-0.006694115698337555,
-0.008861382491886616,
-0.01705705188214779,
-0.028344588354229927,
-0.0049521662294864655,
0.02139158360660076,
-0.009098079986870289,
0.0027479161508381367,
-0.029202617704868317,
0.021569106727838516,
-0.025814877822995186,
0.02677646279335022,
-0.042280182242393494,
0.025874052196741104,
0.0022763691376894712,
0.03822673112154007,
0.013010994531214237,
0.014645690098404884,
-0.03896640986204147,
0.006006212439388037,
0.006509195547550917,
0.023773357272148132,
-0.027027955278754234,
0.02152472548186779,
-0.016938701272010803,
0.03793085739016533,
0.022708216682076454,
0.0539967343211174,
0.008632080629467964,
0.01389861200004816,
0.0010577442590147257,
-0.03550470247864723,
-0.04281275346875191,
-0.02202770859003067,
0.04574189335107803,
0.02174662984907627,
-0.0010734625393524766,
-0.008831794373691082,
0.00541816558688879,
0.012049408629536629,
0.01335864420980215,
-0.003949898295104504,
0.017234575003385544,
0.044883862137794495,
-0.02713151089847088,
0.0027257255278527737,
0.00492997607216239,
0.03213175758719444,
-0.07290299236774445,
0.016287783160805702,
-0.017752351239323616,
-0.038611363619565964,
-0.0018871119245886803,
0.04591941460967064,
0.022693421691656113,
0.018048223108053207,
-0.05145223066210747,
0.006919718813151121,
0.04325656220316887,
0.04973617196083069,
-0.05278365686535835,
-0.01720498688519001,
0.01640613190829754,
-0.011546425521373749,
0.021909359842538834,
-0.009467920288443565,
0.027323827147483826,
0.015873560681939125,
-0.05645247921347618,
0.0006042271852493286,
0.015873560681939125,
0.03615562245249748,
-0.0017835565377026796,
0.029483696445822716,
-0.03361111879348755,
0.018876666203141212,
0.014394198544323444,
0.009771189652383327,
0.006801369599997997,
0.09166130423545837,
0.014408991672098637,
0.05228067561984062,
0.005995117127895355,
0.030977852642536163,
-0.03713200241327286,
0.015873560681939125,
0.039913203567266464,
0.008735636249184608,
-0.007781447377055883,
0.052369438111782074,
-0.020385617390275,
0.02152472548186779,
-0.019187333062291145,
0.011502044275403023,
0.047250840812921524,
0.025726115331053734,
0.0456235446035862,
0.030326934531331062,
-0.01173874270170927,
0.014460769481956959,
-0.01822574809193611,
0.004393707029521465,
-0.04029783606529236,
0.05816853791475296,
0.011317123658955097,
-0.026820844039320946,
-0.03074115514755249,
0.020503966137766838,
0.029528077691793442,
0.04902607575058937,
-0.01921692118048668,
-0.055831145495176315,
-0.015814386308193207,
0.01529660914093256,
0.016021497547626495,
-0.016110258176922798,
0.004009072668850422,
0.048700615763664246,
0.050002455711364746,
0.000762334035243839,
-0.012448836117982864,
-0.012574582360684872,
-0.05142264440655708,
-0.06953004002571106,
-0.055180225521326065,
-0.00920903217047453,
-0.054529305547475815,
-0.004966959822922945,
-0.03130331262946129,
-0.049558646976947784,
0.036688193678855896,
-0.036688193678855896,
0.009497508406639099,
0.014372007921338081,
-0.02224961295723915,
0.05038709193468094,
0.017367716878652573,
-0.0444992259144783,
-0.045593954622745514,
0.003609644714742899,
-0.012729915790259838,
0.03547511622309685,
-0.021717043593525887,
-0.007818431593477726,
-0.051067598164081573,
-0.011583409272134304,
0.02563735470175743,
-0.02563735470175743,
0.010244586504995823,
-0.018033429980278015,
-0.03982444107532501,
-0.0009930221131071448,
-0.011324521154165268,
-0.0036170415114611387,
0.03390699252486229,
-0.02498643472790718,
0.004992848727852106,
0.06254745274782181,
0.014142706990242004,
-0.057991012930870056,
0.04053453728556633,
0.010917696170508862,
-0.04017948731780052,
0.005532816052436829,
-0.029113857075572014,
-0.009697222150862217,
-0.04370037093758583,
0.056985046714544296,
0.03748704865574837,
0.023699389770627022,
0.002531559206545353,
-0.05852358415722847,
0.002886606380343437,
0.01176832988858223,
-0.011783123016357422,
-0.0009532643016427755,
0.0055032288655638695,
0.0608905665576458,
-0.022160852327942848,
-0.019542379304766655,
0.005218451842665672,
0.022723009809851646,
-0.039351046085357666,
0.024157991632819176,
-0.006923417095094919,
0.057547204196453094,
-0.0209477748721838,
0.005688149482011795,
0.0019527586409822106,
0.028167063370347023,
0.03810838237404823,
-0.02159869484603405,
0.006172640714794397,
-0.029927505180239677,
-0.008846588432788849,
0.03399575129151344,
-0.030001474544405937,
-0.0026628526393324137,
6.82616075664555e-7,
-0.012937026098370552,
-0.04902607575058937,
-0.021569106727838516,
0.020932981744408607,
0.08343604952096939,
0.005469943396747112,
0.0036558748688548803,
-0.025089990347623825,
0.0711277574300766,
-0.03485378250479698,
0.016391336917877197,
-0.025814877822995186,
0.035386353731155396,
-0.009364365600049496,
0.01584397442638874,
-0.01115439459681511,
0.03263473883271217,
-0.05876028165221214,
-0.025326687842607498,
-0.022930121049284935,
0.009416143409907818,
0.027545731514692307,
-0.047694649547338486,
-0.0019804968032985926,
-0.005414467304944992,
-0.019823459908366203,
0.010673601180315018,
-0.010488680563867092,
-0.017974255606532097,
0.008543319068849087,
0.006901226472109556,
0.023876912891864777,
-0.01973469741642475,
0.007374622859060764,
-0.0022578772623091936,
-0.0003418714622966945,
0.006553576327860355,
-0.009652840904891491,
0.014127912931144238,
0.015681244432926178,
0.031776707619428635,
0.0016892472049221396,
0.004667389206588268,
-0.01176832988858223,
-0.005022435914725065,
0.006594258826225996,
-0.0374278724193573,
-0.02498643472790718,
-0.045327670872211456,
0.0810098946094513,
0.022293994203209877,
-0.020030569285154343,
-0.02297450229525566,
0.041718024760484695,
0.028181858360767365,
-0.019187333062291145,
0.05674834921956062,
-0.0038315490819513798,
-0.0003208367561455816,
-0.03828590363264084,
0.03210216760635376,
-0.02260466106235981,
0.026687702164053917,
-0.035238418728113174,
0.022575072944164276,
0.022293994203209877,
0.001491382485255599,
0.038345079869031906,
0.007367225829511881,
-0.03822673112154007,
-0.007097241934388876,
0.016820352524518967,
0.022767391055822372,
-0.05491394177079201,
-0.014889785088598728,
-0.011287536472082138,
0.07100940495729446,
0.028906745836138725,
-0.015799593180418015,
-0.01209378894418478,
-0.006268799304962158,
-0.02577049657702446,
0.0045527382753789425,
0.0355638787150383,
-0.049203600734472275,
-0.044232942163944244,
-0.01828492246568203,
-0.05890822038054466,
0.01479362603276968,
0.017471272498369217,
0.026081163436174393,
0.010969473980367184,
-0.03621479868888855,
0.009364365600049496,
0.02152472548186779,
-0.01726416125893593,
-0.02995709329843521,
-0.007393114734441042,
0.0033008279278874397,
0.030267758294939995,
0.025874052196741104,
-0.01662803627550602,
-0.03414369001984596,
0.007204495836049318,
-0.037753332406282425,
0.02757531963288784,
-0.01642092503607273,
0.013846834190189838,
-0.009393952786922455,
0.014386801049113274,
-0.011894075199961662,
0.00979338027536869,
-0.012863057665526867,
-0.032220516353845596,
-0.021776217967271805,
0.03506089374423027,
-0.04142215475440025,
-0.05674834921956062,
0.07077270746231079,
0.04168843850493431,
0.008735636249184608,
-0.0035893034655600786,
0.03216134384274483,
-0.009268206544220448,
-0.025519005954265594,
-0.04162926226854324,
-0.044528815895318985,
0.05494352802634239,
-0.02554859220981598,
0.010385125875473022,
-0.03914393484592438,
-0.014993339776992798,
-0.05168892815709114,
-0.040712058544158936,
0.01389861200004816,
0.02131761610507965,
-0.03662901744246483,
-0.016835147514939308,
-0.03787168115377426,
-0.015111689455807209,
0.006634941324591637,
-0.023936087265610695,
-0.00016272989159915596,
0.004397405311465263,
0.03577098995447159,
0.00045259250327944756,
0.011960647068917751,
-0.0044232942163944244,
0.020474378019571304,
-0.021421169862151146,
-0.06763646006584167,
0.01698308251798153,
0.03846342861652374,
0.012441439554095268,
-0.015577688813209534,
0.00682356022298336,
-0.01007445901632309,
-0.0018824889557436109,
-0.009601063095033169,
-0.026820844039320946,
-0.06621626764535904,
0.0026628526393324137,
0.012789090164005756,
0.030415695160627365,
-0.043937068432569504,
0.014312833547592163,
0.015281816013157368,
0.06450021266937256,
0.00678287772461772,
0.03813796862959862,
-0.020977361127734184,
-0.021051330491900444,
0.03952856734395027,
0.06361259520053864,
-0.0304452832788229,
0.03893682360649109,
0.015710830688476562,
-0.02822623960673809,
0.04651116207242012,
-0.0029975585639476776,
-0.03251639008522034,
0.0034321213606745005,
-0.042280182242393494,
0.029720395803451538,
-0.0724295973777771,
-0.004253167659044266,
-0.053257055580616,
-0.014719657599925995,
-0.019335269927978516,
0.002799693727865815,
0.015141276642680168,
-0.04112628102302551,
-0.04429211840033531,
-0.035386353731155396,
-0.016598448157310486,
0.020326443016529083,
0.016317369416356087,
-0.05192562937736511,
-0.016953496262431145,
0.005636371672153473,
0.012766899541020393,
-0.0012361924163997173,
-0.015651656314730644,
-0.02584446407854557,
0.015089498832821846,
0.012818677350878716,
0.01785590685904026,
-0.02180580422282219,
-0.04751712828874588,
-0.0067052110098302364,
0.0076630981639027596,
-0.008521128445863724,
0.0355638787150383,
-0.033374421298503876,
-0.0009338476811535656,
0.007589130196720362,
-0.008876175619661808,
-0.061719007790088654,
-0.026909606531262398,
-0.03565263748168945,
0.02936534769833088,
0.06562452763319016,
-0.033581532537937164,
0.01822574809193611,
-0.01018541119992733,
-0.002956876065582037,
0.034025341272354126,
-0.02649538405239582,
0.005847180727869272,
-0.028847571462392807,
-0.026968780905008316,
-0.06408599019050598,
0.034232452511787415,
0.013491787016391754,
0.03553428873419762,
0.019897427409887314,
-0.026806050911545753,
0.06260662525892258,
-0.05775431543588638,
0.0016716797836124897,
0.05130429565906525,
-0.012330487370491028,
-0.004807928577065468,
-0.003722446272149682,
0.020134124904870987,
-0.026658114045858383,
-0.03290102630853653,
-0.006235513370484114,
-0.030060648918151855,
-0.03287143632769585,
-0.0032490501180291176,
-0.008210462518036366,
-0.045889828354120255,
0.004227278754115105,
-0.005444054491817951,
0.03009023517370224,
0.0006028402713127434,
0.019690316170454025,
-0.013920802623033524,
-0.005410768557339907,
-0.009652840904891491,
0.002840376226231456,
-0.04958823323249817,
0.021199265494942665,
0.00946052372455597,
0.011435473337769508,
0.01209378894418478,
-0.03973567858338356,
-0.01822574809193611,
-0.08095072209835052,
-0.010991664603352547,
0.005521720740944147,
-0.008609890006482601,
-0.008143891580402851,
0.0027479161508381367,
0.016672417521476746,
-0.01313673984259367,
-0.008469350636005402,
-0.009956110268831253,
-0.018270127475261688,
0.022723009809851646,
-0.041362978518009186,
-0.012034614570438862,
0.04426252841949463,
-0.007455987390130758,
-0.002396567491814494,
0.0471029058098793,
0.005699244327843189,
-0.02325558103621006,
-0.00008512113709002733,
-0.007419003639370203,
-0.03544552996754646,
0.060298819094896317,
0.0545588918030262,
-0.00694930600002408,
-0.028418555855751038,
-0.07148279994726181,
-0.01914295181632042,
0.02059272676706314,
0.003949898295104504,
-0.002039671177044511,
-0.02800433523952961,
-0.0013443707721307874,
0.05032791569828987,
-0.013343851082026958,
0.036747366189956665,
-0.03757581114768982,
-0.04873020574450493,
0.03325607255101204,
-0.01547413319349289,
-0.03932145982980728,
0.02534148097038269,
0.015962323173880577,
-0.001802048645913601,
-0.000009896127266983967,
-0.03923269733786583,
-0.0071305278688669205,
0.03384781628847122,
0.03618520870804787,
-0.030622806400060654,
-0.020918186753988266,
0.0021506233606487513,
-0.06455938518047333,
-0.045534782111644745,
-0.05458848178386688,
-0.022486312314867973,
-0.013550961390137672,
-0.00828443095088005,
-0.0029735187999904156,
-0.011302330531179905,
-0.026007194072008133,
0.030681980773806572,
-0.07994475215673447,
0.03932145982980728,
-0.005555006675422192,
0.03230927884578705,
-0.025030815973877907,
0.005573498550802469,
-0.004582325927913189,
-0.016465306282043457,
-0.039055172353982925,
-0.0047265635803341866,
-0.04032742604613304,
0.009741602465510368,
-0.03707282617688179,
0.03793085739016533,
-0.040712058544158936,
-0.002990161767229438,
-0.032013408839702606,
-0.023433104157447815,
0.007518860511481762,
0.03671777993440628,
-0.028965920209884644,
0.039706092327833176,
-0.014749245718121529,
0.06361259520053864,
0.02815227024257183,
0.0071305278688669205,
-0.011857091449201107,
0.003964691888540983,
-0.016687210649251938,
-0.009253413416445255,
-0.021495139226317406,
0.02174662984907627,
0.016361750662326813,
0.03506089374423027,
-0.05296118184924126,
-0.005063118413090706,
-0.019113365560770035,
-0.007178606931120157,
0.0006462965393438935,
0.005484736990183592,
0.03719117492437363,
0.05449971929192543,
0.015311403200030327,
0.008447160944342613,
0.028744015842676163,
-0.0038167554885149,
0.008106906898319721,
0.0028718127869069576,
0.007640908006578684,
0.012870455160737038,
-0.027812017127871513,
0.024660974740982056,
-0.048996489495038986,
-0.017796732485294342,
-0.03801961988210678,
-0.025800084695219994,
-0.012611566111445427,
-0.024098817259073257,
-0.05059420317411423,
0.002553749829530716,
-0.022693421691656113,
-0.01785590685904026,
0.044943034648895264,
-0.048345569521188736,
-0.009697222150862217,
-0.02556338533759117,
-0.017116226255893707,
0.0061837355606257915,
-0.03562305122613907,
-0.05550568550825119,
0.01597711630165577,
0.003260145429521799,
-0.026184719055891037,
0.05867152288556099,
-0.02878839708864689,
-0.021613487973809242,
0.018965428695082664,
0.07627593725919724,
0.0038981204852461815,
0.02677646279335022,
0.018462445586919785,
-0.004127421882003546,
0.014053944498300552,
-0.034587498754262924,
-0.0471029058098793,
0.029261792078614235,
0.006231815088540316,
-0.019808664917945862,
0.012226931750774384,
0.04180678725242615,
0.033729467540979385,
0.005118594504892826,
-0.04210266098380089,
-0.012219535186886787,
0.05464765429496765,
-0.03893682360649109,
-0.0018658461049199104,
0.012515407986938953,
-0.014261055737733841,
0.03896640986204147,
-0.013854230754077435,
0.015873560681939125,
0.026672907173633575,
-0.01036293525248766,
0.00030026439344510436,
0.0037427875213325024,
-0.021791011095046997,
0.021864978596568108,
0.05142264440655708,
-0.008092113770544529,
0.021968534216284752,
0.017545239999890327,
0.012337883934378624,
0.0291434433311224,
0.0016790765803307295,
-0.028019128367304802,
0.032072581350803375,
0.055890318006277084,
0.022708216682076454,
-0.027101922780275345,
0.03435080125927925,
0.045327670872211456,
-0.014645690098404884,
0.03440997377038002,
0.042280182242393494,
-0.003994279075413942,
-0.005137086845934391,
0.000879296159837395,
-0.010592236183583736,
0.00413851672783494,
0.013070168904960155,
-0.015710830688476562,
0.08426449447870255,
-0.019187333062291145,
-0.03751663491129875,
-0.0010808593360707164,
-0.07799199968576431,
0.07686768472194672,
-0.005395974963903427,
0.005085309036076069,
-0.03375905379652977,
-0.008602493442595005,
0.0209477748721838,
0.02267862856388092,
-0.03417327627539635,
0.016243401914834976,
0.05887863039970398,
0.027087129652500153,
0.022486312314867973,
-0.00041075426270253956,
0.009556682780385017,
-0.021657869219779968,
-0.01352877076715231,
0.0190837774425745,
0.015178260393440723,
0.064796082675457,
0.02865525335073471,
-0.0646185576915741,
-0.051511406898498535,
0.015000737272202969,
-0.017545239999890327,
-0.05506187677383423,
-0.014874991029500961,
-0.003968390170484781,
0.02087380737066269,
-0.003175081918016076,
0.037250351160764694,
-0.013654517009854317,
0.022146059200167656,
0.025356275960803032,
-0.02698357403278351,
-0.024439070373773575,
0.01551851350814104,
-0.03683612868189812,
0.015962323173880577,
-0.0008238200680352747,
0.045682717114686966,
0.020489173009991646,
0.02865525335073471,
0.02439468912780285,
0.010015284642577171,
0.003115907544270158,
-0.016657622531056404,
0.006387148052453995,
0.009889539331197739,
0.003014201298356056,
-0.020385617390275,
0.013380834832787514,
-0.05239902436733246,
-0.022471517324447632,
-0.02331475540995598,
0.009127667173743248,
-0.017663588747382164,
0.031421661376953125,
-0.03213175758719444,
-0.019468411803245544,
0.008010748773813248,
0.01923171430826187,
0.008543319068849087,
0.019631141796708107,
0.0698259174823761,
-0.022367963567376137,
0.02915823645889759,
-0.027989540249109268,
-0.013972579501569271,
-0.07296216487884521,
-0.012951820157468319,
-0.05861234664916992,
-0.036747366189956665,
0.035031307488679886,
-0.029986679553985596,
-0.032279692590236664,
-0.016613241285085678,
-0.015666449442505836,
-0.017811525613069534,
0.026761669665575027,
0.014053944498300552,
0.0065794652327895164,
0.009785983711481094,
-0.016228608787059784,
0.006379751488566399,
0.022012915462255478,
-0.0045527382753789425,
-0.011043441481888294,
0.02332954853773117,
0.004456579685211182,
0.029246998950839043,
0.02664332091808319,
-0.04029783606529236,
0.013403025455772877,
-0.0010679148836061358,
-0.01677597127854824,
-0.03665860742330551,
-0.016095465049147606,
-0.046599920839071274,
-0.023595834150910378,
0.0072562736459076405,
0.020681489259004593,
0.05003204196691513,
-0.016805559396743774,
-0.09248974919319153,
-0.031273726373910904,
-0.046895794570446014,
-0.02007495053112507,
-0.00968242809176445,
0.07586171478033066,
-0.00023242173483595252,
0.0015302157262340188,
0.01285566110163927,
-0.0298831257969141,
0.259184330701828,
0.08355440199375153,
0.027664080262184143,
0.027338620275259018,
0.053375404328107834,
0.07645346224308014,
0.035031307488679886,
-0.014335024170577526,
0.03059321828186512,
0.008402779698371887,
-0.0056548635475337505,
-0.003546771826222539,
-0.006442624144256115,
-0.013721087947487831,
0.010703188367187977,
0.022870946675539017,
0.0017613661475479603,
0.0209477748721838,
-0.0193648561835289,
-0.04674785956740379,
-0.05728092044591904,
0.02383253164589405,
-0.017382510006427765,
-0.016598448157310486,
-0.005788006354123354,
-0.033433593809604645,
0.018625175580382347,
-0.01353616826236248,
-0.03254597634077072,
-0.01692390814423561,
-0.029986679553985596,
0.01299620047211647,
-0.012530201114714146,
-0.02353665977716446,
0.0005556856049224734,
0.004353024531155825,
-0.006749591790139675,
-0.020311648026108742,
-0.025948019698262215,
0.01115439459681511,
0.005148181691765785,
0.0024760831147432327,
-0.012618962675333023,
-0.017160605639219284,
0.00045790895819664,
0.06242910400032997,
-0.04485427588224411,
0.01417969074100256,
0.0675772875547409,
-0.021332409232854843,
0.007352432236075401,
-0.002189456718042493,
0.04455840215086937,
-0.012581978924572468,
0.03585974872112274,
0.0040275645442306995,
0.012803883291780949,
0.0019176237983629107,
-0.03432121127843857,
0.0225306935608387,
0.020415203645825386,
0.02074066363275051,
0.007603923790156841,
0.01285566110163927,
-0.00957147590816021,
0.030711567029356956,
0.05239902436733246,
0.02303367666900158,
-0.054677240550518036,
0.03470584750175476,
0.006239211652427912,
-0.0032379550393670797,
-0.0495290607213974,
0.0016513385344296694,
0.030681980773806572,
-0.005836085416376591,
-0.0064537194557487965,
0.05876028165221214,
0.02202770859003067,
-0.028063509613275528,
-0.002903249114751816,
0.03210216760635376,
-0.01942403055727482,
-0.009135063737630844,
0.016095465049147606,
0.027516145259141922,
0.005462546367198229,
0.009112874045968056,
-0.04988410696387291,
0.01958676055073738,
0.029099062085151672,
-0.013580548577010632,
0.029749982059001923,
-0.04103751853108406,
0.049706585705280304
] |
1208_6 | On 4 September 1939, the day after the UK declared war on Germany, Turing reported to Bletchley Park, the wartime station of GC&CS. Like all others who came to Bletchley, he was required to sign the Official Secrets Act, in which he agreed not to disclose anything about his work at Bletchley, with severe legal penalties for violating the Act.
Specifying the bombe was the first of five major cryptanalytical advances that Turing made during the war. The others were: deducing the indicator procedure used by the German navy; developing a statistical procedure dubbed Banburismus for making much more efficient use of the bombes; developing a procedure dubbed Turingery for working out the cam settings of the wheels of the Lorenz SZ 40/42 (Tunny) cipher machine and, towards the end of the war, the development of a portable secure voice scrambler at Hanslope Park that was codenamed Delilah.
By using statistical techniques to optimise the trial of different possibilities in the code breaking process, Turing made an innovative contribution to the subject. He wrote two papers discussing mathematical approaches, titled The Applications of Probability to Cryptography and Paper on Statistics of Repetitions, which were of such value to GC&CS and its successor GCHQ that they were not released to the UK National Archives until April 2012, shortly before the centenary of his birth. A GCHQ mathematician, "who identified himself only as Richard," said at the time that the fact that the contents had been restricted under the Official Secrets Act for some 70 years demonstrated their importance, and their relevance to post-war cryptanalysis:
Turing had a reputation for eccentricity at Bletchley Park. He was known to his colleagues as "Prof" and his treatise on Enigma was known as the "Prof's Book". According to historian Ronald Lewin, Jack Good, a cryptanalyst who worked with Turing, said of his colleague:
Peter Hilton recounted his experience working with Turing in Hut 8 in his "Reminiscences of Bletchley Park" from A Century of Mathematics in America:
Hilton echoed similar thoughts in the Nova PBS documentary Decoding Nazi Secrets. | [
0.04285614937543869,
-0.029974710196256638,
0.031004611402750015,
-0.0068326969631016254,
0.006878811866044998,
-0.04623791202902794,
-0.05038825795054436,
-0.01537933200597763,
-0.03025140054523945,
0.025040412321686745,
-0.014203401282429695,
0.004284846596419811,
-0.015356275252997875,
-0.05293995141983032,
-0.01796945556998253,
-0.020920811221003532,
-0.010552635416388512,
0.004108072724193335,
0.001579436706379056,
0.021105270832777023,
0.054846033453941345,
-0.0037795035168528557,
-0.015817424282431602,
-0.02768433466553688,
-0.017185499891638756,
0.05352407321333885,
0.03175782039761543,
-0.017001040279865265,
0.050019338726997375,
0.0419953390955925,
0.0465146005153656,
0.031127583235502243,
0.020828580483794212,
-0.08097783476114273,
0.02542470395565033,
-0.04067337512969971,
0.05951901525259018,
-0.07519809156656265,
0.010929240845143795,
-0.031634848564863205,
0.002987863728776574,
-0.0018225008388981223,
0.004734467249363661,
-0.013519363477826118,
-0.05712103843688965,
-0.017185499891638756,
-0.01720087230205536,
0.025009669363498688,
0.006947983987629414,
-0.02244260348379612,
0.008077800273895264,
0.014026626944541931,
0.047621361911296844,
-0.020705608651041985,
0.005560693331062794,
-0.04227202758193016,
-0.001950277597643435,
-0.00008136164251482114,
0.006094857584685087,
-0.035293299704790115,
-0.007332275155931711,
-0.006371547468006611,
0.023826051503419876,
-0.020628750324249268,
-0.004265632014721632,
0.0035162640269845724,
0.005414662417024374,
-0.00837754737585783,
-0.025347845628857613,
-0.04181087762117386,
0.011736252345144749,
-0.023595476523041725,
-0.008316060528159142,
-0.020890068262815475,
-0.011544106528162956,
-0.0073207467794418335,
0.021074527874588966,
0.0041388156823813915,
-0.07396836578845978,
0.020013883709907532,
0.00011810948490165174,
-0.03593891113996506,
-0.030236028134822845,
0.002357626333832741,
0.007266945671290159,
-0.051863934844732285,
0.09247582405805588,
0.04894332215189934,
0.015609906986355782,
-0.008439034223556519,
0.03716864064335823,
-0.0020098427776247263,
0.005537635646760464,
0.008500520139932632,
0.009568849578499794,
0.0061256010085344315,
-0.009176872670650482,
-0.008385233581066132,
0.007259259931743145,
0.04211831092834473,
0.017723508179187775,
0.06923389434814453,
-0.029882481321692467,
0.07421430945396423,
0.034924380481243134,
0.03066643513739109,
-0.0152409877628088,
0.005564535968005657,
-0.020521147176623344,
0.01142881903797388,
-0.003525871317833662,
-0.015025784261524677,
-0.008585064671933651,
-0.020444288849830627,
0.024333316832780838,
0.012458719313144684,
0.024148857221007347,
0.01787722483277321,
-0.005414662417024374,
0.04716021195054054,
-0.02208905667066574,
0.0216740220785141,
0.042517974972724915,
0.02253483422100544,
-0.024855952709913254,
0.00107505451887846,
-0.046176426112651825,
0.03246491774916649,
-0.012881440110504627,
-0.048021022230386734,
-0.020059999078512192,
0.00329721812158823,
-0.04257946088910103,
-0.014226458966732025,
0.01919918693602085,
0.022012198343873024,
0.01638617552816868,
0.015509990975260735,
0.0005336843314580619,
-0.02132047340273857,
0.010583378374576569,
-0.007378390058875084,
-0.0023019041400402784,
0.08860217034816742,
0.010045371018350124,
0.01838448829948902,
-0.03738384321331978,
0.01864580623805523,
-0.01738533191382885,
0.011728566139936447,
-0.01883026771247387,
-0.03369464725255966,
0.004892026539891958,
0.016785837709903717,
0.011290473863482475,
0.003748760325834155,
-0.045991964638233185,
-0.002219281392171979,
-0.027668964117765427,
0.009837853722274303,
-0.06253185868263245,
0.02962116338312626,
0.015371646732091904,
0.028560519218444824,
0.005533792544156313,
0.02113601379096508,
-0.034616947174072266,
-0.0212282445281744,
-0.016109485179185867,
0.0036142582539469004,
-0.0036776664201170206,
0.01237417571246624,
-0.02334953099489212,
0.027223186567425728,
0.038275398313999176,
0.045592304319143295,
0.026531461626291275,
-0.008239202201366425,
0.007939455099403858,
-0.02836068719625473,
-0.0282223429530859,
-0.020444288849830627,
0.030651062726974487,
0.02095155417919159,
-0.03369464725255966,
-0.009046213701367378,
0.01910695619881153,
-0.001237417571246624,
0.005091858096420765,
-0.024548519402742386,
0.028376059606671333,
0.021735507994890213,
-0.04623791202902794,
0.008508206345140934,
-0.01052189152687788,
0.030866265296936035,
-0.060133881866931915,
0.031542617827653885,
-0.002642001723870635,
-0.04061188921332359,
-0.010129914619028568,
0.045592304319143295,
0.02659294754266739,
0.026270143687725067,
-0.06966429948806763,
-0.016463033854961395,
0.056567657738924026,
0.06179402023553848,
-0.012258888222277164,
-0.017938710749149323,
0.005226359702646732,
-0.009714880958199501,
0.02519412897527218,
-0.015348589047789574,
0.013503991067409515,
0.0347706638276577,
-0.043563246726989746,
0.010652551427483559,
-0.009315217845141888,
0.04221054166555405,
-0.02537858858704567,
0.026562204584479332,
-0.004446248523890972,
0.03495512530207634,
0.027115583419799805,
0.0033798408694565296,
-0.00202713580802083,
0.07335349917411804,
0.004119601100683212,
0.06634402275085449,
0.010229830630123615,
0.044823721051216125,
-0.026039568707346916,
0.03314127027988434,
-0.021750880405306816,
0.01540238969027996,
-0.021827738732099533,
0.03833688795566559,
-0.044331829994916916,
0.016862696036696434,
-0.028529776260256767,
-0.0009126915247179568,
0.029544305056333542,
0.040027767419815063,
0.06074874848127365,
0.03191153705120087,
-0.0047459956258535385,
-0.008723408915102482,
0.006582907401025295,
0.012343431822955608,
-0.04660683125257492,
0.060133881866931915,
-0.01675509475171566,
-0.02633162960410118,
-0.025132641196250916,
-0.005164873320609331,
0.017047155648469925,
0.026715921238064766,
0.011252045631408691,
-0.05143352970480919,
-0.023088213056325912,
0.01517181470990181,
0.019767938181757927,
-0.012035999447107315,
0.02430257387459278,
0.050695691257715225,
0.04719095304608345,
-0.00548767764121294,
-0.008116229437291622,
-0.02099766954779625,
-0.03292606770992279,
-0.0501115657389164,
-0.0487588606774807,
-0.01873803697526455,
-0.056782860308885574,
0.010437347926199436,
-0.009737937711179256,
-0.058104824274778366,
0.02348787523806095,
-0.04008925333619118,
0.00840060506016016,
-0.006025685463100672,
-0.032587889581918716,
0.05084940791130066,
0.000013735406355408486,
-0.06133287027478218,
-0.029190756380558014,
-0.00004104109393665567,
-0.03194228187203407,
0.028345316648483276,
-0.005022685509175062,
0.005549164488911629,
-0.049220010638237,
-0.03553924709558487,
0.028483660891652107,
-0.0027784251142293215,
0.004573064856231213,
0.01323498785495758,
-0.037875737994909286,
0.008500520139932632,
-0.007051742635667324,
-0.005126444157212973,
0.014595378190279007,
-0.023226557299494743,
-0.011190558783710003,
0.022657806053757668,
0.010083800181746483,
-0.0469757504761219,
0.04448554664850235,
0.03455546125769615,
-0.016109485179185867,
0.02411811240017414,
0.00107505451887846,
-0.03400208055973053,
-0.05828928202390671,
0.054938264191150665,
0.028068626299500465,
-0.0016293944790959358,
-0.0010721723083406687,
-0.049250755459070206,
-0.005964198615401983,
0.028391430154442787,
-0.028099369257688522,
0.019260672852396965,
-0.010529577732086182,
0.07845688611268997,
-0.022519461810588837,
-0.027300044894218445,
0.023057470098137856,
0.0021885382011532784,
-0.000020115239749429747,
0.03203451260924339,
0.0038698120042681694,
0.035231813788414,
-0.0255169328302145,
-0.0004450572014320642,
0.017047155648469925,
0.023826051503419876,
0.017185499891638756,
-0.029728764668107033,
-0.02547081746160984,
-0.016770467162132263,
0.01829225942492485,
0.016509147360920906,
-0.04267169162631035,
0.021351216360926628,
0.01126741711050272,
-0.0018455582903698087,
-0.058688946068286896,
-0.0415341891348362,
0.02533247321844101,
0.052448056638240814,
0.004242574330419302,
0.0062139881774783134,
-0.012658550404012203,
0.08854068070650101,
0.0029936281498521566,
0.008823324926197529,
-0.013181187212467194,
0.03495512530207634,
0.005914241075515747,
-0.005622179713100195,
-0.0017658178694546223,
0.03526255860924721,
-0.06314672529697418,
-0.029882481321692467,
-0.04949670284986496,
-0.0028072469867765903,
0.03283383697271347,
-0.04276391863822937,
-0.015110328793525696,
-0.02262706309556961,
-0.019491247832775116,
0.0083544896915555,
-0.02181236632168293,
-0.0030416646040976048,
0.03556998819112778,
-0.025639906525611877,
0.056106507778167725,
-0.04350176081061363,
0.0034163484815508127,
0.024179600179195404,
-0.012343431822955608,
0.02948281727731228,
-0.012243516743183136,
-0.012235830537974834,
0.0356929637491703,
0.04159567505121231,
0.026531461626291275,
0.018676551058888435,
-0.02800714038312435,
-0.021520305424928665,
-0.016001883894205093,
-0.030359001830220222,
-0.04085783660411835,
-0.010875440202653408,
0.08202310651540756,
0.01607874222099781,
0.00113173748832196,
-0.0034778350964188576,
0.05712103843688965,
0.028975553810596466,
-0.03544701635837555,
0.07255417108535767,
-0.009830167517066002,
-0.0049535129219293594,
-0.032126739621162415,
0.04986562207341194,
-0.020797837525606155,
0.005280160345137119,
-0.012681608088314533,
0.02358010597527027,
0.025686021894216537,
-0.011759309098124504,
0.02447166107594967,
-0.003827539971098304,
-0.04411662369966507,
-0.0053109037689864635,
0.03517032787203789,
-0.003187695285305381,
-0.032495658844709396,
-0.03707640990614891,
0.004684509243816137,
0.037322357296943665,
0.030282143503427505,
-0.03636931627988815,
0.0013382940087467432,
-0.021059155464172363,
-0.00438091903924942,
0.005026528611779213,
0.03575444966554642,
-0.0469757504761219,
-0.046668317168951035,
-0.038675062358379364,
-0.04479297623038292,
0.009499677456915379,
0.004557693377137184,
0.02493281103670597,
0.018753409385681152,
-0.05318589508533478,
0.0273154154419899,
0.02782268077135086,
-0.042794663459062576,
-0.017692765220999718,
-0.004868968855589628,
0.014941240660846233,
0.03062031976878643,
0.049742646515369415,
-0.01144419051706791,
-0.03181930631399155,
0.020152227953076363,
-0.04122675582766533,
0.02262706309556961,
-0.038552090525627136,
0.008185401558876038,
0.005368547514081001,
0.048021022230386734,
0.015133385546505451,
0.004392447881400585,
0.019537363201379776,
-0.061486586928367615,
-0.016831953078508377,
0.03464769199490547,
-0.04672980681061745,
-0.032987553626298904,
0.07937917858362198,
0.05672137439250946,
-0.02470223605632782,
0.012427976354956627,
0.019291415810585022,
0.003562379162758589,
-0.028729606419801712,
-0.021612534299492836,
-0.03409431129693985,
0.026808151975274086,
-0.01969107985496521,
0.026270143687725067,
-0.04885109141469002,
-0.008884811773896217,
-0.05075717717409134,
-0.013965141028165817,
0.031727079302072525,
0.0025843579787760973,
-0.01787722483277321,
-0.028053253889083862,
-0.034248027950525284,
-0.02845291793346405,
0.006094857584685087,
0.008823324926197529,
0.014403232373297215,
0.03209599852561951,
0.029421331360936165,
-0.008638865314424038,
-0.024287201464176178,
-0.0014756780583411455,
0.03467843309044838,
-0.033479444682598114,
-0.06237814202904701,
0.029836365953087807,
0.02497892454266548,
0.00923835951834917,
-0.016401546075940132,
0.00583738274872303,
-0.0002690038236323744,
-0.009830167517066002,
-0.0029744135681539774,
-0.012543263845145702,
-0.0406426340341568,
0.009599593468010426,
0.0320652537047863,
0.003427877090871334,
-0.027699707075953484,
0.002966727828606963,
-0.029513560235500336,
0.045592304319143295,
0.007624336518347263,
0.04995784908533096,
-0.025978082790970802,
-0.03910546749830246,
0.05767441913485527,
0.05595279484987259,
-0.031542617827653885,
0.03148113191127777,
0.03517032787203789,
-0.03993553668260574,
0.03188079595565796,
0.004945827182382345,
-0.06492983549833298,
0.01251251995563507,
-0.031542617827653885,
0.01474140863865614,
-0.060041651129722595,
-0.0059180837124586105,
-0.05026528239250183,
-0.020521147176623344,
-0.0636386126279831,
0.030820151790976524,
0.018138542771339417,
-0.04350176081061363,
-0.04024296998977661,
-0.018415233120322227,
-0.02344176173210144,
0.04719095304608345,
0.006959512829780579,
-0.04759061709046364,
-0.03440174460411072,
0.008469777181744576,
0.025132641196250916,
-0.017554420977830887,
-0.006033371202647686,
-0.002415269846096635,
0.02253483422100544,
0.028437545523047447,
0.045991964638233185,
-0.04282540827989578,
-0.023503247648477554,
0.011813110671937466,
0.06090246140956879,
0.0048113251104950905,
0.047221697866916656,
-0.014618435874581337,
0.014026626944541931,
0.0035566147416830063,
0.0024575418792665005,
-0.04663757607340813,
-0.03237268701195717,
-0.042026080191135406,
0.014034313149750233,
0.06333118677139282,
-0.03215748444199562,
0.02190459705889225,
0.007751152850687504,
-0.00923835951834917,
0.016678236424922943,
0.0007080564391799271,
-0.003500892547890544,
-0.006967198569327593,
-0.02379530854523182,
-0.04571527615189552,
0.042794663459062576,
0.013388704508543015,
0.010890811681747437,
0.028914066031575203,
-0.044639259576797485,
0.06222442537546158,
-0.05699806660413742,
-0.010913869366049767,
0.05727475509047508,
-0.007862596772611141,
-0.0255169328302145,
-0.02004462666809559,
-0.02926761470735073,
-0.04362473264336586,
-0.024087369441986084,
-0.010398918762803078,
-0.005848911590874195,
-0.01815391518175602,
-0.008615807630121708,
-0.030635692179203033,
-0.04439331591129303,
0.011013784445822239,
-0.009691823273897171,
0.027622848749160767,
-0.03486289456486702,
0.021919967606663704,
-0.012750781141221523,
-0.004711409565061331,
-0.014910496771335602,
0.03603113815188408,
-0.05318589508533478,
0.00364692322909832,
0.005395447835326195,
0.013519363477826118,
0.01992165297269821,
-0.04642237350344658,
0.010122229345142841,
-0.06247037276625633,
-0.03781425207853317,
0.01792334020137787,
-0.013112014159560204,
-0.015740565955638885,
0.0009885890176519752,
0.0026669807266443968,
-0.02677740901708603,
0.002023292938247323,
-0.006056428886950016,
-0.018030941486358643,
0.017723508179187775,
-0.03034362941980362,
-0.012720037251710892,
0.011751623824238777,
-0.007209302391856909,
0.027884166687726974,
0.05856597423553467,
0.025209499523043633,
-0.012335746549069881,
0.00561065087094903,
0.01411117147654295,
-0.01789259724318981,
0.059365298599004745,
0.06093320623040199,
-0.009799424558877945,
-0.006171715911477804,
-0.07519809156656265,
-0.005091858096420765,
-0.0077857389114797115,
0.009553478099405766,
-0.01992165297269821,
-0.014226458966732025,
0.01661675050854683,
0.0758744478225708,
0.011766995303332806,
0.05275548994541168,
-0.0268696378916502,
-0.01950662024319172,
0.03181930631399155,
-0.018000198528170586,
-0.017369961366057396,
0.015955768525600433,
0.0035796721931546926,
-0.024948181584477425,
-0.0025171071756631136,
-0.01638617552816868,
-0.04691426455974579,
0.009115386754274368,
0.028867952525615692,
-0.03713789954781532,
-0.043471015989780426,
-0.025132641196250916,
-0.05355481803417206,
-0.033448703587055206,
-0.04989636316895485,
-0.02794565260410309,
-0.012673922814428806,
-0.03437099978327751,
0.0016582163516432047,
-0.0019108877750113606,
-0.04783656448125839,
0.05684434995055199,
-0.05410819500684738,
0.05450785905122757,
-0.011398076079785824,
0.006129444111138582,
-0.01345787663012743,
0.009576535783708096,
-0.015609906986355782,
-0.02714632824063301,
-0.032495658844709396,
-0.021335845813155174,
-0.005522264167666435,
0.007020999677479267,
-0.029375215992331505,
0.038275398313999176,
-0.036553774029016495,
0.0003273680340498686,
-0.023902909830212593,
-0.0388287790119648,
-0.01901472732424736,
0.035201068967580795,
-0.0320652537047863,
0.021781623363494873,
-0.028622005134820938,
0.04101155325770378,
0.03203451260924339,
0.0066367085091769695,
-0.00007986050331965089,
0.024041255936026573,
-0.010168343782424927,
0.03012842684984207,
-0.009776366874575615,
0.018276887014508247,
0.014756780117750168,
0.05020379647612572,
-0.02889869548380375,
0.03621559962630272,
-0.029698021709918976,
-0.017308473587036133,
0.013334902934730053,
0.015310159884393215,
0.01316581480205059,
0.03132741525769234,
-0.0002436646173009649,
-0.00043737137457355857,
0.032803092151880264,
-0.011482619680464268,
0.020106114447116852,
0.005422348156571388,
0.008485148660838604,
-0.005103386472910643,
-0.017400704324245453,
0.006194773595780134,
-0.044147368520498276,
-0.009545792825520039,
-0.0216740220785141,
-0.021597163751721382,
-0.03772202134132385,
-0.022196657955646515,
-0.0451618954539299,
0.010729408822953701,
-0.02334953099489212,
-0.003814089810475707,
0.028468288481235504,
-0.010967670008540154,
-0.0028514403384178877,
-0.03369464725255966,
-0.03729161247611046,
0.03271086513996124,
-0.049373727291822433,
-0.039228443056344986,
0.03464769199490547,
0.025209499523043633,
-0.0013498227344825864,
0.04629939794540405,
-0.01122130174189806,
0.025363216176629066,
0.035385530441999435,
0.029728764668107033,
0.03993553668260574,
0.02579362317919731,
0.000984746147878468,
0.008185401558876038,
0.014610749669373035,
-0.0028110898565500975,
-0.0370149239897728,
0.019260672852396965,
-0.0021270515862852335,
-0.01573288068175316,
0.013073584996163845,
0.07987107336521149,
0.011505677364766598,
-0.00041455408791080117,
-0.04371696338057518,
-0.03716864064335823,
0.03101998195052147,
-0.06837308406829834,
0.00473062414675951,
0.012412604875862598,
-0.016247829422354698,
0.060226112604141235,
-0.0062677888199687,
0.02276540920138359,
0.016770467162132263,
-0.0033183542545884848,
0.0021674020681530237,
0.0059411413967609406,
-0.005214830860495567,
-0.006748152896761894,
0.07292309403419495,
0.010168343782424927,
0.03796796500682831,
0.01720087230205536,
0.017323845997452736,
0.015141071751713753,
-0.00005256983058643527,
-0.024010511115193367,
0.015064213424921036,
0.012612435966730118,
-0.012812267057597637,
-0.04719095304608345,
0.0460534542798996,
0.05008082464337349,
-0.03864431753754616,
0.027207814157009125,
0.00259012239985168,
-0.02108989842236042,
-0.011059899814426899,
0.015563791617751122,
0.015771308913826942,
0.00813160091638565,
-0.008262259885668755,
-0.021028412505984306,
0.044147368520498276,
-0.02845291793346405,
-0.033417958766222,
-0.001721624401398003,
-0.07642782479524612,
0.039904795587062836,
-0.014641493558883667,
0.015625279396772385,
-0.011121386662125587,
-0.024287201464176178,
0.056567657738924026,
0.015863539651036263,
-0.03406357020139694,
-0.013381018303334713,
0.0264238603413105,
0.029605790972709656,
0.002084779553115368,
-0.012858382426202297,
-0.008139287121593952,
-0.022319629788398743,
0.010199087671935558,
0.034032825380563736,
0.010145287029445171,
0.047529131174087524,
0.04918926954269409,
-0.023195814341306686,
-0.052448056638240814,
0.01449546217918396,
0.0028283828869462013,
-0.04451628774404526,
0.011889968067407608,
0.011936083436012268,
0.01855357736349106,
-0.023334158584475517,
0.007305374834686518,
-0.03689195215702057,
0.033479444682598114,
0.028929438441991806,
0.0007056546164676547,
-0.01323498785495758,
0.027084840461611748,
-0.003522028448060155,
0.008984727784991264,
0.00966107938438654,
0.03932067006826401,
0.017907967790961266,
-0.009292160160839558,
0.031634848564863205,
-0.025978082790970802,
-0.017938710749149323,
-0.024102741852402687,
-0.014979669824242592,
0.004423191305249929,
-0.0021116798743605614,
-0.014941240660846233,
-0.004880497697740793,
-0.05364704504609108,
0.007804953493177891,
-0.03603113815188408,
0.015010412782430649,
-0.006517577916383743,
0.014772152528166771,
-0.002576672239229083,
-0.039720334112644196,
-0.006905712187290192,
0.0007301532314158976,
0.0047690533101558685,
0.02407199889421463,
0.06087172031402588,
-0.02948281727731228,
-0.006648236885666847,
-0.030835522338747978,
-0.04863588884472847,
-0.05586056411266327,
-0.009315217845141888,
-0.049834877252578735,
-0.03022065758705139,
-0.009991570375859737,
-0.04460851848125458,
-0.05091089382767677,
-0.007416819222271442,
-0.04795953631401062,
-0.023272672668099403,
0.04479297623038292,
0.013135071843862534,
0.02221202850341797,
0.025086527690291405,
-0.020075369626283646,
0.022319629788398743,
0.04383993521332741,
-0.010099171660840511,
-0.0268696378916502,
0.00420030253008008,
0.004011999815702438,
0.0406426340341568,
0.022796152159571648,
-0.03052808903157711,
0.029559675604104996,
-0.004926612600684166,
-0.016278574243187904,
-0.027607476338744164,
-0.048574402928352356,
-0.029282987117767334,
-0.04728318378329277,
0.014188029803335667,
0.009630336426198483,
0.019383646547794342,
-0.027392273768782616,
-0.07255417108535767,
-0.009676451794803143,
-0.04863588884472847,
-0.02055189199745655,
0.004915083758533001,
0.08042445778846741,
0.002125130034983158,
0.000521194888278842,
-0.00540697667747736,
-0.048789605498313904,
0.279886931180954,
0.06886497884988785,
0.005599122028797865,
0.016693608835339546,
0.052048396319150925,
0.049373727291822433,
0.04642237350344658,
-0.025978082790970802,
0.01029900275170803,
0.001872458728030324,
-0.005230202805250883,
0.004165716003626585,
-0.01054494921118021,
-0.004342490341514349,
0.00450389226898551,
0.02745375968515873,
-0.015141071751713753,
-0.0006499324226751924,
-0.027284672483801842,
-0.05189467966556549,
-0.05161798745393753,
0.024809837341308594,
-0.0185074619948864,
-0.021704765036702156,
-0.008293002843856812,
-0.0053109037689864635,
0.04826696962118149,
-0.03627708554267883,
-0.011228987947106361,
-0.030328258872032166,
-0.026085684075951576,
-0.030604947358369827,
0.0018484405009076,
-0.02230425924062729,
-0.005360861774533987,
0.011390389874577522,
-0.007478306069970131,
0.002711174078285694,
-0.0013334903633221984,
-0.0379372239112854,
0.008000941947102547,
0.03246491774916649,
-0.015310159884393215,
0.0012383782304823399,
0.013995883986353874,
0.07163187116384506,
-0.04995784908533096,
0.03246491774916649,
0.07882580161094666,
-0.01570982299745083,
0.024502404034137726,
0.007509049493819475,
0.040027767419815063,
-0.025532305240631104,
0.018522834405303,
0.009899340569972992,
0.0361233688890934,
0.00016092191799543798,
-0.055614616721868515,
0.026792779564857483,
0.014910496771335602,
0.018753409385681152,
0.0018225008388981223,
0.000085504783783108,
0.002048271941021085,
0.011751623824238777,
0.016693608835339546,
0.01878415234386921,
-0.03271086513996124,
0.03507809713482857,
-0.006502206437289715,
0.0026996454689651728,
-0.0465146005153656,
-0.013565477915108204,
0.019521990790963173,
-0.011459561996161938,
-0.0147875240072608,
0.04749838635325432,
0.021658649668097496,
-0.03274160623550415,
0.02230425924062729,
0.02293449640274048,
-0.019091585651040077,
-0.0018023255979642272,
0.02610105648636818,
0.016155600547790527,
0.0171547569334507,
-0.002834147308021784,
-0.016140228137373924,
0.013780681416392326,
0.03437099978327751,
-0.020890068262815475,
0.02465612068772316,
-0.03400208055973053,
0.018768779933452606
] |
1208_7 | Hilton echoed similar thoughts in the Nova PBS documentary Decoding Nazi Secrets.
While working at Bletchley, Turing, who was a talented long-distance runner, occasionally ran the to London when he was needed for meetings, and he was capable of world-class marathon standards. Turing tried out for the 1948 British Olympic team, but he was hampered by an injury. His tryout time for the marathon was only 11 minutes slower than British silver medallist Thomas Richards' Olympic race time of 2 hours 35 minutes. He was Walton Athletic Club's best runner, a fact discovered when he passed the group while running alone. When asked why he ran so hard in training he replied:
Due to the problems of counterfactual history, it is hard to estimate the precise effect Ultra intelligence had on the war. However, official war historian Harry Hinsley estimated that this work shortened the war in Europe by more than two years and saved over 14 million lives.
At the end of the war, a memo was sent to all those who had worked at Bletchley Park, reminding them that the code of silence dictated by the Official Secrets Act did not end with the war but would continue indefinitely. Thus, even though Turing was appointed an Officer of the Order of the British Empire (OBE) in 1946 by King George VI for his wartime services, his work remained secret for many years.
Bombe
Within weeks of arriving at Bletchley Park, Turing had specified an electromechanical machine called the bombe, which could break Enigma more effectively than the Polish bomba kryptologiczna, from which its name was derived. The bombe, with an enhancement suggested by mathematician Gordon Welchman, became one of the primary tools, and the major automated one, used to attack Enigma-enciphered messages.
The bombe searched for possible correct settings used for an Enigma message (i.e., rotor order, rotor settings and plugboard settings) using a suitable crib: a fragment of probable plaintext. For each possible setting of the rotors (which had on the order of 1019 states, or 1022 states for the four-rotor U-boat variant), the bombe performed a chain of logical deductions based on the crib, implemented electromechanically. | [
0.056258171796798706,
-0.028773263096809387,
0.008489339612424374,
0.03622731938958168,
-0.020107541233301163,
0.005947139114141464,
-0.04334394633769989,
-0.044110823422670364,
-0.03457086160778999,
-0.0013640843098983169,
-0.01733144372701645,
0.009762356989085674,
-0.013788466341793537,
-0.07263868302106857,
-0.014486325904726982,
-0.023021677508950233,
-0.001472405856475234,
-0.009286892600357533,
-0.02266891486942768,
-0.0035813204012811184,
0.050491247326135635,
-0.0020245579071342945,
-0.036257993429899216,
-0.033343855291604996,
-0.02262290194630623,
0.0011714061256498098,
0.010268496349453926,
-0.037822425365448,
0.028251785784959793,
0.06368155032396317,
0.05708640068769455,
0.016825303435325623,
0.028803938999772072,
-0.059233658015728,
0.02243885025382042,
-0.03392668440937996,
0.04266909137368202,
-0.07362028956413269,
-0.008236270397901535,
-0.0352763906121254,
0.009041491895914078,
-0.04996977001428604,
-0.013397359289228916,
-0.011081387288868427,
-0.0636202022433281,
-0.029018664732575417,
0.00010286949691362679,
0.023451128974556923,
0.000952366623096168,
-0.04141141474246979,
0.0204909797757864,
0.021810010075569153,
0.05349741131067276,
-0.0008282282506115735,
0.0021875195670872927,
-0.03417208418250084,
-0.003972427919507027,
0.02207074873149395,
-0.03769972175359726,
-0.0328223779797554,
0.01331300288438797,
-0.011311450973153114,
0.022040074691176414,
-0.03524571284651756,
0.0089724725112319,
0.0073620290495455265,
0.032546304166316986,
0.004068288020789623,
-0.04055250808596611,
-0.028543200343847275,
0.006380425300449133,
-0.01944802701473236,
-0.0088421031832695,
-0.028788600116968155,
-0.01774555817246437,
-0.006783036049455404,
0.015268540941178799,
0.04472432658076286,
-0.06681041419506073,
0.027040118351578712,
-0.011004699394106865,
0.00753841083496809,
-0.015966400504112244,
-0.024540096521377563,
0.01230839267373085,
-0.04773048684000969,
0.04819061607122421,
0.043681371957063675,
-0.0073390225879848,
-0.03153402358293533,
0.01952471397817135,
-0.00283361435867846,
0.007975531741976738,
0.0074080415070056915,
0.023236403241753578,
-0.021472584456205368,
-0.004735471680760384,
-0.0035525623243302107,
0.02170264720916748,
0.007519239094108343,
0.00881142821162939,
0.05570602044463158,
-0.0044747330248355865,
0.05144217610359192,
0.011602864600718021,
0.019478701055049896,
-0.019248638302087784,
-0.005717075429856777,
-0.017132055014371872,
0.026426617056131363,
0.009424930438399315,
-0.0016622081166133285,
-0.010674942284822464,
-0.00784516241401434,
0.019739439710974693,
-0.014785408042371273,
0.027684297412633896,
0.01045254711061716,
-0.009202536195516586,
0.06496990472078323,
-0.028297798708081245,
-0.014194912277162075,
0.013658097945153713,
0.03118126094341278,
0.02584378980100155,
0.014532338827848434,
-0.03144199773669243,
0.014509332366287708,
-0.021181171759963036,
-0.04564458131790161,
-0.009539962746202946,
0.014816083014011383,
-0.0012308391742408276,
-0.03174874931573868,
0.001334367785602808,
0.024693472310900688,
0.021549273282289505,
0.007749302312731743,
0.0019219880923628807,
-0.014279268682003021,
0.013121282681822777,
-0.001656456501223147,
0.012745512649416924,
0.08619709312915802,
-0.03812917694449425,
0.01756150647997856,
-0.005015382077544928,
0.043865423649549484,
-0.018987899646162987,
0.008566027507185936,
-0.02262290194630623,
-0.0277303084731102,
-0.013543065637350082,
-0.0011723648058250546,
-0.004271510522812605,
0.004217829089611769,
-0.03138064965605736,
-0.006725520361214876,
0.008857441134750843,
0.02596648968756199,
-0.047209009528160095,
0.030383707955479622,
-0.010076777078211308,
0.04128871113061905,
0.0035084669943898916,
0.03447883576154709,
-0.04018440842628479,
-0.02608918957412243,
0.008949466049671173,
0.00972401350736618,
-0.03496963903307915,
0.015720998868346214,
-0.01611977629363537,
0.005187929607927799,
0.030445057898759842,
0.05690234899520874,
0.036994196474552155,
0.030445057898759842,
0.013642759993672371,
-0.027991047129034996,
-0.014731726609170437,
0.00012048372445860878,
0.04315989464521408,
0.03947887942194939,
-0.013589078560471535,
0.0020111375488340855,
-0.0008512345957569778,
0.040644533932209015,
0.009885057806968689,
0.0007040898781269789,
0.03398803249001503,
0.03567516431212425,
-0.036595419049263,
0.0041488101705908775,
0.008136576041579247,
-0.0070821186527609825,
-0.05463239178061485,
0.057301126420497894,
0.008527684025466442,
-0.04309854656457901,
0.026702692732214928,
0.040644533932209015,
-0.005674897227436304,
0.03561381623148918,
-0.05880420655012131,
-0.008266945369541645,
0.061810366809368134,
0.06251589953899384,
-0.001346829580143094,
0.01622713916003704,
0.03696351870894432,
-0.005042222794145346,
0.05202500522136688,
0.009233211167156696,
0.011227094568312168,
0.014808414503932,
-0.05171825364232063,
-0.008474001660943031,
-0.0027492577210068703,
0.04135006293654442,
-0.03684081882238388,
0.021902035921812057,
-0.025383662432432175,
0.003044505836442113,
0.03776107355952263,
-0.007921850308775902,
-0.012592136859893799,
0.07736265659332275,
0.024846848100423813,
0.05987783521413803,
0.005138082895427942,
0.03147267550230026,
-0.04248504340648651,
0.021840685978531837,
-0.006050667725503445,
0.0018711823504418135,
-0.01677929051220417,
0.02584378980100155,
-0.024831511080265045,
0.015421916730701923,
-0.008949466049671173,
-0.0014963707653805614,
0.05349741131067276,
0.044049471616744995,
0.033159807324409485,
0.02322106622159481,
0.009110511280596256,
0.011441820301115513,
-0.011963296681642532,
0.01782224513590336,
-0.04000035673379898,
0.03223955258727074,
-0.004290682729333639,
-0.006740857847034931,
-0.01474706456065178,
0.01052156649529934,
0.00770712411031127,
0.012776187621057034,
0.006694844923913479,
-0.04012305662035942,
-0.007220156490802765,
0.022699588909745216,
0.026549316942691803,
-0.02139589749276638,
0.0315033495426178,
0.040092382580041885,
0.051656901836395264,
0.021810010075569153,
0.0057324133813381195,
-0.005276120733469725,
-0.011380469426512718,
-0.0688963234424591,
-0.05119677633047104,
-0.02036827988922596,
-0.05570602044463158,
-0.00345095107331872,
-0.014547675848007202,
-0.06147294119000435,
0.040767233818769455,
-0.06061403825879097,
0.014325281605124474,
0.020153554156422615,
-0.009033823385834694,
0.045859307050704956,
-0.041503436863422394,
-0.026595329865813255,
-0.04929491877555847,
-0.01757684350013733,
-0.013213308528065681,
-0.007312181871384382,
0.018159670755267143,
-0.005421827547252178,
-0.04549120366573334,
-0.01907992549240589,
0.0240032821893692,
-0.027024781331419945,
0.02966284193098545,
0.011556851677596569,
-0.0315033495426178,
-0.0018922715680673718,
-0.014033867977559566,
-0.015375904738903046,
0.01751549355685711,
-0.03788377344608307,
0.018987899646162987,
-0.0018587205559015274,
0.012538455426692963,
-0.04773048684000969,
0.0403684601187706,
0.05033787339925766,
-0.011280776001513004,
0.017607519403100014,
-0.018144333735108376,
0.005130413919687271,
-0.0662582591176033,
0.06263859570026398,
0.027331532910466194,
-0.016073763370513916,
-0.004539917688816786,
-0.024938873946666718,
-0.0076572769321501255,
-0.0004531769664026797,
-0.04527647793292999,
-0.020644355565309525,
-0.016027750447392464,
0.057485178112983704,
-0.03880402818322182,
-0.016150450333952904,
0.010989362373948097,
0.004800656344741583,
-0.006223215255886316,
0.02291431464254856,
-0.012983244843780994,
0.03300642967224121,
-0.04322124645113945,
-0.017684206366539,
0.03512301295995712,
0.030445057898759842,
0.02990824356675148,
-0.00405678479000926,
-0.051227450370788574,
0.028313135728240013,
0.02133454568684101,
0.04825196415185928,
-0.03490828722715378,
0.02213210053741932,
0.00770712411031127,
-0.001877892529591918,
-0.034632209688425064,
-0.036626093089580536,
0.010084445588290691,
0.03944820538163185,
0.025276299566030502,
-0.024892861023545265,
-0.00016068491095211357,
0.04601268097758293,
0.0035794032737612724,
0.015398910269141197,
-0.01581302471458912,
0.033405207097530365,
-0.0016229056054726243,
0.002241201000288129,
0.019785452634096146,
0.0560741201043129,
-0.07717860490083694,
-0.01550627313554287,
-0.02941744029521942,
0.026656679809093475,
0.015705661848187447,
-0.025245623663067818,
-0.008197925984859467,
-0.025245623663067818,
-0.030613770708441734,
0.008742409758269787,
0.0020226407796144485,
0.008335963822901249,
0.040644533932209015,
0.02176399901509285,
0.04236234351992607,
-0.04049116000533104,
0.028282461687922478,
0.016948003321886063,
0.009424930438399315,
-0.0074080415070056915,
-0.011756240390241146,
-0.0157516747713089,
0.039724282920360565,
0.012891219928860664,
0.044294875115156174,
0.017684206366539,
-0.04119668900966644,
0.005287623964250088,
-0.009049160405993462,
-0.037178248167037964,
-0.03684081882238388,
-0.02243885025382042,
0.07816021144390106,
0.03101254627108574,
-0.0016670010518282652,
0.001028575119562447,
0.042699769139289856,
0.001417765743099153,
-0.037423647940158844,
0.049693696200847626,
-0.005011547822505236,
0.00442105159163475,
-0.03889605402946472,
0.03932550549507141,
-0.029800880700349808,
0.007032271474599838,
-0.03118126094341278,
0.030138306319713593,
0.02662600576877594,
0.0028547034598886967,
0.03171807527542114,
-0.031104572117328644,
-0.047147661447525024,
-0.00817491952329874,
0.03647271916270256,
0.016733277589082718,
-0.02931007742881775,
-0.03487761318683624,
-0.019662752747535706,
0.046656858175992966,
0.02420267090201378,
-0.033527906984090805,
-0.022469526156783104,
-0.0107286237180233,
-0.0014388548443093896,
-0.010590585879981518,
0.049816396087408066,
-0.04506175220012665,
-0.06711716204881668,
-0.04604335501790047,
-0.056687623262405396,
0.03217820078134537,
0.033221155405044556,
0.018205683678388596,
0.019831465557217598,
-0.04868141561746597,
-0.014371294528245926,
0.03205550089478493,
-0.02096644416451454,
-0.03223955258727074,
0.0032592315692454576,
0.012438761070370674,
0.031395986676216125,
0.023696530610322952,
-0.00264572910964489,
-0.021365221589803696,
0.003477791789919138,
-0.05846678093075752,
0.008995478972792625,
-0.028911301866173744,
-0.000291892938548699,
-0.019110599532723427,
0.02791436016559601,
-0.0067907050251960754,
-0.009616650640964508,
0.02972419187426567,
-0.07631970196962357,
-0.009340574033558369,
0.028420498594641685,
-0.02960149198770523,
-0.04147276282310486,
0.07368163764476776,
0.027438895776867867,
-0.019309988245368004,
-0.0004423927457537502,
0.01579768769443035,
0.01173323392868042,
-0.044294875115156174,
-0.03871200233697891,
-0.018036970868706703,
0.04742373526096344,
-0.021917372941970825,
0.015069153159856796,
-0.046472806483507156,
0.005268452223390341,
-0.05368146300315857,
-0.04383474588394165,
-0.0015395076479762793,
-0.005306795705109835,
-0.00700543075799942,
-0.019248638302087784,
-0.04911086708307266,
-0.03926415368914604,
0.00687122717499733,
0.018313046544790268,
0.009233211167156696,
0.050675299018621445,
0.042945168912410736,
-0.01210133545100689,
-0.028282461687922478,
-0.027040118351578712,
0.03546043857932091,
-0.009524624794721603,
-0.03558313846588135,
0.04444824904203415,
0.013903498649597168,
0.00808289460837841,
-0.0423009917140007,
0.02674870565533638,
0.007764639798551798,
-0.015130503103137016,
-0.016733277589082718,
0.009770026430487633,
-0.08681058883666992,
-0.00035276389098726213,
0.03585921600461006,
0.021380558609962463,
-0.01349705271422863,
-0.012967906892299652,
0.01593572460114956,
0.05487779155373573,
0.02346646785736084,
0.03776107355952263,
-0.03441748395562172,
-0.02947879023849964,
0.05561399459838867,
0.03487761318683624,
-0.05208635330200195,
0.02736220695078373,
0.028742589056491852,
-0.016426527872681618,
0.014156567864120007,
0.002986989915370941,
-0.037669047713279724,
-0.011311450973153114,
-0.06144226714968681,
0.03269967809319496,
-0.04760778695344925,
-0.024187332019209862,
-0.046411458402872086,
-0.040337782353162766,
-0.05727045238018036,
0.007523073349148035,
-0.0018721409142017365,
-0.06233184412121773,
-0.04358934611082077,
-0.013013919815421104,
0.0011100559495389462,
0.03021499328315258,
0.00981603842228651,
-0.035705842077732086,
-0.02122718282043934,
0.0074080415070056915,
0.028282461687922478,
-0.02736220695078373,
-0.004854337777942419,
0.02814442291855812,
0.040705885738134384,
0.015452591702342033,
0.04049116000533104,
-0.027132144197821617,
-0.01938667707145214,
0.011273106560111046,
0.021503260359168053,
-0.024033956229686737,
0.03248495236039162,
-0.016886653378605843,
-0.006664169952273369,
0.021840685978531837,
-0.005851279478520155,
-0.05512319132685661,
-0.022469526156783104,
-0.0415954627096653,
0.010659604333341122,
0.03190212696790695,
-0.023926593363285065,
0.02954014204442501,
0.010306840762495995,
0.015030808746814728,
0.02918737754225731,
-0.00039326463593170047,
-0.025629064068198204,
0.006970921065658331,
-0.0012270048027858138,
-0.06294535100460052,
0.03153402358293533,
0.02912602759897709,
0.011671883054077625,
0.021349884569644928,
-0.0066028195433318615,
0.05969378352165222,
-0.05319065973162651,
-0.008734740316867828,
0.07190248370170593,
-0.020536992698907852,
-0.021533934399485588,
-0.009202536195516586,
-0.024570772424340248,
-0.03368128091096878,
-0.0013314919779077172,
-0.014685713686048985,
-0.017116717994213104,
-0.02243885025382042,
0.0068520549684762955,
-0.01322864554822445,
-0.05193297937512398,
-0.0004795384011231363,
-0.003767288289964199,
0.029141364619135857,
-0.021994061768054962,
0.03812917694449425,
-0.00868872832506895,
-0.016564564779400826,
-0.015314553864300251,
0.02918737754225731,
-0.028788600116968155,
-0.019831465557217598,
0.015130503103137016,
0.02394193224608898,
0.010053770616650581,
-0.055583320558071136,
0.013167295604944229,
-0.07595159858465195,
-0.02736220695078373,
0.012960238382220268,
-0.005617381539195776,
-0.01774555817246437,
0.026211891323328018,
0.027622945606708527,
-0.018128996714949608,
-0.022055411711335182,
-0.03702487051486969,
-0.02760760858654976,
0.013029257766902447,
-0.030843833461403847,
-0.006142693106085062,
0.013359014876186848,
0.015498604625463486,
-0.014141230843961239,
0.04131938889622688,
0.02377321943640709,
-0.03506166487932205,
-0.005851279478520155,
0.015406579710543156,
-0.03846660256385803,
0.039294831454753876,
0.057975977659225464,
-0.01618112623691559,
-0.014194912277162075,
-0.07797615975141525,
-0.0038305555935949087,
-0.025368325412273407,
-0.014233255758881569,
0.0018012047512456775,
0.006303737405687571,
0.007147303316742182,
0.05987783521413803,
-0.022883640602231026,
0.04251571744680405,
-0.04233166575431824,
-0.012722506187856197,
0.01739279367029667,
-0.01544492319226265,
-0.013573740608990192,
-0.009348243474960327,
0.025214949622750282,
-0.04573660343885422,
0.0002787122211884707,
0.004516911692917347,
-0.023144379258155823,
0.022270137444138527,
0.016211802139878273,
-0.016871316358447075,
-0.018282372504472733,
-0.020383616909384727,
-0.048374664038419724,
-0.040460485965013504,
-0.03003094345331192,
-0.010084445588290691,
-0.0328223779797554,
-0.014187243767082691,
-0.0143482880666852,
-0.016441864892840385,
-0.07362028956413269,
0.035828541964292526,
-0.04515377804636955,
0.02955547906458378,
-0.0010400783503428102,
0.024831511080265045,
-0.012714837677776814,
0.023021677508950233,
0.0018385900184512138,
-0.01776089519262314,
-0.030690457671880722,
-0.017975620925426483,
-0.008427989669144154,
0.0005377731868065894,
-0.029264064505696297,
0.0523931048810482,
-0.02572108805179596,
0.019846802577376366,
0.0026879075448960066,
-0.012983244843780994,
-0.01950937695801258,
0.043620020151138306,
-0.026840731501579285,
0.013075270690023899,
0.01598173752427101,
0.009624319151043892,
0.022178111597895622,
0.005985483061522245,
0.007177978288382292,
0.03245427832007408,
-0.02030692994594574,
0.04849736765027046,
-0.0157516747713089,
0.008964804001152515,
-0.01835905946791172,
0.04858938977122307,
-0.04420284926891327,
0.0043980455957353115,
-0.0012135844444856048,
-0.001529921661131084,
0.018650474026799202,
0.018635135143995285,
0.009854382835328579,
0.031349971890449524,
-0.02584378980100155,
-0.016794629395008087,
0.030981872230768204,
0.010291502811014652,
0.03635001927614212,
0.010935680940747261,
0.021196508780121803,
0.017423467710614204,
-0.02625790424644947,
-0.000056587210565339774,
-0.04524580389261246,
-0.011449488811194897,
-0.02092043310403824,
-0.028221111744642258,
-0.0026476464699953794,
0.0008895784849300981,
-0.036257993429899216,
-0.010674942284822464,
-0.0006992968847043812,
-0.019125938415527344,
0.01884986087679863,
0.021671973168849945,
0.003236225340515375,
-0.017668869346380234,
-0.03935617953538895,
0.007039940450340509,
-0.06607420742511749,
0.0013544983230531216,
0.027515582740306854,
0.020015517249703407,
0.007350525818765163,
0.0554606169462204,
-0.03288372978568077,
0.015536949038505554,
0.025306975468993187,
0.037791747599840164,
0.04408014938235283,
0.019309988245368004,
0.0007755053811706603,
-0.003667594166472554,
-0.00442105159163475,
-0.025552375242114067,
-0.04834398999810219,
-0.004490070976316929,
-0.016855979338288307,
-0.029156701639294624,
0.0023869078140705824,
0.07638105005025864,
-0.0044325548224151134,
0.01751549355685711,
-0.05619681999087334,
-0.020444968715310097,
0.04561390355229378,
-0.050000447779893875,
-0.039294831454753876,
0.010743960738182068,
-0.013052264228463173,
0.0618717186152935,
-0.0005842652171850204,
0.026058515533804893,
0.018711823970079422,
-0.004033778328448534,
0.037239596247673035,
0.01249244250357151,
-0.0041679819114506245,
-0.003019582247361541,
0.06466315686702728,
-0.006365087348967791,
0.007013099268078804,
0.025629064068198204,
0.013573740608990192,
-0.0013027340173721313,
0.014233255758881569,
-0.05052192509174347,
0.054264288395643234,
-0.006825214251875877,
0.01696334220468998,
-0.013903498649597168,
0.04567525535821915,
0.05263850837945938,
-0.03788377344608307,
-0.0039149122312664986,
0.008635046891868114,
0.0023006340488791466,
-0.03794512525200844,
0.03138064965605736,
-0.0030387542210519314,
0.007166475057601929,
-0.040031034499406815,
-0.012929563410580158,
0.06773066520690918,
-0.016380514949560165,
-0.027070794254541397,
0.01337435282766819,
-0.07803750783205032,
0.03938685357570648,
0.021595284342765808,
-0.004321357700973749,
-0.0027780155651271343,
-0.030843833461403847,
0.02303701639175415,
0.03444816172122955,
-0.06404965370893478,
-0.0359819158911705,
0.03337453305721283,
0.03223955258727074,
0.00002330590177734848,
0.020398955792188644,
0.00009184562804875895,
-0.01671794056892395,
0.002291048178449273,
0.0650312528014183,
0.026273241266608238,
0.028788600116968155,
0.040889937430620193,
-0.0068328832276165485,
-0.03733162209391594,
0.01872716099023819,
0.016518551856279373,
-0.040031034499406815,
0.013719447888433933,
0.02444807067513466,
0.028957314789295197,
-0.024218007922172546,
-0.011020037345588207,
-0.04601268097758293,
0.03895740211009979,
0.03917212784290314,
0.0018884370801970363,
-0.006944080349057913,
0.006165699101984501,
-0.03496963903307915,
0.012116672471165657,
0.005981648340821266,
0.0384359247982502,
0.039846982806921005,
-0.009532294236123562,
0.023021677508950233,
-0.023911256343126297,
-0.012791525572538376,
-0.028650563210248947,
-0.014693383127450943,
-0.012569130398333073,
0.004037612583488226,
-0.037914447486400604,
-0.0029007161501795053,
-0.027745647355914116,
-0.008773084729909897,
-0.054325640201568604,
0.04604335501790047,
-0.01121942512691021,
-0.009823707863688469,
-0.016319165006279945,
-0.0223775003105402,
-0.01109672524034977,
-0.0073965382762253284,
0.021319208666682243,
0.017224080860614777,
0.0630066990852356,
-0.04303719475865364,
0.0021338381338864565,
-0.021625960245728493,
-0.03288372978568077,
-0.048067912459373474,
-0.0021357552614063025,
-0.06895767152309418,
-0.045859307050704956,
0.023926593363285065,
-0.056380871683359146,
-0.0662582591176033,
0.0003503673942759633,
-0.04644213244318962,
-0.021135158836841583,
0.03671811893582344,
0.020506318658590317,
0.015429586172103882,
0.023727206513285637,
-0.0017925773281604052,
0.015191853977739811,
0.05463239178061485,
-0.0001503799867350608,
-0.018374396488070488,
-0.015905050560832024,
-0.010038433596491814,
0.037791747599840164,
0.00006278813816606998,
-0.05193297937512398,
0.029754867777228355,
0.0010947183473035693,
-0.001780115650035441,
-0.0182977095246315,
-0.006196374539285898,
-0.03828255087137222,
-0.02638060413300991,
-0.004022275097668171,
-0.030199656262993813,
0.04420284926891327,
-0.016579903662204742,
-0.075644850730896,
-0.03411073610186577,
-0.0384359247982502,
-0.0290033258497715,
0.024524759501218796,
0.08092097193002701,
0.00820559449493885,
0.019417351111769676,
-0.018635135143995285,
-0.03727027028799057,
0.2782846987247467,
0.07024602591991425,
0.01032984722405672,
0.04079791158437729,
0.054571039974689484,
0.0858289897441864,
0.043129220604896545,
-0.02510758675634861,
0.006342081353068352,
0.029984930530190468,
-0.0003647463454399258,
-0.0065261321142315865,
-0.006591316778212786,
-0.04674888402223587,
0.009731682017445564,
0.013167295604944229,
0.013987855054438114,
-0.010943349450826645,
-0.021242521703243256,
-0.04681023582816124,
-0.022270137444138527,
0.017714882269501686,
-0.008658052422106266,
-0.001808873494155705,
0.021871361881494522,
-0.01562897488474846,
0.03208617493510246,
-0.025214949622750282,
-0.0321168527007103,
-0.021625960245728493,
-0.025322312489151955,
0.017730219289660454,
0.004746974911540747,
-0.010943349450826645,
0.01334367785602808,
0.01769954524934292,
-0.013926505111157894,
-0.007818321697413921,
-0.0195707269012928,
-0.02431003376841545,
0.004221663344651461,
0.007223990745842457,
-0.005157254636287689,
-0.02923339046537876,
0.0019162364769726992,
0.0838044285774231,
-0.0201842300593853,
0.006959417834877968,
0.07411108911037445,
-0.03380398452281952,
0.033834658563137054,
0.00921020470559597,
0.027070794254541397,
-0.004865841008722782,
0.017193404957652092,
0.037669047713279724,
0.006177202332764864,
0.002766512567177415,
-0.04340529441833496,
0.023067690432071686,
0.011817590333521366,
-0.0016066094394773245,
0.0009518873412162066,
0.015314553864300251,
-0.018159670755267143,
0.02650330401957035,
0.011817590333521366,
0.03769972175359726,
-0.03917212784290314,
0.03165672346949577,
-0.01599707640707493,
-0.0036810145247727633,
-0.06150361895561218,
-0.00009406237950315699,
0.03533773869276047,
0.0007232618518173695,
0.01866581104695797,
0.04245436564087868,
0.000437599781434983,
-0.03469356149435043,
0.027622945606708527,
0.004022275097668171,
-0.026181215420365334,
-0.0076227677054703236,
0.0028010220266878605,
0.004777649883180857,
0.018803849816322327,
-0.008757746778428555,
-0.05349741131067276,
0.04073655977845192,
0.02279161475598812,
-0.018328385427594185,
0.00422549806535244,
-0.015260872431099415,
0.014309943653643131
] |
1208_8 | The bombe detected when a contradiction had occurred and ruled out that setting, moving on to the next. Most of the possible settings would cause contradictions and be discarded, leaving only a few to be investigated in detail. A contradiction would occur when an enciphered letter would be turned back into the same plaintext letter, which was impossible with the Enigma. The first bombe was installed on 18 March 1940.
By late 1941, Turing and his fellow cryptanalysts Gordon Welchman, Hugh Alexander and Stuart Milner-Barry were frustrated. Building on the work of the Poles, they had set up a good working system for decrypting Enigma signals, but their limited staff and bombes meant they could not translate all the signals. In the summer, they had considerable success, and shipping losses had fallen to under 100,000 tons a month; however, they badly needed more resources to keep abreast of German adjustments. They had tried to get more people and fund more bombes through the proper channels, but had failed.
On 28 October they wrote directly to Winston Churchill explaining their difficulties, with Turing as the first named. They emphasised how small their need was compared with the vast expenditure of men and money by the forces and compared with the level of assistance they could offer to the forces. As Andrew Hodges, biographer of Turing, later wrote, "This letter had an electric effect." Churchill wrote a memo to General Ismay, which read: "ACTION THIS DAY. Make sure they have all they want on extreme priority and report to me that this has been done." On 18 November, the chief of the secret service reported that every possible measure was being taken. The cryptographers at Bletchley Park did not know of the Prime Minister's response, but as Milner-Barry recalled, "All that we did notice was that almost from that day the rough ways began miraculously to be made smooth." More than two hundred bombes were in operation by the end of the war.
Hut 8 and the naval Enigma
Turing decided to tackle the particularly difficult problem of German naval Enigma "because no one else was doing anything about it and I could have it to myself". In December 1939, Turing solved the essential part of the naval indicator system, which was more complex than the indicator systems used by the other services. | [
0.022332727909088135,
-0.020043736323714256,
0.01695660874247551,
0.003324308665469289,
-0.04511722922325134,
-0.02790461666882038,
-0.029410531744360924,
-0.01670060306787491,
-0.007966293022036552,
0.00926138088107109,
-0.03819001838564873,
0.024681955575942993,
-0.0037045523058623075,
-0.03322049602866173,
-0.02466689795255661,
-0.012446392327547073,
-0.028687691316008568,
0.008779487572610378,
-0.04493652284145355,
-0.021896012127399445,
0.032768722623586655,
-0.030841151252388954,
-0.04337036982178688,
-0.026142694056034088,
-0.017062023282051086,
0.02460666000843048,
0.016414480283856392,
-0.01292075589299202,
0.05864035338163376,
0.07216347754001617,
0.03614197298884392,
0.012619572691619396,
0.033822864294052124,
-0.05876082554459572,
0.006117782089859247,
-0.05126136541366577,
0.003911615815013647,
-0.07029613852500916,
-0.014065251685678959,
-0.04044889286160469,
-0.0072321598418056965,
-0.008515953086316586,
0.012499099597334862,
-0.023507341742515564,
-0.06032697856426239,
-0.04032842069864273,
-0.006260843947529793,
-0.01170849334448576,
-0.0025600565131753683,
-0.028070267289876938,
-0.00018459231068845838,
0.01783004030585289,
0.05541769415140152,
-0.017287911847233772,
-0.010518820025026798,
-0.03906344994902611,
-0.004160091746598482,
0.015480812638998032,
-0.029741832986474037,
-0.04571959748864174,
0.01832699216902256,
-0.006456613074988127,
0.023266395553946495,
-0.011761200614273548,
-0.02100752294063568,
-0.003768553724512458,
-0.004788811784237623,
0.00379678956232965,
-0.023251336067914963,
-0.010917888022959232,
-0.00002707412750169169,
0.015247395262122154,
-0.0027708846610039473,
-0.050538528710603714,
-0.014825738966464996,
-0.015074214898049831,
-0.0013910895213484764,
-0.013530651107430458,
-0.08933091163635254,
0.024200063198804855,
0.00699121318757534,
-0.0091032600030303,
-0.02751307748258114,
0.007506989408284426,
0.005899424199014902,
-0.025449972599744797,
0.05541769415140152,
0.04957474023103714,
0.019245600327849388,
-0.0026899417862296104,
0.010112223215401173,
0.019471488893032074,
-0.017739685252308846,
0.035750437527894974,
0.007040155585855246,
0.0039003214333206415,
-0.02305556833744049,
0.002571350894868374,
0.04897237569093704,
0.0006221313960850239,
0.020540688186883926,
0.07433199137449265,
-0.0314435176551342,
0.05933307483792305,
0.02349228225648403,
-0.005677301902323961,
-0.02615775354206562,
0.02782931923866272,
-0.029350295662879944,
0.015556108206510544,
0.002136517781764269,
0.011399781331419945,
0.015322690829634666,
-0.015149510465562344,
0.010443524457514286,
0.03566008061170578,
0.03424451872706413,
0.004039618652313948,
-0.016806017607450485,
0.04216563701629639,
-0.04397273436188698,
0.02168518491089344,
0.04565935954451561,
0.03069056011736393,
-0.02416994608938694,
0.032708488404750824,
-0.03313014283776283,
0.01146754715591669,
-0.03303978964686394,
-0.06487484276294708,
-0.0364130400121212,
0.02882322482764721,
0.011866615153849125,
-0.005120113026350737,
0.0028066502418369055,
-0.004717280622571707,
0.037437062710523605,
0.005858011543750763,
-0.007683934178203344,
-0.0037384354509413242,
0.00786087941378355,
-0.013184291310608387,
0.009314088150858879,
0.07216347754001617,
-0.005681066773831844,
0.01496880128979683,
-0.016354244202375412,
-0.0011943792924284935,
-0.0005341294454410672,
0.025615625083446503,
-0.031142333522439003,
-0.012913226149976254,
0.015104332938790321,
0.02615775354206562,
0.0086966622620821,
0.025449972599744797,
-0.010420936159789562,
-0.012446392327547073,
0.012167798355221748,
0.009411972016096115,
-0.060055915266275406,
0.03526854142546654,
0.006543203257024288,
0.010940476320683956,
0.01317676156759262,
0.003217012155801058,
-0.01578199490904808,
0.0034843122120946646,
0.02709142118692398,
-0.02502831630408764,
-0.0295159462839365,
0.01701684668660164,
-0.028040148317813873,
0.03683469444513321,
0.04291859269142151,
0.053520239889621735,
0.028913579881191254,
0.006370022892951965,
0.03653351217508316,
-0.03466617688536644,
-0.024591602385044098,
-0.02423018217086792,
0.0070514497347176075,
0.01944136992096901,
0.0024941726587712765,
-0.004363390617072582,
0.004634455312043428,
0.0053121172823011875,
0.0386417955160141,
-0.018161341547966003,
0.0005858952645212412,
0.0032038353383541107,
-0.01462997030466795,
0.001276263501495123,
-0.00487916637212038,
0.0066937948577106,
-0.05502615496516228,
0.05207456275820732,
0.03984652832150459,
-0.011753670871257782,
0.017875218763947487,
0.03894297778606415,
-0.0064302594400942326,
0.02969665452837944,
-0.05686337128281593,
-0.029862307012081146,
0.05891141667962074,
0.06144135445356369,
-0.023959117010235786,
-0.0025562916416674852,
0.0011426134733483195,
0.016233770176768303,
-0.012491569854319096,
0.008463245816528797,
0.022904975339770317,
0.010338110849261284,
-0.029244881123304367,
0.019983500242233276,
0.00472104549407959,
0.033461444079875946,
-0.04596054553985596,
0.049544621258974075,
-0.00475116353482008,
0.03412404656410217,
0.004367155022919178,
-0.006339904852211475,
-0.004980816040188074,
0.08613837510347366,
-0.01133954431861639,
0.04993616044521332,
-0.017498739063739777,
0.037678007036447525,
-0.006339904852211475,
0.07421152293682098,
0.01224309392273426,
0.014366434887051582,
-0.0196220800280571,
0.027814261615276337,
-0.06306774169206619,
0.006976154167205095,
-0.011399781331419945,
0.016806017607450485,
0.025073494762182236,
0.01763427071273327,
0.027121540158987045,
0.020721398293972015,
0.015081744641065598,
0.007077803369611502,
-0.008448186330497265,
0.014592321589589119,
-0.05282751843333244,
0.044123325496912,
0.02105269953608513,
-0.013929719105362892,
-0.021037640050053596,
0.010051986202597618,
0.014795620925724506,
0.045629240572452545,
-0.022844739258289337,
-0.0640917643904686,
0.008086767047643661,
0.005315882153809071,
0.021203290671110153,
-0.03300967067480087,
0.013907130807638168,
0.04484616592526436,
0.023401929065585136,
0.01177626010030508,
-0.006479201838374138,
-0.021097877994179726,
-0.027633551508188248,
-0.05023734271526337,
-0.03391321748495102,
-0.0151871582493186,
-0.06439295411109924,
0.008960197679698467,
0.0061817835085093975,
-0.04559912532567978,
0.037437062710523605,
-0.05318893864750862,
0.006874504499137402,
0.016384361311793327,
-0.02359769679605961,
0.05460450053215027,
-0.009464679285883904,
-0.041292205452919006,
-0.0028725340962409973,
-0.025525270029902458,
-0.014125487767159939,
0.007503224536776543,
-0.0004416567971929908,
0.0022118135821074247,
-0.04779776185750961,
-0.030344199389219284,
0.02751307748258114,
-0.020405156537890434,
0.028853341937065125,
0.02995266020298004,
-0.01826675608754158,
-0.001467326539568603,
-0.03454570472240448,
-0.027844378724694252,
0.04002723470330238,
-0.03490712493658066,
0.027136599645018578,
0.011738612316548824,
-0.004039618652313948,
-0.02814556285738945,
0.017498739063739777,
0.061230529099702835,
-0.049424149096012115,
0.04038865491747856,
-0.032527778297662735,
-0.0251036137342453,
-0.041352443397045135,
0.06680241227149963,
0.015676580369472504,
0.007623697631061077,
-0.022257432341575623,
-0.038370728492736816,
0.005500356666743755,
0.0331602618098259,
-0.03243742138147354,
0.003922909963876009,
-0.021519534289836884,
0.04933379590511322,
-0.03412404656410217,
0.00011012007598765194,
0.005880600307136774,
-0.013846893794834614,
-0.06620004773139954,
0.024832548573613167,
-0.020164210349321365,
0.05541769415140152,
-0.0251036137342453,
-0.00903549324721098,
0.030780915170907974,
0.00819971039891243,
0.030841151252388954,
-0.0020875753834843636,
-0.016294006258249283,
0.0025393501855432987,
0.0218056570738554,
-0.010323051363229752,
-0.04062960296869278,
0.003680081106722355,
0.02913946658372879,
-0.007454282138496637,
-0.04647255688905716,
-0.001772274379618466,
0.047617051750421524,
0.038611676543951035,
0.006012368015944958,
0.002187342382967472,
0.0026560586411505938,
0.07071779668331146,
-0.0030871268827468157,
0.011640727519989014,
0.002168518491089344,
0.04084043204784393,
0.0014569733757525682,
-0.0024264066014438868,
0.020269623026251793,
0.044514864683151245,
-0.03903333097696304,
-0.014456789940595627,
-0.01727285236120224,
0.019908204674720764,
0.006678735837340355,
0.014908564276993275,
0.019652199000120163,
-0.025796333327889442,
-0.01615847460925579,
-0.007646286394447088,
-0.03460593894124031,
-0.010481172241270542,
0.02707636170089245,
0.01006704568862915,
0.02752813696861267,
-0.06939259171485901,
0.04689421132206917,
0.0015492106322199106,
0.00030683030490763485,
0.0040132650174200535,
-0.01701684668660164,
-0.011874143965542316,
0.05602005869150162,
0.02820579893887043,
0.05297810956835747,
0.005383648443967104,
-0.0215496513992548,
-0.023371810093522072,
-0.014524555765092373,
-0.021037640050053596,
-0.03340120613574982,
-0.031232688575983047,
0.06294727325439453,
0.026443878188729286,
0.008395479060709476,
0.002851827535778284,
0.05611041560769081,
0.030118312686681747,
-0.02788955718278885,
0.038792386651039124,
0.013199349865317345,
0.0303743164986372,
-0.02142917923629284,
0.03840084746479988,
-0.006351199001073837,
-0.0009171967394649982,
-0.016489775851368904,
-0.008749369531869888,
0.04324989393353462,
-0.007875938899815083,
0.01858299784362316,
-0.015036567114293575,
-0.04508711397647858,
-0.005067405756562948,
0.044394392520189285,
0.007122980896383524,
-0.04680385813117027,
-0.021022582426667213,
0.01888418197631836,
0.04653279110789299,
0.03996700048446655,
-0.04424380138516426,
0.02498313970863819,
-0.005545534193515778,
0.006705089006572962,
0.01564646326005459,
0.03379274532198906,
0.012883108109235764,
-0.06397129595279694,
-0.0364130400121212,
-0.02889852039515972,
0.01677590049803257,
0.022031545639038086,
0.02292003482580185,
0.009080670773983002,
-0.06752525269985199,
0.008847254328429699,
0.07927139848470688,
-0.03436499461531639,
-0.015797054395079613,
-0.019968440756201744,
0.0182065200060606,
0.058369286358356476,
0.030660441145300865,
0.010089633986353874,
-0.017860159277915955,
-0.006942270789295435,
-0.03566008061170578,
0.029184643179178238,
-0.06056792661547661,
0.035810671746730804,
0.006219431292265654,
0.03653351217508316,
-0.0048829312436282635,
0.02751307748258114,
0.00044259801506996155,
-0.04692433029413223,
0.0015990941319614649,
0.0320458821952343,
-0.03936463221907616,
-0.026172813028097153,
0.050297580659389496,
0.027031185105443,
0.0011529666371643543,
-0.006780385039746761,
0.02361275628209114,
-0.01615847460925579,
-0.031413398683071136,
-0.028672633692622185,
-0.033642154186964035,
0.000293418241199106,
0.00402079476043582,
0.03909356892108917,
-0.044575102627277374,
-0.023748287931084633,
-0.04150303453207016,
-0.023281455039978027,
0.010797414928674698,
0.0024038178380578756,
-0.03707564249634743,
-0.017167437821626663,
-0.060417331755161285,
0.00142120779491961,
0.013221939094364643,
0.0007746053161099553,
0.031142333522439003,
0.049544621258974075,
0.03918392211198807,
-0.04273788258433342,
-0.022212255746126175,
-0.03057008609175682,
0.00996916089206934,
-0.036262448877096176,
-0.07553672790527344,
0.04213551804423332,
0.030720677226781845,
0.003352544503286481,
-0.008591248653829098,
0.015337750315666199,
-0.003911615815013647,
-0.03499747812747955,
0.012288271449506283,
-0.017257792875170708,
-0.05806810408830643,
0.01882394403219223,
0.023959117010235786,
0.004487628582865,
-0.015736818313598633,
-0.001248027547262609,
-0.011301896534860134,
0.03331085294485092,
-0.026368582621216774,
0.02063104324042797,
-0.04722551256418228,
-0.045448534190654755,
0.07782571762800217,
0.03734670579433441,
-0.03337109088897705,
0.011294366791844368,
0.024079591035842896,
-0.030223725363612175,
0.05436355248093605,
-0.008741839788854122,
-0.061049818992614746,
0.008282535709440708,
-0.034636057913303375,
0.02017926797270775,
-0.04821941629052162,
-0.03043455444276333,
-0.0319555290043354,
-0.02790461666882038,
-0.05608029663562775,
0.02504337579011917,
0.03150375559926033,
-0.060477569699287415,
-0.03909356892108917,
-0.00835783127695322,
-0.0325578935444355,
0.03846108540892601,
-0.0055380044505000114,
-0.015857290476560593,
-0.009660448879003525,
-0.017980631440877914,
0.023642875254154205,
-0.04285835847258568,
-0.010654352605342865,
0.0049017551355063915,
0.034696295857429504,
0.03788883611559868,
0.061863012611866,
-0.04794835299253464,
-0.02359769679605961,
0.022588733583688736,
0.022588733583688736,
-0.02683541551232338,
0.03514806926250458,
-0.01932089775800705,
-0.012100031599402428,
0.022664029151201248,
-0.00981104001402855,
-0.07638003677129745,
-0.03981640934944153,
-0.07957258075475693,
0.006546968128532171,
0.050177108496427536,
-0.024019353091716766,
0.05279739946126938,
-0.0023398164194077253,
-0.031082097440958023,
0.03228683024644852,
0.0019689847249537706,
-0.029410531744360924,
-0.04005735367536545,
-0.01920042373239994,
-0.03162422776222229,
0.043581198900938034,
0.004762458149343729,
-0.006027427036315203,
0.0044236271642148495,
-0.024079591035842896,
0.044454626739025116,
-0.05213479697704315,
-0.01627894677221775,
0.08143991231918335,
-0.05093006417155266,
-0.01543563511222601,
-0.05418284237384796,
-0.017287911847233772,
-0.046683382242918015,
-0.007273572497069836,
-0.014554673805832863,
0.00512387789785862,
-0.010789885185658932,
-0.005470238160341978,
-0.024004293605685234,
-0.031594108790159225,
-0.021579770371317863,
-0.017287911847233772,
0.02546503208577633,
-0.01267980970442295,
0.025073494762182236,
-0.0025035846047103405,
-0.020269623026251793,
0.0019407487707212567,
0.025374677032232285,
-0.008689132519066334,
-0.024305477738380432,
0.0008324889349751174,
0.04963497817516327,
0.02310074493288994,
-0.04511722922325134,
0.011030831374228,
-0.06969377398490906,
-0.025389736518263817,
0.014411612413823605,
-0.031082097440958023,
-0.01466008834540844,
0.021880952641367912,
0.048550717532634735,
-0.00913337804377079,
-0.009848687797784805,
-0.002725707134231925,
-0.023838642984628677,
-0.025555387139320374,
-0.03969593346118927,
0.004367155022919178,
0.015736818313598633,
0.004909284878522158,
0.021459296345710754,
0.04144279658794403,
0.04424380138516426,
-0.010232696309685707,
0.01133954431861639,
0.0424969382584095,
0.008561129681766033,
0.04478592798113823,
0.060357097536325455,
-0.03412404656410217,
-0.02011903189122677,
-0.07921116054058075,
-0.019155247136950493,
-0.002285226946696639,
-0.023326631635427475,
0.009389383718371391,
0.006848151329904795,
0.0182065200060606,
0.049303676933050156,
-0.016806017607450485,
0.05198420584201813,
-0.041352443397045135,
-0.030826091766357422,
0.07354892045259476,
-0.05044817179441452,
-0.02615775354206562,
0.0009087259531952441,
0.00492057902738452,
-0.022784503176808357,
0.009404443204402924,
0.010646822862327099,
-0.0369250513613224,
-0.01844746619462967,
0.011399781331419945,
-0.047857996076345444,
-0.025811392813920975,
-0.033340971916913986,
-0.051411956548690796,
-0.029034052044153214,
-0.05108065530657768,
-0.008847254328429699,
0.002659823512658477,
-0.028100384399294853,
-0.022197196260094643,
-0.001051317318342626,
-0.024516304954886436,
0.034455347806215286,
-0.04243670031428337,
0.05361059680581093,
0.004939402919262648,
0.02118823304772377,
-0.015420575626194477,
-0.008011470548808575,
-0.014810679480433464,
-0.01888418197631836,
-0.023778406903147697,
-0.04207528010010719,
0.010729648172855377,
0.0026899417862296104,
-0.04056936502456665,
0.04195480793714523,
-0.024832548573613167,
0.016444597393274307,
-0.03291931375861168,
-0.03819001838564873,
0.002415112219750881,
0.002659823512658477,
-0.03442522883415222,
0.03800930827856064,
-0.005786480847746134,
0.015104332938790321,
0.022453201934695244,
-0.009449620731174946,
-0.020661162212491035,
0.04120185226202011,
-0.023462165147066116,
0.030479731038212776,
0.014464319683611393,
-0.02398923598229885,
-0.009735744446516037,
0.03424451872706413,
-0.03228683024644852,
0.017905335873365402,
-0.036684103310108185,
0.004118679091334343,
-0.0159777645021677,
0.020420216023921967,
-0.002181695308536291,
0.026323404163122177,
-0.0253596194088459,
0.01703190617263317,
0.006912152748554945,
-0.023447105661034584,
0.024636778980493546,
0.013500533066689968,
-0.01155037246644497,
0.010767296887934208,
-0.028416628018021584,
0.036684103310108185,
-0.012973463162779808,
0.029666537418961525,
-0.02490784414112568,
-0.012980991974473,
-0.02933523617684841,
-0.021459296345710754,
-0.010232696309685707,
0.0320458821952343,
-0.017754744738340378,
-0.002925241133198142,
0.02919970266520977,
-0.011279307305812836,
-0.0009920218726620078,
-0.02057080715894699,
-0.03499747812747955,
0.006897093262523413,
-0.053339529782533646,
-0.014035133644938469,
0.009871277026832104,
0.010127282701432705,
-0.026368582621216774,
0.047496575862169266,
-0.04752669483423233,
0.042225874960422516,
0.0012602631468325853,
0.02981712855398655,
0.028597336262464523,
0.041412677615880966,
0.006791679188609123,
0.03800930827856064,
-0.03758765384554863,
0.012544277124106884,
-0.03921404108405113,
0.0012640279019251466,
-0.012649690732359886,
-0.025751156732439995,
0.004781282041221857,
0.051923967897892,
-0.003702669870108366,
0.029621358960866928,
-0.06650123000144958,
-0.005233056843280792,
0.024953020736575127,
-0.03129292652010918,
-0.025766216218471527,
0.01664036698639393,
-0.019923264160752296,
0.05529722198843956,
-0.010699530132114887,
0.01882394403219223,
0.03249765932559967,
-0.014328787103295326,
0.010601645335555077,
0.012559335678815842,
-0.020736457780003548,
0.024877725169062614,
0.05716455727815628,
0.018236637115478516,
0.0088246650993824,
0.039906762540340424,
0.005816598888486624,
0.0028160621877759695,
0.013651125133037567,
-0.03228683024644852,
0.028055207803845406,
0.03055502660572529,
-0.012002146802842617,
-0.04168374463915825,
0.03858155757188797,
0.02945570833981037,
-0.04800858721137047,
-0.0009506092173978686,
-0.00756346108391881,
-0.011633197776973248,
-0.006019897758960724,
-0.000962844758760184,
-0.004325742367655039,
0.007875938899815083,
-0.01620365120470524,
-0.0024339361116290092,
0.05888129770755768,
-0.03156398981809616,
-0.023928998038172722,
0.04294871166348457,
-0.050598762929439545,
0.026263168081641197,
-0.015676580369472504,
0.03487700596451759,
0.0023115803487598896,
-0.05282751843333244,
0.0518336147069931,
0.04391250014305115,
-0.060236625373363495,
0.0029384177178144455,
0.009351735934615135,
0.05559840425848961,
-0.00816959235817194,
0.0053083524107933044,
-0.0010701412102207541,
-0.0034391346853226423,
-0.017694508656859398,
0.04032842069864273,
0.014110429212450981,
0.028597336262464523,
0.02746790088713169,
-0.020344920456409454,
-0.054514143615961075,
0.012100031599402428,
0.015706699341535568,
-0.05897165462374687,
0.011226600967347622,
0.0017327441601082683,
0.039726052433252335,
-0.029094289988279343,
0.013590888120234013,
-0.042406581342220306,
0.05050840973854065,
0.016911432147026062,
-0.009660448879003525,
-0.016007883474230766,
0.0018720412626862526,
-0.015676580369472504,
0.020887048915028572,
0.0046532792039215565,
0.061290763318538666,
0.0240344125777483,
0.002772767096757889,
0.034455347806215286,
-0.03903333097696304,
-0.008192180655896664,
-0.02150447480380535,
-0.03049479052424431,
0.0021534592378884554,
0.01515704020857811,
-0.039906762540340424,
-0.017001787200570107,
-0.034395113587379456,
-0.009306558407843113,
-0.05379130318760872,
0.03776836395263672,
-0.03297955170273781,
-0.017107201740145683,
-0.025751156732439995,
-0.02746790088713169,
-0.02124846912920475,
0.022754384204745293,
0.0029704184271395206,
0.03996700048446655,
0.053399767726659775,
-0.04614125192165375,
-0.016188591718673706,
-0.0052782343700528145,
-0.018176401033997536,
-0.03535889834165573,
-0.0074806357733905315,
-0.08710215985774994,
-0.021112937480211258,
-0.016610248014330864,
-0.028868401423096657,
-0.020420216023921967,
-0.025570446625351906,
-0.06879022717475891,
-0.0319555290043354,
-0.0024377007503062487,
0.012039795517921448,
0.04803870618343353,
0.006012368015944958,
-0.019802790135145187,
0.04535817727446556,
0.02249837853014469,
-0.0021007522009313107,
-0.011949440464377403,
-0.006859445478767157,
0.019531724974513054,
0.007540872320532799,
0.03044961392879486,
-0.012107561342418194,
0.031714580953121185,
-0.012649690732359886,
0.01149013638496399,
-0.008591248653829098,
-0.035389017313718796,
-0.0738501027226448,
-0.0198780857026577,
0.009351735934615135,
0.0264739952981472,
0.012032265774905682,
0.0014917976222932339,
-0.06475436687469482,
-0.008546071127057076,
-0.049544621258974075,
-0.03683469444513321,
0.012393685057759285,
0.0894513875246048,
0.008643955923616886,
0.008877372369170189,
0.025133730843663216,
-0.034515585750341415,
0.2693781852722168,
0.06764572858810425,
0.0017958043608814478,
0.034816768020391464,
0.036443158984184265,
0.03225671127438545,
0.07168158143758774,
-0.020450333133339882,
0.042466819286346436,
-0.01217532716691494,
-0.014102899469435215,
-0.02174542099237442,
-0.011475076898932457,
-0.020796693861484528,
0.004035853780806065,
0.03057008609175682,
0.013831834308803082,
0.03969593346118927,
0.020329860970377922,
-0.018251696601510048,
-0.017604153603315353,
0.021414119750261307,
-0.008659014478325844,
-0.010616704821586609,
-0.010601645335555077,
0.004758693277835846,
0.031473636627197266,
-0.02055574767291546,
-0.01926065981388092,
-0.059363193809986115,
-0.0502072274684906,
-0.026293287053704262,
0.02323627844452858,
0.008967727422714233,
0.0032546601723879576,
0.0042090341448783875,
-0.005500356666743755,
0.015172099694609642,
-0.006242020055651665,
-0.045267824083566666,
0.018402287736535072,
0.021911071613430977,
-0.013816775754094124,
-0.005007169209420681,
0.01689637266099453,
0.03460593894124031,
-0.022332727909088135,
0.028175679966807365,
0.0667421817779541,
-0.00675779627636075,
0.04343060404062271,
0.02242308296263218,
0.03201576694846153,
-0.007409104611724615,
0.0040471479296684265,
0.02733236737549305,
0.02150447480380535,
0.026263168081641197,
-0.028190739452838898,
0.01509680412709713,
-0.00916349608451128,
0.002912064315751195,
-0.010955535806715488,
0.02118823304772377,
-0.02142917923629284,
-0.010315521620213985,
0.025826452299952507,
0.026127634570002556,
-0.0223628468811512,
0.037858717143535614,
-0.00702133122831583,
-0.0034203107934445143,
-0.03900321200489998,
-0.0008875490166246891,
0.03397345542907715,
0.00018506290507502854,
0.006671206094324589,
0.016068119555711746,
0.04460521787405014,
-0.03858155757188797,
0.02502831630408764,
0.0026240579318255186,
-0.007153098937124014,
-0.01727285236120224,
0.03129292652010918,
0.036382921040058136,
0.015706699341535568,
-0.02061598375439644,
-0.05102042108774185,
0.02541985549032688,
-0.0011426134733483195,
0.006309786345809698,
-0.006690029986202717,
-0.016414480283856392,
0.010812473483383656
] |
1208_9 | That same night, he also conceived of the idea of Banburismus, a sequential statistical technique (what Abraham Wald later called sequential analysis) to assist in breaking the naval Enigma, "though I was not sure that it would work in practice, and was not, in fact, sure until some days had actually broken." For this, he invented a measure of weight of evidence that he called the ban. Banburismus could rule out certain sequences of the Enigma rotors, substantially reducing the time needed to test settings on the bombes. Later this sequential process of accumulating sufficient weight of evidence using decibans (one tenth of a ban) was used in Cryptanalysis of the Lorenz cipher.
Turing travelled to the United States in November 1942 and worked with US Navy cryptanalysts on the naval Enigma and bombe construction in Washington; he also visited their Computing Machine Laboratory in Dayton, Ohio.
Turing's reaction to the American bombe design was far from enthusiastic:
During this trip, he also assisted at Bell Labs with the development of secure speech devices. He returned to Bletchley Park in March 1943. During his absence, Hugh Alexander had officially assumed the position of head of Hut 8, although Alexander had been de facto head for some time (Turing having little interest in the day-to-day running of the section). Turing became a general consultant for cryptanalysis at Bletchley Park.
Alexander wrote of Turing's contribution: | [
0.0344114787876606,
0.003155315760523081,
0.03645256906747818,
-0.026279015466570854,
-0.020506562665104866,
-0.008435436524450779,
-0.047869905829429626,
-0.02031521126627922,
-0.036006078124046326,
0.042671509087085724,
-0.007434824947267771,
-0.010819364339113235,
-0.03243417292833328,
-0.08055921643972397,
-0.02599198743700981,
-0.0303452480584383,
-0.022547651082277298,
-0.010899094864726067,
-0.021112510934472084,
-0.009089223109185696,
0.04914558678865433,
-0.005086775403469801,
-0.02331305854022503,
-0.03402877599000931,
-0.034857966005802155,
0.015340057201683521,
0.017237631604075432,
-0.032721202820539474,
0.08253651857376099,
0.054056957364082336,
0.06011644005775452,
-0.008746383711695671,
0.0688229575753212,
-0.056161828339099884,
0.018210338428616524,
-0.020777644589543343,
0.04895423725247383,
-0.06965214759111404,
-0.003171261865645647,
-0.026454422622919083,
0.0036376824136823416,
0.014805865474045277,
-0.0015706814592704177,
-0.016296816989779472,
-0.06690943986177444,
-0.008252057246863842,
-0.00489941006526351,
0.01050044409930706,
0.011831935495138168,
-0.024939551949501038,
0.0031652820762246847,
0.013873024843633175,
0.03884446993470192,
-0.0009841674473136663,
0.002720787189900875,
-0.05590669438242912,
-0.009639360010623932,
0.01784357987344265,
-0.008004894480109215,
-0.020426832139492035,
0.014781946316361427,
-0.018258176743984222,
0.021335754543542862,
-0.03281687945127487,
0.0031573090236634016,
-0.0008919796673581004,
0.004767855629324913,
0.010213416069746017,
-0.03192390128970146,
-0.05887265130877495,
0.005373803898692131,
-0.01750871352851391,
0.014263701625168324,
-0.016807088628411293,
0.017428983002901077,
-0.015300191938877106,
0.03281687945127487,
-0.021319808438420296,
-0.052143435925245285,
0.03064822219312191,
0.006888674106448889,
-0.016456278041005135,
-0.0077218529768288136,
0.0237754937261343,
0.0004950736183673143,
-0.032848771661520004,
0.07188458740711212,
0.054790474474430084,
-0.008706518448889256,
-0.025545500218868256,
0.02509901113808155,
0.0011780111817643046,
0.012302342802286148,
0.010085848160088062,
0.0034363640006631613,
-0.013267076574265957,
-0.002234434010460973,
0.009878549724817276,
0.017237631604075432,
0.009320439770817757,
0.012693019583821297,
0.0711829662322998,
-0.024875767529010773,
0.04694503918290138,
0.012740857899188995,
0.013841132633388042,
0.002045075176283717,
0.02489171363413334,
-0.013179372996091843,
0.014072349295020103,
0.013091670349240303,
0.005337925162166357,
-0.012557478621602058,
-0.0204906165599823,
0.019661424681544304,
0.023249275982379913,
0.0155154624953866,
-0.001689279917627573,
-0.02514684945344925,
0.05791588872671127,
-0.03466661646962166,
0.027012532576918602,
0.022340353578329086,
0.033869314938783646,
-0.018003039062023163,
-0.011815989390015602,
-0.03546391427516937,
0.019533855840563774,
-0.029484163969755173,
-0.041937991976737976,
-0.00544157437980175,
0.011337609961628914,
-0.026279015466570854,
-0.0048236665315926075,
0.028670916333794594,
0.0011760179186239839,
0.0013195319334045053,
0.04024771600961685,
-0.003771230112761259,
0.018162500113248825,
0.04286286234855652,
-0.010325037874281406,
-0.005537250079214573,
0.08763924241065979,
-0.01835385151207447,
0.019358450546860695,
-0.018624933436512947,
0.035240672528743744,
-0.019709262996912003,
0.014758028090000153,
-0.04994288831949234,
-0.02812875248491764,
-0.0012706973357126117,
0.0022085215896368027,
0.001478991936892271,
-0.0102213891223073,
-0.017349254339933395,
0.0080886110663414,
-0.006187050137668848,
0.035240672528743744,
-0.08559815585613251,
0.05498182401061058,
0.005533263552933931,
0.04576503485441208,
-0.0003301321412436664,
0.019757099449634552,
-0.026964694261550903,
0.001215882832184434,
0.009870577603578568,
-0.024381441995501518,
-0.00815638154745102,
0.0023639951832592487,
-0.01570681482553482,
0.022563597187399864,
0.0595104917883873,
0.042958538979291916,
0.038525547832250595,
0.004405084066092968,
0.019964398816227913,
-0.03913149610161781,
-0.0357828363776207,
-0.02189386449754238,
0.028798485174775124,
0.013825186528265476,
-0.002409840002655983,
-0.0145347835496068,
0.01216680184006691,
-0.002000227104872465,
-0.002810483332723379,
-0.03090335801243782,
0.02970740757882595,
0.028144698590040207,
-0.05045315995812416,
0.006856782361865044,
-0.005381776485592127,
0.048858560621738434,
-0.03734554350376129,
0.01929466612637043,
0.0009846658213064075,
-0.019964398816227913,
-0.014144106768071651,
0.03791959956288338,
0.03667581081390381,
0.0449996255338192,
-0.0371541902422905,
-0.0068727280013263226,
0.060467250645160675,
0.06537862122058868,
-0.0383341945707798,
-0.01462248619645834,
-0.00567677803337574,
0.024094413965940475,
0.010484497994184494,
-0.013546131551265717,
0.0024457185063511133,
0.024748200550675392,
-0.06818512082099915,
0.0016763238236308098,
0.005612993612885475,
0.03517688810825348,
-0.029866866767406464,
0.028415780514478683,
-0.020937103778123856,
0.028320105746388435,
0.02296224795281887,
0.027506858110427856,
-0.012429910711944103,
0.087447889149189,
0.029213082045316696,
0.0637202337384224,
-0.004317380953580141,
0.02983497641980648,
-0.01703033410012722,
0.030249571427702904,
0.011616664938628674,
0.010859229601919651,
0.010404768399894238,
0.02868686243891716,
-0.03546391427516937,
-0.0025533540174365044,
0.0032569714821875095,
-0.001474008895456791,
0.03986501321196556,
0.018034931272268295,
0.02863902598619461,
0.040662314742803574,
0.005003059282898903,
0.005704683251678944,
0.008048745803534985,
0.0026968680322170258,
-0.07896462082862854,
0.04515908658504486,
-0.014032484032213688,
-0.022340353578329086,
-0.050995323807001114,
-0.006266780197620392,
-0.002509502461180091,
0.019262773916125298,
-0.018497366458177567,
-0.029819030314683914,
-0.03501742705702782,
-0.004867517855018377,
0.010787472128868103,
-0.006713268347084522,
0.026884963735938072,
0.05061262100934982,
0.040789879858493805,
0.004476841073483229,
-0.01216680184006691,
-0.011409366503357887,
-0.021543052047491074,
-0.061455901712179184,
-0.047965582460165024,
-0.01528424583375454,
-0.054184526205062866,
0.0028064968064427376,
-0.022994140163064003,
-0.053419116884469986,
0.041427720338106155,
-0.05612993612885475,
-0.002517475513741374,
-0.018880069255828857,
-0.005852183792740107,
0.06601645797491074,
-0.0102213891223073,
-0.0383341945707798,
-0.003829034510999918,
-0.012103017419576645,
-0.004540625028312206,
0.021335754543542862,
0.00538974953815341,
-0.008427463471889496,
-0.026869017630815506,
-0.024190090596675873,
0.026486314833164215,
-0.003380553098395467,
0.005329952109605074,
0.019948452711105347,
-0.03667581081390381,
-0.013657753355801105,
-0.02603982575237751,
-0.0029719367157667875,
-0.007016242016106844,
-0.006454145535826683,
0.01389694306999445,
0.027044424787163734,
0.017110062763094902,
-0.02262738160789013,
0.05762886255979538,
0.023823332041502,
-0.03849365562200546,
0.0006228908314369619,
-0.03128606081008911,
-0.031062817201018333,
-0.05561966449022293,
0.06946080178022385,
0.027889562770724297,
0.007514555007219315,
-0.007119891233742237,
-0.04292664676904678,
-0.009296520613133907,
0.011552880518138409,
-0.01878439448773861,
0.0006702305399812758,
-0.03913149610161781,
0.05689534544944763,
-0.04350070282816887,
-0.02744307555258274,
0.03230660781264305,
-0.006075427867472172,
-0.018832232803106308,
0.010556255467236042,
0.0007798593142069876,
0.03744122013449669,
-0.05255803093314171,
-0.013769375160336494,
0.0009552653646096587,
0.011281798593699932,
0.021590890362858772,
0.0022364272736012936,
-0.008196246810257435,
-0.01613735780119896,
0.012214640155434608,
0.041045017540454865,
-0.008307868614792824,
0.010093821212649345,
0.006816917099058628,
-0.018497366458177567,
-0.038142845034599304,
-0.010125713422894478,
0.04184231907129288,
0.05335533246397972,
-0.006234887987375259,
0.006131238769739866,
0.007036174647510052,
0.07692352682352066,
-0.01758844405412674,
0.033996883779764175,
-0.007048134226351976,
0.03482607379555702,
0.0224998127669096,
0.00996625330299139,
0.010356930084526539,
0.03184417262673378,
-0.055683448910713196,
-0.030887411907315254,
-0.03667581081390381,
0.016360601410269737,
0.01947007142007351,
-0.04114069417119026,
0.0033028163015842438,
-0.012118963524699211,
-0.03603797033429146,
-0.01600181683897972,
-0.017524659633636475,
-0.013330860063433647,
0.018768448382616043,
0.004831639584153891,
0.06805755198001862,
-0.05032559111714363,
0.016504114493727684,
0.012095045298337936,
0.011265852488577366,
-0.007111918181180954,
-0.037377435714006424,
-0.012087072245776653,
0.02189386449754238,
0.029468217864632607,
0.011361528187990189,
0.01738114468753338,
-0.020331157371401787,
-0.017173847183585167,
-0.011680448427796364,
-0.02954794652760029,
-0.02364792488515377,
-0.04101312533020973,
0.07092782855033875,
-0.0021108523942530155,
0.022180892527103424,
-0.0008426466956734657,
0.0343158021569252,
0.005896035581827164,
-0.02812875248491764,
0.02484387531876564,
-0.005070829764008522,
-0.0014152079820632935,
-0.03189200907945633,
0.03351850435137749,
-0.012677074410021305,
-0.028033077716827393,
-0.018832232803106308,
0.015483571216464043,
0.03897203505039215,
0.01291626412421465,
0.023679817095398903,
-0.014407215639948845,
-0.06276347488164902,
0.0108831487596035,
0.0042177182622253895,
-0.00400045420974493,
-0.024094413965940475,
-0.017476821318268776,
0.0019224901916459203,
0.029292810708284378,
0.04082177206873894,
-0.04806125909090042,
0.01509289350360632,
-0.047104500234127045,
0.015356003306806087,
0.029085513204336166,
0.030743896961212158,
-0.01698249578475952,
-0.024046575650572777,
-0.03846176341176033,
-0.051760733127593994,
0.027650373056530952,
0.036261215806007385,
0.00025638187071308494,
0.026151448488235474,
-0.043596379458904266,
0.003665587864816189,
-0.0016733339289203286,
-0.039290957152843475,
-0.018927907571196556,
0.02395089901983738,
0.020458724349737167,
0.05093153938651085,
0.03881257772445679,
0.004739949945360422,
-0.016201140359044075,
-0.001243788399733603,
-0.03565526753664017,
0.017811687663197517,
-0.05638507381081581,
0.011321663856506348,
0.011935585178434849,
0.05494993180036545,
0.026661720126867294,
0.0171579010784626,
-0.005142586771398783,
-0.04126825928688049,
-0.00849124789237976,
0.037887707352638245,
-0.03256174176931381,
-0.03162092715501785,
0.06442186236381531,
0.039035819470882416,
-0.022547651082277298,
0.0034602831583470106,
0.0164722241461277,
-0.012836534529924393,
-0.0421612374484539,
-0.011106392368674278,
-0.04133204370737076,
0.016376547515392303,
-0.046339090913534164,
0.02108061872422695,
-0.015483571216464043,
-0.024748200550675392,
-0.030297409743070602,
-0.01750871352851391,
0.02616739459335804,
-0.0030895385425537825,
-0.017827633768320084,
-0.009894495829939842,
-0.03149335831403732,
-0.021702513098716736,
-0.007674015127122402,
-0.025194687768816948,
0.023073868826031685,
0.04455313831567764,
0.05737372487783432,
-0.006418267264962196,
-0.02168656699359417,
-0.039641767740249634,
0.03095119632780552,
-0.06375212967395782,
-0.04662611708045006,
0.033614177256822586,
0.03179633244872093,
0.03240228071808815,
-0.0383341945707798,
0.035113103687763214,
-0.013386671431362629,
0.00201716972514987,
0.005561169236898422,
0.009352331981062889,
-0.06926944851875305,
0.014478972181677818,
0.010707742534577847,
0.028224429115653038,
-0.020937103778123856,
-0.002076967153698206,
0.026071717962622643,
0.05182451754808426,
0.003440350526943803,
0.04021582379937172,
-0.0368671640753746,
-0.04515908658504486,
0.05622561275959015,
0.04200177639722824,
-0.04525476321578026,
0.029340649023652077,
0.030999034643173218,
-0.041172586381435394,
0.04321367293596268,
0.003595824120566249,
-0.06888674199581146,
-0.004879477433860302,
-0.020681967958807945,
0.024780092760920525,
-0.04653044417500496,
-0.03064822219312191,
-0.05664021149277687,
-0.0488266684114933,
-0.0781354233622551,
0.03654824197292328,
0.024317657575011253,
-0.04656233638525009,
-0.013259103521704674,
-0.030393086373806,
-0.07060891389846802,
0.04630719870328903,
-0.004042312502861023,
-0.028702808544039726,
-0.03591040521860123,
-0.018337905406951904,
0.0421612374484539,
-0.023488465696573257,
-0.0461796298623085,
0.014327485114336014,
0.021798189729452133,
0.06005265563726425,
0.034220125526189804,
-0.021016834303736687,
-0.03696284070611,
-0.0032270727679133415,
0.03858933225274086,
-0.008188273757696152,
0.037409327924251556,
-0.015985870733857155,
0.023998737335205078,
0.006549821700900793,
0.018306013196706772,
-0.033582285046577454,
-0.04050285369157791,
-0.056321289390325546,
0.010588147677481174,
0.059701841324567795,
-0.027905508875846863,
0.006346509791910648,
0.00260318536311388,
0.0007938120397739112,
0.04464881494641304,
0.001464042579755187,
0.0039027847815304995,
-0.01797114685177803,
-0.019916560500860214,
-0.05121856927871704,
0.018975745886564255,
0.006741173565387726,
0.03811095282435417,
0.00042605731869116426,
-0.05045315995812416,
0.057692646980285645,
-0.05287695303559303,
0.00930449366569519,
0.043947190046310425,
-0.01325113046914339,
-0.02690090984106064,
-0.011967476457357407,
-0.01672735996544361,
-0.038525547832250595,
-0.0033725800458341837,
-0.00009125350334215909,
-0.03319958224892616,
-0.019868722185492516,
0.015356003306806087,
-0.0383341945707798,
-0.045988280326128006,
-0.0016145330155268312,
-0.018593041226267815,
0.03619743138551712,
-0.026135502383112907,
0.021654674783349037,
-0.030361194163560867,
-0.010165578685700893,
-0.026231179013848305,
0.04981531947851181,
0.013131535612046719,
0.021335754543542862,
-0.029229028150439262,
0.011983422562479973,
0.016456278041005135,
-0.07131053507328033,
-0.0038948117289692163,
-0.06729213893413544,
-0.013849105685949326,
0.01685492694377899,
0.002330109942704439,
-0.015061002224683762,
-0.014542756602168083,
0.012884371913969517,
-0.02950011007487774,
-0.004767855629324913,
-0.015244380570948124,
-0.024174144491553307,
-0.018066823482513428,
-0.025960097089409828,
-0.03265741840004921,
-0.0035121075343340635,
-0.020474670454859734,
0.01033301092684269,
0.03473040089011192,
0.004022379871457815,
-0.006828876677900553,
0.008164354600012302,
0.022850625216960907,
-0.008435436524450779,
0.051633164286613464,
0.05791588872671127,
-0.002202542033046484,
-0.010667877271771431,
-0.07086404412984848,
-0.03858933225274086,
-0.04047096148133278,
0.010022063739597797,
-0.031397685408592224,
-0.007805569563060999,
0.015818437561392784,
0.07673217356204987,
0.00879422202706337,
0.08011273294687271,
-0.023153599351644516,
-0.020841429010033607,
0.0356871597468853,
-0.029898758977651596,
0.00005711908670491539,
0.02766631916165352,
0.01998034492135048,
-0.044329892843961716,
0.02433360368013382,
-0.025768743827939034,
-0.052653707563877106,
0.013960727490484715,
0.028878215700387955,
-0.02970740757882595,
-0.03603797033429146,
-0.028527403250336647,
-0.04145961254835129,
-0.025641176849603653,
-0.0635288879275322,
-0.019198989495635033,
0.005357857793569565,
-0.026709558442234993,
-0.018832232803106308,
-0.026103610172867775,
-0.03457093983888626,
0.036261215806007385,
-0.04965585842728615,
0.0330401211977005,
0.00016842967306729406,
0.011983422562479973,
-0.018593041226267815,
-0.006131238769739866,
-0.015276272781193256,
-0.016918711364269257,
-0.03571905195713043,
-0.014526810497045517,
0.009232737123966217,
0.014263701625168324,
-0.004915356170386076,
0.04346881061792374,
-0.012924237176775932,
0.01942223496735096,
-0.008339760825037956,
-0.013769375160336494,
-0.021016834303736687,
0.0008526129531674087,
-0.030488761141896248,
0.03214714676141739,
-0.01378532126545906,
0.012908291071653366,
0.027124155312776566,
-0.009758954867720604,
-0.005317992530763149,
0.00958354864269495,
-0.008738410659134388,
0.04123637080192566,
-0.02914929762482643,
0.006773065775632858,
0.01118612289428711,
0.02074575237929821,
-0.023376842960715294,
0.030201733112335205,
-0.022770894691348076,
-0.01929466612637043,
-0.0017879458609968424,
-0.011154230684041977,
0.006414280738681555,
0.049751535058021545,
-0.03278498724102974,
-0.006984350271522999,
0.02723577618598938,
-0.02458873949944973,
0.027969293296337128,
0.016934657469391823,
0.012095045298337936,
0.0007021225173957646,
-0.020634129643440247,
0.024381441995501518,
-0.025800636038184166,
0.004967180546373129,
-0.029787138104438782,
-0.03520878031849861,
-0.008475301787257195,
-0.022212784737348557,
-0.031014980748295784,
0.03785581514239311,
-0.00003628338890848681,
-0.01738114468753338,
0.021846026182174683,
-0.0022862583864480257,
-0.02356819622218609,
-0.020984942093491554,
-0.026916855946183205,
0.012286396697163582,
-0.06458131968975067,
-0.03632500022649765,
0.014455053955316544,
0.01792331039905548,
0.004476841073483229,
0.043532595038414,
-0.019709262996912003,
-0.017779795452952385,
0.024859821423888206,
0.03699473291635513,
0.000530702993273735,
-0.004273529164493084,
0.022228730842471123,
0.001013567904010415,
0.031397685408592224,
-0.014694243669509888,
-0.03329525887966156,
0.015021136961877346,
-0.004935288801789284,
-0.017955202609300613,
-0.01258937083184719,
0.07169324159622192,
-0.008188273757696152,
-0.010819364339113235,
-0.046466659754514694,
-0.043532595038414,
0.018210338428616524,
-0.03268931061029434,
-0.000055966738727875054,
-0.017572497949004173,
-0.000578042701818049,
0.061998069286346436,
-0.016870873048901558,
0.006031576544046402,
0.01608951948583126,
-0.012493695132434368,
-0.004209745209664106,
0.017604390159249306,
-0.018688717857003212,
0.008228139020502567,
0.07934731990098953,
-0.00042854889761656523,
0.015690868720412254,
0.0344114787876606,
0.025162795558571815,
0.01685492694377899,
0.01840168982744217,
-0.007733812555670738,
0.044935841113328934,
0.02889416180551052,
0.01592208631336689,
-0.036643918603658676,
0.04694503918290138,
0.026135502383112907,
-0.043436918407678604,
-0.0002698363095987588,
0.03453904762864113,
-0.008076651953160763,
-0.01682303473353386,
0.03894014284014702,
0.005561169236898422,
0.012023287825286388,
-0.011584772728383541,
-0.011305717751383781,
0.05310019850730896,
-0.025067120790481567,
-0.008136449381709099,
0.004074204247444868,
-0.07226729393005371,
0.04439367726445198,
-0.004983126651495695,
0.0017789761768653989,
-0.017875472083687782,
-0.01972520910203457,
0.05852183699607849,
-0.003655621549114585,
-0.06601645797491074,
0.00829989556223154,
0.037760138511657715,
0.02741118334233761,
-0.015651004388928413,
0.020347101613879204,
-0.005046910606324673,
-0.017046280205249786,
-0.0008351720171049237,
0.030233625322580338,
-0.001694263075478375,
0.051282353699207306,
0.03610175475478172,
-0.013777348212897778,
-0.053897496312856674,
0.01043666061013937,
-0.019868722185492516,
-0.036771487444639206,
0.0258325282484293,
0.02023548074066639,
0.04930504783987999,
-0.014335458166897297,
0.0011620650766417384,
-0.05105910822749138,
0.041300151497125626,
0.02100088819861412,
-0.006505969911813736,
-0.036612026393413544,
0.020841429010033607,
-0.011688421480357647,
0.015100866556167603,
-0.0022085215896368027,
0.052143435925245285,
0.043532595038414,
0.04184231907129288,
0.04675368592143059,
-0.027379291132092476,
-0.0067172544077038765,
-0.02621523290872574,
-0.018465474247932434,
0.001689279917627573,
-0.02728361450135708,
-0.032163091003894806,
-0.009081250056624413,
-0.025593338534235954,
-0.0072673917748034,
-0.012429910711944103,
0.02501928247511387,
-0.008419490419328213,
0.025545500218868256,
0.020554400980472565,
-0.033614177256822586,
-0.007937123998999596,
0.0018048884812742472,
0.011058554984629154,
-0.0050309645012021065,
0.05915967747569084,
-0.03795149177312851,
0.011345583014190197,
-0.02125602401793003,
-0.028910107910633087,
-0.04238448292016983,
0.005513331387192011,
-0.058840759098529816,
-0.03642067685723305,
-0.022595489397644997,
-0.027012532576918602,
-0.040152039378881454,
-0.01566695049405098,
-0.06518726795911789,
-0.0085789505392313,
0.03262552618980408,
0.03667581081390381,
0.019406288862228394,
0.03479418158531189,
-0.02530631050467491,
0.038525547832250595,
0.06257212162017822,
-0.018449528142809868,
0.00012881381553597748,
0.01656789891421795,
0.03154119849205017,
0.0118638277053833,
0.025162795558571815,
-0.015395867638289928,
0.026310907676815987,
-0.00044399657053872943,
-0.023376842960715294,
-0.019661424681544304,
-0.048252612352371216,
-0.0382385216653347,
-0.022547651082277298,
-0.01099477056413889,
0.003819068195298314,
0.02586442045867443,
0.002967950189486146,
-0.03056849166750908,
-0.03492175042629242,
-0.05217532813549042,
-0.037887707352638245,
-0.010293146595358849,
0.06419861316680908,
-0.016456278041005135,
-0.019310612231492996,
0.0049193426966667175,
-0.028654970228672028,
0.3008054494857788,
0.06212563440203667,
0.024875767529010773,
0.0037772099021822214,
0.026438476517796516,
0.047614771872758865,
0.021925756707787514,
-0.01244585681706667,
0.012214640155434608,
0.006011643912643194,
-0.0051864380948245525,
-0.024046575650572777,
-0.015826409682631493,
-0.015124785713851452,
0.026964694261550903,
0.022611435502767563,
-0.011449231766164303,
0.039035819470882416,
-0.006749146617949009,
-0.03214714676141739,
-0.03973744437098503,
0.021447377279400826,
-0.018449528142809868,
-0.020968995988368988,
0.025720905512571335,
-0.014766001142561436,
0.022388191893696785,
-0.015212489292025566,
-0.015682896599173546,
-0.028957944363355637,
-0.005086775403469801,
0.0051346137188375,
-0.0031971740536391735,
-0.007331175729632378,
0.002350042574107647,
0.019757099449634552,
0.01903953030705452,
0.006151171401143074,
-0.009695171378552914,
-0.06269969046115875,
0.012366127222776413,
0.007327189203351736,
-0.01060409378260374,
0.0008401551167480648,
-0.004317380953580141,
0.0461796298623085,
-0.030680114403367043,
0.04050285369157791,
0.07162945717573166,
-0.03192390128970146,
0.027857670560479164,
0.014997217804193497,
0.06741970777511597,
-0.018003039062023163,
0.0010180528042837977,
0.008220165967941284,
0.02996254339814186,
-0.0035280536394566298,
-0.02275494858622551,
0.01998034492135048,
0.017731957137584686,
0.0014391269069164991,
0.010014091618359089,
0.015491544269025326,
-0.016360601410269737,
0.00380910187959671,
0.03009011223912239,
0.02270711213350296,
-0.05775643140077591,
0.03581472858786583,
-0.0033765665721148252,
0.01758844405412674,
-0.045063409954309464,
0.0019025576766580343,
0.03495364263653755,
-0.002655009739100933,
-0.023552250117063522,
0.03501742705702782,
0.014287620782852173,
-0.04758287966251373,
0.013697618618607521,
0.013195319101214409,
0.020953049883246422,
-0.011489097028970718,
0.019788991659879684,
0.010205443017184734,
-0.012485722079873085,
0.004879477433860302,
-0.04940072447061539,
0.023631978780031204,
0.014829784631729126,
-0.003986501134932041,
0.0224998127669096,
-0.028607133775949478,
0.008435436524450779
] |
1208_10 | Alexander wrote of Turing's contribution:
Turingery
In July 1942, Turing devised a technique termed Turingery (or jokingly Turingismus) for use against the Lorenz cipher messages produced by the Germans' new Geheimschreiber (secret writer) machine. This was a teleprinter rotor cipher attachment codenamed Tunny at Bletchley Park. Turingery was a method of wheel-breaking, i.e., a procedure for working out the cam settings of Tunny's wheels. He also introduced the Tunny team to Tommy Flowers who, under the guidance of Max Newman, went on to build the Colossus computer, the world's first programmable digital electronic computer, which replaced a simpler prior machine (the Heath Robinson), and whose superior speed allowed the statistical decryption techniques to be applied usefully to the messages. Some have mistakenly said that Turing was a key figure in the design of the Colossus computer. Turingery and the statistical approach of Banburismus undoubtedly fed into the thinking about cryptanalysis of the Lorenz cipher, but he was not directly involved in the Colossus development.
Delilah
Following his work at Bell Labs in the US, Turing pursued the idea of electronic enciphering of speech in the telephone system. In the latter part of the war, he moved to work for the Secret Service's Radio Security Service (later HMGCC) at Hanslope Park. At the park, he further developed his knowledge of electronics with the assistance of engineer Donald Bayley. Together they undertook the design and construction of a portable secure voice communications machine codenamed Delilah. The machine was intended for different applications, but it lacked the capability for use with long-distance radio transmissions. In any case, Delilah was completed too late to be used during the war. Though the system worked fully, with Turing demonstrating it to officials by encrypting and decrypting a recording of a Winston Churchill speech, Delilah was not adopted for use. Turing also consulted with Bell Labs on the development of SIGSALY, a secure voice system that was used in the later years of the war.
Early computers and the Turing test | [
0.04175776243209839,
-0.0019174680346623063,
0.01632915437221527,
0.004958733916282654,
-0.03867267072200775,
-0.03717687353491783,
-0.02542860619723797,
-0.02114376239478588,
-0.005356056150048971,
0.01886889897286892,
-0.004834083840250969,
-0.010268046520650387,
-0.017513329163193703,
-0.04225636273622513,
-0.031754594296216965,
-0.04135264828801155,
0.004674375988543034,
-0.02706463821232319,
-0.03406061977148056,
0.005371637176722288,
0.05272696539759636,
0.015300791710615158,
-0.04316007345914841,
-0.018183322623372078,
-0.03851686045527458,
0.03914010897278786,
0.017466586083173752,
-0.025927206501364708,
0.05864784121513367,
0.04876932501792908,
0.03667827323079109,
0.04914327710866928,
0.022281194105744362,
-0.048426538705825806,
0.00878782756626606,
-0.05104418843984604,
0.03764430806040764,
-0.04686841368675232,
-0.0015844188164919615,
-0.053194399923086166,
0.005137918516993523,
-0.002621545922011137,
-0.001822032849304378,
-0.018136579543352127,
-0.05880365148186684,
-0.011623615399003029,
0.028576020151376724,
-0.0015639683697372675,
-0.0033636032603681087,
-0.01757565513253212,
0.01851052977144718,
0.011273037642240524,
0.03698989748954773,
-0.009278636425733566,
0.007958125323057175,
-0.04275495931506157,
0.015487766824662685,
0.016656359657645226,
-0.0317857600748539,
-0.04107218608260155,
0.007517955265939236,
0.02229677513241768,
-0.005815702956169844,
-0.04593353718519211,
0.0185728557407856,
-0.011078272014856339,
0.022109799087047577,
-0.0009149117395281792,
-0.03337504714727402,
-0.044655874371528625,
-0.009691540151834488,
-0.00018636640743352473,
0.01960121840238571,
-0.04646329954266548,
-0.009403286501765251,
-0.006084479857236147,
0.002851369557902217,
-0.003975167404860258,
-0.0481460765004158,
0.04319123551249504,
-0.006092270370572805,
0.021112598478794098,
-0.006115642376244068,
-0.002750091254711151,
-0.010618624277412891,
-0.03108460269868374,
0.0744783952832222,
0.04362751170992851,
0.007463420741260052,
-0.036273159086704254,
0.02572465129196644,
0.0027052953373640776,
0.003297382965683937,
0.04132148623466492,
0.03349969536066055,
-0.01957005448639393,
-0.020442605018615723,
0.020084235817193985,
-0.002925380365923047,
-0.005819598212838173,
0.017793791368603706,
0.04655678570270538,
-0.02159561775624752,
0.0636650025844574,
0.0069258674047887325,
0.011249665170907974,
-0.021408643573522568,
0.0012465002946555614,
0.009644796140491962,
0.027189288288354874,
0.002455995185300708,
0.0008973828516900539,
-0.009598052129149437,
0.007588070817291737,
0.0045847841538488865,
0.024836519733071327,
0.004292635712772608,
0.004436762072145939,
-0.038111746311187744,
0.020427023991942406,
-0.026425806805491447,
-0.004526354372501373,
-0.0026332319248467684,
0.04147729650139809,
-0.00775556918233633,
-0.0185728557407856,
-0.02397955022752285,
0.0012357882224023342,
0.015573463402688503,
-0.02397955022752285,
0.0016447961097583175,
0.006731101777404547,
-0.021065855398774147,
0.000867194146849215,
0.014903469942510128,
0.02572465129196644,
0.014887887984514236,
0.044468898326158524,
-0.009379914961755276,
-0.01176384650170803,
-0.0003121119807474315,
-0.0001511868613306433,
0.0037102862261235714,
0.07329422235488892,
0.015955204144120216,
0.012418259866535664,
-0.02799951285123825,
0.04157078638672829,
-0.030959952622652054,
0.020427023991942406,
-0.006353256292641163,
-0.017435424029827118,
-0.019336335361003876,
0.03349969536066055,
0.01470091287046671,
-0.01668752357363701,
-0.03767547383904457,
-0.011288618668913841,
0.0050093731842935085,
0.04895630106329918,
-0.051355812698602676,
0.05029628798365593,
0.025600001215934753,
0.034029457718133926,
0.020317954942584038,
0.017045892775058746,
-0.03533828258514404,
-0.006586974952369928,
0.01196640357375145,
0.006228606216609478,
-0.004974315408617258,
0.00396348163485527,
-0.005056116729974747,
0.02164236269891262,
0.04085404798388481,
0.04861351102590561,
0.01837029866874218,
-0.00017468046280555427,
0.009637005627155304,
-0.04474936053156853,
-0.020910043269395828,
-0.02720486931502819,
0.03167669102549553,
0.005067802965641022,
-0.013859525322914124,
-0.006310408003628254,
0.02779695764183998,
0.031146926805377007,
0.00026682898169383407,
-0.00003767498492379673,
0.016952404752373695,
0.026238832622766495,
-0.05487717688083649,
0.0017460742965340614,
-0.007268655113875866,
0.032097384333610535,
-0.024041874334216118,
0.009520146064460278,
-0.013345343992114067,
-0.010143396444618702,
-0.018183322623372078,
0.039046622812747955,
0.01911819912493229,
0.0012396834790706635,
-0.03898429870605469,
-0.04727352410554886,
0.030196471139788628,
0.05824272707104683,
-0.02243700623512268,
0.0072219111025333405,
0.013789409771561623,
0.018884479999542236,
-0.010190140455961227,
-0.009239683859050274,
0.0015532562974840403,
0.014513937756419182,
-0.045902375131845474,
-0.00846062134951353,
-0.0038641509599983692,
0.06042410433292389,
-0.0007293974631465971,
0.04730468615889549,
-0.005718320142477751,
0.007985392585396767,
-0.026784176006913185,
-0.002358612371608615,
-0.01479440089315176,
0.0694923922419548,
-0.01268314104527235,
0.06291710585355759,
0.011678149923682213,
0.05450322851538658,
-0.02829555794596672,
0.03624199703335762,
0.017404260113835335,
0.000002057973233604571,
-0.020567255094647408,
0.017451005056500435,
-0.055780891329050064,
0.003127936739474535,
-0.027423007413744926,
-0.007806208450347185,
0.02279537543654442,
0.02765672653913498,
0.04484285041689873,
0.03789360821247101,
-0.001600000075995922,
0.00035861230571754277,
-0.005827389191836119,
-0.010384906083345413,
-0.04082288593053818,
0.060392942279577255,
-0.040230799466371536,
-0.025459768250584602,
-0.04870700091123581,
0.005469019990414381,
0.024649543687701225,
0.020395861938595772,
0.02059841714799404,
-0.07522629201412201,
-0.015363116748631,
0.0305392574518919,
0.0008116859244182706,
-0.0119430311024189,
0.006115642376244068,
0.020878881216049194,
0.023870481178164482,
0.012550700455904007,
-0.050015825778245926,
0.0010400486644357443,
-0.05263347551226616,
-0.07859184592962265,
-0.074665367603302,
0.012480584904551506,
-0.013734875246882439,
-0.02626999467611313,
-0.015534509904682636,
-0.04880048707127571,
0.04914327710866928,
-0.06182641535997391,
0.00211125984787941,
-0.023917224258184433,
-0.012955812737345695,
0.03156762197613716,
0.03907778486609459,
-0.02756323851644993,
-0.042131710797548294,
-0.014015338383615017,
-0.01047839317470789,
0.025490932166576385,
0.010034327395260334,
-0.02070748619735241,
-0.03228435665369034,
0.0002536822867114097,
0.021034693345427513,
-0.010470602661371231,
0.039794523268938065,
0.013321972452104092,
-0.026051856577396393,
-0.010057699866592884,
-0.02497675083577633,
0.0032603773288428783,
-0.007494583260267973,
-0.010096652433276176,
0.015152769163250923,
0.008413877338171005,
0.01502032857388258,
-0.04125916212797165,
0.03923359885811806,
0.044562388211488724,
-0.033686671406030655,
0.016765428707003593,
-0.008772245608270168,
-0.02799951285123825,
-0.05805575102567673,
0.074665367603302,
0.026379063725471497,
0.013571272604167461,
-0.016360316425561905,
-0.04425076022744179,
-0.008265855722129345,
0.028731832280755043,
-0.020987948402762413,
0.00775556918233633,
0.00018259281932841986,
0.04409494996070862,
-0.03814290836453438,
-0.05172976478934288,
0.042973097413778305,
0.0005862446851097047,
-0.019180523231625557,
0.045559585094451904,
-0.023699088022112846,
0.028529277071356773,
-0.012176750227808952,
-0.018401460722088814,
0.012870116159319878,
0.015674741938710213,
-0.016500547528266907,
-0.0198660995811224,
-0.01692124269902706,
-0.005702739115804434,
0.007930858060717583,
0.0478656142950058,
-0.02620766870677471,
0.01603311114013195,
0.03325039520859718,
-0.017513329163193703,
-0.04621399939060211,
-0.030102983117103577,
0.03727035969495773,
0.03873499855399132,
-0.002713085850700736,
-0.010377115570008755,
0.0017402312951162457,
0.08014997094869614,
-0.00901375524699688,
-0.014186731539666653,
-0.017700305208563805,
0.014825562946498394,
0.018105417490005493,
0.0016185027780011296,
0.009294218383729458,
0.025584418326616287,
-0.058710165321826935,
-0.016547292470932007,
-0.04462471231818199,
0.017357517033815384,
0.03127157688140869,
-0.011592453345656395,
0.0006081557949073613,
-0.02909020148217678,
-0.04646329954266548,
0.0375196598470211,
-0.029916007071733475,
-0.008818989619612694,
0.02890322543680668,
-0.023309556767344475,
0.04936141148209572,
-0.02075423114001751,
0.008507364429533482,
0.02034911699593067,
-0.005445648450404406,
0.0034609860740602016,
-0.029277175664901733,
-0.0048262933269143105,
0.01787169836461544,
0.017637979239225388,
0.00803992711007595,
0.024914424866437912,
-0.02577139437198639,
0.002979914890602231,
-0.02785928174853325,
-0.019445404410362244,
-0.004888618364930153,
-0.04135264828801155,
0.08507364988327026,
0.009613634087145329,
0.023200487717986107,
0.014529519714415073,
0.04945490136742592,
0.015682531520724297,
-0.013812781311571598,
0.05986317619681358,
-0.027438588440418243,
0.011530128307640553,
-0.04864467680454254,
0.05391113832592964,
0.00047595862997695804,
-0.014217894524335861,
0.0009387705358676612,
-0.026799757033586502,
0.021735848858952522,
-0.0023566647432744503,
0.03162994608283043,
-0.026877664029598236,
-0.04680608585476875,
-0.008211321197450161,
0.010618624277412891,
-0.007985392585396767,
-0.057463664561510086,
-0.02041144296526909,
-0.02066074311733246,
0.03808058425784111,
0.019087037071585655,
-0.015970785170793533,
0.005952039267867804,
-0.03608618304133415,
-0.017451005056500435,
0.007132319267839193,
0.07080122083425522,
-0.023512111976742744,
-0.011841753497719765,
-0.033094584941864014,
-0.046650275588035583,
0.022172125056385994,
0.021673524752259254,
0.03424759581685066,
0.0047834450379014015,
-0.0691184401512146,
0.00038222764851525426,
0.027142545208334923,
-0.030944369733333588,
-0.025054655969142914,
0.005274254363030195,
0.013142787851393223,
0.0505455881357193,
0.04312891140580177,
-0.011311990208923817,
-0.030757395550608635,
0.0013877054443582892,
-0.05356835201382637,
0.0035525260027498007,
-0.05546926334500313,
0.03306342288851738,
-0.016469385474920273,
0.02268630638718605,
0.005710529629141092,
0.005204138811677694,
0.0032740109600126743,
-0.0344657339155674,
-0.009270845912396908,
0.059395741671323776,
-0.0424121730029583,
-0.02656603790819645,
0.038548022508621216,
0.058118078857660294,
-0.01762239821255207,
-0.008530736900866032,
0.032845284789800644,
-0.015137188136577606,
-0.003731710370630026,
-0.014186731539666653,
-0.030009495094418526,
0.020691905170679092,
-0.026534875854849815,
0.013360925018787384,
-0.045497260987758636,
-0.012488375417888165,
-0.03948289901018143,
-0.025210469961166382,
0.029853682965040207,
0.028622763231396675,
-0.00165356055367738,
0.010587462224066257,
-0.04166427254676819,
-0.00975386518985033,
0.0037278151139616966,
0.009091661311686039,
0.0062363967299461365,
-0.009777236729860306,
0.05391113832592964,
-0.006057212594896555,
-0.0053054168820381165,
-0.013797200284898281,
0.025927206501364708,
-0.04300425946712494,
-0.05278928950428963,
0.03396713361144066,
0.04718003794550896,
-0.002119050594046712,
-0.014607425779104233,
0.042381010949611664,
0.019741449505090714,
-0.016703104600310326,
-0.017186123877763748,
-0.008717712014913559,
-0.05291393771767616,
-0.018728667870163918,
0.027438588440418243,
-0.00828922726213932,
-0.012877906672656536,
-0.0011452222242951393,
0.010057699866592884,
0.0694923922419548,
0.008187948726117611,
0.027890445664525032,
-0.02134631760418415,
-0.037363845854997635,
0.047585148364305496,
0.05132465064525604,
-0.046400975435972214,
0.009870724752545357,
0.04353402554988861,
-0.01664077863097191,
0.02616092562675476,
0.04076056182384491,
-0.055531591176986694,
0.005987097043544054,
-0.013532319106161594,
0.011163968592882156,
-0.043471697717905045,
-0.027236031368374825,
-0.023963969200849533,
-0.03658478334546089,
-0.06438174098730087,
-0.0015737066278234124,
0.004526354372501373,
-0.04216287285089493,
-0.06512964516878128,
-0.04596469923853874,
-0.04727352410554886,
0.014467194676399231,
0.01504370104521513,
-0.03533828258514404,
-0.02711138129234314,
-0.021985149011015892,
0.0612654909491539,
-0.012130006216466427,
-0.038548022508621216,
-0.0187130868434906,
0.006470115855336189,
0.014880097471177578,
0.06444406509399414,
-0.01008107140660286,
-0.029105782508850098,
-0.002656603930518031,
0.047678638249635696,
0.005165185779333115,
0.043222397565841675,
-0.004795130807906389,
0.00843724887818098,
0.002189166145399213,
-0.02025563083589077,
-0.05481485277414322,
-0.007144005037844181,
-0.04587121307849884,
0.022265611216425896,
0.06562824547290802,
-0.04686841368675232,
0.0043199025094509125,
0.009068289771676064,
0.008522946387529373,
0.03689641132950783,
-0.006879123859107494,
-0.008896895684301853,
-0.020629581063985825,
-0.01798076741397381,
-0.03540061041712761,
0.012792209163308144,
0.01639147847890854,
0.011888496577739716,
0.015947412699460983,
-0.02899671345949173,
0.047740962356328964,
-0.06974169611930847,
-0.010088861919939518,
0.07186074554920197,
-0.0316922701895237,
-0.020021911710500717,
-0.05014047399163246,
-0.014467194676399231,
-0.003944004885852337,
-0.013072672300040722,
-0.002865003189072013,
-0.023153742775321007,
-0.037613146007061005,
-0.01226244680583477,
-0.012480584904551506,
-0.04714887589216232,
0.0020625684410333633,
-0.006107851397246122,
0.051854413002729416,
-0.030570421367883682,
0.020691905170679092,
-0.03555642068386078,
-0.0320662222802639,
-0.024197688326239586,
0.035618748515844345,
-0.009675959125161171,
0.00211125984787941,
-0.011841753497719765,
0.0238860622048378,
0.004152404144406319,
-0.04939257353544235,
-0.014217894524335861,
-0.09049592167139053,
-0.040199633687734604,
0.03490201011300087,
-0.010447231121361256,
-0.007323189172893763,
0.022608399391174316,
0.008959220722317696,
-0.001946682925336063,
-0.004514668136835098,
-0.011841753497719765,
-0.02799951285123825,
-0.004195252433419228,
-0.048582348972558975,
-0.008670968003571033,
-0.006353256292641163,
0.030025076121091843,
-0.030648326501250267,
0.051760926842689514,
0.0012377358507364988,
-0.02020888589322567,
0.02636348269879818,
0.002824102295562625,
-0.02552209421992302,
0.057463664561510086,
0.08413877338171005,
-0.009878515265882015,
-0.0029234327375888824,
-0.07865417003631592,
-0.02447815053164959,
-0.016843335703015327,
-0.019492149353027344,
-0.023371880874037743,
-0.023309556767344475,
0.01598636619746685,
0.06110967695713043,
-0.006766159553080797,
0.0587724894285202,
-0.050015825778245926,
-0.037114545702934265,
0.05659111589193344,
-0.013469994068145752,
-0.0264725498855114,
0.012480584904551506,
0.01218454074114561,
-0.025958368554711342,
0.006392209324985743,
-0.025880463421344757,
-0.027438588440418243,
0.019772611558437347,
0.04696189984679222,
-0.02249933034181595,
-0.008904687128961086,
-0.021361898630857468,
-0.04721119999885559,
-0.03256482258439064,
-0.046089351177215576,
-0.015004747547209263,
-0.01941424235701561,
-0.051916737109422684,
0.011078272014856339,
0.0032818017061799765,
-0.04094753414392471,
0.04185124859213829,
-0.05983201414346695,
0.03898429870605469,
0.008055508136749268,
0.023808157071471214,
-0.020193304866552353,
0.0027754108887165785,
0.018744248896837234,
0.008086671121418476,
-0.030352283269166946,
-0.018900061026215553,
0.004569202661514282,
-0.02080097422003746,
-0.008632014505565166,
0.06693706661462784,
-0.019772611558437347,
-0.017014728859066963,
-0.02377699315547943,
0.013166159391403198,
-0.0025825928896665573,
0.030009495094418526,
-0.030492514371871948,
0.0266595259308815,
0.00496262963861227,
0.005301521625369787,
0.03780012205243111,
-0.015363116748631,
-0.004896408878266811,
-0.013244066387414932,
-0.005788435693830252,
0.03568107262253761,
-0.016048692166805267,
0.030663907527923584,
0.012402677908539772,
0.03926476091146469,
-0.03789360821247101,
-0.010291418060660362,
-0.011421059258282185,
-0.00443286681547761,
0.001667194184847176,
0.007864638231694698,
0.036273159086704254,
0.027173707261681557,
0.00846062134951353,
-0.02109701745212078,
0.0450921505689621,
-0.01347778458148241,
0.01573706604540348,
0.0010546561097726226,
-0.0063026174902915955,
-0.013742665760219097,
-0.004958733916282654,
0.01179500948637724,
-0.03689641132950783,
-0.0347461961209774,
-0.015768229961395264,
-0.026534875854849815,
-0.005418381188064814,
-0.014319172129034996,
-0.04147729650139809,
0.01687449775636196,
-0.012542909942567348,
-0.029729032889008522,
0.04378332570195198,
-0.02745416946709156,
-0.001312720705755055,
-0.018744248896837234,
-0.04562191292643547,
0.01664077863097191,
-0.06061107665300369,
-0.039950333535671234,
0.01791844144463539,
0.0347461961209774,
0.020629581063985825,
0.046089351177215576,
-0.012644187547266483,
0.008164577186107635,
0.007572489324957132,
0.05899062752723694,
0.019242849200963974,
0.009309799410402775,
0.018744248896837234,
0.004518563859164715,
-0.011226293630897999,
-0.01286232564598322,
-0.04661911353468895,
0.012278027832508087,
0.012301400303840637,
-0.004148508887737989,
0.03043018840253353,
0.06204455345869064,
-0.004978210665285587,
-0.009021545760333538,
-0.060143642127513885,
-0.029729032889008522,
0.04739817604422569,
-0.024306755512952805,
-0.007455630227923393,
0.0013945222599431872,
-0.01526962872594595,
0.04945490136742592,
-0.006797322072088718,
0.008546317927539349,
0.020878881216049194,
-0.00966037716716528,
0.010805599391460419,
0.012994766235351562,
0.018339136615395546,
0.0034025562927126884,
0.06849519163370132,
0.0045029823668301105,
0.023216068744659424,
0.011382105760276318,
0.022312356159090996,
0.017902860417962074,
0.0034493000712245703,
-0.038953136652708054,
0.009699330665171146,
-0.005539136007428169,
0.01732635498046875,
-0.023418623954057693,
0.04683724790811539,
0.03702105954289436,
-0.0478656142950058,
0.015947412699460983,
0.014319172129034996,
-0.01961679942905903,
-0.030757395550608635,
0.050015825778245926,
0.012020937167108059,
0.010540718212723732,
0.00846841186285019,
-0.010127815417945385,
0.05615483969449997,
-0.018058672547340393,
-0.028389044106006622,
0.014101034961640835,
-0.07105051726102829,
0.04122799634933472,
0.011366524733603,
-0.018183322623372078,
-0.02581813745200634,
-0.033188071101903915,
0.051605112850666046,
0.008133414201438427,
-0.02363676205277443,
-0.0005219720187596977,
0.061296653002500534,
0.0401061475276947,
0.023216068744659424,
-0.017061473801732063,
0.01144443079829216,
-0.005659890361130238,
-0.01470091287046671,
0.03387364745140076,
0.02706463821232319,
0.05060791224241257,
0.0671863704919815,
-0.017544491216540337,
-0.043315887451171875,
0.02620766870677471,
0.005679367110133171,
-0.0775323212146759,
-0.006131223402917385,
0.022468168288469315,
0.04655678570270538,
-0.005963725037872791,
-0.0006052343524061143,
-0.022172125056385994,
0.03789360821247101,
0.022733049467206,
0.007338770665228367,
-0.008795618079602718,
-0.0029234327375888824,
-0.028716251254081726,
0.03549409657716751,
-0.0010955568868666887,
0.02413536235690117,
0.020427023991942406,
0.023621181026101112,
0.011779428459703922,
0.01846378669142723,
0.012955812737345695,
-0.0035681072622537613,
-0.030913207679986954,
-0.017684724181890488,
0.01961679942905903,
-0.028529277071356773,
0.024696286767721176,
-0.028731832280755043,
-0.008063298650085926,
-0.026768594980239868,
0.012106634676456451,
-0.009855142794549465,
0.03574339672923088,
-0.04082288593053818,
-0.004273158963769674,
0.018884479999542236,
0.006571393925696611,
-0.009964211843907833,
-0.0018376141088083386,
0.07073889672756195,
-0.010042117908596992,
0.005134023260325193,
-0.04683724790811539,
-0.03748849779367447,
-0.04266147315502167,
0.0022086426615715027,
-0.038205236196517944,
-0.019133780151605606,
0.02327839285135269,
-0.03758198395371437,
-0.058211565017700195,
-0.020863298326730728,
-0.03158320114016533,
-0.005340474657714367,
0.057962264865636826,
-0.023808157071471214,
0.034590382128953934,
0.034777358174324036,
0.00047839319449849427,
0.008850152604281902,
0.0532255619764328,
0.00020961655536666512,
-0.0002377358468947932,
0.01703030988574028,
-0.0029097991064190865,
0.026597199961543083,
0.012948022224009037,
-0.03832988440990448,
0.032346684485673904,
0.001393548445776105,
-0.015308582223951817,
-0.04636981338262558,
-0.06955471634864807,
-0.036210834980010986,
-0.03767547383904457,
-0.0013984175166115165,
0.015581253916025162,
0.05649762600660324,
-0.017747048288583755,
-0.06382081657648087,
-0.03966987133026123,
-0.04194473475217819,
-0.016001947224140167,
-0.014732075855135918,
0.0477721244096756,
0.016173342242836952,
0.011514546349644661,
0.010096652433276176,
-0.03153645992279053,
0.28744298219680786,
0.07373049110174179,
0.006450639106333256,
0.05381765216588974,
0.01687449775636196,
0.06073572859168053,
0.047990262508392334,
-0.007950334809720516,
0.0133063904941082,
-0.005172976292669773,
0.008608642965555191,
-0.007237492594867945,
-0.02309141866862774,
0.019227268174290657,
-0.0019281802233308554,
0.021330736577510834,
-0.017186123877763748,
0.014521729201078415,
-0.03798709809780121,
-0.06086037680506706,
-0.049080949276685715,
0.03144297003746033,
-0.03353085741400719,
-0.0425056628882885,
-0.007965915836393833,
-0.01087571494281292,
0.01603311114013195,
-0.011911869049072266,
-0.04761631414294243,
-0.026737431064248085,
-0.012597443535923958,
-0.005453438963741064,
0.021112598478794098,
-0.024852100759744644,
-0.005402799695730209,
0.009527936577796936,
-0.005145709030330181,
-0.005270359106361866,
-0.028529277071356773,
-0.008748874068260193,
0.020878881216049194,
0.0005214851116761565,
-0.007763359695672989,
0.00997979287058115,
-0.012636397033929825,
0.07578721642494202,
-0.016266828402876854,
0.021813755854964256,
0.08058624714612961,
-0.039888009428977966,
-0.004448447842150927,
-0.010182349942624569,
0.05425392836332321,
-0.0160798542201519,
0.015425441786646843,
0.024711869657039642,
0.021190505474805832,
-0.00035082167596556246,
-0.03776895999908447,
0.025958368554711342,
0.022764211520552635,
-0.0035895314067602158,
-0.023060256615281105,
0.02352769300341606,
-0.014280219562351704,
0.024883262813091278,
0.02954205684363842,
0.05372416228055954,
-0.04889397695660591,
0.007237492594867945,
-0.002827997552230954,
0.0003284236299805343,
-0.05014047399163246,
-0.027033476158976555,
0.048083748668432236,
0.005258673336356878,
0.002150213113054633,
0.0632910504937172,
-0.017435424029827118,
-0.030414607375860214,
0.012667559087276459,
0.004876932594925165,
0.000813146703876555,
0.009044918231666088,
0.0198193546384573,
0.01598636619746685,
0.006298721767961979,
0.03932708501815796,
-0.03521363437175751,
0.006041631102561951,
0.018494948744773865,
-0.01802751049399376,
0.0321597084403038,
-0.04739817604422569,
0.015207303687930107
] |
1208_11 | Early computers and the Turing test
Between 1945 and 1947, Turing lived in Hampton, London, while he worked on the design of the ACE (Automatic Computing Engine) at the National Physical Laboratory (NPL). He presented a paper on 19 February 1946, which was the first detailed design of a stored-program computer. Von Neumann's incomplete First Draft of a Report on the EDVAC had predated Turing's paper, but it was much less detailed and, according to John R. Womersley, Superintendent of the NPL Mathematics Division, it "contains a number of ideas which are Dr. Turing's own".
Although ACE was a feasible design, the effect of the Official Secrets Act surrounding the wartime work at Bletchley Park made it impossible for Turing to explain the basis of his analysis of how a computer installation involving human operators would work. This led to delays in starting the project and he became disillusioned. In late 1947 he returned to Cambridge for a sabbatical year during which he produced a seminal work on Intelligent Machinery that was not published in his lifetime. While he was at Cambridge, the Pilot ACE was being built in his absence. It executed its first program on 10 May 1950, and a number of later computers around the world owe much to it, including the English Electric DEUCE and the American Bendix G-15. The full version of Turing's ACE was not built until after his death.
According to the memoirs of the German computer pioneer Heinz Billing from the Max Planck Institute for Physics, published by Genscher, Düsseldorf, there was a meeting between Turing and Konrad Zuse. It took place in Göttingen in 1947. The interrogation had the form of a colloquium. Participants were Womersley, Turing, Porter from England and a few German researchers like Zuse, Walther, and Billing (for more details see Herbert Bruderer, Konrad Zuse und die Schweiz). | [
0.033986274152994156,
-0.020748350769281387,
0.020038332790136337,
-0.04253806546330452,
-0.017718935385346413,
-0.03490141034126282,
-0.024724461138248444,
-0.033923160284757614,
-0.010468845255672932,
0.009301257319748402,
-0.02545025944709778,
-0.0004048098053317517,
0.015541541390120983,
-0.05534997582435608,
-0.002465345896780491,
0.019138973206281662,
-0.0040747239254415035,
-0.014665850438177586,
-0.03957176208496094,
0.01935986801981926,
0.06254483759403229,
-0.0002790771541185677,
-0.01642512157559395,
-0.03900374472141266,
-0.045883048325777054,
0.017703156918287277,
0.03966642916202545,
-0.01500508189201355,
0.05891585350036621,
0.023193974047899246,
0.04058156535029411,
0.012740908190608025,
0.011107862927019596,
-0.010003387928009033,
0.020227670669555664,
-0.028211446478962898,
0.03793082758784294,
-0.07030772417783737,
0.00925392284989357,
-0.042664289474487305,
0.0005635780980810523,
-0.02838500775396824,
0.015257532708346844,
-0.030625514686107635,
-0.042127832770347595,
-0.01521808747202158,
0.0026704627089202404,
0.02756454050540924,
0.02827456034719944,
-0.014673739671707153,
0.010823855176568031,
0.0075735426507890224,
0.05427705869078636,
-0.001195199671201408,
0.006599238142371178,
-0.05396149307489395,
-0.021426815539598465,
0.021994831040501595,
-0.04777643084526062,
-0.0008816077024675906,
0.017403369769454002,
-0.016788020730018616,
0.011084195226430893,
-0.051468536257743835,
-0.02431422844529152,
0.0009146433440037072,
0.0013224115828052163,
0.0035777101293206215,
-0.04537814483046532,
-0.01405049953609705,
-0.0042482842691242695,
-0.014302951283752918,
-0.030530843883752823,
-0.03695257753133774,
-0.01670912839472294,
-0.03846728801727295,
0.007597210351377726,
0.016614459455013275,
-0.06061989814043045,
-0.018697183579206467,
0.00992449652403593,
-0.023825103417038918,
0.013143252581357956,
-0.0046782405115664005,
-0.014665850438177586,
-0.05020627751946449,
0.04935425519943237,
0.023698877543210983,
0.005254145245999098,
-0.03272401541471481,
0.03266090527176857,
0.014610626734793186,
0.026128722354769707,
0.052573010325431824,
0.033071137964725494,
0.025592263787984848,
-0.003260173602029681,
0.0031832547392696142,
-0.0097667146474123,
0.0008658295264467597,
0.05386682227253914,
0.09902407228946686,
-0.016038555651903152,
0.05591798946261406,
-0.017718935385346413,
-0.0025876271538436413,
-0.0440843291580677,
0.028937244787812233,
-0.019123194739222527,
-0.003999777138233185,
0.0023193974047899246,
0.026207614690065384,
-0.00829934049397707,
0.002552126068621874,
0.022105278447270393,
0.019454538822174072,
-0.0023292589467018843,
0.017813604325056076,
-0.03565876558423042,
0.04872312396764755,
0.0013253700453788042,
0.03726814314723015,
-0.001852954039350152,
0.034522730857133865,
-0.010957969352602959,
0.0025107082910835743,
-0.04929114133119583,
0.019060082733631134,
-0.010137503035366535,
-0.0285901241004467,
0.014768408611416817,
0.010681850835680962,
-0.02901613526046276,
0.01237011980265379,
0.014870966784656048,
0.03903530165553093,
0.04316919296979904,
0.0188234094530344,
0.008019277825951576,
-0.0021773935295641422,
0.029489481821656227,
-0.009727269411087036,
0.010839632712304592,
0.07605098932981491,
0.022089499980211258,
0.026144500821828842,
-0.02597094140946865,
0.0588211826980114,
-0.018728740513324738,
0.014815743081271648,
-0.018586736172437668,
-0.043232306838035583,
0.004903079941868782,
0.04380032420158386,
-0.009348591789603233,
-0.016298895701766014,
-0.027485650032758713,
0.018208058550953865,
0.00455595925450325,
0.0188234094530344,
-0.06358620524406433,
0.022704850882291794,
-0.01978588104248047,
0.00422067241743207,
0.014926190488040447,
0.016022777184844017,
-0.013111695647239685,
0.0023292589467018843,
0.0188234094530344,
-0.008851578459143639,
-0.0027375202625989914,
0.04282207414507866,
-0.03464895859360695,
0.011573320254683495,
0.01748226210474968,
0.04667195677757263,
0.03294491022825241,
0.03210866451263428,
-0.02257862500846386,
-0.04866001382470131,
-0.05869495868682861,
-0.020432787016034126,
0.03291335329413414,
0.021505706012248993,
-0.012022999115288258,
0.001101516536436975,
0.05269923433661461,
0.007013416383415461,
0.006327063776552677,
-0.029394812881946564,
0.0597994327545166,
0.014870966784656048,
-0.06721518933773041,
0.0041141691617667675,
-0.02477179653942585,
0.010287395678460598,
-0.03988732397556305,
0.05364592745900154,
0.003027444938197732,
-0.01620422676205635,
0.014042610302567482,
0.03736281022429466,
0.03755214810371399,
0.011312979273498058,
-0.019407203420996666,
0.01921786554157734,
0.006646572612226009,
0.053456589579582214,
-0.020196113735437393,
-0.008338786661624908,
0.017860937863588333,
-0.0087569085881114,
0.017245588824152946,
-0.0094117047265172,
0.04569370672106743,
0.030025942251086235,
-0.06150347739458084,
-0.02742253616452217,
0.024677127599716187,
0.03881440684199333,
-0.00638623209670186,
0.02066946029663086,
-0.014784187078475952,
-0.01606222242116928,
-0.031477537006139755,
0.016993137076497078,
0.004942525643855333,
0.07327402383089066,
0.035122305154800415,
0.03868818283081055,
-0.006153503432869911,
0.014657961204648018,
-0.039193082600831985,
0.03518541902303696,
0.030941078439354897,
-0.002520569832995534,
0.01605433225631714,
0.0431060828268528,
-0.0657004863023758,
-0.016519790515303612,
-0.04723997414112091,
0.018712962046265602,
0.035090748220682144,
0.04689285159111023,
0.027028080075979233,
0.020338118076324463,
-0.006504568737000227,
0.009545819833874702,
-0.01790827326476574,
0.007837828248739243,
-0.06607916206121445,
0.03461740165948868,
-0.04455767571926117,
-0.02633383870124817,
-0.03972954303026199,
0.007932497188448906,
-0.0010265700984746218,
0.010137503035366535,
-0.01950187236070633,
-0.051973436027765274,
0.005636767018586397,
0.006058834493160248,
0.019375646486878395,
-0.018066056072711945,
0.005632822401821613,
0.02409333363175392,
0.046230167150497437,
-0.030278393998742104,
-0.00587344029918313,
-0.03531164303421974,
-0.031161973252892494,
-0.03925619646906853,
-0.09814049303531647,
0.005707769189029932,
-0.06071456894278526,
-0.01275668665766716,
-0.03139864653348923,
-0.05888429656624794,
0.06150347739458084,
-0.05998877063393593,
-0.003804521868005395,
-0.01415305770933628,
-0.0047847433015704155,
0.04282207414507866,
0.010713407769799232,
-0.05105829983949661,
-0.03518541902303696,
0.010169059038162231,
-0.02112702839076519,
0.02636539563536644,
0.0314302034676075,
-0.00389327434822917,
-0.04086557403206825,
-0.03018372319638729,
0.04282207414507866,
-0.036542344838380814,
0.040960244834423065,
0.0495435930788517,
-0.04197004809975624,
-0.02494535595178604,
-0.023399092257022858,
-0.021915938705205917,
-0.008188893087208271,
-0.036447674036026,
0.0002239766763523221,
0.03562720865011215,
0.008591237477958202,
-0.05254145339131355,
0.0609985776245594,
0.002849939977750182,
-0.03559565171599388,
0.005108196754008532,
0.015951775014400482,
-0.04165448620915413,
-0.04083401709794998,
0.06822499632835388,
0.023935550823807716,
0.017892494797706604,
-0.01805027760565281,
-0.054971300065517426,
-0.009774603880941868,
0.004536236636340618,
-0.015809770673513412,
-0.017072027549147606,
-0.01524964440613985,
0.053488146513700485,
-0.01759270951151848,
-0.02434578537940979,
0.009577375836670399,
0.006015444174408913,
-0.01748226210474968,
0.020795686170458794,
-0.027375200763344765,
0.03439650684595108,
-0.05045872926712036,
-0.01383749395608902,
0.0002684761711861938,
0.029505260288715363,
0.03171421214938164,
-0.03373382240533829,
-0.019060082733631134,
-0.021915938705205917,
-0.0005798493511974812,
0.022215725854039192,
-0.029095027595758438,
-0.0018973302794620395,
0.01716669648885727,
-0.009514262899756432,
-0.0025659319944679737,
-0.03739436715841293,
0.0017099640099331737,
0.017324479296803474,
-0.00833089742809534,
-0.03458584472537041,
-0.016977358609437943,
0.07232733070850372,
-0.012196559458971024,
-0.01150231808423996,
-0.04436833783984184,
0.035374756902456284,
-0.014602737501263618,
0.04433678090572357,
-0.010129613801836967,
0.03043617494404316,
-0.04206471890211105,
-0.038088608533144,
-0.025923606008291245,
-0.007427594158798456,
0.03701569139957428,
-0.036573901772499084,
0.02522936463356018,
-0.003796632867306471,
-0.05367748439311981,
0.0018854965455830097,
-0.016156891360878944,
-0.04187538102269173,
0.0176242645829916,
-0.021931717172265053,
0.06216616556048393,
-0.061692818999290466,
0.018176503479480743,
0.017750490456819534,
-0.025560706853866577,
0.032503120601177216,
-0.02915813960134983,
-0.012409565038979053,
0.05538153275847435,
0.00781416054815054,
0.021773936226963997,
0.01261468231678009,
0.009482706896960735,
-0.01399527583271265,
-0.0064690676517784595,
-0.03237689658999443,
-0.003717741696164012,
-0.034238725900650024,
0.08570726215839386,
0.0015896550612524152,
-0.037457481026649475,
-0.018886523321270943,
0.053740598261356354,
-0.01334047969430685,
-0.04755553603172302,
0.035153862088918686,
-0.01967543363571167,
0.0004230533668305725,
-0.052920129150152206,
0.03198244050145149,
-0.016866911202669144,
-0.0035599595867097378,
-0.031729988753795624,
0.006007554940879345,
0.03736281022429466,
0.005617044400423765,
0.05165787413716316,
-0.00706864008679986,
-0.06677339971065521,
-0.00045017217053100467,
0.005506596993654966,
0.010326840914785862,
-0.06563737243413925,
-0.007234311196953058,
-0.016472455114126205,
0.05418238788843155,
0.016961580142378807,
-0.016788020730018616,
-0.02437734045088291,
-0.024045998230576515,
0.009214476682245731,
0.021190142259001732,
0.018034499138593674,
-0.040644679218530655,
-0.041780710220336914,
-0.01825539395213127,
-0.021915938705205917,
0.014176725409924984,
0.006528235971927643,
-0.005818216595798731,
0.013332591392099857,
-0.019722767174243927,
-0.008646461181342602,
0.015012971125543118,
-0.023982886224985123,
0.00010607150761643425,
-0.00404316745698452,
-0.004078668542206287,
0.0535828173160553,
0.026712516322731972,
0.001084752264432609,
0.020306561142206192,
0.04339008778333664,
-0.03357604146003723,
0.022815298289060593,
-0.01237011980265379,
0.0324084535241127,
0.0028282448183745146,
0.015912329778075218,
-0.005407982971519232,
0.010413621552288532,
-0.02459823526442051,
-0.056990910321474075,
0.011431315913796425,
0.028179891407489777,
-0.01580188237130642,
-0.034522730857133865,
0.06494312733411789,
0.022641737014055252,
0.03341825678944588,
-0.0024949300568550825,
0.03518541902303696,
-0.024992691352963448,
-0.012330674566328526,
-0.011565431021153927,
-0.0485653430223465,
0.03894063085317612,
-0.02286263182759285,
0.005285701714456081,
-0.05683312937617302,
0.025292476639151573,
-0.04903868958353996,
-0.013159031048417091,
0.014523846097290516,
0.004650628659874201,
-0.008291451260447502,
0.0023134807124733925,
-0.02784854732453823,
-0.020085666328668594,
-0.0022503677755594254,
-0.020795686170458794,
0.024645570665597916,
0.05244678258895874,
0.0519418828189373,
-0.01868140511214733,
-0.015557318925857544,
-0.02363576553761959,
-0.006082501728087664,
-0.020054109394550323,
-0.06784632056951523,
-0.010011277161538601,
0.047082189470529556,
0.014208282344043255,
-0.010539847426116467,
0.02742253616452217,
0.004816299770027399,
-0.012267561629414558,
-0.03846728801727295,
0.00059168302686885,
-0.008315118961036205,
0.00778654869645834,
0.002293757861480117,
0.020006775856018066,
-0.02081146463751793,
0.008827910758554935,
0.02707541547715664,
0.04364253953099251,
0.021789714694023132,
0.022562846541404724,
-0.021363701671361923,
-0.034207168966531754,
0.037457481026649475,
0.040991801768541336,
-0.03430183604359627,
-0.00745915062725544,
0.0026724350173026323,
-0.021537262946367264,
0.022957300767302513,
0.05071118101477623,
-0.040045108646154404,
-0.00022792123490944505,
-0.07194865494966507,
0.037741489708423615,
-0.07825994491577148,
-0.03389160335063934,
-0.0576220378279686,
-0.02055901288986206,
-0.0457252636551857,
-0.013955830596387386,
0.007597210351377726,
-0.02576582320034504,
-0.02516625076532364,
-0.04742931202054024,
0.025497594848275185,
0.03761526197195053,
0.0028893854469060898,
-0.045599039644002914,
-0.013261589221656322,
-0.022357730194926262,
0.03704724833369255,
-0.03326047584414482,
0.004536236636340618,
-0.01281191036105156,
0.02491380088031292,
0.017703156918287277,
0.01793983019888401,
-0.0428851880133152,
-0.04641950502991676,
-0.029142361134290695,
0.048849351704120636,
0.0024949300568550825,
0.06084079295396805,
0.008638571947813034,
0.04894401878118515,
0.0017582847503945231,
-0.018776074051856995,
-0.03326047584414482,
-0.016022777184844017,
-0.056927796453237534,
-0.019580764696002007,
0.038088608533144,
-0.010208504274487495,
0.028337672352790833,
-0.0074473172426223755,
-0.0012928274227306247,
0.01947031542658806,
-0.049417365342378616,
-0.007305313367396593,
-0.05752737075090408,
0.0009683878743089736,
-0.03603744134306908,
0.036005884408950806,
0.017813604325056076,
0.028353450819849968,
-0.0036013773642480373,
-0.014602737501263618,
0.03228222578763962,
-0.06734141707420349,
-0.045346587896347046,
0.07819683104753494,
-0.024077555164694786,
-0.013174808584153652,
-0.052604567259550095,
-0.0016961580840870738,
-0.04108646884560585,
-0.027028080075979233,
-0.0023213697131723166,
-0.009096140041947365,
0.0028459953609853983,
-0.007285590283572674,
-0.012835577130317688,
-0.09586843103170395,
-0.02526092156767845,
0.003210866590961814,
0.05017472058534622,
-0.00775893684476614,
0.026949189603328705,
0.005151587072759867,
-0.01950187236070633,
-0.006354675628244877,
0.030814852565526962,
-0.057811375707387924,
-0.017119362950325012,
0.00725403381511569,
0.03436494991183281,
0.027091193944215775,
-0.03931931033730507,
0.015233865939080715,
-0.06270262598991394,
-0.020006775856018066,
0.0036132109817117453,
-0.020259227603673935,
-0.001265215571038425,
0.034522730857133865,
0.030246837064623833,
-0.0017454649787396193,
-0.019407203420996666,
-0.036258336156606674,
-0.011478650383651257,
0.009025138802826405,
-0.05004849657416344,
0.017119362950325012,
0.008906802162528038,
-0.01415305770933628,
-0.028211446478962898,
0.02488224394619465,
0.0026684904005378485,
-0.026570511981844902,
0.027154305949807167,
-0.011013193987309933,
-0.0003126058727502823,
0.03789927065372467,
0.05449795350432396,
-0.012748797424137592,
0.02175815775990486,
-0.0521627776324749,
-0.04578837752342224,
0.01674068532884121,
0.01150231808423996,
-0.008906802162528038,
-0.05266767740249634,
0.004540181253105402,
0.02431422844529152,
-0.005471095908433199,
0.029221253469586372,
-0.007325035985559225,
-0.028716349974274635,
0.016377786174416542,
0.0014811798464506865,
-0.04484168440103531,
0.015036637894809246,
0.008212560787796974,
-0.020180335268378258,
-0.0011054611532017589,
-0.03900374472141266,
-0.019896328449249268,
0.031509093940258026,
0.01438184268772602,
-0.04711374640464783,
-0.04200160503387451,
-0.02759609743952751,
-0.045914601534605026,
-0.04496791213750839,
-0.022341951727867126,
0.0003256722120568156,
-0.03344981372356415,
-0.02101658098399639,
0.0049385810270905495,
-0.03078329563140869,
-0.04250650852918625,
0.06961347907781601,
-0.030941078439354897,
0.03184043616056442,
0.023083526641130447,
0.017356036230921745,
-0.023967107757925987,
0.010460956022143364,
0.004279840737581253,
-0.004126003012061119,
-0.05771670863032341,
0.007100196555256844,
-0.023698877543210983,
-0.018286950886249542,
-0.014302951283752918,
0.029221253469586372,
-0.009246033616364002,
0.0006508513470180333,
-0.007159364875406027,
-0.03969798609614372,
-0.019770102575421333,
0.016930023208260536,
0.0042877295054495335,
0.011904662474989891,
-0.013301034457981586,
0.030451953411102295,
0.03954020515084267,
-0.012086112052202225,
0.026176057755947113,
0.012464789673686028,
0.009356481023132801,
0.03319736197590828,
-0.023903993889689445,
0.028637459501624107,
-0.006169281899929047,
0.04843911901116371,
-0.06551114469766617,
-0.001178435399197042,
0.017845159396529198,
0.013490373268723488,
0.0097667146474123,
-0.014476511627435684,
0.05241522938013077,
0.04720841720700264,
0.024124888703227043,
-0.012307006865739822,
0.0404868982732296,
-0.005463206674903631,
0.017119362950325012,
0.007143586408346891,
-0.01318269781768322,
-0.0088121322914958,
-0.022988857701420784,
0.017971385270357132,
-0.012180780991911888,
-0.0051752543076872826,
-0.055823322385549545,
-0.016298895701766014,
-0.03089374303817749,
-0.008575459010899067,
-0.053772155195474625,
0.03373382240533829,
0.007084418088197708,
0.0035875714384019375,
0.048786237835884094,
-0.0008569542551413178,
0.018523624166846275,
-0.02639695256948471,
-0.0521627776324749,
0.006808299571275711,
-0.0350276343524456,
-0.033986274152994156,
-0.0015511956298723817,
0.011391870677471161,
-0.0030432231724262238,
0.010626627132296562,
-0.021205920726060867,
0.01978588104248047,
0.03720502927899361,
0.021947495639324188,
0.025986718013882637,
0.004654573276638985,
0.010208504274487495,
-0.004559903871268034,
0.0012030887883156538,
-0.011944107711315155,
-0.0392877534031868,
-0.028069444000720978,
0.006271840073168278,
-0.0183342844247818,
0.012180780991911888,
0.03606899827718735,
0.0306097362190485,
0.011376092210412025,
-0.03449117764830589,
0.003609266597777605,
0.01787671633064747,
-0.011667989194393158,
-0.014287172816693783,
0.023951329290866852,
-0.034207168966531754,
0.027769656851887703,
0.0065361252054572105,
0.011786325834691525,
-0.0009338730596937239,
-0.003124086419120431,
0.04727153107523918,
-0.02297307923436165,
0.004903079941868782,
0.036321450024843216,
0.08394009619951248,
0.004051056690514088,
0.02059056982398033,
-0.00018859896226786077,
-0.00833089742809534,
0.03354448452591896,
0.020764129236340523,
-0.046735070645809174,
0.01435028575360775,
0.018570957705378532,
0.014894634485244751,
-0.00960893277078867,
0.06633161008358002,
0.049101803451776505,
-0.012094001285731792,
0.03373382240533829,
0.0053290920332074165,
0.009877162054181099,
-0.02802210859954357,
0.02876368537545204,
0.013774381019175053,
0.029931271448731422,
-0.00101769482716918,
-0.03799394145607948,
0.05254145339131355,
-0.02795899473130703,
-0.03468051552772522,
0.008165226317942142,
-0.08444499969482422,
0.06251328438520432,
0.007435483392328024,
-0.0016695322701707482,
-0.01705624908208847,
0.021426815539598465,
0.033607594668865204,
-0.010413621552288532,
-0.03018372319638729,
0.015131307765841484,
0.01634622924029827,
0.024535123258829117,
0.044747017323970795,
0.010587181895971298,
0.020890355110168457,
-0.009238144382834435,
-0.02516625076532364,
0.03288180008530617,
0.020401230081915855,
0.03789927065372467,
0.020969247445464134,
-0.03679479658603668,
-0.04058156535029411,
0.05749581381678581,
0.0019752352964133024,
-0.06595293432474136,
0.009561597369611263,
0.00018255886971019208,
0.02115858532488346,
-0.03871973603963852,
-0.010950081050395966,
-0.04058156535029411,
0.04316919296979904,
0.015722990036010742,
0.009616822004318237,
-0.026586290448904037,
0.054340168833732605,
0.002118225209414959,
0.014799964614212513,
0.012117668986320496,
0.02866901457309723,
0.024266893044114113,
0.038088608533144,
0.05304635688662529,
-0.01939142495393753,
-0.011407649144530296,
-0.031083082780241966,
-0.012212337926030159,
-0.013758602552115917,
0.022673293948173523,
-0.008267784491181374,
-0.01057929266244173,
-0.030215280130505562,
-0.0005261048208922148,
-0.00419306056573987,
0.0203538965433836,
-0.0019604430999606848,
0.015115529298782349,
-0.03670012578368187,
-0.029789268970489502,
-0.01790827326476574,
0.01628311723470688,
-0.009435372427105904,
0.010161169804632664,
0.0533619187772274,
-0.02533981204032898,
-0.0076406002044677734,
-0.011210421100258827,
-0.035374756902456284,
-0.021537262946367264,
0.02866901457309723,
-0.04604082927107811,
-0.001932831248268485,
-0.013648155145347118,
-0.023257087916135788,
-0.02767498791217804,
0.007932497188448906,
-0.025150474160909653,
-0.01694580167531967,
0.0583793930709362,
0.032471563667058945,
0.021679265424609184,
0.03726814314723015,
-0.03092529997229576,
-0.004690074361860752,
0.03755214810371399,
-0.0021773935295641422,
0.029489481821656227,
0.02955259568989277,
-0.003116197418421507,
0.020779907703399658,
-0.0050056385807693005,
-0.017261365428566933,
0.023020414635539055,
0.0013884828658774495,
-0.0091119185090065,
-0.029173918068408966,
-0.04114958271384239,
-0.03931931033730507,
0.0003185227105859667,
0.003881440730765462,
0.015699323266744614,
0.05209966376423836,
0.008323008194565773,
-0.023588430136442184,
-0.027517205104231834,
-0.04553592577576637,
-0.013758602552115917,
-0.003013639012351632,
0.06456445157527924,
0.013088028877973557,
-0.002341092564165592,
-0.028716349974274635,
-0.01166009996086359,
0.29536816477775574,
0.06803566217422485,
-0.001859857002273202,
0.043894991278648376,
0.01861829310655594,
0.053204137831926346,
0.03458584472537041,
0.015052416361868382,
0.037425924092531204,
-0.011786325834691525,
0.003642795141786337,
0.012133446522057056,
0.004729519598186016,
-0.021647710353136063,
-0.008583348244428635,
0.019486093893647194,
-0.04847067594528198,
0.010744963772594929,
-0.004252228885889053,
-0.04585149139165878,
-0.035406313836574554,
0.01879185251891613,
-0.013032805174589157,
0.006804354954510927,
-0.009987609460949898,
0.01611744612455368,
0.028605902567505836,
-0.05389837920665741,
-0.025718489661812782,
-0.015147085301578045,
-0.007210643962025642,
0.00045214444980956614,
-0.015612542629241943,
0.0009526096982881427,
0.006615016143769026,
0.022057943046092987,
-0.013316812925040722,
-0.0048518008552491665,
-0.020259227603673935,
-0.013277367688715458,
-0.012630460783839226,
0.018271172419190407,
-0.014957747422158718,
0.015328534878790379,
0.01491830125451088,
0.07655589282512665,
-0.0033173696137964725,
0.004469179082661867,
0.05954698100686073,
-0.038625068962574005,
0.020259227603673935,
-0.0009550750255584717,
0.02414066717028618,
0.00011833660391857848,
-0.009474817663431168,
-0.004690074361860752,
0.02431422844529152,
-0.00773132499307394,
-0.032045554369688034,
0.02070101723074913,
0.04253806546330452,
-0.029505260288715363,
-0.0007193879573605955,
0.02474023960530758,
0.017103584483265877,
0.005364592652767897,
0.04342164471745491,
0.031477537006139755,
-0.005419816356152296,
0.04723997414112091,
-0.002045250963419676,
0.026412731036543846,
-0.041212696582078934,
-0.013056471943855286,
0.031509093940258026,
-0.02873212844133377,
-0.0457252636551857,
0.038341060280799866,
0.023683099076151848,
-0.02491380088031292,
0.03152487054467201,
0.009758825413882732,
0.014208282344043255,
-0.016535568982362747,
0.02830611541867256,
0.013017026707530022,
0.001252395799383521,
-0.022657515481114388,
-0.0416860431432724,
0.025008469820022583,
0.02611294388771057,
0.006634739227592945,
-0.02417222410440445,
-0.008228338323533535,
-0.003195088356733322
] |
1208_12 | In 1948, Turing was appointed reader in the Mathematics Department at the Victoria University of Manchester. A year later, he became deputy director of the Computing Machine Laboratory, where he worked on software for one of the earliest stored-program computers—the Manchester Mark 1. Turing wrote the first version of the Programmer's Manual for this machine, and was recruited by Ferranti as a consultant in the development of their commercialised machine, the Ferranti Mark 1. He continued to be paid consultancy fees by Ferranti until his death. During this time, he continued to do more abstract work in mathematics, and in "Computing Machinery and Intelligence" (Mind, October 1950), Turing addressed the problem of artificial intelligence, and proposed an experiment that became known as the Turing test, an attempt to define a standard for a machine to be called "intelligent". The idea was that a computer could be said to "think" if a human interrogator could not tell it apart, through conversation, from a human being. In the paper, Turing suggested that rather than building a program to simulate the adult mind, it would be better to produce a simpler one to simulate a child's mind and then to subject it to a course of education. A reversed form of the Turing test is widely used on the Internet; the CAPTCHA test is intended to determine whether the user is a human or a computer.
In 1948, Turing, working with his former undergraduate colleague, D.G. Champernowne, began writing a chess program for a computer that did not yet exist. By 1950, the program was completed and dubbed the Turochamp. In 1952, he tried to implement it on a Ferranti Mark 1, but lacking enough power, the computer was unable to execute the program. Instead, Turing "ran" the program by flipping through the pages of the algorithm and carrying out its instructions on a chessboard, taking about half an hour per move. The game was recorded. According to Garry Kasparov, Turing's program "played a recognizable game of chess." The program lost to Turing's colleague Alick Glennie, although it is said that it won a game against Champernowne's wife,
Isabel.
His Turing test was a significant, characteristically provocative, and lasting contribution to the debate regarding artificial intelligence, which continues after more than half a century.
Pattern formation and mathematical biology | [
0.03340115025639534,
-0.02777378261089325,
0.03039081022143364,
-0.031011031940579414,
-0.03654763475060463,
-0.03092026710510254,
-0.026729997247457504,
-0.023205328732728958,
-0.036819927394390106,
0.020618554204702377,
-0.0053588575683534145,
0.00012048683856846765,
0.003706196555867791,
-0.03651738166809082,
0.003055721055716276,
-0.03025466576218605,
-0.021541321650147438,
-0.027683017775416374,
-0.0467132031917572,
-0.012903614901006222,
0.05515425279736519,
0.029740335419774055,
-0.04877052083611488,
-0.025141626596450806,
-0.025988757610321045,
0.020255498588085175,
0.019468877464532852,
-0.034308791160583496,
0.04804440960288048,
0.01256325002759695,
0.05070681869983673,
0.005389112047851086,
0.007919158786535263,
-0.01733592338860035,
-0.008834362030029297,
-0.033280130475759506,
0.041448891162872314,
-0.04995045065879822,
-0.007673339452594519,
-0.023296091705560684,
0.024566788226366043,
-0.028575530275702477,
-0.010944625362753868,
-0.044171810150146484,
-0.04695523902773857,
0.000690657296217978,
0.034762609750032425,
0.006171951536089182,
-0.010248768143355846,
-0.03028491884469986,
0.012336339801549911,
0.012555685825645924,
0.019695786759257317,
-0.0031237942166626453,
-0.0012111320393159986,
-0.029059605672955513,
-0.006538789253681898,
0.004265907686203718,
-0.048528481274843216,
0.0069207544438540936,
0.06480549275875092,
-0.02261536195874214,
-0.010679896920919418,
-0.03261452913284302,
0.00605849688872695,
0.0047272914089262486,
0.022161541506648064,
-0.03458108380436897,
-0.014370965771377087,
-0.019272221252322197,
-0.02671486884355545,
-0.02076982706785202,
-0.021677467972040176,
-0.010604260489344597,
0.002560300985351205,
-0.004307508002966642,
0.03739476576447487,
-0.016004716977477074,
-0.030557211488485336,
0.029362153261899948,
0.002157535869628191,
0.01719977706670761,
-0.0048634372651577,
0.0007280028657987714,
-0.007325410842895508,
-0.060660604387521744,
0.05706029757857323,
0.07351883500814438,
-0.014764276333153248,
-0.06922267377376556,
0.02908986061811447,
0.0034357954282313585,
0.002397682284936309,
0.04008743166923523,
0.024748316034674644,
0.03355242311954498,
-0.015127332881093025,
-0.01045298669487238,
0.011156408116221428,
-0.003585177706554532,
0.02491471730172634,
0.11030850559473038,
-0.01868225634098053,
0.06988827884197235,
-0.014068419113755226,
0.0033299040514975786,
-0.04574505239725113,
0.026049267500638962,
-0.038544442504644394,
-0.00500714685767889,
-0.008183887228369713,
0.036033306270837784,
-0.007367011159658432,
0.009878148324787617,
-0.04411130025982857,
0.03597279638051987,
-0.011262299492955208,
0.013304488733410835,
-0.030511830002069473,
0.031616125255823135,
-0.010218513198196888,
0.03436930105090141,
-0.007143882568925619,
0.022902781143784523,
0.0014966604067012668,
0.01185226533561945,
-0.04450461268424988,
0.04405079409480095,
-0.0034395772963762283,
-0.03007313795387745,
0.008138504810631275,
0.03627534210681915,
-0.005513912532478571,
0.013470890000462532,
-0.00035761960316449404,
0.03125306963920593,
0.027289707213640213,
0.015838317573070526,
-0.01142869982868433,
-0.02190437726676464,
0.026941780000925064,
0.0005909114261157811,
-0.03697120025753975,
0.06783095747232437,
0.01195815671235323,
0.0031464851927012205,
-0.029589062556624413,
0.04550301656126976,
-0.012835541740059853,
0.024718061089515686,
-0.028106583282351494,
-0.023401983082294464,
-0.0033034312073141336,
0.028636040166020393,
-0.018954547122120857,
-0.021632084622979164,
-0.020255498588085175,
-0.008304905146360397,
0.020043715834617615,
0.016337519511580467,
-0.05609215050935745,
0.03987564891576767,
-0.009893275797367096,
0.014809658750891685,
-0.002395791234448552,
0.028999095782637596,
-0.039966411888599396,
0.004141107201576233,
0.015059259720146656,
0.0025943375658243895,
-0.010876552201807499,
0.025746719911694527,
-0.00971174705773592,
0.002499791793525219,
0.02278176322579384,
0.0576653927564621,
0.030587466433644295,
0.008380542509257793,
-0.02055804431438446,
-0.034339044243097305,
-0.06329275667667389,
-0.0070379916578531265,
0.026366939768195152,
0.03742501884698868,
-0.02214641496539116,
0.02055804431438446,
0.02629130333662033,
-0.003668378107249737,
0.019196584820747375,
0.022554852068424225,
0.030345428735017776,
0.02328096516430378,
-0.07140100747346878,
-0.012820414267480373,
-0.0037534693256020546,
0.02629130333662033,
-0.024355005472898483,
0.052945662289857864,
-0.021677467972040176,
-0.03167663514614105,
-0.008289778605103493,
0.044171810150146484,
0.028424257412552834,
-0.00537020293995738,
-0.011716119013726711,
-0.0031181215308606625,
-0.007828394882380962,
0.017986398190259933,
-0.054397888481616974,
-0.010006730444729328,
0.014023037627339363,
-0.013478453271090984,
0.03300783783197403,
0.017850251868367195,
0.02148081175982952,
0.005597113166004419,
-0.09947733581066132,
-0.011504336260259151,
0.009197418577969074,
0.04698549583554268,
0.021042119711637497,
0.03551897779107094,
-0.01691235788166523,
0.005510130897164345,
0.003241030965000391,
-0.007919158786535263,
-0.005135729443281889,
0.09463658928871155,
0.014741585589945316,
0.02214641496539116,
0.028817567974328995,
0.048316698521375656,
-0.052885156124830246,
0.01844021864235401,
0.013728054240345955,
-0.020527789369225502,
-0.009575601667165756,
0.0371527299284935,
-0.026245921850204468,
-0.012827977538108826,
-0.04223551228642464,
0.021420303732156754,
0.07261119782924652,
0.07612073421478271,
0.026669487357139587,
0.05409534275531769,
0.008615016005933285,
0.016428282484412193,
-0.015369369648396969,
0.026684613898396492,
-0.016685448586940765,
0.059178125113248825,
-0.008267086930572987,
-0.030829504132270813,
-0.03987564891576767,
0.020679064095020294,
0.025429045781493187,
0.03527693822979927,
0.01677621155977249,
-0.08374491333961487,
-0.012631322257220745,
-0.013130524195730686,
0.019695786759257317,
-0.00036305596586316824,
-0.01148164551705122,
0.03905877098441124,
0.046198874711990356,
0.029498297721147537,
-0.003082193899899721,
-0.025171881541609764,
-0.04199347645044327,
-0.046410657465457916,
-0.074305459856987,
-0.009295745752751827,
-0.03155561536550522,
-0.021178266033530235,
-0.01828894577920437,
-0.06323225051164627,
0.041055578738451004,
-0.022690998390316963,
-0.006327006965875626,
-0.016019845381379128,
-0.02568621002137661,
0.0484679751098156,
-0.007730066776275635,
-0.011950592510402203,
-0.044776905328035355,
-0.018621746450662613,
-0.04051099717617035,
0.040147941559553146,
0.020512662827968597,
-0.021450556814670563,
-0.0339759886264801,
-0.029422661289572716,
0.06268766522407532,
-0.006712753791362047,
0.031222814694046974,
0.0013000051258131862,
-0.027607381343841553,
-0.019831933081150055,
-0.02497522532939911,
-0.023477619513869286,
0.03312885761260986,
-0.000017077340089599602,
0.004738636780530214,
0.04223551228642464,
0.012071611359715462,
-0.0385746993124485,
0.0633532702922821,
0.0194537490606308,
-0.0203462615609169,
-0.019408367574214935,
-0.046864476054906845,
0.011224480345845222,
-0.04253805801272392,
0.05191700533032417,
0.014560057781636715,
-0.02080008201301098,
-0.005888313986361027,
-0.05391381308436394,
-0.00294604804366827,
-0.026487959548830986,
-0.02561057358980179,
-0.021390048786997795,
0.010589133016765118,
0.048104915767908096,
-0.01567191630601883,
-0.03815113380551338,
-0.030330302193760872,
-0.001684806658886373,
-0.038937754929065704,
0.031827908009290695,
-0.005154638551175594,
0.05391381308436394,
-0.04344569891691208,
-0.022736379876732826,
-0.0058164591901004314,
0.029210878536105156,
0.035609740763902664,
-0.028817567974328995,
-0.011201789602637291,
-0.04465588554739952,
-0.01971091516315937,
0.054367631673812866,
-0.0015184059739112854,
0.004220525734126568,
0.03721323981881142,
-0.013160779140889645,
-0.005612240172922611,
-0.03545846790075302,
-0.012442231178283691,
0.05140267685055733,
-0.011262299492955208,
-0.019332731142640114,
-0.011549718677997589,
0.038302406668663025,
-0.01494580414146185,
0.0057105678133666515,
-0.023265836760401726,
0.0238860584795475,
-0.014386093243956566,
0.012502740137279034,
-0.008562070317566395,
0.026170285418629646,
-0.06498701870441437,
-0.04465588554739952,
-0.017714105546474457,
0.014227256178855896,
0.028030946850776672,
-0.040995072573423386,
0.0016450973926112056,
-0.028893204405903816,
-0.009068835526704788,
-0.028666295111179352,
-0.002138626528903842,
-0.012971688061952591,
0.022418707609176636,
-0.015119768679141998,
0.05203802511096001,
-0.037273745983839035,
0.01029414962977171,
0.014204565435647964,
-0.03194892778992653,
0.02774352766573429,
-0.025701338425278664,
-0.01585344411432743,
0.05055554583668709,
0.021072374656796455,
0.016398027539253235,
0.007680903188884258,
-0.027395598590373993,
0.016503918915987015,
-0.007866213098168373,
-0.029558807611465454,
-0.020437026396393776,
-0.0385746993124485,
0.07769397646188736,
0.04556352645158768,
-0.019362986087799072,
0.010823606513440609,
0.05470043420791626,
-0.029271388426423073,
-0.04383901134133339,
0.054609671235084534,
-0.022388452664017677,
0.0010239313123747706,
-0.03491388261318207,
0.01645853742957115,
-0.029921863228082657,
0.0016063336515799165,
-0.04129761829972267,
0.0014040055684745312,
0.04610810801386833,
-0.023326346650719643,
0.06613669544458389,
-0.01712414063513279,
-0.03754603862762451,
0.0015486606862396002,
0.010354659520089626,
-0.006561480462551117,
-0.06528956443071365,
-0.001542042475193739,
0.019983205944299698,
0.0739424005150795,
0.02465755119919777,
-0.010604260489344597,
-0.017472069710493088,
-0.024430641904473305,
0.008615016005933285,
-0.017698979005217552,
0.020921101793646812,
-0.03167663514614105,
-0.009522655978798866,
-0.02303892746567726,
-0.029392406344413757,
0.023326346650719643,
0.023765038698911667,
-0.03775782138109207,
0.027516618371009827,
-0.027501489967107773,
-0.008569633588194847,
-0.011738809756934643,
-0.006879154592752457,
-0.010210948996245861,
0.0020951356273144484,
-0.010642078705132008,
0.02978571690618992,
0.033310387283563614,
-0.026563595980405807,
-0.004432308487594128,
0.027047671377658844,
-0.07115897536277771,
0.0307841207832098,
-0.03639636188745499,
0.007972104474902153,
-0.01142869982868433,
0.019060438498854637,
-0.006413988769054413,
0.00965880136936903,
-0.005960168782621622,
-0.046198874711990356,
-0.0015231332508847117,
0.012555685825645924,
-0.02161695808172226,
-0.020890846848487854,
0.0668628066778183,
0.014370965771377087,
0.045805562287569046,
-0.001092004356905818,
0.018485600128769875,
-0.009288182482123375,
-0.01132280845195055,
0.00531725725159049,
-0.03951259329915047,
0.035821523517370224,
-0.046471163630485535,
0.006546352989971638,
-0.0576653927564621,
0.03376420587301254,
-0.06704434007406235,
-0.036245089024305344,
0.01588369905948639,
0.01585344411432743,
0.0037307783495634794,
0.001841752789914608,
-0.029059605672955513,
-0.041842203587293625,
-0.015520643442869186,
-0.030935395509004593,
0.017078759148716927,
0.007790576200932264,
0.04631989076733589,
0.0015184059739112854,
0.018667127937078476,
-0.05031350627541542,
0.027592254802584648,
-0.017956143245100975,
-0.04214474931359291,
-0.010415168479084969,
0.03216071054339409,
0.003823433304205537,
-0.01656442880630493,
0.020845463499426842,
-0.006466934457421303,
-0.03594254329800606,
-0.03930081054568291,
-0.01680646650493145,
-0.06904114782810211,
-0.02010422572493553,
0.002233172534033656,
-0.0000427228951593861,
-0.028394002467393875,
0.026699742302298546,
0.022206924855709076,
0.04402053728699684,
0.022297687828540802,
0.007741412613540888,
-0.0028080111369490623,
-0.024672679603099823,
0.06220358982682228,
0.009265490807592869,
-0.04447435587644577,
0.0012640777276828885,
0.0509488545358181,
-0.004844528157263994,
0.02381042204797268,
0.03612406924366951,
-0.04420206695795059,
0.005351293832063675,
-0.07575768232345581,
0.023341473191976547,
-0.03633585199713707,
-0.014802094548940659,
-0.04241704195737839,
-0.0004112743481528014,
-0.022343069314956665,
-0.014106237329542637,
0.00481049157679081,
-0.030088264495134354,
-0.029347024857997894,
-0.05140267685055733,
0.003711869241669774,
0.028968842700123787,
0.021707722917199135,
-0.05345999449491501,
-0.011980847455561161,
-0.0015127332881093025,
0.048135172575712204,
-0.02214641496539116,
0.018621746450662613,
0.012548122555017471,
0.02190437726676464,
-0.011383317410945892,
0.02912011556327343,
-0.019408367574214935,
-0.04553326964378357,
0.00012326412252150476,
0.019484004005789757,
0.008887307718396187,
0.05076732859015465,
-0.010838733986020088,
0.0040654707700014114,
0.007015300448983908,
0.021526193246245384,
-0.0121169937774539,
-0.034308791160583496,
-0.044383592903614044,
-0.002452518790960312,
0.07624175399541855,
-0.02201026864349842,
0.04402053728699684,
-0.016246754676103592,
-0.009091527201235294,
0.04453486576676369,
-0.0017717888113111258,
-0.02908986061811447,
-0.009038581512868404,
-0.007491811644285917,
-0.07696786522865295,
0.04447435587644577,
0.002558410167694092,
0.009204981848597527,
-0.004738636780530214,
-0.0018795711221173406,
0.044383592903614044,
-0.059178125113248825,
-0.004069252405315638,
0.09003788232803345,
-0.0009123672498390079,
-0.02328096516430378,
-0.016791339963674545,
-0.008206577971577644,
-0.030799249187111855,
-0.04695523902773857,
-0.014045728370547295,
-0.014166747219860554,
0.0036986328195780516,
0.00020079170644748956,
0.000757784815505147,
-0.09082450717687607,
-0.01924196630716324,
0.02095135487616062,
0.02908986061811447,
-0.02201026864349842,
0.01478696707636118,
-0.008766288869082928,
-0.03648712486028671,
-0.03173714503645897,
0.03340115025639534,
-0.030829504132270813,
-0.02317507378757,
0.0006183297373354435,
0.031162304803729057,
-0.0033128857612609863,
-0.03848393261432648,
0.0029422661755234003,
-0.07236915826797485,
-0.02555006369948387,
0.010483241640031338,
-0.014053291641175747,
0.01741155982017517,
0.02964957244694233,
0.03318936750292778,
-0.03279605507850647,
-0.016216499730944633,
-0.05097911134362221,
-0.02774352766573429,
0.021949758753180504,
-0.029558807611465454,
-0.00023790093837305903,
0.022736379876732826,
-0.033068347722291946,
-0.0002715828886721283,
0.06090264022350311,
-0.005903441458940506,
-0.026896396651864052,
0.017683852463960648,
0.005691658705472946,
-0.04429282993078232,
0.0474090613424778,
0.05352050065994263,
-0.025746719911694527,
0.014620566740632057,
-0.06141696870326996,
0.01210186630487442,
0.016685448586940765,
-0.014075983315706253,
0.005336166359484196,
-0.047106511890888214,
-0.008093123324215412,
0.042901113629341125,
-0.005128165706992149,
0.025202136486768723,
-0.053581010550260544,
-0.05467018112540245,
0.024143222719430923,
0.005578204058110714,
-0.011685864068567753,
-0.02261536195874214,
0.003182412590831518,
0.01251030433923006,
0.02972520887851715,
-0.04305238649249077,
-0.025534937158226967,
0.030905140563845634,
0.04420206695795059,
-0.031162304803729057,
-0.03173714503645897,
-0.03775782138109207,
-0.05657622218132019,
-0.03049670159816742,
-0.014423911459743977,
0.012691832147538662,
-0.04023870453238487,
0.00500714685767889,
0.012654013931751251,
-0.015702171251177788,
-0.04347595199942589,
0.04550301656126976,
-0.04483741521835327,
0.03340115025639534,
-0.0058013321831822395,
0.031827908009290695,
-0.029241133481264114,
0.011292553506791592,
0.016004716977477074,
-0.032463256269693375,
-0.03394573554396629,
0.012578376568853855,
-0.013266670517623425,
-0.0031521578785032034,
-0.017819996923208237,
0.017456941306591034,
-0.04544250667095184,
-0.00020882810349576175,
-0.01146651804447174,
0.008017485961318016,
-0.030118519440293312,
0.00574082275852561,
-0.008146069012582302,
0.007340538315474987,
0.006656026467680931,
0.024370132014155388,
0.035609740763902664,
-0.008841926231980324,
-0.03554923087358475,
-0.01730566844344139,
0.012933868914842606,
0.034127261489629745,
-0.04108583554625511,
0.04762084409594536,
-0.006519880145788193,
0.03285656496882439,
-0.046834222972393036,
-0.008282214403152466,
0.02872680500149727,
-0.018198180943727493,
-0.0002146190236089751,
-0.003239140147343278,
0.04020845144987106,
0.05385330319404602,
0.011315245181322098,
-0.0034206679556518793,
0.02774352766573429,
0.006603080779314041,
0.006935881916433573,
-0.005328603088855743,
-0.028469638898968697,
0.006440461613237858,
-0.013100270181894302,
0.01564166136085987,
-0.024823952466249466,
-0.019120948389172554,
-0.0371527299284935,
-0.025882866233587265,
-0.021465685218572617,
0.022418707609176636,
-0.038937754929065704,
0.02915037050843239,
0.01121691707521677,
-0.023296091705560684,
0.0105286231264472,
-0.008448615670204163,
-0.007654430344700813,
-0.03343140333890915,
-0.059178125113248825,
0.02055804431438446,
-0.04877052083611488,
-0.03775782138109207,
0.03173714503645897,
0.004239434842020273,
-0.00027796474751085043,
0.021858995780348778,
-0.01489285845309496,
0.0023863366805016994,
0.03403649851679802,
0.03860495239496231,
0.02523239143192768,
0.01886378414928913,
0.004492817912250757,
0.003870706306770444,
-0.018122544512152672,
-0.04256831482052803,
-0.04108583554625511,
0.020724445581436157,
0.01804690808057785,
-0.017351049929857254,
0.034339044243097305,
0.049375612288713455,
0.05179598554968834,
0.0360938161611557,
-0.06171951815485954,
0.012290957383811474,
0.015369369648396969,
-0.01818305440247059,
-0.012911178171634674,
0.030012628063559532,
-0.002187790349125862,
0.01797127164900303,
-0.026866141706705093,
0.025822356343269348,
-0.007711157668381929,
0.015339115634560585,
0.04023870453238487,
-0.007529629860073328,
-0.02253972552716732,
0.024173477664589882,
0.047923389822244644,
-0.01992269605398178,
0.024778570979833603,
-0.029241133481264114,
-0.008388105779886246,
0.011542154476046562,
0.027546873316168785,
-0.02710817940533161,
0.028999095782637596,
0.022902781143784523,
0.031192559748888016,
-0.008985635824501514,
0.05049503594636917,
0.03612406924366951,
-0.00553660374134779,
0.04610810801386833,
0.03240274637937546,
-0.016715701669454575,
-0.00011546409223228693,
0.03179765120148659,
-0.025565192103385925,
0.007007736712694168,
-0.0061265695840120316,
-0.03458108380436897,
0.04677371308207512,
-0.032493509352207184,
-0.018243562430143356,
0.00268888333812356,
-0.09384997189044952,
0.07400291413068771,
0.01164048258215189,
-0.018803274258971214,
-0.01881840080022812,
0.016927484422922134,
0.03282631188631058,
0.01617111824452877,
-0.013902018778026104,
-0.007843522354960442,
0.016322391107678413,
0.038968008011579514,
0.045381996780633926,
0.003562486730515957,
-0.003936888184398413,
-0.015059259720146656,
-0.006277842912822962,
0.03736451268196106,
0.03803011402487755,
0.05951092764735222,
0.03406675159931183,
-0.040178194642066956,
-0.035216428339481354,
0.03651738166809082,
0.015944208949804306,
-0.034732356667518616,
0.0037269964814186096,
-0.00014950058539398015,
0.019468877464532852,
-0.026760250329971313,
0.0025168098509311676,
-0.021208520978689194,
0.029604189097881317,
0.024612169712781906,
-0.010800915770232677,
-0.023311220109462738,
0.040571507066488266,
-0.017819996923208237,
0.03902851790189743,
-0.009454582817852497,
0.044565122574567795,
0.050404272973537445,
0.03017902746796608,
0.06535007804632187,
0.0022274996154010296,
-0.00543071236461401,
-0.014242383651435375,
-0.019166329875588417,
0.004436090122908354,
0.04305238649249077,
0.011700991541147232,
0.0045381998643279076,
-0.03754603862762451,
-0.020921101793646812,
-0.03869571536779404,
-0.0053588575683534145,
-0.022509470582008362,
0.006898063700646162,
-0.023326346650719643,
-0.009628547355532646,
-0.009273055009543896,
0.041055578738451004,
0.0038915062323212624,
-0.006909409072250128,
0.03908902779221535,
-0.01574755273759365,
-0.005468530580401421,
-0.03899826481938362,
0.014938240870833397,
-0.04713676869869232,
0.012948996387422085,
-0.03446006402373314,
-0.018833529204130173,
0.004852091893553734,
-0.04181194677948952,
-0.019937824457883835,
-0.020830336958169937,
0.0022993546444922686,
-0.017245158553123474,
0.021132882684469223,
0.002768301870673895,
0.022706126794219017,
0.04849822819232941,
-0.04399028420448303,
-0.003846124280244112,
0.03067823126912117,
0.006077405996620655,
0.0016384791815653443,
0.027607381343841553,
0.02108750119805336,
0.014280201867222786,
0.004394490271806717,
-0.02536853589117527,
0.019892442971467972,
0.03633585199713707,
-0.0006793117499910295,
-0.02338685654103756,
-0.025928247720003128,
-0.0061038788408041,
0.0006684390245936811,
-0.001330259838141501,
0.030905140563845634,
0.01857636496424675,
0.017184650525450706,
-0.05388356000185013,
-0.035579487681388855,
-0.03666865453124046,
-0.021526193246245384,
-0.007109846454113722,
0.06238511949777603,
-0.010876552201807499,
-0.00759770255535841,
0.0019136075861752033,
-0.03394573554396629,
0.2705977261066437,
0.08301880210638046,
0.006720317527651787,
0.030436193570494652,
0.037485528737306595,
0.0569695346057415,
0.030436193570494652,
-0.0058807507157325745,
0.02126902900636196,
0.0035492503084242344,
0.03654763475060463,
-0.006444243714213371,
-0.02296329103410244,
-0.001063640578649938,
-0.01204892061650753,
0.016186246648430824,
-0.03509541228413582,
-0.012623758986592293,
-0.027289707213640213,
-0.03878648206591606,
-0.052068278193473816,
0.022872526198625565,
-0.02420373260974884,
-0.030269792303442955,
0.03887724503874779,
-0.01677621155977249,
0.03939157351851463,
-0.0229935459792614,
-0.008637706749141216,
-0.05424661561846733,
0.0056008948013186455,
0.025323154404759407,
-0.03312885761260986,
-0.006137914955615997,
0.033703695982694626,
0.03848393261432648,
0.007302719634026289,
0.012427103705704212,
-0.030375683680176735,
0.018939420580863953,
0.01651904731988907,
0.02819734811782837,
-0.0007369847153313458,
0.006266497541218996,
-0.014431475661695004,
0.03146485239267349,
-0.018803274258971214,
0.004212961997836828,
0.05996474623680115,
-0.010884115472435951,
-0.016761085018515587,
0.023447364568710327,
0.03488362953066826,
-0.03300783783197403,
-0.0029157933313399553,
-0.014204565435647964,
0.0224640890955925,
-0.00543071236461401,
-0.06111442297697067,
0.03966386616230011,
0.032281726598739624,
-0.01719977706670761,
0.021026991307735443,
0.025746719911694527,
-0.01875789277255535,
0.02869655005633831,
0.02819734811782837,
0.04553326964378357,
-0.03633585199713707,
0.06214308366179466,
-0.00034107407554984093,
0.017033375799655914,
-0.03899826481938362,
-0.002235063351690769,
0.013448198325932026,
-0.011648045852780342,
-0.03273554891347885,
0.04513996094465256,
0.04568454250693321,
-0.030799249187111855,
-0.000930803653318435,
-0.00016817338473629206,
-0.003940670285373926,
-0.006187079008668661,
0.03439955413341522,
0.01677621155977249,
0.007529629860073328,
0.008183887228369713,
-0.030436193570494652,
-0.014749148860573769,
-0.002866629511117935,
-0.01121691707521677,
0.023507874459028244,
-0.01012018509209156,
0.0017330250702798367
] |
1208_13 | Pattern formation and mathematical biology
When Turing was 39 years old in 1951, he turned to mathematical biology, finally publishing his masterpiece "The Chemical Basis of Morphogenesis" in January 1952. He was interested in morphogenesis, the development of patterns and shapes in biological organisms. He suggested that a system of chemicals reacting with each other and diffusing across space, termed a reaction–diffusion system, could account for "the main phenomena of morphogenesis". He used systems of partial differential equations to model catalytic chemical reactions. For example, if a catalyst A is required for a certain chemical reaction to take place, and if the reaction produced more of the catalyst A, then we say that the reaction is autocatalytic, and there is positive feedback that can be modelled by nonlinear differential equations. Turing discovered that patterns could be created if the chemical reaction not only produced catalyst A, but also produced an inhibitor B that slowed down the production of A. If A and B then diffused through the container at different rates, then you could have some regions where A dominated and some where B did. To calculate the extent of this, Turing would have needed a powerful computer, but these were not so freely available in 1951, so he had to use linear approximations to solve the equations by hand. These calculations gave the right qualitative results, and produced, for example, a uniform mixture that oddly enough had regularly spaced fixed red spots. The Russian biochemist Boris Belousov had performed experiments with similar results, but could not get his papers published because of the contemporary prejudice that any such thing violated the second law of thermodynamics. Belousov was not aware of Turing's paper in the Philosophical Transactions of the Royal Society. | [
0.0034659900702536106,
-0.016885407269001007,
0.03992936387658119,
-0.01702997460961342,
0.020947735756635666,
0.017102258279919624,
-0.0008294522995129228,
-0.05215971916913986,
-0.002777490532025695,
0.05739303678274155,
-0.02235003374516964,
-0.03050360456109047,
0.026903890073299408,
-0.01789737492799759,
0.0002884560381062329,
-0.0320938415825367,
-0.005479083396494389,
-0.04556747153401375,
-0.04016067087650299,
-0.0008823095704428852,
0.02889891341328621,
0.009201680310070515,
-0.03261427953839302,
-0.024764301255345345,
-0.02521245740354061,
0.027149653062224388,
0.050945356488227844,
-0.02036946825683117,
0.044786810874938965,
0.021713940426707268,
0.030301211401820183,
-0.00931733287870884,
0.042068950831890106,
-0.04510485753417015,
-0.012808622792363167,
-0.021713940426707268,
0.0193864144384861,
-0.06968121975660324,
0.017232367768883705,
-0.0436880998313427,
0.08263441175222397,
-0.03573692589998245,
0.019169563427567482,
-0.04224243387579918,
-0.04036306217312813,
-0.01037267129868269,
0.011890622787177563,
0.03741389885544777,
-0.03166013956069946,
-0.012512261047959328,
0.021930791437625885,
0.017362479120492935,
0.0055296821519732475,
-0.022089814767241478,
-0.012830307707190514,
-0.027988141402602196,
0.023651136085391045,
0.001685107359662652,
-0.053287338465452194,
0.027380960062146187,
0.018938256427645683,
0.009931742213666439,
0.0024196875747293234,
-0.017145628109574318,
0.020065877586603165,
0.04958643019199371,
0.010611206293106079,
0.002605817513540387,
-0.010625663213431835,
-0.0336262471973896,
-0.02531365491449833,
-0.03938001021742821,
-0.003144328948110342,
0.02730867825448513,
-0.0005032733315601945,
0.0070837754756212234,
0.002826281823217869,
-0.06551769375801086,
-0.016740841791033745,
-0.008471617475152016,
-0.010083537548780441,
0.006595862563699484,
-0.030069904401898384,
0.06470812112092972,
0.0009523340850137174,
-0.044150713831186295,
-0.005591122899204493,
0.06574900448322296,
-0.002772069303318858,
-0.018316619098186493,
0.05507997050881386,
0.029072392731904984,
0.015873439610004425,
0.03151557222008705,
0.057248473167419434,
0.025385938584804535,
-0.034175604581832886,
0.03423342853784561,
-0.005945311393588781,
0.002797368448227644,
0.042329173535108566,
0.10420378297567368,
-0.020542949438095093,
0.07476997375488281,
-0.04163525253534317,
0.0057935165241360664,
-0.02197416126728058,
0.048372067511081696,
-0.0053562019020318985,
-0.03189144656062126,
-0.002679907949641347,
0.037847600877285004,
-0.002323911990970373,
0.023506568744778633,
0.02891336940228939,
-0.013885646127164364,
0.036373019218444824,
0.018331076949834824,
-0.07343995571136475,
0.013191725127398968,
-0.0449892021715641,
0.028566408902406693,
0.0025281128473579884,
0.021265782415866852,
0.026253338903188705,
-0.004380375612527132,
-0.03189144656062126,
0.06852468848228455,
0.02954946458339691,
0.005883870646357536,
-0.017998572438955307,
-0.00605373689904809,
-0.014753046445548534,
0.014225377701222897,
0.015786699950695038,
0.027727920562028885,
-0.002999762073159218,
0.03038795106112957,
-0.013170040212571621,
-0.023867987096309662,
0.027511071413755417,
-0.029809683561325073,
-0.02434505708515644,
0.05765325948596001,
0.015396369621157646,
-0.020832082256674767,
0.017232367768883705,
0.008486074395477772,
-0.012888134457170963,
-0.006939208600670099,
-0.04883468151092529,
-0.02804596908390522,
0.0010517238406464458,
0.006848854478448629,
-0.037616293877363205,
0.030416864901781082,
-0.04510485753417015,
0.00919445138424635,
-0.012989331036806107,
-0.00037497025914490223,
-0.03510082885622978,
-0.026022031903266907,
0.013690480031073093,
0.019371958449482918,
0.008088515140116215,
0.005912784021347761,
-0.044410936534404755,
0.01235323678702116,
-0.010394356213510036,
-0.02460527792572975,
-0.008833033964037895,
0.003346722573041916,
-0.006494665518403053,
-0.016870951279997826,
0.06320462375879288,
0.029130220413208008,
0.031226439401507378,
-0.0016796860145404935,
-0.01567104645073414,
-0.007524704560637474,
-0.017622698098421097,
-0.040825676172971725,
0.02396918274462223,
0.0592724084854126,
-0.004102084320038557,
0.012880906462669373,
0.007640358060598373,
0.015092778950929642,
0.01567104645073414,
0.006440453231334686,
0.02879771590232849,
0.0336262471973896,
-0.09391062706708908,
-0.013712165877223015,
-0.013994070701301098,
0.06152765080332756,
0.002190187806263566,
0.03929327055811882,
-0.008601727895438671,
-0.0038418639451265335,
0.021338066086173058,
0.026253338903188705,
0.006270586978644133,
-0.0009442022419534624,
-0.039004135876894,
0.034406911581754684,
-0.014933755621314049,
0.06360941380262375,
-0.02521245740354061,
0.03061925806105137,
0.011413552798330784,
-0.032325148582458496,
0.017593786120414734,
0.04039197787642479,
0.005959768313914537,
0.005833272356539965,
-0.07020165771245956,
0.0284073855727911,
-0.015989093109965324,
0.0033792501781135798,
0.022798191756010056,
0.013936243951320648,
-0.021338066086173058,
0.0006966314977034926,
-0.004749021027237177,
-0.0007440674817189574,
0.00349128944799304,
0.06811989843845367,
0.03090839274227619,
0.050453830510377884,
0.0030142187606543303,
0.0296362042427063,
-0.018461186438798904,
0.013957928866147995,
0.021207956597208977,
-0.024865496903657913,
0.000292070209980011,
0.05239102616906166,
-0.006556106731295586,
0.007611444685608149,
-0.0032310690730810165,
-0.012808622792363167,
0.033655162900686264,
0.05262233316898346,
0.017507044598460197,
0.05907001346349716,
-0.003341301344335079,
-0.005150193814188242,
-0.04097024351358414,
0.012208670377731323,
-0.07442301511764526,
0.08801230043172836,
0.0013146547134965658,
-0.0316312275826931,
-0.03695128485560417,
0.011702686548233032,
0.011724371463060379,
0.014500054530799389,
-0.008695695549249649,
-0.038368042558431625,
0.017217911779880524,
0.010538923554122448,
0.027886945754289627,
-0.001996829640120268,
-0.008645097725093365,
0.04845880717039108,
-0.016263769939541817,
0.0260654017329216,
-0.05600519850850105,
-0.010336529463529587,
-0.06933426111936569,
-0.036373019218444824,
-0.09680195897817612,
0.005901941563934088,
-0.03943783789873123,
0.004846603609621525,
-0.001807085587643087,
-0.03053251840174198,
0.06806207448244095,
0.013769992627203465,
-0.02151154726743698,
-0.01246889028698206,
0.018085312098264694,
0.02161274291574955,
0.0031298722606152296,
-0.002117904368788004,
0.01155089121311903,
0.013047157786786556,
-0.04412180185317993,
0.027641180902719498,
-0.010401585139334202,
-0.04264722019433975,
-0.050569482147693634,
-0.018331076949834824,
0.05276690050959587,
0.028190534561872482,
0.007756011560559273,
-0.016610730439424515,
-0.026585843414068222,
-0.027467701584100723,
-0.029057936742901802,
-0.018735863268375397,
0.000391008157748729,
-0.002186573576182127,
-0.02865314856171608,
0.046405959874391556,
-0.000993897090665996,
-0.031920358538627625,
0.03938001021742821,
0.0074379644356667995,
-0.034406911581754684,
-0.04264722019433975,
-0.044410936534404755,
-0.015627676621079445,
-0.008536672219634056,
0.020716428756713867,
0.059619367122650146,
0.01890934444963932,
0.026961717754602432,
-0.056149762123823166,
-0.001095093903131783,
0.013155583292245865,
0.0005525164306163788,
0.003108187112957239,
-0.028017055243253708,
0.02298612892627716,
0.028479669243097305,
-0.02469201758503914,
0.011442465707659721,
-0.010126907378435135,
-0.017362479120492935,
0.04669509083032608,
-0.0030087975319474936,
0.029838597401976585,
-0.011832796037197113,
-0.018070856109261513,
0.0006013077218085527,
0.03533213585615158,
0.010661805048584938,
0.0016995640471577644,
0.006552492268383503,
-0.007821066305041313,
0.008710152469575405,
0.04840097948908806,
0.031313180923461914,
-0.014174779877066612,
0.0590411014854908,
-0.006295886356383562,
0.015989093109965324,
-0.010148592293262482,
-0.0008055084035731852,
0.038975223898887634,
-0.004412902984768152,
-0.027511071413755417,
-0.04681074619293213,
0.04571203887462616,
-0.02213318459689617,
-0.029722943902015686,
-0.04357244819402695,
0.03703802451491356,
-0.009649837389588356,
0.004665894899517298,
-0.005641721189022064,
0.007148830685764551,
-0.07702521979808807,
-0.04597225785255432,
0.0340888611972332,
0.0035906790290027857,
0.04073893651366234,
-0.03134209290146828,
-0.004311706405133009,
0.023636680096387863,
-0.03752955421805382,
-0.03591040521860123,
0.011681001633405685,
0.007690956350415945,
0.030098818242549896,
0.01730465143918991,
0.04594334587454796,
-0.02346319891512394,
0.0002900372492149472,
-0.013777220621705055,
0.016350509598851204,
0.03272993490099907,
0.005667020566761494,
0.028841085731983185,
0.006447681225836277,
0.039582401514053345,
-0.007936719805002213,
-0.018837060779333115,
-0.01297487411648035,
-0.021323610097169876,
0.008045145310461521,
-0.037616293877363205,
-0.02136697992682457,
-0.0044454303570091724,
0.050569482147693634,
0.07702521979808807,
-0.019458698108792305,
0.012447205372154713,
0.02644127607345581,
-0.02223438024520874,
-0.027843574061989784,
0.030069904401898384,
-0.013856732286512852,
0.02185850776731968,
-0.0545884408056736,
0.012121929787099361,
0.021699484437704086,
-0.007401822600513697,
-0.021771768108010292,
-0.006422382313758135,
0.038107819855213165,
-0.023318633437156677,
0.06401420384645462,
-0.01607583276927471,
-0.037847600877285004,
-0.012562858872115612,
-0.023390915244817734,
0.003896076465025544,
-0.09217581897974014,
-0.02077425643801689,
0.03272993490099907,
0.049123816192150116,
-0.003852706402540207,
-0.030705997720360756,
0.007011492270976305,
-0.020195988938212395,
0.034291256219148636,
0.006552492268383503,
0.04073893651366234,
-0.0029094077181071043,
0.010061852633953094,
0.005486311856657267,
-0.04941294714808464,
0.005048997234553099,
0.042300257831811905,
-0.07448083907365799,
-0.0029690416995435953,
-0.024373970925807953,
0.018359988927841187,
0.03969805687665939,
-0.010828057304024696,
0.00031669175950810313,
-0.0013571212766692042,
0.01914065144956112,
0.028479669243097305,
0.045278336852788925,
-0.04770705848932266,
-0.0029347070958465338,
-0.002777490532025695,
-0.0264123622328043,
0.03484060987830162,
-0.01123284362256527,
-0.012721882201731205,
0.009563096798956394,
0.000638804747723043,
-0.0019010540563613176,
0.02407038025557995,
-0.019704461097717285,
-0.04840097948908806,
0.01290259137749672,
0.014919298700988293,
-0.03134209290146828,
-0.040565457195043564,
0.03469604253768921,
0.037616293877363205,
0.06002415344119072,
0.0030142187606543303,
0.03270101919770241,
-0.007821066305041313,
-0.019733374938368797,
-0.003899690695106983,
-0.06470812112092972,
0.03732715919613838,
-0.008240310475230217,
0.0015342156402766705,
-0.031226439401507378,
-0.001944424118846655,
-0.018750319257378578,
0.0015694538597017527,
0.028204992413520813,
-0.009938971139490604,
-0.023665592074394226,
0.00901374313980341,
-0.007893349975347519,
-0.02557387575507164,
-0.017015518620610237,
-0.05629432946443558,
-0.005551367066800594,
0.046001169830560684,
0.018923800438642502,
-0.021771768108010292,
0.013300149701535702,
-0.024388426914811134,
0.006671760231256485,
-0.03862826153635979,
-0.035014089196920395,
-0.007878893055021763,
0.019343044608831406,
0.009331789799034595,
0.013610968366265297,
0.006209146231412888,
-0.020051421597599983,
-0.0313999205827713,
0.006903066765516996,
-0.013950700871646404,
-0.04776488617062569,
-0.022277751937508583,
-0.011442465707659721,
-0.024518538266420364,
-0.08500530570745468,
0.0011583418818190694,
-0.02865314856171608,
0.046377044171094894,
0.004608068149536848,
0.018331076949834824,
0.010278702713549137,
-0.028262818232178688,
0.05594737082719803,
0.0034171987790614367,
-0.027453243732452393,
0.014500054530799389,
0.06152765080332756,
-0.0024160733446478844,
-0.001106839976273477,
0.014875928871333599,
-0.05025143548846245,
-0.02531365491449833,
-0.05557149648666382,
0.020730886608362198,
-0.08911100775003433,
-0.026282252743840218,
-0.031081872060894966,
0.01210747379809618,
-0.01718899793922901,
0.012960418127477169,
0.03235406056046486,
-0.038715001195669174,
-0.02558833174407482,
-0.0590411014854908,
-0.042184606194496155,
0.03258536756038666,
0.003957517445087433,
-0.045047029852867126,
-0.01580115593969822,
-0.035014089196920395,
0.04825641214847565,
-0.00901374313980341,
-0.03793434053659439,
0.017723895609378815,
0.02311623841524124,
-0.017955202609300613,
-0.0007282554870471358,
-0.00000886601355887251,
-0.009931742213666439,
-0.013198953121900558,
0.0525934174656868,
0.009158309549093246,
0.07771913707256317,
0.011630402877926826,
-0.007127145770937204,
-0.011984591372311115,
0.015251802280545235,
-0.011587033048272133,
-0.029448267072439194,
0.0034298484679311514,
0.000666814565192908,
0.07430735975503922,
-0.0203839261084795,
-0.012548401951789856,
-0.021092303097248077,
0.01155811920762062,
0.03591040521860123,
0.028335101902484894,
-0.039090875536203384,
-0.03359733521938324,
-0.04047871753573418,
-0.06713684648275375,
0.03640193119645119,
0.007647586055099964,
-0.031920358538627625,
-0.038743916898965836,
-0.017391391098499298,
0.05493540316820145,
-0.07153167575597763,
0.005153808277100325,
0.0272942204028368,
0.01149306446313858,
-0.0005339938215911388,
-0.0009360703406855464,
-0.012880906462669373,
-0.035043004900217056,
-0.019111737608909607,
0.001951652462594211,
0.03611280024051666,
-0.03299015387892723,
-0.011652087792754173,
0.01753595843911171,
-0.0723990797996521,
-0.0030774667393416166,
0.06297332048416138,
0.020036965608596802,
-0.008601727895438671,
0.05415474250912666,
-0.03064817190170288,
-0.020036965608596802,
-0.009035428054630756,
0.02221992425620556,
-0.027323134243488312,
0.02889891341328621,
-0.013292921707034111,
-0.004532170481979847,
0.025891922414302826,
-0.03605497255921364,
0.0012423713924363256,
-0.10992863029241562,
0.000311270501697436,
0.03475387021899223,
-0.016133660450577736,
-0.028233906254172325,
-0.005544138606637716,
-0.0007485852111130953,
-0.02657138742506504,
-0.016148116439580917,
-0.0024883567821234465,
-0.00777769647538662,
-0.014904841780662537,
-0.023622222244739532,
0.008254767395555973,
0.03359733521938324,
-0.024735387414693832,
-0.006921137683093548,
0.036748893558979034,
0.021583830937743187,
-0.021092303097248077,
-0.022393405437469482,
0.013878417201340199,
-0.05051165819168091,
0.059330232441425323,
0.06482377648353577,
-0.006136862561106682,
-0.026643669232726097,
-0.02680269442498684,
-0.007459649350494146,
-0.010416041128337383,
-0.013271236792206764,
0.010097994469106197,
0.0086378687992692,
-0.011840024963021278,
0.0548197478055954,
-0.001730284420773387,
0.0017293809214606881,
-0.004918886814266443,
-0.03394429758191109,
0.018981626257300377,
0.005880256649106741,
-0.03356842324137688,
-0.025154631584882736,
0.01532408595085144,
0.028508583083748817,
-0.0069789644330739975,
-0.05288255214691162,
-0.057855650782585144,
0.005851343274116516,
0.019068367779254913,
-0.06066025048494339,
-0.04958643019199371,
-0.042560480535030365,
-0.07268821448087692,
-0.03446473553776741,
-0.054299306124448776,
-0.010300387628376484,
-0.011196702718734741,
-0.004543013405054808,
-0.0015875246608629823,
0.0001397103042108938,
-0.03446473553776741,
0.03061925806105137,
0.012627914547920227,
0.06852468848228455,
-0.008543901145458221,
-0.029245873913168907,
-0.05080078914761543,
0.0019245462026447058,
-0.016119202598929405,
-0.004373147152364254,
-0.01776726543903351,
0.04374592751264572,
-0.026860520243644714,
-0.006277815438807011,
-0.03293232619762421,
0.047880541533231735,
-0.009049884974956512,
-0.02039838209748268,
0.03382864221930504,
-0.007080161478370428,
-0.004022572655230761,
0.005735689774155617,
-0.006332027725875378,
0.008710152469575405,
-0.020918823778629303,
-0.0135314567014575,
0.017217911779880524,
0.009852230548858643,
-0.035650186240673065,
-0.02791585773229599,
-0.0029166361782699823,
0.017232367768883705,
-0.05360538884997368,
0.008601727895438671,
0.0318625345826149,
0.034406911581754684,
-0.0387728288769722,
0.004304477944970131,
-0.007756011560559273,
0.02843629941344261,
-0.011377410963177681,
-0.017348021268844604,
0.03591040521860123,
0.06343593448400497,
0.001374288578517735,
-0.02876880206167698,
0.009230593219399452,
-0.023665592074394226,
-0.019979137927293777,
0.0029130219481885433,
-0.014406085945665836,
-0.022653624415397644,
-0.02112121693789959,
-0.012982103042304516,
0.005840500816702843,
0.022942759096622467,
-0.02496669441461563,
0.025414852425456047,
0.0067079016007483006,
0.02853749506175518,
-0.03521648421883583,
0.04282069951295853,
0.0042864070273935795,
-0.0020311642438173294,
-0.007849980145692825,
-0.03293232619762421,
-0.02175731025636196,
-0.07274603843688965,
-0.023376459255814552,
0.013798905536532402,
-0.0565834641456604,
-0.030850565060973167,
0.001341761089861393,
-0.011059364303946495,
-0.05591845512390137,
0.008355963975191116,
-0.027352048084139824,
-0.023405373096466064,
0.01252671703696251,
0.05163927748799324,
-0.00107973359990865,
-0.0025805181358009577,
0.0042791785672307014,
0.008688467554748058,
-0.018128681927919388,
-0.01642279326915741,
0.004098470322787762,
0.005970610771328211,
0.039235442876815796,
-0.012801394797861576,
0.030792739242315292,
-0.012779708951711655,
-0.0013571212766692042,
-0.021323610097169876,
-0.029477180913090706,
-0.02447516657412052,
-0.0031949272379279137,
-0.01358928345143795,
-0.013423032127320766,
0.03166013956069946,
-0.03845478221774101,
0.03475387021899223,
-0.006834397558122873,
0.019082823768258095,
-0.008551129139959812,
0.007517476100474596,
0.0059236264787614346,
0.025140175595879555,
-0.0030286754481494427,
0.030734911561012268,
0.06644292175769806,
-0.009252278134226799,
0.039726968854665756,
0.0013896487653255463,
0.052188631147146225,
0.03264319524168968,
0.019502067938447,
-0.014861471951007843,
0.03640193119645119,
0.019371958449482918,
0.01705888845026493,
0.029072392731904984,
0.011601489968597889,
0.029867511242628098,
-0.011919536627829075,
0.03154448792338371,
0.015743330121040344,
-0.005146579816937447,
0.011384638957679272,
0.0005412221071310341,
-0.031081872060894966,
0.03842586651444435,
0.00001299548694078112,
0.0041743675246834755,
0.01804194226861,
-0.00011311226262478158,
-0.022321121767163277,
0.0024106521159410477,
-0.05192841216921806,
0.030040990561246872,
-0.004373147152364254,
-0.03536105155944824,
-0.036748893558979034,
-0.03420451655983925,
0.056149762123823166,
0.00020228064386174083,
0.011890622787177563,
0.0405365452170372,
0.046377044171094894,
0.03475387021899223,
-0.025241371244192123,
0.016697470098733902,
-0.0005665213102474809,
-0.05077187716960907,
-0.02359331026673317,
0.07083775848150253,
0.0627998411655426,
0.04510485753417015,
0.012620685622096062,
-0.04201112687587738,
-0.015974637120962143,
0.04516268149018288,
-0.026108773425221443,
-0.026874976232647896,
0.018692493438720703,
-0.006162161938846111,
0.030445778742432594,
-0.05909892916679382,
0.02469201758503914,
-0.006010366603732109,
0.02334754541516304,
0.029867511242628098,
-0.014875928871333599,
-0.05123449116945267,
0.02248014509677887,
-0.027352048084139824,
0.06609596312046051,
0.0028913370333611965,
0.02865314856171608,
-0.027323134243488312,
-0.015873439610004425,
0.05967719480395317,
-0.017810635268688202,
-0.006154933478683233,
-0.029101306572556496,
-0.018070856109261513,
0.0028425457421690226,
0.00957755371928215,
-0.018822602927684784,
0.022191010415554047,
-0.03570801019668579,
-0.009179994463920593,
-0.015049409121274948,
-0.01702997460961342,
-0.052304286509752274,
0.021583830937743187,
-0.0429941788315773,
0.030474690720438957,
0.0007811127579770982,
0.018200965598225594,
0.018331076949834824,
0.0023654750548303127,
0.02002250775694847,
0.04579877853393555,
-0.010112451389431953,
-0.005052611231803894,
-0.010220875963568687,
-0.029665116220712662,
-0.005623650271445513,
-0.0016417372971773148,
-0.01081360038369894,
0.002170309890061617,
-0.023781245574355125,
-0.018374446779489517,
-0.04351462051272392,
-0.022827105596661568,
-0.006303114350885153,
0.05510888248682022,
0.030966218560934067,
0.020557405427098274,
0.0385415218770504,
-0.03744281455874443,
-0.0022172939497977495,
0.06644292175769806,
0.023521026596426964,
0.026094315573573112,
0.028580864891409874,
0.043803755193948746,
-0.00037451848038472235,
0.0031569786369800568,
0.0036991043016314507,
0.027756834402680397,
0.007333153393119574,
-0.007915034890174866,
-0.030590344220399857,
-0.029245873913168907,
-0.03061925806105137,
-0.036633238196372986,
0.007199428975582123,
0.03220949321985245,
0.045133769512176514,
-0.017232367768883705,
-0.029665116220712662,
-0.0015549971722066402,
-0.04357244819402695,
-0.034320168197155,
-0.03446473553776741,
0.05606302246451378,
0.012317095883190632,
-0.02843629941344261,
0.029867511242628098,
-0.03469604253768921,
0.24518537521362305,
0.09766936302185059,
0.04073893651366234,
-0.0018486485350877047,
0.05250667780637741,
0.03929327055811882,
0.015613219700753689,
-0.019545437768101692,
0.0003523816994857043,
0.015425282530486584,
0.008066830225288868,
-0.007618672680109739,
-0.0018161210464313626,
-0.0036991043016314507,
0.016350509598851204,
-0.008681239560246468,
-0.02843629941344261,
0.021150128915905952,
-0.03611280024051666,
-0.03680672124028206,
-0.03246971219778061,
0.032325148582458496,
0.012664055451750755,
-0.04978882148861885,
0.0013995878398418427,
-0.009035428054630756,
0.02531365491449833,
-0.035274311900138855,
-0.025501592084765434,
-0.018851516768336296,
-0.026397906243801117,
0.009107711724936962,
0.00790057796984911,
-0.016364967450499535,
-0.01155811920762062,
0.038107819855213165,
-0.0074162790551781654,
0.03012773022055626,
-0.012396607547998428,
0.010618435218930244,
0.02790140174329281,
-0.012338780798017979,
-0.011182245798408985,
0.005811587441712618,
0.01123284362256527,
0.012880906462669373,
-0.015034952200949192,
0.007387366145849228,
0.011760513298213482,
-0.03533213585615158,
-0.0019426170038059354,
-0.05340299382805824,
0.012418292462825775,
-0.03027229756116867,
-0.04334114119410515,
-0.02558833174407482,
0.04137503355741501,
-0.0264123622328043,
-0.03669106587767601,
0.005840500816702843,
0.036517586559057236,
-0.019950224086642265,
0.0318625345826149,
0.0454518161714077,
-0.00024102003953885287,
-0.0019408098887652159,
0.009685979224741459,
0.056525636464357376,
-0.0432254858314991,
0.04805402085185051,
-0.0008303558570332825,
-0.027626724913716316,
-0.018952714279294014,
-0.04432419687509537,
0.02323189191520214,
-0.026773780584335327,
-0.04715770483016968,
0.04175090417265892,
0.006960893515497446,
-0.02596420608460903,
-0.0014447649009525776,
0.003903304925188422,
0.02901456691324711,
-0.015251802280545235,
0.03411777690052986,
0.01019196305423975,
0.00919445138424635,
-0.00623444514349103,
-0.016899865120649338,
0.0045213280245661736,
0.04779379814863205,
0.023448742926120758,
0.026773780584335327,
-0.0313999205827713,
0.011760513298213482
] |
1208_14 | Although published before the structure and role of DNA was understood, Turing's work on morphogenesis remains relevant today and is considered a seminal piece of work in mathematical biology. One of the early applications of Turing's paper was the work by James Murray explaining spots and stripes on the fur of cats, large and small. Further research in the area suggests that Turing's work can partially explain the growth of "feathers, hair follicles, the branching pattern of lungs, and even the left-right asymmetry that puts the heart on the left side of the chest." In 2012, Sheth, et al. found that in mice, removal of Hox genes causes an increase in the number of digits without an increase in the overall size of the limb, suggesting that Hox genes control digit formation by tuning the wavelength of a Turing-type mechanism. Later papers were not available until Collected Works of A. M. Turing was published in 1992.
Personal life
Engagement
In 1941, Turing proposed marriage to Hut 8 colleague Joan Clarke, a fellow mathematician and cryptanalyst, but their engagement was short-lived. After admitting his homosexuality to his fiancée, who was reportedly "unfazed" by the revelation, Turing decided that he could not go through with the marriage.
Conviction for indecency
In January 1952, Turing was 39 when he started a relationship with Arnold Murray, a 19-year-old unemployed man. Just before Christmas, Turing was walking along Manchester's Oxford Road when he met Murray just outside the Regal Cinema and invited him to lunch. On 23 January, Turing's house was burgled. Murray told Turing that he and the burglar were acquainted, and Turing reported the crime to the police. During the investigation, he acknowledged a sexual relationship with Murray. Homosexual acts were criminal offences in the United Kingdom at that time, and both men were charged with "gross indecency" under Section 11 of the Criminal Law Amendment Act 1885. Initial committal proceedings for the trial were held on 27 February during which Turing's solicitor "reserved his defence", i.e., did not argue or provide evidence against the allegations. | [
0.03600931167602539,
-0.03345722332596779,
0.017195457592606544,
-0.020478934049606323,
-0.03448428213596344,
-0.025318561121821404,
-0.03439091518521309,
-0.04111348092556,
0.006076765712350607,
0.023420056328177452,
-0.010698530822992325,
-0.0416114516556263,
0.017662301659584045,
-0.047120220959186554,
-0.016479628160595894,
-0.0416736975312233,
0.009850429370999336,
-0.01580270379781723,
0.007827434688806534,
-0.003090902930125594,
0.056394875049591064,
0.009951579384505749,
-0.031216368079185486,
-0.006633089389652014,
-0.032274551689624786,
0.03323936462402344,
0.02533412165939808,
-0.011476606130599976,
0.06604300439357758,
0.01926513761281967,
0.04326096922159195,
0.02545861341059208,
0.03756546229124069,
-0.05334481969475746,
0.0029586302116513252,
-0.03467101976275444,
0.01589607261121273,
-0.023824656382203102,
0.030282678082585335,
-0.04294973984360695,
0.03597818687558174,
-0.03759658336639404,
0.019140643998980522,
-0.03445316106081009,
-0.04350995272397995,
-0.013779708184301853,
0.02111695520579815,
0.029722465202212334,
-0.02533412165939808,
-0.022626420482993126,
0.009484734386205673,
-0.02766834758222103,
0.03787669166922569,
-0.010091632604598999,
0.02967577986419201,
-0.058355625718832016,
0.0041276877745985985,
0.019374066963791847,
-0.03439091518521309,
0.026221126317977905,
0.014651152305305004,
0.013336204923689365,
-0.008286498486995697,
-0.026314496994018555,
0.037907812744379044,
0.024913961067795753,
0.01366299670189619,
-0.0077612982131540775,
-0.01570933498442173,
-0.011515510268509388,
0.027621662244200706,
-0.028057383373379707,
-0.03088957630097866,
0.00045371497981250286,
-0.022470805794000626,
-0.01882941462099552,
-0.007310014683753252,
-0.02735711634159088,
-0.02958241105079651,
0.0423584021627903,
0.005057487636804581,
-0.014985724352300167,
-0.019996527582406998,
0.04624877870082855,
0.0037191985175013542,
-0.0421716645359993,
0.03333273157477379,
0.07525541633367538,
-0.023373372852802277,
-0.011313210241496563,
0.0414869599044323,
0.022035084664821625,
0.009375804103910923,
0.03576032817363739,
0.03812567517161369,
0.024758346378803253,
-0.047493696212768555,
0.006594185717403889,
-0.008916739374399185,
-0.04307423159480095,
0.03411080688238144,
0.056021399796009064,
-0.04294973984360695,
0.0868954136967659,
0.016448505222797394,
0.03544909507036209,
-0.03101406991481781,
0.03523123636841774,
-0.0036978013813495636,
0.005543784238398075,
0.007819653488695621,
0.016261767596006393,
0.0033359965309500694,
0.002345896093174815,
0.02548973634839058,
0.015514815226197243,
0.004859078209847212,
0.03398631513118744,
-0.05272236093878746,
-0.00158338260371238,
-0.010488450527191162,
0.010317274369299412,
0.029100004583597183,
0.039930809289216995,
-0.00932133849710226,
-0.022595297545194626,
-0.024400431662797928,
0.03358171507716179,
0.00824759528040886,
-0.01364743523299694,
-0.013048317283391953,
0.01655743643641472,
-0.032274551689624786,
-0.025038452818989754,
-0.0016962034860625863,
-0.005034144967794418,
0.01633957400918007,
0.05449637398123741,
-0.0015804647700861096,
-0.029348988085985184,
0.016635242849588394,
-0.010877488180994987,
-0.031371984630823135,
0.08029733598232269,
0.02055674046278,
0.015756018459796906,
-0.030033694580197334,
-0.009873772040009499,
-0.03205668926239014,
0.00006935808778507635,
-0.0462176539003849,
-0.009694814682006836,
0.0004267255135346204,
0.02741936221718788,
-0.012262461706995964,
0.019047275185585022,
-0.055679045617580414,
-0.014581125229597092,
0.019451875239610672,
0.012962729670107365,
-0.048458509147167206,
-0.0008646358619444072,
-0.00783910509198904,
0.05412289500236511,
0.0018119420856237411,
0.0074383970350027084,
-0.03482663631439209,
0.013273959048092365,
0.006006739102303982,
-0.0009084025514312088,
-0.016884228214621544,
0.017164334654808044,
-0.032025568187236786,
0.003090902930125594,
0.06115669384598732,
0.039681825786828995,
-0.00211636396124959,
-0.0077535174787044525,
-0.019031714648008347,
-0.040646638721227646,
-0.01830032467842102,
0.0004602799890562892,
0.03067171573638916,
0.014254333451390266,
-0.03299038112163544,
-0.013071659952402115,
0.011461044661700726,
-0.02629893459379673,
-0.0059250411577522755,
-0.024789469316601753,
0.008893396705389023,
0.024213694036006927,
-0.04568856209516525,
0.002762166317552328,
0.017444441094994545,
0.0423584021627903,
-0.017817918211221695,
0.027870645746588707,
-0.014503317885100842,
-0.005621591582894325,
-0.0013908090768381953,
0.025692036375403404,
0.04133134335279465,
0.019887596368789673,
-0.03345722332596779,
-0.004497273359447718,
0.038748133927583694,
0.07674931734800339,
-0.007780749816447496,
0.026470111683011055,
0.03311487287282944,
-0.0221751369535923,
0.0431053526699543,
0.02670353278517723,
0.011375456117093563,
0.03541797399520874,
-0.06106332689523697,
0.019872035831212997,
-0.05234888568520546,
0.0451594740152359,
-0.005010802764445543,
0.018347008153796196,
0.007041578646749258,
-0.007570669520646334,
-0.02282872051000595,
-0.007955816574394703,
0.03299038112163544,
0.05910257622599602,
0.011282087303698063,
0.05213102325797081,
-0.0020638438872992992,
0.06252610683441162,
-0.018378131091594696,
-0.014845671132206917,
0.013305081985890865,
-0.015312516130506992,
-0.0217705387622118,
0.04456813633441925,
-0.018440376967191696,
0.029442356899380684,
-0.03302150219678879,
-0.003843690501525998,
0.030158186331391335,
0.023155512288212776,
0.028835458680987358,
0.058013271540403366,
-0.0024898399133235216,
0.006049532908946276,
-0.03299038112163544,
0.022190699353814125,
-0.04413241520524025,
0.040024176239967346,
-0.025162944570183754,
0.006022300571203232,
-0.047400329262018204,
0.019591927528381348,
0.0441012904047966,
0.007345027755945921,
0.0020832957234233618,
-0.0470268540084362,
-0.02261085994541645,
0.01114981435239315,
0.019062837585806847,
-0.00832540262490511,
0.015499253757297993,
0.05303359031677246,
0.028851021081209183,
0.013273959048092365,
-0.0433543398976326,
-0.015538157895207405,
-0.05922706797719002,
-0.03666289523243904,
-0.09399145841598511,
0.009842649102210999,
-0.06535829603672028,
-0.019778667017817497,
-0.04519059509038925,
-0.013040537014603615,
0.07780750095844269,
-0.0028438640292733908,
-0.00230699242092669,
-0.02552085928618908,
0.0013528779381886125,
0.032274551689624786,
0.025941019877791405,
-0.031745459884405136,
-0.023886902257800102,
0.0218950305134058,
-0.01447997521609068,
0.03439091518521309,
-0.0026629616040736437,
-0.040428776293992996,
-0.07114717364311218,
-0.018876099959015846,
0.05091722682118416,
0.02471166104078293,
0.000168623446370475,
0.02895995043218136,
-0.0458441786468029,
-0.014651152305305004,
-0.006022300571203232,
-0.010317274369299412,
0.0029275070410221815,
-0.02108583226799965,
-0.007932474836707115,
0.05116621032357216,
0.02626781165599823,
-0.039308346807956696,
0.05038813501596451,
0.02517850697040558,
-0.03032936342060566,
-0.025007329881191254,
-0.004781270865350962,
0.0041043455712497234,
-0.03057834692299366,
0.06430011987686157,
0.02639230340719223,
0.03778332099318504,
0.024415994063019753,
-0.0434788316488266,
-0.004567299969494343,
0.0001316648704232648,
-0.018689360469579697,
-0.01271374523639679,
-0.012114627286791801,
0.03467101976275444,
-0.0050069126300513744,
-0.04282524809241295,
0.0013791379751637578,
0.00631796894595027,
-0.05882246792316437,
0.020510056987404823,
-0.007251658942550421,
0.015662649646401405,
-0.001113619888201356,
-0.002941123442724347,
0.04201604798436165,
0.016292890533804893,
0.023809093981981277,
-0.026781341060996056,
-0.01854930818080902,
-0.023264441639184952,
0.005606030113995075,
0.03482663631439209,
-0.01358518935739994,
0.0007746709161438048,
0.030593909323215485,
-0.011235402897000313,
-0.0030695057939738035,
-0.011313210241496563,
-0.029037758708000183,
0.03092069923877716,
-0.004575081169605255,
-0.0205256175249815,
-0.05409177392721176,
0.06728792190551758,
-0.013452916406095028,
-0.021941713988780975,
-0.030593909323215485,
0.028072945773601532,
-0.026532357558608055,
0.029597973451018333,
0.004808503668755293,
0.021723853424191475,
-0.07867894321680069,
-0.013904199935495853,
-0.004594532772898674,
-0.03401743993163109,
0.047929421067237854,
-0.014433290809392929,
0.008644413203001022,
0.017475564032793045,
-0.03588481992483139,
0.0021533225663006306,
0.005866685416549444,
0.020370002835989,
0.02773059345781803,
0.0036161034367978573,
0.041362468153238297,
-0.029535727575421333,
0.021194763481616974,
-0.0063062976114451885,
-0.0014063705457374454,
0.02983139455318451,
-0.038561396300792694,
0.02695251815021038,
0.0019237904343754053,
0.021817222237586975,
0.0023692382965236902,
0.003974018152803183,
-0.03057834692299366,
0.022750912234187126,
0.00837208703160286,
-0.05418514087796211,
-0.023217758163809776,
-0.010068289935588837,
0.06115669384598732,
0.047742679715156555,
-0.014402167871594429,
0.004835736006498337,
0.05362492799758911,
-0.0018333392217755318,
-0.03017374873161316,
0.04643551632761955,
-0.02524075284600258,
-0.00862107053399086,
-0.05402952805161476,
0.02961353398859501,
-0.008302059955894947,
-0.009344680234789848,
-0.019202889874577522,
0.018953906372189522,
0.03744096681475639,
0.007294453214854002,
0.06339754909276962,
-0.01926513761281967,
-0.06380215287208557,
-0.029084444046020508,
-0.007162180263549089,
0.019436312839388847,
-0.047369204461574554,
-0.012690403498709202,
0.02533412165939808,
0.014075377024710178,
0.02520962990820408,
-0.020790163427591324,
-0.0009852374205365777,
-0.031496476382017136,
0.014604467898607254,
-0.011422140523791313,
0.03576032817363739,
-0.03144979104399681,
-0.00642689922824502,
-0.028321929275989532,
-0.013149467296898365,
0.01739775761961937,
0.018658237531781197,
0.013063878752291203,
-0.0111342528834939,
-0.014472194947302341,
0.013733023777604103,
0.01752224937081337,
-0.0218950305134058,
-0.011538852006196976,
-0.02899107336997986,
0.0035149536561220884,
0.0426696315407753,
0.04556407034397125,
-0.013958665542304516,
0.0020599535200744867,
0.038717012852430344,
-0.04114460572600365,
0.0452839657664299,
-0.0460309162735939,
0.00763680599629879,
-0.0031803816091269255,
-0.0018654348095878959,
0.006788704078644514,
0.00458286190405488,
-0.023793533444404602,
-0.019623050466179848,
-0.002876932267099619,
0.015584842301905155,
-0.05396728217601776,
-0.0117411520332098,
0.06364653259515762,
0.019591927528381348,
0.011943451128900051,
-0.013196151703596115,
0.03280363976955414,
-0.00034600021899677813,
-0.006123450119048357,
0.002437319839373231,
-0.03445316106081009,
0.030095940455794334,
0.00271353661082685,
0.020152142271399498,
-0.0422961562871933,
0.011258745566010475,
-0.05322032794356346,
-0.014581125229597092,
0.009438049979507923,
-0.014596686698496342,
0.00415492057800293,
-0.008597728796303272,
-0.023622356355190277,
-0.026065511628985405,
-0.022968774661421776,
-0.030033694580197334,
0.018985029309988022,
0.032274551689624786,
0.032087814062833786,
-0.0020113238133490086,
0.011499948799610138,
-0.004835736006498337,
0.030936261638998985,
-0.03635166212916374,
-0.0435410775244236,
0.014775644056499004,
0.010122755542397499,
0.013880858197808266,
-0.00642689922824502,
0.010371739976108074,
0.0031103547662496567,
0.00556712644174695,
-0.015125777572393417,
-0.011554413475096226,
-0.009539199061691761,
-0.011686686426401138,
-0.007885790430009365,
-0.004960228223353624,
-0.05306471511721611,
0.004633436445146799,
-0.02670353278517723,
0.048863109201192856,
0.011873424053192139,
0.05941380560398102,
-0.010970856994390488,
-0.025318561121821404,
0.02745048515498638,
0.041237972676754,
-0.03548021987080574,
0.028819898143410683,
0.05238000676035881,
-0.012278023175895214,
0.01854930818080902,
0.024229254573583603,
-0.07861669361591339,
-0.028586475178599358,
-0.06579402089118958,
0.03271027281880379,
-0.07189413160085678,
-0.05396728217601776,
-0.06165466085076332,
0.03579144924879074,
-0.015981661155819893,
0.00844989437609911,
0.005384278949350119,
-0.0044428082183003426,
-0.012993852607905865,
-0.039121609181165695,
0.006983222905546427,
0.02114807814359665,
0.012441419064998627,
-0.05381166562438011,
-0.029815834015607834,
0.0009424433228559792,
0.04668449983000755,
-0.027901768684387207,
-0.0110720070078969,
0.007671819534152746,
0.030376046895980835,
-0.011422140523791313,
0.0072244261391460896,
-0.019685298204421997,
-0.01090083085000515,
-0.018938345834612846,
0.039090488106012344,
-0.006197367329150438,
0.06759915500879288,
-0.009640349075198174,
0.007002674974501133,
0.015919413417577744,
-0.03165208920836449,
-0.026781341060996056,
-0.0422961562871933,
-0.03261690214276314,
-0.017911287024617195,
0.06996450573205948,
-0.02251749113202095,
0.02689027227461338,
-0.00941470731049776,
0.009865990839898586,
0.006932648364454508,
0.006197367329150438,
-0.02267310582101345,
-0.022813158109784126,
-0.03392406925559044,
-0.04456813633441925,
0.06333530694246292,
0.011764493770897388,
-0.018409254029393196,
0.00843433290719986,
0.01374080404639244,
0.03644503280520439,
-0.0845300704240799,
-0.00466066924855113,
0.05916482210159302,
-0.022159576416015625,
-0.00829427968710661,
0.01341401319950819,
0.015724895521998405,
-0.026936955749988556,
-0.040459901094436646,
-0.013359547592699528,
-0.0012653444427996874,
-0.03529348224401474,
0.0030714510940015316,
-0.02464941516518593,
-0.07027573138475418,
-0.004936886020004749,
0.029271181672811508,
0.02664128690958023,
0.02254861406981945,
0.04189155623316765,
-0.021381501108407974,
0.009391365572810173,
-0.021786099299788475,
0.023886902257800102,
-0.055274445563554764,
0.026470111683011055,
0.02136593870818615,
0.0068665118888020515,
0.020416688174009323,
-0.016697488725185394,
-0.007014345843344927,
-0.11776942759752274,
-0.041300222277641296,
0.02257973700761795,
0.001803188817575574,
-0.03644503280520439,
0.008862273767590523,
-0.010527354665100574,
-0.03323936462402344,
-0.009360241703689098,
-0.0234511811286211,
-0.047991666942834854,
-0.026034388691186905,
-0.0436655692756176,
0.002703810576349497,
0.03364396095275879,
-0.01350738201290369,
-0.0034624338150024414,
0.049049846827983856,
0.03261690214276314,
-0.00846545584499836,
0.007916913367807865,
0.005252005998045206,
-0.013686339370906353,
0.03762770816683769,
0.0865841880440712,
0.0032270660158246756,
-0.014316580258309841,
-0.02464941516518593,
0.02536524459719658,
0.03135642036795616,
-0.008698878809809685,
0.016479628160595894,
-0.020634548738598824,
-0.009134599938988686,
0.0461554080247879,
0.009772622026503086,
-0.01016943994909525,
-0.03541797399520874,
-0.028851021081209183,
0.049859046936035156,
0.002305047120898962,
-0.006788704078644514,
-0.02657904103398323,
0.008473237045109272,
-0.013577408157289028,
0.0016582723474130034,
-0.0459686703979969,
-0.0428563691675663,
0.03423529863357544,
0.007321685552597046,
-0.03264802694320679,
-0.02626781165599823,
-0.03345722332596779,
-0.0875178724527359,
-0.04575080797076225,
-0.04537733271718025,
-0.01627732813358307,
-0.028212999925017357,
0.01742888055741787,
-0.018004655838012695,
-0.03104519285261631,
-0.05191316455602646,
0.06847059726715088,
-0.06296183168888092,
0.06467359513044357,
-0.0074928621761500835,
0.011219841428101063,
-0.049578938633203506,
0.015421446412801743,
0.010122755542397499,
-0.03641390800476074,
-0.049392201006412506,
0.009484734386205673,
-0.021661607548594475,
-0.006236271001398563,
-0.030718401074409485,
0.03579144924879074,
0.0008719302713871002,
-0.010729653760790825,
0.014620029367506504,
-0.01680641993880272,
-0.03271027281880379,
0.007029907312244177,
0.022595297545194626,
-0.011064226739108562,
0.010418424382805824,
0.03675626218318939,
0.03317711874842644,
0.017475564032793045,
-0.027683908119797707,
-0.020634548738598824,
-0.006209038197994232,
0.001325645251199603,
-0.05048150569200516,
0.023373372852802277,
0.028819898143410683,
0.027154816314578056,
-0.04294973984360695,
-0.01858043111860752,
-0.01265149936079979,
-0.004684011451900005,
-0.023886902257800102,
-0.005928931292146444,
0.00017008233407977968,
0.056270383298397064,
0.02961353398859501,
-0.031932197511196136,
0.011780055239796638,
0.007037688512355089,
0.02717037871479988,
0.01452665962278843,
0.006096217781305313,
-0.01886053755879402,
-0.0015824100701138377,
0.007395602762699127,
-0.048116158694028854,
0.03498225286602974,
-0.06258834898471832,
0.03435979038476944,
0.01702428050339222,
-0.0008515058434568346,
-0.01286935992538929,
0.04469262808561325,
0.0017584494780749083,
-0.01820695400238037,
0.006987113505601883,
-0.05312696099281311,
-0.010628504678606987,
-0.056519366800785065,
-0.03641390800476074,
0.014760082587599754,
-0.07575338333845139,
-0.009523637592792511,
0.028275245800614357,
0.001827503670938313,
-0.005683837924152613,
0.007022126577794552,
-0.03706749156117439,
0.004508944693952799,
0.031216368079185486,
0.06252610683441162,
0.0019850637763738632,
-0.020696794614195824,
0.0011817014310508966,
0.005026364233344793,
-0.006547500845044851,
-0.005897808354347944,
-0.03330161049962044,
0.014184307307004929,
0.017382195219397545,
-0.024058079347014427,
0.02142818458378315,
0.027870645746588707,
-0.007531765848398209,
0.00857438612729311,
-0.029940325766801834,
0.013896419666707516,
0.01605946756899357,
-0.038685888051986694,
-0.004672340117394924,
0.0221440140157938,
-0.0056877280585467815,
0.05013915151357651,
-0.01586494967341423,
0.03492000699043274,
0.03716086223721504,
-0.01449553668498993,
0.024727223441004753,
-0.015919413417577744,
-0.016821980476379395,
0.03516899049282074,
0.07046247273683548,
0.02573871985077858,
0.014316580258309841,
-0.010799680836498737,
0.006080655846744776,
0.0006477474234998226,
0.006897634826600552,
-0.023949148133397102,
0.04525284096598625,
-0.0025909896939992905,
-0.002902219770476222,
-0.010908611118793488,
0.047960542142391205,
0.03688075393438339,
-0.003709472483024001,
0.01272930670529604,
0.011429921723902225,
-0.02251749113202095,
0.004843516740947962,
0.01839369349181652,
-0.02586321346461773,
0.0103094931691885,
0.013530723750591278,
-0.05882246792316437,
0.047338083386421204,
-0.03101406991481781,
-0.020945778116583824,
-0.0012167147360742092,
-0.06230824440717697,
0.055803537368774414,
-0.004267741460353136,
0.002009378746151924,
-0.0427318774163723,
-0.0005310361739248037,
0.057079579681158066,
0.011624440550804138,
-0.01889166049659252,
0.007088263053447008,
0.05947605147957802,
0.02785508520901203,
0.02604995109140873,
0.012923825532197952,
-0.0436033234000206,
-0.031434230506420135,
-0.01093195378780365,
0.03495112806558609,
0.03591594099998474,
0.03249241039156914,
0.04382118210196495,
-0.04954781383275986,
-0.021008023992180824,
0.023762410506606102,
0.014324360527098179,
-0.038374658674001694,
0.013149467296898365,
-0.011888985522091389,
0.019872035831212997,
-0.01356962788850069,
0.013997568748891354,
-0.006652540992945433,
0.039308346807956696,
0.0416114516556263,
-0.031371984630823135,
-0.004648997914046049,
0.04463038221001625,
-0.0417981892824173,
0.04282524809241295,
-0.03653839975595474,
0.04139358922839165,
-0.0027077009435743093,
-0.015981661155819893,
0.03439091518521309,
-0.025474175810813904,
-0.02114807814359665,
-0.021412624046206474,
-0.040055301040410995,
-0.006438570562750101,
0.02149043045938015,
-0.029629096388816833,
0.0027018655091524124,
-0.03644503280520439,
0.004843516740947962,
-0.026003265753388405,
0.002495675580576062,
-0.047587066888809204,
0.012737087905406952,
-0.06890632212162018,
0.019482998177409172,
-0.008737782016396523,
0.03488888218998909,
0.0021358157973736525,
0.005532113369554281,
0.03172989934682846,
0.007154399529099464,
0.0031123000662773848,
-0.00025141547666862607,
-0.018315885215997696,
-0.028088506311178207,
-0.012916045263409615,
-0.04220278933644295,
-0.01879829168319702,
0.006749800406396389,
-0.07195637375116348,
-0.057764288038015366,
-0.01640181988477707,
-0.005434853956103325,
-0.012270242907106876,
0.047867175191640854,
0.021505992859601974,
0.0014783424558117986,
0.03442203626036644,
-0.030220432206988335,
0.008504359982907772,
0.04301198571920395,
0.025380806997418404,
0.0030870125629007816,
0.0437900610268116,
-0.00017202751769218594,
0.012931606732308865,
0.0043805623427033424,
0.00929021555930376,
0.02608107402920723,
-0.01532029639929533,
0.0034604885149747133,
-0.0459064245223999,
-0.024789469316601753,
-0.028835458680987358,
-0.029940325766801834,
0.0223618745803833,
0.0047112442553043365,
0.0430431067943573,
0.005084719974547625,
-0.07718504220247269,
0.0030870125629007816,
-0.03457765281200409,
-0.03554246574640274,
0.0013314808020368218,
0.03271027281880379,
0.004353329539299011,
-0.0009584911167621613,
0.0062907361425459385,
-0.06510931253433228,
0.2858336269855499,
0.0904434397816658,
0.0436655692756176,
0.0008539372938685119,
0.012106847018003464,
0.05272236093878746,
0.018564868718385696,
0.0055204420350492,
0.011554413475096226,
0.014760082587599754,
0.009710376150906086,
-0.005341484677046537,
0.008737782016396523,
-0.01599722169339657,
0.013873076997697353,
0.012752649374306202,
-0.0418604351580143,
0.011663343757390976,
-0.023217758163809776,
-0.029255619272589684,
-0.06573177874088287,
0.0013042482314631343,
-0.007916913367807865,
-0.03778332099318504,
0.03224342688918114,
0.0016339574940502644,
0.02961353398859501,
-0.012488103471696377,
-0.04301198571920395,
-0.025443052873015404,
-0.008395428769290447,
-0.013515162281692028,
0.008426551707088947,
-0.05297134444117546,
-0.029302304610610008,
0.015787141397595406,
-0.02524075284600258,
0.00829427968710661,
0.0014219320146366954,
0.03358171507716179,
0.03280363976955414,
0.010083852335810661,
-0.03283476456999779,
0.01746000349521637,
-0.004493383225053549,
0.014612248167395592,
-0.017444441094994545,
0.022159576416015625,
0.06162353977560997,
-0.016199521720409393,
0.005384278949350119,
-0.0016349300276488066,
0.03039160929620266,
-0.021505992859601974,
-0.024602731689810753,
-0.006738129537552595,
0.04369669035077095,
-0.008224252611398697,
-0.03017374873161316,
0.015156900510191917,
0.014907917007803917,
-0.003067560726776719,
0.006391886156052351,
0.019125083461403847,
0.03032936342060566,
0.016230644658207893,
-0.012332488782703876,
0.06106332689523697,
-0.041175726801157,
0.03098294697701931,
-0.02304658107459545,
-0.013266178779304028,
-0.026065511628985405,
-0.014137622900307178,
0.023964710533618927,
-0.030842892825603485,
-0.02732599340379238,
0.05387391149997711,
0.05253562331199646,
-0.014635590836405754,
-0.01923401467502117,
-0.002155267633497715,
0.004084893502295017,
-0.013375109061598778,
0.016012784093618393,
0.025256313383579254,
-0.00039317100890912116,
-0.03548021987080574,
-0.009795963764190674,
0.030718401074409485,
0.008551044389605522,
-0.01532029639929533,
0.02589433640241623,
-0.01502462849020958,
0.00418604351580143
] |
1208_15 | Turing was later convinced by the advice of his brother and his own solicitor, and he entered a plea of guilty. The case, Regina v. Turing and Murray, was brought to trial on 31 March 1952. Turing was convicted and given a choice between imprisonment and probation. His probation would be conditional on his agreement to undergo hormonal physical changes designed to reduce libido. He accepted the option of injections of what was then called stilboestrol (now known as diethylstilbestrol or DES), a synthetic oestrogen; this feminization of his body was continued for the course of one year. The treatment rendered Turing impotent and caused breast tissue to form, fulfilling in the literal sense Turing's prediction that "no doubt I shall emerge from it all a different man, but quite who I've not found out". Murray was given a conditional discharge.
Turing's conviction led to the removal of his security clearance and barred him from continuing with his cryptographic consultancy for the Government Communications Headquarters (GCHQ), the British signals intelligence agency that had evolved from GC&CS in 1946, though he kept his academic job. He was denied entry into the United States after his conviction in 1952, but was free to visit other European countries.
Death
On 8 June 1954, at his house at 43 Adlington Road, Wilmslow, Turing's housekeeper found him dead. He had died the previous day at the age of 41. Cyanide poisoning was established as the cause of death. When his body was discovered, an apple lay half-eaten beside his bed, and although the apple was not tested for cyanide, it was speculated that this was the means by which Turing had consumed a fatal dose. An inquest determined that he had committed suicide. Andrew Hodges and another biographer, David Leavitt, have both speculated that Turing was re-enacting a scene from the Walt Disney film Snow White and the Seven Dwarfs (1937), his favourite fairy tale. Both men noted that (in Leavitt's words) he took "an especially keen pleasure in the scene where the Wicked Queen immerses her apple in the poisonous brew". Turing's remains were cremated at Woking Crematorium on 12 June 1954, and his ashes were scattered in the gardens of the crematorium, just as his father's had been. | [
0.019055334851145744,
-0.046522755175828934,
0.032894574105739594,
-0.007096755318343639,
-0.05562831088900566,
-0.057196155190467834,
-0.017834225669503212,
-0.04625139757990837,
-0.0143668781965971,
0.013439740054309368,
0.0005851148744113743,
-0.03058803267776966,
0.016145778819918633,
-0.04218103364109993,
-0.02202519401907921,
-0.03530663996934891,
-0.01804528199136257,
-0.01706537976861,
-0.008856810629367828,
-0.003254406852647662,
0.045467477291822433,
0.002417721087113023,
-0.057226307690143585,
0.014811603352427483,
-0.021331723779439926,
-0.006934694480150938,
-0.01714075542986393,
-0.03681418299674988,
0.07549771666526794,
0.009693496860563755,
0.040794093161821365,
0.022281475365161896,
0.06844241917133331,
-0.04920618236064911,
0.018814127892255783,
-0.01703522726893425,
0.0022594290785491467,
-0.07712586224079132,
0.03455286845564842,
-0.012904562056064606,
0.025296559557318687,
-0.042753901332616806,
0.016914624720811844,
-0.02696993201971054,
-0.03328653424978256,
-0.021618157625198364,
-0.014095520600676537,
0.018557846546173096,
0.011577924713492393,
-0.018467392772436142,
-0.01427642535418272,
0.0005728660617023706,
0.030844315886497498,
-0.01661311648786068,
0.022326702252030373,
-0.0425729937851429,
0.010763851925730705,
0.04169861972332001,
-0.029909638687968254,
0.03325638175010681,
0.02250760607421398,
0.004556546453386545,
-0.006486200727522373,
-0.04775894060730934,
0.0425729937851429,
0.03621116653084755,
0.006550271529704332,
-0.010175910778343678,
-0.018135733902454376,
-0.01569351553916931,
0.023472433909773827,
0.004778909031301737,
0.0010995636694133282,
0.005099261645227671,
-0.003437196370214224,
-0.032291557639837265,
-0.03238200768828392,
0.0037707402370870113,
-0.01459300983697176,
0.04299510642886162,
-0.005253784824162722,
-0.0361810140311718,
-0.005992480553686619,
0.03298502415418625,
0.00028242863481864333,
-0.023834243416786194,
0.015648288652300835,
0.05412076786160469,
-0.008894499391317368,
-0.0125050637871027,
0.03575890511274338,
0.017291510477662086,
-0.007654546294361353,
0.014133209362626076,
0.01319099497050047,
0.017954828217625618,
-0.02960813045501709,
0.00727766053751111,
-0.01269350666552782,
-0.01991463452577591,
0.04242224246263504,
-0.0005714527796953917,
-0.03304532915353775,
0.061477575451135635,
0.03581920638680458,
-0.023683490231633186,
-0.04278405010700226,
0.049718745052814484,
-0.054844390600919724,
0.03606041148304939,
0.026909630745649338,
0.01685432344675064,
0.017080454155802727,
0.007451028097420931,
-0.0005615595146082342,
0.004628154914826155,
-0.010567871853709221,
0.02770862728357315,
-0.0404624342918396,
0.009633195586502552,
0.005849264096468687,
0.009248771704733372,
0.02170860953629017,
0.008087964728474617,
0.01248245034366846,
-0.00628645159304142,
-0.005423383321613073,
0.038050368428230286,
0.009278923273086548,
-0.041638318449258804,
0.016251306980848312,
0.02577897347509861,
-0.00842716172337532,
-0.04821120202541351,
0.017155831679701805,
0.024859372526407242,
0.025130730122327805,
0.02936692349612713,
-0.01563321426510811,
-0.01692970097064972,
0.01332667376846075,
0.0223719272762537,
-0.006591728888452053,
0.06741729378700256,
0.030467430129647255,
0.031175974756479263,
-0.017336737364530563,
0.026593046262860298,
-0.03370864689350128,
-0.010010081343352795,
-0.068140909075737,
-0.00030716173932887614,
0.03331668674945831,
0.006584191229194403,
0.01123872771859169,
0.005393232684582472,
0.004059057682752609,
-0.030015166848897934,
0.010778927244246006,
0.0330754779279232,
-0.036542825400829315,
0.012979939579963684,
-0.005788962356746197,
0.05626147985458374,
0.016311608254909515,
-0.01023621205240488,
-0.02936692349612713,
0.019025184214115143,
-0.0060603199526667595,
-0.007484947796911001,
-0.015180950984358788,
0.014133209362626076,
-0.026879480108618736,
-0.012316620908677578,
0.04682426527142525,
0.054000165313482285,
0.03431166335940361,
-0.012919637374579906,
-0.02096991427242756,
-0.0077336919493973255,
-0.056351929903030396,
-0.00314322579652071,
0.03645237162709236,
0.027648326009511948,
-0.033557891845703125,
-0.030211148783564568,
0.0037895843852311373,
-0.022990019991993904,
0.00946736615151167,
-0.008457312360405922,
0.011924659833312035,
0.01878397725522518,
-0.06241225078701973,
0.004654536955058575,
-0.02065332978963852,
0.035276491194963455,
-0.008841735310852528,
0.027196062728762627,
0.02377394214272499,
0.012022649869322777,
-0.01893473230302334,
0.04519611969590187,
0.00718343909829855,
0.01566336490213871,
-0.008758820593357086,
-0.020246293395757675,
0.04694486781954765,
0.049990102648735046,
0.027346817776560783,
0.027768928557634354,
0.020321670919656754,
-0.04218103364109993,
0.0330754779279232,
-0.016944775357842445,
0.017788998782634735,
0.02767847664654255,
-0.0745931938290596,
0.02517595700919628,
-0.033557891845703125,
0.05749766528606415,
-0.021165894344449043,
0.05773887038230896,
-0.018030205741524696,
0.007070373278111219,
-0.008615604601800442,
0.009278923273086548,
0.01745733991265297,
0.0490252748131752,
-0.002208549529314041,
0.02585435099899769,
0.0015791505575180054,
0.04136696085333824,
-0.016356833279132843,
0.0047449893318116665,
-0.014969895593822002,
0.010402041487395763,
0.026668423786759377,
0.03536694124341011,
-0.021301573142409325,
-0.027211138978600502,
-0.030753863975405693,
0.00401383126154542,
0.034613169729709625,
0.020080463960766792,
0.06066350266337395,
0.04070364311337471,
0.0008065351285040379,
0.011788981035351753,
-0.03479407727718353,
0.020412122830748558,
-0.0060753957368433475,
0.055718764662742615,
0.019959859549999237,
-0.015603062696754932,
-0.0340704545378685,
0.02353273518383503,
0.039708662778139114,
0.018030205741524696,
-0.0072475094348192215,
-0.07555802166461945,
0.03283427283167839,
0.012829185463488102,
0.025552842766046524,
-0.0025929727125912905,
0.00631283363327384,
0.02258298359811306,
0.0543619766831398,
0.01332667376846075,
-0.011706066317856312,
-0.03434181213378906,
-0.04646245390176773,
-0.04754788428544998,
-0.04019107669591904,
-0.04190967604517937,
-0.03262321650981903,
-0.030995069071650505,
-0.016311608254909515,
-0.024497563019394875,
0.07712586224079132,
-0.0010590484598651528,
0.012339233420789242,
-0.021407101303339005,
0.01587442122399807,
0.010726163163781166,
-0.02015584148466587,
-0.026743801310658455,
-0.04778909310698509,
0.016477437689900398,
-0.06205044314265251,
0.016809096559882164,
0.01952267251908779,
-0.017577942460775375,
-0.054452426731586456,
-0.00832163356244564,
0.04670365899801254,
-0.02627646178007126,
-0.015678439289331436,
-0.016130702570080757,
-0.030633259564638138,
-0.029035264626145363,
0.008336708880960941,
-0.024105601012706757,
0.033135779201984406,
0.014585471712052822,
0.020035237073898315,
0.05749766528606415,
0.03346743807196617,
-0.007952285930514336,
0.04628155007958412,
0.012670893222093582,
-0.01843724213540554,
-0.04181922227144241,
0.0041985055431723595,
0.012098027393221855,
-0.03364834561944008,
0.0744122862815857,
0.03998002037405968,
0.02588450163602829,
0.0064447433687746525,
-0.048271503299474716,
-0.02609555795788765,
-0.006685950327664614,
-0.05599012225866318,
-0.003618101589381695,
-0.016778945922851562,
0.025341786444187164,
-0.052914734929800034,
-0.032683517783880234,
-0.0038065442349761724,
0.0025910884141921997,
-0.037628255784511566,
0.02433173358440399,
-0.033376988023519516,
0.01543723326176405,
-0.029985016211867332,
0.004420867655426264,
0.00008680146129336208,
0.009542742744088173,
-0.012354309670627117,
-0.02247745543718338,
-0.0024761382956057787,
-0.006968614179641008,
-0.03446241840720177,
0.02963828109204769,
-0.027316667139530182,
0.048964973539114,
0.05773887038230896,
-0.001263508922420442,
-0.011020134203135967,
-0.05514589697122574,
-0.014374416321516037,
0.020608102902770042,
0.04239208996295929,
-0.029804112389683723,
-0.05303533747792244,
0.0426332950592041,
0.01689954847097397,
-0.02693978138267994,
-0.002168976468965411,
0.03470362350344658,
-0.02300509624183178,
-0.047397129237651825,
0.00847992580384016,
0.06283436715602875,
-0.06584944576025009,
-0.041608165949583054,
-0.015572912059724331,
-0.046975016593933105,
0.04519611969590187,
-0.037356898188591,
0.010138222016394138,
-0.007025147322565317,
-0.02992471493780613,
-0.006746252067387104,
-0.0005794615717604756,
-0.009587968699634075,
0.016100551933050156,
0.004613079596310854,
0.05056297034025192,
-0.026366915553808212,
0.028673455119132996,
-0.0028662148397415876,
0.003964836243540049,
0.027949834242463112,
-0.03811066970229149,
0.010296514257788658,
0.011615613475441933,
0.030542807653546333,
0.009452289901673794,
0.03922625258564949,
-0.02883928455412388,
0.00920354574918747,
0.025040278211236,
-0.03404030576348305,
-0.04196997731924057,
-0.02033674530684948,
0.05514589697122574,
0.026216160506010056,
0.00930907391011715,
0.02427143044769764,
0.043809179216623306,
0.007839219644665718,
-0.0015961104072630405,
0.015829194337129593,
-0.022070419043302536,
-0.02757294848561287,
-0.04842225834727287,
0.031206125393509865,
-0.0020596797112375498,
0.0031903365161269903,
-0.028673455119132996,
0.02332167886197567,
0.06271375715732574,
0.01353773009032011,
0.06651276350021362,
-0.023593036457896233,
-0.04558807983994484,
-0.0029868183191865683,
0.0034032766707241535,
0.0143819535151124,
-0.04193982854485512,
-0.0013973033055663109,
0.03388955071568489,
0.03379909694194794,
-0.003874383633956313,
-0.033527739346027374,
0.0060339379124343395,
-0.00837439764291048,
0.021376950666308403,
-0.013967379927635193,
0.07187961786985397,
-0.027979984879493713,
-0.03286442160606384,
-0.013658333569765091,
-0.04178907349705696,
0.03958806023001671,
0.010319126769900322,
-0.006407054606825113,
0.007221127860248089,
0.018060356378555298,
0.006467356346547604,
0.012979939579963684,
-0.01622115448117256,
-0.02149755321443081,
0.012663355097174644,
0.01587442122399807,
0.026216160506010056,
0.010032693855464458,
0.012429686263203621,
-0.01336436253041029,
0.032261405140161514,
-0.06627155840396881,
0.03859308362007141,
-0.04531672224402428,
-0.009949779137969017,
-0.019371919333934784,
0.0005865281564183533,
0.013319136574864388,
0.01236184686422348,
0.0023442283272743225,
-0.01674879528582096,
-0.001709176111035049,
0.0028511392883956432,
-0.053397148847579956,
-0.0004098630743101239,
0.05472378432750702,
0.03253276273608208,
-0.00037076117587275803,
0.015007583424448967,
0.005419614724814892,
0.023804092779755592,
-0.008879424072802067,
-0.023547811433672905,
-0.04748758301138878,
0.038472481071949005,
-0.0016262612771242857,
0.03244230896234512,
-0.025191031396389008,
0.01117088831961155,
-0.04178907349705696,
0.006041476037353277,
0.01925131492316723,
0.004496244713664055,
-0.0057437364012002945,
0.013439740054309368,
-0.01315330620855093,
-0.020502574741840363,
-0.044804155826568604,
-0.007337962277233601,
-0.017291510477662086,
0.04175892099738121,
0.01689954847097397,
-0.03476392477750778,
0.013025165535509586,
-0.05372880771756172,
0.04775894060730934,
-0.023397056385874748,
-0.07706556469202042,
0.017758848145604134,
0.0012390112970024347,
0.017728697508573532,
-0.04383933171629906,
0.012580440379679203,
0.002903903368860483,
0.022492531687021255,
-0.041216205805540085,
-0.00846485048532486,
-0.036934785544872284,
-0.02142217569053173,
0.013892002403736115,
0.002381916856393218,
-0.04203027859330177,
0.007307811174541712,
-0.01938699372112751,
0.04956799000501633,
-0.0036011417396366596,
0.03066341020166874,
-0.020185992121696472,
-0.002253775717690587,
0.07109569758176804,
0.03609056398272514,
-0.02395484782755375,
0.01134425587952137,
0.05276397988200188,
-0.012542751617729664,
0.016567889600992203,
0.01962820068001747,
-0.06470371782779694,
-0.019236240535974503,
-0.06946755200624466,
0.01262566726654768,
-0.07055298238992691,
-0.053608205169439316,
-0.05773887038230896,
0.031206125393509865,
-0.04196997731924057,
-0.009972392581403255,
-0.031417183578014374,
-0.04383933171629906,
-0.0229297187179327,
-0.019854331389069557,
-0.012995014898478985,
0.016944775357842445,
0.0053593129850924015,
-0.05544740706682205,
-0.044442348182201385,
-0.005299011245369911,
0.04456295073032379,
-0.004914587829262018,
0.008675905875861645,
0.01336436253041029,
0.03600011020898819,
-0.04064334183931351,
0.008449774235486984,
-0.014479943551123142,
-0.019884483888745308,
0.02015584148466587,
0.019266391173005104,
-0.013341749086976051,
0.05580921471118927,
-0.011193501763045788,
-0.004228656180202961,
0.006584191229194403,
0.004639461636543274,
-0.004560315515846014,
-0.04836195707321167,
-0.027648326009511948,
0.009859326295554638,
0.072482630610466,
-0.022628210484981537,
0.04091469943523407,
-0.014148284681141376,
0.019477447494864464,
0.044020235538482666,
0.018497543409466743,
-0.035487547516822815,
-0.010055307298898697,
-0.010515107773244381,
-0.07827159762382507,
0.044804155826568604,
0.0320202000439167,
-0.0019767647609114647,
0.013899540528655052,
0.01150254812091589,
0.020909611135721207,
-0.072603240609169,
-0.019296541810035706,
0.0659700483083725,
-0.027588024735450745,
-0.04317601025104523,
-0.012942250818014145,
0.041879523545503616,
0.013447277247905731,
-0.06289466470479965,
-0.02187443897128105,
-0.0271508377045393,
-0.018452318385243416,
-0.03789961338043213,
-0.03603026270866394,
-0.04130665957927704,
-0.03603026270866394,
0.03150763362646103,
0.053578052669763565,
0.01006284449249506,
0.03560815006494522,
0.015934722498059273,
-0.025341786444187164,
-0.048452410846948624,
0.030090544372797012,
-0.05734691023826599,
0.029969941824674606,
0.03177899122238159,
0.028191041201353073,
-0.010650786571204662,
-0.0033260153140872717,
0.013605569489300251,
-0.058673545718193054,
-0.05065342038869858,
-0.005822882056236267,
0.013974917121231556,
-0.03560815006494522,
0.025582993403077126,
-0.007123137358576059,
-0.05562831088900566,
-0.026638273149728775,
-0.020291520282626152,
-0.09358822554349899,
-0.052492622286081314,
-0.03192974627017975,
0.017638245597481728,
0.034824226051568985,
0.01555783674120903,
-0.007002533879131079,
0.029985016211867332,
-0.0023762634955346584,
0.009731185622513294,
-0.004963582847267389,
0.023366905748844147,
-0.010319126769900322,
0.02599002979695797,
0.06892483681440353,
-0.030105620622634888,
-0.001744980225339532,
-0.049326784908771515,
-0.006708563305437565,
0.0062148431316018105,
-0.00007107826240826398,
-0.02942722663283348,
-0.017080454155802727,
0.01336436253041029,
0.04007047414779663,
0.0007292735972441733,
0.0361810140311718,
-0.05689464509487152,
-0.04386948049068451,
0.002221740549430251,
0.012542751617729664,
-0.0023084240965545177,
-0.05267352983355522,
-0.011201038956642151,
-0.022598059847950935,
0.022763889282941818,
-0.08791986852884293,
-0.04694486781954765,
0.008351784199476242,
0.030512657016515732,
-0.01427642535418272,
-0.006550271529704332,
-0.0143819535151124,
-0.06361828744411469,
-0.00804273784160614,
-0.039949871599674225,
-0.026562895625829697,
-0.022522682324051857,
0.016944775357842445,
-0.04962829127907753,
-0.018633222207427025,
-0.015143262222409248,
0.03446241840720177,
-0.03726644441485405,
0.025206107646226883,
-0.002932169707491994,
0.041668470948934555,
-0.03319608047604561,
0.003346743993461132,
0.012248781509697437,
-0.041427262127399445,
-0.031175974756479263,
0.01359049417078495,
-0.023577962070703506,
-0.031447332352399826,
-0.024995051324367523,
0.01822618581354618,
0.0021501323208212852,
-0.01941714435815811,
0.037417199462652206,
0.00735680665820837,
-0.021934740245342255,
0.017834225669503212,
-0.0122412433847785,
0.01914578676223755,
0.03455286845564842,
0.025402087718248367,
0.032924722880125046,
-0.04010062664747238,
-0.014653311111032963,
0.01554276142269373,
0.01062063593417406,
0.013175919651985168,
-0.020306594669818878,
0.010402041487395763,
-0.007846757769584656,
-0.002168976468965411,
-0.030572958290576935,
-0.0035219956189393997,
-0.032050348818302155,
0.015376931987702847,
-0.01724628359079361,
0.027949834242463112,
-0.019447294995188713,
0.015218639746308327,
-0.013771398924291134,
-0.029201094061136246,
0.04136696085333824,
0.006652030628174543,
0.023276453837752342,
0.021271422505378723,
-0.003408930031582713,
0.00899248942732811,
0.005317855626344681,
0.02216087281703949,
-0.048030298203229904,
0.01376386173069477,
-0.006587959825992584,
0.013386975973844528,
-0.005672127939760685,
-0.002208549529314041,
-0.009972392581403255,
0.042090579867362976,
0.0384121797978878,
0.00816334132105112,
0.06331677734851837,
-0.05342730134725571,
-0.014464868232607841,
-0.05574891343712807,
-0.048934824764728546,
0.00010093466698890552,
-0.04787954315543175,
-0.017638245597481728,
0.03138703107833862,
0.016462361440062523,
0.021512629464268684,
0.0372965969145298,
-0.008510076440870762,
-0.004624385852366686,
-0.0009087653597816825,
0.08424146473407745,
0.054633334279060364,
0.004473631735891104,
-0.006045244634151459,
0.01616085320711136,
-0.015233715064823627,
-0.028809133917093277,
-0.013025165535509586,
0.011314105242490768,
0.01787945255637169,
-0.012233706191182137,
0.02015584148466587,
0.027015158906579018,
0.02437695860862732,
0.006015093997120857,
-0.0025609375443309546,
-0.01420858595520258,
-0.009520129300653934,
-0.012391997501254082,
0.008969876915216446,
-0.0012380691478028893,
0.009844250977039337,
0.03792976588010788,
-0.029246320948004723,
0.04064334183931351,
0.0027663400396704674,
-0.04778909310698509,
0.02149755321443081,
-0.019296541810035706,
-0.013929691165685654,
0.013386975973844528,
0.06934694945812225,
0.017819149419665337,
0.02118096873164177,
-0.012655817903578281,
-0.009233696386218071,
0.02942722663283348,
0.005042728967964649,
-0.030964918434619904,
0.04540717601776123,
0.025085503235459328,
0.007756305392831564,
-0.026638273149728775,
0.056351929903030396,
0.06627155840396881,
-0.02522118203341961,
0.039919719099998474,
0.032713666558265686,
-0.009844250977039337,
0.020427199080586433,
0.01899503357708454,
-0.00617338577285409,
0.023608112707734108,
0.021572930738329887,
-0.011886971071362495,
0.05993988364934921,
-0.020185992121696472,
-0.02255283296108246,
-0.004326646216213703,
-0.06868362426757812,
0.04190967604517937,
-0.04866346716880798,
-0.027196062728762627,
-0.017834225669503212,
0.006742483004927635,
0.04317601025104523,
0.03922625258564949,
-0.008314095437526703,
-0.010371890850365162,
0.05671374127268791,
0.016598040238022804,
0.030316675081849098,
0.03177899122238159,
-0.03388955071568489,
-0.05303533747792244,
0.009527667425572872,
0.019884483888745308,
0.020532725378870964,
0.035427242517471313,
0.06247255206108093,
0.004560315515846014,
-0.01959805004298687,
0.02229655161499977,
-0.0074020326137542725,
-0.08261331915855408,
0.006158310454338789,
-0.01622115448117256,
0.031628236174583435,
-0.0059057967737317085,
0.0011834207689389586,
0.00921862106770277,
0.0266533475369215,
0.02995486557483673,
-0.009851789101958275,
-0.00008220816380344331,
-0.01872367598116398,
-0.03199004754424095,
0.03774885833263397,
-0.020638253539800644,
0.039949871599674225,
0.003900765674188733,
-0.029547829180955887,
0.03370864689350128,
-0.01151762343943119,
-0.009836713783442974,
-0.017427189275622368,
-0.0415177159011364,
0.013658333569765091,
0.02395484782755375,
-0.001463258289732039,
-0.016884474083781242,
-0.023366905748844147,
-0.05023131147027016,
-0.04215088486671448,
0.002470484934747219,
-0.01527894102036953,
-0.01543723326176405,
-0.01601010002195835,
-0.04736698046326637,
0.002515711123123765,
0.022869417443871498,
-0.030497580766677856,
0.042904652655124664,
0.0071721323765814304,
-0.005826651118695736,
-0.001637567882426083,
-0.015678439289331436,
-0.016673417761921883,
-0.03367849439382553,
0.021271422505378723,
-0.037145841866731644,
-0.023381981998682022,
0.0026363146025687456,
-0.03768855705857277,
-0.04169861972332001,
-0.006410823669284582,
-0.023472433909773827,
0.013944766484200954,
0.020216142758727074,
0.02612570859491825,
-0.01450255699455738,
0.036150865256786346,
-0.023261377587914467,
0.005502529442310333,
0.011879432946443558,
0.005442227702587843,
0.006260069552809,
-0.015919646248221397,
0.013786474242806435,
-0.004085439722985029,
0.022251324728131294,
-0.005528911482542753,
0.008917112834751606,
0.011381944641470909,
-0.018376940861344337,
-0.026005104184150696,
-0.023683490231633186,
-0.0223719272762537,
-0.016447287052869797,
0.008329171687364578,
0.009105555713176727,
0.05460318177938461,
0.010356815531849861,
-0.07700525969266891,
-0.0019843026529997587,
-0.032291557639837265,
-0.01674879528582096,
0.01854277029633522,
0.015369393862783909,
0.02194981649518013,
0.002483675954863429,
0.00181093520950526,
-0.08997012674808502,
0.268704354763031,
0.060603201389312744,
0.026924705132842064,
-0.007876908406615257,
0.00955028086900711,
0.04371872544288635,
0.016341758891940117,
-0.009610582143068314,
-0.011434708721935749,
0.01724628359079361,
-0.009791486896574497,
0.017743773758411407,
0.024995051324367523,
0.004842979833483696,
0.019854331389069557,
0.04049258679151535,
-0.06271375715732574,
0.01245229970663786,
-0.005668358877301216,
-0.03862323239445686,
-0.04944738745689392,
0.018603071570396423,
-0.004861823748797178,
-0.0052311718463897705,
0.027376968413591385,
-0.023020170629024506,
0.020351821556687355,
-0.03364834561944008,
-0.014804065227508545,
-0.05068357288837433,
0.009829175658524036,
-0.016522664576768875,
-0.024422185495495796,
-0.04076394438743591,
-0.0019296541577205062,
0.03283427283167839,
0.0006336388760246336,
0.014902056194841862,
0.0040439823642373085,
0.0064447433687746525,
0.015015121549367905,
0.014118134044110775,
-0.017412113025784492,
-0.002263197908177972,
-0.01258797850459814,
0.04959814250469208,
-0.04712577164173126,
0.04411068931221962,
0.07097509503364563,
0.009316611103713512,
0.015128186903893948,
0.014562858268618584,
0.02247745543718338,
-0.05523635074496269,
-0.03325638175010681,
-0.01692970097064972,
0.020593028515577316,
-0.014638235792517662,
-0.03600011020898819,
-0.017231209203600883,
0.02139202505350113,
0.005649514961987734,
0.019884483888745308,
0.03817097097635269,
0.012082952074706554,
0.020170915871858597,
0.024542788043618202,
0.057377059012651443,
-0.03584935516119003,
-0.011020134203135967,
-0.025959879159927368,
0.013055316172540188,
-0.04091469943523407,
-0.009301535785198212,
0.055899668484926224,
-0.0073907263576984406,
-0.030392052605748177,
0.06572884321212769,
0.05439212545752525,
-0.020246293395757675,
0.011268878355622292,
-0.022884491831064224,
0.005886952858418226,
-0.013251297175884247,
0.022990019991993904,
0.016778945922851562,
0.004748758394271135,
-0.0043605659157037735,
-0.014721150510013103,
0.005709816701710224,
0.039527758955955505,
-0.02620108611881733,
0.002655158983543515,
0.0033995078410953283,
-0.020773932337760925
] |
1208_16 | Philosopher Jack Copeland has questioned various aspects of the coroner's historical verdict. He suggested an alternative explanation for the cause of Turing's death: the accidental inhalation of cyanide fumes from an apparatus used to electroplate gold onto spoons. The potassium cyanide was used to dissolve the gold. Turing had such an apparatus set up in his tiny spare room. Copeland noted that the autopsy findings were more consistent with inhalation than with ingestion of the poison. Turing also habitually ate an apple before going to bed, and it was not unusual for the apple to be discarded half-eaten. Furthermore, Turing had reportedly borne his legal setbacks and hormone treatment (which had been discontinued a year previously) "with good humour" and had shown no sign of despondency prior to his death. He even set down a list of tasks that he intended to complete upon returning to his office after the holiday weekend. Turing's mother believed that the ingestion was accidental, resulting from her son's careless storage of laboratory chemicals. Biographer Andrew Hodges theorised that Turing arranged the delivery of the equipment to deliberately allow his mother plausible deniability with regard to any suicide claims.
It has been suggested that Turing's belief in fortune-telling may have caused his depressed mood. As a youth, Turing had been told by a fortune-teller that he would be a genius. In mid-May 1954, shortly before his death, Turing again decided to consult a fortune-teller during a day-trip to St Annes-on-Sea with the Greenbaum family. According to the Greenbaums' daughter, Barbara:
But it was a lovely sunny day and Alan was in a cheerful mood and off we went... Then he thought it would be a good idea to go to the Pleasure Beach at Blackpool. We found a fortune-teller's tent[,] and Alan said he'd like to go in[,] so we waited around for him to come back... And this sunny, cheerful visage had shrunk into a pale, shaking, horror-stricken face. Something had happened. We don't know what the fortune-teller said[,] but he obviously was deeply unhappy. I think that was probably the last time we saw him before we heard of his suicide.
Government apology and pardon | [
0.020899483934044838,
-0.040500301867723465,
0.031107613816857338,
-0.009755105711519718,
-0.04188957437872887,
-0.04838291183114052,
0.00012576121662277728,
0.009188827127218246,
0.001816813019104302,
0.014874272048473358,
0.014844070188701153,
-0.02967303991317749,
0.022877687588334084,
-0.027000200003385544,
-0.06058434396982193,
-0.015078132040798664,
0.007316329516470432,
-0.002619985956698656,
-0.012337340041995049,
0.029340822249650955,
0.06505417823791504,
0.027347518131136894,
-0.030473381280899048,
-0.02770993672311306,
-0.0172450952231884,
-0.01051014568656683,
0.0095134936273098,
-0.04765807092189789,
0.07085287570953369,
0.018528660759329796,
0.03569825366139412,
0.012314689345657825,
0.05279234051704407,
-0.03261769190430641,
0.029461627826094627,
0.003522257786244154,
0.017290396615862846,
-0.08945704251527786,
0.02846497669816017,
-0.036634501069784164,
0.009853261522948742,
-0.024297161027789116,
0.012337340041995049,
-0.020688073709607124,
-0.02456897497177124,
0.011355789378285408,
-0.041708365082740784,
-0.017803823575377464,
0.0027785440906882286,
-0.0031994786113500595,
-0.013288689777255058,
-0.015078132040798664,
0.04892653971910477,
-0.03769155591726303,
0.020461561158299446,
-0.03424857556819916,
-0.0017375339521095157,
0.04524194821715355,
-0.0313190259039402,
-0.0036241880152374506,
0.029884450137615204,
0.014330643229186535,
-0.017365900799632072,
-0.053939998149871826,
0.037268731743097305,
0.05810781568288803,
0.001309049199335277,
0.00014711466792505234,
-0.03234587982296944,
0.0036090873181819916,
0.0021933887619525194,
0.005719421897083521,
-0.006474460940808058,
-0.008818857371807098,
-0.015448101796209812,
-0.03524522855877876,
-0.007663647644221783,
0.0006498055881820619,
-0.03442978486418724,
0.01870987005531788,
0.01854376122355461,
-0.016127636656165123,
-0.005428731441497803,
0.03322172537446022,
-0.015402799472212791,
-0.03424857556819916,
0.025293812155723572,
0.04799028858542442,
0.01857396401464939,
-0.043580859899520874,
0.03322172537446022,
0.01969142071902752,
0.017094086855649948,
-0.015123434364795685,
0.03817478194832802,
0.02684919349849224,
0.006580166518688202,
0.0047265454195439816,
-0.01762261427938938,
0.008743353188037872,
0.049923188984394073,
0.036664701998233795,
-0.010781959630548954,
0.04161775857210159,
-0.0031560638453811407,
0.009309632703661919,
-0.012375092133879662,
0.04083251953125,
-0.05270173400640488,
-0.014323092997074127,
0.004379227291792631,
0.020204847678542137,
0.012405293993651867,
0.008713152259588242,
0.0013770026853308082,
0.033523738384246826,
0.00896986573934555,
0.026924697682261467,
-0.057654790580272675,
0.020567266270518303,
-0.010525246150791645,
-0.015931326895952225,
0.012450596317648888,
0.004968157969415188,
-0.00037681174580939114,
0.02165452390909195,
-0.00841868668794632,
0.046842630952596664,
0.00890946201980114,
-0.036000266671180725,
0.016067232936620712,
0.03243648260831833,
-0.014821418561041355,
-0.04294662922620773,
0.02073337510228157,
0.00022757353144697845,
-0.02707570418715477,
0.04596678540110588,
-0.050587624311447144,
-0.007297453470528126,
0.01747160591185093,
0.01810583844780922,
0.022198151797056198,
0.060886360704898834,
-0.01054034661501646,
0.03427878022193909,
-0.012035324238240719,
0.025248510763049126,
-0.046329203993082047,
-0.017516909167170525,
-0.05813801661133766,
-0.0172450952231884,
-0.01366620883345604,
-0.010834812186658382,
0.020748475566506386,
-0.021412910893559456,
-0.02231895737349987,
-0.015553806908428669,
0.03134922683238983,
0.04249360412359238,
-0.025308912619948387,
0.032134465873241425,
-0.02015954628586769,
0.06656425446271896,
-0.013756813481450081,
0.018468258902430534,
-0.024991797283291817,
-0.024689780548214912,
0.013741713017225266,
-0.009135973639786243,
-0.016474954783916473,
0.0018149254610762,
-0.027347518131136894,
-0.01352275162935257,
0.039292238652706146,
0.0640273243188858,
0.04445670545101166,
-0.015810519456863403,
-0.007965663447976112,
-0.03231567516922951,
-0.0654165968298912,
0.013651108369231224,
0.036543894559144974,
0.03059418685734272,
-0.01100092101842165,
-0.03953384980559349,
-0.004458506125956774,
-0.04759766906499863,
0.0179397314786911,
0.004820925183594227,
0.013454797677695751,
0.008516841568052769,
-0.10389339178800583,
0.028963303193449974,
0.0015544368652626872,
0.027347518131136894,
-0.0013817216968163848,
0.01000426895916462,
0.035396236926317215,
-0.02266627550125122,
-0.03865800425410271,
0.03959425538778305,
0.0033674747683107853,
0.023572323843836784,
-0.0046510412357747555,
0.008652748540043831,
0.02650187537074089,
0.05348697677254677,
0.004299947991967201,
0.041104331612586975,
0.02162432111799717,
0.00971735455095768,
0.017169591039419174,
-0.036755308508872986,
0.02333071082830429,
-0.02669818513095379,
-0.03494321182370186,
0.01784912683069706,
-0.019646119326353073,
0.0415271557867527,
-0.009302082471549511,
0.052580926567316055,
-0.015568907372653484,
-0.008856609463691711,
-0.018271947279572487,
0.009468191303312778,
-0.008509291335940361,
0.06873876601457596,
-0.01842295564711094,
0.025444820523262024,
-0.010117525234818459,
0.029537132009863853,
-0.01544055063277483,
0.023481719195842743,
0.01100092101842165,
0.027468325570225716,
0.018528660759329796,
0.03708752244710922,
-0.026456572115421295,
-0.026109253987669945,
-0.025958247482776642,
0.027528727427124977,
0.05859103798866272,
0.03334252908825874,
0.027226712554693222,
0.02742302231490612,
0.002455764915794134,
-0.011469044722616673,
-0.01526689250022173,
0.03189285472035408,
-0.025852540507912636,
0.06958440691232681,
0.02079377882182598,
-0.026607580482959747,
-0.04143654927611351,
0.0003022516320925206,
0.012216533534228802,
0.012858317233622074,
-0.01340949535369873,
-0.07278577983379364,
0.04204058274626732,
0.03621167689561844,
0.01715449057519436,
-0.006236623506993055,
0.03189285472035408,
0.016656164079904556,
0.042342595756053925,
-0.0070558409206569195,
-0.0073805078864097595,
-0.03207406401634216,
-0.05040641501545906,
-0.05949708819389343,
-0.05279234051704407,
-0.036694902926683426,
-0.0320136621594429,
-0.0051229409873485565,
0.006674546282738447,
-0.04182916879653931,
0.0397452637553215,
-0.03515462204813957,
0.021473314613103867,
-0.038688208907842636,
0.025097502395510674,
0.026969999074935913,
-0.002855935599654913,
0.01450430229306221,
-0.03445998951792717,
0.026456572115421295,
-0.02450857125222683,
0.013273588381707668,
0.01588602364063263,
-0.03877881169319153,
-0.05729237198829651,
-0.029688140377402306,
0.03071499429643154,
-0.02304379642009735,
0.01326603814959526,
-0.005451382603496313,
-0.03364454582333565,
-0.026592480018734932,
0.021503515541553497,
0.001257140189409256,
0.030488481745123863,
0.015780318528413773,
-0.015735017135739326,
0.05079903453588486,
0.01173330843448639,
-0.00029658881248906255,
0.02774013951420784,
0.010600750334560871,
-0.019766924902796745,
-0.015704814344644547,
-0.03079049661755562,
0.03509422019124031,
-0.037298936396837234,
0.04442650452256203,
0.024523671716451645,
0.0017951056361198425,
0.02012934349477291,
-0.042342595756053925,
-0.037238530814647675,
-0.0002578930580057204,
-0.034762002527713776,
-0.001064605196006596,
-0.03455059230327606,
0.01094051729887724,
-0.02225855551660061,
-0.04267481341958046,
0.0010542233940213919,
-0.006742499768733978,
-0.04083251953125,
0.03841639310121536,
-0.028706589713692665,
0.0422217920422554,
-0.014723263680934906,
-0.013439697213470936,
-0.024297161027789116,
-0.004466056823730469,
-0.011763510294258595,
-0.028540480881929398,
-0.03968485817313194,
-0.016746768727898598,
-0.024085748940706253,
0.00826012808829546,
-0.032225072383880615,
0.030443180352449417,
0.05113125219941139,
0.0012741285609081388,
-0.03899022191762924,
-0.06396691501140594,
0.002210377249866724,
0.017607513815164566,
0.03569825366139412,
-0.03316131979227066,
-0.037208329886198044,
0.058319225907325745,
0.006987887434661388,
-0.009264330379664898,
-0.005111615173518658,
0.00137889024335891,
-0.01695817895233631,
0.0002210849052062258,
0.009566346183419228,
0.060372933745384216,
-0.04572517052292824,
-0.041768766939640045,
0.00710114324465394,
-0.034762002527713776,
0.04605738818645477,
-0.007021864410489798,
0.027860945090651512,
-0.023285407572984695,
-0.030005257576704025,
0.001735646277666092,
0.006398957222700119,
-0.03932243958115578,
0.0334029346704483,
-0.0071313451044261456,
0.043127838522195816,
-0.0700676366686821,
0.013469899073243141,
0.0036355135962367058,
0.03687611222267151,
-0.005043661687523127,
-0.06408772617578506,
-0.0033278351183980703,
0.023376012220978737,
0.015644412487745285,
0.017350800335407257,
0.025021998211741447,
-0.001898923539556563,
-0.018045436590909958,
0.01445899996906519,
-0.013545402325689793,
-0.034188173711299896,
-0.016414551064372063,
0.055782295763492584,
0.025716634467244148,
-0.011574750766158104,
0.020053841173648834,
0.022832384333014488,
0.03128882497549057,
-0.015855822712183,
0.008146872743964195,
0.025308912619948387,
-0.014300442300736904,
-0.041104331612586975,
0.021820632740855217,
0.0015770880272611976,
-0.055057454854249954,
-0.05545007809996605,
0.044396303594112396,
0.03436938300728798,
0.010630951263010502,
0.06040313467383385,
-0.02425185777246952,
-0.03325192630290985,
0.01851356029510498,
0.011771060526371002,
-0.021201500669121742,
-0.041708365082740784,
0.013930472545325756,
0.046178195625543594,
0.015931326895952225,
0.019449809566140175,
-0.025339115411043167,
-0.013469899073243141,
-0.008984966203570366,
0.0383559912443161,
0.002633199095726013,
0.06571860611438751,
-0.020899483934044838,
-0.038567401468753815,
-0.011718207970261574,
-0.05031581223011017,
0.03370494768023491,
0.01368131022900343,
-0.007644771598279476,
-0.010865014046430588,
0.00710114324465394,
0.027272015810012817,
-0.005643917713314295,
-0.014255139976739883,
-0.009996718727052212,
-0.0019838653970509768,
0.027272015810012817,
0.02707570418715477,
0.01501017902046442,
-0.0007187029113993049,
0.006146018858999014,
0.054513826966285706,
-0.06348369270563126,
0.026305565610527992,
-0.014881822280585766,
-0.005749623291194439,
-0.0014553379733115435,
0.028857598081231117,
-0.0017262082546949387,
0.013235836289823055,
-0.02194143831729889,
-0.03554724529385567,
0.016157837584614754,
0.010970719158649445,
-0.022877687588334084,
0.003688366385176778,
0.04412448778748512,
0.03116801753640175,
0.014889372512698174,
0.0369667187333107,
-0.0010872563580051064,
0.017547110095620155,
-0.026290463283658028,
-0.02038605697453022,
-0.0623360350728035,
0.009015168063342571,
-0.024870989844202995,
0.005885530263185501,
-0.02387433871626854,
0.010547896847128868,
-0.04645001143217087,
-0.02298339270055294,
0.02453877404332161,
0.011914517730474472,
0.011914517730474472,
0.012133479118347168,
-0.01825684681534767,
0.007448461372405291,
-0.017547110095620155,
-0.011393541470170021,
0.020340755581855774,
0.05400040000677109,
-0.0016205027932301164,
-0.048805732280015945,
-0.013107480481266975,
-0.05424201488494873,
-0.01368131022900343,
-0.0457855761051178,
-0.06571860611438751,
0.011755960062146187,
-0.0004367429646663368,
0.031560637056827545,
-0.03243648260831833,
0.015244240872561932,
-0.007943011820316315,
0.021065592765808105,
-0.06324207782745361,
-0.0267585888504982,
-0.05082923546433449,
0.01019302848726511,
0.009807959198951721,
0.006432933732867241,
-0.030095862224698067,
0.008833958767354488,
0.010910316370427608,
0.028495177626609802,
-0.02863108552992344,
0.030896203592419624,
-0.032829102128744125,
-0.00860744621604681,
0.08667849749326706,
0.04705404117703438,
-0.054483626037836075,
0.007501314394176006,
0.016731668263673782,
-0.02168472483754158,
0.012057975865900517,
0.008660299703478813,
-0.06269845366477966,
-0.022651175037026405,
-0.1003900095820427,
-0.011846564710140228,
-0.07471867650747299,
-0.028585782274603844,
-0.06475216150283813,
0.014625108800828457,
-0.05692995339632034,
0.0004907754482701421,
-0.04956077039241791,
-0.03524522855877876,
-0.018875978887081146,
-0.010880114510655403,
-0.01784912683069706,
0.050013795495033264,
-0.01544055063277483,
-0.050043996423482895,
-0.020401159301400185,
0.01955551467835903,
0.016308845952153206,
0.006183770950883627,
0.01366620883345604,
-0.0015855822712182999,
0.007501314394176006,
-0.003233455354347825,
-0.009430439211428165,
-0.01733569987118244,
-0.025761935859918594,
0.011657805182039738,
0.043007031083106995,
0.004137614741921425,
0.051433268934488297,
-0.023602524772286415,
0.002048043766990304,
-0.012148580513894558,
0.007187972776591778,
-0.015991728752851486,
-0.03578885644674301,
-0.02145821414887905,
0.01689777709543705,
0.08045697212219238,
-0.025686433538794518,
0.017426304519176483,
-0.02736262045800686,
0.013024426065385342,
0.03829558566212654,
-0.00289746280759573,
-0.03033747337758541,
-0.010925416834652424,
-0.029839148744940758,
-0.0422217920422554,
0.053245361894369125,
0.023391112685203552,
0.010374237783253193,
-0.008486640639603138,
0.015380147844552994,
0.04264461249113083,
-0.05541987344622612,
0.006459360010921955,
0.0830543115735054,
-0.031530436128377914,
-0.04487952962517738,
-0.012835665605962276,
0.03760094940662384,
0.00691238371655345,
-0.007040740456432104,
-0.030443180352449417,
-0.018407855182886124,
0.0017705669160932302,
-0.03575865551829338,
-0.02165452390909195,
-0.03823518380522728,
-0.021171297878026962,
0.025097502395510674,
0.06505417823791504,
0.0029333271086215973,
0.02029545232653618,
-0.009566346183419228,
-0.01258650328963995,
-0.06710787862539291,
0.014292891137301922,
-0.020974988117814064,
0.03521502763032913,
-0.0005327744875103235,
0.019570615142583847,
-0.03376535326242447,
-0.026622680947184563,
0.02003873884677887,
-0.0594668835401535,
-0.05270173400640488,
0.0276495348662138,
0.027211612090468407,
-0.030352573841810226,
0.02713610790669918,
0.01790952868759632,
-0.019857529550790787,
-0.030080759897828102,
-0.0220018420368433,
-0.055872898548841476,
-0.012843216769397259,
-0.0390506274998188,
-0.01715449057519436,
0.02577703818678856,
-0.011476595886051655,
-0.01303197629749775,
0.04484932869672775,
-0.012110828422009945,
-0.01460245717316866,
0.0014289115788415074,
0.010155277326703072,
-0.06052393838763237,
0.0032693196553736925,
0.05288294330239296,
-0.01733569987118244,
-0.007308779284358025,
-0.04418489336967468,
-0.014511852525174618,
0.04022848606109619,
-0.01238264236599207,
0.00740315904840827,
-0.02330050803720951,
-0.001911192899569869,
0.01689777709543705,
-0.030579086393117905,
0.04521174728870392,
0.0022575671318918467,
-0.02419145591557026,
0.013839867897331715,
-0.01303197629749775,
-0.006259274668991566,
-0.03249688446521759,
0.0022368035279214382,
-0.009989168494939804,
0.02450857125222683,
-0.05548027902841568,
-0.044245295226573944,
-0.005440057255327702,
0.05357757955789566,
-0.010140175931155682,
-0.008456438779830933,
-0.04445670545101166,
-0.028872698545455933,
-0.015198938548564911,
-0.028827395290136337,
-0.009453090839087963,
-0.03684591129422188,
-0.012057975865900517,
-0.026773689314723015,
-0.017365900799632072,
-0.04276541993021965,
0.05998031049966812,
-0.028646185994148254,
-0.0023708229418843985,
0.009279431775212288,
0.03968485817313194,
-0.02777034044265747,
0.02609415352344513,
0.002825734205543995,
-0.05315475910902023,
-0.021986741572618484,
0.0078071048483252525,
0.0006587716634385288,
-0.029144512489438057,
-0.04641980677843094,
0.047567468136548996,
0.013432146981358528,
-0.0041074128821492195,
0.05677894502878189,
-0.0026973774656653404,
0.004281071946024895,
0.062154825776815414,
-0.056990355253219604,
-0.010812160558998585,
0.03119821846485138,
0.009060470387339592,
0.0290388073772192,
-0.056507132947444916,
-0.010283633135259151,
0.039231836795806885,
0.0021952763199806213,
-0.008078918792307377,
-0.02580723911523819,
-0.010328935459256172,
0.011688006110489368,
-0.0017573536606505513,
-0.03563784807920456,
-0.03560764715075493,
-0.03883921355009079,
0.04762786999344826,
0.006523538380861282,
-0.011272734962403774,
-0.0007356912828981876,
0.016746768727898598,
-0.01277526281774044,
-0.023315610364079475,
0.02384413778781891,
0.03382575511932373,
0.012465696781873703,
0.04611779376864433,
-0.004371676594018936,
0.004186692181974649,
-0.01854376122355461,
0.014330643229186535,
-0.030730094760656357,
0.0005389092257246375,
-0.016248442232608795,
0.007656097412109375,
-0.006236623506993055,
0.006259274668991566,
-0.020884383469820023,
0.02209244668483734,
0.024297161027789116,
-0.006576391402631998,
0.06614143401384354,
-0.034097567200660706,
0.0005875148344784975,
-0.03397676348686218,
-0.031047210097312927,
0.020431360229849815,
-0.03231567516922951,
-0.007539066020399332,
0.006470685824751854,
0.0195253137499094,
0.00018651827122084796,
0.027981752529740334,
-0.01987263187766075,
-0.006674546282738447,
0.009823059663176537,
0.0717589259147644,
0.04726545140147209,
0.015780318528413773,
0.011423742398619652,
0.025686433538794518,
-0.0026388620026409626,
-0.003265544306486845,
-0.021639423444867134,
0.0026275364216417074,
0.01981222815811634,
-0.02260587364435196,
0.04143654927611351,
0.025248510763049126,
0.025188107043504715,
0.001883822726085782,
-0.048745330423116684,
0.009090671315789223,
0.015855822712183,
-0.035970065742731094,
0.014783667400479317,
0.002689827000722289,
0.0042168935760855675,
0.04898694157600403,
-0.016082335263490677,
0.03313111886382103,
0.019933033734560013,
-0.010389339178800583,
0.02009914256632328,
-0.03711772710084915,
-0.025641130283474922,
-0.01263180561363697,
0.08963824808597565,
-0.004054560326039791,
0.04074191302061081,
0.009407788515090942,
0.02095988765358925,
0.014859170652925968,
0.05557088181376457,
-0.02761933207511902,
0.0415271557867527,
0.02733241766691208,
0.011665355414152145,
0.0024142377078533173,
0.05810781568288803,
0.0648125633597374,
-0.028359271585941315,
0.029280418530106544,
0.03183245286345482,
-0.00008299532055389136,
0.006402732338756323,
-0.001146715716458857,
-0.0122391851618886,
0.045664768666028976,
0.006523538380861282,
-0.012714860029518604,
0.03512442111968994,
-0.015961527824401855,
-0.007844856940209866,
-0.005810026545077562,
-0.06994682550430298,
0.02390453964471817,
-0.04783928021788597,
-0.017773622646927834,
-0.023783734068274498,
0.02145821414887905,
0.034067366272211075,
0.008879261091351509,
-0.017365900799632072,
0.010872564278542995,
0.06596022099256516,
0.018000133335590363,
0.0013571828603744507,
0.03775195777416229,
-0.02609415352344513,
-0.04204058274626732,
-0.006901057902723551,
0.005028560757637024,
0.033463336527347565,
0.049953389912843704,
0.0629400685429573,
-0.002470865612849593,
-0.012835665605962276,
0.009543695487082005,
-0.02846497669816017,
-0.042976830154657364,
0.0292351171374321,
-0.017199791967868805,
0.050648026168346405,
-0.03624188154935837,
-0.024719983339309692,
0.0043112738057971,
0.01466286089271307,
0.01417208556085825,
0.0018319138325750828,
-0.01810583844780922,
-0.004096087533980608,
-0.006036538165062666,
0.052007097750902176,
-0.007010538596659899,
0.02976364456117153,
-0.0008036448271013796,
-0.004420754499733448,
0.06565820425748825,
-0.0019074176670983434,
-0.030141163617372513,
0.0016403226181864738,
-0.035366035997867584,
0.006874631624668837,
0.05330576375126839,
-0.0086225476115942,
0.00911332294344902,
-0.004039459396153688,
-0.012186332605779171,
-0.06227562949061394,
-0.00413006404414773,
-0.01949511095881462,
-0.022243453189730644,
-0.01880047470331192,
-0.042403001338243484,
0.024100851267576218,
0.014745915308594704,
-0.04279562085866928,
0.00937003642320633,
-0.018120940774679184,
-0.013198085129261017,
0.007486213464289904,
0.0006493336986750364,
0.005745848175138235,
-0.01597662828862667,
0.021065592765808105,
-0.04140634834766388,
-0.05590309947729111,
0.0038280487060546875,
-0.005704320967197418,
-0.026018649339675903,
-0.0014279677998274565,
-0.006255499552935362,
-0.0034524165093898773,
0.023859238252043724,
0.016505155712366104,
-0.026048852130770683,
0.030095862224698067,
-0.012465696781873703,
0.0011372778099030256,
0.03116801753640175,
-0.023345811292529106,
-0.020839082077145576,
-0.007716500200331211,
0.024433067068457603,
-0.009339834563434124,
0.02846497669816017,
-0.004469831939786673,
0.01889107935130596,
0.02304379642009735,
-0.017381001263856888,
0.007576818112283945,
-0.020929686725139618,
-0.04956077039241791,
-0.022907888516783714,
0.02381393499672413,
0.02767973579466343,
0.052580926567316055,
-0.015840722247958183,
-0.08396035432815552,
-0.02733241766691208,
-0.059044063091278076,
0.025157906115055084,
-0.005421181209385395,
0.06451054662466049,
-0.020461561158299446,
-0.008637648075819016,
-0.003979056607931852,
-0.08710131794214249,
0.2708476483821869,
0.060252126306295395,
0.02846497669816017,
0.010140175931155682,
0.030745195224881172,
0.044245295226573944,
0.01727529615163803,
-0.01158985123038292,
0.016188040375709534,
0.0032410055864602327,
-0.0053419023752212524,
0.015614209696650505,
0.01456470601260662,
0.0032202419824898243,
0.03699691966176033,
0.04478892311453819,
-0.05496685206890106,
0.014587356708943844,
-0.0020423808600753546,
-0.0276495348662138,
-0.02384413778781891,
0.017894428223371506,
0.017350800335407257,
-0.0002155400870833546,
0.01937430538237095,
0.021699825301766396,
0.020582368597388268,
-0.0129338214173913,
-0.0419197753071785,
-0.04672182351350784,
0.018347451463341713,
-0.032768700271844864,
-0.013145231641829014,
-0.04412448778748512,
0.012858317233622074,
0.05998031049966812,
-0.00029304958297871053,
0.0017677354626357555,
0.018136041238904,
-0.023058896884322166,
0.01946491003036499,
0.01807563751935959,
-0.03024686872959137,
-0.02257567085325718,
-0.008350733667612076,
0.03953384980559349,
-0.044909730553627014,
0.05840982869267464,
0.05082923546433449,
-0.020627669990062714,
0.009619198739528656,
0.015493404120206833,
0.017078986391425133,
-0.043007031083106995,
-0.03751034662127495,
-0.0018470145296305418,
0.039956673979759216,
-0.010714005678892136,
-0.03832578659057617,
-0.0014798768097534776,
0.01756221055984497,
-0.0337955541908741,
0.010917866602540016,
0.03515462204813957,
0.00955879595130682,
0.028102558106184006,
0.04225199297070503,
0.04919835180044174,
-0.03880901262164116,
-0.011053773574531078,
-0.03618147596716881,
-0.006904833018779755,
-0.051886290311813354,
-0.008645198307931423,
0.055208463221788406,
0.0004695399838965386,
-0.010011819191277027,
0.038023773580789566,
0.03956405445933342,
-0.029506931081414223,
0.003526032902300358,
-0.030609287321567535,
0.01603703200817108,
-0.024493470788002014,
0.012707308866083622,
-0.0051946695894002914,
-0.004307498689740896,
-0.007399383932352066,
-0.055782295763492584,
0.027876045554876328,
0.036664701998233795,
-0.015448101796209812,
0.0015374484937638044,
-0.020552165806293488,
-0.027664635330438614
] |
1208_17 | Government apology and pardon
In August 2009, British programmer John Graham-Cumming started a petition urging the British government to apologise for Turing's prosecution as a homosexual. The petition received more than 30,000 signatures. The Prime Minister, Gordon Brown, acknowledged the petition, releasing a statement on 10 September 2009 apologising and describing the treatment of Turing as "appalling":
In December 2011, William Jones and his Member of Parliament, John Leech, created an e-petition requesting that the British government pardon Turing for his conviction of "gross indecency":
The petition gathered over 37,000 signatures, and was submitted to Parliament by the Manchester MP John Leech but the request was discouraged by Justice Minister Lord McNally, who said:
John Leech, the MP for Manchester Withington (2005–15), submitted several bills to Parliament and led a high-profile campaign to secure the pardon. Leech made the case in the House of Commons that Turing's contribution to the war made him a national hero and that it was "ultimately just embarrassing" that the conviction still stood. Leech continued to take the bill through Parliament and campaigned for several years, gaining the public support of numerous leading scientists, including Stephen Hawking. At the British premiere of a film based on Turing's life, The Imitation Game, the producers thanked Leech for bringing the topic to public attention and securing Turing's pardon. Leech is now regularly described as the "architect" of Turing's pardon and subsequently the Alan Turing Law which went on to secure pardons for 75,000 other men and women convicted of similar crimes.
On 26 July 2012, a bill was introduced in the House of Lords to grant a statutory pardon to Turing for offences under section 11 of the Criminal Law Amendment Act 1885, of which he was convicted on 31 March 1952. Late in the year in a letter to The Daily Telegraph, the physicist Stephen Hawking and 10 other signatories including the Astronomer Royal Lord Rees, President of the Royal Society Sir Paul Nurse, Lady Trumpington (who worked for Turing during the war) and Lord Sharkey (the bill's sponsor) called on Prime Minister David Cameron to act on the pardon request. The government indicated it would support the bill, and it passed its third reading in the House of Lords in October. | [
0.0483345165848732,
-0.048047665506601334,
-0.013223865069448948,
0.03032022900879383,
-0.012320281937718391,
-0.04859268292784691,
-0.00894977431744337,
-0.033360857516527176,
-0.022689972072839737,
0.015805531293153763,
-0.04081900045275688,
-0.003997995983809233,
0.00009580399637343362,
-0.013582429848611355,
-0.040302667766809464,
-0.013862109743058681,
0.016723455861210823,
-0.012384823523461819,
0.017698751762509346,
-0.003452977864071727,
0.06815597414970398,
0.010348176583647728,
-0.018645362928509712,
-0.04816240817308426,
-0.014607924968004227,
0.026390360668301582,
0.021112287417054176,
-0.030521024018526077,
0.036946505308151245,
0.004277676343917847,
0.042855650186538696,
-0.012807929888367653,
-0.002388040767982602,
-0.04058952257037163,
0.0046864403411746025,
-0.06115679070353508,
0.028728201985359192,
-0.05134646221995354,
0.046613406389951706,
-0.01876010373234749,
-0.024066859856247902,
-0.06115679070353508,
-0.000024777378712315112,
-0.06259104609489441,
-0.06660697609186172,
-0.02474096231162548,
0.010914708487689495,
0.029115451499819756,
-0.00435656076297164,
-0.028814256191253662,
-0.00321811786852777,
-0.008383242413401604,
0.031553689390420914,
-0.028771229088306427,
-0.005600780248641968,
-0.05134646221995354,
-0.008189616724848747,
-0.027537766844034195,
-0.04248274117708206,
-0.02567323110997677,
0.014858920127153397,
0.027537766844034195,
0.0174979567527771,
-0.04388831555843353,
0.01025494933128357,
0.014887604862451553,
0.02032344602048397,
-0.009279653429985046,
-0.023435786366462708,
-0.014550554566085339,
0.005367713049054146,
0.0037183156237006187,
-0.012822272256016731,
-0.026289962232112885,
0.021298741921782494,
-0.015403938479721546,
-0.0042238919995725155,
-0.029775209724903107,
-0.024396739900112152,
0.01399836502969265,
-0.04555205628275871,
0.03252898529171944,
-0.00435656076297164,
0.011165703646838665,
0.00111513608135283,
-0.03840944916009903,
0.06884441524744034,
0.05825958773493767,
-0.005762134213000536,
-0.001594716333784163,
0.014622267335653305,
-0.006500777322798967,
-0.015705132856965065,
0.015518679283559322,
0.028613461181521416,
0.01900392770767212,
-0.016020668670535088,
-0.0016054733423516154,
-0.009889213368296623,
-0.023607898503541946,
0.0010756939882412553,
0.0651727169752121,
-0.009408736601471901,
0.06907390058040619,
0.018860502168536186,
0.019462890923023224,
-0.06987708061933517,
0.016723455861210823,
0.031553689390420914,
-0.00603822898119688,
0.016436604782938957,
0.011882833205163479,
0.0063573517836630344,
-0.043773576617240906,
0.004754567518830299,
0.010082838125526905,
0.005263729486614466,
0.03938474506139755,
-0.028269238770008087,
0.04276959225535393,
-0.0003370507911313325,
0.019104326143860817,
0.047273166477680206,
0.043027762323617935,
-0.04018792882561684,
-0.007422288879752159,
0.03574172779917717,
0.007694798056036234,
0.014019878581166267,
0.001898599904961884,
0.04930981248617172,
-0.004446201957762241,
-0.023392759263515472,
-0.05682532861828804,
0.011423869989812374,
0.03622937574982643,
0.03100867196917534,
0.03688913211226463,
0.03023417294025421,
-0.006550976540893316,
-0.01399119384586811,
-0.02590271271765232,
-0.010190407745540142,
0.07068026810884476,
-0.004338632337749004,
-0.008196788839995861,
-0.03057839535176754,
0.03284452483057976,
0.003363336669281125,
-0.0055075534619390965,
-0.0483345165848732,
-0.00924379751086235,
-0.011323472484946251,
0.01470115128904581,
0.012291597202420235,
-0.00892108865082264,
-0.018645362928509712,
-0.007038624491542578,
0.02957441471517086,
0.052120961248874664,
-0.04649866744875908,
0.05389944091439247,
-0.030951302498579025,
0.06132890284061432,
0.03049233928322792,
-0.02449713833630085,
-0.022603916004300117,
0.020595954731106758,
0.027064461261034012,
0.0027752905152738094,
-0.0016395369311794639,
0.014572068117558956,
-0.053526535630226135,
0.02783896028995514,
0.041450075805187225,
0.05639505013823509,
0.01734018698334694,
-0.010943394154310226,
0.0002209654776379466,
-0.003747000824660063,
-0.02590271271765232,
0.004740225151181221,
0.012449365109205246,
0.06941811740398407,
-0.04084768891334534,
-0.01941986195743084,
0.02732262760400772,
-0.023364074528217316,
0.009344195015728474,
-0.025931397452950478,
0.02042384445667267,
0.02207324095070362,
-0.030807876959443092,
0.004876479506492615,
0.013094781897962093,
0.04469149932265282,
-0.029775209724903107,
0.027968043461441994,
0.013109124265611172,
-0.01682385429739952,
-0.03324611485004425,
0.016766484826803207,
0.02616087906062603,
0.0365162268280983,
0.0022679215762764215,
0.0026229005306959152,
0.044289909303188324,
0.029889950528740883,
-0.022532204166054726,
0.04202377796173096,
0.004675683099776506,
-0.05057195946574211,
0.03255767375230789,
0.015848558396100998,
0.03823733702301979,
0.02167164906859398,
-0.0241672582924366,
0.023708296939730644,
-0.0037362438160926104,
0.055448438972234726,
-0.009774472564458847,
0.0321560800075531,
0.027064461261034012,
0.026117850095033646,
-0.002214136766269803,
-0.003940625581890345,
0.042712222784757614,
0.05633768066763878,
-0.03597120940685272,
-0.0027071633376181126,
-0.00395496841520071,
0.03582778200507164,
-0.005511139053851366,
-0.00262469332665205,
0.02683497965335846,
-0.01798560470342636,
0.016121067106723785,
0.055018164217472076,
-0.004127079155296087,
0.03688913211226463,
-0.06930337846279144,
0.015346568077802658,
0.05926356837153435,
0.019534602761268616,
0.03425009921193123,
0.0025171239394694567,
0.022101925686001778,
0.0217577051371336,
-0.010921879671514034,
0.019462890923023224,
-0.019376834854483604,
0.03823733702301979,
0.014844577759504318,
0.003472698852419853,
-0.03450826555490494,
0.018042974174022675,
0.07515515387058258,
0.033877190202474594,
-0.01798560470342636,
-0.06115679070353508,
0.025544147938489914,
0.02040950022637844,
0.030176803469657898,
-0.057542458176612854,
-0.015891585499048233,
0.024798331782221794,
0.013030240312218666,
0.03688913211226463,
-0.02524295262992382,
-0.02857043221592903,
-0.03425009921193123,
-0.0454946868121624,
-0.047359220683574677,
0.005281657446175814,
-0.049940887838602066,
-0.009365709498524666,
-0.02016567625105381,
-0.008856547065079212,
0.07251612097024918,
-0.06821334362030029,
0.013023069128394127,
-0.017354529350996017,
-0.0028201111126691103,
-0.008153760805726051,
0.0035103480331599712,
-0.024281999096274376,
-0.03766363486647606,
-0.004331461153924465,
0.0074653164483606815,
0.008046191185712814,
0.011316301301121712,
-0.05255123972892761,
-0.027451710775494576,
-0.005385641474276781,
-0.008863718248903751,
0.025558490306138992,
-0.03858155757188797,
0.06201734393835068,
-0.036114633083343506,
0.005909145809710026,
0.00816810317337513,
-0.02657681331038475,
0.022876426577568054,
-0.05909145623445511,
0.02167164906859398,
0.01941986195743084,
0.05748508870601654,
-0.044031742960214615,
0.05048590525984764,
0.004962535109370947,
-0.004833451937884092,
-0.009272482246160507,
-0.012198369950056076,
0.02415291592478752,
-0.05384207144379616,
0.022144954651594162,
0.022890768945217133,
0.041048482060432434,
0.004188035149127245,
-0.03964291140437126,
-0.03175448626279831,
-0.019305121153593063,
-0.05484605208039284,
-0.02390909194946289,
-0.03594252094626427,
0.022360092028975487,
0.0025476019363850355,
-0.025601517409086227,
-0.0007444698712788522,
-0.021628620103001595,
-0.0017488992307335138,
-0.027881989255547523,
-0.027537766844034195,
-0.006267710588872433,
0.00683065690100193,
0.011115504428744316,
0.06408267468214035,
0.003969310782849789,
-0.014399956911802292,
-0.039442114531993866,
0.00837607029825449,
-0.008677264675498009,
0.004976877477020025,
0.037376780062913895,
-0.03227081894874573,
0.04308513179421425,
0.035540930926799774,
-0.014572068117558956,
-0.022388778626918793,
-0.007630256004631519,
-0.02316327765583992,
0.018272455781698227,
0.005927074234932661,
-0.019290778785943985,
-0.028039757162332535,
0.04064689204096794,
-0.0168381966650486,
-0.011022278107702732,
-0.012764901854097843,
0.04159350320696831,
-0.0168381966650486,
0.014901948161423206,
0.000692926230840385,
0.038380760699510574,
-0.017182419076561928,
-0.03674570843577385,
-0.01941986195743084,
-0.0016009912360459566,
0.03075050562620163,
-0.03373376280069351,
0.01445732731372118,
-0.038036540150642395,
-0.017268475145101547,
0.010699570178985596,
-0.026949720457196236,
-0.014364100992679596,
0.05481736734509468,
-0.014077248983085155,
0.00460397033020854,
-0.04431859403848648,
-0.017870863899588585,
0.0017453135224059224,
-0.013467689044773579,
0.012994383461773396,
-0.023019852116703987,
-0.01708202064037323,
0.004274090752005577,
0.03238556161522865,
-0.029373617842793465,
0.03310269117355347,
-0.005432254634797573,
-0.001220016274601221,
0.004220306407660246,
-0.07142608612775803,
-0.030549710616469383,
-0.01182546280324459,
0.04365883395075798,
-0.005127474665641785,
0.016450947150588036,
0.02574494294822216,
0.07383563369512558,
0.02032344602048397,
-0.032787155359983444,
0.04466281458735466,
-0.029717840254306793,
-0.0227473434060812,
-0.03508196771144867,
0.06976234167814255,
-0.017684409394860268,
-0.023636583238840103,
-0.017555326223373413,
0.02032344602048397,
0.039442114531993866,
0.031697116792201996,
0.021772047504782677,
-0.04282696545124054,
-0.04406042769551277,
-0.031553689390420914,
0.0164079200476408,
-0.021112287417054176,
-0.06173049286007881,
-0.04018792882561684,
0.031094728037714958,
0.03955685347318649,
0.050600647926330566,
-0.013733026571571827,
0.020552927628159523,
0.0031464050989598036,
0.0033812648616731167,
-0.0038509846199303865,
0.06523008644580841,
-0.05022773891687393,
-0.0027232987340539694,
-0.03189791366457939,
-0.014572068117558956,
0.016637401655316353,
0.00410556560382247,
0.0006463128374889493,
0.003911940380930901,
-0.04799029603600502,
0.03132421150803566,
0.03858155757188797,
-0.010635028593242168,
-0.00460397033020854,
-0.03665965050458908,
-0.030291544273495674,
0.034881170839071274,
0.01650831662118435,
-0.012893985956907272,
-0.0011258930899202824,
0.04050346463918686,
-0.06305000931024551,
0.03772100433707237,
-0.0509735532104969,
-0.0012540799798443913,
-0.005579266231507063,
0.030779192224144936,
0.014170476235449314,
0.02042384445667267,
-0.0007153365295380354,
-0.03817996755242348,
-0.001950591802597046,
0.003363336669281125,
-0.046383924782276154,
0.010183236561715603,
0.0800316333770752,
0.04354409500956535,
0.02141348272562027,
0.0032019824720919132,
0.0013939201598986983,
0.0033525796607136726,
0.03152500465512276,
0.028771229088306427,
-0.039614226669073105,
0.029803896322846413,
0.02240312099456787,
0.058030106127262115,
-0.021858101710677147,
0.008971287868916988,
-0.01716807670891285,
-0.01211948599666357,
0.0038760839961469173,
0.002739434130489826,
-0.009774472564458847,
-0.00564380781725049,
-0.0406755767762661,
-0.03746283799409866,
-0.0072824484668672085,
-0.03126683831214905,
-0.028269238770008087,
0.0174979567527771,
0.03364770859479904,
-0.03422141075134277,
0.020452529191970825,
-0.028470035642385483,
0.03023417294025421,
-0.03132421150803566,
-0.05851775407791138,
-0.0028631389141082764,
0.014988003298640251,
0.02332104556262493,
0.02132742665708065,
0.0007193703786469996,
0.005066518671810627,
-0.004618313163518906,
-0.02925887703895569,
-0.047674760222435,
-0.020538585260510445,
0.02408120408654213,
0.03823733702301979,
0.00499839149415493,
-0.04282696545124054,
0.00030298714409582317,
0.010140208527445793,
0.007608742453157902,
-0.005754963029175997,
0.03591383621096611,
-0.040876373648643494,
-0.013811911456286907,
0.07182767242193222,
0.03539750352501869,
-0.043199870735406876,
0.005952173378318548,
0.014930632896721363,
-0.02558717504143715,
-0.004535843152552843,
0.01876010373234749,
-0.03938474506139755,
-0.02281905524432659,
-0.10659410804510117,
0.00007333768007811159,
-0.10429929196834564,
-0.023306703194975853,
-0.0568540133535862,
-0.036286745220422745,
-0.021313084289431572,
0.018358511850237846,
-0.011925861239433289,
-0.01692425273358822,
-0.0044246879406273365,
-0.028183182701468468,
0.03594252094626427,
0.008928260765969753,
0.01865970529615879,
-0.0419950932264328,
-0.041364021599292755,
0.0025081599596887827,
0.02258957363665104,
0.03760626167058945,
0.04202377796173096,
0.001081968890503049,
0.05656716227531433,
-0.005156159866601229,
0.000868622912093997,
-0.03835207596421242,
-0.01504537370055914,
-0.0019685199949890375,
0.039040520787239075,
0.012721874751150608,
0.05825958773493767,
-0.008017506450414658,
-0.00015014896052889526,
0.04956797882914543,
-0.0021065673790872097,
-0.026677211746573448,
-0.02825489640235901,
-0.01320235151797533,
-0.04431859403848648,
0.049195073544979095,
-0.016450947150588036,
0.06534482538700104,
0.010513116605579853,
0.024095546454191208,
0.03049233928322792,
0.027207886800169945,
-0.012642989866435528,
0.00013031584967393428,
-0.019620658829808235,
-0.02824055403470993,
0.03132421150803566,
0.004238234367221594,
-0.004707954358309507,
0.028369637206196785,
-0.01033383421599865,
0.05860380828380585,
-0.07119660079479218,
-0.02773856371641159,
0.08140852302312851,
-0.008340214379131794,
-0.03927000239491463,
-0.0638531967997551,
0.03513933718204498,
-0.015102744102478027,
-0.0209975466132164,
-0.04974009096622467,
0.0036179174203425646,
0.006031057797372341,
-0.03009074740111828,
-0.051375146955251694,
-0.03255767375230789,
-0.03688913211226463,
0.01784217730164528,
0.04190903902053833,
0.0009430251084268093,
0.04664209112524986,
-0.019577631726861,
-0.022015871480107307,
-0.054128922522068024,
0.004636241123080254,
-0.06270579248666763,
0.029689155519008636,
0.01449318416416645,
0.00005798663187306374,
0.0461544431746006,
-0.027050118893384933,
0.008870890364050865,
-0.07142608612775803,
-0.04830583184957504,
-0.00460397033020854,
-0.027365656569600105,
-0.029129793867468834,
0.009473278187215328,
0.03516802191734314,
-0.03000469133257866,
-0.022632602602243423,
-0.03964291140437126,
-0.05415760725736618,
-0.02441108226776123,
-0.02974652498960495,
-0.012865300290286541,
0.02657681331038475,
0.0155330216512084,
-0.01974974200129509,
0.04360146448016167,
-0.005991615820676088,
-0.0059987870045006275,
-0.016938595101237297,
0.04925244301557541,
-0.0037864430341869593,
0.01867404766380787,
0.06597589701414108,
-0.015489993616938591,
-0.03057839535176754,
-0.06528745591640472,
0.003517519449815154,
0.010864509269595146,
0.01908998377621174,
0.04563811048865318,
-0.017612697556614876,
0.0336763933300972,
0.05232175812125206,
-0.00924379751086235,
0.022044556215405464,
-0.026806294918060303,
-0.005450183060020208,
0.007752167992293835,
0.009129056707024574,
0.000498404901009053,
-0.02349315769970417,
-0.0021890373900532722,
-0.024138573557138443,
0.002133459784090519,
-0.047273166477680206,
-0.03083656169474125,
-0.008254158310592175,
0.03126683831214905,
0.006554562132805586,
-0.011301958002150059,
-0.05493210628628731,
-0.04649866744875908,
0.003476284444332123,
-0.037290725857019424,
0.0070493812672793865,
-0.023708296939730644,
0.020380815491080284,
-0.020768065005540848,
-0.03152500465512276,
-0.036028578877449036,
0.0045035723596811295,
-0.0752125233411789,
-0.025773627683520317,
-0.031611062586307526,
0.024798331782221794,
-0.025458091869950294,
-0.005500382278114557,
0.006719502154737711,
-0.05484605208039284,
-0.05966516211628914,
-0.021772047504782677,
-0.0058912173844873905,
-0.023693952709436417,
-0.010183236561715603,
0.024454111233353615,
-0.007458145264536142,
-0.019850140437483788,
0.02300550974905491,
-0.0227473434060812,
-0.05114566534757614,
0.04500703886151314,
0.04962535202503204,
-0.007780853193253279,
0.014055735431611538,
0.03272978216409683,
0.04658472165465355,
-0.01581987366080284,
-0.0496540367603302,
0.003047799691557884,
0.01136650051921606,
0.03181185945868492,
-0.012248569168150425,
0.021528223529458046,
0.04268353804945946,
0.01840153895318508,
-0.027179202064871788,
0.026275619864463806,
-0.028369637206196785,
0.018516279757022858,
-0.02366526797413826,
-0.01429238822311163,
-0.010097181424498558,
0.00647926377132535,
0.014758521690964699,
-0.0037039730232208967,
0.04996957257390022,
0.006482849363237619,
-0.015604734420776367,
-0.03539750352501869,
-0.02023738995194435,
-0.013560916297137737,
0.027193544432520866,
0.025458091869950294,
-0.05309625715017319,
0.0809495598077774,
-0.02465490624308586,
0.003922697622328997,
-0.01675214059650898,
0.01708202064037323,
-0.034709058701992035,
0.02042384445667267,
0.016479631885886192,
0.00373982940800488,
0.02699274756014347,
-0.03992976248264313,
-0.01267167553305626,
-0.013933823443949223,
-0.06305000931024551,
0.0060454001650214195,
-0.06127152964472771,
-0.003980068024247885,
0.020638981834053993,
0.033791135996580124,
-0.02082543633878231,
-0.008282843977212906,
-0.009365709498524666,
-0.022187981754541397,
0.029344933107495308,
0.0077736820094287395,
0.007594399619847536,
-0.020466871559619904,
0.011108333244919777,
0.007486830465495586,
-0.02290511131286621,
0.006590418517589569,
-0.021858101710677147,
-0.005443011876195669,
0.01974974200129509,
-0.03597120940685272,
0.009473278187215328,
0.07515515387058258,
0.01659437268972397,
0.006920298095792532,
-0.02158559300005436,
-0.0067410157062113285,
0.00589480297639966,
-0.024783989414572716,
0.0009573676506988704,
0.020136991515755653,
0.025214267894625664,
0.037864428013563156,
0.0034852486569434404,
0.02190113067626953,
0.008246987126767635,
0.018200742080807686,
0.007551372051239014,
-0.00005994753155391663,
-0.010613514110445976,
0.004668511915951967,
0.03706124424934387,
-0.009824671782553196,
0.012198369950056076,
-0.02007962204515934,
0.024439768865704536,
0.0021011889912188053,
0.019979223608970642,
-0.026978405192494392,
0.06741015613079071,
0.029631784185767174,
0.00747965881600976,
-0.01992185227572918,
0.032959263771772385,
0.007680455222725868,
-0.05375601723790169,
0.026548128575086594,
0.016364891082048416,
0.003782857209444046,
-0.01590592972934246,
0.02073938027024269,
-0.02248917706310749,
-0.02732262760400772,
-0.015074058435857296,
-0.034709058701992035,
0.05983727052807808,
-0.0651727169752121,
-0.024554507806897163,
0.02933059073984623,
-0.07205715775489807,
0.07446671277284622,
-0.026978405192494392,
0.004951778333634138,
-0.023866064846515656,
-0.015074058435857296,
0.048449259251356125,
0.017368873581290245,
0.01709636300802231,
-0.011172874830663204,
0.039786335080862045,
0.00554340984672308,
0.029803896322846413,
-0.011481240391731262,
-0.033963244408369064,
-0.028340952470898628,
0.029129793867468834,
0.003546204650774598,
0.007945792749524117,
0.01295135635882616,
0.02091149240732193,
0.024626221507787704,
-0.019032612442970276,
0.015160114504396915,
0.00014499458484351635,
-0.056940071284770966,
0.027552109211683273,
-0.03241424635052681,
0.0023557699751108885,
-0.007393603678792715,
0.026605498045682907,
-0.02423897199332714,
0.011258930899202824,
0.02815449796617031,
0.00043610428110696375,
-0.00328983087092638,
0.028183182701468468,
-0.009738616645336151,
0.02773856371641159,
-0.008612723089754581,
0.04575285315513611,
0.02281905524432659,
-0.06597589701414108,
0.015375252813100815,
-0.05432971939444542,
-0.00361612462438643,
0.006178069394081831,
-0.004804766736924648,
0.01029080618172884,
0.046785518527030945,
-0.02557283267378807,
-0.0012612512800842524,
-0.024052517488598824,
-0.01450035534799099,
-0.021184001117944717,
-0.0020276831928640604,
-0.007608742453157902,
-0.02758079394698143,
-0.004553771112114191,
0.013216693885624409,
0.0013544780667871237,
0.019046954810619354,
-0.0011357535840943456,
0.04176561161875725,
0.01874576136469841,
-0.01956328935921192,
-0.009121885523200035,
-0.004439030773937702,
0.008297186344861984,
-0.028541747480630875,
0.027179202064871788,
-0.03660228103399277,
-0.052608609199523926,
-0.02075372263789177,
-0.06878704577684402,
-0.039212632924318314,
0.010491602122783661,
-0.0038724984042346478,
0.02448279596865177,
0.06173049286007881,
0.04847794398665428,
-0.0009977061999961734,
0.025099527090787888,
-0.018444566056132317,
0.015174456872045994,
0.06442689895629883,
0.017956918105483055,
0.011524268426001072,
-0.004521500319242477,
-0.024052517488598824,
0.006633446551859379,
0.015346568077802658,
0.032873209565877914,
0.010140208527445793,
0.02200152911245823,
-0.030291544273495674,
0.009286824613809586,
-0.02323499135673046,
-0.03949948400259018,
-0.06270579248666763,
-0.004826280288398266,
0.0013374462723731995,
0.04288433492183685,
-0.011997574009001255,
-0.03493854030966759,
-0.0030603494960814714,
-0.037778373807668686,
0.0216573067009449,
0.009530648589134216,
0.016293179243803024,
-0.00489440793171525,
0.03338954225182533,
0.004912335891276598,
-0.06046834588050842,
0.24118493497371674,
0.05510421842336655,
0.0178278349339962,
0.02333538793027401,
0.004880065098404884,
0.02174336090683937,
0.01650831662118435,
0.011968888342380524,
-0.004342218395322561,
0.011947374790906906,
-0.027537766844034195,
0.011961717158555984,
0.028957683593034744,
-0.031467635184526443,
-0.0120836291462183,
0.03152500465512276,
-0.04408911243081093,
-0.013654142618179321,
0.006959740072488785,
-0.04664209112524986,
-0.06264842301607132,
0.020309103652834892,
-0.036458857357501984,
0.015031031332910061,
0.01949157565832138,
0.00697766849771142,
-0.007558543235063553,
-0.048621367663145065,
0.015676448121666908,
-0.014600753784179688,
0.0262469332665205,
0.005231458693742752,
0.02608916535973549,
-0.09758695960044861,
-0.02390909194946289,
-0.014299559406936169,
-0.018874844536185265,
-0.036028578877449036,
0.03255767375230789,
0.04288433492183685,
0.032213449478149414,
0.032041337341070175,
-0.02442542463541031,
-0.03218476474285126,
0.03123815357685089,
0.023034194484353065,
-0.043199870735406876,
0.03992976248264313,
0.029359275475144386,
-0.029187163338065147,
0.026849322021007538,
0.002264335984364152,
0.02092583477497101,
-0.01690991036593914,
-0.03608594834804535,
-0.01917603798210621,
0.025042155757546425,
0.01270753238350153,
-0.03298794850707054,
-0.010348176583647728,
0.012571277096867561,
0.014113105833530426,
0.04601101949810982,
0.021929815411567688,
-0.010176065377891064,
0.01699596457183361,
-0.01832982525229454,
0.05630899593234062,
-0.013446175493299961,
0.03138158097863197,
-0.017125049605965614,
0.030176803469657898,
-0.03608594834804535,
-0.0072824484668672085,
0.008591209538280964,
0.015317882411181927,
0.02633298933506012,
0.03264372795820236,
0.04239668697118759,
-0.004876479506492615,
-0.0005772891454398632,
-0.004119907971471548,
-0.03209871053695679,
0.015489993616938591,
0.02032344602048397,
0.02240312099456787,
-0.015160114504396915,
-0.013532230630517006,
-0.007017110474407673,
0.05057195946574211,
-0.0032145322766155005,
-0.014873262494802475,
0.0060454001650214195,
-0.016063697636127472,
0.007537029217928648
] |
1208_18 | At the bill's second reading in the House of Commons on 29 November 2013, Conservative MP Christopher Chope objected to the bill, delaying its passage. The bill was due to return to the House of Commons on 28 February 2014, but before the bill could be debated in the House of Commons, the government elected to proceed under the royal prerogative of mercy. On 24 December 2013, Queen Elizabeth II signed a pardon for Turing's conviction for "gross indecency", with immediate effect. Announcing the pardon, Lord Chancellor Chris Grayling said Turing deserved to be "remembered and recognised for his fantastic contribution to the war effort" and not for his later criminal conviction. The Queen officially pronounced Turing pardoned in August 2014. The Queen's action is only the fourth royal pardon granted since the conclusion of the Second World War. Pardons are normally granted only when the person is technically innocent, and a request has been made by the family or other interested party; neither condition was met in regard to Turing's conviction.
In September 2016, the government announced its intention to expand this retroactive exoneration to other men convicted of similar historical indecency offences, in what was described as an "Alan Turing law". The Alan Turing law is now an informal term for the law in the United Kingdom, contained in the Policing and Crime Act 2017, which serves as an amnesty law to retroactively pardon men who were cautioned or convicted under historical legislation that outlawed homosexual acts. The law applies in England and Wales.
Legacy
Awards, honours, and tributes
Turing was appointed an officer of the Order of the British Empire in 1946. He was also elected a Fellow of the Royal Society (FRS) in 1951. | [
0.01819479838013649,
-0.05577227100729942,
-0.0166737362742424,
0.027712300419807434,
-0.03517274558544159,
-0.04621130973100662,
-0.005425121169537306,
-0.04690665379166603,
-0.03213062137365341,
0.02682863548398018,
-0.036302678287029266,
0.012885567732155323,
0.02078784629702568,
-0.017687777057290077,
-0.028900176286697388,
0.00972031056880951,
-0.005512038711458445,
-0.012342330999672413,
-0.011060293763875961,
0.03201473131775856,
0.05487412214279175,
0.03230445832014084,
-0.029986649751663208,
-0.05525076389312744,
-0.007355420850217342,
0.024119697511196136,
0.016485413536429405,
-0.02065747044980526,
0.044125281274318695,
0.06889685988426208,
0.024583257734775543,
0.014406629838049412,
0.018977059051394463,
-0.039489664137363434,
0.0083368681371212,
-0.04409630969166756,
0.019628942012786865,
-0.03392692282795906,
0.04047473520040512,
-0.003639684058725834,
-0.0009053940302692354,
-0.023989319801330566,
-0.01224092673510313,
-0.05527973547577858,
-0.07451754808425903,
-0.014037229120731354,
0.01116169709712267,
0.010625704191625118,
-0.011886012740433216,
-0.045342132449150085,
-0.018571441993117332,
-0.0007292949012480676,
0.019237812608480453,
-0.052875012159347534,
-0.01971586048603058,
-0.016760654747486115,
-0.007018614560365677,
-0.03273904696106911,
-0.03705596551299095,
-0.008691782131791115,
0.0030475561507046223,
0.040156036615371704,
0.0015355482464656234,
-0.030826855450868607,
0.022482743486762047,
0.014602194540202618,
0.010060738772153854,
-0.041112132370471954,
-0.0042951893992722034,
-0.013407074846327305,
0.01873079128563404,
-0.0010493516456335783,
-0.04838425666093826,
-0.005740197841078043,
0.000009244921784556936,
-0.02556832693517208,
0.002593048382550478,
-0.010502570308744907,
-0.002998664975166321,
-0.0057039824314415455,
-0.030826855450868607,
0.0033861736301332712,
-0.015109214931726456,
0.007822603918612003,
-0.004668211564421654,
-0.032912883907556534,
0.050702065229415894,
0.06171165779232979,
-0.004421944264322519,
-0.0019737589173018932,
-0.007206936366856098,
-0.011661474592983723,
-0.03271007537841797,
-0.006678186357021332,
-0.005631550680845976,
0.013493992388248444,
-0.005566362291574478,
-0.020179422572255135,
-0.01776020973920822,
-0.01696346141397953,
0.0035219828132539988,
0.02966795116662979,
0.011400721035897732,
0.07202590256929398,
0.016891030594706535,
0.0060733831487596035,
-0.05782932788133621,
0.000633775838650763,
-0.006605754606425762,
-0.01100959163159132,
0.036041926592588425,
0.012581354938447475,
0.013385345228016376,
-0.05023850500583649,
0.02091822400689125,
0.010582244955003262,
-0.014319711364805698,
0.027552951127290726,
-0.01032873522490263,
0.05933590233325958,
0.01684757135808468,
0.03184089809656143,
0.048500146716833115,
0.041372884064912796,
-0.03172500804066658,
-0.011849797330796719,
-0.00026120617985725403,
-0.004932586569339037,
0.02391688898205757,
-0.006757861003279686,
0.020295312628149986,
0.000632870418485254,
-0.0435168594121933,
-0.04919549077749252,
0.030479183420538902,
0.03691110387444496,
0.02503233402967453,
0.06739028543233871,
0.005497552454471588,
-0.022381339222192764,
-0.020556066185235977,
-0.02668377198278904,
-0.010806783102452755,
0.04021397978067398,
0.012957999482750893,
-0.01791955903172493,
-0.026220209896564484,
0.031232472509145737,
-0.0033209852408617735,
-0.017861614003777504,
-0.03421664983034134,
0.009140858426690102,
0.005530146881937981,
0.011132724583148956,
0.006884616333991289,
0.0175139419734478,
-0.010031765326857567,
-0.02077336050570011,
-0.0011643366888165474,
0.041807472705841064,
-0.05585918948054314,
0.014392143115401268,
-0.013696800917387009,
0.051803022623062134,
0.03169603273272514,
-0.04253178834915161,
0.004813074599951506,
0.02010698989033699,
0.002337727462872863,
0.009531987830996513,
0.003972868900746107,
0.004088759422302246,
-0.02433699183166027,
0.011675961315631866,
0.05580124258995056,
0.0662313848733902,
-0.007540121208876371,
0.01723870262503624,
-0.012168495915830135,
-0.023786511272192,
-0.04687768220901489,
0.01086472813040018,
0.017166269943118095,
0.05678631365299225,
-0.04571877792477608,
-0.005693117622286081,
-0.011646988801658154,
-0.009734796360135078,
0.00540701299905777,
-0.021714970469474792,
0.010748838074505329,
0.017455996945500374,
-0.023351922631263733,
0.02117897756397724,
0.024800552055239677,
0.0371718555688858,
-0.0190060306340456,
0.02177291549742222,
0.02174394205212593,
0.013899608515202999,
-0.016239147633314133,
0.021309353411197662,
0.01955651119351387,
0.055598434060811996,
-0.01081402599811554,
-0.010198358446359634,
0.07700919359922409,
0.03349233418703079,
-0.02190329134464264,
0.012182981707155704,
-0.03363719955086708,
-0.014891920611262321,
0.014044472016394138,
0.012009146623313427,
0.04377761110663414,
0.02214955911040306,
-0.01484846230596304,
-0.007406122982501984,
0.003158014267683029,
0.04516829550266266,
-0.0005491214687936008,
0.04296637699007988,
0.03488302230834961,
0.01299421489238739,
-0.0170938391238451,
-0.018803222104907036,
0.04461781680583954,
0.06437713652849197,
-0.02694452553987503,
-0.00632327189669013,
-0.006678186357021332,
0.04687768220901489,
-0.0036994400434195995,
0.0009108263766393065,
0.020758874714374542,
0.0009158060420304537,
-0.015514831990003586,
0.07324275374412537,
-0.011523854918777943,
0.022193018347024918,
-0.05388905107975006,
0.009430584497749805,
0.04760199412703514,
0.011690447106957436,
0.02104859985411167,
0.029074013233184814,
0.04032986983656883,
0.012211954221129417,
0.004356755875051022,
0.03421664983034134,
0.026234697550535202,
0.032883912324905396,
-0.002406537299975753,
0.01545688696205616,
-0.020208394154906273,
0.02475709468126297,
0.08407851308584213,
-0.0039945985190570354,
-0.018499011173844337,
-0.06472481042146683,
0.024974389001727104,
0.014718085527420044,
0.026075348258018494,
-0.053164735436439514,
-0.005551876034587622,
0.034680213779211044,
0.008358597755432129,
0.028566991910338402,
-0.035085827112197876,
-0.05145535245537758,
-0.014102417044341564,
-0.04748610407114029,
-0.04235795512795448,
0.00896702241152525,
-0.06993987411260605,
-0.03140630945563316,
-0.005874196533113718,
-0.005758306011557579,
0.07996439933776855,
-0.05950973927974701,
0.017571887001395226,
-0.012986971996724606,
-0.013211509212851524,
-0.016326064243912697,
-0.008481730706989765,
-0.039605554193258286,
-0.05467131361365318,
-0.00587781798094511,
-0.016369523480534554,
0.00639208173379302,
0.003121798625215888,
-0.045226242393255234,
-0.055830217897892,
0.005776413716375828,
-0.007547364570200443,
-0.008742484264075756,
-0.03856254369020462,
0.03233342990279198,
-0.04484959691762924,
0.005421499256044626,
0.008764213882386684,
-0.06414535641670227,
0.0032793371938169003,
-0.0331156924366951,
0.012487194500863552,
0.02107757329940796,
0.061885491013526917,
-0.021642537787556648,
0.04696459695696831,
0.0065586743876338005,
-0.04409630969166756,
-0.009162587113678455,
0.009235018864274025,
0.015963906422257423,
-0.05441055819392204,
0.022902846336364746,
0.01803544908761978,
0.03363719955086708,
-0.0061421929858624935,
-0.045747749507427216,
-0.04195233806967735,
-0.0127334613353014,
-0.04461781680583954,
-0.047949668020009995,
-0.021830860525369644,
0.017064865678548813,
0.0021258650813251734,
-0.01847003772854805,
0.008735241368412971,
0.004700805526226759,
-0.007087424397468567,
-0.040011171251535416,
-0.04018500819802284,
-0.0034730914048850536,
0.01203811913728714,
-0.01374025922268629,
0.046558983623981476,
0.007123640272766352,
0.007225044071674347,
-0.034419458359479904,
-0.020556066185235977,
-0.026915553957223892,
-0.00945231318473816,
0.006265326403081417,
-0.04731227084994316,
0.026480963453650475,
0.026060860604047775,
0.005780035629868507,
-0.03476712852716446,
-0.0022109721321612597,
0.00978549849241972,
0.018368633463978767,
0.003893194254487753,
-0.017455996945500374,
-0.020729901269078255,
0.02803099900484085,
-0.0022779712453484535,
-0.022221989929676056,
-0.02245377190411091,
0.05594610795378685,
-0.019353702664375305,
-0.010857485234737396,
-0.021236922591924667,
0.041372884064912796,
-0.012009146623313427,
-0.03239137679338455,
-0.020570551976561546,
-0.00008844567491905764,
0.019614456221461296,
-0.02558281272649765,
0.009930361993610859,
-0.007692227605730295,
-0.015181646682322025,
0.03079788200557232,
-0.04018500819802284,
0.00200092070735991,
0.04621130973100662,
-0.022077128291130066,
0.018136853352189064,
-0.03621575981378555,
-0.004660968203097582,
0.004624752793461084,
-0.023351922631263733,
0.026567881926894188,
-0.035201720893383026,
-0.00807611458003521,
-0.007018614560365677,
0.026336101815104485,
0.0037664391566067934,
0.035375554114580154,
-0.011509369127452374,
0.011886012740433216,
-0.023308463394641876,
-0.04088035225868225,
-0.03552041947841644,
-0.02012147754430771,
0.03925788402557373,
-0.011799095198512077,
0.000630606955382973,
0.05380213260650635,
0.07104083895683289,
0.036737266927957535,
-0.030160484835505486,
0.030044594779610634,
-0.0322754867374897,
-0.030334321781992912,
-0.039895281195640564,
0.07712508738040924,
-0.004896370694041252,
-0.010212844237685204,
-0.024655690416693687,
-0.0001157206716015935,
0.04447295516729355,
0.018687332049012184,
0.03841767832636833,
-0.02859596535563469,
-0.05270117521286011,
-0.05626480653882027,
0.010995104908943176,
-0.009691337123513222,
-0.0647827535867691,
-0.03007356822490692,
0.03169603273272514,
0.047109462320804596,
0.026770690456032753,
-0.02393137477338314,
0.011958444491028786,
-0.012190224602818489,
0.02984178625047207,
0.011625259183347225,
0.0380120612680912,
-0.023496786132454872,
0.018223769962787628,
-0.03641856834292412,
-0.020715415477752686,
0.0273791141808033,
-0.023569216951727867,
0.01161801628768444,
0.012306115590035915,
-0.012791406363248825,
0.023467812687158585,
0.05472925677895546,
-0.014421115629374981,
-0.038359735161066055,
-0.027292197570204735,
-0.003268472384661436,
0.027060415595769882,
0.007786388508975506,
-0.014334198087453842,
-0.006623862776905298,
0.08251398801803589,
-0.07179412245750427,
0.028842231258749962,
-0.053946997970342636,
-0.019846236333251,
-0.0006948899244889617,
0.032072678208351135,
0.0465010367333889,
-0.015326510183513165,
0.010364950634539127,
-0.03369514271616936,
-0.019382674247026443,
-0.012269900180399418,
-0.05281706526875496,
0.00643554050475359,
0.06223316490650177,
0.051223572343587875,
0.01430522557348013,
-0.005522903520613909,
-0.011987417005002499,
0.0020588659681379795,
0.014805003069341183,
0.03708493709564209,
-0.03213062137365341,
0.019904181361198425,
0.019788291305303574,
0.040416788309812546,
-0.01629709266126156,
-0.02517719753086567,
-0.039055075496435165,
-0.006971533875912428,
0.019933154806494713,
-0.009394368156790733,
-0.0033825519494712353,
0.008373083546757698,
-0.039866309612989426,
-0.030826855450868607,
-0.006102355662733316,
-0.03117452748119831,
-0.026089834049344063,
0.01409517414867878,
0.03476712852716446,
-0.008554162457585335,
0.019179867580533028,
-0.036331649869680405,
0.0341876782476902,
-0.048355285078287125,
-0.05472925677895546,
-0.001781815430149436,
0.012530652806162834,
0.029204389080405235,
0.004356755875051022,
0.0037066831719130278,
0.033724118024110794,
0.018499011173844337,
-0.04545802250504494,
-0.05620685964822769,
-0.02679966203868389,
-0.0008746106177568436,
0.023772025480866432,
0.01484846230596304,
0.0040054633282125,
0.028364183381199837,
0.013819933868944645,
0.015326510183513165,
-0.007808118127286434,
0.05058617517352104,
-0.02778473123908043,
0.02120794914662838,
0.0698239877820015,
0.03447740525007248,
-0.051658160984516144,
0.016586817800998688,
0.03696904703974724,
-0.03818589821457863,
-0.015949420630931854,
-0.004932586569339037,
-0.04609541967511177,
-0.004816696047782898,
-0.08170275390148163,
0.010205601342022419,
-0.07874754816293716,
-0.043285075575113297,
-0.0371718555688858,
0.021816374734044075,
0.00047216296661645174,
0.012755190953612328,
-0.048616036772727966,
-0.010364950634539127,
-0.01655784621834755,
-0.024394936859607697,
0.011118238791823387,
-0.000703943835105747,
0.006305163726210594,
-0.0360998697578907,
-0.045776721090078354,
0.022902846336364746,
0.007822603918612003,
0.01862938702106476,
0.03065302036702633,
-0.022077128291130066,
0.03902610391378403,
-0.00854691956192255,
-0.0063667306676507,
-0.025887025520205498,
-0.04253178834915161,
-0.02188880555331707,
0.0218743197619915,
0.02177291549742222,
0.05052822828292847,
0.0014920893590897322,
0.017455996945500374,
0.044791653752326965,
0.00601543765515089,
-0.03821486979722977,
-0.06327617913484573,
-0.03430356830358505,
-0.038098979741334915,
0.039866309612989426,
0.0015328320441767573,
0.06153782084584236,
0.01616671495139599,
0.017600860446691513,
0.039866309612989426,
0.02338089421391487,
-0.007460446562618017,
-0.006623862776905298,
-0.012074334546923637,
-0.041256994009017944,
0.04331405088305473,
0.02613329328596592,
-0.0046863192692399025,
0.04464678838849068,
-0.004610266536474228,
0.06350795924663544,
-0.05554049089550972,
-0.033579252660274506,
0.07440166175365448,
-0.01657233200967312,
-0.028262779116630554,
-0.061074260622262955,
0.03725877404212952,
0.0010937160113826394,
-0.025278601795434952,
-0.055598434060811996,
-0.011603529565036297,
-0.008452758193016052,
-0.0028429371304810047,
-0.05527973547577858,
-0.0424448698759079,
-0.026640312746167183,
0.024583257734775543,
0.03105863556265831,
0.01997661404311657,
0.05417877808213234,
-0.029928704723715782,
0.02488747052848339,
-0.022468257695436478,
0.027523977681994438,
-0.04852911829948425,
0.01477603055536747,
0.06362384557723999,
0.0063739740289747715,
0.02682863548398018,
-0.02817586250603199,
0.007844333536922932,
-0.08031207323074341,
-0.05852466821670532,
0.002708938904106617,
0.01367507129907608,
-0.04114110395312309,
0.020049044862389565,
0.018803222104907036,
-0.023583702743053436,
-0.01628260686993599,
0.004458160139620304,
-0.07695125043392181,
-0.014029985293745995,
-0.013225995935499668,
0.007445960305631161,
0.07266329973936081,
0.011958444491028786,
-0.023728566244244576,
0.04896370694041252,
-0.005073828157037497,
0.021092059090733528,
-0.012465464882552624,
0.048905763775110245,
-0.0019393539987504482,
-0.00704758707433939,
0.027466032654047012,
-0.003333660773932934,
0.010632947087287903,
-0.04913754388689995,
0.02175842970609665,
0.02107757329940796,
0.02407623827457428,
0.035636309534311295,
-0.02230890840291977,
0.025133738294243813,
0.04293740540742874,
0.007337313145399094,
-0.01983175054192543,
-0.04369069263339043,
0.006037167273461819,
0.03363719955086708,
0.00842378567904234,
-0.004729778505861759,
-0.0009162587230093777,
0.000853333855047822,
-0.006804941222071648,
-0.011813580989837646,
-0.05568535253405571,
-0.02614777907729149,
0.006634727586060762,
0.016036339104175568,
-0.037693362683057785,
-0.014254523441195488,
-0.06246494501829147,
-0.023163599893450737,
-0.005468579940497875,
-0.041083160787820816,
0.037142883986234665,
-0.025206169113516808,
0.01574661210179329,
-0.015616236254572868,
-0.021280381828546524,
-0.025930484756827354,
0.033434391021728516,
-0.08077563345432281,
-0.03804103657603264,
-0.019657915458083153,
0.01654335856437683,
-0.01626811921596527,
-0.015500345267355442,
0.014833975583314896,
-0.03175397962331772,
-0.04241589829325676,
0.006167544052004814,
-0.01437041349709034,
-0.027016958221793175,
-0.012842108495533466,
0.020903736352920532,
0.018643872812390327,
0.00785157736390829,
0.01402274239808321,
0.0005957492394372821,
-0.01996212638914585,
0.03415870666503906,
0.04792069271206856,
-0.006891859229654074,
0.032912883907556534,
0.030160484835505486,
0.035636309534311295,
-0.03998219966888428,
-0.033057745546102524,
0.0002133334637619555,
0.02227993682026863,
0.013624369166791439,
-0.05304884538054466,
-0.0036885752342641354,
0.01764431782066822,
-0.0072105578146874905,
-0.045081380754709244,
0.004954316187649965,
-0.018948085606098175,
0.029725896194577217,
-0.03158014267683029,
-0.009872416034340858,
-0.03833075985312462,
-0.008467244915664196,
0.010075224563479424,
-0.006645591929554939,
0.054903093725442886,
0.01736907847225666,
0.02474260702729225,
-0.02185983397066593,
-0.031667061150074005,
0.013059403747320175,
0.039692472666502,
0.048500146716833115,
-0.03007356822490692,
0.06559398770332336,
-0.04021397978067398,
0.010307005606591702,
-0.03569425269961357,
-0.016934489831328392,
-0.037142883986234665,
0.04198130965232849,
0.03491199389100075,
-0.02464120276272297,
0.03131939098238945,
-0.04653000831604004,
-0.02038222923874855,
-0.004555942490696907,
-0.061363983899354935,
0.007757415995001793,
-0.045486994087696075,
0.0013137267669662833,
0.029899731278419495,
0.024438396096229553,
-0.009850687347352505,
-0.02490195631980896,
-0.0070656947791576385,
-0.04737021401524544,
0.038243845105171204,
0.026104319840669632,
0.01628260686993599,
0.00807611458003521,
0.026292642578482628,
0.008749728091061115,
0.004646481946110725,
0.0022834036499261856,
-0.0022200262174010277,
0.002082406310364604,
0.012610327452421188,
-0.023627161979675293,
-0.022511716932058334,
0.08575892448425293,
0.02064298279583454,
0.010220088064670563,
-0.03381103277206421,
0.013436047360301018,
0.00882940273731947,
-0.016601305454969406,
-0.004356755875051022,
0.029320279136300087,
0.040822405368089676,
0.04140185937285423,
-0.030739936977624893,
0.039895281195640564,
0.017484968528151512,
0.009988307021558285,
0.014993324875831604,
-0.011480395682156086,
-0.03131939098238945,
-0.010031765326857567,
0.03282596543431282,
-0.010444625280797482,
-0.01752842776477337,
-0.002028082497417927,
0.02848007343709469,
0.009618906304240227,
0.029595520347356796,
-0.022120587527751923,
0.04148877412080765,
0.03528863564133644,
0.0005278447060845792,
-0.012023632414638996,
0.030942745506763458,
0.03091377392411232,
-0.03036329336464405,
0.019339216873049736,
0.010502570308744907,
0.013095619156956673,
0.00311274453997612,
0.0350278839468956,
-0.025756649672985077,
-0.013008701615035534,
-0.035085827112197876,
-0.03131939098238945,
0.03925788402557373,
-0.06976604461669922,
-0.019773805513978004,
0.019904181361198425,
-0.08042795956134796,
0.07156234234571457,
-0.011350019834935665,
0.024539800360798836,
-0.0320437066257,
-0.006468134932219982,
0.04511035233736038,
0.01736907847225666,
0.0032050947193056345,
-0.003295634174719453,
0.053019873797893524,
0.03340541943907738,
0.03963452950119972,
-0.007489419542253017,
-0.01681859977543354,
-0.04934035241603851,
0.03554939106106758,
-0.008952535688877106,
0.027292197570204735,
0.015920449048280716,
0.01861490122973919,
0.015109214931726456,
-0.02104859985411167,
0.051252543926239014,
0.021410757675766945,
-0.07799426466226578,
0.015109214931726456,
-0.030710965394973755,
0.02065747044980526,
-0.024539800360798836,
0.026205724105238914,
-0.018383119255304337,
0.031000690534710884,
0.02365613542497158,
-0.0036233868449926376,
0.0026944526471197605,
0.03746158257126808,
-0.008764213882386684,
0.049456242471933365,
-0.0032521754037588835,
0.0465010367333889,
0.03233342990279198,
-0.04719638079404831,
-0.015022297389805317,
-0.05168713256716728,
-0.00015244571841321886,
-0.006145814433693886,
-0.0030312591698020697,
-0.009691337123513222,
0.06281261891126633,
-0.022120587527751923,
-0.004164812620729208,
-0.00819924846291542,
-0.0019121922086924314,
-0.028914663940668106,
0.0036107113119214773,
-0.003958382643759251,
-0.00868453923612833,
-0.007098289206624031,
-0.023047709837555885,
-0.004577672109007835,
0.038243845105171204,
-0.012168495915830135,
0.02721976488828659,
0.032362405210733414,
-0.005164367612451315,
0.002629264257848263,
-0.023974834010004997,
-0.004048922099173069,
-0.0012213765876367688,
0.04470473527908325,
-0.054497476667165756,
-0.046153366565704346,
-0.02135281264781952,
-0.09717413038015366,
-0.040561653673648834,
0.018267229199409485,
-0.016920004040002823,
-0.010147656314074993,
0.04105418547987938,
0.03963452950119972,
0.0009579068864695728,
0.012197468429803848,
-0.014392143115401268,
0.018658360466361046,
0.036302678287029266,
0.007952980697154999,
-0.013841663487255573,
0.008249950595200062,
-0.018383119255304337,
0.016644762828946114,
0.02367062121629715,
0.011132724583148956,
0.02339538186788559,
0.02204815484583378,
-0.03566528111696243,
0.0019538402557373047,
-0.007887792773544788,
-0.020063530653715134,
-0.016369523480534554,
-0.005667766556143761,
0.010480840690433979,
0.048355285078287125,
-0.007554607465863228,
-0.09271235018968582,
0.02761089615523815,
-0.0500936396420002,
-0.002899071667343378,
0.004776858724653721,
0.0270749032497406,
0.011139968410134315,
0.034274596720933914,
-0.015065756626427174,
-0.06414535641670227,
0.24638305604457855,
0.035752199590206146,
0.010640190914273262,
0.01749945618212223,
0.005207826383411884,
0.03268110379576683,
0.04059062525629997,
-0.008163032121956348,
0.0042010280303657055,
-0.002381186233833432,
-0.011516612023115158,
-0.03192781284451485,
0.019788291305303574,
-0.023192573338747025,
-0.01367507129907608,
0.020556066185235977,
-0.05015158653259277,
-0.014609437435865402,
0.010712621733546257,
-0.03340541943907738,
-0.07683535665273666,
0.02190329134464264,
-0.028682881966233253,
0.01416036207228899,
-0.01694897562265396,
0.011313803493976593,
0.02310565486550331,
-0.017427023500204086,
0.016355037689208984,
-0.03902610391378403,
0.02911747246980667,
-0.020411202684044838,
0.007974710315465927,
-0.06941837072372437,
-0.014486304484307766,
-0.009336423128843307,
0.009046697057783604,
-0.03213062137365341,
0.0038461138028651476,
0.018846681341528893,
0.0530778206884861,
0.03954761102795601,
-0.008677296340465546,
-0.018643872812390327,
0.012211954221129417,
0.007062073331326246,
-0.06675288826227188,
0.032507266849279404,
0.05785829946398735,
-0.015152674168348312,
0.03366617113351822,
-0.019759319722652435,
0.007496662437915802,
-0.0004164812562521547,
-0.02175842970609665,
-0.01484846230596304,
0.01217573881149292,
0.015007811598479748,
-0.023221544921398163,
-0.0127334613353014,
-0.0007532878080382943,
0.012979729101061821,
0.03363719955086708,
0.007398880086839199,
0.0371718555688858,
0.026176752522587776,
-0.02012147754430771,
0.045486994087696075,
-0.0034314433578401804,
0.024394936859607697,
-0.02584356628358364,
0.016891030594706535,
-0.04134391248226166,
-0.00007837316661607474,
0.0007523824460804462,
0.016644762828946114,
0.025495896115899086,
0.04786274954676628,
0.029754869639873505,
-0.022757984697818756,
-0.014254523441195488,
-0.019513051956892014,
-0.012849352322518826,
-0.008952535688877106,
0.0170938391238451,
0.02624918334186077,
0.009618906304240227,
-0.024930929765105247,
-0.03120349906384945,
0.027813704684376717,
0.012371303513646126,
-0.027958568185567856,
-0.010205601342022419,
-0.007989197038114071,
-0.0007618890376761556
] |
1208_19 | Turing has been honoured in various ways in Manchester, the city where he worked towards the end of his life. In 1994, a stretch of the A6010 road (the Manchester city intermediate ring road) was named "Alan Turing Way". A bridge carrying this road was widened, and carries the name Alan Turing Bridge. A statue of Turing was unveiled in Manchester on 23 June 2001 in Sackville Park, between the University of Manchester building on Whitworth Street and Canal Street. The memorial statue depicts the "father of computer science" sitting on a bench at a central position in the park. Turing is shown holding an apple. The cast bronze bench carries in relief the text 'Alan Mathison Turing 1912–1954', and the motto 'Founder of Computer Science' as it could appear if encoded by an Enigma machine: 'IEKYF ROMSI ADXUO KVKZC GUBJ'. However, the meaning of the coded message is disputed, as the 'u' in 'computer' matches up with the 'u' in 'ADXUO'. As a letter encoded by an enigma machine cannot appear as itself, the actual message behind the code is uncertain.
A plaque at the statue's feet reads 'Father of computer science, mathematician, logician, wartime codebreaker, victim of prejudice'. There is also a Bertrand Russell quotation: "Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture." The sculptor buried his own old Amstrad computer under the plinth as a tribute to "the godfather of all modern computers".
In 1999, Time magazine named Turing as one of the 100 Most Important People of the 20th century and stated, "The fact remains that everyone who taps at a keyboard, opening a spreadsheet or a word-processing program, is working on an incarnation of a Turing machine."
A blue plaque was unveiled at King's College on the centenary of his birth on 23 June 2012 and is now installed at the college's Keynes Building on King's Parade.
On 25 March 2021, the Bank of England publicly unveiled the design for a new £50 note, featuring Turing's portrait, before its official issue on 23 June, Turing's birthday. Turing was selected as the new face of the note in 2019 following a public nomination process.
Centenary celebrations | [
0.013269220478832722,
-0.04267947003245354,
0.02182573266327381,
-0.015890665352344513,
0.0018657540204003453,
-0.005824613384902477,
0.025006810203194618,
-0.01963137835264206,
0.011619772762060165,
-0.04167801886796951,
-0.011428318917751312,
-0.003433282021433115,
0.018350109457969666,
-0.007116926368325949,
-0.030190790072083473,
0.0059571582823991776,
0.03234096243977547,
-0.012569678016006947,
0.0010493140434846282,
0.00672297365963459,
0.05107397958636284,
0.006281157024204731,
-0.03905657306313515,
-0.04409328103065491,
-0.017024660483002663,
0.044446732848882675,
-0.012577041052281857,
0.01318822056055069,
0.06986590474843979,
0.06880554556846619,
0.01826174557209015,
-0.005007253028452396,
0.005430660676211119,
-0.02042664773762226,
-0.013151402585208416,
-0.012024770490825176,
0.010971775278449059,
-0.07345934957265854,
0.027804981917142868,
0.0022827181965112686,
-0.001500335056334734,
-0.04912998899817467,
-0.006586746778339148,
-0.03976348042488098,
-0.03805512189865112,
-0.01220886129885912,
0.024461904540657997,
0.008770056068897247,
0.014344307594001293,
-0.029778428375720978,
-0.014521033503115177,
0.02325427159667015,
0.034638408571481705,
-0.013482765294611454,
-0.0050293439999222755,
-0.019160106778144836,
0.018379563465714455,
-0.00470166327431798,
-0.02098628133535385,
-0.0051140254363417625,
0.033195141702890396,
0.01767265796661377,
-0.009852507151663303,
-0.028511887416243553,
0.009786234237253666,
0.005552160087972879,
0.025345535948872566,
-0.0319875106215477,
-0.004775299225002527,
-0.01515430398285389,
-0.02410845085978508,
0.013195584528148174,
0.018291201442480087,
-0.030455879867076874,
-0.015095395036041737,
-0.019763922318816185,
-0.0291893407702446,
0.01400558091700077,
-0.027068620547652245,
-0.0022716729436069727,
-0.00812205858528614,
-0.011627135798335075,
-0.04562491178512573,
0.012687495909631252,
-0.013202948495745659,
-0.042443834245204926,
0.009977688081562519,
0.02267991006374359,
0.014587306417524815,
-0.04533036798238754,
0.02409372292459011,
0.01935156062245369,
0.019439924508333206,
0.00455807289108634,
0.0021833095233887434,
0.028983158990740776,
-0.002509149257093668,
-0.011722862720489502,
-0.03923330083489418,
0.016332481056451797,
0.04209037870168686,
0.07216335088014603,
-0.009609507396817207,
0.0695713609457016,
0.006288520526140928,
0.01706884242594242,
-0.0730469822883606,
-0.002209082245826721,
-0.011104320175945759,
0.006638292223215103,
0.00982305221259594,
0.004381346516311169,
0.04630236327648163,
-0.018600473180413246,
-0.00037761498242616653,
0.03587549552321434,
-0.01907174289226532,
0.021457552909851074,
0.010147050954401493,
0.05578669160604477,
0.021442824974656105,
0.008725875057280064,
0.04633181914687157,
0.02098628133535385,
-0.035139136016368866,
0.01737811416387558,
-0.015065941028296947,
0.03248823434114456,
0.0008385307737626135,
-0.020117375999689102,
0.01740756817162037,
0.006012385245412588,
-0.023342635482549667,
-0.016096845269203186,
0.02329845353960991,
0.056464143097400665,
0.008563875220716,
0.02189936861395836,
-0.00227903644554317,
-0.004782663192600012,
0.03640567511320114,
-0.003039329079911113,
-0.0023876496125012636,
0.06403393298387527,
-0.010706685483455658,
0.010051324032247066,
-0.013092493638396263,
0.02751043811440468,
-0.04421110078692436,
-0.026965530589222908,
-0.014889214187860489,
0.022223366424441338,
-0.0027098075952380896,
0.018011383712291718,
-0.012982039712369442,
-0.0024115813430398703,
-0.02665625885128975,
-0.011067502200603485,
-0.007717060390859842,
0.04147183895111084,
-0.06786300241947174,
0.03973402455449104,
0.0007151903701014817,
0.02665625885128975,
0.024240994825959206,
0.00399475684389472,
-0.041648562997579575,
0.01499966811388731,
0.005905613303184509,
-0.0052428883500397205,
0.0007566106505692005,
0.03622894734144211,
-0.029336612671613693,
0.03189914673566818,
0.0255222637206316,
0.05637577921152115,
-0.002772398293018341,
0.02827625349164009,
0.002750307321548462,
-0.04759835824370384,
-0.013549037277698517,
-0.017186660319566727,
0.043857645243406296,
0.07104408740997314,
-0.0291157029569149,
-0.009027782827615738,
0.009410690516233444,
0.00298042013309896,
0.021457552909851074,
0.004083120264112949,
0.021104099228978157,
0.03893875703215599,
-0.050278712064027786,
0.033254049718379974,
-0.02069173753261566,
0.03558095172047615,
-0.029852064326405525,
-0.0014018467627465725,
-0.03725985437631607,
-0.045006368309259415,
-0.02045610174536705,
0.019145378842949867,
0.04986634850502014,
-0.013556401245296001,
-0.018143929541110992,
-0.007945332676172256,
0.0393216647207737,
0.038114033639431,
-0.0319875106215477,
0.01399821788072586,
0.029881518334150314,
-0.010743503458797932,
0.025640081614255905,
0.037112582474946976,
0.060381580144166946,
0.01907174289226532,
-0.02611135132610798,
0.0021575370337814093,
0.006774518638849258,
0.06821645796298981,
-0.015463575720787048,
0.07982150465250015,
0.024756448343396187,
0.015522484667599201,
-0.009160327725112438,
0.023666635155677795,
0.013232402503490448,
0.038290757685899734,
-0.04403437301516533,
0.006888654548674822,
-0.010934957303106785,
0.022812455892562866,
-0.007389380130916834,
0.021118825301527977,
0.02465335838496685,
0.039115481078624725,
0.0014165739994496107,
0.0645052045583725,
-0.004123620223253965,
0.005489569157361984,
-0.034844592213630676,
-0.002188832266256213,
0.06963027268648148,
0.01706884242594242,
0.029056794941425323,
-0.003818030469119549,
0.02723062038421631,
0.011258956044912338,
-0.015095395036041737,
0.050308164209127426,
0.00005373132444219664,
0.02721589244902134,
-0.024623902514576912,
-0.010154414921998978,
-0.040794383734464645,
0.022488456219434738,
0.036258403211832047,
0.03534531593322754,
0.0055337511003017426,
-0.040764931589365005,
0.017039388418197632,
0.05443178489804268,
0.035463131964206696,
-0.01178913563489914,
-0.004009484313428402,
0.027863889932632446,
0.04291510581970215,
0.032075874507427216,
-0.03976348042488098,
-0.019219014793634415,
-0.05325360968708992,
-0.06326811760663986,
-0.062089938670396805,
-0.013283947482705116,
-0.07487315684556961,
-0.03166351094841957,
0.01360058318823576,
-0.050013620406389236,
0.0794091448187828,
-0.024815356358885765,
-0.00400580232962966,
-0.0173928402364254,
-0.021207189187407494,
0.010235413908958435,
0.045831091701984406,
-0.019528286531567574,
-0.04562491178512573,
0.019528286531567574,
-0.009985052049160004,
0.013534310273826122,
-0.013129311613738537,
0.011111683212220669,
-0.004889435134828091,
-0.023136453703045845,
-0.01596430130302906,
0.012466587126255035,
0.0031276922672986984,
0.01790829375386238,
-0.04238492622971535,
-0.042767830193042755,
-0.01988174021244049,
-0.000343098072335124,
0.015065941028296947,
-0.012709586881101131,
0.0006820541457273066,
0.029528066515922546,
-0.00014922810078132898,
-0.043032921850681305,
0.06409283727407455,
0.024226268753409386,
-0.025345535948872566,
-0.010552049614489079,
-0.0020157876424491405,
-0.020294101908802986,
-0.05204597860574722,
0.06674373894929886,
0.014955487102270126,
0.05879104137420654,
-0.0021188780665397644,
-0.03672967478632927,
0.011516681872308254,
0.014462124556303024,
-0.03693585470318794,
-0.025713717564940453,
0.0022569457069039345,
0.031545694917440414,
-0.04742163047194481,
-0.006951245479285717,
0.024874266237020493,
-0.02022046595811844,
-0.011649226769804955,
0.02045610174536705,
-0.017481204122304916,
0.0337253212928772,
-0.026126079261302948,
-0.010522594675421715,
0.08247240632772446,
0.029572246596217155,
-0.006542565301060677,
-0.018070291727781296,
-0.015014395117759705,
-0.012363497167825699,
-0.02353408932685852,
0.051427435129880905,
-0.03310677781701088,
-0.008320876397192478,
0.0009002010338008404,
0.018585745245218277,
0.0029896246269345284,
-0.0419725626707077,
-0.014300125651061535,
0.01708356849849224,
0.0128936767578125,
-0.017127750441432,
-0.0038364394567906857,
0.05599287152290344,
-0.02385808899998665,
-0.014926032163202763,
-0.008725875057280064,
0.053636517375707626,
0.003777530509978533,
0.05345978960394859,
0.036022767424583435,
0.031516239047050476,
-0.0213250070810318,
-0.05248779430985451,
-0.043268557637929916,
0.04044093191623688,
0.012731676921248436,
-0.07534442842006683,
0.005850386340171099,
-0.022827183827757835,
-0.058908861130476,
0.01826174557209015,
-0.040823839604854584,
-0.0443878248333931,
0.00248889927752316,
-0.036906398832798004,
0.051456887274980545,
-0.059910308569669724,
0.025978807359933853,
-0.008740602061152458,
-0.013799400068819523,
0.011774408631026745,
-0.020323555916547775,
-0.006583065260201693,
0.04141292721033096,
0.004576481878757477,
0.00979359820485115,
0.03646458312869072,
-0.0001386429212288931,
-0.02854134328663349,
-0.0398518443107605,
-0.02379917912185192,
-0.014616760425269604,
-0.03169296681880951,
0.07051390409469604,
-0.007017517928034067,
0.0012435292592272162,
-0.015875937417149544,
0.026774076744914055,
0.03269441798329353,
-0.024196814745664597,
0.06709719449281693,
-0.017893565818667412,
0.013688946142792702,
-0.022238094359636307,
0.04226710647344589,
-0.007455652579665184,
-0.02387281507253647,
-0.058967769145965576,
0.02269463799893856,
0.027819707989692688,
0.01740756817162037,
0.03737767040729523,
-0.0037646442651748657,
-0.025934625416994095,
-0.04267947003245354,
-0.007168471813201904,
0.026508986949920654,
-0.05207543075084686,
0.013276584446430206,
0.01234140619635582,
0.019498832523822784,
0.033813685178756714,
-0.03360750526189804,
0.0013641082914546132,
0.00895414687693119,
0.0015933006070554256,
-0.012149952352046967,
0.022576820105314255,
-0.015566665679216385,
-0.010706685483455658,
-0.033519141376018524,
-0.008600693196058273,
0.018556291237473488,
0.03499186411499977,
-0.01907174289226532,
0.0037646442651748657,
-0.06273793429136276,
0.0035326906945556402,
0.044476188719272614,
0.007680242415517569,
-0.04123620316386223,
-0.015875937417149544,
-0.0053275697864592075,
0.023946451023221016,
0.016641752794384956,
-0.011362046003341675,
0.0043187555857002735,
0.07552115619182587,
-0.028747523203492165,
0.018335383385419846,
-0.018291201442480087,
-0.005905613303184509,
-0.02409372292459011,
0.006078658159822226,
-0.0008238035952672362,
0.033754777163267136,
-0.0526350662112236,
-0.0151248499751091,
0.01684793457388878,
0.019248470664024353,
-0.015478302724659443,
0.005191343370825052,
0.058702677488327026,
0.035787131637334824,
0.014035035856068134,
0.016995206475257874,
0.021118825301527977,
-0.030220244079828262,
0.029572246596217155,
0.010301686823368073,
-0.056493595242500305,
0.023754997178912163,
-0.010957048274576664,
0.035168588161468506,
-0.0521048866212368,
-0.0014276193687692285,
-0.05852595344185829,
-0.01105277519673109,
0.011141138151288033,
0.00992614310234785,
0.016214663162827492,
-0.0018455041572451591,
-0.034049320966005325,
0.0012140747858211398,
-0.011671317741274834,
-0.041648562997579575,
-0.014638851396739483,
0.021369189023971558,
0.010124959982931614,
-0.005084570962935686,
-0.016685934737324715,
-0.01022068690508604,
0.006682473700493574,
-0.04574272781610489,
-0.042149290442466736,
-0.00014853777247481048,
-0.005279706325381994,
0.0403820239007473,
0.0005067082238383591,
-0.027908071875572205,
0.028806433081626892,
-0.038114033639431,
-0.041088931262493134,
-0.04577218368649483,
-0.03307732567191124,
-0.01677429862320423,
0.010537322610616684,
-0.0022771956864744425,
-0.04085329547524452,
0.03301841393113136,
-0.008055786602199078,
0.017864111810922623,
0.017716839909553528,
-0.016037937253713608,
0.018556291237473488,
0.003906393889337778,
0.07180990278720856,
0.06173648312687874,
-0.0778186023235321,
-0.01176704466342926,
0.0375838540494442,
-0.020632827654480934,
0.02321009151637554,
0.0016172323375940323,
-0.026759348809719086,
0.017319204285740852,
-0.08459312468767166,
-0.012805312871932983,
-0.06256120651960373,
-0.020235193893313408,
-0.048069629818201065,
-0.02443244867026806,
-0.029498610645532608,
0.003608167637139559,
0.00399475684389472,
-0.012613859958946705,
-0.001149643212556839,
-0.02943970263004303,
-0.006218566559255123,
-0.00025979726342484355,
-0.009675780311226845,
-0.07734733074903488,
-0.025669535622000694,
0.014336943626403809,
0.04680309072136879,
-0.0397045724093914,
-0.011384136974811554,
-0.003641303861513734,
0.019160106778144836,
0.0010042119538411498,
-0.00011764513328671455,
-0.04002856835722923,
-0.03472677245736122,
-0.02353408932685852,
0.034579500555992126,
0.001090734382160008,
0.05605177953839302,
-0.0012149952817708254,
0.011244228109717369,
-0.0015647666295990348,
-0.01596430130302906,
-0.03672967478632927,
-0.04226710647344589,
-0.01846792735159397,
0.008239876478910446,
0.07893787324428558,
-0.043298013508319855,
0.023931724950671196,
-0.0037848942447453737,
0.03899766504764557,
0.014197034761309624,
-0.02328372746706009,
-0.02969006448984146,
-0.03384314104914665,
-0.03664131090044975,
-0.0604993999004364,
0.052252158522605896,
0.002939920173957944,
0.0047384812496602535,
0.00367628107778728,
-0.002790807280689478,
0.03761330619454384,
-0.021663732826709747,
0.016450298950076103,
0.07499098032712936,
-0.004830526653677225,
-0.02216445840895176,
-0.014513670466840267,
0.003906393889337778,
0.0006139407632872462,
-0.011987952515482903,
-0.030662061646580696,
-0.018880289047956467,
-0.04232601448893547,
0.017613748088479042,
-0.015301575884222984,
-0.09295818209648132,
0.0061265211552381516,
-0.017495932057499886,
0.03166351094841957,
-0.021163007244467735,
0.020618101581931114,
-0.011568226851522923,
-0.02913043089210987,
-0.03820239380002022,
0.021221917122602463,
-0.07870223373174667,
-0.013438583351671696,
0.04538927599787712,
0.0025459672324359417,
0.030161336064338684,
-0.06073503568768501,
-0.007901150733232498,
-0.054520148783922195,
-0.027569346129894257,
0.01430748961865902,
-0.00622593006119132,
-0.0179230198264122,
0.03988129645586014,
0.024888992309570312,
-0.024520812556147575,
-0.013828855007886887,
-0.009778870269656181,
-0.002855238737538457,
-0.031781330704689026,
-0.03935111686587334,
0.016406117007136345,
0.028511887416243553,
0.008335603401064873,
-0.04482964053750038,
0.0443878248333931,
0.031162787228822708,
-0.04300346598029137,
-0.007606606464833021,
0.021634278818964958,
-0.00825460348278284,
0.012849494814872742,
0.045507095754146576,
-0.022061368450522423,
-0.017054114490747452,
-0.054284512996673584,
-0.006568337790668011,
0.028217343613505363,
-0.01678902469575405,
0.04315073788166046,
-0.039086028933525085,
0.022503184154629707,
0.01680375263094902,
-0.007584515493363142,
0.030662061646580696,
-0.0187919270247221,
-0.03284168988466263,
0.021987732499837875,
0.0018979698652401567,
-0.013011494651436806,
0.000003128094931525993,
0.012694858945906162,
-0.011450409889221191,
-0.020559191703796387,
-0.039675116539001465,
-0.01374049112200737,
0.015213212929666042,
0.0498368963599205,
-0.04435837268829346,
-0.002174105029553175,
-0.028408797457814217,
-0.05192815884947777,
-0.01024277787655592,
-0.0397045724093914,
-0.02602298930287361,
-0.04759835824370384,
0.023975905030965805,
0.020249919965863228,
-0.04907108098268509,
-0.06362156569957733,
0.05216379463672638,
-0.03896820917725563,
0.02409372292459011,
-0.017510658130049706,
-0.007396743632853031,
-0.036611855030059814,
-0.002317695412784815,
-0.000046540299081243575,
-0.04379873722791672,
-0.04103001952171326,
0.005655250512063503,
-0.001133995596319437,
-0.03172242268919945,
-0.02354881726205349,
0.03793730586767197,
-0.013372311368584633,
-0.001932946965098381,
0.019970104098320007,
-0.014012944884598255,
-0.01938101463019848,
0.050602711737155914,
0.030087700113654137,
-0.0021446505561470985,
0.040794383734464645,
0.07127971947193146,
0.03605222329497337,
-0.05175143480300903,
-0.03929220885038376,
0.01541939377784729,
0.00742988009005785,
0.017731565982103348,
-0.049483440816402435,
0.02602298930287361,
0.002801852533593774,
0.037112582474946976,
-0.0561106875538826,
0.001792117953300476,
0.02051500976085663,
0.009152963757514954,
-0.02381390705704689,
-0.021678460761904716,
0.0039395298808813095,
0.053665969520807266,
0.03982238844037056,
-0.053695425391197205,
0.03272387012839317,
0.028776977211236954,
0.015610847622156143,
-0.022267548367381096,
-0.013298675417900085,
-0.02161955088376999,
-0.00199737842194736,
0.0004231773200444877,
-0.041589654982089996,
0.0034958727192133665,
-0.04742163047194481,
-0.014565215446054935,
-0.05125070735812187,
0.005088252946734428,
-0.05416669696569443,
0.019984830170869827,
0.012061589397490025,
-0.01653866283595562,
0.032664962112903595,
-0.006417383905500174,
-0.012253042310476303,
-0.04153074696660042,
-0.05778959020972252,
0.016096845269203186,
-0.040470387786626816,
-0.032399874180555344,
0.037142034620046616,
-0.0009710757294669747,
-0.02581680752336979,
0.03449113667011261,
-0.03861475735902786,
0.0061265211552381516,
0.010839230380952358,
0.036582402884960175,
0.020338283851742744,
0.009049873799085617,
0.0011717340676113963,
-0.0052649793215096,
-0.050013620406389236,
0.011671317741274834,
-0.016037937253713608,
0.038555849343538284,
0.0022182867396622896,
-0.01849738135933876,
0.026508986949920654,
0.039115481078624725,
0.03619949519634247,
0.03784894198179245,
-0.044181644916534424,
0.01683320663869381,
0.04591945558786392,
-0.019263196736574173,
-0.007812787778675556,
0.018305927515029907,
-0.0277902539819479,
0.051427435129880905,
0.0033706913236528635,
0.00567365949973464,
0.008902600966393948,
0.038850393146276474,
0.05416669696569443,
-0.004495482426136732,
-0.009499053470790386,
0.038555849343538284,
0.06203103065490723,
-0.03110387735068798,
0.0465085431933403,
0.002995147369801998,
0.015493029728531837,
0.0176579300314188,
0.003151623997837305,
-0.04094165563583374,
0.005217115860432386,
0.028659159317612648,
0.024535540491342545,
-0.012982039712369442,
0.03245878219604492,
0.021781550720334053,
-0.01630302704870701,
0.04306237772107124,
0.01431485265493393,
0.017024660483002663,
-0.012827403843402863,
0.034343864768743515,
-0.022841909900307655,
-0.01876247115433216,
-0.011038047261536121,
-0.0002779761853162199,
0.03354859724640846,
-0.036611855030059814,
-0.007175835315138102,
0.005692068487405777,
-0.07434298098087311,
0.044240552932024,
0.032664962112903595,
-0.019557740539312363,
-0.006756109651178122,
-0.0008675249991938472,
0.028423525393009186,
0.01901283487677574,
-0.013526947237551212,
-0.03419659286737442,
0.015360484831035137,
0.05348924547433853,
0.03923330083489418,
0.0026177624240517616,
-0.0054932511411607265,
-0.0124960420653224,
0.028217343613505363,
0.023784451186656952,
0.02519826404750347,
0.06167757511138916,
0.06868772953748703,
-0.053636517375707626,
0.0002168812497984618,
0.04995471239089966,
-0.01876247115433216,
-0.03328350558876991,
-0.011074865236878395,
-0.0012076316634193063,
0.001966083189472556,
-0.031162787228822708,
0.02522771991789341,
0.0054527511820197105,
0.010161777958273888,
0.007374652661383152,
-0.023372089490294456,
-0.01854156330227852,
0.04353364557027817,
-0.03272387012839317,
0.029778428375720978,
0.008703784085810184,
0.022208640351891518,
0.04627290740609169,
-0.01441794354468584,
0.02555171772837639,
-0.021104099228978157,
-0.012068952433764935,
-0.021811004728078842,
-0.014462124556303024,
0.013490129262208939,
0.052016522735357285,
-0.017230842262506485,
-0.0020010604057461023,
-0.030102428048849106,
-0.0021833095233887434,
-0.02773134596645832,
0.016126301139593124,
0.006299566011875868,
0.012709586881101131,
-0.03189914673566818,
-0.006638292223215103,
0.004760572221130133,
0.002777920803055167,
-0.006689837202429771,
0.01770211197435856,
0.0027411028277128935,
-0.007175835315138102,
-0.005677341483533382,
-0.01770211197435856,
-0.04541873186826706,
-0.04762781411409378,
-0.007761242333799601,
-0.0265826229006052,
-0.02406426891684532,
0.030190790072083473,
-0.05855540558695793,
-0.033754777163267136,
0.006630928721278906,
0.003622894873842597,
0.00031249309540726244,
0.026832984760403633,
0.013630037195980549,
-0.0359933115541935,
0.03840857744216919,
-0.0006728496518917382,
-0.029513338580727577,
0.027937525883316994,
0.001656811684370041,
0.016744842752814293,
0.022282276302576065,
-0.00462434533983469,
0.017171932384371758,
0.022238094359636307,
0.0035547814331948757,
0.06809864193201065,
-0.016730116680264473,
-0.029910974204540253,
-0.03269441798329353,
-0.022238094359636307,
-0.03390204906463623,
-0.023151181638240814,
-0.02303336374461651,
-0.003031965345144272,
0.05502087622880936,
-0.01653866283595562,
-0.061795394867658615,
-0.02494790218770504,
-0.005434342194348574,
-0.03030860796570778,
-0.004646436311304569,
0.043622009456157684,
-0.0020268328953534365,
-0.01290103979408741,
-0.017319204285740852,
-0.05572777986526489,
0.25731390714645386,
0.06639028340578079,
0.015581393614411354,
0.03976348042488098,
0.049188897013664246,
0.06409283727407455,
0.04432891681790352,
0.02379917912185192,
0.010898139327764511,
-0.009859870187938213,
-0.014278034679591656,
0.023887543007731438,
-0.001098098000511527,
0.005795158911496401,
0.01572866551578045,
-0.002927033929154277,
-0.06485865265130997,
0.023062817752361298,
-0.018291201442480087,
-0.050867799669504166,
-0.06809864193201065,
0.015389939770102501,
-0.04232601448893547,
-0.0365234911441803,
-0.0026159214321523905,
-0.02890952304005623,
0.011892225593328476,
-0.02465335838496685,
-0.026243897154927254,
-0.014278034679591656,
0.02078009955585003,
0.0049483440816402435,
0.008284058421850204,
-0.0521048866212368,
-0.015014395117759705,
0.030367517843842506,
-0.01683320663869381,
-0.008379785344004631,
-0.03310677781701088,
0.02942497469484806,
0.03080933354794979,
0.017186660319566727,
0.002733739325776696,
-0.011457772925496101,
0.005655250512063503,
0.043298013508319855,
-0.03923330083489418,
-0.0145946703851223,
0.03419659286737442,
-0.026405896991491318,
0.03475622832775116,
0.006111794151365757,
0.0185268372297287,
-0.010102869011461735,
-0.00981568917632103,
-0.02350463531911373,
0.019749194383621216,
-0.009476962499320507,
-0.03781948611140251,
0.034874044358730316,
0.012731676921248436,
-0.009999779053032398,
0.01910119690001011,
0.005511660128831863,
-0.012304588221013546,
0.062325574457645416,
0.006078658159822226,
0.06468192487955093,
0.0029049431905150414,
0.030338061973452568,
-0.033195141702890396,
0.020073194056749344,
-0.03310677781701088,
0.004764254204928875,
-0.010853957384824753,
-0.031781330704689026,
-0.022326458245515823,
0.05186925083398819,
0.03225260227918625,
-0.032959505915641785,
0.007330471184104681,
-0.02491844817996025,
-0.04100056737661362,
-0.028173161670565605,
0.019837558269500732,
0.012363497167825699,
-0.028968431055545807,
-0.01795247569680214,
-0.038290757685899734,
0.04509473219513893,
0.03413768485188484,
-0.003359645837917924,
-0.026788804680109024,
-0.06073503568768501,
-0.015861211344599724
] |
1208_20 | Centenary celebrations
To mark the 100th anniversary of Turing's birth, the Turing Centenary Advisory Committee (TCAC) co-ordinated the Alan Turing Year in 2012, a year-long programme of events around the world honouring Turing's life and achievements. The TCAC, chaired by S. Barry Cooper with Turing's nephew Sir John Dermot Turing acting as Honorary President, worked with the University of Manchester faculty members and a broad spectrum of people from Cambridge University and Bletchley Park.
Steel sculpture controversy
In May 2020 it was reported by Gay Star News that a high steel sculpture, to honour Turing, designed by Sir Antony Gormley, was planned to be installed at King's College, Cambridge. Historic England, however, was quoted as saying that the abstract work of 19 steel slabs "... would be at odds with the existing character of the College. This would result in harm, of a less than substantial nature, to the significance of the listed buildings and landscape, and by extension the conservation area."
References
Sources | [
0.009622217155992985,
-0.05391496419906616,
-0.0049791159108281136,
-0.016785424202680588,
0.00011741396156139672,
0.0116764847189188,
0.0014356959145516157,
-0.02937067300081253,
0.00052740826504305,
-0.04600336402654648,
-0.02457483857870102,
-0.005338039714843035,
0.023108595982193947,
-0.02465120516717434,
-0.03662551939487457,
0.014547876082360744,
0.011684121564030647,
0.01647995598614216,
-0.03467052802443504,
0.04267377033829689,
0.045881178230047226,
0.0182822123169899,
-0.04661429673433304,
-0.03876379132270813,
-0.00677755381911993,
0.046980857849121094,
-0.009133470244705677,
-0.01269216276705265,
0.08406458050012589,
0.024208277463912964,
-0.007888690568506718,
-0.018908420577645302,
0.0051967608742415905,
-0.036442238837480545,
-0.035831306129693985,
-0.03167695179581642,
0.027904430404305458,
-0.05950501561164856,
0.004425456281751394,
-0.02645346149802208,
-0.0056282333098351955,
-0.035098183900117874,
0.0064682685770094395,
-0.06100180372595787,
-0.034181781113147736,
-0.01434168592095375,
0.04084096848964691,
-0.0058382423594594,
0.03393740952014923,
-0.031142383813858032,
0.012959446758031845,
0.04462876170873642,
0.04511750862002373,
-0.021810360252857208,
-0.014922074042260647,
-0.022360200062394142,
-0.00095028942450881,
-0.039160896092653275,
0.008934915997087955,
-0.01509008090943098,
0.004028349183499813,
0.04685867205262184,
-0.005429679993540049,
-0.05489245802164078,
0.03182968497276306,
0.01982482336461544,
0.04307087883353233,
-0.022207466885447502,
-0.012180505320429802,
-0.009683310985565186,
-0.014112585224211216,
0.008682905696332455,
-0.014402779750525951,
-0.01614394225180149,
-0.035984039306640625,
-0.023597342893481255,
-0.0365644246339798,
0.019106974825263023,
-0.021535439416766167,
-0.010225514881312847,
-0.007575586903840303,
0.036869894713163376,
-0.03546474501490593,
0.007056292612105608,
-0.021535439416766167,
-0.019045881927013397,
0.03360139578580856,
0.037816841155290604,
0.026484008878469467,
-0.015670469030737877,
-0.014807523228228092,
0.026713108643889427,
0.012004861608147621,
0.0018127569928765297,
0.026086900383234024,
-0.02315441519021988,
-0.011088459752500057,
-0.027430957183241844,
-0.03308210149407387,
-0.018221119418740273,
0.03836668282747269,
0.04313196986913681,
-0.03800012171268463,
0.06420920789241791,
0.004104715771973133,
0.013746025040745735,
-0.01951935514807701,
0.003636969020590186,
0.026972755789756775,
-0.026468735188245773,
0.01086699590086937,
0.00034842354943975806,
0.019565176218748093,
-0.030730001628398895,
0.002426555147394538,
0.04236830398440361,
0.00659427372738719,
0.012203415855765343,
-0.01855713315308094,
0.03186023235321045,
0.021611806005239487,
0.028881926089525223,
0.009637490846216679,
0.057336196303367615,
-0.012004861608147621,
0.006678277160972357,
0.03635060042142868,
0.011516113765537739,
0.007858144119381905,
-0.016861790791153908,
-0.0027721149381250143,
-0.02561342716217041,
-0.049821704626083374,
-0.00755267683416605,
0.00822470523416996,
0.06317061930894852,
0.03442615643143654,
0.05428152531385422,
-0.020420484244823456,
-0.02875973843038082,
0.026514554396271706,
0.019565176218748093,
-0.00041906285332515836,
0.07416743785142899,
-0.004104715771973133,
0.04355962574481964,
-0.03662551939487457,
0.001322100288234651,
-0.023368243128061295,
-0.03641169145703316,
-0.0025888346135616302,
-0.001974081853404641,
-0.026270180940628052,
0.021902000531554222,
-0.002405554288998246,
-0.002122997073456645,
-0.04255158454179764,
-0.027125488966703415,
-0.003215042408555746,
0.028087710961699486,
-0.0365644246339798,
0.032104603946208954,
-0.006414811592549086,
0.021825632080435753,
-0.00826288852840662,
0.0012715073535218835,
-0.014692973345518112,
0.019687362015247345,
0.0172588974237442,
0.01318854745477438,
0.02680474892258644,
0.049943890422582626,
-0.020328843966126442,
0.01771709881722927,
0.007678682450205088,
0.03784738853573799,
0.008820366114377975,
0.004540006630122662,
0.01330309733748436,
-0.032226793467998505,
-0.03488435596227646,
-0.012508882209658623,
0.04960787668824196,
0.058802440762519836,
-0.052815280854701996,
-0.020451029762625694,
-0.0013707841280847788,
0.015158810652792454,
0.02246711403131485,
-0.009095286019146442,
0.01609812304377556,
0.02469702437520027,
-0.06427030265331268,
0.025292685255408287,
-0.025323232635855675,
0.008232341147959232,
-0.029202666133642197,
0.007636680267751217,
-0.036442238837480545,
-0.033418115228414536,
-0.005926064215600491,
0.047439057379961014,
0.03396795317530632,
0.030393987894058228,
-0.043406892567873,
-0.014692973345518112,
0.03302100673317909,
0.06045196205377579,
-0.022131100296974182,
0.020924504846334457,
0.02426937036216259,
0.01802256517112255,
0.02353624999523163,
0.019274981692433357,
0.047286324203014374,
0.014761703088879585,
-0.02891247160732746,
0.031768590211868286,
-0.011485567316412926,
0.031646404415369034,
0.005452590063214302,
0.03800012171268463,
0.044109467417001724,
0.014601333066821098,
0.02434573695063591,
0.029248487204313278,
0.01748799905180931,
0.04835546016693115,
-0.024788664653897285,
-0.04255158454179764,
0.003188314149156213,
0.012249235063791275,
0.020542670041322708,
0.033723581582307816,
0.018312759697437286,
0.011332834139466286,
-0.008889095857739449,
0.07349541038274765,
-0.018343307077884674,
-0.019427714869379997,
-0.020909231156110764,
-0.02162707969546318,
0.02967614121735096,
0.020619036629796028,
0.009225109592080116,
0.007850507274270058,
0.01418895274400711,
0.025246866047382355,
0.009820771403610706,
0.021031418815255165,
0.017243623733520508,
0.018496040254831314,
-0.003667515702545643,
-0.004883657209575176,
-0.02089395746588707,
-0.011737577617168427,
0.03354030102491379,
0.003314319299533963,
-0.014318776316940784,
-0.05654198303818703,
0.0017468907171860337,
0.02752259559929371,
0.02226855978369713,
-0.014135495759546757,
0.015899568796157837,
0.053578950464725494,
0.018648773431777954,
0.003638878231868148,
-0.049363501369953156,
-0.041238073259592056,
-0.044414933770895004,
-0.05562558025121689,
-0.06512561440467834,
0.0046698302030563354,
-0.0654921755194664,
-0.025598153471946716,
0.019045881927013397,
-0.06585872918367386,
0.07410635054111481,
0.013196184299886227,
-0.026514554396271706,
0.011187736876308918,
0.010172058828175068,
0.01548718847334385,
0.020405210554599762,
0.009606944397091866,
-0.020924504846334457,
0.02104669064283371,
-0.0030623087659478188,
-0.03442615643143654,
-0.045453522354364395,
0.0017793466104194522,
-0.01426531933248043,
-0.013310734182596207,
0.0368087999522686,
-0.0033735036849975586,
-0.020405210554599762,
0.004085624124854803,
-0.031615857034921646,
-0.05046318471431732,
-0.003793521085754037,
0.010446978732943535,
0.03708371892571449,
0.006082615815103054,
0.006200984586030245,
0.03393740952014923,
-0.010989183560013771,
-0.04750015214085579,
0.044873133301734924,
0.017885105684399605,
-0.008522535674273968,
-0.002029447816312313,
0.014799886383116245,
-0.01932080090045929,
-0.039863470941782,
0.051776692271232605,
0.005632051732391119,
0.06714169681072235,
0.026468735188245773,
-0.03622841089963913,
-0.02320023626089096,
0.008942552842199802,
-0.039130352437496185,
-0.026820022612810135,
-0.0011674575507640839,
0.02764478325843811,
0.020221929997205734,
-0.030607815831899643,
0.022711487486958504,
-0.052540361881256104,
-0.030959103256464005,
-0.005975702311843634,
-0.016739603132009506,
0.02848481759428978,
-0.006365173030644655,
-0.004696558695286512,
0.07777195423841476,
0.03228788450360298,
-0.03711426630616188,
-0.021688172593712807,
0.010256062261760235,
0.02066485770046711,
0.021535439416766167,
0.016510503366589546,
-0.06176547333598137,
-0.011936131864786148,
-0.00585733400657773,
-0.02162707969546318,
-0.010309518314898014,
-0.028500091284513474,
-0.02342933602631092,
0.037480827420949936,
0.0010662715649232268,
-0.025048311799764633,
-0.005708418786525726,
0.05758057162165642,
-0.025659246370196342,
-0.0023368243128061295,
-0.030852189287543297,
0.0685468465089798,
0.017503270879387856,
0.00931674987077713,
0.01647995598614216,
0.02795025147497654,
-0.04151299595832825,
-0.0390998050570488,
-0.025506513193249702,
0.033265382051467896,
0.029706686735153198,
-0.05214325338602066,
0.023643162101507187,
0.010706625878810883,
-0.04896639660000801,
0.03302100673317909,
-0.015181721188127995,
-0.012226325459778309,
0.028225170448422432,
-0.0055900500155985355,
0.056572530418634415,
-0.05504519119858742,
-0.012088865041732788,
-0.005964247509837151,
-0.019916463643312454,
-0.0027721149381250143,
-0.015777381137013435,
-0.021886726841330528,
-0.006071161013096571,
0.03094382956624031,
0.0358007587492466,
0.0401078462600708,
0.004532369785010815,
-0.03919144347310066,
-0.00022337290283758193,
-0.028515364974737167,
-0.04918022081255913,
-0.013494014739990234,
0.06378155201673508,
0.006284988019615412,
0.0036885167937725782,
-0.016892338171601295,
0.06518670171499252,
-0.0035166912712156773,
-0.020481577143073082,
0.04346798360347748,
-0.01315036416053772,
0.023246055468916893,
-0.04252103716135025,
0.04731687158346176,
-0.003589239902794361,
-0.04841655492782593,
-0.021077238023281097,
0.010172058828175068,
-0.001414695056155324,
0.009484756737947464,
0.05018826574087143,
-0.00024282257072627544,
-0.028164077550172806,
-0.02407081611454487,
-0.010439341887831688,
0.02365843579173088,
-0.029538679867982864,
-0.018419673666357994,
0.018389126285910606,
0.02426937036216259,
0.020237203687429428,
-0.030500901862978935,
0.033143192529678345,
0.011523750610649586,
-0.005945155862718821,
-0.0004264608724042773,
0.0024742844980210066,
-0.022222740575671196,
-0.006216257810592651,
-0.03726699948310852,
-0.027507323771715164,
0.010172058828175068,
0.004066532477736473,
0.006319352891296148,
-0.011974315159022808,
-0.0449342280626297,
-0.0031100381165742874,
0.04197119548916817,
0.009225109592080116,
-0.08223177492618561,
-0.027232402935624123,
-0.0051089390181005,
0.03277663141489029,
0.05742783844470978,
-0.022650394588708878,
0.016464682295918465,
0.04398727789521217,
-0.03280717879533768,
0.017701825127005577,
-0.031142383813858032,
0.008171248249709606,
-0.01997755654156208,
0.01081353984773159,
0.01622030884027481,
0.006636275444179773,
-0.013623838312923908,
-0.03677825257182121,
0.0084385322406888,
0.03167695179581642,
-0.05046318471431732,
-0.011218283325433731,
0.05916900187730789,
0.007995604537427425,
0.03592294454574585,
0.019717909395694733,
0.04872202128171921,
-0.031463123857975006,
0.051013026386499405,
-0.0022451840341091156,
-0.03105074353516102,
0.03219624608755112,
-0.01445623580366373,
0.0020447212737053633,
-0.06020759046077728,
-0.026636742055416107,
-0.010958636179566383,
0.036869894713163376,
0.009461847133934498,
-0.016128668561577797,
0.015410820953547955,
-0.03390686213970184,
-0.034487247467041016,
-0.003342956770211458,
0.012241599150002003,
-0.040352221578359604,
-0.028423724696040154,
0.005586231593042612,
0.029477586969733238,
-0.02234492637217045,
-0.050585370510816574,
-0.034945450723171234,
0.029996881261467934,
-0.024162456393241882,
-0.01680069789290428,
-0.007083021104335785,
-0.0015282906824722886,
-0.0008853776380419731,
0.006834829226136208,
-0.045606255531311035,
0.01680069789290428,
-0.03940527141094208,
-0.07545040547847748,
-0.06222367286682129,
-0.043345797806978226,
-0.0032112242188304663,
0.000776554923504591,
0.012585249729454517,
-0.06860794126987457,
0.02155071310698986,
-0.0064797233790159225,
0.01924443431198597,
0.019656816497445107,
0.026270180940628052,
-0.02691166289150715,
0.005624415352940559,
0.04688921943306923,
0.055808860808610916,
-0.04878311604261398,
-0.0017497544176876545,
0.03421232849359512,
-0.016617417335510254,
0.004898930434137583,
0.00924038328230381,
-0.04407892003655434,
0.03775575011968613,
-0.07270120084285736,
-0.018877875059843063,
-0.07392306625843048,
-0.0017058434896171093,
-0.0337541289627552,
-0.019412441179156303,
-0.0005307492683641613,
-0.010653168894350529,
-0.03919144347310066,
0.015273360535502434,
-0.0035758756566792727,
-0.03922199085354805,
0.001082499511539936,
0.014975530095398426,
-0.01748799905180931,
-0.06982980668544769,
-0.028133530169725418,
0.01767127774655819,
0.005822968669235706,
-0.008568355813622475,
0.006399538367986679,
-0.019198615103960037,
0.025903619825839996,
-0.0033792310860008,
-0.03137148171663284,
-0.007972694002091885,
-0.03861105814576149,
0.01632722280919552,
0.050249356776475906,
-0.010874632745981216,
0.035831306129693985,
-0.01426531933248043,
0.019305529072880745,
0.002371189184486866,
-0.0009016055846586823,
-0.03086746297776699,
-0.04750015214085579,
-0.020848138257861137,
-0.023566795513033867,
0.10776883363723755,
-0.06081852316856384,
0.038244497030973434,
-0.0055900500155985355,
0.02714076265692711,
0.019717909395694733,
-0.012493609450757504,
-0.013600927777588367,
-0.01748799905180931,
-0.013005266897380352,
-0.06567545235157013,
0.05428152531385422,
0.019992830231785774,
-0.007044837810099125,
-0.013539834879338741,
0.0020962688140571117,
0.02376534976065159,
-0.027660056948661804,
0.018618227913975716,
0.06982980668544769,
-0.038855429738759995,
-0.012065955437719822,
-0.033448658883571625,
0.01165357418358326,
-0.026468735188245773,
-0.012065955437719822,
-0.0358007587492466,
-0.011103733442723751,
-0.014463872648775578,
0.04731687158346176,
-0.027812790125608444,
-0.07050183415412903,
0.0019358985591679811,
0.004482731223106384,
0.06341499835252762,
-0.02998160757124424,
-0.007037200964987278,
-0.00499438913539052,
-0.026361821219325066,
-0.023032227531075478,
0.030531449243426323,
-0.051746148616075516,
-0.006731733679771423,
0.021229971200227737,
-0.007403761614114046,
0.014334049075841904,
-0.029309580102562904,
0.0449342280626297,
-0.06304843723773956,
-0.030760549008846283,
0.04429274797439575,
-0.003791611874476075,
-0.05706127732992172,
0.0018499857978895307,
0.033265382051467896,
0.017533818259835243,
-0.019870642572641373,
0.00992768444120884,
-0.00022038983297534287,
-0.018358580768108368,
-0.004280359484255314,
0.008782182820141315,
0.026850568130612373,
0.0005670235259458423,
-0.013211457058787346,
0.03436506167054176,
0.03512873128056526,
-0.04673648625612259,
-0.009270929731428623,
0.021153604611754417,
-0.01232560258358717,
0.021260518580675125,
0.03405959531664848,
-0.012837260030210018,
-0.014082038775086403,
-0.047103043645620346,
-0.017762918025255203,
0.020603764802217484,
-0.025094132870435715,
0.03102019615471363,
-0.05739729106426239,
0.0005192942917346954,
0.018114205449819565,
-0.035984039306640625,
0.025750886648893356,
-0.014509692788124084,
-0.0533040314912796,
0.03271554037928581,
-0.012638705782592297,
-0.023902809247374535,
0.0016752968076616526,
-0.005078392568975687,
0.003314319299533963,
-0.010721899569034576,
-0.02066485770046711,
-0.010095691308379173,
0.004929477348923683,
0.028469545766711235,
-0.027094941586256027,
0.01017969474196434,
-0.006292624864727259,
-0.03775575011968613,
-0.008766909129917622,
-0.002774024149402976,
-0.031921323388814926,
-0.0298288743942976,
0.002930576214566827,
0.01855713315308094,
-0.049638424068689346,
-0.056450340896844864,
0.055350661277770996,
-0.04789726063609123,
0.03635060042142868,
-0.003405959578230977,
-0.006074979435652494,
-0.03561747819185257,
0.012799076735973358,
0.011699394322931767,
-0.03754192218184471,
-0.0474696047604084,
0.030852189287543297,
-0.011035003699362278,
-0.027308769524097443,
-0.01901533454656601,
0.05082974582910538,
-0.018312759697437286,
0.012165231630206108,
0.01848076656460762,
-0.02258930169045925,
0.0006233440362848341,
0.0459422692656517,
0.041238073259592056,
-0.03360139578580856,
0.04053549841046333,
0.049210768193006516,
0.07593914866447449,
-0.020344117656350136,
-0.08076553046703339,
-0.017167257145047188,
0.01936662197113037,
-0.004242176190018654,
-0.034334514290094376,
0.03262389823794365,
0.032410070300102234,
0.019580448046326637,
-0.07245682179927826,
0.02411663718521595,
0.023597342893481255,
0.029889967292547226,
-0.013333643786609173,
-0.025292685255408287,
-0.0008176020928658545,
0.021993638947606087,
0.03790848329663277,
0.003944345284253359,
0.038091763854026794,
0.031463123857975006,
0.013929305598139763,
-0.015731561928987503,
-0.006185711361467838,
0.0064224484376609325,
0.006865375675261021,
-0.011332834139466286,
-0.03784738853573799,
0.013043450191617012,
-0.06341499835252762,
-0.020848138257861137,
-0.007762685883790255,
0.0004054600140079856,
-0.024284644052386284,
0.03946636617183685,
0.017472725361585617,
-0.027812790125608444,
0.02871391922235489,
-0.03137148171663284,
-0.01632722280919552,
0.0016457046149298549,
-0.07037964463233948,
0.03332647308707237,
-0.030546721071004868,
-0.04505641385912895,
0.018602954223752022,
-0.0162508562207222,
-0.029935788363218307,
-0.011340470984578133,
-0.008621811866760254,
-0.017228351905941963,
0.0018633500440046191,
0.010347701609134674,
0.0010070872958749533,
0.0360451303422451,
-0.0038985253777354956,
0.014349322766065598,
-0.048477645963430405,
0.004421637859195471,
-0.027965523302555084,
0.03931363299489021,
-0.01276852935552597,
-0.05150177329778671,
0.04643101617693901,
0.06188765913248062,
0.006464450154453516,
0.030836915597319603,
-0.029126299545168877,
0.010523345321416855,
0.04582008346915245,
-0.028072437271475792,
-0.014654790051281452,
0.045300789177417755,
0.005929882172495127,
0.05232653394341469,
-0.0012877353001385927,
0.002684293081983924,
0.025552332401275635,
0.03094382956624031,
0.03219624608755112,
-0.032837726175785065,
-0.007327395025640726,
0.011057913303375244,
0.04398727789521217,
-0.024238822981715202,
0.03821394965052605,
0.009446573443710804,
0.03650333359837532,
0.01680069789290428,
-0.003484235377982259,
-0.03699208050966263,
0.01774764619767666,
0.00492565892636776,
0.04160463437438011,
0.029156846925616264,
0.03876379132270813,
0.03968019038438797,
-0.006823373958468437,
0.03876379132270813,
0.024009723216295242,
-0.014654790051281452,
-0.012256871908903122,
0.031768590211868286,
-0.01583847589790821,
0.0024761937092989683,
-0.004742378368973732,
0.00253537786193192,
0.05809986591339111,
-0.06292624771595001,
-0.0056740534491837025,
-0.00035629887133836746,
-0.08736362308263779,
0.04478149488568306,
0.020115016028285027,
-0.010744809173047543,
0.010477525182068348,
0.005135667510330677,
0.031921323388814926,
0.011012093164026737,
0.0023826442193239927,
0.001995082711800933,
0.025399599224328995,
0.05874134600162506,
0.06866902858018875,
0.013646747916936874,
-0.018373852595686913,
0.012753256596624851,
0.0228489488363266,
0.021443799138069153,
0.04084096848964691,
0.08119318634271622,
0.028622278943657875,
-0.06408702582120895,
0.011111370287835598,
0.04630883038043976,
-0.00801087822765112,
-0.04612554982304573,
0.001901533454656601,
0.015975935384631157,
-0.0034498705063015223,
-0.028927745297551155,
0.04023003205657005,
-0.022024186328053474,
0.012035408057272434,
0.005574776791036129,
-0.0005197715945541859,
-0.019076427444815636,
0.04129916802048683,
-0.049058035016059875,
0.021642353385686874,
0.02959977276623249,
0.005593868438154459,
-0.0008099654223769903,
-0.015960661694407463,
0.042734865099191666,
-0.04762233793735504,
-0.007392306812107563,
-0.00816361140459776,
0.0020179927814751863,
0.023979175835847855,
0.016968704760074615,
-0.03010379523038864,
0.000330763723468408,
-0.045758988708257675,
-0.007006654515862465,
-0.0025239228270947933,
0.0037400643341243267,
-0.0006166619714349508,
-0.020756497979164124,
-0.014799886383116245,
-0.005307492800056934,
0.008835638873279095,
-0.0003018875140696764,
0.006475904956459999,
-0.005040209274739027,
-0.006781372241675854,
-0.001220914302393794,
-0.0100269615650177,
-0.026484008878469467,
-0.026056353002786636,
-0.025094132870435715,
-0.018832053989171982,
-0.02718658186495304,
-0.04969951510429382,
0.011279377155005932,
-0.03546474501490593,
-0.02810298465192318,
0.0003209792193956673,
-0.010882269591093063,
0.00847671553492546,
0.019488807767629623,
0.010408795438706875,
0.017808739095926285,
0.04792780801653862,
0.006116981152445078,
-0.010210242122411728,
-0.0009164016810245812,
0.004368181340396404,
-0.007896327413618565,
0.0011550479102879763,
-0.0024284643586724997,
0.0459422692656517,
0.013707841746509075,
0.009362570010125637,
0.027614235877990723,
-0.02465120516717434,
-0.030302347615361214,
-0.01977900229394436,
-0.050860293209552765,
-0.02510940469801426,
-0.020313570275902748,
-0.03302100673317909,
-0.021978367120027542,
0.025506513193249702,
-0.05089084059000015,
-0.04249048978090286,
0.01568574085831642,
-0.00423835776746273,
-0.025506513193249702,
-0.016815969720482826,
0.025674520060420036,
0.008766909129917622,
0.009500030428171158,
-0.029248487204313278,
-0.06317061930894852,
0.27711987495422363,
0.053426217287778854,
0.04026057943701744,
0.022604573518037796,
0.031921323388814926,
0.05061591789126396,
0.020023375749588013,
-0.015731561928987503,
-0.014715882949531078,
-0.015960661694407463,
-0.0024494652170687914,
0.015746835619211197,
0.01629667542874813,
-0.003472780343145132,
0.010530982166528702,
-0.001975991064682603,
-0.04279595613479614,
-0.0025697429664433002,
-0.0064224484376609325,
-0.05082974582910538,
-0.056419797241687775,
0.023490428924560547,
-0.05617542192339897,
-0.010660805739462376,
0.018068386241793633,
-0.006407174747437239,
0.0017459361115470529,
-0.003638878231868148,
-0.03323483467102051,
-0.06023813411593437,
-0.0037247908767312765,
0.018450219184160233,
0.005047845654189587,
-0.02193254604935646,
-0.04826382175087929,
0.03906925767660141,
-0.012165231630206108,
-0.03143257647752762,
-0.001956899417564273,
0.03292936459183693,
0.0016571596497669816,
0.03332647308707237,
0.009362570010125637,
0.020771771669387817,
-0.006464450154453516,
0.04792780801653862,
-0.023719528689980507,
-0.012623433023691177,
0.03937472403049469,
-0.021993638947606087,
0.026438187807798386,
0.007468673400580883,
0.018496040254831314,
-0.0012896443950012326,
-0.006640093866735697,
-0.06057414785027504,
0.00034937812597490847,
-0.02086341194808483,
-0.029385946691036224,
0.013944578357040882,
0.013356554321944714,
-0.015441368333995342,
0.000675368937663734,
0.0035854214802384377,
-0.06909668445587158,
0.02917211875319481,
0.02320023626089096,
0.04432329535484314,
-0.025292685255408287,
0.022604573518037796,
0.017381085082888603,
0.0393441766500473,
-0.007590860594063997,
0.032990459352731705,
-0.0037419735454022884,
-0.0007125977426767349,
-0.015006077475845814,
0.0784439817070961,
0.050707560032606125,
0.002745386678725481,
0.032410070300102234,
-0.007942147552967072,
-0.0215812586247921,
-0.049516234546899796,
0.0286833718419075,
0.02711021527647972,
-0.03286827355623245,
-0.008346891961991787,
-0.025475965812802315,
0.07380087673664093,
0.008094881661236286,
0.009706220589578152,
-0.006082615815103054,
-0.032410070300102234,
-0.034792717546224594
] |
1208_21 | References
Sources
Bruderer, Herbert: Konrad Zuse und die Schweiz. Wer hat den Computer erfunden? Charles Babbage, Alan Turing und John von Neumann Oldenbourg Verlag, München 2012, XXVI, 224 Seiten,
in
Petzold, Charles (2008). "The Annotated Turing: A Guided Tour through Alan Turing's Historic Paper on Computability and the Turing Machine". Indianapolis: Wiley Publishing.
Smith, Roger (1997). Fontana History of the Human Sciences. London: Fontana.
Weizenbaum, Joseph (1976). Computer Power and Human Reason. London: W.H. Freeman.
and
Turing's mother, who survived him by many years, wrote this 157-page biography of her son, glorifying his life. It was published in 1959, and so could not cover his war work. Scarcely 300 copies were sold (Sara Turing to Lyn Newman, 1967, Library of St John's College, Cambridge). The six-page foreword by Lyn Irvine includes reminiscences and is more frequently quoted. It was re-published by Cambridge University Press in 2012, to honour the centenary of his birth, and included a new foreword by Martin Davis, as well as a never-before-published memoir by Turing's older brother John F. Turing.
This 1986 Hugh Whitemore play tells the story of Turing's life and death. In the original West End and Broadway runs, Derek Jacobi played Turing and he recreated the role in a 1997 television film based on the play made jointly by the BBC and WGBH, Boston. The play is published by Amber Lane Press, Oxford, ASIN: B000B7TM0Q
Williams, Michael R. (1985) A History of Computing Technology, Englewood Cliffs, New Jersey: Prentice-Hall,
Further reading
Articles
Books
(originally published in 1983); basis of the film The Imitation Game
(originally published in 1959 by W. Heffer & Sons, Ltd)
External links | [
0.04548410698771477,
-0.03872697800397873,
0.05170542746782303,
-0.010180342942476273,
0.01300821639597416,
-0.030689865350723267,
-0.03223775327205658,
-0.03506562486290932,
-0.024185756221413612,
-0.01602957583963871,
-0.004163670819252729,
-0.03164241090416908,
0.02750478684902191,
-0.044293422251939774,
-0.012963565066456795,
-0.019482556730508804,
0.006883638445287943,
-0.019720694050192833,
-0.03646467998623848,
-0.005972021259367466,
0.06953591108322144,
0.007538514211773872,
-0.07108379900455475,
-0.0075422353111207485,
-0.035660967230796814,
0.0200778990983963,
0.0359288714826107,
-0.008066879585385323,
0.06655920296907425,
0.014206341467797756,
0.05352121964097023,
-0.004599014762789011,
0.01576167158782482,
-0.025852713733911514,
0.025034118443727493,
-0.025733644142746925,
0.03941161930561066,
-0.08340737223625183,
0.03842930495738983,
-0.0446803942322731,
0.027370834723114967,
-0.06894056499004364,
0.033696338534355164,
-0.06590432673692703,
-0.05798628181219101,
-0.00032441472285427153,
0.02131323330104351,
0.016669567674398422,
0.02874012105166912,
-0.02979685179889202,
-0.015062144957482815,
-0.0009683604585006833,
0.05111008509993553,
-0.017770949751138687,
0.02433459274470806,
-0.012703103944659233,
0.008185948245227337,
-0.0011739394394680858,
-0.04054277017712593,
-0.028308497741818428,
0.03643491119146347,
-0.020092781633138657,
0.04938359558582306,
-0.03399401158094406,
0.010470571927726269,
0.014905868098139763,
0.04661525413393974,
0.014541220851242542,
-0.010731033980846405,
-0.006254808511584997,
-0.02348623052239418,
-0.011147772893309593,
-0.012918914668262005,
-0.03372610732913017,
0.00013197516091167927,
-0.03223775327205658,
-0.00040697187068872154,
0.0050864508375525475,
-0.04471016302704811,
0.030541028827428818,
-0.009860347025096416,
0.0036129800137132406,
-0.0038046054542064667,
0.024974584579467773,
0.004818547051399946,
-0.07286982238292694,
0.030109405517578125,
0.0101133668795228,
-0.0027497345581650734,
-0.014526337385177612,
0.043787382543087006,
0.020628590136766434,
0.010530106723308563,
0.003581352299079299,
0.01140823494642973,
0.011192424222826958,
-0.01808350346982479,
0.026239685714244843,
-0.008558036759495735,
0.01492819283157587,
0.047984540462493896,
0.09073007851839066,
-0.024304823949933052,
0.07197681069374084,
-0.0001652305800234899,
0.004338552709668875,
-0.009525466710329056,
0.030570795759558678,
-0.023024840280413628,
-0.01967604272067547,
0.007326423656195402,
0.024200640618801117,
0.006206437014043331,
-0.03417261317372322,
-0.002230671001598239,
0.016371896490454674,
-0.010701267048716545,
0.0338154099881649,
-0.03628607466816902,
0.04036416858434677,
-0.012874264270067215,
0.014325409196317196,
-0.006053880788385868,
0.016639800742268562,
0.008855707943439484,
0.004807384219020605,
-0.009547792375087738,
0.041971590369939804,
-0.007010148372501135,
-0.03869720920920372,
0.0021376488730311394,
-0.00698782317340374,
-0.028442449867725372,
-0.01437006052583456,
-0.03271402791142464,
0.025584809482097626,
0.00789571925997734,
-0.00908640306442976,
-0.024795981124043465,
-0.007545955944806337,
0.017458396032452583,
-0.013864019885659218,
0.0006032485980540514,
0.0634038895368576,
0.0013571929885074496,
0.041525084525346756,
-0.030957767739892006,
0.05408679321408272,
-0.028293613344430923,
0.006649222690612078,
-0.04453155770897865,
-0.02985638566315174,
0.020598823204636574,
0.04533527046442032,
0.014332851395010948,
0.015121678821742535,
-0.007519909646362066,
-0.0018855588277801871,
0.008565478958189487,
0.029454531148076057,
-0.0253615565598011,
0.03664328157901764,
-0.009986856952309608,
0.06093322113156319,
0.005927370861172676,
0.019155118614435196,
0.000013800706256006379,
0.026031315326690674,
0.009458491578698158,
-0.020703008398413658,
-0.023114141076803207,
0.02158113569021225,
-0.014608196914196014,
-0.017130957916378975,
0.037923265248537064,
0.0341130793094635,
0.030868466943502426,
-0.005186914466321468,
0.0038046054542064667,
-0.04292413592338562,
-0.026701075956225395,
-0.008215715177357197,
0.04271576553583145,
0.050395675003528595,
-0.0341130793094635,
-0.012472408823668957,
-0.0020799750927835703,
-0.02375413291156292,
0.00015430047642439604,
0.021908573806285858,
0.0013832391705363989,
0.028085244819521904,
-0.037476759403944016,
0.018187688663601875,
0.005313424859195948,
0.04310273751616478,
-0.033130764961242676,
0.00917570386081934,
0.007025031838566065,
-0.008461293764412403,
-0.025093652307987213,
0.029141975566744804,
0.019214652478694916,
-0.0076278154738247395,
-0.023769017308950424,
0.028591284528374672,
0.004878080915659666,
0.029469413682818413,
-0.046258050948381424,
0.012048227712512016,
0.02545085735619068,
-0.010150576010346413,
0.013090075924992561,
0.0202267337590456,
0.035452596843242645,
0.010254761204123497,
-0.07161960750818253,
0.044263653457164764,
-0.01087986957281828,
0.0812046080827713,
0.014831449836492538,
0.039947427809238434,
-0.006891080178320408,
0.009890113957226276,
-0.01835140772163868,
-0.00954035110771656,
0.0050938925705850124,
0.054860737174749374,
-0.04113811254501343,
0.00879617314785719,
0.01937837153673172,
0.0038994881324470043,
-0.030421961098909378,
0.006965497974306345,
0.01711607351899147,
0.02010766603052616,
0.01277007907629013,
0.02762385457754135,
-0.0015739345690235496,
0.01059708185493946,
-0.03941161930561066,
0.006920847110450268,
0.050157539546489716,
0.07013124972581863,
0.02704339660704136,
0.022474149242043495,
0.011080797761678696,
-0.0014474245253950357,
0.01790490187704563,
-0.011184982024133205,
-0.05185426026582718,
0.05962347239255905,
-0.03601817414164543,
-0.018663961440324783,
-0.06620199978351593,
-0.028427565470337868,
0.0012744033010676503,
0.04789523780345917,
-0.019884413108229637,
-0.05995091050863266,
-0.021075095981359482,
0.05950440093874931,
0.05081241577863693,
0.016193294897675514,
0.010478014126420021,
0.009309655986726284,
0.024349475279450417,
0.04304320365190506,
0.016103992238640785,
-0.03878651186823845,
-0.03845907375216484,
-0.06590432673692703,
-0.09585001319646835,
0.003140427405014634,
-0.059385333210229874,
-0.008498502895236015,
0.004264134913682938,
-0.05378912389278412,
0.048609647899866104,
-0.041644152253866196,
-0.008431526832282543,
-0.025882480666041374,
-0.015449116937816143,
0.005998067557811737,
0.031195905059576035,
-0.05078264698386192,
-0.025822946801781654,
-0.00185300107114017,
-0.027058281004428864,
0.01952720806002617,
0.048371512442827225,
-0.021997876465320587,
-0.01784536801278591,
-0.03589910268783569,
0.025123419240117073,
-0.011043588630855083,
-0.016431430354714394,
0.006768290884792805,
-0.03616700693964958,
-0.06334435939788818,
-0.050395675003528595,
-0.025644343346357346,
0.006198995281010866,
-0.013864019885659218,
0.006578525993973017,
0.046049680560827255,
0.0032185660675168037,
-0.03205915167927742,
0.06268948316574097,
0.02879965491592884,
-0.0498003326356411,
0.01344728097319603,
-0.03491679206490517,
0.020628590136766434,
-0.03902464732527733,
0.061022523790597916,
0.024587612599134445,
0.030630329623818398,
-0.03789350017905235,
-0.005919929128140211,
-0.004226926248520613,
-0.01233101449906826,
-0.00636271433904767,
-0.00962965190410614,
-0.043727848678827286,
0.020717890933156013,
-0.026760609820485115,
-0.03467865288257599,
0.012591476552188396,
0.003663211828097701,
-0.027326183393597603,
-0.001231613103300333,
-0.02481086552143097,
0.014645406045019627,
0.014072389341890812,
-0.042090658098459244,
-0.0009637093753553927,
0.012777521274983883,
0.02439412660896778,
-0.013789602555334568,
-0.024111337959766388,
-0.016639800742268562,
-0.0004767384671140462,
0.027281533926725388,
-0.020822076126933098,
-0.009361748583614826,
0.025822946801781654,
0.002578573767095804,
0.03423214703798294,
-0.04072137176990509,
-0.0006530154496431351,
0.03726838901638985,
0.025049002841114998,
-0.030392194166779518,
0.02695409581065178,
0.05128868669271469,
0.010552431456744671,
-0.0051831938326358795,
-0.026209918782114983,
0.0325949564576149,
0.012889147736132145,
0.01605934277176857,
0.03819116950035095,
0.0344107486307621,
-0.07519165426492691,
-0.03396424278616905,
-0.007672466337680817,
0.005566444713622332,
0.06846429407596588,
-0.08447898924350739,
0.03929255157709122,
-0.0032074034679681063,
-0.04277529940009117,
-0.005927370861172676,
-0.009949647821485996,
-0.00006534805288538337,
0.027430368587374687,
-0.026328986510634422,
0.0350060909986496,
-0.035422831773757935,
-0.0018492802046239376,
0.017041655257344246,
-0.01922953687608242,
0.033160533756017685,
-0.01925930380821228,
0.007114333100616932,
0.04682362452149391,
0.037625595927238464,
-0.003404610324651003,
0.003549724817276001,
-0.030689865350723267,
-0.03464888781309128,
-0.015806322917342186,
-0.05340215191245079,
-0.013893786817789078,
-0.043668314814567566,
0.06495177745819092,
0.02921639382839203,
-0.00408925348892808,
-0.013276119716465473,
0.029409879818558693,
0.016505848616361618,
0.01787513494491577,
0.05331284925341606,
-0.013677975162863731,
-0.024647146463394165,
-0.033130764961242676,
0.0634038895368576,
0.0038101868703961372,
-0.00019174188491888344,
-0.0032967047300189734,
0.001191613613627851,
0.013826810754835606,
-0.016476081684231758,
0.03625630959868431,
0.002463226206600666,
-0.030987534672021866,
-0.050693344324827194,
-0.04223949462175369,
-0.035452596843242645,
-0.052419837564229965,
-0.022206244990229607,
0.003093916457146406,
0.07959718257188797,
0.050425440073013306,
-0.01623794436454773,
-0.01753281243145466,
-0.003469725837931037,
0.017279792577028275,
-0.0043757613748312,
0.0271624643355608,
-0.022206244990229607,
-0.033636804670095444,
-0.0338154099881649,
-0.033100999891757965,
0.011296608485281467,
0.024304823949933052,
-0.007423166651278734,
0.023114141076803207,
-0.020479753613471985,
0.022206244990229607,
0.000632085429970175,
0.000033604246709728613,
0.015024935826659203,
-0.00022778796846978366,
0.0015171910636126995,
0.015047261491417885,
0.0031925197690725327,
-0.029261045157909393,
-0.008416643366217613,
0.03878651186823845,
-0.04137624800205231,
0.006626897491514683,
-0.004755291622132063,
0.023560646921396255,
0.0014102156274020672,
-0.004081811290234327,
-0.0422692596912384,
0.0014120760606601834,
-0.0027869432233273983,
-0.056706298142671585,
0.0026548518799245358,
0.0452757366001606,
-0.017890017479658127,
0.009897556155920029,
0.06423737108707428,
0.052419837564229965,
0.0027906643226742744,
-0.0235457643866539,
0.016714219003915787,
0.004610177129507065,
0.0055329566821455956,
-0.01690770499408245,
-0.03557166829705238,
-0.01082033570855856,
-0.012502175755798817,
0.01626771129667759,
-0.039887893944978714,
0.03182101249694824,
-0.06352295726537704,
-0.010827776975929737,
0.01908070221543312,
0.026879677549004555,
0.005882719997316599,
0.01759234629571438,
-0.01850024238228798,
0.006954335141927004,
-0.022027643397450447,
-0.03732792288064957,
-0.020211851224303246,
0.01958674192428589,
0.020926261320710182,
-0.010224993340671062,
0.007918044924736023,
-0.0645945742726326,
-0.010046390816569328,
-0.03816140443086624,
-0.02375413291156292,
-0.004524596966803074,
0.011929159052670002,
0.031374506652355194,
0.0036520492285490036,
0.029439646750688553,
-0.010381271131336689,
0.007345028221607208,
-0.035273995250463486,
-0.0271624643355608,
-0.025168070569634438,
0.027936408296227455,
0.023739250376820564,
0.019631393253803253,
-0.05658722668886185,
0.0017023051623255014,
0.020152317360043526,
0.022265778854489326,
-0.01799420267343521,
0.020717890933156013,
-0.03265449032187462,
-0.017800716683268547,
0.069416843354702,
0.030868466943502426,
-0.02888895571231842,
0.017696531489491463,
0.0344107486307621,
-0.023382045328617096,
0.020152317360043526,
0.035541899502277374,
-0.03378564119338989,
-0.004859476815909147,
-0.10448246449232101,
-0.0006609223200939596,
-0.04337064176797867,
-0.011445444077253342,
-0.003292983863502741,
0.009592442773282528,
-0.04652595520019531,
-0.01268077827990055,
0.016371896490454674,
-0.026998745277523994,
0.004517155233770609,
-0.045930612832307816,
-0.010775684379041195,
0.00741200428456068,
-0.019214652478694916,
-0.045900844037532806,
-0.01699700579047203,
-0.002100439975038171,
0.02554015815258026,
-0.001698584295809269,
0.002586015500128269,
0.0368218831717968,
0.015925390645861626,
-0.01967604272067547,
0.009845463559031487,
-0.016982121393084526,
-0.03235682100057602,
0.01582120545208454,
0.0476868711411953,
-0.01732444390654564,
0.04774640500545502,
0.021476952359080315,
0.019661160185933113,
-0.05545607954263687,
-0.035393062978982925,
-0.011527303606271744,
-0.06405876576900482,
-0.024557845667004585,
0.01970580965280533,
0.0642969012260437,
-0.008550595492124557,
0.03875674307346344,
0.015158887952566147,
0.010314295068383217,
0.015464000403881073,
-0.004647386260330677,
-0.06292761862277985,
0.0012604499934241176,
-0.03417261317372322,
-0.04060230404138565,
0.020732775330543518,
0.037238623946905136,
-0.011125448159873486,
0.0011134750675410032,
-0.023739250376820564,
0.046436652541160583,
-0.028368031606078148,
0.014771915972232819,
0.09090867638587952,
-0.009361748583614826,
0.004532038699835539,
-0.0032632166985422373,
0.0052055190317332745,
-0.01759234629571438,
-0.030749399214982986,
-0.028144778683781624,
0.013715184293687344,
-0.0012381246779114008,
0.030957767739892006,
0.007103170733898878,
-0.04956219717860222,
0.003132985671982169,
0.031195905059576035,
0.05533701181411743,
-0.010798010043799877,
0.025674110278487206,
-0.01711607351899147,
-0.04107857868075371,
-0.005704117473214865,
0.021923458203673363,
-0.050663579255342484,
-0.01488354243338108,
0.004855755716562271,
0.011929159052670002,
0.024587612599134445,
-0.017309559509158134,
-0.0012278922367841005,
-0.06923823803663254,
-0.03423214703798294,
0.005741326604038477,
-0.008870591409504414,
-0.028204312548041344,
0.06810709089040756,
0.0226378683000803,
-0.03845907375216484,
-0.006578525993973017,
-0.01061196532100439,
-0.060724854469299316,
-0.03908418118953705,
-0.05176496133208275,
0.022890888154506683,
0.012546826153993607,
0.03488702327013016,
-0.04741896688938141,
0.008878032676875591,
-0.0037804197054356337,
-0.019125351682305336,
0.01838117465376854,
0.004290181212127209,
-0.022027643397450447,
0.041465550661087036,
0.06655920296907425,
-0.013797043822705746,
0.02475133165717125,
-0.06388016790151596,
-0.027117814868688583,
-0.003936696797609329,
0.011475211009383202,
0.00009761510591488332,
-0.027355950325727463,
-0.009138494729995728,
0.04509713500738144,
-0.00504179997369647,
0.02034580335021019,
-0.03354750573635101,
-0.0064222486689686775,
0.01142311841249466,
0.0029506622813642025,
-0.046079445630311966,
-0.026180151849985123,
0.019720694050192833,
-0.010105925612151623,
0.010187785141170025,
-0.058998361229896545,
-0.039619989693164825,
0.01967604272067547,
0.044204119592905045,
-0.008081763982772827,
-0.04241809621453285,
-0.03226751834154129,
-0.0697145164012909,
-0.00020464870613068342,
-0.028621051460504532,
-0.02248903177678585,
-0.033279601484537125,
-0.014637963846325874,
-0.01399052981287241,
-0.021982992067933083,
-0.06447550654411316,
0.03405354544520378,
-0.013134726323187351,
0.04298366978764534,
-0.01949744112789631,
0.017517929896712303,
-0.04066183790564537,
0.04012602940201759,
0.005726443137973547,
-0.028085244819521904,
-0.04262646660208702,
-0.011810091324150562,
0.010091042146086693,
-0.013268678449094296,
-0.027415486052632332,
0.025584809482097626,
-0.008305016905069351,
0.008238040842115879,
-0.0030399635434150696,
-0.015464000403881073,
-0.012353340163826942,
0.022474149242043495,
-0.02662665769457817,
0.014064948074519634,
0.005116217769682407,
0.02936522848904133,
0.033220067620277405,
-0.02228066325187683,
-0.01174311526119709,
-0.015434233471751213,
-0.012598918750882149,
0.0464961864054203,
-0.017547696828842163,
0.00919058732688427,
-0.002195322420448065,
0.04063206911087036,
-0.06021881103515625,
-0.010686383582651615,
0.020658357068896294,
0.006299459375441074,
-0.03911394998431206,
0.010842660441994667,
0.011184982024133205,
0.023218326270580292,
0.027876874431967735,
0.006898521911352873,
0.01720537431538105,
-0.011936601251363754,
-0.004974823910742998,
-0.0003692978934850544,
0.0003734838974196464,
0.01344728097319603,
0.020122548565268517,
-0.0016223061829805374,
-0.03646467998623848,
-0.013685417361557484,
-0.05393795669078827,
0.002182299504056573,
-0.012814730405807495,
0.009242679923772812,
-0.04307297244668007,
0.00590876629576087,
0.0555453822016716,
-0.011542187072336674,
0.03420238196849823,
0.020479753613471985,
-0.015106795355677605,
-0.04488876461982727,
-0.0634038895368576,
0.012450083158910275,
-0.06304668635129929,
-0.025063885375857353,
0.048371512442827225,
-0.023292744532227516,
0.023620182648301125,
0.04706175997853279,
-0.019303955137729645,
0.025435974821448326,
0.026031315326690674,
0.04983010143041611,
0.05119938775897026,
0.0063887606374919415,
-0.008171064779162407,
0.019452789798378944,
-0.044114820659160614,
-0.054444000124931335,
-0.018366292119026184,
0.015538418665528297,
0.024915050715208054,
-0.023129025474190712,
0.022355081513524055,
0.03589910268783569,
-0.0149430762976408,
0.006976660341024399,
-0.07447724789381027,
-0.012792404741048813,
0.018649078905582428,
-0.011854741722345352,
-0.03214845061302185,
0.06376109272241592,
0.02028626762330532,
0.04039393365383148,
-0.01225659716874361,
0.026031315326690674,
0.004535759333521128,
0.0016176550416275859,
0.07120286673307419,
0.03575026988983154,
0.017756065353751183,
0.04250739887356758,
0.08156181126832962,
-0.009696627967059612,
0.022712286561727524,
0.010552431456744671,
0.005544119514524937,
0.008126414380967617,
0.014273317530751228,
-0.019125351682305336,
0.037685129791498184,
0.03631584346294403,
0.02556992508471012,
-0.005603653844445944,
0.04054277017712593,
0.037595827132463455,
-0.02025650069117546,
0.039798591285943985,
0.005998067557811737,
0.03929255157709122,
-0.015389583073556423,
0.017101190984249115,
-0.03697071969509125,
-0.014072389341890812,
-0.02228066325187683,
-0.0452757366001606,
0.05003846809267998,
-0.03396424278616905,
-0.035541899502277374,
0.015285397879779339,
-0.0555453822016716,
0.06435643881559372,
-0.010790567845106125,
-0.03182101249694824,
-0.008825941011309624,
0.006522712297737598,
0.00025278766406700015,
0.0040222774259746075,
-0.0041897171176970005,
-0.017190491780638695,
0.054622601717710495,
0.029201509431004524,
0.008401759900152683,
-0.010604524053633213,
-0.013104959391057491,
-0.0008334784070029855,
0.024215523153543472,
0.018157921731472015,
0.02921639382839203,
0.030660096555948257,
0.0246024951338768,
-0.022042525932192802,
-0.0025711320340633392,
0.035482365638017654,
-0.029752200469374657,
-0.03164241090416908,
0.019690927118062973,
-0.012479850091040134,
0.00010308015771443024,
-0.014779357239603996,
0.02049463801085949,
0.006920847110450268,
0.014228666201233864,
0.0425669327378273,
-0.005834348499774933,
-0.023590415716171265,
0.03384517505764961,
-0.02774292230606079,
0.041763219982385635,
0.01940813846886158,
0.004907848313450813,
-0.011229632422327995,
0.012107761576771736,
0.0473891980946064,
0.025733644142746925,
-0.008915241807699203,
0.0009046402992680669,
-0.03265449032187462,
0.006667827256023884,
0.02650758996605873,
-0.054830972105264664,
0.03661351278424263,
-0.013692858628928661,
-0.02451319433748722,
-0.03586933761835098,
0.014675172977149487,
-0.02170020528137684,
-0.002865081885829568,
-0.03688141703605652,
-0.020479753613471985,
-0.003996231127530336,
0.004777617286890745,
0.013878903351724148,
-0.005447376519441605,
0.019095584750175476,
-0.024111337959766388,
0.01271054521203041,
-0.010671500116586685,
0.006853871513158083,
-0.03464888781309128,
0.023382045328617096,
-0.005659467075020075,
0.005823186133056879,
0.005224123597145081,
-0.05923650041222572,
-0.03450005128979683,
-0.031374506652355194,
0.027519669383764267,
0.001554399961605668,
0.012606360018253326,
-0.008081763982772827,
0.002332995180040598,
0.039887893944978714,
-0.0362265408039093,
0.019095584750175476,
0.02891872264444828,
0.024096455425024033,
0.004982265643775463,
0.03238658979535103,
0.010210109874606133,
0.056557461619377136,
0.014972844161093235,
0.021045329049229622,
0.030660096555948257,
0.02167043834924698,
-0.001103242626413703,
-0.026760609820485115,
-0.02234019711613655,
-0.033160533756017685,
-0.023620182648301125,
-0.016446314752101898,
0.01790490187704563,
0.04018556326627731,
0.0013488209806382656,
-0.05111008509993553,
-0.03825070336461067,
-0.06995265185832977,
-0.010306852869689465,
-0.04319204017519951,
0.04661525413393974,
0.002559969201683998,
-0.015225864015519619,
-0.012509617023169994,
-0.02137276716530323,
0.26242661476135254,
0.0905514732003212,
0.009071518667042255,
0.0017097468953579664,
0.02707316353917122,
0.06298714876174927,
0.028561517596244812,
-0.011609163135290146,
0.03414284810423851,
0.01359611563384533,
-0.005774814635515213,
0.018009087070822716,
-0.021804390475153923,
0.014645406045019627,
0.017696531489491463,
0.041792988777160645,
-0.031374506652355194,
-0.0053097037598490715,
-0.008907800540328026,
-0.04572224244475365,
-0.04750826582312584,
-0.0030548470094799995,
-0.02710293047130108,
-0.057033736258745193,
0.0359288714826107,
0.0037580945063382387,
0.03851860761642456,
-0.011839858256280422,
-0.03146380931138992,
-0.043876681476831436,
-0.025525275617837906,
-0.03182101249694824,
0.007278052158653736,
-0.03947115316987038,
0.002132067456841469,
0.02360529825091362,
-0.004658548627048731,
-0.022890888154506683,
0.001555330236442387,
0.026879677549004555,
-0.011132889427244663,
0.0025636903010308743,
-0.02891872264444828,
-0.004338552709668875,
0.0022920656483620405,
0.039649758487939835,
-0.018931865692138672,
0.04030463472008705,
0.040006961673498154,
-0.04084043949842453,
0.02756432071328163,
-0.03161264583468437,
0.0074715381488204,
-0.035482365638017654,
-0.018649078905582428,
-0.014042622409760952,
0.00003497051147860475,
-0.03881627693772316,
-0.008610129356384277,
0.004930173512548208,
0.022146711125969887,
-0.0024036921095103025,
0.003283681580796838,
0.0008967334288172424,
-0.014109598472714424,
0.039709292352199554,
-0.013268678449094296,
0.05304494500160217,
-0.03860791027545929,
0.025287138298153877,
-0.0075980485416948795,
-0.01717560738325119,
-0.06566619127988815,
-0.006425969302654266,
0.021387649700045586,
0.011958925984799862,
-0.0015032377559691668,
0.016535615548491478,
0.016863053664565086,
-0.03256519138813019,
0.0040073939599096775,
-0.013313328847289085,
-0.005462259985506535,
-0.039203252643346786,
0.04944312945008278,
0.02055417187511921,
-0.054563067853450775,
0.01090963650494814,
-0.02689456194639206,
0.025733644142746925,
0.03360703960061073,
-0.0042380886152386665,
-0.003501353319734335,
-0.0063515519723296165,
-0.02768338844180107
] |
1208_22 | External links
Oral history interview with Nicholas C. Metropolis, Charles Babbage Institute, University of Minnesota. Metropolis was the first director of computing services at Los Alamos National Laboratory; topics include the relationship between Turing and John von Neumann
How Alan Turing Cracked The Enigma Code Imperial War Museums
Alan Turing RKBExplorer
Alan Turing Year
CiE 2012: Turing Centenary Conference
Science in the Making Alan Turing's papers in the Royal Society's archives
Alan Turing site maintained by Andrew Hodges including a short biography
AlanTuring.net – Turing Archive for the History of Computing by Jack Copeland
The Turing Archive – contains scans of some unpublished documents and material from the King's College, Cambridge archive
Alan Turing Papers – University of Manchester Library, Manchester
Sherborne School Archives – holds papers relating to Turing's time at Sherborne School
Alan Turing plaques recorded on openplaques.org
Alan Turing archive on New Scientist
1912 births
1954 deaths
1954 suicides
20th-century mathematicians
20th-century atheists
20th-century British scientists
20th-century English philosophers
Academics of the University of Manchester
Academics of the University of Manchester Institute of Science and Technology
Alumni of King's College, Cambridge
Artificial intelligence researchers
Bayesian statisticians
Bletchley Park people
British anti-fascists
British cryptographers
British people of World War II
Computability theorists
Computer designers
English atheists
English computer scientists
English inventors
English logicians
English male long-distance runners
English mathematicians
English people of Irish descent
English people of Scottish descent
Fellows of King's College, Cambridge
Fellows of the Royal Society
Former Protestants
Foreign Office personnel of World War II
Gay academics
Gay scientists
Gay sportsmen
GCHQ people
History of artificial intelligence
History of computing in the United Kingdom
LGBT-related suicides
LGBT mathematicians
LGBT philosophers
LGBT scientists from the United Kingdom
LGBT sportspeople from England
LGBT track and field athletes
Officers of the Order of the British Empire
People educated at Sherborne School
People from Maida Vale
People from Wilmslow
People convicted for homosexuality in the United Kingdom
People who have received posthumous pardons
Princeton University alumni
Recipients of British royal pardons
Suicides by cyanide poisoning
Suicides in England
Theoretical computer scientists
Deaths by poisoning | [
0.02712390571832657,
-0.04713531956076622,
0.007225506938993931,
-0.02050868608057499,
0.038365256041288376,
-0.008973492309451103,
-0.021789537742733955,
-0.06160140410065651,
-0.00944062601774931,
-0.01164067629724741,
-0.0033961390145123005,
-0.00740256579592824,
0.04231329262256622,
-0.05421767383813858,
-0.037491265684366226,
0.011896846815943718,
0.006163154263049364,
0.005899449344724417,
-0.031373318284749985,
-0.009779674932360649,
0.044874995946884155,
0.023221077397465706,
-0.04409141466021538,
-0.013720175251364708,
-0.0077114771120250225,
-0.013049612753093243,
0.024019725620746613,
-0.008265256881713867,
0.05066142976284027,
0.04388045147061348,
0.04493527114391327,
-0.002868729643523693,
0.019664831459522247,
-0.070823535323143,
0.034628186374902725,
-0.016229137778282166,
0.033302128314971924,
-0.06925637274980545,
0.01936345547437668,
-0.03938993811607361,
-0.007274481002241373,
-0.048340827226638794,
0.029384231194853783,
-0.06268636137247086,
-0.05240941420197487,
0.006223429460078478,
0.025451265275478363,
0.028781477361917496,
-0.004445306956768036,
-0.034718599170446396,
-0.005251489579677582,
0.029384231194853783,
0.06624260544776917,
-0.013147559948265553,
0.03263910114765167,
-0.04261466860771179,
-0.0020380602218210697,
-0.010480375960469246,
-0.051776520907878876,
-0.015972966328263283,
0.03580355644226074,
0.018715495243668556,
0.014014017768204212,
-0.04647229239344597,
0.006991940084844828,
0.04092695936560631,
0.014624306000769138,
-0.010706407949328423,
-0.011768761090934277,
-0.024185482412576675,
-0.014074292965233326,
-0.001586936879903078,
-0.009561176411807537,
-0.03016781061887741,
-0.00943309161812067,
-0.030213017016649246,
0.010081051848828793,
-0.015249663032591343,
0.006328911520540714,
0.020267585292458534,
0.03381446748971939,
0.019514143466949463,
-0.02031279169023037,
0.027621177956461906,
-0.008581702597439289,
-0.051023080945014954,
0.02979109063744545,
0.02673211693763733,
0.007368660997599363,
-0.018142879009246826,
0.050149086862802505,
0.025059474632143974,
0.010924906469881535,
0.01936345547437668,
0.037792641669511795,
-0.003119249129667878,
-0.018338773399591446,
0.025511540472507477,
-0.012333842925727367,
0.013577021658420563,
0.04107764735817909,
0.07769492268562317,
-0.026129363104701042,
0.07667023688554764,
0.012800976634025574,
0.037009064108133316,
-0.053886160254478455,
0.03197607025504112,
-0.01063106395304203,
-0.0400228314101696,
0.025044405832886696,
0.0034677160438150167,
0.007790588308125734,
-0.03435694798827171,
0.01609351672232151,
0.05774378031492233,
-0.0032755883876234293,
0.01054065115749836,
-0.028585582971572876,
0.0290225800126791,
-0.012266033329069614,
-0.0013703223085030913,
0.0037615583278238773,
0.0062950062565505505,
-0.019694969058036804,
-0.002085150219500065,
-0.028103379532694817,
0.05943148955702782,
-0.006686796434223652,
-0.011859174817800522,
0.03324185311794281,
0.028962302953004837,
-0.006264868658035994,
-0.020267585292458534,
-0.0013411265099421144,
0.009500901214778423,
0.00824265368282795,
0.019800450652837753,
0.004012077581137419,
-0.01695244200527668,
0.009078973904252052,
-0.02376355603337288,
-0.00032350909896194935,
0.06169181689620018,
-0.013494143262505531,
0.0553930439054966,
-0.016590788960456848,
0.016304481774568558,
-0.012913992628455162,
0.010759149678051472,
-0.006698098033666611,
-0.04252425581216812,
-0.007221739739179611,
0.032699376344680786,
0.008544030599296093,
0.026491014286875725,
-0.023778624832630157,
0.007014543283730745,
0.026008812710642815,
0.03113221563398838,
-0.07419895380735397,
0.04508595913648605,
-0.021608712151646614,
0.03517066314816475,
-0.00953103881329298,
0.004110025241971016,
-0.013584556058049202,
0.006837484426796436,
0.024095069617033005,
-0.0164853073656559,
-0.024185482412576675,
0.01450375560671091,
0.002205700846388936,
0.03610493242740631,
0.04713531956076622,
0.027334868907928467,
-0.015882553532719612,
0.00246563833206892,
-0.01437566988170147,
-0.040083106607198715,
-0.004223041236400604,
-0.009704330936074257,
0.05237927660346031,
0.008747459389269352,
-0.03342267870903015,
-0.017736021429300308,
0.002793385647237301,
-0.0034601816441863775,
-0.010751615278422832,
0.0006154677830636501,
0.012115344405174255,
0.028766408562660217,
-0.04445306956768036,
0.01618393138051033,
0.001886429963633418,
0.011949587613344193,
-0.05141486972570419,
0.01589762233197689,
0.009613918140530586,
-0.02029772289097309,
-0.012793442234396935,
0.05198748782277107,
0.027078699320554733,
0.014586634002625942,
-0.026325257495045662,
0.012981802225112915,
0.05132445693016052,
0.05123404413461685,
-0.026460876688361168,
-0.0017131383065134287,
0.05412726104259491,
-0.006223429460078478,
0.01619900017976761,
0.007387496996670961,
0.05756295472383499,
-0.004980250261723995,
-0.057984884828329086,
-0.003494086442515254,
-0.009463229216635227,
0.035863831639289856,
-0.003454530844464898,
0.060878098011016846,
-0.0052929287776350975,
0.027078699320554733,
-0.03306102752685547,
0.001373147708363831,
0.010480375960469246,
0.08649512380361557,
-0.031644556671381,
0.011279024183750153,
0.021503230556845665,
0.04074613377451897,
-0.017193542793393135,
0.014224981889128685,
0.0202223788946867,
0.04216260462999344,
0.01725381799042225,
0.07865932583808899,
0.00021543727780226618,
0.017766159027814865,
-0.019770313054323196,
0.025812916457653046,
0.047075044363737106,
0.021021027117967606,
0.008317997679114342,
0.025918398052453995,
0.006769674830138683,
-0.010457772761583328,
-0.028088310733437538,
0.0065813143737614155,
-0.04053517058491707,
0.0505710169672966,
-0.03245827555656433,
-0.018640151247382164,
-0.03381446748971939,
-0.025993743911385536,
-0.0016830007079988718,
0.04041462019085884,
-0.05237927660346031,
-0.04174067825078964,
0.008513893000781536,
0.028148585930466652,
-0.01063859835267067,
0.004445306956768036,
0.014074292965233326,
0.048129864037036896,
0.024486860260367393,
0.017299024388194084,
0.020523754879832268,
0.011143404990434647,
-0.03095139004290104,
-0.049486059695482254,
-0.09083494544029236,
-0.00250331056304276,
-0.039631038904190063,
0.0069542680867016315,
0.0036202878691256046,
-0.058105435222387314,
0.025164956226944923,
-0.024215620011091232,
0.012861251831054688,
-0.029263680800795555,
-0.008016620762646198,
0.004874768666923046,
0.0012064487673342228,
-0.033663779497146606,
-0.05174638330936432,
-0.0008843523683026433,
-0.03390488401055336,
0.002066314220428467,
-0.0009394477820023894,
-0.016229137778282166,
-0.023733418434858322,
-0.0056282104924321175,
0.02106623351573944,
-0.0018440488493070006,
0.00577136455103755,
0.012281102128326893,
-0.06139044091105461,
-0.0267170462757349,
-0.012590012513101101,
0.010653667151927948,
0.005191214382648468,
-0.02585812285542488,
0.0008546855533495545,
0.00747037585824728,
0.02884175255894661,
-0.023326558992266655,
0.04321742430329323,
-0.008084430359303951,
-0.017072992399334908,
0.010510513558983803,
0.009086508303880692,
-0.003019418101757765,
-0.03628575801849365,
0.04809972643852234,
0.02710883691906929,
0.0664234310388565,
-0.011188611388206482,
-0.010744080878794193,
-0.05328340455889702,
0.00025522842770442367,
-0.012612616643309593,
-0.05256010219454765,
-0.0043398248963057995,
0.06473572552204132,
-0.013577021658420563,
-0.014729787595570087,
0.030619876459240913,
-0.025797847658395767,
-0.03785291686654091,
0.01647023856639862,
-0.014096896164119244,
0.051595695316791534,
0.005172377917915583,
0.020538823679089546,
-0.016545582562685013,
0.03306102752685547,
0.021292265504598618,
-0.023703278973698616,
-0.04499554634094238,
-0.00630254065617919,
-0.0037031664978712797,
0.017931915819644928,
-0.06491655111312866,
-0.004633667413145304,
-0.02594853565096855,
-0.00919198989868164,
0.00013762085291091353,
-0.014586634002625942,
0.013916070573031902,
0.0267170462757349,
0.010563254356384277,
-0.023160802200436592,
-0.02834448218345642,
0.08305943012237549,
-0.020267585292458534,
0.036556996405124664,
-0.022588185966014862,
0.043157149106264114,
-0.007658736314624548,
0.023899175226688385,
-0.003974405582994223,
0.022648461163043976,
-0.05219845101237297,
-0.03734057769179344,
-0.02778693474829197,
0.0005580178694799542,
0.05840681120753288,
-0.07504280656576157,
0.05237927660346031,
-0.011369436979293823,
-0.018715495243668556,
0.024743029847741127,
0.012348911724984646,
0.007202903740108013,
0.053584784269332886,
-0.010118723846971989,
0.059341076761484146,
-0.04234343022108078,
-0.01307221595197916,
0.003784161526709795,
-0.018564807251095772,
0.005421014036983252,
-0.027545833960175514,
-0.013494143262505531,
0.015942828729748726,
0.007263179402798414,
0.006343980319797993,
0.025315646082162857,
0.006377885118126869,
0.003512922441586852,
-0.0016622809926047921,
-0.04252425581216812,
-0.012009862810373306,
-0.031373318284749985,
0.07088381052017212,
0.039811864495277405,
-0.004012077581137419,
-0.009787209331989288,
0.06292746216058731,
0.01876070164144039,
0.012559874914586544,
0.061269890516996384,
0.003940500784665346,
-0.0022452566772699356,
-0.04912440851330757,
0.036918651312589645,
0.004396332893520594,
0.02355259098112583,
-0.04840110242366791,
0.024637548252940178,
0.025526609271764755,
0.0016980695072561502,
0.03613507002592087,
-0.018851114436984062,
-0.06346993893384933,
-0.019755244255065918,
0.011813967488706112,
0.03095139004290104,
-0.06371103972196579,
-0.031373318284749985,
0.043157149106264114,
0.07468115538358688,
0.01317769754678011,
0.0007049390114843845,
-0.001962715992704034,
0.00450181495398283,
0.0037577911280095577,
-0.022151188924908638,
0.030499326065182686,
-0.054669737815856934,
-0.03486928716301918,
-0.038847461342811584,
-0.08101006597280502,
0.026777323335409164,
0.02652115188539028,
0.02585812285542488,
0.00800155196338892,
-0.04427224025130272,
0.017509987577795982,
0.0027312266174703836,
0.018715495243668556,
-0.03984200209379196,
-0.013833192177116871,
0.012416721321642399,
0.05280120298266411,
0.03390488401055336,
-0.004140162840485573,
-0.01936345547437668,
0.038184430450201035,
-0.02106623351573944,
0.028811614960432053,
-0.002130356850102544,
-0.015159249305725098,
-0.028691064566373825,
0.023884106427431107,
-0.011813967488706112,
0.017027786001563072,
-0.0016462703933939338,
-0.048612065613269806,
-0.0004734910908155143,
0.023251214995980263,
-0.01571679674088955,
-0.009116645902395248,
0.07685106992721558,
0.03122262842953205,
-0.008076895959675312,
-0.02288956195116043,
0.02049361728131771,
-0.011746157892048359,
-0.003727653529495001,
-0.012582478113472462,
-0.020810063928365707,
0.017012717202305794,
-0.03161441907286644,
0.010600926354527473,
-0.035984382033348083,
-0.00790360476821661,
-0.03580355644226074,
0.004682641010731459,
0.014963354915380478,
0.001859117764979601,
0.025134818628430367,
0.0100057078525424,
-0.017494918778538704,
-0.025451265275478363,
-0.011791364289820194,
-0.02643073908984661,
-0.004618598613888025,
0.019001802429556847,
0.011603004299104214,
-0.04731614515185356,
-0.007071051746606827,
0.0090111643075943,
0.03435694798827171,
-0.0149482861161232,
-0.04740655794739723,
0.02097582072019577,
0.006652891170233488,
0.028600651770830154,
-0.001466386136598885,
-0.006909061688929796,
0.005835406947880983,
-0.006551176775246859,
-0.032699376344680786,
-0.06943719834089279,
-0.0386967733502388,
0.01821822300553322,
0.013117422349750996,
0.025360852479934692,
-0.04969702288508415,
0.005443617235869169,
0.013155094347894192,
-0.012612616643309593,
0.005210050381720066,
0.029263680800795555,
-0.009116645902395248,
0.01705792360007763,
0.06557957828044891,
0.0611192025244236,
-0.037220027297735214,
0.01264275424182415,
0.020327860489487648,
-0.027063630521297455,
0.014194844290614128,
0.028675995767116547,
-0.025029337033629417,
0.015731865540146828,
-0.08589237183332443,
0.02346217818558216,
-0.05888901278376579,
-0.010465307161211967,
-0.02759104035794735,
0.004219274036586285,
-0.06413296610116959,
0.03360350430011749,
0.019951140508055687,
-0.03881732374429703,
-0.02508961223065853,
-0.0023319025058299303,
-0.025647159665822983,
0.014194844290614128,
0.013652365654706955,
-0.05644785985350609,
-0.024064932018518448,
0.014594168402254581,
0.021578574553132057,
-0.04674353078007698,
0.009478298015892506,
-0.012989337556064129,
0.01725381799042225,
-0.020523754879832268,
-0.011655745096504688,
-0.022075844928622246,
-0.04252425581216812,
0.009184455499053001,
0.020478548482060432,
-0.014677046798169613,
0.08715815097093582,
-0.025692366063594818,
-0.0020681978203356266,
-0.013064681552350521,
-0.020388135686516762,
-0.05319299176335335,
-0.035200800746679306,
-0.042011916637420654,
0.011746157892048359,
0.07552500814199448,
-0.019694969058036804,
0.045568160712718964,
0.03372405469417572,
0.010028311051428318,
-0.0002415722847217694,
-0.002887565875425935,
-0.002475056331604719,
-0.012996871955692768,
-0.01818808540701866,
-0.03574328124523163,
0.05940135195851326,
0.03486928716301918,
0.021623780950903893,
0.020177172496914864,
-0.03122262842953205,
0.051023080945014954,
-0.05132445693016052,
-0.006193291861563921,
0.06099865213036537,
-0.03495969995856285,
0.008724856190383434,
-0.048823028802871704,
0.051595695316791534,
-0.03384460508823395,
0.00042545917676761746,
-0.008069361560046673,
-0.016982579603791237,
-0.016726408153772354,
0.010073517449200153,
0.006065206602215767,
-0.02394438162446022,
0.002571120159700513,
0.009719399735331535,
0.06334938853979111,
-0.028781477361917496,
0.007214205339550972,
0.01063106395304203,
-0.0444229319691658,
0.008928285911679268,
0.03441722318530083,
-0.06919609755277634,
0.0036673780996352434,
0.001653804793022573,
0.034628186374902725,
0.011135870590806007,
-0.045176371932029724,
-0.031162353232502937,
-0.05626703426241875,
-0.025029337033629417,
0.02002648450434208,
-0.026671839877963066,
-0.0009794743964448571,
0.023537522181868553,
0.023145733401179314,
-0.016651064157485962,
0.023296421393752098,
-0.012085206806659698,
-0.028992442414164543,
0.00757209025323391,
-0.04186122864484787,
0.0014626189367845654,
0.024773167446255684,
-0.021774468943476677,
-0.027515696361660957,
0.05307244136929512,
0.031463731080293655,
-0.03477887436747551,
0.0200114157050848,
-0.014142103493213654,
-0.01668120175600052,
0.03984200209379196,
0.07190848886966705,
-0.033000752329826355,
-0.018655220046639442,
-0.032156895846128464,
-0.0004214565269649029,
-0.0001121333334594965,
0.04083654657006264,
0.035683006048202515,
-0.03170483186841011,
0.018052466213703156,
0.019589487463235855,
-0.008875545114278793,
0.022558048367500305,
-0.0029855133034288883,
-0.03230758383870125,
0.011188611388206482,
-0.04234343022108078,
-0.03544190526008606,
0.008174844086170197,
0.002996814902871847,
0.00009323842823505402,
0.009116645902395248,
-0.03755154088139534,
-0.020478548482060432,
0.030393842607736588,
0.03652685880661011,
-0.03065001405775547,
-0.030002053827047348,
0.0127482358366251,
-0.04385031387209892,
-0.012424255721271038,
-0.03278978914022446,
-0.039631038904190063,
-0.055905383080244064,
-0.006008698605000973,
-0.02270873636007309,
-0.0534340925514698,
-0.06178222969174385,
0.04547774791717529,
-0.040866684168577194,
0.025888260453939438,
-0.0076210638508200645,
-0.009583779610693455,
-0.04168040305376053,
0.04285576939582825,
0.004403867293149233,
-0.04195164144039154,
-0.011429712176322937,
-0.00824265368282795,
-0.015332541428506374,
0.009847484529018402,
-0.02203063853085041,
0.03601451963186264,
-0.013305782340466976,
-0.013064681552350521,
-0.03622548282146454,
-0.030695220455527306,
-0.05448891222476959,
0.03514052554965019,
0.014420876279473305,
-0.020945683121681213,
0.014345532283186913,
0.05738212913274765,
0.049365509301424026,
0.01130916178226471,
-0.02269366756081581,
0.007282015401870012,
0.01120368018746376,
0.0026954382192343473,
-0.013237972743809223,
0.0022942302748560905,
-0.007387496996670961,
0.030107535421848297,
-0.05988355726003647,
-0.04300646111369133,
0.022437497973442078,
0.01340373046696186,
-0.00024628129904158413,
-0.002345087705180049,
0.012921527028083801,
0.05123404413461685,
0.0433078370988369,
-0.020448410883545876,
0.02040320448577404,
0.02469782344996929,
0.028977371752262115,
-0.018127810209989548,
-0.008634443394839764,
-0.0014494337374344468,
-0.03661727160215378,
0.005635744892060757,
-0.049757298082113266,
0.02442658320069313,
-0.06093837320804596,
-0.008589236997067928,
-0.05192720890045166,
-0.012243430130183697,
-0.06612205505371094,
-0.0034903192427009344,
0.0000010705642807806726,
-0.022919699549674988,
0.025164956226944923,
-0.01859494484961033,
-0.03161441907286644,
-0.04213246703147888,
-0.03734057769179344,
0.021337471902370453,
-0.056176621466875076,
-0.03149386867880821,
0.02530057728290558,
-0.027726659551262856,
-0.003966871183365583,
-0.01591269113123417,
-0.01598803512752056,
0.0038425533566623926,
0.009696796536445618,
0.00823511928319931,
0.007500513456761837,
-0.023612866178154945,
0.003446996444836259,
0.0064042555168271065,
-0.03550218045711517,
-0.008076895959675312,
-0.060878098011016846,
0.03140345588326454,
0.01859494484961033,
-0.0038613893557339907,
0.02115664631128311,
0.04858192801475525,
0.014435945078730583,
0.036165207624435425,
-0.05506153032183647,
-0.017088061198592186,
0.0200114157050848,
-0.04186122864484787,
-0.026897873729467392,
0.01120368018746376,
0.010148861445486546,
-0.00039532152004539967,
-0.00996803492307663,
0.03514052554965019,
0.014149637892842293,
0.012386583723127842,
0.05412726104259491,
-0.03734057769179344,
-0.00943309161812067,
0.005955957807600498,
0.04379003867506981,
-0.008702252991497517,
0.0023884105030447245,
-0.0056056072935462,
0.01063859835267067,
0.029670538380742073,
-0.007078586146235466,
-0.04068585857748985,
0.03812415525317192,
0.04629146680235863,
0.031554143875837326,
-0.007850863970816135,
0.06895499676465988,
0.04921482130885124,
-0.014240050688385963,
0.005213817581534386,
0.006174455862492323,
0.01933331787586212,
-0.016696270555257797,
-0.01838397979736328,
-0.03266923874616623,
0.024290964007377625,
0.010608460754156113,
-0.029052717611193657,
0.060968510806560516,
-0.03966117650270462,
-0.02394438162446022,
0.03152400627732277,
-0.0764894112944603,
0.04933537170290947,
-0.009847484529018402,
-0.020719651132822037,
-0.025903329253196716,
-0.0096741933375597,
0.013524280861020088,
0.013418799266219139,
0.02050868608057499,
0.030785633251070976,
0.022392291575670242,
0.032156895846128464,
0.001913742278702557,
0.017585331574082375,
-0.017600400373339653,
-0.01340373046696186,
0.011196145787835121,
0.023160802200436592,
0.04122833535075188,
0.047858625650405884,
-0.006095344200730324,
-0.026867736130952835,
-0.00909404270350933,
0.029655469581484795,
-0.022542979568243027,
-0.03966117650270462,
0.03065001405775547,
-0.012868786230683327,
-0.014677046798169613,
-0.025827985256910324,
0.0012262265663594007,
-0.028781477361917496,
0.000042999159632017836,
0.04644215479493141,
0.012567409314215183,
-0.01522705890238285,
0.03009246662259102,
-0.01925797387957573,
0.038546085357666016,
-0.0018421652493998408,
0.012348911724984646,
0.018610013648867607,
-0.007835795171558857,
0.033392541110515594,
-0.0015520901652052999,
-0.02968560717999935,
-0.0026860202196985483,
-0.022181326523423195,
-0.0068450188264250755,
0.03086097724735737,
-0.021473092958331108,
0.011806433089077473,
-0.03800360485911369,
-0.010058448649942875,
-0.025752641260623932,
0.013320851139724255,
-0.003309493185952306,
0.008943354710936546,
-0.01782643422484398,
-0.04068585857748985,
-0.023447109386324883,
0.00390659598633647,
0.00847622100263834,
-0.013290713541209698,
0.020373066887259483,
-0.02624991349875927,
-0.0052439551800489426,
-0.0030683919321745634,
-0.03610493242740631,
-0.04397086426615715,
-0.008302928879857063,
-0.04433251544833183,
-0.02041827328503132,
0.013516746461391449,
-0.04547774791717529,
-0.055423181504011154,
-0.013162628747522831,
0.004174067638814449,
0.01140710897743702,
0.02894723415374756,
0.007986483164131641,
-0.005010388325899839,
0.015596245415508747,
-0.028480101376771927,
0.004867234267294407,
0.025164956226944923,
-0.00021484865283127874,
-0.014232516288757324,
0.022347085177898407,
-0.02472796104848385,
0.032699376344680786,
0.022663529962301254,
0.0222114659845829,
0.03643644601106644,
0.0004409989051055163,
-0.02127719670534134,
-0.02634032629430294,
-0.03628575801849365,
-0.027425281703472137,
-0.022437497973442078,
-0.021126508712768555,
0.00646829791367054,
0.05280120298266411,
-0.021879950538277626,
-0.03489942476153374,
-0.032428137958049774,
-0.06389186531305313,
-0.022452566772699356,
-0.005413479637354612,
0.046321604400873184,
0.011678348295390606,
0.024275895208120346,
-0.00730461860075593,
-0.04327769950032234,
0.26931023597717285,
0.07865932583808899,
0.042283155024051666,
0.02807324193418026,
0.04273521900177002,
0.07492225617170334,
0.024471791461110115,
0.03637617081403732,
0.0668453574180603,
0.004953879863023758,
-0.032819926738739014,
0.01249959971755743,
-0.010600926354527473,
0.004641201812773943,
0.00029101691325195134,
0.04213246703147888,
-0.02546633407473564,
-0.01427772268652916,
0.011414643377065659,
-0.04436265304684639,
-0.05611634626984596,
0.005729924887418747,
-0.02501426823437214,
-0.013953742571175098,
0.012906458228826523,
-0.012183154001832008,
0.06371103972196579,
-0.014594168402254581,
-0.01096257846802473,
-0.04089682176709175,
-0.011376971378922462,
-0.02058403007686138,
-0.006445694714784622,
-0.053584784269332886,
0.005462453234940767,
0.018926458433270454,
-0.01369757205247879,
-0.02673211693763733,
-0.004795657005161047,
0.0342966727912426,
0.0036297061014920473,
0.01916755922138691,
-0.007395031396299601,
0.0004240464768372476,
0.016500376164913177,
0.04532705992460251,
-0.049486059695482254,
-0.01063859835267067,
0.05268065258860588,
-0.008559099398553371,
0.035863831639289856,
-0.013396196067333221,
0.004791889805346727,
-0.008348135277628899,
-0.016816820949316025,
-0.014255119487643242,
0.019499074667692184,
-0.023055320605635643,
-0.04788876324892044,
-0.0008278441964648664,
0.020342929288744926,
0.006909061688929796,
-0.012846183031797409,
0.03303088992834091,
-0.025436196476221085,
0.04083654657006264,
-0.012394118122756481,
0.04713531956076622,
-0.032518550753593445,
0.01580720953643322,
-0.05108335614204407,
0.018836045637726784,
-0.03489942476153374,
-0.001026564510539174,
-0.003121132729575038,
-0.0184743944555521,
-0.000841029454022646,
0.0505710169672966,
0.026204707100987434,
-0.011527660302817822,
-0.0007864048820920289,
0.002488241530954838,
-0.030529463663697243,
-0.0028159888461232185,
0.021412815898656845,
0.024170413613319397,
-0.033784329891204834,
-0.03553231805562973,
-0.04053517058491707,
0.04620105400681496,
0.03658713400363922,
-0.0356227308511734,
-0.024863580241799355,
-0.0252855084836483,
-0.004083654843270779
] |
1209_0 | Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
The area of a shape can be measured by comparing the shape to squares of a fixed size. In the International System of Units (SI), the standard unit of area is the square metre (written as m2), which is the area of a square whose sides are one metre long. A shape with an area of three square metres would have the same area as three such squares. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.
There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles. Using these formulas, the area of any polygon can be found by dividing the polygon into triangles. For shapes with curved boundary, calculus is usually required to compute the area. Indeed, the problem of determining the area of plane figures was a major motivation for the historical development of calculus.
For a solid shape such as a sphere, cone, or cylinder, the area of its boundary surface is called the surface area. Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus.
Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry. In analysis, the area of a subset of the plane is defined using Lebesgue measure, though not every subset is measurable. In general, area in higher mathematics is seen as a special case of volume for two-dimensional regions. | [
-0.028608880937099457,
0.014211181551218033,
0.030789697542786598,
-0.039541661739349365,
-0.01774783618748188,
-0.014297266490757465,
0.07552514970302582,
-0.02936929650604725,
-0.0003409768978599459,
0.0496135950088501,
0.05113442987203598,
-0.01169319823384285,
-0.03351571783423424,
-0.0001475100580137223,
-0.002998623764142394,
0.01261143758893013,
-0.038393862545490265,
-0.027618903666734695,
-0.05325785651803017,
-0.0028192803729325533,
0.007747640833258629,
0.004193051718175411,
-0.053573500365018845,
-0.041091188788414,
-0.014218355529010296,
0.043329399079084396,
0.07896854728460312,
0.03400353342294693,
0.02868061698973179,
0.0661705881357193,
-0.044218942523002625,
0.022453811019659042,
-0.027547165751457214,
-0.05624213069677353,
-0.01609787531197071,
-0.007381779607385397,
0.03265487030148506,
-0.06249763444066048,
-0.009957153350114822,
-0.03979991748929024,
0.0696713775396347,
-0.015093551948666573,
0.01710219867527485,
-0.014376177452504635,
0.01523702684789896,
0.0271023940294981,
0.017346106469631195,
-0.0282501932233572,
-0.0014212975511327386,
-0.02261163294315338,
0.008271323516964912,
0.00657473411411047,
0.028006285429000854,
-0.012905560433864594,
-0.04734669253230095,
-0.03584001213312149,
0.011277121491730213,
-0.02365899831056595,
-0.02499331533908844,
0.02361595630645752,
0.004002947825938463,
-0.03477829694747925,
-0.02703065797686577,
-0.0775911882519722,
0.027963243424892426,
0.024849839508533478,
0.012123622931540012,
-0.032454006373882294,
0.018192607909440994,
-0.018809549510478973,
-0.02579677291214466,
0.002311738207936287,
0.012955776415765285,
-0.020918630063533783,
-0.006815054453909397,
0.0015755329513922334,
-0.025940248742699623,
0.000060752623539883643,
-0.032454006373882294,
-0.00773329334333539,
0.029727984219789505,
0.041091188788414,
-0.042296379804611206,
0.07357388734817505,
0.0003438912390265614,
-0.0011495919898152351,
-0.007919810712337494,
0.02891017682850361,
0.018809549510478973,
-0.00929716881364584,
0.007184501737356186,
0.01843651570379734,
0.03546697646379471,
0.01763305626809597,
0.03331485390663147,
0.03113403730094433,
0.0020732111297547817,
0.03936949372291565,
0.0027331954333931208,
-0.02043081447482109,
0.07902593165636063,
0.07483647018671036,
-0.04668670892715454,
0.06691665947437286,
-0.0513639897108078,
0.04439111053943634,
-0.037360843271017075,
0.032109666615724564,
-0.0017710174433887005,
-0.036012180149555206,
0.025423739105463028,
-0.010889739729464054,
0.02744673378765583,
-0.0060797459445893764,
-0.006682340055704117,
0.03331485390663147,
-0.0092612998560071,
0.031334903091192245,
-0.007905462756752968,
0.009347384795546532,
-0.0230850987136364,
0.010832349769771099,
0.01571049354970455,
0.031994886696338654,
-0.01816391386091709,
-0.020459510385990143,
0.004544564988464117,
0.044104162603616714,
-0.024735059589147568,
0.0010276384418830276,
-0.00039321070653386414,
-0.005380305927246809,
-0.04266941174864769,
0.027963243424892426,
0.008981524035334587,
-0.0007514493772760034,
0.001625749166123569,
0.05922640860080719,
0.038852982223033905,
-0.021420791745185852,
0.024964619427919388,
-0.010444967076182365,
-0.007797856815159321,
0.049125779420137405,
0.012331661768257618,
0.010093454271554947,
0.02350117638707161,
-0.013917057774960995,
-0.005925510544329882,
-0.03675825148820877,
-0.013709019869565964,
0.011241252534091473,
-0.03618435189127922,
0.011513854376971722,
-0.030961867421865463,
0.0009352765046060085,
-0.022798150777816772,
0.024333329871296883,
-0.03124881722033024,
-0.020990367978811264,
-0.0032604653388261795,
-0.03443395718932152,
0.02434767782688141,
0.04037381708621979,
-0.024821145460009575,
0.037246063351631165,
-0.07483647018671036,
-0.01115516759455204,
-0.023673346266150475,
0.004698800388723612,
0.025854162871837616,
-0.009203909896314144,
0.0014481990365311503,
-0.04591194540262222,
0.03116273321211338,
0.06651493161916733,
0.011757762171328068,
-0.05761948972940445,
-0.004182291217148304,
0.014139444567263126,
-0.020330382511019707,
-0.054836079478263855,
0.022640326991677284,
0.032224446535110474,
-0.025194179266691208,
-0.001763843698427081,
-0.01958431303501129,
0.008421972393989563,
0.004537391476333141,
-0.036471299827098846,
0.05156485363841057,
0.01790565811097622,
-0.03893906623125076,
0.019110847264528275,
-0.015653103590011597,
-0.007826551795005798,
-0.03707389533519745,
0.050818782299757004,
-0.04892491549253464,
-0.04858057573437691,
-0.01728871650993824,
-0.01992865279316902,
0.02246815711259842,
-0.0230850987136364,
-0.031449683010578156,
-0.015897011384367943,
0.024275939911603928,
0.03322876989841461,
-0.048437099903821945,
0.00864435825496912,
0.015409196726977825,
-0.018795201554894447,
-0.008572621271014214,
0.016083527356386185,
0.007726119365543127,
0.008945655077695847,
-0.0062949578277766705,
0.030416663736104965,
-0.020344730466604233,
0.025653298944234848,
-0.009533902630209923,
0.04499370604753494,
-0.0353521965444088,
0.04743277654051781,
0.011442117393016815,
0.012754912488162518,
-0.016011791303753853,
0.04585455358028412,
0.036012180149555206,
0.048207540065050125,
-0.00657473411411047,
0.0708191767334938,
0.018694769591093063,
-0.005670842714607716,
0.03374527767300606,
0.019039109349250793,
-0.0023655411787331104,
0.02396029606461525,
0.006086919456720352,
0.02077515423297882,
0.011707546189427376,
0.05888206884264946,
0.052196141332387924,
-0.01923997513949871,
0.0282501932233572,
0.014247050508856773,
-0.006413324736058712,
0.00868022721260786,
-0.0019907131791114807,
0.07541036605834961,
-0.0404885970056057,
0.05695950612425804,
-0.008178065530955791,
-0.032913126051425934,
-0.020732112228870392,
-0.010193886235356331,
0.006872444413602352,
0.03285573422908783,
-0.018967371433973312,
-0.08114936202764511,
-0.013235553167760372,
0.013063383288681507,
0.04751886427402496,
0.011944279074668884,
-0.002010440919548273,
0.027303259819746017,
0.03320007398724556,
-0.0188238974660635,
-0.059628136456012726,
0.0060797459445893764,
-0.09285690635442734,
-0.021363401785492897,
-0.07724684476852417,
-0.019770830869674683,
-0.01675785891711712,
-0.03506524860858917,
-0.018608685582876205,
-0.043788518756628036,
0.05325785651803017,
0.010760611854493618,
-0.04817884787917137,
0.0010527465492486954,
-0.05730384588241577,
-0.0050718351267278194,
0.014921382069587708,
0.01625569723546505,
-0.009878241457045078,
0.03380266949534416,
0.03733215108513832,
0.02856583707034588,
-0.05394653603434563,
-0.030904477462172508,
0.014907034114003181,
-0.02936929650604725,
0.0064097377471625805,
0.007726119365543127,
0.05007271468639374,
0.0033716585021466017,
0.013206858187913895,
-0.04585455358028412,
-0.06536713242530823,
-0.021449485793709755,
-0.03922601789236069,
0.022683370858430862,
0.0024928750935941935,
0.034864384680986404,
-0.0041213142685592175,
0.0052942209877073765,
0.010193886235356331,
-0.007539601996541023,
-0.045825861394405365,
0.0007518977508880198,
0.002195164794102311,
0.0052117230370640755,
-0.0287953969091177,
0.006589081604033709,
0.018881287425756454,
-0.005566823296248913,
0.010358882136642933,
-0.009046087972819805,
0.01123407855629921,
-0.030158407986164093,
-0.037131283432245255,
-0.014304440468549728,
-0.012374703772366047,
0.012439267709851265,
-0.0024265178944915533,
-0.07007310539484024,
0.016915682703256607,
-0.029871458187699318,
-0.007941331714391708,
-0.01458421628922224,
-0.013185336254537106,
0.031334903091192245,
-0.005703124217689037,
-0.044104162603616714,
0.026055028662085533,
0.02297031879425049,
0.015882663428783417,
0.0033304092939943075,
0.0684087947010994,
-0.06548190861940384,
0.05417609587311745,
0.03139229118824005,
0.029498424381017685,
0.026126766577363014,
-0.02863757498562336,
0.0029322667978703976,
-0.0038020829670131207,
-0.005613452754914761,
-0.015079203993082047,
-0.007761988323181868,
-0.00227586948312819,
0.02418985590338707,
0.007510907016694546,
0.01921127922832966,
-0.02238207310438156,
0.006829401943832636,
-0.051191817969083786,
0.03104795329272747,
0.02572503685951233,
0.0279488954693079,
-0.00910347793251276,
-0.02671501226723194,
-0.04505109414458275,
-0.045481521636247635,
-0.0004091274458914995,
-0.007553949486464262,
0.0319661907851696,
-0.05922640860080719,
0.005333676468580961,
0.017647404223680496,
-0.009096303954720497,
-0.0233863964676857,
0.013565544970333576,
0.026743708178400993,
0.08017373085021973,
0.01466312725096941,
-0.012625784613192081,
-0.03397483751177788,
0.023859864100813866,
-0.006994397845119238,
0.001462546526454389,
0.020516900345683098,
0.03618435189127922,
0.029613204300403595,
-0.0088380491361022,
-0.02020125463604927,
0.006452780216932297,
-0.032482702285051346,
-0.034175705164670944,
0.006596255116164684,
-0.026901530101895332,
-0.026614580303430557,
-0.017762184143066406,
-0.000053606901929015294,
0.03276965022087097,
0.020904282107949257,
0.050617918372154236,
-0.04002947732806206,
0.041091188788414,
0.013637281954288483,
0.026542842388153076,
0.057562101632356644,
-0.027159783989191055,
-0.010574094951152802,
-0.004935534205287695,
0.05317177250981331,
-0.02258293703198433,
-0.008056111633777618,
-0.02614111267030239,
-0.03962774574756622,
-0.015667451545596123,
-0.04826493188738823,
0.032482702285051346,
0.04708843678236008,
-0.041837260127067566,
-0.014849644154310226,
-0.028436711058020592,
0.003891754662618041,
-0.027202827855944633,
-0.014153791591525078,
0.010358882136642933,
0.020846892148256302,
0.018034785985946655,
-0.04734669253230095,
-0.01847955770790577,
-0.037016503512859344,
0.030158407986164093,
0.010674526914954185,
-0.010911260731518269,
-0.029498424381017685,
-0.022224251180887222,
-0.0035169266629964113,
0.011592766270041466,
-0.01989995874464512,
0.006829401943832636,
-0.042497243732213974,
0.005448456387966871,
-0.03959905356168747,
-0.025581561028957367,
0.027346301823854446,
0.016298741102218628,
-0.03845125436782837,
-0.012080579996109009,
0.009914110414683819,
-0.002507222583517432,
0.05833686515688896,
-0.023128142580389977,
0.023558566346764565,
-0.015452238731086254,
-0.01609787531197071,
0.034520044922828674,
-0.00578920915722847,
-0.00795567873865366,
-0.02066037431359291,
0.008034590631723404,
-0.041952040046453476,
0.012016016989946365,
-0.03035927377641201,
-0.0038487121928483248,
0.010739090852439404,
-0.016399173066020012,
-0.007105590775609016,
-0.022453811019659042,
0.0387955941259861,
-0.014153791591525078,
0.009713245555758476,
0.0433867871761322,
0.014648780226707458,
-0.022281641140580177,
-0.027016310021281242,
-0.029297560453414917,
-0.012654479593038559,
0.029225822538137436,
-0.04358765110373497,
-0.04186595603823662,
0.0005057487869635224,
-0.025194179266691208,
-0.03265487030148506,
0.012855344451963902,
-0.0003934348642360419,
-0.014117922633886337,
-0.016126571223139763,
0.004845862276852131,
0.006176591385155916,
-0.023443786427378654,
0.04436241462826729,
-0.033027905970811844,
0.03756171092391014,
-0.04060337692499161,
-0.028034981340169907,
0.05784904956817627,
-0.05044575035572052,
0.017188284546136856,
-0.0027905853930860758,
0.023988990113139153,
-0.0051041170954704285,
0.0011944279540330172,
-0.015079203993082047,
0.03922601789236069,
0.05566823109984398,
0.0005079905386082828,
-0.00008608489588368684,
-0.020674722269177437,
-0.017303064465522766,
-0.02721717394888401,
0.011312990449368954,
-0.0013441797345876694,
0.0025036358274519444,
-0.019684746861457825,
0.007446343544870615,
-0.051995277404785156,
-0.01690133474767208,
0.03957035765051842,
0.06421933323144913,
0.025811120867729187,
0.029039304703474045,
-0.01203753799200058,
0.05658647045493126,
0.005455630365759134,
-0.01958431303501129,
-0.0034093204885721207,
0.0672609955072403,
-0.021822521463036537,
-0.015853967517614365,
-0.027202827855944633,
-0.02510809525847435,
-0.006338000297546387,
-0.04083293676376343,
0.028623227030038834,
-0.038967762142419815,
-0.05423348397016525,
-0.05147876590490341,
-0.04591194540262222,
-0.009942805394530296,
0.013909884728491306,
-0.003633500076830387,
-0.013005993328988552,
0.0035725231282413006,
-0.014110749587416649,
0.030789697542786598,
0.005993661005049944,
0.022095123305916786,
-0.026284588500857353,
0.00014840677613392472,
0.0016042279312387109,
0.04519456997513771,
-0.0111192986369133,
-0.021219925954937935,
0.03807821869850159,
0.007130698766559362,
0.032712262123823166,
-0.010875391773879528,
-0.01632743515074253,
-0.060087256133556366,
-0.019498229026794434,
0.007575470954179764,
0.021262969821691513,
0.04269810765981674,
0.003070361213758588,
0.042985059320926666,
-0.0242328979074955,
-0.010452141053974628,
0.06301414221525192,
0.021306011825799942,
0.017188284546136856,
-0.05707428604364395,
0.04177986830472946,
0.012826649472117424,
-0.052425701171159744,
0.0016203687991946936,
0.014455088414251804,
-0.018881287425756454,
-0.02357291430234909,
-0.04657192900776863,
-0.03320007398724556,
-0.01523702684789896,
-0.0786815956234932,
0.02886713482439518,
-0.011951453052461147,
0.0019691919442266226,
-0.06094810739159584,
-0.05374566838145256,
0.05584040284156799,
0.005803556647151709,
0.008816528134047985,
0.06605581194162369,
0.06932703405618668,
0.008967177011072636,
0.024204203858971596,
-0.01820695586502552,
-0.02721717394888401,
-0.02763325162231922,
0.03093317337334156,
0.002284836722537875,
-0.06152200698852539,
-0.013673150911927223,
-0.03561045229434967,
-0.07001571357250214,
-0.02354421839118004,
0.028221499174833298,
-0.00037348290788941085,
-0.025366349145770073,
0.008816528134047985,
-0.029814068228006363,
-0.04350156709551811,
0.005541715305298567,
0.037705183029174805,
0.004967815708369017,
0.018924329429864883,
0.03549567237496376,
0.02891017682850361,
-0.012317313812673092,
0.0242328979074955,
0.0185225997120142,
-0.021951649338006973,
0.008235455490648746,
0.021937301382422447,
-0.006585494615137577,
-0.0565003864467144,
0.030101018026471138,
0.004006534349173307,
-0.03853733837604523,
-0.027934549376368523,
0.04312853142619133,
-0.042411159723997116,
0.027360649779438972,
-0.02318553254008293,
0.034060925245285034,
0.003215629607439041,
-0.018293039873242378,
-0.003342963522300124,
0.03733215108513832,
0.0233863964676857,
-0.005233244504779577,
-0.0006182868382893503,
0.029311906546354294,
0.026628928259015083,
-0.005111290607601404,
0.059742916375398636,
-0.01751827634871006,
-0.013960100710391998,
-0.0233863964676857,
-0.02483549155294895,
0.004311418626457453,
0.01939779706299305,
0.03667216747999191,
-0.04097640886902809,
-0.017991743981838226,
-0.013601413927972317,
0.03667216747999191,
0.004085445776581764,
-0.010028890334069729,
-0.0012580949114635587,
0.04505109414458275,
0.0020032671745866537,
-0.05569692701101303,
-0.002822867128998041,
0.06588364392518997,
0.02870931290090084,
0.012869691476225853,
-0.020445162430405617,
-0.0399433933198452,
0.0008958209655247629,
0.027934549376368523,
-0.037475623190402985,
-0.04381721094250679,
-0.011513854376971722,
-0.08028851449489594,
-0.012224054895341396,
-0.03518002852797508,
-0.054491739720106125,
0.03744693100452423,
0.013041861355304718,
-0.004562499467283487,
0.0035994246136397123,
0.007948505692183971,
0.07058961689472198,
-0.0013890156988054514,
0.08189543336629868,
-0.015251373872160912,
-0.006330826785415411,
-0.0005631386884488165,
0.00455173896625638,
-0.03756171092391014,
-0.009081956930458546,
-0.019110847264528275,
0.03518002852797508,
-0.014820949174463749,
0.005333676468580961,
0.0064671277068555355,
0.04436241462826729,
-0.030158407986164093,
0.042956363409757614,
-0.02545243501663208,
-0.059857696294784546,
-0.03985730558633804,
0.022783802822232246,
-0.01923997513949871,
0.028336279094219208,
-0.005947031546384096,
0.013830972835421562,
-0.034405265003442764,
-0.005979313515126705,
-0.032138362526893616,
0.0016078148037195206,
0.020990367978811264,
-0.010143670253455639,
-0.041808564215898514,
0.025753730908036232,
-0.05147876590490341,
-0.004759777337312698,
-0.012762085534632206,
-0.01740349642932415,
0.009433469735085964,
0.025179831311106682,
0.020559942349791527,
-0.0031959018670022488,
0.061694175004959106,
0.040459901094436646,
-0.028336279094219208,
-0.0010706809116527438,
-0.03216705471277237,
-0.017202632501721382,
-0.0060797459445893764,
0.03159315511584282,
0.06909747421741486,
-0.001636509783565998,
0.037934742867946625,
-0.06645753979682922,
-0.004784885328263044,
-0.02978537417948246,
0.00987106841057539,
0.011241252534091473,
-0.03377397358417511,
-0.043444178998470306,
-0.005247591994702816,
0.007898288778960705,
-0.025251569226384163,
0.026241546496748924,
0.0019440839532762766,
0.00041428356780670583,
-0.00014246601494960487,
-0.04858057573437691,
-0.05899684876203537,
-0.01571049354970455,
-0.0468301847577095,
-0.0468301847577095,
0.02008647657930851,
-0.021994691342115402,
-0.015495281666517258,
0.02687283419072628,
-0.0359547920525074,
-0.01909649930894375,
-0.01609787531197071,
-0.008285671472549438,
0.025395045056939125,
0.011090603657066822,
-0.005900402087718248,
-0.012941429391503334,
-0.015538323670625687,
-0.032023582607507706,
0.04800667613744736,
0.03047405369579792,
-0.020029086619615555,
-0.03331485390663147,
0.010100627318024635,
0.010990171693265438,
0.02008647657930851,
-0.016054833307862282,
-0.022511200979351997,
-0.012683174572885036,
-0.013752061873674393,
-0.010638657957315445,
0.03159315511584282,
0.0002620657323859632,
-0.031220123171806335,
0.013630108907818794,
-0.04117727652192116,
0.02200903929769993,
0.014763559214770794,
0.011377553455531597,
0.0035958378575742245,
-0.03807821869850159,
-0.013170989230275154,
0.048781439661979675,
0.054376959800720215,
-0.02342943847179413,
0.03842255845665932,
0.007862420752644539,
-0.0006797119858674705,
-0.027504123747348785,
-0.03962774574756622,
0.007055374793708324,
-0.006954942364245653,
0.05110573396086693,
-0.01878085546195507,
-0.017260022461414337,
-0.04140683636069298,
0.041923344135284424,
0.056098658591508865,
0.02886713482439518,
-0.0009819058468565345,
-0.0020319621544331312,
0.01793435402214527,
0.009160867892205715,
0.027647599577903748,
-0.026385020464658737,
0.012676000595092773,
-0.03139229118824005,
0.008960003033280373,
-0.01130581647157669,
-0.020215602591633797,
0.029756678268313408,
0.001453579287044704,
0.04863796755671501,
0.022683370858430862,
-0.026542842388153076,
-0.017260022461414337,
0.012094927951693535,
0.04717452451586723,
-0.05294221267104149,
0.03058883361518383,
-0.0010482629295438528,
0.036471299827098846,
0.027461081743240356,
-0.001776397693902254,
-0.004246854688972235,
0.03320007398724556,
-0.0053265029564499855,
0.010430620051920414,
0.009914110414683819,
0.028465405106544495,
0.019067805260419846,
0.03153576701879501,
-0.052425701171159744,
-0.019756482914090157,
0.05133529379963875,
0.01744653843343258,
0.041492920368909836,
0.0371025912463665,
-0.06186634674668312,
-0.021492529660463333,
-0.0536021962761879,
0.024333329871296883,
-0.060775935649871826,
0.022511200979351997,
0.021377749741077423,
-0.005448456387966871,
-0.035438280552625656,
0.062727190554142,
-0.022138165310025215,
0.016399173066020012,
0.03320007398724556,
0.004899665247648954,
0.04413285478949547,
0.05606996268033981,
0.022898582741618156,
0.03629913181066513,
0.006904725916683674,
-0.04086162894964218,
-0.03581131622195244,
0.005688776727765799,
-0.026399368420243263,
0.033257465809583664,
0.01820695586502552,
-0.008744790218770504,
-0.02292727679014206,
0.01462725829333067,
0.021090799942612648,
-0.0008254286367446184,
-0.0159830953925848,
-0.03377397358417511,
0.08149369806051254,
-0.012360356748104095,
-0.024290287867188454,
0.026628928259015083,
-0.013716193847358227,
0.030215797945857048,
-0.010480836033821106,
-0.020602984353899956,
-0.03101925738155842,
-0.011047561652958393,
-0.04289897158741951,
0.037360843271017075,
-0.028881482779979706,
-0.018450861796736717,
-0.01203753799200058,
-0.0342043973505497,
-0.009619987569749355,
0.0011110331397503614,
0.008278497494757175,
-0.040775544941425323,
0.03945557773113251,
0.00623039435595274,
-0.015940053388476372,
0.03681563958525658,
-0.0627845823764801,
-0.057332541793584824,
0.03342963382601738,
0.05202397331595421,
0.009419122710824013,
0.018006090074777603,
0.03317137807607651,
0.06152200698852539,
-0.013673150911927223,
-0.025968942791223526,
-0.005584757775068283,
-0.0004429785185493529,
0.00645995419472456,
-0.022181207314133644,
-0.011528202332556248,
-0.016700468957424164,
-0.02595459669828415,
0.027532819658517838,
0.002252554753795266,
-0.015064856968820095,
0.008845223113894463,
-0.028221499174833298,
-0.021894259378314018,
-0.008802180178463459,
0.04350156709551811,
-0.022912930697202682,
-0.006732556037604809,
0.027389343827962875,
0.009454990737140179,
0.024749407544732094,
-0.03262617439031601,
0.2408081442117691,
0.03744693100452423,
0.013644455932080746,
0.04771972820162773,
0.04315722733736038,
0.054749995470047,
0.01710219867527485,
-0.03951296582818031,
-0.01793435402214527,
0.006025942508131266,
0.010014543309807777,
0.0054986728355288506,
0.013300116173923016,
0.0023422264494001865,
0.03957035765051842,
0.009426295757293701,
-0.009784983471035957,
0.005954205524176359,
-0.0156817976385355,
-0.014591390267014503,
-0.02882409282028675,
0.012202533893287182,
0.035667840391397476,
0.008730443194508553,
0.01955561898648739,
-0.021549919620156288,
0.015739187598228455,
-0.0013917058240622282,
-0.032568786293268204,
-0.05601257085800171,
-0.006298544816672802,
0.006592668127268553,
-0.0011442117393016815,
0.01218818686902523,
0.011140820570290089,
0.020559942349791527,
0.008859570138156414,
-0.04998663067817688,
-0.05064661428332329,
-0.016886986792087555,
-0.02579677291214466,
-0.024821145460009575,
0.01816391386091709,
-0.004508696496486664,
0.012439267709851265,
0.04106249660253525,
-0.005455630365759134,
0.003934796899557114,
0.00463064992800355,
-0.06370282173156738,
0.03744693100452423,
-0.045022401958703995,
-0.013364680111408234,
0.01992865279316902,
-0.03569653630256653,
-0.01740349642932415,
0.026700664311647415,
0.03331485390663147,
0.022052081301808357,
0.02281249687075615,
0.03363049775362015,
0.02322857454419136,
0.008945655077695847,
0.015452238731086254,
-0.022511200979351997,
0.016743512824177742,
-0.007998721674084663,
0.042640719562768936,
0.003104436444118619,
0.006381042767316103,
-0.015150941908359528,
-0.0439319908618927,
-0.0008581588044762611,
0.0021664698142558336,
0.045251961797475815,
0.016313087195158005,
-0.028838440775871277,
0.05793513357639313,
-0.03460612893104553,
-0.015437891706824303,
-0.022554242983460426,
-0.015050509013235569,
0.016284393146634102,
0.05320046469569206,
-0.0021539158187806606,
0.05822208523750305,
-0.024706365540623665,
-0.029613204300403595,
0.014117922633886337,
-0.01928301714360714,
-0.0000991433480521664,
0.04694496467709541,
-0.016815248876810074,
-0.05658647045493126,
0.003020144999027252
] |
1209_1 | Area can be defined through the use of axioms, defining it as a function of a collection of certain plane figures to the set of real numbers. It can be proved that such a function exists.
Formal definition
An approach to defining what is meant by "area" is through axioms. "Area" can be defined as a function from a collection M of a special kinds of plane figures (termed measurable sets) to the set of real numbers, which satisfies the following properties:
For all S in M, a(S) ≥ 0.
If S and T are in M then so are S ∪ T and S ∩ T, and also a(S∪T) = a(S) + a(T) − a(S∩T).
If S and T are in M with S ⊆ T then T − S is in M and a(T−S) = a(T) − a(S).
If a set S is in M and S is congruent to T then T is also in M and a(S) = a(T).
Every rectangle R is in M. If the rectangle has length h and breadth k then a(R) = hk.
Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i.e. S ⊆ Q ⊆ T. If there is a unique number c such that a(S) ≤ c ≤ a(T) for all such step regions S and T, then a(Q) = c.
It can be proved that such an area function actually exists.
Units
Every unit of length has a corresponding unit of area, namely the area of a square with the given side length. Thus areas can be measured in square metres (m2), square centimetres (cm2), square millimetres (mm2), square kilometres (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth. Algebraically, these units can be thought of as the squares of the corresponding length units.
The SI unit of area is the square metre, which is considered an SI derived unit.
Conversions | [
-0.02238386496901512,
0.008597873151302338,
0.03098173812031746,
-0.04235738515853882,
-0.017092864960432053,
0.014726613648235798,
0.050382066518068314,
-0.01114784087985754,
-0.009898576885461807,
0.06472655385732651,
0.037889428436756134,
0.03350966051220894,
-0.042181018739938736,
0.001164754619821906,
-0.00925189908593893,
0.019561998546123505,
-0.059876468032598495,
-0.0010232938220724463,
-0.06072890758514404,
0.014440017752349377,
0.01895941235125065,
0.0014283859636634588,
-0.06390351057052612,
-0.05626095458865166,
-0.0028971892315894365,
0.03468543663620949,
0.09694285690784454,
0.04215162247419357,
0.05114632099866867,
0.051116928458213806,
-0.027233947068452835,
0.004574509337544441,
0.012397103942930698,
-0.05437970906496048,
-0.03962370380759239,
-0.01229422353208065,
0.027880623936653137,
-0.047854144126176834,
-0.013447955250740051,
-0.052616044878959656,
0.029908839613199234,
0.013859476894140244,
0.028248054906725883,
0.00003344191281939857,
-0.013337725773453712,
0.014417971484363079,
-0.003147041890770197,
-0.04085826873779297,
-0.02151672914624214,
-0.031657807528972626,
-0.02727803774178028,
0.00025490488042123616,
0.02877715416252613,
-0.009854485280811787,
-0.004776596091687679,
-0.017739543691277504,
-0.003387708915397525,
0.004611252341419458,
-0.04323921725153923,
0.04135797545313835,
-0.005878887604922056,
-0.017445599660277367,
-0.01659316010773182,
-0.07936498522758484,
0.01771014928817749,
0.009920623153448105,
0.027763046324253082,
-0.03536150977015495,
0.031422652304172516,
-0.04800111800432205,
0.006158134900033474,
0.002485667122527957,
0.0015413708752021194,
-0.022810082882642746,
-0.03547908738255501,
0.039653096348047256,
0.0013999100774526596,
-0.01099351979792118,
-0.023647824302315712,
0.005845818668603897,
0.02554376609623432,
0.02830684371292591,
-0.008509689942002296,
0.04206344112753868,
-0.017416203394532204,
-0.010728970170021057,
-0.007738085929304361,
0.00944296270608902,
-0.009817741811275482,
-0.03880065679550171,
0.018400918692350388,
0.03668425977230072,
0.040593717247247696,
0.009553192183375359,
0.022016433998942375,
0.015681931748986244,
0.0049162195064127445,
0.019826548174023628,
0.024397382512688637,
-0.027160460129380226,
0.06566717475652695,
0.07054664939641953,
-0.043121639639139175,
0.052763015031814575,
-0.019076989963650703,
0.029467923566699028,
-0.039947040379047394,
-0.004640646744519472,
-0.020340951159596443,
-0.022016433998942375,
0.03527332469820976,
-0.021310966461896896,
0.015211621299386024,
-0.01597587764263153,
-0.008046727627515793,
0.027542587369680405,
-3.0140779472276336e-7,
0.008377415128052235,
-0.016857709735631943,
0.004056432284414768,
0.019488511607050896,
0.0003646747500170022,
0.03453846275806427,
0.05223391577601433,
-0.03762488067150116,
-0.0010857570450752974,
0.023530246689915657,
0.007370655424892902,
-0.017915910109877586,
-0.01722514070570469,
-0.016328610479831696,
-0.008465598337352276,
-0.03500877693295479,
0.018709558993577957,
0.04024098441004753,
-0.012360361404716969,
-0.028189266100525856,
0.0379188247025013,
0.009104927070438862,
-0.012808626517653465,
0.03092294931411743,
0.0014449203154072165,
-0.028953520581126213,
0.04767777770757675,
0.03392118215560913,
0.0036834904458373785,
0.021163994446396828,
0.004155638627707958,
-0.025558464229106903,
-0.031040526926517487,
-0.018518496304750443,
0.010486465878784657,
-0.019826548174023628,
0.009178413078188896,
-0.011449133045971394,
-0.040035225450992584,
-0.01801878958940506,
0.013528790324926376,
-0.05778946354985237,
-0.007532324641942978,
-0.006139763165265322,
-0.03509695827960968,
0.0018922669114544988,
0.01394766103476286,
-0.01518222689628601,
0.029761867597699165,
-0.06884177029132843,
0.008303928188979626,
-0.013264239765703678,
-0.009310687892138958,
0.01316135935485363,
-0.02229568175971508,
-0.024647235870361328,
-0.044708941131830215,
0.04529682919383049,
0.07142848521471024,
0.03436209633946419,
-0.020414436236023903,
-0.0259258933365345,
0.006782766431570053,
-0.006128740031272173,
-0.031187498942017555,
0.010927381925284863,
0.035684846341609955,
-0.024470869451761246,
-0.025896498933434486,
-0.030952343717217445,
-0.0011289301328361034,
0.02899761311709881,
-0.02070838212966919,
0.05649610981345177,
0.00917106494307518,
-0.005467365495860577,
0.03004111535847187,
-0.0023644149769097567,
-0.0020392390433698893,
-0.042651329189538956,
0.031422652304172516,
-0.06396229565143585,
-0.044473785907030106,
-0.031804781407117844,
-0.021869461983442307,
0.009354779496788979,
-0.031275682151317596,
-0.057436730712652206,
0.003971923608332872,
0.02072307839989662,
0.04085826873779297,
-0.008641964755952358,
-0.004420188721269369,
-0.010427677072584629,
-0.00031805699109099805,
0.004423862788826227,
0.028468511998653412,
0.019312145188450813,
0.004872127901762724,
-0.002057610545307398,
0.029761867597699165,
-0.012536727823317051,
0.03794821724295616,
0.002814517356455326,
0.04006461799144745,
-0.017960000783205032,
0.046208057552576065,
0.022251589223742485,
-0.004666367080062628,
0.031040526926517487,
0.0687829852104187,
0.04647260531783104,
0.05464426055550575,
-0.011897399090230465,
0.04294527322053909,
0.008605221286416054,
-0.0028806549962610006,
0.036566682159900665,
0.004317307844758034,
-0.030717186629772186,
0.03115810453891754,
0.012220737524330616,
0.0037845338229089975,
0.024867694824934006,
0.03997643664479256,
0.053233325481414795,
-0.012999690137803555,
0.0161228496581316,
0.025984682142734528,
0.003817602526396513,
0.02679302915930748,
0.015990573912858963,
0.05273362249135971,
-0.04303345829248428,
0.016313912346959114,
0.02796880714595318,
-0.01572602428495884,
-0.025338005274534225,
-0.03871247544884682,
0.017754239961504936,
0.04056432470679283,
-0.023030541837215424,
-0.06166952848434448,
0.02164900302886963,
-0.010229264385998249,
0.05764249339699745,
0.020370345562696457,
0.0029743497725576162,
0.02774835005402565,
0.04947083815932274,
-0.04038795828819275,
-0.051851786673069,
0.0043650739826262,
-0.06196347624063492,
-0.029908839613199234,
-0.08224563300609589,
-0.0144620630890131,
0.00018141879991162568,
0.00385434553027153,
-0.02751319296658039,
-0.025117546319961548,
0.04223980754613876,
-0.005720892455428839,
-0.0542033426463604,
-0.012397103942930698,
-0.046443212777376175,
0.015196924097836018,
-0.009634027257561684,
0.02038504183292389,
0.021707791835069656,
0.016887104138731956,
0.025235123932361603,
0.01103026233613491,
-0.010765712708234787,
-0.009119624271988869,
0.027792440727353096,
-0.023295091465115547,
0.028571393340826035,
-0.0019326843321323395,
0.028806548565626144,
0.020443830639123917,
0.013036432676017284,
-0.051734209060668945,
-0.07660190761089325,
-0.019870640709996223,
-0.02688121236860752,
0.041475553065538406,
-0.0034152662847191095,
0.030540820211172104,
-0.016255123540759087,
-0.011125794611871243,
0.004750875756144524,
-0.0012694722972810268,
-0.022413259372115135,
-0.01588769443333149,
0.019003503024578094,
-0.0008501422707922757,
-0.04118160530924797,
0.014616384170949459,
0.031981147825717926,
-0.0033748489804565907,
-0.010332144796848297,
-0.04294527322053909,
0.0018996155122295022,
-0.010332144796848297,
0.007359632290899754,
-0.011155189014971256,
0.0029376065358519554,
0.028644880279898643,
0.004137266892939806,
-0.06360956281423569,
-0.007444141432642937,
-0.027557285502552986,
-0.00011011432070517913,
-0.0031360189896076918,
-0.013345074839890003,
0.019900035113096237,
-0.0092151565477252,
-0.019723666831851006,
0.01572602428495884,
0.0005938594695180655,
0.025881802663207054,
-0.021090509369969368,
0.050940562039613724,
-0.06325682997703552,
0.03209872543811798,
0.002573850331827998,
0.018298037350177765,
0.02670484595000744,
-0.037889428436756134,
0.008421506732702255,
-0.04235738515853882,
0.012066416442394257,
-0.011566711589694023,
0.03571424260735512,
0.0021457939874380827,
0.041945863515138626,
0.022104617208242416,
0.023750705644488335,
-0.03730154037475586,
0.025969985872507095,
-0.03312753140926361,
0.033950574696063995,
0.04273951053619385,
0.014337137341499329,
-0.016666647046804428,
-0.03295116499066353,
-0.06125800684094429,
-0.024764813482761383,
-0.024955878034234047,
0.008370066061615944,
0.024764813482761383,
-0.0867723822593689,
0.010354191064834595,
0.007315540686249733,
-0.0010122709209099412,
0.005757635459303856,
0.017328020185232162,
-0.00022631420870311558,
0.03668425977230072,
0.029585501179099083,
0.020752472802996635,
-0.05699581280350685,
0.00809816736727953,
-0.0037386049516499043,
-0.03906520828604698,
0.02103172056376934,
0.0352439321577549,
0.017136957496404648,
-0.026587268337607384,
-0.009589935652911663,
-0.0007647146703675389,
-0.02820396237075329,
-0.04647260531783104,
-0.011441784910857677,
-0.02117869257926941,
0.005059517454355955,
-0.03874186798930168,
0.0006168239051476121,
0.015505566261708736,
0.029438529163599014,
0.062257420271635056,
-0.04614926874637604,
0.005559223238378763,
0.049764782190322876,
0.015755418688058853,
0.04165191948413849,
-0.03336268663406372,
0.002496690023690462,
-0.013763945549726486,
0.05905342474579811,
0.0036173530388623476,
-0.0021641654893755913,
-0.016181638464331627,
-0.022178102284669876,
-0.018518496304750443,
-0.03827155753970146,
0.027248643338680267,
0.06625506281852722,
-0.0461786612868309,
-0.02426510863006115,
-0.030864158645272255,
0.01659316010773182,
-0.01691649854183197,
-0.04065250605344772,
0.0211052056401968,
-0.007073036395013332,
0.026587268337607384,
-0.06407987326383591,
-0.05058782547712326,
-0.03312753140926361,
0.04497348889708519,
0.024559052661061287,
-0.014337137341499329,
-0.02505875751376152,
-0.031745992600917816,
0.018121670931577682,
-0.0415637344121933,
-0.003525495296344161,
-0.00015145025099627674,
-0.02704288251698017,
-0.009766302071511745,
-0.036713652312755585,
-0.036478497087955475,
0.011809214949607849,
0.021766580641269684,
-0.012264829128980637,
-0.04179888963699341,
0.004934591241180897,
0.00999410916119814,
0.06296288222074509,
-0.019429722800850868,
0.019415026530623436,
-0.004927242640405893,
-0.039564911276102066,
0.0232510007917881,
-0.012117857113480568,
-0.021722489967942238,
-0.020693683996796608,
-0.0008988268091343343,
-0.04141676425933838,
0.03935915231704712,
-0.005757635459303856,
-0.002360740676522255,
-0.00628673518076539,
-0.02125217765569687,
0.0014063401613384485,
0.013616973534226418,
0.01513813529163599,
-0.03903581202030182,
0.009288642555475235,
0.0415637344121933,
-0.021163994446396828,
0.012646956369280815,
-0.002788797253742814,
-0.030540820211172104,
-0.01031744759529829,
0.022898266091942787,
-0.054497286677360535,
-0.05770128220319748,
-0.0015027906047180295,
-0.03445028141140938,
-0.052057549357414246,
0.009788347408175468,
-0.011471179313957691,
0.013323028571903706,
-0.020737776532769203,
-0.026028774678707123,
0.005739263724535704,
-0.019385632127523422,
0.03559666499495506,
-0.02166370116174221,
0.05108753219246864,
-0.021222783252596855,
-0.012830671854317188,
0.02860078774392605,
-0.03753669559955597,
0.012257480062544346,
-0.014733961783349514,
0.005357136484235525,
-0.02164900302886963,
0.005621686112135649,
-0.018224552273750305,
0.017092864960432053,
0.04938265681266785,
0.007348609622567892,
-0.025235123932361603,
-0.023589035496115685,
0.01181656401604414,
-0.019650181755423546,
0.014631081372499466,
0.008847725577652454,
0.015872996300458908,
0.004519394598901272,
0.01944442093372345,
-0.025558464229106903,
-0.015711326152086258,
0.031040526926517487,
0.042092833667993546,
0.0325690358877182,
0.032833587378263474,
-0.031892966479063034,
0.03574363514780998,
0.0037845338229089975,
-0.046913523226976395,
-0.017092864960432053,
0.04006461799144745,
-0.004850082099437714,
0.0073265633545815945,
-0.03251024708151817,
0.0039094602689146996,
-0.003935180138796568,
-0.06325682997703552,
0.004515720531344414,
-0.03503816947340965,
-0.04591410979628563,
-0.05640792474150658,
-0.03859489783644676,
0.03168720379471779,
0.0355672687292099,
0.008590524084866047,
-0.025264518335461617,
-0.023515550419688225,
-0.023574339225888252,
0.039241574704647064,
-0.024852996692061424,
-0.0005598721909336746,
-0.056319743394851685,
0.024015255272388458,
0.03274540230631828,
-0.004754550289362669,
-0.052057549357414246,
-0.017960000783205032,
0.01793060638010502,
0.0017609104979783297,
0.027454404160380363,
-0.018048183992505074,
-0.004783944692462683,
-0.06654901057481766,
-0.018797742202878,
-0.014528200961649418,
0.010251309722661972,
0.057495519518852234,
0.006959133315831423,
0.03627273440361023,
-0.030864158645272255,
0.00039108379860408604,
0.027233947068452835,
-0.009582586586475372,
-0.011559362523257732,
-0.03248085454106331,
0.036390312016010284,
0.030952343717217445,
-0.04629623889923096,
-0.004148290026932955,
0.0016075082821771502,
-0.008399460464715958,
0.0020392390433698893,
-0.06284530460834503,
-0.024838300421833992,
-0.023736007511615753,
-0.04741322621703148,
0.02901230938732624,
-0.0008170735090970993,
0.011794517748057842,
-0.04582592844963074,
-0.04432681202888489,
0.04941204935312271,
0.022075222805142403,
-0.023603733628988266,
0.0687829852104187,
0.055290937423706055,
0.029938234016299248,
0.013646367937326431,
0.007047316525131464,
-0.025044061243534088,
-0.03262782469391823,
0.023412669077515602,
0.010104337707161903,
-0.042327988892793655,
0.012793929316103458,
-0.031275682151317596,
-0.08453840017318726,
-0.005177095532417297,
0.010964125394821167,
-0.02151672914624214,
-0.013242194429039955,
0.012419150210916996,
-0.041152212768793106,
-0.026381507515907288,
-0.0011114771477878094,
0.01240445300936699,
0.03630213066935539,
0.0035438667982816696,
0.014792750589549541,
0.023691916838288307,
-0.011897399090230465,
0.012940901331603527,
0.029056401923298836,
-0.034744225442409515,
0.014366531744599342,
0.02379479818046093,
0.012044371105730534,
-0.027131065726280212,
0.04562016576528549,
0.014836842194199562,
-0.04397407919168472,
-0.015049952082335949,
0.0192827507853508,
-0.01959139294922352,
0.04570835083723068,
-0.03397997096180916,
0.004170335829257965,
0.027248643338680267,
-0.005368159152567387,
0.04309224709868431,
0.014447365887463093,
0.024382686242461205,
0.0008345264359377325,
0.013771293684840202,
0.017739543691277504,
-0.005077889189124107,
-0.004254844971001148,
0.05049964413046837,
-0.01787181757390499,
-0.012735140509903431,
-0.007870360277593136,
-0.016034666448831558,
0.006507193669676781,
0.014572292566299438,
0.030482031404972076,
-0.016975287348031998,
-0.017195746302604675,
-0.001166591770015657,
0.02070838212966919,
0.008803633973002434,
-0.017181048169732094,
0.01248528715223074,
0.07225152850151062,
0.00999410916119814,
-0.05202815309166908,
0.010868593119084835,
0.04112281650304794,
0.01359492726624012,
-0.013521441258490086,
-0.01201497670263052,
-0.029600199311971664,
0.021090509369969368,
0.03295116499066353,
-0.03012929856777191,
-0.04708988964557648,
0.008715450763702393,
-0.049294471740722656,
-0.023118725046515465,
-0.059171002358198166,
-0.01857728511095047,
0.0572015754878521,
0.0325690358877182,
-0.015042603015899658,
-0.025793619453907013,
-0.020252767950296402,
0.04047613963484764,
-0.00037592730950564146,
0.05364484712481499,
-0.0385655015707016,
-0.015226318500936031,
0.02054671198129654,
-0.026675451546907425,
-0.018239248543977737,
0.0007224601577036083,
-0.03042324259877205,
0.04500288516283035,
-0.0197677593678236,
0.006881972774863243,
-0.016005272045731544,
0.04417983815073967,
-0.008943257853388786,
0.037036992609500885,
-0.005761309992522001,
-0.061140429228544235,
-0.025088151916861534,
0.03171660006046295,
-0.01888592541217804,
0.015637841075658798,
-0.00697383051738143,
0.025749526917934418,
-0.032069332897663116,
-0.0010444211075082421,
-0.026308022439479828,
0.02522042766213417,
0.020370345562696457,
0.016740132123231888,
-0.01706347055733204,
-0.0009635863825678825,
-0.04926507920026779,
0.006904018577188253,
-0.01055995188653469,
-0.04112281650304794,
-0.002662033773958683,
0.01557905226945877,
0.030452637001872063,
-0.010684877634048462,
0.029438529163599014,
0.041387367993593216,
-0.013146662153303623,
-0.0037183964159339666,
-0.026352113112807274,
-0.024132832884788513,
-0.0022394887637346983,
0.022501442581415176,
0.02686651609838009,
0.005647406447678804,
-0.011360949836671352,
-0.05026448890566826,
-0.0021990714594721794,
-0.02126687578856945,
-0.0017517247470095754,
0.003949877340346575,
-0.029908839613199234,
-0.0349205918610096,
-0.004420188721269369,
0.02720455266535282,
0.013800688087940216,
0.013146662153303623,
0.024456171318888664,
0.03445028141140938,
-0.011250721290707588,
-0.04303345829248428,
-0.03862429037690163,
-0.004471628926694393,
-0.060670118778944016,
-0.04112281650304794,
0.04526743292808533,
-0.02014988660812378,
-0.023456761613488197,
0.042886484414339066,
-0.035214535892009735,
0.0072751231491565704,
-0.025808315724134445,
-0.03168720379471779,
0.03327450528740883,
0.028571393340826035,
-0.005268952809274197,
-0.004416514188051224,
-0.03345087170600891,
-0.08542023599147797,
0.019473815336823463,
0.04503227770328522,
-0.015035254880785942,
-0.03439149260520935,
0.016343306750059128,
0.036155156791210175,
0.03480301424860954,
-0.025911197066307068,
-0.031892966479063034,
-0.025896498933434486,
-0.012955598533153534,
-0.0019216613145545125,
0.05082298442721367,
-0.006165483500808477,
-0.02696939744055271,
-0.015696629881858826,
-0.07037028670310974,
0.016064060851931572,
0.0287624578922987,
0.008311277255415916,
0.013712504878640175,
-0.029232768341898918,
-0.026205141097307205,
0.06590232998132706,
0.039329756051301956,
-0.03536150977015495,
0.04021159186959267,
0.013367120176553726,
0.005911956075578928,
-0.004780270624905825,
-0.04021159186959267,
0.014013797976076603,
0.028586091473698616,
0.04400347173213959,
-0.03115810453891754,
-0.0379188247025013,
-0.04609047994017601,
0.011728380806744099,
0.05620216578245163,
0.017416203394532204,
0.007227357476949692,
-0.019268054515123367,
0.009847136214375496,
-0.010743667371571064,
0.01778363436460495,
0.00023504067212343216,
-0.00535346195101738,
-0.053233325481414795,
-0.004681064281612635,
-0.010567300021648407,
-0.046119872480630875,
0.020179281011223793,
0.023104028776288033,
0.05867129936814308,
0.05067601054906845,
-0.033480264246463776,
-0.016887104138731956,
0.029365044087171555,
0.019385632127523422,
-0.056937023997306824,
0.006058928556740284,
-0.007491907104849815,
0.057348549365997314,
0.03365663066506386,
0.006213249173015356,
0.013433258049190044,
0.010435025207698345,
0.02774835005402565,
-0.00945031177252531,
0.00385434553027153,
0.02560255490243435,
0.02915928140282631,
0.013918266631662846,
-0.06937087327241898,
-0.01185330655425787,
0.025808315724134445,
-0.005268952809274197,
0.03209872543811798,
0.044385600835084915,
-0.07507339119911194,
-0.0019492186838760972,
-0.051499053835868835,
0.043680135160684586,
-0.048559609800577164,
0.02529391273856163,
0.01848910190165043,
-0.026822423562407494,
-0.036801837384700775,
0.07495581358671188,
0.021002326160669327,
-0.00438711978495121,
0.03927096724510193,
0.008980000391602516,
0.05873008817434311,
0.04750141128897667,
0.030099904164671898,
0.016475582495331764,
0.023927072063088417,
-0.008392112329602242,
-0.028894731774926186,
-0.01070692390203476,
-0.03783063963055611,
0.0075249760411679745,
0.055055782198905945,
0.013903569430112839,
0.004960311576724052,
0.0561433769762516,
0.015696629881858826,
-0.0009144425857812166,
-0.03136386349797249,
-0.047383833676576614,
0.06801872700452805,
-0.013741899281740189,
-0.009700164198875427,
-0.007264100480824709,
0.024456171318888664,
0.019459117203950882,
-0.011052308604121208,
-0.032363276928663254,
-0.04647260531783104,
-0.024044649675488472,
-0.03835974261164665,
0.049206290394067764,
-0.01509404368698597,
-0.031275682151317596,
-0.023603733628988266,
0.0016405771020799875,
-0.000951644906308502,
-0.015152832493185997,
-0.011963536031544209,
-0.004761898890137672,
0.009391522966325283,
0.031246287748217583,
0.00191614986397326,
0.02332448586821556,
-0.05593761429190636,
-0.04838324338197708,
0.02718985453248024,
0.03298055753111839,
-0.010912684723734856,
0.04144615679979324,
0.07854193449020386,
0.036948807537555695,
-0.005867864470928907,
-0.013661065138876438,
0.002105376683175564,
-0.004431211389601231,
0.03036445379257202,
-0.013154011219739914,
-0.025396794080734253,
0.002599570667371154,
-0.027380919083952904,
0.01099351979792118,
-0.004872127901762724,
-0.026528479531407356,
0.002889840630814433,
-0.02552906982600689,
-0.030864158645272255,
-0.016887104138731956,
0.042092833667993546,
-0.035537876188755035,
-0.0016920173075050116,
0.0021476310212165117,
0.012889460660517216,
0.032069332897663116,
-0.05176360532641411,
0.25490856170654297,
0.023971164599061012,
0.0012364034773781896,
0.05076419562101364,
0.055290937423706055,
0.08759542554616928,
0.006334501318633556,
-0.05191057547926903,
-0.0030110927764326334,
-0.03862429037690163,
0.009244550950825214,
-0.01953260414302349,
0.008561129681766033,
-0.007385352626442909,
0.032539643347263336,
0.011698986403644085,
-0.013389166444540024,
0.0021604911889880896,
0.008208396844565868,
-0.01960608921945095,
-0.042563144117593765,
-0.012661653570830822,
0.04229859635233879,
0.026102259755134583,
-0.003080904483795166,
-0.011052308604121208,
0.00735228369012475,
-0.009567889384925365,
-0.019473815336823463,
-0.0807759165763855,
-0.029982326552271843,
0.004247496370226145,
0.008957955054938793,
0.0035273325629532337,
0.009097578004002571,
0.05464426055550575,
0.016901802271604538,
-0.04029977321624756,
-0.029997022822499275,
-0.014124027453362942,
-0.024235714226961136,
0.005717217922210693,
0.023662522435188293,
-0.018930017948150635,
-0.007818920537829399,
0.05264543741941452,
-0.01596117950975895,
-0.006257340777665377,
0.0022376514971256256,
-0.0485302172601223,
0.06507928669452667,
-0.013183405622839928,
-0.011022914201021194,
0.026425600051879883,
-0.038859445601701736,
0.012661653570830822,
0.008913863450288773,
0.014278348535299301,
0.03991764783859253,
0.04459136351943016,
0.001510139205493033,
0.032039936631917953,
-0.0014210373628884554,
0.012117857113480568,
-0.030805369839072227,
0.02007640153169632,
0.01895941235125065,
0.03148144111037254,
0.0027428683824837208,
-0.0005442563560791314,
-0.005184444133192301,
-0.04332740232348442,
-0.01992942951619625,
0.0030827417504042387,
0.015990573912858963,
0.027175158262252808,
-0.04491470009088516,
0.047236859798431396,
0.01398440357297659,
-0.013624321669340134,
-0.008487643674015999,
-0.034185729920864105,
0.029982326552271843,
0.022707203403115273,
0.0365372858941555,
0.07507339119911194,
-0.028101082891225815,
-0.023133423179388046,
0.031510837376117706,
0.0032517595682293177,
0.012536727823317051,
0.05511457100510597,
-0.01498381420969963,
-0.08007045090198517,
0.009149018675088882
] |
1209_2 | Conversions
Calculation of the area of a square whose length and width are 1 metre would be:
1 metre × 1 metre = 1 m2
and so, a rectangle with different sides (say length of 3 metres and width of 2 metres) would have an area in square units that can be calculated as:
3 metres × 2 metres = 6 m2. This is equivalent to 6 million square millimetres. Other useful conversions are:
1 square kilometre = 1,000,000 square metres
1 square metre = 10,000 square centimetres = 1,000,000 square millimetres
1 square centimetre = 100 square millimetres.
Non-metric units
In non-metric units, the conversion between two square units is the square of the conversion between the corresponding length units.
1 foot = 12 inches,
the relationship between square feet and square inches is
1 square foot = 144 square inches,
where 144 = 122 = 12 × 12. Similarly:
1 square yard = 9 square feet
1 square mile = 3,097,600 square yards = 27,878,400 square feet
In addition, conversion factors include:
1 square inch = 6.4516 square centimetres
1 square foot = square metres
1 square yard = square metres
1 square mile = square kilometres
Other units including historical
There are several other common units for area. The are was the original unit of area in the metric system, with:
1 are = 100 square metres
Though the are has fallen out of use, the hectare is still commonly used to measure land:
1 hectare = 100 ares = 10,000 square metres = 0.01 square kilometres
Other uncommon metric units of area include the tetrad, the hectad, and the myriad.
The acre is also commonly used to measure land areas, where
1 acre = 4,840 square yards = 43,560 square feet.
An acre is approximately 40% of a hectare.
On the atomic scale, area is measured in units of barns, such that:
1 barn = 10−28 square meters.
The barn is commonly used in describing the cross-sectional area of interaction in nuclear physics.
In India,
20 dhurki = 1 dhur
20 dhur = 1 khatha
20 khata = 1 bigha
32 khata = 1 acre
History
Circle area | [
0.00009279677033191547,
0.03990446403622627,
-0.011515725404024124,
-0.059132169932127,
-0.05634554848074913,
0.007175557781010866,
0.06972134113311768,
-0.014107285998761654,
0.003528563305735588,
0.05840764939785004,
0.04756768047809601,
0.02605493925511837,
-0.013515128754079342,
-0.00697352783754468,
-0.023672373965382576,
0.02757364884018898,
-0.03265924006700516,
-0.01999402977526188,
-0.0308757983148098,
0.034136150032281876,
0.025623012334108353,
-0.009488455951213837,
-0.08794587105512619,
-0.039792995899915695,
0.01632962003350258,
0.0355851948261261,
0.06582006812095642,
0.000995347392745316,
0.04965764656662941,
0.05085589736700058,
-0.026124604046344757,
-0.017695065587759018,
-0.001809564302675426,
-0.05573248863220215,
-0.03572452440857887,
-0.011731688864529133,
0.013145901262760162,
-0.06910828500986099,
0.0033125998452305794,
-0.04380573704838753,
0.026821261271834373,
-0.030179142951965332,
0.041827231645584106,
-0.0238117054104805,
0.0006835937965661287,
0.022000400349497795,
-0.010178145952522755,
-0.024104300886392593,
0.014434714801609516,
-0.018823647871613503,
-0.006343054119497538,
-0.009084396064281464,
0.01972930133342743,
-0.010895702056586742,
-0.013738058507442474,
-0.03678344190120697,
-0.03176751732826233,
0.005876294337213039,
-0.04121417552232742,
0.03703423961997032,
0.012261147610843182,
-0.010017914697527885,
-0.0053781853057444096,
-0.04845939949154854,
0.03982086479663849,
0.0475955456495285,
-0.00013367089559324086,
-0.01375895831733942,
0.049211788922548294,
-0.06771497428417206,
0.03447054326534271,
-0.012588576413691044,
-0.023115050047636032,
-0.03029060736298561,
0.001714644837193191,
0.03867834806442261,
0.02087181806564331,
0.005179638043045998,
-0.049267519265413284,
0.02213973179459572,
0.02673766203224659,
0.05617835000157356,
-0.008610669523477554,
0.004350617527961731,
-0.021777469664812088,
-0.024633759632706642,
0.032101914286613464,
-0.008708201348781586,
0.012031251564621925,
-0.019130177795886993,
-0.015242835506796837,
0.04726115241646767,
0.025093553587794304,
0.031739652156829834,
0.03887341171503067,
-0.005907644052058458,
0.009565088897943497,
0.06164013221859932,
0.030179142951965332,
0.014239651151001453,
0.03477707505226135,
0.07941880077123642,
0.015981290489435196,
0.035445861518383026,
-0.02213973179459572,
0.024452630430459976,
-0.039848729968070984,
-0.002777916146442294,
0.005301552824676037,
-0.020816083997488022,
0.026403266936540604,
-0.040628984570503235,
0.003775876248255372,
0.009021696634590626,
0.02767118066549301,
0.048013538122177124,
-0.034526277333498,
0.028646498918533325,
-0.009049562737345695,
0.016413217410445213,
0.0007772069657221437,
-0.017444269731640816,
0.03034633956849575,
0.012295980006456375,
-0.03491640463471413,
-0.000568645540624857,
0.0024470046628266573,
0.05659634247422218,
-0.022306928411126137,
-0.028242439031600952,
0.01321556605398655,
-0.039263539016246796,
-0.05149681866168976,
-0.011411227285861969,
0.024313298985362053,
-0.03904061019420624,
0.0019436705624684691,
0.030569270253181458,
0.0012626892421394587,
-0.0009639979107305408,
0.01062400545924902,
0.024104300886392593,
-0.0064858682453632355,
0.06972134113311768,
0.0022292996291071177,
0.009397891350090504,
0.0020621020812541246,
-0.011090765707194805,
-0.03185111656785011,
-0.04071258381009102,
0.01085390243679285,
0.014462580904364586,
-0.044920384883880615,
0.037703029811382294,
0.03274283930659294,
-0.018976911902427673,
-0.01478304248303175,
0.018586784601211548,
-0.035919588059186935,
-0.009119228459894657,
0.004820860456675291,
0.011557525023818016,
0.00031175362528301775,
0.0036504780873656273,
-0.032575640827417374,
0.046035036444664,
-0.0397651307284832,
0.01394705567508936,
-0.029789015650749207,
-0.023686308413743973,
0.03338376060128212,
-0.011703822761774063,
-0.025441881269216537,
-0.022571658715605736,
0.016914810985326767,
0.05408838018774986,
0.034526277333498,
-0.0017555734375491738,
-0.01216361578553915,
0.02297571860253811,
-0.009948248974978924,
-0.02772691287100315,
0.046230100095272064,
0.04455812647938728,
-0.021359477192163467,
0.01072850450873375,
-0.046230100095272064,
-0.018767915666103363,
0.0251214187592268,
-0.002337281359359622,
0.029287423938512802,
0.04166003689169884,
-0.012463177554309368,
0.0027500500436872244,
-0.004023189190775156,
-0.046174366027116776,
-0.012059117667376995,
0.02622213587164879,
-0.03547373041510582,
-0.07295382767915726,
-0.05333599075675011,
0.004792993888258934,
-0.0004018835024908185,
0.03527866676449776,
-0.014950240030884743,
-0.010721537284553051,
0.03982086479663849,
0.03739650174975395,
-0.015340367332100868,
-0.0015657346230000257,
-0.003282991936430335,
-0.016733679920434952,
-0.03034633956849575,
0.022738855332136154,
0.030569270253181458,
0.0381767563521862,
-0.020704619586467743,
0.0256369449198246,
-0.04316481202840805,
0.024160034954547882,
0.01874004863202572,
0.01868431642651558,
0.004427249543368816,
0.03787022829055786,
0.002875448204576969,
-0.01637141965329647,
0.002035977551713586,
0.0350557342171669,
0.0308757983148098,
0.057794589549303055,
-0.041938699781894684,
0.04046178609132767,
0.04168790206313133,
0.0037271103356033564,
0.04595143720507622,
0.012922970578074455,
-0.004552647937089205,
0.043666403740644455,
0.01532643474638462,
0.03488853946328163,
0.04464172571897507,
0.051246024668216705,
0.028437502682209015,
-0.009774085134267807,
0.00424960209056735,
0.048849526792764664,
0.015396100468933582,
0.02271099016070366,
0.0076074847020208836,
0.043136946856975555,
-0.022362660616636276,
-0.010951434262096882,
0.027336785569787025,
0.004921875428408384,
-0.03527866676449776,
-0.018489252775907516,
0.017722930759191513,
0.04876592755317688,
-0.02867436595261097,
-0.06141720339655876,
0.008436505682766438,
-0.010610072873532772,
0.04453025758266449,
0.012755773030221462,
0.013668392784893513,
0.026347534731030464,
0.013954021967947483,
0.002969496650621295,
-0.002541053108870983,
0.017764730378985405,
-0.0779697522521019,
0.011230096220970154,
-0.06693471968173981,
-0.0397651307284832,
-0.06403663009405136,
-0.005879777483642101,
0.0030983781907707453,
-0.024452630430459976,
0.03617038577795029,
0.013772891834378242,
-0.027113856747746468,
-0.041102711111307144,
-0.01836385577917099,
0.03134952485561371,
0.007907046936452389,
0.052026279270648956,
0.014365049079060555,
0.04703821986913681,
-0.009383957833051682,
0.031070861965417862,
-0.0026734177954494953,
-0.004890525713562965,
-0.008359873667359352,
-0.030123410746455193,
0.01862858422100544,
0.016831211745738983,
-0.0020708104129880667,
0.02427149936556816,
-0.006430136039853096,
-0.06693471968173981,
-0.05824045091867447,
-0.005935510154813528,
-0.021011147648096085,
-0.018558919429779053,
0.009397891350090504,
-0.006210689432919025,
-0.004197353031486273,
-0.03224124386906624,
0.03589172288775444,
0.017667198553681374,
-0.008958997204899788,
-0.027963776141405106,
0.03146098926663399,
0.0251214187592268,
-0.05132962390780449,
0.04335987567901611,
0.04845939949154854,
0.00965565349906683,
-0.01705414243042469,
-0.05829618498682976,
-0.005956409964710474,
-0.026667995378375053,
-0.017458202317357063,
-0.010401075705885887,
0.005837978329509497,
0.05734873190522194,
-0.017193472012877464,
-0.0606926791369915,
-0.009871616959571838,
-0.008805733174085617,
-0.059466566890478134,
-0.02468949183821678,
-0.017068075016140938,
0.05528663098812103,
0.03034633956849575,
-0.0030304540414363146,
0.02223726361989975,
-0.022585591301321983,
-0.02187500149011612,
-0.04205016419291496,
0.0434156097471714,
-0.05121815949678421,
0.028953028842806816,
0.04218949377536774,
0.03076433390378952,
0.008136942982673645,
-0.011362461373209953,
-0.005325935781002045,
-0.04252389073371887,
-0.0018600717885419726,
-0.007753782439976931,
0.0003119713219348341,
0.003406648291274905,
0.030931532382965088,
-0.00771894957870245,
0.018085192888975143,
-0.009209793992340565,
0.01763933338224888,
-0.02092755027115345,
0.010944467969238758,
0.07156051695346832,
0.025260750204324722,
-0.01148089300841093,
-0.03583598881959915,
-0.047902073711156845,
-0.003963973373174667,
-0.0004754677938763052,
-0.04012739285826683,
-0.01617635414004326,
-0.0565127432346344,
0.0037410433869808912,
0.008297174237668514,
-0.0008185709593817592,
0.03363455832004547,
0.002431329805403948,
0.022488059476017952,
0.05868631228804588,
0.03625398501753807,
0.019116243347525597,
-0.07189491391181946,
0.03906847536563873,
-0.02280852198600769,
-0.03945860266685486,
0.023212581872940063,
0.045394111424684525,
-0.010923568159341812,
-0.025441881269216537,
-0.04923965409398079,
0.014323249459266663,
-0.01185012049973011,
-0.0455055758357048,
-0.015173169784247875,
-0.0045700641348958015,
-0.002495770575478673,
-0.02358877658843994,
0.0076492843218147755,
0.016343552619218826,
-0.003272542031481862,
0.02202826552093029,
-0.028284238651394844,
0.03076433390378952,
0.05199841409921646,
0.05272293463349342,
0.05096736177802086,
0.005050756968557835,
0.017458202317357063,
0.022153664380311966,
0.053140927106142044,
-0.020314492285251617,
-0.02360270917415619,
-0.04121417552232742,
-0.0575716607272625,
-0.0046014138497412205,
-0.019213775172829628,
0.04065684974193573,
0.04419586434960365,
-0.04174363613128662,
-0.0450039841234684,
0.017360670492053032,
-0.0016658789245411754,
0.0324363075196743,
-0.030513538047671318,
0.015479698777198792,
-0.013668392784893513,
0.01758360117673874,
-0.007927946746349335,
0.011557525023818016,
-0.07451433688402176,
0.0154378991574049,
0.010756370611488819,
-0.008171776309609413,
-0.0056881969794631,
-0.040573250502347946,
0.030374206602573395,
0.01758360117673874,
-0.0038734080735594034,
0.0034710890613496304,
0.01783439703285694,
-0.027336785569787025,
-0.045394111424684525,
-0.01457404624670744,
0.005197054706513882,
-0.009815884754061699,
-0.02903662621974945,
-0.014197851531207561,
0.032882168889045715,
0.025497613474726677,
0.04531051218509674,
-0.01946457102894783,
0.029231689870357513,
0.02411823533475399,
-0.04809713736176491,
-0.016664015129208565,
-0.01722133904695511,
0.009516322985291481,
-0.01741640269756317,
-0.01800159364938736,
-0.023714173585176468,
0.029733283445239067,
-0.0012783639831468463,
-0.023978903889656067,
-0.012330813333392143,
-0.022822454571723938,
-0.024982089176774025,
-0.013570860959589481,
0.023115050047636032,
-0.0009413565858267248,
-0.029231689870357513,
0.06297771632671356,
0.010617039166390896,
0.03516720235347748,
0.012957803905010223,
-0.005984276067465544,
0.00306180352345109,
0.010394109413027763,
-0.028535034507513046,
0.00037075168802402914,
-0.0019471538253128529,
-0.043025482445955276,
-0.04090764746069908,
-0.016385352239012718,
-0.05001990869641304,
0.004451632499694824,
0.007593551650643349,
0.015674762427806854,
-0.049044590443372726,
-0.040684718638658524,
0.055063698440790176,
-0.02124801091849804,
0.05461784079670906,
-0.019701434299349785,
0.006559017114341259,
0.037173569202423096,
0.00544088426977396,
0.026542598381638527,
-0.014518313109874725,
-0.015479698777198792,
-0.02259952388703823,
0.01961783692240715,
-0.01982683315873146,
0.021443074569106102,
-0.014462580904364586,
0.012707007117569447,
-0.010345343500375748,
0.010380175895988941,
0.00043606318649835885,
-0.028841562569141388,
-0.006914312019944191,
0.010352309793233871,
0.004469049163162708,
-0.0008150876383297145,
0.0055384160950779915,
-0.020746419206261635,
-0.02840963564813137,
0.0012626892421394587,
0.032575640827417374,
0.002136992523446679,
-0.04004379361867905,
-0.00934215821325779,
0.061918795108795166,
-0.028897294774651527,
-0.041771501302719116,
0.008213575929403305,
-0.0032481590751558542,
0.061194274574518204,
0.03564092516899109,
0.015535430982708931,
-0.016301752999424934,
-0.02191680110991001,
-0.07183917611837387,
-0.0018931629601866007,
-0.05144108831882477,
-0.053809717297554016,
-0.03171178698539734,
-0.06364650279283524,
-0.04090764746069908,
0.04544984549283981,
-0.005709096789360046,
-0.023505177348852158,
-0.03469347581267357,
-0.013452429324388504,
0.05369825288653374,
0.0023773389402776957,
0.007614451460540295,
-0.03343949466943741,
0.03260350599884987,
0.007990645244717598,
-0.023003585636615753,
-0.08833599835634232,
0.010150279849767685,
0.004162520170211792,
-0.017750797793269157,
0.008109076879918575,
-0.017332803457975388,
-0.013870423659682274,
-0.07027866691350937,
-0.0076283845119178295,
-0.005562799051403999,
-0.008248408325016499,
0.02945462055504322,
-0.017695065587759018,
0.046174366027116776,
-0.003573845839127898,
-0.01394705567508936,
0.012553743086755276,
-0.030123410746455193,
0.001162544940598309,
-0.02622213587164879,
0.012630375102162361,
0.06320064514875412,
0.004604896996170282,
-0.0030757368076592684,
0.0062002395279705524,
-0.016315685585141182,
-0.008868432603776455,
-0.050410035997629166,
-0.07562898844480515,
-0.0470939539372921,
-0.05790605768561363,
0.037229303270578384,
0.005928543396294117,
-0.0032220345456153154,
-0.01967356912791729,
0.0013915705494582653,
0.03594745695590973,
-0.005186604801565409,
-0.006116640754044056,
0.05885350704193115,
-0.02109474688768387,
0.05514729768037796,
-0.032519906759262085,
0.033829621970653534,
-0.03238057717680931,
-0.034721340984106064,
0.014058520086109638,
-0.009140128269791603,
-0.04678742587566376,
0.015814093872904778,
-0.05364252254366875,
-0.09184714406728745,
-0.030374206602573395,
0.0274621844291687,
-0.002462679287418723,
-0.014978106133639812,
0.00048417600919492543,
-0.015883758664131165,
-0.0606926791369915,
0.004033639095723629,
-0.008095144294202328,
0.0512738898396492,
-0.021178346127271652,
0.05085589736700058,
0.03447054326534271,
0.050632964819669724,
0.03405255079269409,
0.00782344862818718,
0.020481688901782036,
-0.0004336684360168874,
0.016566483303904533,
-0.0022205912973731756,
-0.04740048199892044,
0.017179539427161217,
0.015507564879953861,
-0.04244029149413109,
-0.03784235939383507,
-0.02637539990246296,
-0.008276274427771568,
0.03458201140165329,
-0.003295183414593339,
0.027866244316101074,
0.007217357400804758,
0.02066281996667385,
0.025232885032892227,
0.010080614127218723,
0.052917998284101486,
0.01580016128718853,
0.01210788358002901,
0.003528563305735588,
-0.019757168367505074,
-0.05174761638045311,
0.036337584257125854,
-0.035975322127342224,
-0.03731290251016617,
-0.03943073749542236,
-0.00703622680157423,
-0.014448647387325764,
0.07228504121303558,
0.023463377729058266,
-0.021317677572369576,
0.014866641722619534,
-0.00212654285132885,
0.017653265967965126,
-0.011961585842072964,
-0.0012295980704948306,
0.03369028866291046,
0.07122611999511719,
0.02799164317548275,
-0.03274283930659294,
0.01768113300204277,
0.07005573809146881,
-0.0010667546885088086,
0.003406648291274905,
0.004371517337858677,
-0.020634954795241356,
0.014051553793251514,
-0.02172173745930195,
-0.017917994409799576,
-0.020049763843417168,
-0.025302549824118614,
-0.012365645729005337,
-0.017068075016140938,
-0.02962181717157364,
-0.025344349443912506,
0.03511146828532219,
0.029844747856259346,
-0.024257566779851913,
-0.022167596966028214,
-0.0027117340359836817,
0.09909236431121826,
-0.023407645523548126,
0.04631369933485985,
-0.045338381081819534,
-0.018712183460593224,
-0.01678941212594509,
0.005423468071967363,
-0.0366162471473217,
-0.002079518511891365,
-0.020439891144633293,
0.036337584257125854,
0.016023090109229088,
-0.0022815486881881952,
-0.01457404624670744,
0.00021324207773432136,
0.0023355395533144474,
0.06726911664009094,
-0.00012126170622650534,
-0.05567675828933716,
-0.04425159469246864,
0.024828823283314705,
-0.0008002837421372533,
0.0020324941724538803,
0.03271497040987015,
0.031377390027046204,
0.004716361872851849,
0.030597137287259102,
0.013542994856834412,
0.0032324844505637884,
0.030151275917887688,
0.04179936647415161,
-0.034191880375146866,
-0.022000400349497795,
-0.02620820328593254,
0.025205017998814583,
-0.019241642206907272,
-0.03343949466943741,
-0.03271497040987015,
0.020579222589731216,
0.013926155865192413,
0.011759554967284203,
0.003953523468226194,
0.052026279270648956,
-0.018921179696917534,
-0.012309913523495197,
-0.07022293657064438,
0.022111864760518074,
-0.006297771353274584,
0.00797671265900135,
0.03915207460522652,
0.019339174032211304,
0.006656549405306578,
-0.05570462346076965,
0.0053712185472249985,
0.03360668942332268,
-0.02402070350944996,
-0.025302549824118614,
-0.04572850838303566,
-0.03583598881959915,
0.042300958186388016,
0.03076433390378952,
-0.011202230118215084,
0.02962181717157364,
-0.029008761048316956,
-0.011585391126573086,
-0.034498412162065506,
-0.014978106133639812,
-0.04949045181274414,
0.001648462493903935,
-0.03951433673501015,
-0.06754777580499649,
0.02679339423775673,
-0.03274283930659294,
-0.03182325139641762,
0.0170123428106308,
-0.03642118349671364,
0.019269507378339767,
-0.038483284413814545,
-0.04048965498805046,
-0.0030670284759253263,
0.0044028665870428085,
-0.041102711111307144,
0.0387062132358551,
-0.044446658343076706,
-0.05305733159184456,
-0.0026385849341750145,
0.04210589453577995,
-0.01315983384847641,
-0.04556130990386009,
-0.040210992097854614,
0.05489650368690491,
0.016650080680847168,
-0.015563298016786575,
-0.023937104269862175,
-0.040517520159482956,
0.016078822314739227,
0.0034571560099720955,
0.035501595586538315,
-0.0048661427572369576,
0.016148488968610764,
0.010268711484968662,
-0.061082806438207626,
-0.015145303681492805,
-0.006572950631380081,
0.00913316197693348,
0.005416501313447952,
-0.04483678936958313,
-0.009042596444487572,
0.028172774240374565,
0.028702231124043465,
-0.008095144294202328,
0.01318769995123148,
0.02212579734623432,
0.0038943076506257057,
0.009126194752752781,
-0.05489650368690491,
-0.028841562569141388,
0.018962979316711426,
0.006203722674399614,
0.005876294337213039,
-0.046035036444664,
-0.012707007117569447,
0.010359276086091995,
0.04859872907400131,
-0.022167596966028214,
-0.043666403740644455,
-0.006026075221598148,
-0.025093553587794304,
-0.03533439710736275,
-0.012086983770132065,
-0.01919984258711338,
0.010428941808640957,
-0.04305334761738777,
0.007774682249873877,
-0.01956210285425186,
0.005339869298040867,
0.01384255662560463,
0.011662023141980171,
0.0701114684343338,
0.03996019437909126,
-0.0319347158074379,
-0.014211785048246384,
0.008227508515119553,
0.000579095387365669,
-0.018698250874876976,
0.010993233881890774,
-0.002027269219979644,
0.03898487612605095,
0.037703029811382294,
0.0167476125061512,
0.0185728520154953,
0.00996914878487587,
0.016510749235749245,
-0.015563298016786575,
0.040628984570503235,
0.015563298016786575,
-0.01022691186517477,
-0.042886149138212204,
-0.03438694402575493,
0.010923568159341812,
-0.009154061786830425,
-0.012916004285216331,
0.02271099016070366,
0.03917993977665901,
-0.032993633300065994,
-0.017249206081032753,
-0.03720143809914589,
0.034972138702869415,
-0.055481694638729095,
0.012365645729005337,
0.005566282197833061,
0.025177152827382088,
-0.04369427263736725,
0.04976911470293999,
0.01663614809513092,
0.0005325064994394779,
0.03029060736298561,
0.01056827325373888,
0.018433520570397377,
0.07607484608888626,
0.010749404318630695,
0.002494029002264142,
0.010846936143934727,
-0.025678744539618492,
-0.0036609279923141003,
0.005374702159315348,
-0.004761644639074802,
-0.017249206081032753,
0.044613856822252274,
0.017277071252465248,
-0.03474920615553856,
0.012700040824711323,
0.03725716844201088,
-0.00988555047661066,
-0.03569665923714638,
0.004956708289682865,
0.004890525713562965,
-0.024369031190872192,
-0.03876194730401039,
0.000018967552023241296,
0.041102711111307144,
0.0006722731632180512,
-0.022265128791332245,
0.004921875428408384,
0.00578224565833807,
-0.02128981053829193,
-0.04040605574846268,
0.032575640827417374,
-0.018865447491407394,
-0.027169588953256607,
-0.01617635414004326,
-0.03656051307916641,
-0.009871616959571838,
0.006430136039853096,
-0.010456807911396027,
0.014838775619864464,
0.026403266936540604,
0.022627390921115875,
0.00591112719848752,
-0.0011407743440940976,
-0.05974522978067398,
-0.05481290444731712,
0.030318474397063255,
0.05801752209663391,
-0.036031052470207214,
0.029426753520965576,
0.047846343368291855,
0.018126992508769035,
-0.031098728999495506,
0.003309116465970874,
-0.0013262591091915965,
-0.011968552134931087,
0.0003289523010607809,
-0.027350720018148422,
-0.014323249459266663,
0.015814093872904778,
-0.04126990959048271,
0.004124204162508249,
0.025037821382284164,
-0.04595143720507622,
-0.023825639858841896,
-0.035390131175518036,
-0.0012113108532503247,
-0.035139333456754684,
-0.020384157076478004,
0.00871516764163971,
-0.0028144908137619495,
0.025037821382284164,
-0.007252190262079239,
0.038845546543598175,
-0.03959793224930763,
0.22616244852542877,
0.02987261489033699,
-0.017095940187573433,
0.0010380175663158298,
0.028451435267925262,
0.039012741297483444,
0.0032620923593640327,
-0.05205414444208145,
0.0027378585655242205,
-0.025873808190226555,
-0.01156449131667614,
-0.0434156097471714,
0.009843750856816769,
0.023783840239048004,
0.02762938104569912,
0.021387342363595963,
-0.010791203007102013,
0.004375000484287739,
0.043136946856975555,
-0.011390327475965023,
-0.038427550345659256,
-0.009404857642948627,
0.03605892136693001,
0.047066088765859604,
0.008485271595418453,
0.0026716762222349644,
0.02768511325120926,
-0.011724722571671009,
0.0023216065019369125,
-0.044920384883880615,
-0.0007693695952184498,
-0.006865546107292175,
0.01585589349269867,
-0.004799960646778345,
-0.00803244486451149,
0.033885352313518524,
-0.02542794868350029,
-0.028270306065678596,
0.007530852686613798,
-0.03447054326534271,
-0.006395303178578615,
0.03970940038561821,
-0.02558121271431446,
-0.024578027427196503,
0.01957603730261326,
0.0810907706618309,
-0.002417396754026413,
0.001797372824512422,
0.057627394795417786,
-0.05272293463349342,
0.0643710270524025,
0.005733479745686054,
0.003859474789351225,
0.017695065587759018,
-0.060358285903930664,
-0.005430434364825487,
-0.0023703724145889282,
0.003768909489735961,
0.00481389369815588,
0.03703423961997032,
0.012867238372564316,
-0.005026374012231827,
0.0033944568131119013,
0.04433519393205643,
-0.033829621970653534,
-0.006764530669897795,
0.0007663217256776989,
0.007307922467589378,
0.007711983285844326,
0.004148587118834257,
-0.004085888154804707,
-0.00771894957870245,
-0.014992039650678635,
-0.036114651709795,
0.02223726361989975,
0.056373413652181625,
0.012407445348799229,
0.04126990959048271,
0.00643710233271122,
-0.018029460683465004,
-0.025205017998814583,
-0.02831210382282734,
0.007635350804775953,
0.039486467838287354,
0.032408442348241806,
0.05729299783706665,
-0.010519507341086864,
-0.011627190746366978,
0.0549522340297699,
0.020175160840153694,
0.03692277520895004,
0.07284236699342728,
-0.04717755317687988,
-0.043554939329624176,
-0.006708798464387655
] |
1209_3 | History
Circle area
In the 5th century BCE, Hippocrates of Chios was the first to show that the area of a disk (the region enclosed by a circle) is proportional to the square of its diameter, as part of his quadrature of the lune of Hippocrates, but did not identify the constant of proportionality. Eudoxus of Cnidus, also in the 5th century BCE, also found that the area of a disk is proportional to its radius squared.
Subsequently, Book I of Euclid's Elements dealt with equality of areas between two-dimensional figures. The mathematician Archimedes used the tools of Euclidean geometry to show that the area inside a circle is equal to that of a right triangle whose base has the length of the circle's circumference and whose height equals the circle's radius, in his book Measurement of a Circle. (The circumference is 2r, and the area of a triangle is half the base times the height, yielding the area r2 for the disk.) Archimedes approximated the value of π (and hence the area of a unit-radius circle) with his doubling method, in which he inscribed a regular triangle in a circle and noted its area, then doubled the number of sides to give a regular hexagon, then repeatedly doubled the number of sides as the polygon's area got closer and closer to that of the circle (and did the same with circumscribed polygons).
Swiss scientist Johann Heinrich Lambert in 1761 proved that π, the ratio of a circle's area to its squared radius, is irrational, meaning it is not equal to the quotient of any two whole numbers. In 1794, French mathematician Adrien-Marie Legendre proved that π2 is irrational; this also proves that π is irrational. In 1882, German mathematician Ferdinand von Lindemann proved that π is transcendental (not the solution of any polynomial equation with rational coefficients), confirming a conjecture made by both Legendre and Euler.
Triangle area | [
-0.02619391679763794,
0.0056297811679542065,
0.07831716537475586,
-0.06197169050574303,
-0.044097501784563065,
0.018373960629105568,
-0.005229229107499123,
0.0019898999016731977,
0.015081346035003662,
0.07537733018398285,
0.06091335043311119,
-0.016066189855337143,
-0.03692431002855301,
0.005361521616578102,
-0.03774746134877205,
0.022225141525268555,
-0.03971715271472931,
-0.013508534990251064,
-0.060854554176330566,
0.003671117126941681,
0.05144708603620529,
0.009569157846271992,
-0.049712587147951126,
-0.044362086802721024,
-0.008466720581054688,
0.03327891603112221,
0.06114853918552399,
0.01741851307451725,
0.052182044833898544,
0.052064452320337296,
0.005144708789885044,
0.019138315692543983,
0.01868264190852642,
-0.044273894280195236,
-0.006214073393493891,
-0.03707130253314972,
0.0024547609500586987,
-0.07008562982082367,
0.011619692668318748,
-0.056239016354084015,
0.02619391679763794,
0.013853965327143669,
-0.007717063184827566,
-0.032808542251586914,
0.012288504280149937,
0.026517298072576523,
-0.020240753889083862,
-0.0225779227912426,
-0.02298949845135212,
-0.0501241609454155,
-0.013545283116400242,
-0.017874188721179962,
-0.004446498118340969,
0.0021718021016567945,
-0.01087738387286663,
-0.016124987974762917,
0.04012872651219368,
-0.051594078540802,
-0.02159307710826397,
0.04024632275104523,
0.01331744622439146,
-0.033955078572034836,
0.011862228624522686,
-0.051652874797582626,
0.012112114578485489,
-0.009444215334951878,
-0.010509905405342579,
-0.05309339612722397,
0.031279828399419785,
-0.060560572892427444,
-0.007783209439367056,
0.012281155213713646,
0.010950880125164986,
-0.03292613476514816,
-0.016242580488324165,
-0.02423892728984356,
0.0024915088433772326,
-0.027781426906585693,
-0.011774033308029175,
0.03136802464723587,
0.012802975252270699,
0.014353737235069275,
-0.04506764933466911,
0.05620961636304855,
-0.03163260966539383,
-0.038835201412439346,
-0.010267368517816067,
0.03718889504671097,
0.024033140391111374,
-0.008650460280478,
0.037277091294527054,
0.011803431436419487,
0.0468609482049942,
0.03186779469251633,
0.020961012691259384,
0.01824166812002659,
0.0216077771037817,
0.03830603137612343,
0.014838810078799725,
-0.024444716051220894,
0.08055143803358078,
0.05732675641775131,
-0.04471486806869507,
0.058590881526470184,
-0.049418602138757706,
0.018741438165307045,
-0.04086368530988693,
0.028486987575888634,
0.031456220895051956,
-0.021416688337922096,
0.01907951943576336,
-0.02522377297282219,
0.034631241112947464,
-0.004986692685633898,
0.009076735936105251,
0.01671295426785946,
0.0016086401883512735,
0.007162169553339481,
-0.01935880444943905,
-0.005049163941293955,
-0.007386331912130117,
0.002825915114954114,
-0.021681273356080055,
0.02857518196105957,
-0.02648789994418621,
0.01882963441312313,
-0.02592933177947998,
-0.0037960601039230824,
-0.03748287633061409,
-0.004674335476011038,
-0.008937094360589981,
-0.012148862704634666,
-0.015360630117356777,
-0.00043821893632411957,
0.03122103214263916,
0.05465150624513626,
0.023753855377435684,
0.04512644559144974,
0.024283025413751602,
-0.029163148254156113,
0.0020450216252356768,
-0.009583857841789722,
-0.02116680145263672,
0.05759134143590927,
0.006147927138954401,
0.0026660615112632513,
-0.04586140438914299,
0.0035461741499602795,
0.008892996236681938,
-0.0010390473762527108,
-0.010039531625807285,
-0.005978886503726244,
-0.011274261400103569,
-0.017051035538315773,
-0.03566018119454384,
0.04121646657586098,
-0.01922651194036007,
0.0285898819565773,
-0.012303203344345093,
0.013545283116400242,
-0.035748377442359924,
-0.031191634014248848,
-0.0036325319670140743,
0.039246778935194016,
-0.007062950171530247,
0.05820870399475098,
-0.04233360290527344,
-0.05882607027888298,
0.018373960629105568,
-0.02134319208562374,
0.022372134029865265,
-0.012486943043768406,
-0.024841593578457832,
-0.011024375446140766,
0.054563309997320175,
0.05006536468863487,
0.006416186690330505,
-0.06614625453948975,
-0.036424536257982254,
-0.021578378975391388,
-0.032661549746990204,
-0.03236756846308708,
0.0024988586083054543,
0.002949020592495799,
0.016345474869012833,
-0.013126356527209282,
-0.007827307097613811,
-0.026120420545339584,
0.03877640515565872,
-0.006688121240586042,
0.007893453352153301,
0.018859032541513443,
-0.05756194144487381,
0.029942205175757408,
-0.02566474676132202,
-0.009613255970180035,
-0.031573813408613205,
0.015654614195227623,
-0.0207552257925272,
-0.041334059089422226,
-0.007467177230864763,
0.058737874031066895,
0.0016931603895500302,
0.013493835926055908,
-0.041040077805519104,
-0.010083628818392754,
0.020402444526553154,
0.040216922760009766,
-0.03457244113087654,
-0.038952793926000595,
-0.011950423941016197,
-0.004380351863801479,
0.01896192692220211,
0.01841805689036846,
-0.018094675615429878,
0.024003740400075912,
-0.004475896712392569,
0.044244494289159775,
-0.022122247144579887,
0.030574269592761993,
0.05773833021521568,
0.06732218712568283,
-0.028810368850827217,
0.055415861308574677,
-0.010965579189360142,
0.022386832162737846,
0.004031246993690729,
0.07361343502998352,
-0.006533780135214329,
0.02647320181131363,
-0.020446542650461197,
0.028222402557730675,
-0.02287190593779087,
0.012883820571005344,
0.05435752123594284,
0.0030923373997211456,
0.029324840754270554,
0.025958729907870293,
-0.024341821670532227,
0.015507621690630913,
0.02747274562716484,
0.04433269053697586,
0.07614169269800186,
-0.016683556139469147,
0.03401387482881546,
0.0384824201464653,
0.012810325250029564,
0.028780970722436905,
-0.00995868630707264,
0.05294640362262726,
-0.05703277140855789,
0.0694388672709465,
-0.008371176198124886,
-0.06444115191698074,
-0.044126901775598526,
0.014816761016845703,
0.020417144522070885,
0.03613055497407913,
-0.027355151250958443,
-0.07073239237070084,
-0.02244562841951847,
-0.02928074263036251,
0.038247235119342804,
0.004545717500150204,
0.021240297704935074,
0.004700059071183205,
0.07126156240701675,
0.006750592961907387,
-0.00884889904409647,
0.013978908769786358,
-0.06820414215326309,
-0.012009220197796822,
-0.05809111148118973,
-0.01813877373933792,
-0.021519580855965614,
-0.02134319208562374,
-0.002004598965868354,
-0.027134664356708527,
0.027693232521414757,
0.008407924324274063,
-0.06843932718038559,
0.005229229107499123,
-0.08854778856039047,
0.024327123537659645,
0.008444671519100666,
0.033249516040086746,
-0.025605950504541397,
0.020578835159540176,
-0.039246778935194016,
0.039658356457948685,
-0.021431386470794678,
-0.035042814910411835,
-0.005346822086721659,
-0.017756594344973564,
0.017242124304175377,
0.029310140758752823,
0.04868364334106445,
0.025708844885230064,
0.04756650701165199,
-0.056121423840522766,
-0.03272034600377083,
0.026002828031778336,
0.0145668750628829,
0.01630137674510479,
0.0024841593112796545,
0.02382735162973404,
-0.004542042966932058,
-0.00200643646530807,
0.02578234113752842,
0.0057437000796198845,
-0.001326599856838584,
0.04098128154873848,
-0.015213638544082642,
0.01233995147049427,
-0.05488669127225876,
0.05185866355895996,
0.011200766079127789,
0.01443458255380392,
-0.02106390707194805,
-0.030780058354139328,
0.011480050161480904,
-0.008510817773640156,
-0.04180443286895752,
-0.02340107597410679,
-0.015213638544082642,
0.03427845984697342,
0.006092804949730635,
-0.0501241609454155,
0.01937350258231163,
-0.008599013090133667,
-0.049418602138757706,
0.019593991339206696,
-0.01643366925418377,
0.04027571901679039,
-0.014324339106678963,
-0.027796126902103424,
0.0221516452729702,
0.00550116365775466,
0.031426820904016495,
-0.014118550345301628,
0.008135989308357239,
-0.05300519987940788,
0.023930246010422707,
0.001248510554432869,
0.0048286765813827515,
0.005361521616578102,
-0.025282569229602814,
0.009223727509379387,
-0.015228337608277798,
0.006860836409032345,
0.012016570195555687,
0.002915947465226054,
-0.005431342404335737,
0.0197850801050663,
-0.0008093729265965521,
0.05162347853183746,
-0.01051725447177887,
0.00476987985894084,
-0.02146078459918499,
0.024283025413751602,
0.008687208406627178,
0.008937094360589981,
0.010355563834309578,
0.004497945308685303,
-0.03995233774185181,
-0.04421509802341461,
-0.02538546361029148,
-0.014375786297023296,
0.0025944032240659,
-0.02106390707194805,
-0.0035700604785233736,
0.05926704406738281,
-0.016624758020043373,
0.020740525797009468,
-0.019314706325531006,
0.02438591979444027,
0.06785135716199875,
0.016698254272341728,
0.018844332545995712,
-0.0231217909604311,
-0.014030355960130692,
-0.01783009059727192,
-0.03510161116719246,
0.008238883689045906,
0.005670203827321529,
0.0033164997585117817,
0.010362912900745869,
-0.0196674857288599,
0.004519993904978037,
-0.03792385384440422,
-0.03516041114926338,
0.0026182893197983503,
0.03298493102192879,
-0.020711127668619156,
-0.00862841121852398,
-0.01600739359855652,
0.04183383285999298,
0.025605950504541397,
0.019035423174500465,
-0.018329862505197525,
0.032690949738025665,
0.01740381494164467,
0.030074497684836388,
0.07908152043819427,
0.016933441162109375,
-0.001912729232572019,
-0.015331231988966465,
0.05838509649038315,
0.010892082937061787,
-0.009642654098570347,
-0.025400161743164062,
-0.01322925090789795,
-0.012876471504569054,
-0.04218661040067673,
0.023797953501343727,
0.02688477747142315,
-0.05003596842288971,
-0.00484705064445734,
-0.037835657596588135,
-0.010686295107007027,
-0.03277914598584175,
-0.059002459049224854,
0.028766270726919174,
0.03683611378073692,
0.04153984785079956,
-0.03536619618535042,
-0.01185487862676382,
-0.03177960216999054,
0.01643366925418377,
0.03201478719711304,
0.016668856143951416,
-0.01841805689036846,
-0.03474883362650871,
-0.0008957305690273643,
-0.01400830689817667,
-0.013302747160196304,
0.007819957099854946,
-0.007173194084316492,
-0.009657353162765503,
-0.062383268028497696,
0.005049163941293955,
0.04374472424387932,
-0.0039320276118814945,
-0.01590449921786785,
0.006688121240586042,
0.05209385231137276,
0.022239841520786285,
0.04888943210244179,
0.012023919261991978,
-0.0103188157081604,
0.027487443760037422,
-0.026252713054418564,
0.02760503813624382,
0.004159864503890276,
0.023503970354795456,
-0.005666529294103384,
-0.01060544978827238,
-0.052740614861249924,
0.04295096918940544,
-0.017492009326815605,
-0.032808542251586914,
0.021769467741250992,
-0.009039987809956074,
0.005548935849219561,
-0.009194329380989075,
0.03427845984697342,
-0.048595450818538666,
0.03586596995592117,
0.05521007627248764,
-0.01364817749708891,
0.009039987809956074,
-0.006309617776423693,
-0.024165432900190353,
-0.031720805913209915,
0.038805801421403885,
-0.006754267495125532,
-0.027678532525897026,
0.005379895213991404,
0.005912740249186754,
-0.005008741281926632,
0.03983474522829056,
-0.009032638743519783,
0.015845702961087227,
0.04477366432547569,
-0.027678532525897026,
-0.015066646970808506,
-0.0012962828623130918,
0.020108461380004883,
-0.02622331492602825,
0.02967762015759945,
-0.02581173926591873,
-0.02914845012128353,
0.001021592179313302,
-0.05312279239296913,
-0.0000915252894628793,
-0.009745548479259014,
-0.01769779808819294,
-0.026385005563497543,
0.014449281617999077,
-0.004490595776587725,
0.03110343962907791,
0.045361630618572235,
-0.015992695465683937,
0.018844332545995712,
-0.036718521267175674,
-0.01924121007323265,
-0.008554915897548199,
-0.012560439296066761,
-0.013119007460772991,
0.029912807047367096,
0.010568701662123203,
0.015287134796380997,
-0.00800369679927826,
-0.003481865394860506,
-0.01631607674062252,
0.051917459815740585,
0.0602077916264534,
0.02703176997601986,
-0.02301889657974243,
0.053593166172504425,
0.00829767994582653,
-0.044273894280195236,
0.014971102587878704,
0.041745636612176895,
0.0015755670610815287,
0.028736872598528862,
-0.024988586083054543,
-0.04195142537355423,
0.002388614695519209,
-0.0337492898106575,
0.00005810764923808165,
-0.03510161116719246,
-0.04991837590932846,
-0.024635804817080498,
-0.042039621621370316,
-0.04668455570936203,
0.03166200593113899,
-0.019976168870925903,
-0.02370975725352764,
-0.01643366925418377,
-0.035307399928569794,
-0.018579747527837753,
0.022181043401360512,
0.00048323514056392014,
-0.027987215667963028,
0.008437322452664375,
0.018712040036916733,
0.011266912333667278,
-0.00800369679927826,
-0.01080388855189085,
-0.0030353781767189503,
0.012994064018130302,
0.03633634373545647,
-0.01755080558359623,
-0.03495462238788605,
-0.04665515944361687,
-0.017227424308657646,
-0.008459371514618397,
0.0017354205483570695,
0.06820414215326309,
-0.0005365196266211569,
0.03551318868994713,
-0.01700693741440773,
-0.03151501715183258,
0.00571062695235014,
0.004872774239629507,
0.0018245342653244734,
-0.055004287511110306,
0.020843420177698135,
0.010502555407583714,
-0.024033140391111374,
0.004339929204434156,
0.005038139875978231,
0.023650960996747017,
-0.025738243013620377,
-0.052740614861249924,
-0.029795212671160698,
-0.0019696885719895363,
-0.031985390931367874,
0.031573813408613205,
0.01813877373933792,
0.0037225643172860146,
-0.0423630028963089,
-0.043979909271001816,
0.043685927987098694,
-0.030633065849542618,
0.019593991339206696,
0.04947739839553833,
0.0003771255142055452,
0.030633065849542618,
-0.020284852012991905,
0.004762530326843262,
0.0008819500799290836,
0.006757942494004965,
0.02244562841951847,
-0.0359247662127018,
-0.026105722412467003,
0.005398269277065992,
-0.010554002597928047,
-0.02594403177499771,
-0.004762530326843262,
0.02928074263036251,
0.005170432385057211,
-0.0404227115213871,
-0.004229685757309198,
-0.05238783359527588,
-0.060031402856111526,
-0.001054665306583047,
0.06914488226175308,
0.010590750724077225,
-0.011943073943257332,
0.022622019052505493,
0.03804144635796547,
-0.02467990294098854,
0.013001414015889168,
0.0509767159819603,
-0.04641997069120407,
0.009598556905984879,
0.03051547333598137,
-0.00933397188782692,
-0.030838854610919952,
0.036571528762578964,
0.001822696765884757,
-0.0621480830013752,
-0.018050577491521835,
0.033778686076402664,
-0.0011419416405260563,
-0.03998173773288727,
-0.05162347853183746,
-0.02565004862844944,
0.05647420138120651,
-0.0404227115213871,
0.027119964361190796,
0.05615082010626793,
-0.007650916930288076,
0.008621062152087688,
0.006438235752284527,
0.026576096192002296,
-0.001695916522294283,
0.003402857342734933,
0.07643567025661469,
0.0033109874930232763,
-0.025444259867072105,
-0.018859032541513443,
-0.05794411897659302,
0.025179674848914146,
-0.02284250780940056,
-0.01358203124254942,
-0.05732675641775131,
-0.04727252572774887,
-0.007305486593395472,
0.05312279239296913,
-0.003851182060316205,
-0.004960969090461731,
-0.007577421143651009,
0.04765470325946808,
0.0030408904422074556,
-0.03513101115822792,
0.0008778159390203655,
0.027413947507739067,
-0.0015893474919721484,
0.029736416414380074,
-0.0009090516832657158,
-0.034601841121912,
0.0032742395997047424,
-0.0021626150701195,
-0.03945256769657135,
-0.014397835358977318,
-0.03689491003751755,
-0.05209385231137276,
-0.058590881526470184,
-0.053593166172504425,
-0.055004287511110306,
0.01358203124254942,
-0.007423079572618008,
-0.019961470738053322,
-0.016654158011078835,
0.03442545235157013,
0.06344161182641983,
-0.03301433101296425,
0.05991380661725998,
-0.01937350258231163,
-0.0028204028494656086,
-0.007066625170409679,
0.019329406321048737,
-0.04180443286895752,
-0.03959955647587776,
-0.010980278253555298,
0.04459727555513382,
-0.02243093028664589,
0.02800191566348076,
0.017903586849570274,
0.07143795490264893,
-0.04765470325946808,
0.012810325250029564,
-0.012325252406299114,
-0.05785592645406723,
0.005001391749829054,
0.018844332545995712,
-0.003441442735493183,
0.03633634373545647,
0.015669312328100204,
-0.02381265163421631,
-0.018726740032434464,
0.006743243429809809,
-0.04656696319580078,
0.021813565865159035,
0.025400161743164062,
0.011340407654643059,
-0.03236756846308708,
0.0440681055188179,
-0.04503824934363365,
-0.034601841121912,
-0.027678532525897026,
-0.023342277854681015,
0.02131379395723343,
0.0196674857288599,
0.005453391466289759,
-0.02185766212642193,
0.02259262092411518,
0.04806628078222275,
-0.030045099556446075,
0.0012246244587004185,
-0.02632620930671692,
-0.015316532924771309,
-0.004685359541326761,
0.0008415273623540998,
0.044656071811914444,
-0.01227380521595478,
0.012060667388141155,
-0.023606862872838974,
-0.0028957361355423927,
-0.017359716817736626,
0.029089653864502907,
0.001796973287127912,
-0.03192659094929695,
-0.033661093562841415,
0.006041358225047588,
-0.003909978549927473,
-0.026399705559015274,
0.001934777945280075,
0.010304116643965244,
-0.03862941265106201,
-0.007614168804138899,
-0.010745091363787651,
-0.053857751190662384,
-0.009943987242877483,
-0.05306399613618851,
-0.0507415272295475,
0.015301833860576153,
-0.03230877220630646,
-0.0017537944950163364,
0.03621875122189522,
-0.024180131033062935,
-0.005288025829941034,
-0.04544982686638832,
-0.023445172235369682,
-0.011458001099526882,
0.05473970249295235,
0.009142882190644741,
-0.014669769443571568,
0.0019292657962068915,
-0.038129642605781555,
0.00007705579628236592,
0.0301038958132267,
-0.006603601388633251,
-0.0015498434659093618,
0.028751572594046593,
0.02581173926591873,
0.03901159018278122,
0.00497934315353632,
-0.033514101058244705,
-0.006147927138954401,
0.02006436325609684,
-0.001561786630190909,
0.003891604719683528,
0.01756550557911396,
-0.02354806661605835,
0.017756594344973564,
-0.07155554741621017,
0.026723086833953857,
0.015463524498045444,
-0.02650259993970394,
-0.016507165506482124,
-0.04318615421652794,
-0.035072214901447296,
0.05168227478861809,
0.06250086426734924,
-0.02369505912065506,
0.052476029843091965,
0.030280286446213722,
-0.04009933024644852,
0.002155265538021922,
-0.04121646657586098,
-0.011538846418261528,
-0.0011731773847714067,
0.018462155014276505,
-0.019902672618627548,
-0.023871447890996933,
-0.01785948872566223,
0.0421278141438961,
0.024091936647892,
0.0075627220794558525,
-0.02385674975812435,
-0.012310553342103958,
0.0007129096193239093,
0.02789902128279209,
0.028633978217840195,
-0.01483146008104086,
0.03233816847205162,
-0.04812507703900337,
0.013773120008409023,
-0.010509905405342579,
-0.006486007943749428,
-0.009216378442943096,
-0.002542956033721566,
0.04868364334106445,
-0.019402900710701942,
0.0031364350579679012,
-0.025988128036260605,
-0.01781539060175419,
0.0432155542075634,
-0.061383724212646484,
0.036747921258211136,
0.00008756339957471937,
0.0716143473982811,
0.040069930255413055,
-0.012729478999972343,
-0.0003277455107308924,
0.027810825034976006,
0.015581117942929268,
-0.025135576725006104,
-0.014802061952650547,
0.007459827698767185,
0.017477311193943024,
0.009260475635528564,
-0.08478479832410812,
-0.003902629017829895,
0.03451364487409592,
0.012222358025610447,
-0.022225141525268555,
0.04371532425284386,
-0.025797039270401,
-0.013964209705591202,
-0.04168684035539627,
0.008209485560655594,
-0.0432155542075634,
0.029648222029209137,
0.009025288745760918,
-0.0011437790235504508,
-0.017109831795096397,
0.0660286620259285,
-0.005240253172814846,
0.008973841555416584,
-0.004189262632280588,
-0.029045555740594864,
0.0713791623711586,
0.029354238882660866,
0.06332401186227798,
0.015566418878734112,
0.023768555372953415,
0.004255408886820078,
-0.03125043213367462,
-0.014662420377135277,
-0.0010013808496296406,
-0.004303181543946266,
0.03663032501935959,
0.0046192132867872715,
0.0023426797706633806,
-0.0029343212954699993,
0.02885446697473526,
0.0037850358057767153,
0.003717052051797509,
-0.04015812650322914,
0.04659636318683624,
0.0023132816422730684,
-0.01743321307003498,
0.011413903906941414,
0.012516341172158718,
0.028810368850827217,
-0.02719346061348915,
-0.02229863777756691,
-0.045802608132362366,
-0.005784122738987207,
-0.049712587147951126,
0.006831438280642033,
-0.05844389274716377,
0.0013073072768747807,
-0.019608689472079277,
-0.012597186490893364,
0.008885647170245647,
-0.006416186690330505,
0.0068093896843492985,
-0.027369851246476173,
0.045773208141326904,
0.0031878820154815912,
0.010987628251314163,
0.04894822835922241,
-0.056121423840522766,
-0.048272065818309784,
-0.01233995147049427,
0.03912918642163277,
0.010282067582011223,
-0.006739568430930376,
0.04195142537355423,
0.07337824255228043,
0.022254539653658867,
-0.00439137639477849,
0.02563534863293171,
-0.021563678979873657,
0.035307399928569794,
-0.0033716217149049044,
-0.04027571901679039,
-0.01896192692220211,
-0.04977138340473175,
-0.0197850801050663,
0.00568122835829854,
0.012927917763590813,
0.0021773141343146563,
-0.043685927987098694,
-0.015919199213385582,
-0.024077236652374268,
0.011766684241592884,
-0.03707130253314972,
-0.0022912328131496906,
0.015331231988966465,
0.004791928920894861,
0.038835201412439346,
-0.05141768977046013,
0.2547071874141693,
0.03148561716079712,
0.019755681976675987,
0.02688477747142315,
0.0028130533173680305,
0.030838854610919952,
0.018932528793811798,
-0.06250086426734924,
-0.01713922992348671,
-0.024856293573975563,
0.008591664023697376,
0.017668399959802628,
0.011318359524011612,
0.014735915698111057,
0.050829723477363586,
0.030015701428055763,
-0.03330831602215767,
-0.00728343753144145,
0.010664246045053005,
0.006034008227288723,
-0.03224997594952583,
0.04015812650322914,
-0.020696427673101425,
-0.0050822370685637,
-0.019873274490237236,
-0.02121089957654476,
0.0035204507876187563,
-0.05394594743847847,
-0.038982193917036057,
0.0024216878227889538,
-0.06038418039679527,
0.013221901841461658,
0.01227380521595478,
-0.015096045099198818,
0.023062994703650475,
0.021431386470794678,
0.010120376944541931,
-0.01436108723282814,
0.004222335759550333,
-0.011266912333667278,
0.020946314558386803,
0.014949053525924683,
-0.002118517644703388,
-0.015257736667990685,
0.000021689886125386693,
0.053857751190662384,
0.012707430869340897,
0.004284807480871677,
-0.0038291332311928272,
-0.03948196396231651,
0.019579291343688965,
-0.01615438610315323,
-0.04121646657586098,
0.0224603284150362,
-0.049565594643354416,
0.020990410819649696,
0.08102181553840637,
0.028927963227033615,
0.008510817773640156,
0.014750614762306213,
-0.005137359257787466,
0.008209485560655594,
0.007077649235725403,
0.005879667121917009,
-0.019755681976675987,
0.012589837424457073,
-0.008209485560655594,
0.062089286744594574,
-0.04380352050065994,
0.038805801421403885,
-0.02049064077436924,
-0.03836482763290405,
0.018079975619912148,
-0.009921938180923462,
0.05279941111803055,
-0.005049163941293955,
-0.028207702562212944,
0.037688665091991425,
-0.016830546781420708,
0.01003218162804842,
0.004384026862680912,
-0.006482332944869995,
0.008863598108291626,
0.044391486793756485,
0.00019901295308955014,
0.06397078186273575,
0.0034763531293720007,
0.0034543045330792665,
0.003298125695437193,
-0.003998173866420984,
0.020593533292412758,
0.014155298471450806,
-0.02883976697921753,
-0.030985845252871513,
-0.010884733870625496
] |
1209_4 | Triangle area
Heron (or Hero) of Alexandria found what is known as Heron's formula for the area of a triangle in terms of its sides, and a proof can be found in his book, Metrica, written around 60 CE. It has been suggested that Archimedes knew the formula over two centuries earlier, and since Metrica is a collection of the mathematical knowledge available in the ancient world, it is possible that the formula predates the reference given in that work.
In 499 Aryabhata, a great mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, expressed the area of a triangle as one-half the base times the height in the Aryabhatiya (section 2.6).
A formula equivalent to Heron's was discovered by the Chinese independently of the Greeks. It was published in 1247 in Shushu Jiuzhang ("Mathematical Treatise in Nine Sections"), written by Qin Jiushao.
Quadrilateral area
In the 7th century CE, Brahmagupta developed a formula, now known as Brahmagupta's formula, for the area of a cyclic quadrilateral (a quadrilateral inscribed in a circle) in terms of its sides. In 1842, the German mathematicians Carl Anton Bretschneider and Karl Georg Christian von Staudt independently found a formula, known as Bretschneider's formula, for the area of any quadrilateral.
General polygon area
The development of Cartesian coordinates by René Descartes in the 17th century allowed the development of the surveyor's formula for the area of any polygon with known vertex locations by Gauss in the 19th century.
Areas determined using calculus
The development of integral calculus in the late 17th century provided tools that could subsequently be used for computing more complicated areas, such as the area of an ellipse and the surface areas of various curved three-dimensional objects.
Area formulas
Polygon formulas
For a non-self-intersecting (simple) polygon, the Cartesian coordinates (i=0, 1, ..., n-1) of whose n vertices are known, the area is given by the surveyor's formula: | [
-0.04475482553243637,
0.03949306905269623,
0.059553518891334534,
-0.05713191255927086,
-0.022138243541121483,
0.039343588054180145,
0.02293049544095993,
0.0012108018854632974,
0.017354827374219894,
0.05010627210140228,
0.04953824356198311,
-0.024619638919830322,
-0.050435133278369904,
-0.030404582619667053,
0.0005815773038193583,
-0.04882073029875755,
-0.019073868170380592,
0.0014808032428845763,
-0.07025641202926636,
-0.00026813283329829574,
0.053843315690755844,
0.04747539386153221,
-0.03910441696643829,
-0.06529361754655838,
-0.00012449025234673172,
0.040031205862760544,
0.07611609250307083,
0.0013462697388604283,
0.040778614580631256,
0.05097326636314392,
-0.0010015275329351425,
-0.0024402891285717487,
0.03195919096469879,
-0.026742279529571533,
0.001926445635035634,
0.003641748335212469,
0.0051496452651917934,
-0.06816366314888,
-0.0035763501655310392,
-0.028281942009925842,
0.016667211428284645,
-0.00230014999397099,
0.019641898572444916,
-0.028266994282603264,
0.016861537471413612,
-0.002146931132301688,
-0.024843862280249596,
-0.00579615356400609,
-0.0011285869404673576,
-0.04819290712475777,
-0.026278886944055557,
-0.00681636668741703,
0.023304199799895287,
-0.03485913574695587,
-0.036443643271923065,
-0.03408183157444,
0.01316933985799551,
-0.04059923440217972,
-0.011248499155044556,
0.04801352694630623,
0.005246808286756277,
-0.03536737337708473,
0.00211142934858799,
-0.04409710690379143,
0.012220130302011967,
0.005781205371022224,
0.002864443464204669,
-0.028595853596925735,
0.047445498406887054,
-0.04917948693037033,
-0.00985084567219019,
0.01316933985799551,
0.003953791689127684,
-0.013580414466559887,
-0.03420141711831093,
-0.04033016785979271,
0.017623895779252052,
-0.02003055065870285,
-0.056294817477464676,
0.03249732777476311,
0.00011649063526419923,
0.012765739113092422,
-0.04230332747101784,
0.05148150399327278,
0.001858244650065899,
-0.03121178410947323,
-0.005915739107877016,
0.04825269803404808,
0.006494980771094561,
-0.0017498703673481941,
0.0292386244982481,
0.011906218715012074,
0.04024047777056694,
0.028102563694119453,
0.025426840409636497,
0.009155754931271076,
-0.01832645945250988,
0.041227057576179504,
-0.0032306737266480923,
0.0009847108740359545,
0.06619050353765488,
0.07115329802036285,
-0.03895493596792221,
0.06003185734152794,
-0.03698177635669708,
0.034918930381536484,
-0.06332045793533325,
-0.0018442306900396943,
0.02684691734611988,
-0.056055646389722824,
0.05327528342604637,
-0.023378940299153328,
0.027758754789829254,
-0.021450627595186234,
0.044724930077791214,
0.008572776801884174,
-0.017190398648381233,
0.01807234063744545,
-0.01032171305269003,
0.021525368094444275,
0.017608946189284325,
-0.0004974938347004354,
-0.013924222439527512,
0.026278886944055557,
-0.03130147233605385,
-0.0038753135595470667,
-0.01790791004896164,
-0.0020572422072291374,
-0.062363773584365845,
0.0003344653523527086,
-0.0009099699673242867,
-0.022781014442443848,
-0.03946317359805107,
0.0021749590523540974,
0.008916584774851799,
0.0347694493830204,
-0.020434150472283363,
0.02813245914876461,
-0.003408183343708515,
-0.027220621705055237,
0.00946219265460968,
-0.035247791558504105,
-0.005579404998570681,
0.06415755301713943,
0.004192962311208248,
0.00006674125324934721,
-0.03050921857357025,
-0.005037534050643444,
-0.04098788648843765,
0.004312547855079174,
-0.014514675363898277,
-0.00920059997588396,
-0.05471030995249748,
-0.01680174469947815,
-0.013744844123721123,
0.011001854203641415,
-0.016383197158575058,
0.02479901723563671,
0.00044143819832243025,
0.013804636895656586,
-0.034739550203084946,
-0.04299094155430794,
0.018027495592832565,
0.025710856541991234,
-0.02804277092218399,
0.0750398263335228,
-0.05031554773449898,
-0.03596530109643936,
-0.00300645106472075,
-0.035606544464826584,
0.02615930140018463,
-0.010119912214577198,
-0.010022749193012714,
0.0004792757681570947,
0.059553518891334534,
0.05871642008423805,
0.0007399345049634576,
-0.04959803447127342,
-0.015366720966994762,
0.0009263195097446442,
0.008640043437480927,
-0.04080851003527641,
0.03895493596792221,
0.05880611017346382,
-0.015874959528446198,
0.013326295651495457,
-0.00494037102907896,
-0.010448772460222244,
0.02566601149737835,
-0.0008394332835450768,
0.016861537471413612,
0.0349787212908268,
-0.040957991033792496,
0.016308454796671867,
-0.0342911072075367,
0.010463720187544823,
-0.04101778566837311,
0.02387223020195961,
-0.01299743540585041,
-0.037220947444438934,
0.009776104241609573,
0.03357359394431114,
0.030404582619667053,
0.006263284012675285,
-0.0768933966755867,
-0.0141036007553339,
0.016144026070833206,
0.01723524183034897,
-0.046937260776758194,
0.009387452155351639,
0.018371302634477615,
-0.0037893615663051605,
-0.04194457083940506,
0.002414129674434662,
0.00869983620941639,
0.023633059114217758,
-0.034051936119794846,
0.040031205862760544,
-0.015740424394607544,
0.007489033974707127,
0.03775908425450325,
0.05172067508101463,
-0.01695122756063938,
0.07240894436836243,
-0.0020404255483299494,
0.03895493596792221,
-0.011315765790641308,
0.08024178445339203,
-0.02224287949502468,
0.03701167553663254,
0.02624898962676525,
-0.005710201803594828,
0.0153069281950593,
0.010979432612657547,
0.04630943760275841,
-0.012788161635398865,
-0.0004152789188083261,
0.02856595627963543,
0.007720730733126402,
0.02523251436650753,
0.04690736532211304,
0.04370845481753349,
0.05192995071411133,
0.019208401441574097,
0.044127002358436584,
0.049747515469789505,
0.015531150624155998,
-0.004432132933288813,
0.0052767046727240086,
0.04388783499598503,
-0.054082486778497696,
0.05823807790875435,
-0.0009650913416408002,
-0.052647460252046585,
-0.02624898962676525,
0.003957528620958328,
0.009402399882674217,
-0.0119734862819314,
-0.009813475422561169,
-0.04962792992591858,
-0.02095733769237995,
0.021510420367121696,
0.04041985794901848,
-0.01509765349328518,
-0.016233714297413826,
0.013401036150753498,
0.03417152166366577,
-0.02574075199663639,
-0.021181559190154076,
0.008109383285045624,
-0.04908979684114456,
-0.017623895779252052,
-0.06302149593830109,
0.003991161938756704,
-0.0361446812748909,
0.001757344463840127,
0.007720730733126402,
-0.02804277092218399,
0.009484615176916122,
-0.0003814119554590434,
-0.03952296823263168,
-0.002871917560696602,
-0.0746212750673294,
0.02506808377802372,
0.022198036313056946,
0.018221821635961533,
-0.0018610474653542042,
0.012556464411318302,
-0.04218374192714691,
0.021256301552057266,
-0.016921330243349075,
-0.0023094925563782454,
0.01483606081455946,
0.0012575149303302169,
0.0027093561366200447,
-0.0040023731999099255,
0.04598057642579079,
-0.001208933419547975,
0.02838657796382904,
-0.05814838781952858,
-0.03919410705566406,
-0.004828259348869324,
-0.0032885977998375893,
-0.010127387009561062,
0.0011846426641568542,
0.03285608068108559,
-0.006068957969546318,
-0.016592470929026604,
0.019477467983961105,
-0.017504310235381126,
-0.024410365149378777,
0.04041985794901848,
-0.014395089820027351,
-0.021510420367121696,
-0.05805870145559311,
0.05088357627391815,
0.018535733222961426,
0.020508892834186554,
-0.002451500156894326,
-0.03716115653514862,
0.01056835800409317,
-0.0019301826832816005,
-0.005590616259723902,
-0.021510420367121696,
-0.030314892530441284,
0.03375297412276268,
-0.016054335981607437,
-0.047266118228435516,
0.008722258731722832,
-0.029447898268699646,
-0.03408183157444,
0.013311346992850304,
-0.012758265249431133,
0.053484559059143066,
0.0076086195185780525,
-0.031839605420827866,
0.04128685221076012,
-0.006334288045763969,
0.02925357222557068,
-0.027086088433861732,
0.022825859487056732,
-0.04852176830172539,
0.027818547561764717,
0.008430768735706806,
0.005478505045175552,
-0.02053878828883171,
-0.03300556540489197,
0.018356354907155037,
-0.021331042051315308,
0.012608783319592476,
-0.028027823194861412,
0.037460118532180786,
-0.02215319126844406,
0.014178341254591942,
0.005317812319844961,
0.04867124930024147,
-0.007216230034828186,
-0.022825859487056732,
-0.0379982516169548,
0.04406721144914627,
0.035337477922439575,
0.038147736340761185,
0.010441298596560955,
-0.015060283243656158,
-0.04119716212153435,
-0.032706599682569504,
-0.048551663756370544,
0.0034847925417125225,
0.005822313018143177,
-0.028595853596925735,
0.03734053298830986,
0.04415690153837204,
-0.0164579376578331,
-0.020419202744960785,
-0.011315765790641308,
0.027325257658958435,
0.04559192433953285,
0.015874959528446198,
0.012810583226382732,
0.014178341254591942,
0.0043050735257565975,
-0.00471241120249033,
-0.007350763771682978,
-0.0007656266679987311,
0.008939007297158241,
0.02617424912750721,
-0.004316284786909819,
-0.04080851003527641,
0.007885160855948925,
-0.02124135196208954,
-0.04152602329850197,
-0.000004445037575351307,
-0.005997953936457634,
-0.028924712911248207,
-0.04448575899004936,
-0.015979595482349396,
0.036951880902051926,
0.01321418397128582,
0.00877457670867443,
-0.007855264469981194,
0.04424658790230751,
0.05219901725649834,
0.0439775213599205,
0.08364997059106827,
-0.01868521422147751,
0.030030878260731697,
-0.01129334419965744,
0.07025641202926636,
0.002283333335071802,
-0.01950736530125141,
-0.034649863839149475,
-0.02925357222557068,
0.02626393921673298,
-0.027414947748184204,
0.0019825012423098087,
0.006225913763046265,
-0.0492691732943058,
0.012608783319592476,
-0.038925040513277054,
0.010202127508819103,
-0.038655973970890045,
-0.035756029188632965,
0.039164211601018906,
0.0015854404773563147,
0.015030386857688427,
-0.03692198544740677,
-0.008423294872045517,
-0.07210998237133026,
0.0034791871439665556,
0.038237422704696655,
0.023677904158830643,
-0.029716966673731804,
0.006764047779142857,
-0.021301144734025,
-0.01798265054821968,
-0.01952231302857399,
0.025606218725442886,
-0.027579378336668015,
-0.011158809997141361,
-0.06684822589159012,
0.0030905345920473337,
0.022138243541121483,
0.0023113610222935677,
-0.0020946126896888018,
0.011368084698915482,
0.02931336499750614,
-0.014813638292253017,
0.057849425822496414,
0.02242225781083107,
-0.014096125960350037,
0.014290452934801579,
-0.02233256958425045,
0.010179704986512661,
-0.008767102845013142,
0.03228805214166641,
-0.013670103624463081,
0.02454489842057228,
-0.048372283577919006,
0.020015602931380272,
-0.008027167990803719,
-0.015336824581027031,
0.03802815079689026,
-0.04621974751353264,
-0.003791230032220483,
-0.02624898962676525,
0.019492415711283684,
-0.0448744110763073,
0.011308291926980019,
0.04529296234250069,
-0.012975013814866543,
-0.023573268204927444,
-0.012242552824318409,
-0.027071138843894005,
-0.015456410124897957,
0.01823676936328411,
-0.049328967928886414,
0.00007783559703966603,
0.0278633926063776,
-0.040120892226696014,
-0.002262779511511326,
0.0014994884841144085,
0.0018956150161102414,
-0.007847790606319904,
0.009723786264657974,
-0.002290807431563735,
-0.01227244921028614,
-0.0062744952738285065,
-0.01671205647289753,
-0.028147408738732338,
0.02754948101937771,
-0.005003900732845068,
-0.044724930077791214,
-0.0014602495357394218,
-0.03596530109643936,
0.009402399882674217,
-0.008625095710158348,
-0.02539694495499134,
-0.004988952539861202,
0.014970594085752964,
0.0041555920615792274,
0.04894031584262848,
0.07587692141532898,
0.012309819459915161,
0.012003381736576557,
-0.029866447672247887,
-0.010628150776028633,
-0.015037860721349716,
-0.025770649313926697,
-0.02967212162911892,
0.022452155128121376,
0.009738733991980553,
0.014073704369366169,
-0.04382804036140442,
-0.03333442285656929,
-0.01133818831294775,
0.05046502873301506,
0.05231860280036926,
0.005205701105296612,
-0.028192251920700073,
0.0759965032339096,
0.032258156687021255,
-0.04935886338353157,
-0.0013752317754551768,
0.046249642968177795,
-0.003583824262022972,
0.016607418656349182,
-0.018132133409380913,
-0.056563884019851685,
-0.013819584622979164,
-0.0173847246915102,
0.033543698489665985,
-0.03163033351302147,
-0.04870114475488663,
-0.01435771957039833,
-0.0306138563901186,
-0.03204888105392456,
0.038655973970890045,
0.016308454796671867,
-0.03955286368727684,
-0.030673649162054062,
-0.04911969229578972,
-0.005620512645691633,
0.04792384058237076,
0.023648008704185486,
-0.041227057576179504,
0.02523251436650753,
0.021017130464315414,
0.02745979279279709,
0.007989797741174698,
-0.0272804144769907,
0.017519257962703705,
-0.00624833581969142,
0.02856595627963543,
-0.025038188323378563,
-0.015605892054736614,
-0.0306138563901186,
-0.011584833264350891,
0.018176976591348648,
-0.007817894220352173,
0.04502389580011368,
-0.0028027822263538837,
0.01569558121263981,
-0.029612328857183456,
-0.023468630388379097,
0.025277359411120415,
0.010478668846189976,
0.04179508984088898,
-0.018864592537283897,
0.01952231302857399,
0.007190070580691099,
-0.03488903492689133,
0.005224386230111122,
0.00873720645904541,
-0.0161141287535429,
-0.013348717242479324,
-0.03907452151179314,
-0.04520327225327492,
0.005938161164522171,
-0.037549808621406555,
0.024784069508314133,
0.006196017377078533,
-0.0015536756254732609,
-0.0485815592110157,
-0.0086923623457551,
0.042153846472501755,
-0.015254609286785126,
0.03479934483766556,
0.05722160264849663,
0.016637315973639488,
0.054949481040239334,
0.000020261779354768805,
-0.0315406434237957,
-0.023035133257508278,
-0.027295362204313278,
0.006128750741481781,
-0.046249642968177795,
-0.03689208999276161,
0.04917948693037033,
-0.008752155117690563,
-0.04179508984088898,
0.008498035371303558,
0.03435089811682701,
0.018939334899187088,
-0.024679431691765785,
0.019925912842154503,
-0.005616775713860989,
-0.06756573915481567,
0.003254964482039213,
0.0315406434237957,
0.02488870732486248,
-0.0003052696993108839,
0.009305236861109734,
0.011951063759624958,
-0.003916420973837376,
0.015441461466252804,
0.03557664901018143,
-0.009701363742351532,
0.009223022498190403,
0.022392362356185913,
-0.018296562135219574,
-0.04314042627811432,
0.03862607479095459,
0.017698636278510094,
-0.05381342023611069,
0.01730998232960701,
0.034141626209020615,
-0.0009160426561720669,
0.009260392747819424,
-0.02429077960550785,
-0.003692198544740677,
0.03330452740192413,
-0.024515002965927124,
0.007261074613779783,
0.041645608842372894,
0.023917075246572495,
0.005620512645691633,
0.001589177525602281,
0.034321002662181854,
0.0018143344204872847,
0.0263536274433136,
0.05793911591172218,
0.004596563056111336,
-0.016517730429768562,
-0.043439388275146484,
-0.03330452740192413,
0.0004783415060956031,
-0.01704091578722,
0.02905924618244171,
-0.03665291890501976,
-0.031181886792182922,
0.0044209216721355915,
0.046578504145145416,
0.0052767046727240086,
-0.006857473868876696,
-0.036264266818761826,
0.051690779626369476,
0.009305236861109734,
-0.04000130668282509,
0.012989961542189121,
0.04669808968901634,
0.00899879913777113,
-0.009305236861109734,
-0.03835700824856758,
-0.016084233298897743,
0.021794434636831284,
0.0021301144734025,
-0.045352753251791,
-0.039582759141922,
-0.053484559059143066,
-0.05892569571733475,
-0.054770100861787796,
-0.05157119408249855,
-0.06128750368952751,
0.0027579376474022865,
-0.00460777385160327,
-0.01227244921028614,
-0.03384266048669815,
0.05219901725649834,
0.07940468937158585,
-0.017414620146155357,
0.09226011484861374,
-0.0013976540649309754,
-0.009223022498190403,
-0.04598057642579079,
0.009372503496706486,
-0.028416475281119347,
-0.029552536085247993,
0.0008641912136226892,
0.0393734835088253,
0.007855264469981194,
0.03988172486424446,
0.024021713063120842,
0.004301336593925953,
-0.03907452151179314,
0.033872559666633606,
0.008535406552255154,
-0.0421239472925663,
-0.0034156572073698044,
-0.007631042040884495,
-0.007750627119094133,
0.0016349563375115395,
-0.007178859785199165,
-0.015904854983091354,
-0.0164579376578331,
0.007907583378255367,
-0.00029499284573830664,
0.011457773856818676,
0.011465247720479965,
0.02983655221760273,
-0.0492691732943058,
0.01062067598104477,
-0.03246742859482765,
0.00012705946573987603,
-0.00030760533991269767,
0.007937479764223099,
0.03255711868405342,
0.029223676770925522,
0.009686415083706379,
-0.04242291301488876,
0.04382804036140442,
0.03145095333456993,
-0.004353655036538839,
-0.0141559187322855,
-0.02659279853105545,
-0.00141820777207613,
-0.027669066563248634,
-0.001276200171560049,
0.0550391711294651,
-0.01551620289683342,
0.030329840257763863,
-0.036832295358181,
0.011936115100979805,
-0.013737370260059834,
0.03656322881579399,
0.023244407027959824,
-0.017429567873477936,
-0.011749262921512127,
-0.022556791082024574,
-0.02780359983444214,
-0.02079290710389614,
0.010164757259190083,
-0.03309525176882744,
-0.014380141161382198,
-0.03620447218418121,
-0.014208237640559673,
-0.04714653640985489,
-0.012788161635398865,
-0.03240763768553734,
-0.07109350711107254,
0.024694379419088364,
-0.00752266775816679,
-0.020508892834186554,
0.05982258543372154,
-0.027818547561764717,
0.01299743540585041,
-0.0096714673563838,
-0.00007497442857129499,
0.034321002662181854,
0.025710856541991234,
-0.005302864126861095,
0.011786634102463722,
0.00014854746405035257,
-0.004260228946805,
0.017190398648381233,
0.03530758246779442,
-0.025591270998120308,
-0.02813245914876461,
0.0139316963031888,
0.048043426126241684,
0.03563644364476204,
0.015531150624155998,
-0.03375297412276268,
-0.026547953486442566,
0.023468630388379097,
0.00941734854131937,
-0.0069770594127476215,
0.006139961536973715,
-0.03949306905269623,
0.016562575474381447,
-0.057161811739206314,
0.0269366055727005,
0.00505248224362731,
-0.019327986985445023,
0.005769994575530291,
-0.03417152166366577,
-0.020777959376573563,
0.05184026062488556,
0.06876159459352493,
-0.035247791558504105,
0.04305073618888855,
0.04783415049314499,
0.012302345596253872,
-0.001757344463840127,
-0.03447048366069794,
0.013707473874092102,
0.008811947889626026,
0.03258701413869858,
-0.030329840257763863,
-0.037818875163793564,
-0.029537588357925415,
0.024933550506830215,
0.049149591475725174,
-0.005231860093772411,
-0.028252044692635536,
-0.002341257408261299,
-0.006838788744062185,
0.027220621705055237,
0.016129078343510628,
-0.0485815592110157,
0.03240763768553734,
-0.03964255377650261,
0.02325935661792755,
-0.022048553451895714,
-0.03249732777476311,
-0.0040023731999099255,
-0.002401050180196762,
0.052647460252046585,
-0.030793234705924988,
0.011599781922996044,
-0.012601309455931187,
-0.04780425503849983,
0.06248335912823677,
-0.06278232485055923,
0.016084233298897743,
0.005799890961498022,
0.026144353672862053,
0.0434991791844368,
0.008834369480609894,
0.0022852018009871244,
0.030882922932505608,
-0.014821112155914307,
-0.03231794759631157,
-0.007870212197303772,
0.034321002662181854,
0.04917948693037033,
-0.008968903683125973,
-0.046010471880435944,
-0.007989797741174698,
0.044635239988565445,
0.012055700644850731,
-0.0014742634957656264,
0.0333942174911499,
-0.03204888105392456,
-0.02234751731157303,
-0.027504635974764824,
0.005893317051231861,
-0.0014051281614229083,
0.012922694906592369,
-0.012556464411318302,
-0.010725313797593117,
-0.06523381918668747,
0.07246873527765274,
-0.013483251444995403,
-0.012638679705560207,
0.016816694289445877,
0.0040360065177083015,
0.016218766570091248,
0.01799759827554226,
0.044037315994501114,
0.012623731046915054,
-0.010964483954012394,
-0.04260228946805,
-0.035158101469278336,
0.003387629520148039,
-0.010590779595077038,
0.028491215780377388,
0.03698177635669708,
0.012646153569221497,
0.01107659563422203,
-0.01680174469947815,
0.033125150948762894,
0.0013500067871063948,
-0.028760282322764397,
-0.049747515469789505,
0.03686219081282616,
-0.0037818874698132277,
0.013117020949721336,
-0.011794107966125011,
-0.015179868787527084,
0.04580119997262955,
-0.01175673771649599,
-0.01018717885017395,
-0.06182564049959183,
-0.016472885385155678,
-0.09243949502706528,
0.015157446265220642,
-0.024828914552927017,
-0.029268521815538406,
-0.02351347543299198,
0.005609301384538412,
0.009155754931271076,
0.007219966966658831,
0.00784031581133604,
-0.03970234468579292,
0.04137653857469559,
0.027385050430893898,
0.00037533926661126316,
0.03970234468579292,
-0.06230398267507553,
-0.03450038284063339,
0.038386907428503036,
0.050674304366111755,
0.008333605714142323,
0.028446370735764503,
0.03841680288314819,
0.06077926605939865,
-0.006913529708981514,
-0.003860365366563201,
0.012713420204818249,
-0.0236031636595726,
0.009372503496706486,
-0.022571740671992302,
-0.03952296823263168,
-0.03151074796915054,
-0.060151442885398865,
-0.029298417270183563,
0.01849088817834854,
-0.029447898268699646,
0.0036268001422286034,
0.0012771344045177102,
-0.02592013031244278,
-0.029358210042119026,
0.0003111088299192488,
-0.03599519655108452,
-0.019417675212025642,
0.04448575899004936,
0.01535177230834961,
0.009955482557415962,
-0.06912034749984741,
0.264283686876297,
0.023677904158830643,
0.026727331802248955,
0.021286197006702423,
0.016413092613220215,
0.03910441696643829,
0.038327112793922424,
-0.05931434780359268,
-0.011412929743528366,
-0.034231312572956085,
-0.0010585174895823002,
-0.0037818874698132277,
0.010837424546480179,
0.011211128905415535,
0.03641374781727791,
0.025277359411120415,
-0.03539727255702019,
-0.008729732595384121,
0.004521822091192007,
0.011816529557108879,
-0.0545608289539814,
-0.016413092613220215,
0.011173758655786514,
-0.0027317784260958433,
-0.0007474086014553905,
-0.007324604317545891,
0.0007151766330935061,
-0.02421603910624981,
-0.03172001987695694,
-0.009544407948851585,
-0.03488903492689133,
0.0141036007553339,
0.023767594248056412,
0.020613528788089752,
-0.0005853143520653248,
0.0005647606449201703,
0.025561373680830002,
0.024784069508314133,
-0.008565302938222885,
-0.018311509862542152,
0.019731586799025536,
-0.0036996726412326097,
-0.03426121175289154,
0.00038888605195097625,
0.0055495090782642365,
0.04702695086598396,
-0.007922531105577946,
0.000061194077716209,
0.007238652091473341,
-0.057849425822496414,
0.009290289133787155,
-0.022646481171250343,
-0.020180031657218933,
-0.0015144366770982742,
-0.020493943244218826,
0.005381342023611069,
0.06648947298526764,
0.018087288364768028,
0.003531505586579442,
0.032347843050956726,
0.000831959187053144,
-0.009865793399512768,
0.009693889878690243,
0.056982431560754776,
-0.028072666376829147,
0.0029728177469223738,
-0.03997141122817993,
0.04469503462314606,
-0.03970234468579292,
0.03841680288314819,
0.007810419891029596,
-0.05542782321572304,
-0.017922857776284218,
-0.0028177304193377495,
0.05471030995249748,
-0.004764729645103216,
-0.022646481171250343,
0.04867124930024147,
-0.0018601131159812212,
0.00473109632730484,
0.013819584622979164,
0.023902127519249916,
0.023722749203443527,
0.0414363332092762,
0.00481704855337739,
0.051361918449401855,
0.00962662324309349,
-0.008931532502174377,
0.0032680442091077566,
-0.007675886154174805,
0.014955646358430386,
0.007683360483497381,
-0.012765739113092422,
-0.049478448927402496,
-0.011181232519447803
] |
1209_5 | where when i=n-1, then i+1 is expressed as modulus n and so refers to 0.
Rectangles
The most basic area formula is the formula for the area of a rectangle. Given a rectangle with length and width , the formula for the area is:
(rectangle).
That is, the area of the rectangle is the length multiplied by the width. As a special case, as in the case of a square, the area of a square with side length is given by the formula:
(square).
The formula for the area of a rectangle follows directly from the basic properties of area, and is sometimes taken as a definition or axiom. On the other hand, if geometry is developed before arithmetic, this formula can be used to define multiplication of real numbers.
Dissection, parallelograms, and triangles
Most other simple formulas for area follow from the method of dissection.
This involves cutting a shape into pieces, whose areas must sum to the area of the original shape.
For an example, any parallelogram can be subdivided into a trapezoid and a right triangle, as shown in figure to the left. If the triangle is moved to the other side of the trapezoid, then the resulting figure is a rectangle. It follows that the area of the parallelogram is the same as the area of the rectangle:
(parallelogram).
However, the same parallelogram can also be cut along a diagonal into two congruent triangles, as shown in the figure to the right. It follows that the area of each triangle is half the area of the parallelogram:
(triangle).
Similar arguments can be used to find area formulas for the trapezoid as well as more complicated polygons.
Area of curved shapes
Circles | [
-0.010112264193594456,
0.003897738642990589,
0.036573175340890884,
-0.027335168793797493,
-0.010731530375778675,
-0.030773920938372612,
0.08287976682186127,
-0.008589595556259155,
-0.010155976749956608,
0.11038978397846222,
0.05263039842247963,
0.01304103247821331,
-0.02501838281750679,
0.026752328500151634,
-0.0043020835146307945,
0.014243138022720814,
-0.018854854628443718,
-0.027335168793797493,
-0.05158128961920738,
0.015445244498550892,
-0.013128457590937614,
0.020151672884821892,
-0.04033248871564865,
-0.06044044718146324,
-0.0070159295573830605,
0.04551975801587105,
0.06516144424676895,
-0.01853429339826107,
0.04578203707933426,
0.05851707607507706,
-0.025251517072319984,
-0.008356460370123386,
0.0069977156817913055,
-0.02794715017080307,
-0.0203702375292778,
0.008086896501481533,
0.02729145623743534,
-0.04744312912225723,
0.0037301722913980484,
-0.0391959510743618,
0.027932578697800636,
0.010083122178912163,
0.0047027855180203915,
-0.012042919173836708,
-0.0039815218187868595,
-0.010957380756735802,
-0.005638971459120512,
-0.012902607209980488,
-0.003773885313421488,
-0.007292778231203556,
-0.017558038234710693,
-0.031997885555028915,
0.014789550565183163,
-0.030307650566101074,
-0.012917178682982922,
-0.01283703837543726,
0.014993543736636639,
-0.03569891303777695,
-0.04251813516020775,
0.04024506360292435,
0.01827201619744301,
-0.028835980221629143,
-0.00877173338085413,
-0.04557804390788078,
-0.01831572875380516,
-0.000009057062925421633,
-0.019291983917355537,
0.0007267278851941228,
0.0444706492125988,
-0.042284999042749405,
-0.000792297360021621,
0.01662549376487732,
0.0018541578901931643,
0.000008445194907835685,
0.0016738419653847814,
0.01974368467926979,
0.017266618087887764,
-0.022774450480937958,
-0.034737229347229004,
0.03432924300432205,
-0.007172567769885063,
0.01366029866039753,
-0.035290926694869995,
0.06079015135765076,
-0.0035862838849425316,
-0.01940855197608471,
-0.01894228160381317,
0.023896416649222374,
-0.0077080512419342995,
-0.019933108240365982,
0.00552240340039134,
0.0032657221890985966,
0.023750705644488335,
0.044703785330057144,
0.0070669278502464294,
0.03409610688686371,
-0.012669472023844719,
0.024814387783408165,
0.037593141198158264,
-0.0012066597118973732,
0.06084843724966049,
0.06650197505950928,
-0.030599068850278854,
0.054553769528865814,
-0.04347982257604599,
0.014578270725905895,
-0.025105807930231094,
0.021113358438014984,
-0.011219658888876438,
-0.03109448216855526,
0.02992880344390869,
-0.022803591564297676,
0.02241017483174801,
0.004134517163038254,
-0.019845683127641678,
0.008210750296711922,
-0.00912143662571907,
0.008596881292760372,
-0.004629930481314659,
0.0016273969085887074,
-0.01567837968468666,
0.009463855065405369,
-0.00022858232841826975,
0.011897210031747818,
-0.04977448657155037,
-0.0020417594350874424,
-0.015270392410457134,
0.038846246898174286,
-0.04852138087153435,
-0.017456039786338806,
-0.0053038387559354305,
-0.02303672768175602,
-0.030715636909008026,
0.0025317086838185787,
0.009755275212228298,
0.015809519216418266,
-0.053388092666864395,
0.06609398871660233,
0.029185684397816658,
0.0010491108987480402,
0.0158240906894207,
-0.027204029262065887,
-0.024377258494496346,
0.055952586233615875,
0.01798059605062008,
0.003744743298739195,
0.011962778866291046,
0.015139253810048103,
-0.026606619358062744,
-0.03622347116470337,
0.0053329807706177235,
-0.008072325959801674,
-0.044004376977682114,
0.008283604867756367,
-0.01611551083624363,
-0.0297830943018198,
-0.011671359650790691,
-0.010578535497188568,
-0.07262179255485535,
-0.012210485525429249,
0.02376527711749077,
-0.06189754605293274,
0.019656259566545486,
0.053562942892313004,
-0.05417492240667343,
0.0775759294629097,
-0.06725966930389404,
-0.04578203707933426,
-0.0017512503545731306,
-0.003052621381357312,
0.010578535497188568,
0.003606318961828947,
-0.017747459933161736,
-0.022585026919841766,
0.02794715017080307,
0.04834653064608574,
0.008028613403439522,
-0.048288244754076004,
-0.004888565745204687,
0.019568834453821182,
-0.008269034326076508,
-0.023750705644488335,
0.04971620440483093,
0.044120945036411285,
0.008713449351489544,
0.016975197941064835,
-0.03403782099485397,
-0.02992880344390869,
0.014906118623912334,
0.008793589659035206,
0.05778852850198746,
0.006513230502605438,
-0.05321323871612549,
0.038438260555267334,
-0.01819916069507599,
0.003657317254692316,
-0.04802596941590309,
0.022643310949206352,
-0.04945392534136772,
-0.055253177881240845,
-0.03065735287964344,
0.0004280227003619075,
0.010979237966239452,
-0.0026573834475129843,
-0.06690996885299683,
-0.012662186287343502,
0.02226446568965912,
0.029987087473273277,
-0.023910988122224808,
0.0050743455067276955,
-0.0012476405827328563,
-0.042838696390390396,
-0.022628741338849068,
0.019860252737998962,
-0.005864821840077639,
0.004378580953925848,
-0.015008115209639072,
0.011030236259102821,
0.00040798759437166154,
0.031152766197919846,
0.0063347360119223595,
0.04534490779042244,
-0.0407404750585556,
0.06877505034208298,
0.013361593708395958,
-0.0010764315957203507,
-0.007518628612160683,
0.045840319246053696,
-0.005544260144233704,
0.07582741230726242,
0.008065040223300457,
0.0444706492125988,
0.02428983338177204,
-0.013150314800441265,
0.044004376977682114,
-0.0033713618759065866,
0.0013833328848704696,
0.026781471446156502,
0.003010729793459177,
0.023604996502399445,
-0.005405835807323456,
0.05907077342271805,
0.06825049966573715,
-0.02226446568965912,
0.041847869753837585,
0.03977879136800766,
0.01387886330485344,
0.02695632353425026,
0.0021346493158489466,
0.031298477202653885,
-0.03823426738381386,
0.05936219543218613,
0.015241250395774841,
-0.015124683268368244,
0.0014115641824901104,
-0.006622512824833393,
0.00662979856133461,
0.047268275171518326,
-0.05542802810668945,
-0.04473292455077171,
-0.0076570529490709305,
0.0030307648703455925,
0.04458721727132797,
0.015270392410457134,
0.0012084811460226774,
0.0019270128104835749,
0.07477829605340958,
-0.04959963634610176,
-0.03339669853448868,
-0.0008496706141158938,
-0.07058185338973999,
-0.031735606491565704,
-0.054816048592329025,
-0.011605789884924889,
-0.019831111654639244,
-0.02707289159297943,
-0.016581781208515167,
-0.010928238742053509,
0.01962711662054062,
-0.012567475438117981,
-0.034416668117046356,
-0.0192337017506361,
-0.07553599029779434,
0.025149520486593246,
-0.013485447503626347,
0.01575123518705368,
-0.02252674289047718,
0.03631089627742767,
-0.0049432069063186646,
0.011154089123010635,
-0.038030270487070084,
0.006094314623624086,
0.03902110084891319,
-0.012669472023844719,
-0.014090143144130707,
-0.015867803245782852,
0.03511607646942139,
0.002360499696806073,
0.039691366255283356,
-0.04694771394133568,
-0.06947445869445801,
-0.04076961800456047,
0.011671359650790691,
0.006873862352222204,
-0.01009040791541338,
0.03494122251868248,
-0.004659072495996952,
-0.013725868426263332,
0.00598867516964674,
0.013521874323487282,
-0.023721564561128616,
0.010163262486457825,
0.00483392458409071,
-0.00671358173713088,
-0.03966222330927849,
-0.008728019893169403,
0.0021692554000765085,
0.01451998669654131,
-0.00011264054774073884,
-0.03476637229323387,
0.03290128707885742,
-0.002650097943842411,
-0.01027254480868578,
0.00006813074287492782,
0.0005741878994740546,
0.03196874260902405,
-0.006739080883562565,
-0.07040700316429138,
-0.0022512173745781183,
-0.016581781208515167,
-0.02308044023811817,
-0.007259993348270655,
-0.002788522280752659,
0.0444706492125988,
0.0018068022327497602,
-0.023940129205584526,
0.015212109312415123,
-0.0252369474619627,
0.002988873515278101,
-0.035582344979047775,
0.039866216480731964,
-0.08072326332330704,
0.039720505475997925,
0.010600391775369644,
0.01245090737938881,
-0.003254793817177415,
-0.007172567769885063,
0.020268240943551064,
-0.024785246700048447,
0.004425936844199896,
-0.006505945231765509,
0.026650331914424896,
0.0010035766754299402,
0.03269729018211365,
0.04251813516020775,
0.011583933606743813,
-0.03150247037410736,
0.0070159295573830605,
-0.01025797426700592,
0.021914761513471603,
0.012370767071843147,
0.0015108290826901793,
-0.021157070994377136,
-0.02549922466278076,
-0.025470083579421043,
-0.06749280542135239,
-0.007984899915754795,
0.02025366947054863,
0.015386960469186306,
-0.04079876095056534,
0.02359042502939701,
0.004076233133673668,
0.0036500319838523865,
-0.024362687021493912,
0.031298477202653885,
0.023357288911938667,
0.061955831944942474,
0.0008751698187552392,
0.01596979983150959,
-0.026460910215973854,
-0.01116866059601307,
0.030773920938372612,
-0.025149520486593246,
0.03170646354556084,
0.029987087473273277,
0.018519721925258636,
-0.010840813629329205,
-0.054378919303417206,
-0.009201576933264732,
-0.0421975739300251,
-0.04473292455077171,
-0.020603373646736145,
-0.01930655539035797,
-0.034591518342494965,
-0.017864027991890907,
-0.008713449351489544,
-0.0005468673189170659,
0.02461039461195469,
0.022060472518205643,
-0.005689969751983881,
0.006301951128989458,
0.02925853803753853,
0.046423159539699554,
0.040011927485466,
-0.00672086700797081,
0.0034150746650993824,
-0.03925423324108124,
0.05230983719229698,
-0.029200255870819092,
-0.01875285804271698,
-0.01812630519270897,
-0.034708086401224136,
0.010644105263054371,
-0.03266815096139908,
0.0046335733495652676,
0.03304699435830116,
-0.04458721727132797,
-0.0035789983812719584,
-0.05735139921307564,
0.01758717931807041,
-0.0017139121191576123,
-0.046248309314250946,
0.028850551694631577,
0.010571249760687351,
0.017266618087887764,
-0.05845879390835762,
-0.017558038234710693,
-0.051843564957380295,
0.012086632661521435,
0.03835083544254303,
-0.038292549550533295,
-0.031298477202653885,
-0.018403153866529465,
-0.0384674035012722,
-0.0033039709087461233,
0.005846607964485884,
-0.005660827737301588,
-0.025411799550056458,
-0.002101864665746689,
-0.03925423324108124,
-0.040157634764909744,
0.008851873688399792,
-0.0143014220520854,
-0.033163562417030334,
-0.01150379329919815,
0.010986522771418095,
-0.00028686627047136426,
0.049687061458826065,
-0.018009738996624947,
0.014869690872728825,
-0.0016009870450943708,
-0.03491207957267761,
-0.007019572425633669,
-0.007482200860977173,
0.024916384369134903,
-0.01846143789589405,
-0.017091765999794006,
-0.005977747030556202,
0.024085838347673416,
-0.03263900801539421,
-0.013638442382216454,
0.0014407061971724033,
-0.029695669189095497,
-0.009289002977311611,
-0.037564001977443695,
0.0482008196413517,
-0.010527537204325199,
0.014672982506453991,
0.05388350412249565,
0.008895586244761944,
-0.024348117411136627,
-0.02354671247303486,
0.010170548222959042,
-0.04126502946019173,
0.017091765999794006,
-0.057263974100351334,
-0.01239990908652544,
-0.01669834926724434,
-0.02622777409851551,
-0.03835083544254303,
0.0021583272609859705,
-0.010848098434507847,
-0.025076666846871376,
0.002231182064861059,
0.0015108290826901793,
-0.013179456815123558,
-0.0076279109343886375,
-0.00035744448541663587,
-0.006185383535921574,
0.016975197941064835,
-0.006862934213131666,
-0.016232077032327652,
0.03966222330927849,
-0.04047819599509239,
0.04202272370457649,
-0.022147897630929947,
0.01214491669088602,
0.0027812367770820856,
-0.0016465213848277926,
0.0004478301270864904,
0.06673511117696762,
0.05915820226073265,
0.009573137387633324,
-0.012771468609571457,
-0.0043202973902225494,
0.024843530729413033,
-0.0018505151383578777,
-0.01955426298081875,
-0.0070268576964735985,
0.009136008098721504,
-0.028617415577173233,
0.047122567892074585,
-0.01180978398770094,
-0.02710203267633915,
0.04744312912225723,
0.07541941851377487,
0.037272579967975616,
0.009689705446362495,
-0.021521344780921936,
0.0806649774312973,
-0.014133855700492859,
-0.046714577823877335,
0.004444150719791651,
0.04009935259819031,
-0.03566977381706238,
-0.004728284664452076,
-0.02911282889544964,
-0.014126570895314217,
-0.02574693225324154,
-0.04021592065691948,
0.007055999711155891,
-0.04849223792552948,
-0.0624803863465786,
-0.026868896558880806,
-0.06044044718146324,
-0.000541858549695462,
0.010520251467823982,
0.00855316873639822,
-0.053970929235219955,
-0.006363878026604652,
-0.06714309751987457,
0.02831142395734787,
-0.0018323013791814446,
0.028733983635902405,
-0.010338114574551582,
0.022905590012669563,
0.01113223284482956,
-0.0001532230235170573,
0.009806273505091667,
-0.0100029818713665,
0.058983348309993744,
0.0014643840258941054,
0.05035732686519623,
0.0031837604474276304,
-0.010527537204325199,
-0.035028647631406784,
0.010381827130913734,
0.000570545147638768,
0.016902342438697815,
0.049424782395362854,
-0.006017817184329033,
0.03794284537434578,
-0.006422162055969238,
0.015794947743415833,
0.045140914618968964,
0.002109150169417262,
0.016654636710882187,
-0.045140914618968964,
-0.0014297779416665435,
0.019583404064178467,
-0.04004106670618057,
-0.018709145486354828,
-0.022861875593662262,
0.008611452765762806,
-0.022395605221390724,
-0.05504918470978737,
-0.0331927053630352,
0.009041296318173409,
-0.06463689357042313,
0.034445811063051224,
-0.006618869956582785,
0.02204590104520321,
-0.07332120090723038,
-0.02952081710100174,
0.064753457903862,
0.002890519332140684,
0.02794715017080307,
0.07285492867231369,
0.0557485893368721,
0.026417197659611702,
-0.016756633296608925,
-0.008647879585623741,
-0.00021218997426331043,
-0.02190019190311432,
0.036718882620334625,
-0.003988807089626789,
-0.05475776270031929,
0.018140876665711403,
-0.006819221191108227,
-0.0443832203745842,
-0.026868896558880806,
0.04362552985548973,
0.009966554120182991,
-0.022293608635663986,
0.003857668489217758,
-0.036281753331422806,
-0.04688943177461624,
-0.016756633296608925,
0.015518100000917912,
0.042838696390390396,
0.006360235158354044,
-0.004094447009265423,
-0.010600391775369644,
0.0012103024637326598,
0.009048582054674625,
0.024144122377038002,
-0.015809519216418266,
0.009864557534456253,
0.027641160413622856,
-0.0024770675227046013,
-0.045286621898412704,
0.01776203140616417,
-0.004229228477925062,
-0.019656259566545486,
-0.011328941211104393,
0.03788456320762634,
0.009289002977311611,
-0.011401795782148838,
-0.0252369474619627,
0.015576383098959923,
0.032435014843940735,
-0.025688648223876953,
0.030715636909008026,
0.010083122178912163,
0.017091765999794006,
0.000996291171759367,
-0.0016610923921689391,
0.031852174550294876,
-0.009492997080087662,
0.031123625114560127,
0.013296023942530155,
0.0029160184785723686,
-0.012625758536159992,
-0.02417326532304287,
-0.04152730852365494,
0.0013532802695408463,
-0.005026990082114935,
0.024144122377038002,
-0.016057226806879044,
0.011219658888876438,
0.013951718807220459,
0.02753916196525097,
0.04753055423498154,
-0.017062624916434288,
-0.005147200543433428,
0.04024506360292435,
0.03540749475359917,
-0.04863794893026352,
0.03651488944888115,
0.049687061458826065,
0.01197735033929348,
0.015343247912824154,
-0.02080736681818962,
-0.06230553239583969,
-0.0009229808347299695,
0.013667584396898746,
-0.034008681774139404,
-0.031560756266117096,
-0.041993580758571625,
-0.05790509656071663,
-0.03593204915523529,
-0.05959533154964447,
0.006742723751813173,
0.05295095965266228,
0.029608242213726044,
-0.020166244357824326,
0.018825713545084,
0.002475246088579297,
0.04033248871564865,
-0.018825713545084,
0.05851707607507706,
-0.010600391775369644,
-0.01783488690853119,
-0.00436765281483531,
-0.020647086203098297,
-0.022439317777752876,
-0.018184589222073555,
-0.009041296318173409,
0.01518296729773283,
-0.033862970769405365,
0.007085141725838184,
0.011613075621426105,
0.014447132125496864,
-0.030744779855012894,
0.021142499521374702,
-0.01382786501199007,
-0.04082790017127991,
-0.017237475141882896,
0.026694046333432198,
-0.02051594853401184,
0.022847305983304977,
-0.016858629882335663,
0.007055999711155891,
-0.020384809002280235,
-0.02472696267068386,
-0.02802000567317009,
-0.019903965294361115,
0.028661128133535385,
0.027888866141438484,
-0.03674802556633949,
0.007176210172474384,
-0.025907212868332863,
-0.008946585468947887,
-0.022104185074567795,
-0.014796835370361805,
-0.010724245570600033,
0.03226016089320183,
0.02165248431265354,
-0.016130080446600914,
0.03532006964087486,
0.04662715271115303,
-0.03995364159345627,
-0.016508925706148148,
-0.0297830943018198,
-0.00920886266976595,
-0.02308044023811817,
0.04989105463027954,
0.054408058524131775,
-0.0069467173889279366,
0.030686495825648308,
-0.02835513837635517,
-0.021040502935647964,
-0.00428386963903904,
0.018286587670445442,
0.01553267054259777,
-0.03106534108519554,
-0.0297830943018198,
0.01817001961171627,
0.04718085005879402,
-0.02758287638425827,
0.016975197941064835,
-0.005526046268641949,
-0.02753916196525097,
0.005183628294616938,
-0.01713547855615616,
-0.04651058465242386,
-0.012465477921068668,
-0.051668714731931686,
-0.06428718566894531,
0.01846143789589405,
-0.014512701891362667,
0.00393780879676342,
0.041993580758571625,
-0.020705370232462883,
0.007802762556821108,
-0.028398850932717323,
0.017558038234710693,
-0.006272809114307165,
0.012851608917117119,
-0.0050743455067276955,
0.028005434200167656,
-0.04289698228240013,
-0.008188894018530846,
0.04164387658238411,
0.05286353453993797,
-0.04359638690948486,
-0.06452032178640366,
0.021594200283288956,
0.0361069031059742,
0.03581548109650612,
-0.03193959966301918,
-0.0030908703338354826,
-0.030307650566101074,
-0.0031619039364159107,
0.0002447470324113965,
0.027408024296164513,
0.01585323177278042,
-0.04403351992368698,
-0.002207504352554679,
-0.04735570400953293,
-0.0052637686021625996,
-0.008968441747128963,
-0.0036482105497270823,
0.00736199039965868,
-0.021623343229293823,
-0.041847869753837585,
0.0626552402973175,
0.0722138062119484,
-0.017048053443431854,
0.07885817438364029,
0.05091102421283722,
0.005179985426366329,
-0.00770076597109437,
-0.029069116339087486,
0.002253038575872779,
0.01911713369190693,
0.0312401931732893,
-0.029287680983543396,
-0.025076666846871376,
-0.028122002258896828,
0.024144122377038002,
0.048550523817539215,
-0.009871842339634895,
-0.010935524478554726,
-0.028398850932717323,
0.03549491986632347,
0.022293608635663986,
0.04202272370457649,
-0.014162997715175152,
0.023065870627760887,
-0.048404812812805176,
0.014192139729857445,
0.008276320062577724,
-0.009551281109452248,
-0.016465213149785995,
-0.013806008733808994,
0.06347121298313141,
-0.020894793793559074,
-0.015386960469186306,
-0.02150677517056465,
-0.00483392458409071,
0.06591913849115372,
-0.03494122251868248,
-0.011183231137692928,
-0.005606186576187611,
0.05904163420200348,
0.014097428880631924,
0.026621190831065178,
0.010614963248372078,
-0.0014033680781722069,
0.02201675996184349,
-0.006684439722448587,
0.0028868764638900757,
0.04240156710147858,
0.037418290972709656,
0.041002754122018814,
-0.04336325451731682,
-0.053679510951042175,
0.02966652624309063,
-0.01688777282834053,
0.01044011116027832,
0.0443832203745842,
-0.05443720147013664,
-0.0014926153235137463,
-0.038846246898174286,
0.0010782529134303331,
-0.030773920938372612,
0.032726433128118515,
0.018621720373630524,
-0.019874824211001396,
-0.05236812308430672,
0.1054939329624176,
0.012851608917117119,
-0.015794947743415833,
0.02278902195394039,
0.01875285804271698,
0.06084843724966049,
0.04808425158262253,
0.009471140801906586,
0.016785774379968643,
0.025295231491327286,
-0.03505779057741165,
-0.026679474860429764,
-0.0013314237585291266,
-0.01780574396252632,
0.027189459651708603,
0.0066880821250379086,
0.010600391775369644,
0.0009944697376340628,
-0.0009106866200454533,
-0.00838560238480568,
-0.010848098434507847,
-0.021885620430111885,
-0.020749082788825035,
0.03948736935853958,
-0.013383449986577034,
-0.01655264012515545,
0.011161374859511852,
0.001216677250340581,
0.02886512316763401,
-0.012560189701616764,
-0.029899662360548973,
-0.05245554819703102,
-0.009019440039992332,
-0.06463689357042313,
0.05487433075904846,
-0.01554724108427763,
-0.01511011179536581,
-0.017004340887069702,
-0.0010937346378341317,
0.006892076227813959,
0.009492997080087662,
-0.0020745440851897,
-0.05088188126683235,
0.02245388925075531,
0.046976856887340546,
-0.03532006964087486,
0.026796042919158936,
-0.051202442497015,
-0.033600691705942154,
0.0451991967856884,
0.027087461203336716,
-0.016071796417236328,
0.054961755871772766,
0.06487002968788147,
0.0339212529361248,
0.004170944448560476,
0.006742723751813173,
0.030686495825648308,
-0.0021401133853942156,
0.03409610688686371,
0.005271053873002529,
0.010199690237641335,
-0.03220187872648239,
-0.01532867643982172,
0.012407193891704082,
0.017295759171247482,
-0.034562379121780396,
0.006258238106966019,
-0.04482034966349602,
-0.04149816557765007,
-0.039574798196554184,
0.03651488944888115,
-0.038409117609262466,
0.027976293116807938,
-0.019321126863360405,
0.0033403984270989895,
0.0024734248872846365,
-0.06055701524019241,
0.2503878176212311,
0.045257482677698135,
-0.0076570529490709305,
0.050532177090644836,
0.017339473590254784,
0.03479551523923874,
0.0027648445684462786,
-0.03260986506938934,
-0.025644933804869652,
0.0008806339465081692,
0.015080969780683517,
0.00023859988141339272,
0.02410040982067585,
0.023575855419039726,
0.050124190747737885,
-0.003821240970864892,
-0.031444188207387924,
-0.015940658748149872,
-0.004779283422976732,
-0.02248303033411503,
-0.059245627373456955,
0.01322316937148571,
0.01626121997833252,
0.01952512003481388,
0.009463855065405369,
-0.0022985730320215225,
0.04103189706802368,
-0.03223102167248726,
-0.016538068652153015,
-0.06382091343402863,
0.0007581465761177242,
-0.0011028414592146873,
0.01790774054825306,
0.010498395189642906,
0.01087724044919014,
0.006903004366904497,
-0.007139782886952162,
-0.028340566903352737,
-0.03878796473145485,
-0.03689373657107353,
0.002673775888979435,
0.031181909143924713,
-0.003923237789422274,
-0.01382786501199007,
-0.011365368962287903,
0.05245554819703102,
-0.04079876095056534,
0.021769052371382713,
-0.014279565773904324,
-0.06731795519590378,
0.04619002342224121,
0.007041428703814745,
-0.017426898702979088,
-0.008086896501481533,
-0.02864655666053295,
-0.010716959834098816,
0.023648709058761597,
0.014898832887411118,
0.02487267181277275,
0.05490347370505333,
0.015080969780683517,
0.015343247912824154,
0.01258204597979784,
0.01245090737938881,
-0.045140914618968964,
-0.004742855671793222,
-0.00011571411596378312,
0.05449548736214638,
0.0019488693214952946,
0.0263734832406044,
-0.015809519216418266,
-0.02490181475877762,
0.010629533790051937,
0.0011747856624424458,
0.07763420790433884,
0.01780574396252632,
-0.05018247291445732,
0.031881317496299744,
0.007766335271298885,
0.0006046958733350039,
-0.002895983401685953,
-0.01104480680078268,
0.021739911288022995,
0.05877935513854027,
0.02241017483174801,
0.07623539865016937,
-0.0063238078728318214,
-0.005442263092845678,
0.03094877302646637,
0.0020581516437232494,
0.020355666056275368,
0.05196013301610947,
-0.005358479917049408,
-0.016800345852971077,
-0.02241017483174801
] |
1209_6 | Area of curved shapes
Circles
The formula for the area of a circle (more properly called the area enclosed by a circle or the area of a disk) is based on a similar method. Given a circle of radius , it is possible to partition the circle into sectors, as shown in the figure to the right. Each sector is approximately triangular in shape, and the sectors can be rearranged to form an approximate parallelogram. The height of this parallelogram is , and the width is half the circumference of the circle, or . Thus, the total area of the circle is :
(circle).
Though the dissection used in this formula is only approximate, the error becomes smaller and smaller as the circle is partitioned into more and more sectors. The limit of the areas of the approximate parallelograms is exactly , which is the area of the circle.
This argument is actually a simple application of the ideas of calculus. In ancient times, the method of exhaustion was used in a similar way to find the area of the circle, and this method is now recognized as a precursor to integral calculus. Using modern methods, the area of a circle can be computed using a definite integral:
Ellipses
The formula for the area enclosed by an ellipse is related to the formula of a circle; for an ellipse with semi-major and semi-minor axes and the formula is:
Surface area
Most basic formulas for surface area can be obtained by cutting surfaces and flattening them out. For example, if the side surface of a cylinder (or any prism) is cut lengthwise, the surface can be flattened out into a rectangle. Similarly, if a cut is made along the side of a cone, the side surface can be flattened out into a sector of a circle, and the resulting area computed.
The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is:
(sphere),
where is the radius of the sphere. As with the formula for the area of a circle, any derivation of this formula inherently uses methods similar to calculus.
General formulas | [
-0.028240885585546494,
0.020920777693390846,
0.057781197130680084,
-0.0419570617377758,
-0.003710586577653885,
0.017527829855680466,
0.05630851164460182,
-0.01464021299034357,
0.023591823875904083,
0.07940944284200668,
0.0774458646774292,
-0.00785431545227766,
-0.031128501519560814,
0.004226747900247574,
-0.03436262905597687,
0.03730800002813339,
0.006540450267493725,
-0.02177262492477894,
-0.053016629070043564,
0.0027612827252596617,
0.022335710003972054,
0.01339853834360838,
-0.030146710574626923,
-0.07086209952831268,
-0.007630525156855583,
0.01837967522442341,
0.04845419526100159,
-0.031359508633613586,
0.06554888188838959,
0.05734805390238762,
-0.06751246005296707,
0.017138000577688217,
-0.012857110239565372,
-0.04383401200175285,
-0.026753762736916542,
-0.01432979479432106,
-0.0035986914299428463,
-0.04894509166479111,
0.015232174657285213,
-0.04262121394276619,
0.058012206107378006,
0.023057613521814346,
0.02915048412978649,
-0.030839739367365837,
0.032399050891399384,
0.009471380151808262,
0.01861068606376648,
-0.007190163712948561,
0.01048926543444395,
-0.006424945779144764,
-0.00713241146877408,
-0.016257278621196747,
0.01352126244455576,
-0.022797727957367897,
-0.020083369687199593,
-0.018899446353316307,
0.012380653992295265,
-0.028471894562244415,
-0.02701364830136299,
0.023923898115754128,
0.008244143798947334,
-0.0021801500115543604,
-0.03245680406689644,
-0.03245680406689644,
0.009117648005485535,
0.041928183287382126,
-0.05033114552497864,
-0.03785664588212967,
0.024169346317648888,
-0.06843650341033936,
-0.021325044333934784,
0.009745704010128975,
0.006464650388807058,
-0.02789437025785446,
-0.012597224675118923,
-0.01697918213903904,
0.0012822819408029318,
-0.022407900542020798,
-0.009153743274509907,
-0.0018607075326144695,
0.002144054975360632,
0.027735551819205284,
-0.053247638046741486,
0.06456709653139114,
-0.0009465966140851378,
-0.017513390630483627,
0.01570863090455532,
0.02980019710958004,
0.04158167168498039,
-0.015145545825362206,
0.005280727986246347,
0.01583857461810112,
0.007486144546419382,
0.010178846307098866,
0.00044374537537805736,
0.03430487960577011,
0.0014104199362918735,
0.023721765726804733,
0.007717153988778591,
-0.013311909511685371,
0.06144846975803375,
0.06023567169904709,
-0.02776442840695381,
0.050360023975372314,
-0.06641516834497452,
0.034651391208171844,
-0.044815801084041595,
0.05246798321604729,
-0.002642168663442135,
-0.015362117439508438,
0.01553537417203188,
-0.037423502653837204,
0.03456476330757141,
-0.01784546673297882,
0.010669740848243237,
0.00904545746743679,
-0.010539798066020012,
-0.008345209993422031,
0.011398863978683949,
-0.006085650995373726,
-0.033900611102581024,
0.010063341818749905,
-0.018307486549019814,
0.007493363693356514,
-0.027836618945002556,
-0.011622654274106026,
-0.011406083591282368,
0.027100276201963425,
-0.029323739930987358,
-0.007839877158403397,
0.005973755847662687,
-0.034276001155376434,
-0.027374599128961563,
-0.016271715983748436,
0.0286884643137455,
0.034131620079278946,
0.00647186953574419,
0.0672236979007721,
0.050100136548280716,
-0.036672722548246384,
-0.004132900387048721,
0.010619208216667175,
0.020776396617293358,
0.04926272854208946,
-0.0012479915749281645,
0.04163942486047745,
0.006663173902779818,
-0.017787715420126915,
-0.018899446353316307,
-0.014503051526844501,
0.011110102757811546,
-0.005703041795641184,
-0.023418566212058067,
-0.004945042543113232,
-0.017325695604085922,
-0.03193703293800354,
-0.03909832239151001,
0.009853989817202091,
0.0023804784286767244,
-0.023043176159262657,
0.018321923911571503,
-0.05191933736205101,
-0.0020321598276495934,
0.054864704608917236,
-0.014734060503542423,
0.04715476930141449,
-0.050100136548280716,
-0.04452703893184662,
-0.016300592571496964,
0.010525360703468323,
0.02213357761502266,
-0.0011144393356516957,
-0.00886498112231493,
-0.02087746374309063,
0.048742957413196564,
0.05769456923007965,
0.029973454773426056,
-0.07842765003442764,
-0.03257231041789055,
0.024559173732995987,
-0.026984771713614464,
-0.003212472889572382,
0.0314750149846077,
0.03970472142100334,
0.03003120608627796,
0.0018191981362178922,
-0.03118625283241272,
0.00647186953574419,
0.00713602127507329,
-0.005648898892104626,
0.04917610064148903,
0.019448094069957733,
-0.03843417018651962,
0.011052350513637066,
-0.04311210662126541,
-0.014784594066441059,
-0.03303432837128639,
0.03797215223312378,
-0.03104187175631523,
-0.037914399057626724,
-0.03260118514299393,
0.025699783116579056,
-0.018957199528813362,
0.011882539838552475,
-0.04703926667571068,
-0.03395836427807808,
0.035893067717552185,
0.013788366690278053,
-0.03144614025950432,
-0.001985236071050167,
0.025425458326935768,
-0.017498953267931938,
-0.016531601548194885,
-0.026060733944177628,
0.0002729699481278658,
0.027865495532751083,
-0.02086302638053894,
0.005147175397723913,
-0.017022496089339256,
-0.00499918544664979,
0.03381398320198059,
0.03167714923620224,
-0.06808998435735703,
0.0672236979007721,
-0.01862512342631817,
-0.01476293709129095,
-0.03880956023931503,
0.05056215822696686,
0.026132924482226372,
0.041292909532785416,
0.0012001653667539358,
0.04097527265548706,
0.011478274129331112,
-0.022234642878174782,
0.033756230026483536,
0.016271715983748436,
0.04097527265548706,
0.03436262905597687,
-0.016517164185643196,
0.02903497964143753,
0.020040055736899376,
0.05515346676111221,
0.02942480705678463,
-0.015564250759780407,
0.05189045891165733,
0.040195614099502563,
-0.006623469293117523,
0.03286106884479523,
0.012784919701516628,
0.06098645180463791,
-0.07011131942272186,
0.060293421149253845,
-0.02477574534714222,
-0.03984910249710083,
-0.008590657263994217,
0.0010124703403562307,
-0.012416749261319637,
0.01648828759789467,
-0.017556704580783844,
-0.07051558047533035,
0.00569221330806613,
0.01632946915924549,
0.07086209952831268,
0.01634390652179718,
-0.006988030858337879,
0.0295258741825819,
0.06964930146932602,
-0.030204463750123978,
0.001522315084002912,
0.005580318160355091,
-0.06982255727052689,
-0.02513669803738594,
-0.07271017134189606,
-0.0176144577562809,
-0.0005247339722700417,
-0.035257790237665176,
-0.024588050320744514,
-0.028269760310649872,
0.05241023004055023,
-0.019895674660801888,
-0.02364957518875599,
-0.008150296285748482,
-0.05365190654993057,
-0.013008709996938705,
-0.008337991312146187,
0.016141774132847786,
-0.023692889139056206,
0.02779330499470234,
-0.011969168670475483,
0.0025645638816058636,
-0.04735690355300903,
-0.016271715983748436,
0.03222579509019852,
-0.004865632858127356,
-0.0038116532377898693,
0.03081086277961731,
0.0334097184240818,
-0.012120768427848816,
0.051226306706666946,
-0.048483073711395264,
-0.054633695632219315,
-0.010084998793900013,
-0.05252573639154434,
0.00643938360735774,
-0.008893857710063457,
0.026753762736916542,
0.004959480371326208,
-0.013102557510137558,
0.026811514049768448,
-0.014531928114593029,
-0.015362117439508438,
0.01088631246238947,
-0.01822085678577423,
-0.02198919653892517,
-0.04698151350021362,
0.00465267151594162,
0.025497648864984512,
-0.0005734625156037509,
0.03179265186190605,
-0.02538214437663555,
0.010879093781113625,
-0.01758558116853237,
-0.030781986191868782,
0.0037178057245910168,
-0.02588747814297676,
0.04135066270828247,
0.003735853126272559,
-0.047068141400814056,
0.014531928114593029,
-0.017138000577688217,
-0.01634390652179718,
0.0020141121931374073,
-0.009218714199960232,
0.03869405388832092,
-0.011369988322257996,
-0.03612407669425011,
0.008258582092821598,
0.006764240562915802,
-0.010236598551273346,
-0.003365877317264676,
0.04712589457631111,
-0.08241256326436996,
0.038405291736125946,
-0.02312980405986309,
0.019693540409207344,
0.016055144369602203,
0.023793956264853477,
-0.012987053021788597,
-0.009601322934031487,
0.014488613232970238,
-0.029468121007084846,
-0.0020592312794178724,
-0.029338179156184196,
0.025829724967479706,
0.008994923904538155,
0.023534070700407028,
-0.026840390637516975,
0.0014573436928912997,
-0.056164130568504333,
0.027562294155359268,
0.0071432399563491344,
-0.03164827078580856,
0.0022072214633226395,
-0.01394718512892723,
-0.03999348357319832,
-0.02377951890230179,
0.013752271421253681,
-0.025324393063783646,
0.008843324147164822,
-0.018827255815267563,
-0.0060387272387743,
0.018264170736074448,
-0.008005915209650993,
-0.0475301593542099,
0.023707328364253044,
0.016185088083148003,
0.0774458646774292,
-0.005872689187526703,
0.04158167168498039,
0.013795585371553898,
-0.009160961955785751,
-0.03453588858246803,
0.003524696221575141,
-0.0010124703403562307,
0.0009339632815681398,
0.009110428392887115,
-0.008273020386695862,
-0.03494015336036682,
0.007579992059618235,
-0.01861068606376648,
-0.040946394205093384,
0.014885660260915756,
-0.008273020386695862,
-0.007897629402577877,
-0.017946533858776093,
-0.010972941294312477,
0.019014950841665268,
0.022451214492321014,
0.03606632351875305,
-0.010655303485691547,
0.04438265785574913,
0.012294025160372257,
0.03231242299079895,
0.047847796231508255,
-0.00967351347208023,
-0.0014050056925043464,
-0.030897490680217743,
0.0565972737967968,
-0.00005670894461218268,
-0.015795258805155754,
-0.020964091643691063,
-0.012120768427848816,
-0.011290579102933407,
-0.00830911472439766,
0.021671557798981667,
0.0392427034676075,
-0.058127712458372116,
0.007186554372310638,
-0.026854829862713814,
0.025309953838586807,
-0.021454986184835434,
-0.06699269264936447,
-0.005609194282442331,
0.029829073697328568,
0.01972241699695587,
-0.013412976637482643,
0.0003575680893845856,
-0.06335429847240448,
-0.01357179507613182,
0.01758558116853237,
-0.01181034930050373,
-0.018163105472922325,
-0.05440268665552139,
-0.011925853788852692,
-0.008879419416189194,
-0.022234642878174782,
-0.003080725437030196,
-0.030781986191868782,
-0.0201411210000515,
-0.040166739374399185,
0.016632668673992157,
0.04888733848929405,
0.013528481125831604,
-0.03335196524858475,
0.021339481696486473,
0.04189930856227875,
0.002634949516505003,
0.06370081007480621,
-0.008381305262446404,
0.006594593171030283,
0.010633645579218864,
0.0018823647405952215,
0.03205253928899765,
-0.016892554238438606,
0.003560791490599513,
-0.016892554238438606,
-0.013304690830409527,
-0.027735551819205284,
0.005555051378905773,
-0.044700294733047485,
-0.024602487683296204,
0.031359508633613586,
-0.009868428111076355,
-0.039040569216012955,
-0.0475301593542099,
0.02100740745663643,
-0.01244562491774559,
0.040195614099502563,
0.042938850820064545,
0.01490009855479002,
0.012481720186769962,
-0.011795911937952042,
-0.005681384354829788,
0.0004782614123541862,
-0.010186065919697285,
-0.04137953743338585,
-0.03658609464764595,
0.01809091493487358,
-0.01760002039372921,
-0.005111080594360828,
0.008467934094369411,
0.006738973781466484,
-0.0352289155125618,
0.0314750149846077,
-0.002470716368407011,
-0.012467281892895699,
-0.011254483833909035,
0.02789437025785446,
-0.022162452340126038,
0.026060733944177628,
-0.022451214492321014,
-0.03956034034490585,
0.010792464949190617,
-0.04689488559961319,
0.023216431960463524,
-0.029193798080086708,
0.008785571902990341,
0.0016342102317139506,
-0.001608041231520474,
-0.002488764002919197,
0.06658842414617538,
0.05033114552497864,
0.0016784268664196134,
-0.0014636603882536292,
0.020343255251646042,
-0.031244006007909775,
0.005251851864159107,
-0.012633319944143295,
0.008424620144069195,
0.006403288338333368,
-0.04187043383717537,
0.05645289272069931,
-0.011528806760907173,
-0.021209539845585823,
0.01910158060491085,
0.07519352436065674,
0.04435378313064575,
0.0029634160455316305,
0.0010828559752553701,
0.03725024685263634,
0.030522100627422333,
-0.026999209076166153,
0.004815099760890007,
0.06474035233259201,
-0.031012997031211853,
-0.04322761297225952,
-0.018654000014066696,
-0.028948349878191948,
-0.013723394833505154,
-0.027822179719805717,
0.010987378656864166,
-0.04755903780460358,
-0.07294118404388428,
-0.015203298069536686,
-0.07190164178609848,
-0.01193307340145111,
-0.0015250222058966756,
0.004327814560383558,
-0.038463044911623,
-0.03069535829126835,
-0.04854082688689232,
-0.004851195029914379,
0.008576219901442528,
-0.008280239067971706,
-0.02025662735104561,
0.0019870407413691282,
0.004717642907053232,
0.015232174657285213,
-0.02198919653892517,
-0.027562294155359268,
0.0065187932923436165,
0.00937753263860941,
0.03081086277961731,
-0.007114363834261894,
-0.02190256677567959,
-0.05304550752043724,
-0.004147338680922985,
0.011644311249256134,
0.001418541418388486,
0.06335429847240448,
-0.0024075498804450035,
0.03185040503740311,
-0.028125379234552383,
0.01697918213903904,
0.024299288168549538,
0.021411672234535217,
0.027446789667010307,
-0.04472917318344116,
0.005854641553014517,
0.015116670168936253,
-0.048107683658599854,
-0.0006686635897494853,
0.021021844819188118,
-0.008814447559416294,
-0.03176377713680267,
-0.04354524984955788,
-0.037770017981529236,
-0.006338317412883043,
-0.06063993647694588,
0.005674165673553944,
-0.014257604256272316,
0.0066379071213305,
-0.05356527864933014,
-0.03675935044884682,
0.043574124574661255,
-0.012005263939499855,
0.0214983019977808,
0.07790788263082504,
0.051341813057661057,
0.009586885571479797,
-0.021296167746186256,
-0.006399678997695446,
0.01062642689794302,
-0.007042173761874437,
0.006211983971297741,
-0.017383448779582977,
-0.03857855126261711,
-0.00430615758523345,
-0.00805644877254963,
-0.0107491509988904,
-0.02891947515308857,
0.06427833437919617,
0.02852964587509632,
-0.0462307333946228,
0.014358670450747013,
-0.044469285756349564,
-0.042938850820064545,
0.007363420911133289,
0.03534442186355591,
0.02676820009946823,
0.0336696021258831,
0.010965721681714058,
0.013615109957754612,
-0.002523054601624608,
-0.0051940991543233395,
0.011131759732961655,
-0.02126729115843773,
-0.004782613832503557,
0.04083089157938957,
-0.038549672812223434,
-0.052987754344940186,
-0.006453821901232004,
-0.021570492535829544,
-0.01521773636341095,
-0.0026367544196546078,
0.04071538522839546,
-0.020964091643691063,
-0.012351777404546738,
-0.030348844826221466,
0.03545992448925972,
0.007175725884735584,
-0.02767780050635338,
0.026594944298267365,
0.026999209076166153,
-0.0013553748140111566,
-0.00522297527641058,
-0.0005481958505697548,
0.03751013055443764,
0.012221834622323513,
0.004609357099980116,
0.06312328577041626,
0.0034164106473326683,
-0.00010072816803585738,
-0.023158680647611618,
-0.056279636919498444,
0.009774580597877502,
-0.002313702367246151,
0.01671929657459259,
-0.006273346021771431,
-0.046346236020326614,
-0.00031380265136249363,
0.05160169675946236,
0.027966560795903206,
-0.009969494305551052,
0.000043539836042327806,
0.032514557242393494,
0.023230871185660362,
-0.05293000116944313,
-0.021021844819188118,
0.0709775984287262,
0.025454334914684296,
0.01193307340145111,
-0.03661497309803963,
-0.0400223582983017,
0.005197708960622549,
-0.017036935314536095,
-0.049840252846479416,
-0.03355409950017929,
-0.012698291800916195,
-0.04914722591638565,
-0.01872619055211544,
-0.0571170449256897,
-0.035777561366558075,
0.03658609464764595,
0.01962135173380375,
-0.01686367765069008,
0.02185925282537937,
0.03609520196914673,
0.045826464891433716,
0.0021873691584914923,
0.05015788972377777,
0.01377392839640379,
-0.0005351113504730165,
-0.007558335084468126,
0.017643334344029427,
-0.03580643981695175,
-0.016416097059845924,
-0.027879932895302773,
0.04478692635893822,
-0.011312236078083515,
0.00643938360735774,
-0.001418541418388486,
0.06133296340703964,
-0.026436123996973038,
0.00886498112231493,
-0.005349308717995882,
-0.07455824315547943,
-0.0063491459004580975,
0.03335196524858475,
-0.025483211502432823,
0.02466024085879326,
-0.0035174773074686527,
-0.001239870092831552,
-0.03520004078745842,
0.014337013475596905,
-0.04239020496606827,
0.022306833416223526,
0.03384286165237427,
0.006941107101738453,
-0.024674678221344948,
0.045566581189632416,
-0.0334097184240818,
-0.012337339110672474,
-0.013846118934452534,
0.0071432399563491344,
0.007500582840293646,
0.028212008997797966,
0.041437290608882904,
0.005493689328432083,
0.04022449254989624,
0.04308323189616203,
-0.04013786464929581,
-0.019260399043560028,
-0.03320758417248726,
-0.004674328491091728,
-0.011788692325353622,
0.024111593142151833,
0.047183647751808167,
-0.03563318029046059,
0.017065810039639473,
-0.03378510847687721,
-0.01771552488207817,
-0.025064507499337196,
0.019837921485304832,
-0.0015620198100805283,
-0.0036293724551796913,
-0.03788552060723305,
0.008597876876592636,
0.0051940991543233395,
-0.050215642899274826,
0.00641411729156971,
-0.02050207369029522,
-0.017498953267931938,
0.026811514049768448,
-0.030002331361174583,
-0.060408927500247955,
0.001602626871317625,
-0.02273997664451599,
-0.04614410549402237,
-0.001940116984769702,
-0.017036935314536095,
0.023230871185660362,
0.050735414028167725,
-0.028760654851794243,
-0.04051325470209122,
-0.016906991600990295,
0.028096504509449005,
-0.0049342140555381775,
0.03133063390851021,
0.0020141121931374073,
-0.005201318301260471,
-0.03127288073301315,
0.00331895356066525,
0.04290997236967087,
0.04033999517560005,
-0.027605609968304634,
-0.04452703893184662,
0.028717340901494026,
0.0034633344039320946,
0.01885613240301609,
-0.0040354435332119465,
0.019303712993860245,
-0.0027775256894528866,
0.026999209076166153,
-0.023230871185660362,
0.01796097122132778,
0.003041020594537258,
-0.0349690318107605,
0.03684598207473755,
-0.029713569208979607,
0.01019328460097313,
0.01126170251518488,
-0.005818546283990145,
-0.01621396467089653,
-0.03909832239151001,
-0.03788552060723305,
0.04426715523004532,
0.05151506885886192,
-0.022826604545116425,
0.02362069860100746,
0.04637511447072029,
-0.006551278755068779,
-0.0018931932281702757,
-0.05171720311045647,
0.01985236071050167,
-0.015001165680587292,
0.01924596168100834,
-0.007413954008370638,
-0.01622840203344822,
-0.029092730954289436,
0.04374738410115242,
0.043429743498563766,
-0.037048112601041794,
0.0016549649881199002,
-0.025208888575434685,
0.03398723900318146,
0.020834149792790413,
0.01758558116853237,
-0.03118625283241272,
0.023534070700407028,
-0.019837921485304832,
0.03343859314918518,
-0.00176144577562809,
0.0010990988230332732,
-0.0017569338670000434,
0.008287457749247551,
0.04501793533563614,
-0.015939639881253242,
0.003593277186155319,
-0.014127661474049091,
-0.024068279191851616,
0.04137953743338585,
-0.04083089157938957,
0.011030693538486958,
0.008958828635513783,
0.0678589791059494,
0.01583857461810112,
-0.015131107531487942,
-0.009233152493834496,
0.028240885585546494,
-0.02250896766781807,
0.017426762729883194,
0.02539658360183239,
0.02714359015226364,
0.04210144281387329,
0.027591170743107796,
-0.05625075846910477,
-0.023808393627405167,
0.07172837853431702,
-0.011218388564884663,
-0.006226422265172005,
0.027721114456653595,
-0.045710962265729904,
-0.01521773636341095,
-0.04215919226408005,
0.010092218406498432,
-0.03762563690543175,
0.029829073697328568,
0.008706162683665752,
0.010792464949190617,
-0.05053327977657318,
0.06000466272234917,
0.009088771417737007,
0.011767035350203514,
0.020415445789694786,
-0.005612803623080254,
0.05394066870212555,
0.04374738410115242,
0.03554655238986015,
-0.002669240115210414,
0.0027324066031724215,
-0.013983280397951603,
-0.020155560225248337,
0.011341111734509468,
-0.018321923911571503,
0.03306320309638977,
0.019087141379714012,
0.013723394833505154,
-0.0032557870727032423,
-0.03372735530138016,
0.017397886142134666,
0.004815099760890007,
0.004266452509909868,
-0.012395091354846954,
0.039156071841716766,
0.0068472595885396,
-0.020213311538100243,
0.01490009855479002,
-0.024111593142151833,
0.07634856551885605,
0.020213311538100243,
0.002190978731960058,
-0.04392063990235329,
-0.02538214437663555,
-0.06647291779518127,
0.032630059868097305,
-0.013622328639030457,
-0.0028100113850086927,
-0.02692701853811741,
-0.02273997664451599,
-0.0012100916355848312,
0.009233152493834496,
-0.004616576246917248,
-0.05832984298467636,
0.05151506885886192,
0.026378372684121132,
0.004039052873849869,
0.027201343327760696,
-0.038549672812223434,
-0.0801602229475975,
0.03297657519578934,
0.027995437383651733,
0.02715802937746048,
0.03543104976415634,
0.035893067717552185,
0.07236365973949432,
-0.007839877158403397,
-0.023057613521814346,
0.019043827429413795,
-0.02653719112277031,
0.047183647751808167,
0.01005612313747406,
-0.03317870944738388,
-0.02591635473072529,
-0.027129152789711952,
-0.0038910626899451017,
0.001168582122772932,
-0.005883517675101757,
-0.024313727393746376,
-0.011333893053233624,
-0.030897490680217743,
-0.05004238709807396,
0.008215267211198807,
-0.03320758417248726,
-0.003937986213713884,
0.026609381660819054,
-0.009262028150260448,
0.01220739632844925,
-0.04851194843649864,
0.24486984312534332,
0.03826091066002846,
0.030088959261775017,
0.043429743498563766,
0.02741791494190693,
0.008966047316789627,
-0.01723906770348549,
-0.05396954342722893,
-0.037539009004831314,
-0.03580643981695175,
0.013239719904959202,
0.016574915498495102,
0.03176377713680267,
0.0220180731266737,
0.06508686393499374,
0.028645150363445282,
-0.024053841829299927,
-0.015607564710080624,
0.019404780119657516,
-0.028948349878191948,
-0.06000466272234917,
0.02539658360183239,
0.012084673158824444,
0.02941036969423294,
-0.0010584917617961764,
-0.01559312641620636,
0.006522402632981539,
-0.04328536242246628,
-0.04163942486047745,
-0.03797215223312378,
-0.002784744603559375,
-0.005074985325336456,
0.0038441389333456755,
-0.013939966447651386,
0.025194449350237846,
0.022465651854872704,
-0.017397886142134666,
0.006320269778370857,
-0.029193798080086708,
-0.05942713841795921,
0.0106841791421175,
0.014163756743073463,
-0.014827908016741276,
-0.020401006564497948,
0.006175888702273369,
0.0673392042517662,
-0.02591635473072529,
0.014069909229874611,
-0.01069139875471592,
-0.04663499817252159,
0.0218881294131279,
-0.04868520796298981,
-0.024313727393746376,
0.02916492149233818,
-0.03329421207308769,
-0.021787062287330627,
0.04213031753897667,
0.020805273205041885,
0.01900051347911358,
0.062314752489328384,
0.04741465672850609,
-0.0028912255074828863,
-0.005818546283990145,
0.03260118514299393,
-0.024169346317648888,
-0.012026920914649963,
-0.008518467657268047,
0.0565972737967968,
0.0128859868273139,
0.01921708509325981,
-0.03517116233706474,
-0.04296772554516792,
0.03580643981695175,
0.012618881650269032,
0.06526011973619461,
-0.011824787594377995,
-0.017022496089339256,
0.052872247993946075,
-0.04025336727499962,
0.008583438582718372,
0.0020935216452926397,
-0.0011929463362321258,
-0.03248567879199982,
0.08264356851577759,
0.017441200092434883,
0.045710962265729904,
-0.005612803623080254,
-0.009767360985279083,
0.03517116233706474,
0.0011532416101545095,
0.03531554341316223,
0.003757510334253311,
-0.010142751038074493,
-0.03185040503740311,
0.0032882727682590485
] |
1209_7 | General formulas
Areas of 2-dimensional figures
A triangle: (where B is any side, and h is the distance from the line on which B lies to the other vertex of the triangle). This formula can be used if the height h is known. If the lengths of the three sides are known then Heron's formula can be used: where a, b, c are the sides of the triangle, and is half of its perimeter. If an angle and its two included sides are given, the area is where is the given angle and and are its included sides. If the triangle is graphed on a coordinate plane, a matrix can be used and is simplified to the absolute value of . This formula is also known as the shoelace formula and is an easy way to solve for the area of a coordinate triangle by substituting the 3 points (x1,y1), (x2,y2), and (x3,y3). The shoelace formula can also be used to find the areas of other polygons when their vertices are known. Another approach for a coordinate triangle is to use calculus to find the area.
A simple polygon constructed on a grid of equal-distanced points (i.e., points with integer coordinates) such that all the polygon's vertices are grid points: , where i is the number of grid points inside the polygon and b is the number of boundary points. This result is known as Pick's theorem.
Area in calculus
The area between a positive-valued curve and the horizontal axis, measured between two values a and b (b is defined as the larger of the two values) on the horizontal axis, is given by the integral from a to b of the function that represents the curve:
The area between the graphs of two functions is equal to the integral of one function, f(x), minus the integral of the other function, g(x):
where is the curve with the greater y-value.
An area bounded by a function expressed in polar coordinates is:
The area enclosed by a parametric curve with endpoints is given by the line integrals:
or the z-component of
(For details, see .) This is the principle of the planimeter mechanical device. | [
0.00177151954267174,
0.06167697533965111,
0.037443436682224274,
-0.043817441910505295,
-0.053239885717630386,
0.005904423538595438,
0.03359439969062805,
0.009561008773744106,
0.018891075626015663,
0.0747637078166008,
0.06297025084495544,
-0.012032091617584229,
-0.04889817163348198,
-0.009945913217961788,
-0.009530216455459595,
-0.0008799862116575241,
0.0035873029846698046,
-0.016781803220510483,
-0.027466731145977974,
0.010415495373308659,
0.024248937144875526,
0.036889176815748215,
-0.04387902840971947,
-0.06478700041770935,
-0.013810346834361553,
0.03879829868674278,
0.06497175246477127,
-0.01779794879257679,
0.0321163684129715,
0.05129997059702873,
-0.027420543134212494,
0.011616394855082035,
0.010107572190463543,
-0.025927117094397545,
-0.017182104289531708,
0.005723518785089254,
0.03793611377477646,
-0.033255685120821,
-0.005123069044202566,
-0.021523818373680115,
0.0348568819463253,
0.012755710631608963,
0.018952660262584686,
-0.02149302512407303,
0.022801699116826057,
-0.015750261023640633,
0.012170656584203243,
-0.003013796405866742,
0.0028867782093584538,
-0.04230862110853195,
-0.006554910913109779,
0.016889575868844986,
0.04187752678990364,
-0.0506841242313385,
-0.05471791699528694,
0.0020996499806642532,
0.03457975387573242,
-0.04043028876185417,
0.002197800436988473,
0.02758990041911602,
-0.013964308425784111,
-0.02080019935965538,
-0.02678930200636387,
-0.029391249641776085,
0.0034583602100610733,
0.009676480665802956,
-0.004153111483901739,
-0.013879628852009773,
0.04061504453420639,
-0.03270142152905464,
0.006039139814674854,
0.009730366989970207,
0.007532566320151091,
-0.017782554030418396,
-0.038767505437135696,
0.019137414172291756,
0.014557059854269028,
-0.004761259537190199,
-0.03793611377477646,
0.011308472603559494,
-0.01457245647907257,
0.04098455235362053,
-0.0522853247821331,
0.05662703886628151,
-0.047389350831508636,
0.011577905155718327,
0.005908272694796324,
0.015311471186578274,
0.04009157419204712,
-0.005638840142637491,
-0.023817844688892365,
0.030792299658060074,
0.025696175172924995,
0.011116020381450653,
0.025311270728707314,
0.02084638737142086,
0.005211596842855215,
0.01635071076452732,
-0.009776555001735687,
0.01206288393586874,
0.044340912252664566,
0.09280799329280853,
-0.015557809732854366,
0.03310172259807587,
-0.03110022284090519,
0.02501874417066574,
-0.03479529917240143,
-0.02013816498219967,
-0.005073031410574913,
-0.03615016117691994,
0.001961084548383951,
-0.037351060658693314,
0.045326266437768936,
-0.012032091617584229,
0.018536964431405067,
-0.01311752013862133,
-0.0006206572870723903,
-0.011470131576061249,
0.006501024588942528,
0.0019168206490576267,
0.01610437221825123,
0.015211395919322968,
0.014818794094026089,
0.02281709387898445,
-0.026219643652439117,
0.0224783793091774,
-0.010515570640563965,
0.008952861651778221,
-0.05237770080566406,
-0.017536215484142303,
-0.01699735037982464,
-0.021323667839169502,
-0.050099071115255356,
0.020738614723086357,
0.008098375052213669,
0.037535812705755234,
-0.027928616851568222,
0.03799769654870033,
0.04280129820108414,
-0.0034525867085903883,
0.020830990746617317,
-0.0045880526304244995,
-0.00011913973867194727,
0.07451736927032471,
0.04178515076637268,
-0.01779794879257679,
-0.006882078945636749,
-0.0020553860813379288,
-0.03713551536202431,
-0.002553836442530155,
-0.009853536263108253,
0.009491726756095886,
-0.04504913464188576,
-0.03433341532945633,
0.0021708570420742035,
-0.01482649240642786,
-0.017212895676493645,
0.0323319137096405,
-0.00531552080065012,
-0.0053309169597923756,
0.0013654460199177265,
-0.055487725883722305,
0.014703323133289814,
0.0271742045879364,
-0.037166304886341095,
0.044279325753450394,
-0.06515650451183319,
0.006474080961197615,
-0.020261334255337715,
0.010708021931350231,
0.020923368632793427,
0.005115370731800795,
0.0037990000564604998,
-0.025049535557627678,
0.030653735622763634,
0.04163118824362755,
0.006158459931612015,
-0.04095375910401344,
-0.0026827792171388865,
0.025788551196455956,
-0.01761319488286972,
-0.04581894353032112,
0.022832490503787994,
0.03704313561320305,
-0.02421814389526844,
0.010007497854530811,
0.011085228063166142,
0.018660133704543114,
-0.023586902767419815,
0.0019456885056570172,
0.05003748834133148,
0.03205478563904762,
-0.06552601605653763,
0.026204247027635574,
-0.04400219768285751,
0.0038355658762156963,
-0.04455645754933357,
0.03457975387573242,
-0.04187752678990364,
-0.03319409862160683,
-0.010931266471743584,
0.0020688576623797417,
0.015511620789766312,
0.003548812586814165,
-0.06478700041770935,
0.005588802509009838,
0.02075400948524475,
0.009945913217961788,
-0.030930865556001663,
0.014110571704804897,
0.0373818539083004,
-0.013125217519700527,
-0.042277827858924866,
-0.007036040537059307,
-0.004434091039001942,
0.02346373349428177,
-0.0033948509953916073,
0.03907543048262596,
-0.02538825199007988,
0.00408767769113183,
0.019984202459454536,
0.04726618155837059,
-0.023817844688892365,
0.05222374200820923,
-0.01042319368571043,
-0.017767157405614853,
-0.008375505916774273,
0.026850884780287743,
0.014680229127407074,
0.058012694120407104,
0.02871382050216198,
0.07217714935541153,
0.032485876232385635,
0.00836010929197073,
0.0543484091758728,
0.001094088889658451,
-0.016196750104427338,
0.02155460976064205,
-0.004022244364023209,
0.020815594121813774,
0.013471631333231926,
0.06355530768632889,
0.04338635131716728,
-0.0074478876776993275,
0.023586902767419815,
0.0006803174037486315,
0.005931366700679064,
0.005588802509009838,
0.022709321230649948,
0.05043778941035271,
-0.05761239305138588,
0.08406297862529755,
-0.027574505656957626,
-0.027928616851568222,
-0.025095725432038307,
-0.01625833474099636,
0.004688127897679806,
-0.004145413171499968,
-0.007952111773192883,
-0.036365706473588943,
-0.00511921988800168,
0.0258039478212595,
0.024094974622130394,
0.02286328189074993,
-0.0022305173333734274,
0.030715320259332657,
0.061707768589258194,
0.002030367264524102,
-0.03470292314887047,
-0.01559630036354065,
-0.055857233703136444,
-0.012994350865483284,
-0.07149972021579742,
-0.01752081885933876,
-0.023571506142616272,
-0.019984202459454536,
0.02290947176516056,
-0.04076900705695152,
0.00941474549472332,
-0.017397649586200714,
-0.055056631565093994,
-0.009969007223844528,
-0.07420944422483444,
0.010792701505124569,
0.01332536805421114,
0.009291576221585274,
-0.03781294450163841,
0.006273931358009577,
0.01816745661199093,
0.022493775933980942,
-0.043632689863443375,
-0.005881329532712698,
0.02468002773821354,
-0.009168406948447227,
0.007178455125540495,
0.01046938169747591,
0.046250034123659134,
-0.046588748693466187,
0.0021439138799905777,
-0.06472541391849518,
-0.048313118517398834,
-0.00698985205963254,
-0.02520349808037281,
0.014164458028972149,
-0.030607545748353004,
0.05554930865764618,
-0.002272856654599309,
-0.015157509595155716,
0.031038638204336166,
0.016689427196979523,
-0.025649985298514366,
0.019291376695036888,
0.01166258379817009,
-0.013317669741809368,
-0.04745093360543251,
0.04957560449838638,
0.018290625885128975,
0.00637015700340271,
0.018814096227288246,
-0.020446088165044785,
0.0030599848832935095,
0.000011637323950708378,
-0.023340564221143723,
0.007051436696201563,
-0.012917369604110718,
0.04113851115107536,
0.0022439889144152403,
-0.04905213415622711,
0.01644308865070343,
-0.03251666948199272,
-0.012409296818077564,
0.02731277048587799,
-0.00782509334385395,
0.030561357736587524,
-0.013895025476813316,
-0.02795940823853016,
0.010908172465860844,
0.009468631818890572,
0.011085228063166142,
0.023217394948005676,
0.04193911328911781,
-0.05213136225938797,
0.013202198781073093,
0.0003892339300364256,
0.022262832149863243,
-0.02444908581674099,
-0.028867781162261963,
-0.01676640659570694,
-0.033471230417490005,
-0.012478579767048359,
-0.042739711701869965,
0.009060634300112724,
-0.01501124631613493,
0.03153131529688835,
0.007166907656937838,
0.009807347320020199,
-0.009545613080263138,
-0.011762659065425396,
-0.03133116662502289,
0.022078078240156174,
0.031777653843164444,
0.015003548003733158,
-0.005380954593420029,
-0.0016868406673893332,
-0.034364208579063416,
-0.03728947415947914,
-0.009761159308254719,
-0.0012846163008362055,
0.026666132733225822,
-0.044618044048547745,
0.04172356799244881,
0.0099767055362463,
0.006631891708821058,
-0.0026924016419798136,
0.0205230675637722,
0.010800398886203766,
0.04181594401597977,
0.028174955397844315,
0.027882426977157593,
0.019137414172291756,
-0.021369855850934982,
-0.003991452045738697,
-0.006962908897548914,
0.039137013256549835,
0.03288617730140686,
0.025588400661945343,
-0.016335316002368927,
-0.04304763674736023,
-0.03498005121946335,
-0.018244437873363495,
-0.02919110096991062,
0.007905922830104828,
0.008829692378640175,
-0.017536215484142303,
-0.011316169984638691,
0.024649236351251602,
0.03849037364125252,
0.01440309826284647,
0.04098455235362053,
-0.0171974990516901,
0.030376603826880455,
0.02252456732094288,
-0.0006620344356633723,
0.06663453578948975,
-0.053147509694099426,
0.020076580345630646,
0.0043725064024329185,
0.05856695398688316,
-0.000989202642813325,
-0.014841889031231403,
-0.04400219768285751,
-0.03809007629752159,
-0.02678930200636387,
-0.018244437873363495,
-0.000011268959497101605,
0.02862144261598587,
-0.08227702230215073,
0.009383953176438808,
-0.05758159980177879,
0.013856534846127033,
-0.006882078945636749,
-0.024248937144875526,
0.020215144380927086,
-0.004241639282554388,
0.038859881460666656,
-0.019091226160526276,
-0.0170897264033556,
-0.07852036505937576,
0.030807696282863617,
0.007182303816080093,
-0.005792801268398762,
-0.02899095043540001,
-0.012994350865483284,
-0.023448336869478226,
-0.0016955010360106826,
0.004307073075324297,
0.012786502949893475,
-0.0008400524384342134,
-0.038244035094976425,
-0.060784000903367996,
-0.029006347060203552,
0.024110371246933937,
0.025788551196455956,
-0.01690497249364853,
-0.0035199448466300964,
0.020014995709061623,
-0.006008347496390343,
0.048220742493867874,
-0.015280678868293762,
0.005504123866558075,
0.006735815666615963,
-0.009984402917325497,
-0.0047035240568220615,
-0.008868182078003883,
0.009661084040999413,
-0.054071277379989624,
0.03236270695924759,
-0.04387902840971947,
0.012078279629349709,
-0.04350952059030533,
-0.008614146150648594,
0.010785003192722797,
-0.03864433616399765,
-0.0020650087390094995,
-0.03704313561320305,
0.032763008028268814,
-0.015665583312511444,
0.001955311046913266,
0.06220044568181038,
-0.021000348031520844,
-0.02937585487961769,
-0.0067666079849004745,
-0.00941474549472332,
-0.010061384178698063,
-0.0031947011593729258,
-0.04190832003951073,
-0.03498005121946335,
0.006808947306126356,
-0.032485876232385635,
0.016658633947372437,
-0.018721718341112137,
-0.0007924205856397748,
-0.02928347699344158,
0.0024826291482895613,
-0.0019081603968515992,
0.0039953007362782955,
-0.006909022107720375,
-0.02112351730465889,
0.010754210874438286,
0.024987950921058655,
-0.027189601212739944,
-0.04726618155837059,
0.009476330131292343,
-0.05767397955060005,
0.01110062375664711,
-0.01231691986322403,
-0.011408546939492226,
-0.0077404142357409,
0.006578004918992519,
0.02224743738770485,
0.05850537121295929,
0.0584745779633522,
-0.013925817795097828,
0.005554161034524441,
-0.0021631591953337193,
-0.00852176919579506,
-0.007551811635494232,
0.02481859363615513,
-0.0133022740483284,
0.012809596955776215,
-0.023155810311436653,
0.026081077754497528,
-0.03935255855321884,
-0.03396390751004219,
0.011801148764789104,
0.05813586339354515,
0.043540313839912415,
0.031962405890226364,
-0.0191528107970953,
0.04292446747422218,
0.004876730497926474,
-0.03100784681737423,
-0.003252436639741063,
0.04126168042421341,
-0.005250087007880211,
-0.004538014996796846,
-0.026358209550380707,
-0.025542212650179863,
-0.03304013982415199,
-0.025141913443803787,
0.04027632996439934,
-0.04880579560995102,
-0.024418294429779053,
-0.027928616851568222,
-0.03615016117691994,
0.00470737274736166,
0.027328167110681534,
-0.012301524169743061,
-0.04086138308048248,
-0.026019493117928505,
-0.0428936742246151,
0.06226203218102455,
0.015842638909816742,
0.015488526783883572,
-0.043170806020498276,
-0.027328167110681534,
0.01779794879257679,
0.023694675415754318,
0.011531716212630272,
0.002503798808902502,
0.037597399204969406,
-0.011300774291157722,
0.015534715726971626,
-0.016150562092661858,
0.00034954072907567024,
-0.00203806534409523,
-0.019368356093764305,
0.0033736813347786665,
-0.00015035302203614265,
0.026034889742732048,
0.012386202812194824,
0.02027672901749611,
-0.037874527275562286,
0.024017993360757828,
0.061523016542196274,
0.033255685120821,
0.036919966340065,
-0.026496773585677147,
0.026619942858815193,
0.0041107721626758575,
-0.05311671644449234,
-0.02314041368663311,
0.019214395433664322,
-0.012247636914253235,
-0.026404397562146187,
-0.02665073610842228,
-0.026496773585677147,
0.006851286627352238,
-0.075687475502491,
0.02027672901749611,
-0.0015367282321676612,
-0.001297125592827797,
-0.07611856609582901,
-0.006882078945636749,
0.08406297862529755,
-0.00502299377694726,
0.03812086582183838,
0.06534126400947571,
0.04871341958642006,
0.07402469217777252,
0.020107371732592583,
-0.016196750104427338,
-0.011323868297040462,
-0.029899323359131813,
0.024649236351251602,
-0.003927942831069231,
-0.05844378471374512,
0.030884677544236183,
-0.006208497565239668,
-0.05816665664315224,
-0.0034217943903058767,
0.06681928783655167,
0.007663433905690908,
-0.012601749040186405,
0.012855784967541695,
-0.015018944628536701,
-0.029529815539717674,
0.026389000937342644,
0.0010536740301176906,
0.030145661905407906,
0.011562508530914783,
0.014549361541867256,
0.01812126860022545,
-0.029868531972169876,
0.006712721195071936,
0.03639649972319603,
-0.010561758652329445,
-0.017536215484142303,
0.012447787448763847,
-0.014333815313875675,
-0.05690417066216469,
0.04169277474284172,
-0.025942513719201088,
-0.05816665664315224,
0.021277479827404022,
0.06361689418554306,
-0.0012451636139303446,
0.01733606494963169,
-0.026312019675970078,
0.016150562092661858,
0.04206228256225586,
0.007036040537059307,
0.02032291889190674,
0.010246138088405132,
-0.005034541245549917,
-0.012170656584203243,
-0.019891826435923576,
0.014703323133289814,
0.006912871263921261,
-0.00727083208039403,
0.026542963460087776,
-0.00009135450090980157,
-0.018706321716308594,
-0.06632661074399948,
-0.01807508058845997,
-0.011762659065425396,
-0.030792299658060074,
0.030176453292369843,
0.0008852786268107593,
-0.014018194749951363,
0.00605453597381711,
0.018475379794836044,
0.03864433616399765,
-0.015611696057021618,
0.031315770000219345,
0.06829731911420822,
-0.011092926375567913,
-0.03390232101082802,
0.005211596842855215,
0.03153131529688835,
0.03630411997437477,
-0.01747463084757328,
-0.024233540520071983,
-0.03162369132041931,
0.00700139906257391,
0.04825153574347496,
-0.06601869314908981,
-0.05598040297627449,
-0.03494926169514656,
-0.08184593170881271,
-0.03156210854649544,
-0.01361019629985094,
-0.0589364618062973,
0.021000348031520844,
-0.0012788426829501987,
-0.010384703055024147,
-0.007463283836841583,
0.010769606567919254,
0.04936005547642708,
-0.011139114387333393,
0.09169946610927582,
-0.02478780224919319,
-0.01503434032201767,
-0.04184673726558685,
-0.024433691054582596,
-0.041477229446172714,
-0.02458765171468258,
0.004611147101968527,
0.0066511370241642,
0.0021804796997457743,
0.006751211825758219,
0.00016442607739008963,
0.025942513719201088,
-0.02360229752957821,
0.011677979491651058,
0.0038432639557868242,
-0.05973706394433975,
-0.00856795720756054,
0.011223793029785156,
-0.04070742055773735,
0.017874930053949356,
-0.02080019935965538,
0.0102615337818861,
-0.021708572283387184,
-0.01103134173899889,
-0.0026943262200802565,
0.020153559744358063,
0.04455645754933357,
0.002118895063176751,
-0.03304013982415199,
0.0006124781211838126,
-0.025542212650179863,
-0.022416794672608376,
-0.0006283553666435182,
-0.0033621343318372965,
0.02070782147347927,
0.017505422234535217,
0.00856795720756054,
-0.0006764683639630675,
0.039660483598709106,
0.03658125177025795,
-0.013879628852009773,
0.001017108210362494,
-0.03162369132041931,
0.00006453152309404686,
-0.02314041368663311,
0.03011486865580082,
0.04126168042421341,
0.0008063733694143593,
0.012894275598227978,
-0.051269181072711945,
0.023663882166147232,
-0.052993547171354294,
-0.005296275485306978,
0.03054596111178398,
0.009530216455459595,
-0.052962757647037506,
-0.015380754135549068,
-0.025603797286748886,
-0.012440089136362076,
0.022940263152122498,
-0.0012624843511730433,
-0.023432940244674683,
-0.009853536263108253,
-0.009214595891535282,
-0.04073821380734444,
-0.0015309546142816544,
-0.05120759457349777,
-0.06564918160438538,
0.02571156993508339,
0.0015078604919835925,
0.0102615337818861,
0.03270142152905464,
-0.017305273562669754,
-0.01372566819190979,
-0.012570956721901894,
0.028236540034413338,
-0.02013816498219967,
0.017859533429145813,
-0.011416245251893997,
-0.00852946750819683,
-0.009876630268990993,
0.003722019260749221,
0.05151551961898804,
0.0603221170604229,
-0.035811446607112885,
-0.027666881680488586,
-0.02238600142300129,
0.021985702216625214,
0.048405494540929794,
-0.0170897264033556,
-0.026773905381560326,
-0.03870592266321182,
-0.0017166706966236234,
0.0016993500757962465,
0.037073928862810135,
-0.031962405890226364,
-0.07402469217777252,
-0.004930616822093725,
-0.0715613067150116,
-0.0076210941188037395,
-0.002419120166450739,
0.018567757681012154,
-0.012994350865483284,
-0.040676627308130264,
-0.008437090553343296,
0.05736605450510979,
0.037966907024383545,
-0.019891826435923576,
0.029576003551483154,
0.028236540034413338,
-0.0012952011311426759,
-0.017305273562669754,
-0.03556510806083679,
0.025357458740472794,
-0.010300024412572384,
0.02098495326936245,
0.00033318230998702347,
-0.00001242667804035591,
-0.04307842627167702,
0.03513401374220848,
0.051361557096242905,
-0.022971056401729584,
-0.014125967398285866,
-0.021046537905931473,
0.0327938012778759,
0.024433691054582596,
0.022324416786432266,
-0.006724268663674593,
0.03442579135298729,
-0.024695424363017082,
0.03153131529688835,
-0.03304013982415199,
-0.03534955903887749,
-0.006670381873846054,
0.007367057725787163,
0.032670632004737854,
0.004257035441696644,
0.014295325614511967,
-0.009291576221585274,
-0.017951911315321922,
0.03424103930592537,
-0.06435590982437134,
-0.007066832855343819,
0.014395399950444698,
0.041661981493234634,
0.05016065761446953,
-0.0072823790833354,
0.018629342317581177,
0.02641979418694973,
0.0383056215941906,
0.00531552080065012,
-0.00560804782435298,
-0.013156009837985039,
0.03722789138555527,
0.02075400948524475,
-0.05437920242547989,
0.0016570106381550431,
0.0703912004828453,
0.00810607336461544,
0.011816545389592648,
0.0276360884308815,
-0.03414865955710411,
-0.019168207421898842,
-0.026758508756756783,
0.028375104069709778,
-0.025141913443803787,
0.015042038634419441,
-0.019260583445429802,
-0.01166258379817009,
-0.07254666090011597,
0.08307762444019318,
-0.008883578702807426,
0.029714569449424744,
0.035103220492601395,
0.006612646393477917,
0.03547272831201553,
0.04203148931264877,
0.023402148857712746,
0.03171606734395027,
-0.009907422587275505,
-0.026065681129693985,
-0.015981202945113182,
-0.012863483279943466,
-0.03494926169514656,
0.05425603315234184,
0.016781803220510483,
-0.03288617730140686,
-0.013802648521959782,
-0.013394651003181934,
0.003927942831069231,
-0.0015328791923820972,
-0.0020111221820116043,
-0.06786622852087021,
0.02866763062775135,
-0.02056925557553768,
-0.02098495326936245,
0.03156210854649544,
-0.04726618155837059,
0.05668862536549568,
-0.030853884294629097,
-0.03091546893119812,
-0.03836720436811447,
-0.015858033671975136,
-0.04788202792406082,
0.030053284019231796,
-0.042739711701869965,
0.010915870778262615,
0.009899724274873734,
-0.01967627927660942,
0.0028328916523605585,
0.015388451516628265,
0.015727167949080467,
-0.04692746698856354,
0.05813586339354515,
-0.004722768906503916,
-0.002661609323695302,
0.0316544845700264,
-0.037966907024383545,
-0.03538035228848457,
0.04086138308048248,
0.049206096678972244,
0.015334565192461014,
0.04055345803499222,
0.030977053567767143,
0.03040739707648754,
-0.02914491295814514,
-0.00645483611151576,
0.0037585850805044174,
-0.015573205426335335,
0.011993600986897945,
-0.018906472250819206,
-0.009076029993593693,
0.005015295930206776,
-0.04612686485052109,
-0.03701234608888626,
0.011547112837433815,
-0.008067582733929157,
0.0079136211425066,
0.0018350286409258842,
-0.020584652200341225,
-0.03873671218752861,
0.02318660169839859,
-0.008460184559226036,
-0.016273731365799904,
0.028513669967651367,
0.03433341532945633,
0.003356360597535968,
-0.06281629204750061,
0.28107210993766785,
0.02295565977692604,
0.025218894705176353,
0.05638070032000542,
0.0015290301525965333,
0.03350202366709709,
0.00428397860378027,
-0.024987950921058655,
-0.03935255855321884,
-0.0133022740483284,
-0.002188177779316902,
-0.01461094617843628,
0.0044379401952028275,
0.0025981003418564796,
0.03288617730140686,
0.034641336649656296,
-0.04726618155837059,
-0.003408322809264064,
0.0064894771203398705,
-0.02233981341123581,
-0.033255685120821,
-0.0028540613129734993,
0.03396390751004219,
0.02309422567486763,
0.007767357863485813,
-0.0008958634571172297,
0.02149302512407303,
-0.04932926595211029,
-0.021847136318683624,
-0.027805447578430176,
-0.021000348031520844,
0.0003885122132487595,
0.04086138308048248,
0.030484376475214958,
0.015380754135549068,
0.04153881222009659,
0.04501834139227867,
-0.008098375052213669,
-0.03328647464513779,
-0.0399068221449852,
0.012971256859600544,
-0.005804348737001419,
-0.025188101455569267,
0.005038389936089516,
-0.009530216455459595,
0.0481591559946537,
-0.032023992389440536,
0.022493775933980942,
0.02346373349428177,
-0.06281629204750061,
0.035626690834760666,
-0.04095375910401344,
0.025588400661945343,
-0.003233191557228565,
-0.038952261209487915,
0.006581854075193405,
0.0029945510905236006,
0.010800398886203766,
0.012186053209006786,
0.039598897099494934,
0.04942164197564125,
-0.006624193396419287,
-0.01602739281952381,
0.027651485055685043,
-0.050560954958200455,
-0.011408546939492226,
-0.031931616365909576,
0.03916780650615692,
-0.021754760295152664,
0.011200699023902416,
-0.01667403057217598,
-0.06478700041770935,
-0.017212895676493645,
-0.019337564706802368,
0.0740862712264061,
-0.02224743738770485,
-0.040491875261068344,
0.04868262633681297,
-0.007386303041130304,
-0.022462982684373856,
0.031115619465708733,
0.002979154931381345,
-0.01337155606597662,
0.031685277819633484,
-0.0012952011311426759,
0.05425603315234184,
-0.014687927439808846,
-0.009199199266731739,
-0.003471831791102886,
-0.028452085331082344,
-0.004957560449838638,
0.047143012285232544,
-0.007405548356473446,
-0.04646557942032814,
-0.026912469416856766
] |
1209_8 | Bounded area between two quadratic functions
To find the bounded area between two quadratic functions, we subtract one from the other to write the difference as
where f(x) is the quadratic upper bound and g(x) is the quadratic lower bound. Define the discriminant of f(x)-g(x) as
By simplifying the integral formula between the graphs of two functions (as given in the section above) and using Vieta's formula, we can obtain
The above remains valid if one of the bounding functions is linear instead of quadratic.
Surface area of 3-dimensional figures
Cone: , where r is the radius of the circular base, and h is the height. That can also be rewritten as or where r is the radius and l is the slant height of the cone. is the base area while is the lateral surface area of the cone.
cube: , where s is the length of an edge.
cylinder: , where r is the radius of a base and h is the height. The 2r can also be rewritten as d, where d is the diameter.
prism: 2B + Ph, where B is the area of a base, P is the perimeter of a base, and h is the height of the prism.
pyramid: , where B is the area of the base, P is the perimeter of the base, and L is the length of the slant.
rectangular prism: , where is the length, w is the width, and h is the height.
General formula for surface area
The general formula for the surface area of the graph of a continuously differentiable function where and is a region in the xy-plane with the smooth boundary:
An even more general formula for the area of the graph of a parametric surface in the vector form where is a continuously differentiable vector function of is:
List of formulas
The above calculations show how to find the areas of many common shapes.
The areas of irregular (and thus arbitrary) polygons can be calculated using the "Surveyor's formula" (shoelace formula).
Relation of area to perimeter | [
-0.018781138584017754,
0.02761220373213291,
0.03444720804691315,
-0.008891553618013859,
-0.01986989937722683,
0.013730493374168873,
0.019355762749910355,
0.011348827742040157,
-0.01414634007960558,
0.06417644768953323,
0.06974122673273087,
0.05301664024591446,
-0.05682730674743652,
0.003103726776316762,
0.018690407276153564,
0.02089817449450493,
-0.029925823211669922,
-0.006305744405835867,
-0.05183715000748634,
-0.010388600639998913,
0.009919827803969383,
0.04355046525597572,
-0.06968074291944504,
-0.07518503814935684,
0.004812477622181177,
0.02882193960249424,
0.05537562444806099,
-0.006971098482608795,
0.05945848301053047,
0.05567805841565132,
-0.01231661532074213,
-0.00708451122045517,
0.018871868029236794,
-0.03223944082856178,
-0.012014182284474373,
0.0005784046370536089,
0.03511256352066994,
-0.03807641193270683,
0.001962039154022932,
-0.054861489683389664,
0.03789495304226875,
0.03680619224905968,
-0.013601959683001041,
-0.021805476397275925,
-0.0023287402000278234,
-0.026069791987538338,
-0.02138206921517849,
-0.00848326738923788,
-0.001061353599652648,
-0.05446832254528999,
-0.04681674763560295,
0.011046393774449825,
0.02957802452147007,
-0.04267340525984764,
-0.04088904708623886,
0.010123970918357372,
0.01336001232266426,
-0.04406460374593735,
-0.01420682668685913,
0.013533911667764187,
-0.008211077190935612,
0.0019289604388177395,
-0.014040488749742508,
-0.0725841075181961,
0.02080744504928589,
0.01906844973564148,
-0.01088761631399393,
-0.031120436266064644,
0.059488724917173386,
-0.05613170936703682,
-0.0032303708139806986,
0.01773774065077305,
-0.009745928458869457,
0.004139562603086233,
-0.016981657594442368,
0.021805476397275925,
0.03505207598209381,
-0.04506263509392738,
-0.020565496757626534,
0.019431371241807938,
0.003612193511798978,
0.002684099832549691,
-0.06447888165712357,
0.01611972041428089,
-0.016180207952857018,
-0.0012078449362888932,
0.0469377227127552,
0.022213760763406754,
0.004120660480111837,
-0.022682534530758858,
-0.02039915882050991,
0.008611802011728287,
-0.00244971364736557,
0.02259180322289467,
0.007583526894450188,
0.023499105125665665,
-0.012505636550486088,
0.03928614780306816,
-0.004234072752296925,
-0.01167394407093525,
0.05567805841565132,
0.061182353645563126,
-0.04587920382618904,
0.060335539281368256,
-0.0361710786819458,
0.05785558372735977,
-0.017042143270373344,
0.025601020082831383,
-0.03716911002993584,
-0.02490542270243168,
0.033570148050785065,
-0.025419559329748154,
0.04962938278913498,
-0.004680162761360407,
-0.013707811012864113,
0.0035535970237106085,
0.004978816024959087,
0.010411283001303673,
-0.008211077190935612,
-0.019718682393431664,
-0.006294403225183487,
0.016603615134954453,
0.020474767312407494,
0.01549973152577877,
-0.02476932667195797,
-0.00928471703082323,
-0.008982283063232899,
-0.0024723962415009737,
-0.04294559732079506,
-0.023710807785391808,
0.008626923896372318,
-0.029320955276489258,
-0.023136183619499207,
0.024844935163855553,
-0.011968816630542278,
0.04569774493575096,
-0.03202773630619049,
0.026931729167699814,
0.0073075564578175545,
-0.00016988272545859218,
-0.0023306303191930056,
-0.00542490603402257,
-0.01616508513689041,
0.07663671672344208,
0.03786471113562584,
-0.023408373817801476,
0.0005760418716818094,
-0.006165868602693081,
-0.0261000357568264,
-0.028519505634903908,
-0.0010263846488669515,
0.01521241944283247,
-0.06351109594106674,
-0.008694970980286598,
0.0005566671607084572,
-0.006430498324334621,
-0.0005457984516397119,
-0.005220763385295868,
-0.007674257270991802,
0.00040852188249118626,
0.03520329296588898,
-0.0352637805044651,
0.007466333918273449,
0.027733176946640015,
-0.02106451243162155,
0.04228024184703827,
-0.034326232969760895,
0.016180207952857018,
-0.03233017027378082,
0.009451055899262428,
0.02351422607898712,
0.003523353487253189,
-0.01714799553155899,
-0.001067024189978838,
0.02948729321360588,
0.04760307818651199,
0.033479418605566025,
-0.021669380366802216,
0.015461927279829979,
0.03804617002606392,
-0.01245271135121584,
-0.061454545706510544,
-0.01547704916447401,
0.03239065781235695,
-0.014161461964249611,
-0.00846814550459385,
-0.018599677830934525,
0.022909358143806458,
0.005508075468242168,
0.0065930564887821674,
0.01469828188419342,
0.007833034731447697,
-0.029638510197401047,
0.04240121692419052,
-0.07131388783454895,
0.0010953773744404316,
-0.019189422950148582,
0.04267340525984764,
-0.05474051460623741,
-0.03925590589642525,
-0.02080744504928589,
0.027158552780747414,
-0.025147369131445885,
0.007277312688529491,
-0.05522440746426582,
-0.009405690245330334,
0.04766356572508812,
0.00864204578101635,
-0.06393450498580933,
0.022879116237163544,
0.026825876906514168,
0.00928471703082323,
-0.013269281946122646,
-0.005114911124110222,
0.005908799823373556,
0.013004652224481106,
0.006252818275243044,
0.03698765113949776,
0.0011577543336898088,
0.007817912846803665,
-0.01033567450940609,
0.04929670691490173,
-0.04273389279842377,
0.07585038989782333,
0.009541786275804043,
-0.0305609330534935,
0.013352451846003532,
0.053923942148685455,
0.03577791526913643,
0.06075894832611084,
0.0147663289681077,
0.056010738015174866,
0.03099946305155754,
0.019113814458251,
0.02971411868929863,
-0.02008160389959812,
0.0354754813015461,
0.02761220373213291,
0.04067734256386757,
0.017132874578237534,
0.030727272853255272,
0.059095561504364014,
0.02811121940612793,
-0.018327487632632256,
0.038862742483615875,
0.03462866693735123,
0.006128064356744289,
0.024043485522270203,
-0.008211077190935612,
0.023892268538475037,
-0.04702845215797424,
0.07458017021417618,
-0.00815059058368206,
0.008226199075579643,
-0.023242035880684853,
0.007572185713797808,
-0.0003144838847219944,
0.01915917918086052,
-0.0077952309511601925,
-0.03523353487253189,
-0.006120503880083561,
-0.0019213996129110456,
0.0505971722304821,
0.0169362910091877,
0.0028296459931880236,
0.012906361371278763,
0.07893522083759308,
-0.0070807309821248055,
-0.0034798786509782076,
-0.001796645694412291,
-0.06260379403829575,
-0.003105616895481944,
-0.08298783004283905,
-0.009927389211952686,
-0.030757514759898186,
-0.008294246159493923,
0.019854778423905373,
-0.0169362910091877,
-0.018387973308563232,
0.00147247442509979,
-0.023892268538475037,
-0.003689692122861743,
-0.09532713145017624,
0.025979062542319298,
0.020202577114105225,
-0.0032209197524935007,
0.01932551898062229,
0.01167394407093525,
-0.006940855178982019,
-0.0032606141176074743,
-0.020368915051221848,
0.004226512275636196,
-0.0028334264643490314,
-0.014373165555298328,
-0.007659135386347771,
-0.01772261969745159,
0.006025993265211582,
-0.03716911002993584,
0.0077309636399149895,
-0.0217449888586998,
-0.07421725243330002,
-0.024073729291558266,
-0.020157212391495705,
-0.0021888643968850374,
0.00622635567560792,
0.04515336453914642,
0.010834690183401108,
-0.017571402713656425,
0.043096814304590225,
0.03202773630619049,
-0.005836972035467625,
0.010796885937452316,
-0.0013278733240440488,
-0.0036481074057519436,
-0.057039011269807816,
0.05622243881225586,
0.016195328906178474,
0.010010558180510998,
0.004389070440083742,
-0.031695060431957245,
0.004336144309490919,
-0.019401127472519875,
-0.01719336025416851,
-0.020414279773831367,
-0.0012475393014028668,
0.03562669828534126,
0.024920543655753136,
-0.03462866693735123,
-0.006094040814787149,
-0.0322696827352047,
-0.015968503430485725,
-0.010675912722945213,
-0.03780422359704971,
0.030712150037288666,
-0.02172986790537834,
-0.008740336634218693,
0.018508948385715485,
0.007356701884418726,
0.020656228065490723,
-0.003096165833994746,
0.016648979857563972,
-0.10167823731899261,
0.03474964201450348,
0.018720651045441628,
0.04542555287480354,
0.043278273195028305,
-0.018055297434329987,
0.011431996710598469,
-0.0005817124620079994,
-0.014615112915635109,
-0.020837686955928802,
-0.003547926200553775,
-0.007386945188045502,
0.016543127596378326,
0.021049391478300095,
0.009352765046060085,
-0.014153900556266308,
0.007420968730002642,
-0.04600017890334129,
0.025585897266864777,
0.015696313232183456,
0.0354754813015461,
0.0031793350353837013,
-0.010585182346403599,
-0.0725841075181961,
-0.011008589528501034,
-0.03544523939490318,
-0.0172840915620327,
0.01062298659235239,
-0.03834860399365425,
0.022395221516489983,
0.018902111798524857,
-0.0063322074711322784,
-0.028217071667313576,
-0.0069295139983296394,
0.03459842503070831,
0.07306800037622452,
0.0398305281996727,
-0.01010884903371334,
0.011825161054730415,
-0.009980314411222935,
0.01590801775455475,
-0.02570687234401703,
0.05413564667105675,
0.0015074433758854866,
0.021185485646128654,
-0.015787042677402496,
-0.030364351347088814,
-0.02957802452147007,
0.007345360703766346,
-0.03369112312793732,
-0.01847870461642742,
0.0006459796568378806,
-0.027370257303118706,
-0.023846903815865517,
-0.00004654645090340637,
-0.008657166734337807,
0.014494138769805431,
0.024134214967489243,
-0.025238098576664925,
0.02833804488182068,
0.029593145474791527,
0.0202630627900362,
0.03750178962945938,
-0.03538475185632706,
-0.005545879248529673,
-0.000823186943307519,
0.04527433589100838,
0.012619049288332462,
-0.0146529171615839,
-0.024935664609074593,
-0.020595740526914597,
0.00008257859735749662,
-0.01790408045053482,
0.044971901923418045,
0.042340729385614395,
-0.05474051460623741,
0.006184770725667477,
-0.05734144523739815,
0.01336757279932499,
-0.01191589143127203,
-0.018675286322832108,
0.013911954127252102,
-0.007473894860595465,
0.03042483888566494,
-0.03889298439025879,
0.014690721407532692,
-0.03653400018811226,
0.03202773630619049,
0.021261094138026237,
-0.029018521308898926,
-0.019885020330548286,
0.010055922903120518,
-0.01723872497677803,
-0.020368915051221848,
0.02147279866039753,
0.02486005611717701,
0.0037237158976495266,
-0.021261094138026237,
-0.04191732034087181,
-0.030712150037288666,
0.01082712970674038,
-0.03130189701914787,
-0.03242089971899986,
-0.0024308115243911743,
0.027279527857899666,
0.005069546401500702,
0.026568807661533356,
-0.010509573854506016,
-0.005481612402945757,
0.00654769130051136,
-0.015529974363744259,
0.007923765107989311,
0.0015953382244333625,
-0.016180207952857018,
-0.042915355414152145,
0.018508948385715485,
-0.05616195499897003,
0.01950697973370552,
-0.07548747211694717,
-0.004827599041163921,
0.0201420895755291,
-0.03644327074289322,
-0.02280350774526596,
-0.056282926350831985,
0.01499315444380045,
0.0020092944614589214,
0.019265031442046165,
0.030455082654953003,
-0.029971187934279442,
-0.024134214967489243,
0.013662446290254593,
0.022879116237163544,
-0.030545812100172043,
-0.013518789783120155,
-0.030802881345152855,
-0.036775946617126465,
0.011265658773481846,
-0.030394595116376877,
0.011946134269237518,
-0.016633858904242516,
0.017087507992982864,
-0.020414279773831367,
-0.0013590618036687374,
0.011144684627652168,
0.01029030978679657,
-0.02833804488182068,
-0.006963538005948067,
-0.04273389279842377,
-0.005009059328585863,
-0.014577308669686317,
-0.031604330986738205,
0.010789325460791588,
-0.03849982097744942,
0.02681075409054756,
0.010146653279662132,
-0.0011643701000139117,
-0.012566124089062214,
0.01950697973370552,
0.0370783805847168,
0.008853749372065067,
0.03605010733008385,
0.007594868540763855,
0.010229822248220444,
-0.026795633137226105,
-0.0007631727494299412,
0.010653230361640453,
0.008989844471216202,
0.004782234318554401,
0.015023398213088512,
-0.012959287501871586,
0.0010509573621675372,
-0.01884162425994873,
-0.005311493296176195,
-0.024512257426977158,
0.07173728942871094,
0.02124597318470478,
0.022727899253368378,
-0.014615112915635109,
0.06036578118801117,
0.017268968746066093,
-0.026039548218250275,
-0.023771295323967934,
0.044608984142541885,
0.027340013533830643,
-0.006490984931588173,
-0.02508688159286976,
-0.004192488268017769,
0.005398442968726158,
-0.017888957634568214,
0.022909358143806458,
-0.043187543749809265,
-0.03069702908396721,
-0.05434735119342804,
-0.04176610708236694,
0.044034358114004135,
0.012120033614337444,
0.008430341258645058,
-0.04128221049904823,
-0.00957958959043026,
-0.05498246103525162,
0.03220919892191887,
0.011704186908900738,
-0.02000599540770054,
-0.013753176666796207,
-0.01929527521133423,
0.018327487632632256,
0.04494166001677513,
0.010759081691503525,
-0.014531943015754223,
0.013813663274049759,
-0.00010862806811928749,
0.040072474628686905,
0.008347172290086746,
-0.0186601635068655,
-0.006105381995439529,
0.007613770663738251,
0.01227125059813261,
0.015121689066290855,
0.03069702908396721,
0.0186601635068655,
0.028579993173480034,
-0.008853749372065067,
0.025464924052357674,
0.020822566002607346,
0.01705726608633995,
-0.007288654334843159,
-0.03242089971899986,
-0.012671975418925285,
0.02646295540034771,
-0.05682730674743652,
-0.030031675472855568,
0.01879625953733921,
-0.03786471113562584,
-0.013707811012864113,
-0.029925823211669922,
-0.0629667118191719,
-0.004982596728950739,
-0.06429742276668549,
0.02271277643740177,
0.01469828188419342,
-0.00409797765314579,
-0.04720991477370262,
-0.05274445191025734,
0.03780422359704971,
-0.0010509573621675372,
0.03780422359704971,
0.08050787448883057,
0.04660504683852196,
0.05595025047659874,
-0.012944165617227554,
-0.015484609641134739,
-0.02337813191115856,
-0.05038546770811081,
-0.000033846594305941835,
-0.0012598257744684815,
-0.0462421253323555,
0.05389370024204254,
-0.045365069061517715,
-0.035656943917274475,
-0.01095566339790821,
0.06459985673427582,
0.03977004066109657,
-0.01082712970674038,
0.028519505634903908,
-0.00786327850073576,
-0.0393768772482872,
-0.00245538423769176,
0.0077649871818721294,
0.01146980095654726,
0.008831066079437733,
-0.005394662730395794,
0.0005089393234811723,
-0.015605582855641842,
0.029154617339372635,
0.014342921786010265,
0.0077952309511601925,
-0.025994183495640755,
-0.0021170363761484623,
-0.02257668226957321,
-0.04596993327140808,
0.025283463299274445,
0.010146653279662132,
-0.029880458489060402,
0.018947476521134377,
0.02089817449450493,
-0.005572342313826084,
-0.029124373570084572,
-0.015877773985266685,
-0.010834690183401108,
0.04409484565258026,
-0.018902111798524857,
0.05555708706378937,
0.014841937460005283,
0.0008255497086793184,
-0.02133670262992382,
-0.0033116498962044716,
0.03462866693735123,
-0.0070920721627771854,
0.0021075853146612644,
0.062301360070705414,
0.008989844471216202,
-0.019854778423905373,
-0.00002031977055594325,
-0.014819255098700523,
0.0014119877014309168,
0.018766015768051147,
0.012490515597164631,
-0.010585182346403599,
0.006638421677052975,
-0.002347642323002219,
0.03611059486865997,
0.00840009842067957,
-0.00198283139616251,
0.004528945777565241,
0.045637257397174835,
0.029320955276489258,
-0.04720991477370262,
0.014176583848893642,
0.027808785438537598,
0.03741106018424034,
0.026039548218250275,
-0.02236497774720192,
-0.0009635351016186178,
0.043762169778347015,
0.03269309177994728,
-0.05558732897043228,
-0.06124284118413925,
0.001885485602542758,
-0.05238153040409088,
-0.027430744841694832,
-0.037259843200445175,
-0.047058697789907455,
0.05286542326211929,
0.025449803099036217,
-0.02672002464532852,
0.024708839133381844,
0.02355959080159664,
0.05340980738401413,
-0.05679706484079361,
0.052986398339271545,
-0.017178239300847054,
-0.018009930849075317,
-0.031150680035352707,
-0.041493915021419525,
-0.019945507869124413,
-0.04787526652216911,
0.010607864707708359,
0.03765300661325455,
-0.0201420895755291,
-0.006305744405835867,
0.024482015520334244,
-0.01611972041428089,
-0.044699713587760925,
0.01973380520939827,
-0.0025876990985125303,
-0.077362559735775,
-0.0277029350399971,
0.030016552656888962,
-0.02476932667195797,
0.03853006288409233,
-0.022380100563168526,
0.023771295323967934,
-0.03562669828534126,
0.012165399268269539,
-0.007299995515495539,
0.005727339535951614,
0.039981745183467865,
0.02044452354311943,
-0.028806818649172783,
0.03532426431775093,
-0.010373478755354881,
-0.02284887246787548,
-0.004449557047337294,
-0.021684501320123672,
-0.002207766519859433,
0.020610861480236053,
-0.015938259661197662,
0.0032851870637387037,
0.02690148539841175,
0.006400255020707846,
-0.05162544548511505,
-0.008203516714274883,
-0.0201420895755291,
-0.012815631926059723,
-0.007916204631328583,
0.03335844725370407,
0.034810129553079605,
-0.024739082902669907,
0.04391338676214218,
-0.016906049102544785,
0.002149170031771064,
0.001298575079999864,
0.002357093384489417,
0.016467519104480743,
-0.010169335640966892,
-0.02975948341190815,
-0.012815631926059723,
-0.03266284987330437,
0.0034156115725636482,
0.012369541451334953,
-0.025374194607138634,
-0.003043239936232567,
0.025767358019948006,
-0.010524695739150047,
-0.034144774079322815,
0.0361710786819458,
-0.044699713587760925,
-0.04857086390256882,
0.02396787703037262,
-0.020111845806241035,
0.011416874825954437,
0.021533286198973656,
-0.013397816568613052,
0.0015121689066290855,
-0.003045130055397749,
0.020278185606002808,
0.02641759067773819,
0.04754259064793587,
-0.0015764361014589667,
0.006309524644166231,
-0.008271563798189163,
-0.02227424830198288,
0.02850438468158245,
0.0389232262969017,
-0.03862079232931137,
-0.030092161148786545,
-0.018599677830934525,
0.03722959756851196,
0.015363636426627636,
-0.0019525880925357342,
-0.00904276967048645,
-0.03326771780848503,
0.02348398230969906,
0.003604632569476962,
0.02779366448521614,
-0.0038862740620970726,
-0.06417644768953323,
0.002941168611869216,
-0.07681818306446075,
-0.05262347683310509,
0.011507605202496052,
0.015083884820342064,
-0.02236497774720192,
-0.015741677954792976,
-0.017979688942432404,
0.03741106018424034,
0.05123228207230568,
-0.005765143781900406,
0.02740050107240677,
0.03880225494503975,
0.0029260467272251844,
-0.00408663647249341,
-0.04727039858698845,
0.03925590589642525,
0.019809411838650703,
0.02516249008476734,
-0.003977004438638687,
-0.04113099351525307,
-0.01420682668685913,
0.028852183371782303,
0.042159270495176315,
-0.02575223706662655,
-0.02124597318470478,
-0.02980484999716282,
0.034810129553079605,
0.016558250412344933,
-0.002149170031771064,
-0.019627952948212624,
0.03242089971899986,
-0.02053525298833847,
0.005315273534506559,
-0.01340537704527378,
-0.020731836557388306,
0.023045454174280167,
0.011144684627652168,
0.054196134209632874,
-0.003710484365001321,
-0.014025366865098476,
-0.016860682517290115,
-0.02293960191309452,
0.04675626382231712,
-0.060426268726587296,
-0.011462240479886532,
0.012679535895586014,
0.05313761532306671,
0.04249194636940956,
0.00028849346563220024,
0.01599874719977379,
0.010721277445554733,
0.020429402589797974,
0.009980314411222935,
0.0034647569991648197,
0.01991526409983635,
0.03544523939490318,
0.0037482886109501123,
-0.06302720308303833,
-0.03614083677530289,
0.043943628668785095,
-0.03323747217655182,
-0.011794917285442352,
0.009413251653313637,
-0.03529402241110802,
-0.06447888165712357,
-0.05096009373664856,
-0.02575223706662655,
-0.05171617493033409,
-0.00868741050362587,
0.005080887582153082,
-0.009806415066123009,
-0.06351109594106674,
0.05728095769882202,
0.008188394829630852,
0.01776798442006111,
0.05347029119729996,
0.02428543195128441,
0.04430655017495155,
0.07252362370491028,
0.028761452063918114,
-0.007201704662293196,
0.014615112915635109,
-0.030893610790371895,
-0.03719935566186905,
0.015250223688781261,
-0.025979062542319298,
0.061091624200344086,
0.018992841243743896,
-0.016739709302783012,
-0.01670946553349495,
0.005984408315271139,
0.005039303097873926,
0.0016841781325638294,
-0.026402469724416733,
-0.05168593302369118,
0.0011549190385267138,
-0.019491856917738914,
0.0029789728578180075,
-0.0032322609331458807,
-0.011106880381703377,
0.03523353487253189,
0.007772548124194145,
-0.004472239408642054,
-0.03360039368271828,
-0.009519102983176708,
-0.06081943213939667,
0.029819970950484276,
-0.02570687234401703,
-0.0024667256511747837,
-0.042249999940395355,
-0.024890299886465073,
0.00982153695076704,
0.05020400881767273,
-0.0020792323630303144,
-0.03133213892579079,
0.06106138229370117,
0.03514280542731285,
-0.017616767436265945,
0.04342949017882347,
-0.03148335590958595,
-0.0517464205622673,
0.03586864471435547,
0.06308768689632416,
-0.005375760607421398,
0.06290622800588608,
0.06538618355989456,
0.06544666737318039,
-0.04209878295660019,
-0.00541356485337019,
-0.0059957499615848064,
-0.029336076229810715,
0.03441696614027023,
-0.01769237592816353,
-0.002723794197663665,
-0.026296617463231087,
-0.036594487726688385,
-0.008982283063232899,
0.0024875178933143616,
-0.02330252341926098,
0.0028296459931880236,
-0.040072474628686905,
0.004956133663654327,
-0.03710862621665001,
0.02422494627535343,
-0.03608034923672676,
-0.025056639686226845,
0.002154840622097254,
0.004714186768978834,
0.02000599540770054,
-0.07179778069257736,
0.2709806561470032,
0.052804939448833466,
0.002404348459094763,
0.04654455929994583,
0.02672002464532852,
0.01710263080894947,
-0.0019166740821674466,
-0.05159520357847214,
-0.035082317888736725,
-0.000820351648144424,
0.009095695801079273,
-0.023846903815865517,
-0.017828471958637238,
0.01986989937722683,
0.0239225123077631,
0.010146653279662132,
-0.03695740923285484,
-0.011091758497059345,
0.009080573916435242,
-0.04339924827218056,
-0.058158017694950104,
0.04518360644578934,
0.05719022825360298,
0.0007007957901805639,
0.04521385207772255,
-0.010328114032745361,
-0.006041114684194326,
-0.025449803099036217,
-0.025177612900733948,
-0.05513367801904678,
-0.015030958689749241,
-0.023907391354441643,
0.03901395946741104,
0.0072432891465723515,
-0.0184333398938179,
0.054861489683389664,
0.001992282457649708,
0.006131845060735941,
-0.024073729291558266,
-0.030394595116376877,
-0.013647324405610561,
0.004963694605976343,
-0.01928015425801277,
0.0031339700799435377,
-0.01826700009405613,
0.008143029175698757,
-0.025313707068562508,
0.010660790838301182,
0.01680019684135914,
-0.0725841075181961,
0.010418843477964401,
-0.07197923958301544,
0.024965908378362656,
0.0022399001754820347,
-0.05945848301053047,
0.016739709302783012,
-0.01946161314845085,
0.017405064776539803,
0.01666410081088543,
0.07766499370336533,
0.031120436266064644,
0.024784447625279427,
0.015242662280797958,
0.007572185713797808,
-0.025585897266864777,
0.003973223734647036,
-0.013246599584817886,
0.03083312325179577,
-0.0008326380047947168,
0.012445149943232536,
0.020731836557388306,
-0.05649463087320328,
-0.010925420559942722,
0.0006114832940511405,
0.02348398230969906,
0.02424006722867489,
-0.02401324175298214,
0.03127165138721466,
-0.03871152549982071,
-0.01595338247716427,
0.019748926162719727,
-0.027415622025728226,
-0.005984408315271139,
0.03747154399752617,
0.027098067104816437,
0.05885361507534981,
-0.015250223688781261,
-0.02623612992465496,
-0.011568091809749603,
0.01680019684135914,
0.00114735821262002,
0.04155440255999565,
0.016316302120685577,
-0.074640654027462,
-0.04004223272204399
] |
1209_9 | Relation of area to perimeter
The isoperimetric inequality states that, for a closed curve of length L (so the region it encloses has perimeter L) and for area A of the region that it encloses,
and equality holds if and only if the curve is a circle. Thus a circle has the largest area of any closed figure with a given perimeter.
At the other extreme, a figure with given perimeter L could have an arbitrarily small area, as illustrated by a rhombus that is "tipped over" arbitrarily far so that two of its angles are arbitrarily close to 0° and the other two are arbitrarily close to 180°.
For a circle, the ratio of the area to the circumference (the term for the perimeter of a circle) equals half the radius r. This can be seen from the area formula πr2 and the circumference formula 2πr.
The area of a regular polygon is half its perimeter times the apothem (where the apothem is the distance from the center to the nearest point on any side).
Fractals
Doubling the edge lengths of a polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the dimension of the space the polygon resides in). But if the one-dimensional lengths of a fractal drawn in two dimensions are all doubled, the spatial content of the fractal scales by a power of two that is not necessarily an integer. This power is called the fractal dimension of the fractal.
Area bisectors
There are an infinitude of lines that bisect the area of a triangle. Three of them are the medians of the triangle (which connect the sides' midpoints with the opposite vertices), and these are concurrent at the triangle's centroid; indeed, they are the only area bisectors that go through the centroid. Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter (the center of its incircle). There are either one, two, or three of these for any given triangle. | [
-0.03086760640144348,
0.008747813291847706,
0.04287997633218765,
-0.03487172722816467,
-0.02492118440568447,
0.03475220128893852,
0.04544978588819504,
0.010622878558933735,
-0.021992795169353485,
0.10273265093564987,
0.0474817268550396,
-0.003873391542583704,
-0.017540449276566505,
-0.03714272379875183,
-0.052173126488924026,
0.031046895310282707,
-0.030538909137248993,
-0.006394644267857075,
-0.04090779647231102,
0.03415457159280777,
0.010301652364432812,
-0.011459561064839363,
-0.04864710941910744,
-0.02662442997097969,
-0.010070070624351501,
0.03382587432861328,
0.05880682170391083,
0.03645544871687889,
0.05247194319963455,
0.07028132677078247,
-0.008956984616816044,
-0.0021066467743366957,
-0.010996397584676743,
-0.037292130291461945,
-0.012042250484228134,
-0.002369977766647935,
0.046107180416584015,
-0.05097786709666252,
0.010944104753434658,
-0.02466719038784504,
0.04637611284852028,
-0.03248120844364166,
0.04120660945773125,
-0.02375580556690693,
-0.01040623802691698,
0.03603710979223251,
-0.02262030728161335,
-0.018436895683407784,
-0.011295213364064693,
-0.08749307692050934,
-0.0329294316470623,
0.018601244315505028,
0.02043895609676838,
-0.011631379835307598,
-0.014492535032331944,
-0.01643483340740204,
0.0028667578008025885,
-0.03355694189667702,
0.018018554896116257,
0.03026997484266758,
-0.028835663571953773,
0.002943329280242324,
-0.017316337674856186,
-0.05543021112680435,
0.009450029581785202,
0.011788258329033852,
0.011220509186387062,
-0.020394135266542435,
0.039802178740501404,
-0.05014118179678917,
0.005262881983071566,
-0.0012503546895459294,
0.03161464259028435,
-0.033527061343193054,
-0.032032985240221024,
0.04120660945773125,
0.01794384978711605,
-0.02855178900063038,
-0.035379715263843536,
0.010929164476692677,
0.01644977368414402,
0.015837203711271286,
-0.05438435822725296,
0.0261762086302042,
-0.010652760043740273,
-0.01497063972055912,
-0.016345189884305,
0.011556676588952541,
0.044493578374385834,
-0.023920154199004173,
0.006674783769994974,
0.020887179300189018,
0.028880484402179718,
0.036156635731458664,
0.022112321108579636,
0.0026052945759147406,
-0.0016967097762972116,
0.029448233544826508,
0.008381765335798264,
-0.02604174055159092,
0.04601753503084183,
0.03950336202979088,
-0.019228754565119743,
0.05880682170391083,
-0.03645544871687889,
0.03624627739191055,
-0.043358080089092255,
0.0137081453576684,
0.008747813291847706,
-0.02731170505285263,
0.009898251853883266,
-0.03603710979223251,
0.052740875631570816,
-0.001368946977891028,
0.04583824425935745,
0.0008478880045004189,
-0.03269037976861,
0.003981711808592081,
-0.01928851753473282,
-0.020289549604058266,
-0.010727464221417904,
0.01930345967411995,
-0.009995367377996445,
0.0058605121448636055,
-0.010212007910013199,
-0.002341963816434145,
0.020259667187929153,
0.011123394593596458,
-0.057193219661712646,
0.01520222146064043,
0.00011269767128396779,
0.02397991716861725,
-0.02158939465880394,
0.018541481345891953,
0.011967547237873077,
0.02583257108926773,
-0.03738177567720413,
0.05713345855474472,
0.04001135006546974,
-0.00520311901345849,
0.027849571779370308,
-0.012617469765245914,
0.018601244315505028,
0.0420432910323143,
0.020199904218316078,
-0.028148388490080833,
0.01792890951037407,
-0.026534786447882652,
-0.010182126425206661,
-0.004934185184538364,
-0.01183308009058237,
0.01643483340740204,
-0.029552819207310677,
-0.011750905774533749,
-0.005871717818081379,
0.011549205519258976,
-0.03412469103932381,
0.02000567503273487,
-0.009502322413027287,
0.013655852526426315,
0.006357292644679546,
-0.0422823429107666,
0.009898251853883266,
0.02021484449505806,
-0.03358682245016098,
0.04350748658180237,
-0.05495210736989975,
-0.022919122129678726,
0.017047405242919922,
-0.005382407922297716,
0.023262759670615196,
0.014014431275427341,
-0.026430200785398483,
-0.024502843618392944,
0.03313859924674034,
0.051814548671245575,
0.014447713270783424,
-0.05046987906098366,
-0.005132150370627642,
0.006925041321665049,
-0.049065448343753815,
-0.060510069131851196,
0.0039518303237855434,
0.010279241017997265,
-0.04464298486709595,
0.005946421530097723,
-0.0317341685295105,
-0.015523447655141354,
0.021111290901899338,
-0.0034289038740098476,
0.008112831972539425,
0.006652372423559427,
-0.030927369371056557,
0.0076944902539253235,
-0.03830810263752937,
0.011788258329033852,
-0.06316952407360077,
0.039802178740501404,
-0.023860391229391098,
-0.06627719849348068,
-0.012961107306182384,
0.01997579261660576,
0.017973732203245163,
0.03355694189667702,
-0.04162495210766792,
-0.0005131216603331268,
0.0012783686397597194,
0.037053078413009644,
-0.03678414598107338,
-0.032152511179447174,
0.021529631689190865,
-0.024622369557619095,
-0.03260073438286781,
0.028372500091791153,
-0.007911131717264652,
-0.003557767951861024,
-0.001462326617911458,
0.037889763712882996,
-0.02547399140894413,
0.016494596377015114,
-0.01267723273485899,
0.04649563878774643,
-0.02648996375501156,
0.03857703506946564,
0.000973016838543117,
0.027744987979531288,
-0.02421896904706955,
0.022709952667355537,
0.00485201133415103,
0.0429995022714138,
0.016300367191433907,
0.02755075693130493,
0.019049465656280518,
-0.0013017135206609964,
0.02545905113220215,
0.022934062406420708,
0.016255544498562813,
0.02959764190018177,
-0.009323032572865486,
0.03735189512372017,
0.037322014570236206,
0.07858838886022568,
0.057282865047454834,
-0.0292540043592453,
0.004523314535617828,
0.05184442922472954,
0.011100983247160912,
-0.0007839229074306786,
-0.02079753577709198,
0.035260189324617386,
-0.03914478421211243,
0.03496137261390686,
0.006615020334720612,
-0.03304895758628845,
-0.05064916983246803,
-0.0079933051019907,
-0.027834631502628326,
-0.015732618048787117,
-0.02648996375501156,
-0.045629072934389114,
-0.014641942456364632,
-0.012124424800276756,
0.02626585215330124,
0.02034931257367134,
-0.014231071807444096,
0.03523030877113342,
0.029851634055376053,
0.0013017135206609964,
-0.03780011832714081,
0.0029620053246617317,
-0.07255232334136963,
0.015179810114204884,
-0.06974345445632935,
0.0034718585666269064,
-0.011437149718403816,
-0.02203761786222458,
0.03248120844364166,
-0.006577668711543083,
0.033407535403966904,
-0.00574472127482295,
-0.03917466849088669,
0.02203761786222458,
-0.10309123247861862,
0.012535295449197292,
0.004358965903520584,
0.009786196053028107,
-0.04568883776664734,
0.02663937211036682,
-0.0354095958173275,
0.05166514217853546,
-0.029761990532279015,
-0.02572798542678356,
-0.025892334058880806,
-0.01715199090540409,
-0.0014259085291996598,
0.006577668711543083,
0.03555900231003761,
-0.017659975215792656,
0.016419893130660057,
-0.05268111079931259,
-0.027266882359981537,
-0.0019217550288885832,
-0.012453122064471245,
0.017674917355179787,
-0.04111696407198906,
0.05166514217853546,
0.0075226714834570885,
0.00596883287653327,
0.03881609067320824,
-0.0021981589961797,
-0.01251288503408432,
0.020409075543284416,
-0.014148897491395473,
0.019393103197216988,
-0.037650708109140396,
0.04443381354212761,
0.011414739303290844,
0.009494851343333721,
0.03723236918449402,
-0.027162298560142517,
0.046764571219682693,
-0.006704665254801512,
-0.019826386123895645,
-0.017630094662308693,
0.021171053871512413,
0.03986194357275963,
0.02523493953049183,
-0.023217936977744102,
0.002222437644377351,
-0.022904181852936745,
-0.03062855452299118,
0.02308347076177597,
-0.028133446350693703,
0.03920454904437065,
0.020827416330575943,
0.0045644016936421394,
0.002129057887941599,
-0.007212650962173939,
0.025847511366009712,
0.01885523647069931,
0.04613706097006798,
-0.04718291386961937,
0.010047659277915955,
0.019512629136443138,
0.005722310394048691,
0.014387949369847775,
0.010525763966143131,
0.019557451829314232,
-0.006895159836858511,
0.004556931089609861,
-0.013857552781701088,
-0.00038845970993861556,
-0.022769715636968613,
0.0274162907153368,
-0.021888209506869316,
0.011213039048016071,
-0.030987132340669632,
-0.003240276826545596,
-0.035140663385391235,
0.02251572161912918,
0.02239619567990303,
-0.012318654917180538,
-0.010727464221417904,
0.003449447453022003,
-0.04727255925536156,
-0.05653582885861397,
-0.009151213802397251,
-0.007679549511522055,
0.015179810114204884,
-0.014387949369847775,
0.02695312723517418,
0.05988255888223648,
0.0013810863019898534,
-0.01975168101489544,
0.00011497380182845518,
0.0420432910323143,
0.04054921865463257,
0.016748590394854546,
0.009472440928220749,
-0.010144774802029133,
-0.022829478606581688,
0.011586558073759079,
0.01086193136870861,
0.021619277074933052,
0.020857298746705055,
0.029866574332118034,
-0.03543947637081146,
-0.026071622967720032,
-0.04512108862400055,
-0.002080500591546297,
-0.024144263938069344,
0.003189851762726903,
-0.01210201345384121,
-0.02720711939036846,
-0.03006080538034439,
0.012774348258972168,
0.010226949118077755,
0.05271099507808685,
0.02158939465880394,
-0.03071819804608822,
0.011504383757710457,
0.023143233731389046,
0.0038771266117691994,
0.06092841178178787,
-0.03119630180299282,
0.014477594755589962,
-0.003529754001647234,
0.04790006950497627,
-0.02112623117864132,
-0.010667701251804829,
-0.03472232073545456,
-0.0037407921627163887,
-0.024502843618392944,
-0.024248849600553513,
0.028536846861243248,
0.054772816598415375,
-0.05271099507808685,
-0.013850082643330097,
-0.06086864694952965,
-0.02844720333814621,
-0.013730556704103947,
-0.05297992751002312,
0.03543947637081146,
0.015344158746302128,
0.023232879117131233,
-0.014253483153879642,
0.01792890951037407,
-0.04075838625431061,
0.022455958649516106,
0.035917580127716064,
-0.01964709721505642,
-0.029642462730407715,
-0.006880219094455242,
-0.020140141248703003,
0.005673752631992102,
-0.007836427539587021,
0.013394389301538467,
-0.02811850607395172,
-0.022485841065645218,
-0.01715199090540409,
-0.023352405056357384,
0.04512108862400055,
-0.011683672666549683,
-0.0486769899725914,
-0.00009962450712919235,
0.035588886588811874,
-0.01863112486898899,
0.05336838588118553,
-0.0033952873200178146,
0.03543947637081146,
-0.004063886124640703,
-0.010204537771642208,
-0.01643483340740204,
-0.009315562434494495,
-0.036485329270362854,
-0.03508089855313301,
-0.023143233731389046,
-0.029776930809020996,
0.03026997484266758,
-0.052830521017313004,
-0.009009277448058128,
0.0039929174818098545,
-0.03561876714229584,
0.003682896727696061,
-0.03875632584095001,
0.017525508999824524,
-0.0194229856133461,
0.02423390932381153,
0.04368677735328674,
-0.0019385633058845997,
0.00863575842231512,
-0.015418861992657185,
0.007335911970585585,
-0.005109739024192095,
0.03460279479622841,
-0.04285009205341339,
-0.012191658839583397,
0.0014165706234052777,
-0.020379193127155304,
0.014133957214653492,
0.008135242387652397,
0.011340035125613213,
-0.010884341783821583,
0.019363222643733025,
-0.027237001806497574,
0.010996397584676743,
-0.0011709819082170725,
-0.018078317865729332,
-0.019587334245443344,
0.02880578115582466,
-0.006928776390850544,
-0.037740353494882584,
0.023098411038517952,
-0.05372696369886398,
0.058209192007780075,
-0.03119630180299282,
0.00016878388123586774,
0.012811699882149696,
0.009113862179219723,
0.010832049883902073,
0.041176728904247284,
0.05339827015995979,
-0.014634472317993641,
0.006921306252479553,
-0.012034780345857143,
-0.01068264152854681,
-0.02272489294409752,
0.0020730302203446627,
0.0032738936133682728,
0.01943792589008808,
-0.0024129324592649937,
0.00844899844378233,
-0.02306853048503399,
0.00310020730830729,
0.010114893317222595,
0.054115425795316696,
0.05402578040957451,
-0.009621848352253437,
0.0001000914053292945,
0.03050902672111988,
0.0024390786420553923,
-0.057970140129327774,
0.012707114219665527,
0.0587470605969429,
-0.0043029384687542915,
-0.01589696668088436,
-0.041087083518505096,
0.000959009921643883,
-0.009188566356897354,
-0.0180633757263422,
-0.0018096993444487453,
-0.035588886588811874,
-0.052621349692344666,
-0.025981977581977844,
-0.010085011832416058,
-0.012953637167811394,
0.026131385937333107,
-0.01040623802691698,
-0.006103299558162689,
-0.006839131936430931,
-0.04903556779026985,
0.018377132713794708,
0.019691918045282364,
0.02846214361488819,
-0.032839786261320114,
0.014425301924347878,
-0.026997949928045273,
0.029732108116149902,
-0.020080378279089928,
0.00009057834540726617,
0.024712013080716133,
-0.0035241511650383472,
0.019228754565119743,
-0.009076510556042194,
-0.003258952870965004,
-0.006461877841502428,
-0.028955189511179924,
0.0017424658872187138,
0.02626585215330124,
0.054115425795316696,
-0.0009786196751520038,
0.020379193127155304,
-0.0020375458989292383,
0.045419905334711075,
0.021215876564383507,
0.03212263062596321,
0.02823803201317787,
-0.03257085382938385,
0.03209274634718895,
0.03427409753203392,
-0.028193209320306778,
0.015926847234368324,
0.019796503707766533,
-0.010025248862802982,
-0.019587334245443344,
-0.0447625108063221,
-0.02834261767566204,
-0.019945912063121796,
-0.06352810561656952,
0.049991775304079056,
0.004418729338794947,
-0.01051829382777214,
-0.08271203190088272,
-0.027356527745723724,
0.08044104278087616,
-0.01078722719103098,
0.019512629136443138,
0.047362200915813446,
0.03529006987810135,
0.041087083518505096,
0.0041572656482458115,
0.00982354860752821,
0.0034326391760259867,
-0.038786206394433975,
-0.002123455284163356,
-0.03052396886050701,
-0.04383618384599686,
0.01691293716430664,
-0.03621639683842659,
-0.0484379380941391,
-0.009106392040848732,
0.020155081525444984,
0.004403788596391678,
-0.032032985240221024,
-0.009233388118445873,
-0.07111800462007523,
-0.03325812518596649,
-0.005333850625902414,
0.06968369334936142,
0.001462326617911458,
0.01017465628683567,
0.027505936101078987,
0.000642452563624829,
-0.015702735632658005,
0.022665129974484444,
0.050320472568273544,
-0.04213293641805649,
-0.030688317492604256,
0.0278943944722414,
-0.022022677585482597,
-0.04314890876412392,
0.042342107743024826,
-0.016823293641209602,
-0.01680835336446762,
-0.0007960622315295041,
0.016614122316241264,
-0.002788319019600749,
0.02489130198955536,
-0.034005165100097656,
0.02545905113220215,
0.04231222718954086,
-0.019333340227603912,
0.025623399764299393,
0.0292540043592453,
0.03038950078189373,
0.015523447655141354,
0.02262030728161335,
-0.0072275917045772076,
-0.026445141062140465,
-0.015732618048787117,
0.03711284324526787,
-0.022709952667355537,
-0.03313859924674034,
-0.014193720184266567,
-0.035140663385391235,
0.009098921902477741,
0.001816235831938684,
0.007754253223538399,
-0.0046391054056584835,
-0.033527061343193054,
-0.014910876750946045,
0.059015993028879166,
0.017002582550048828,
-0.01885523647069931,
0.03699331730604172,
0.024413198232650757,
-0.00028574198950082064,
-0.020961882546544075,
-0.000316557299811393,
0.027789808809757233,
0.008471409790217876,
0.028193209320306778,
-0.02184338867664337,
-0.04317878931760788,
-0.008986866101622581,
0.0047362204641103745,
-0.06502217799425125,
-0.013327156193554401,
-0.02100670523941517,
-0.03179393336176872,
-0.014186250045895576,
-0.060838766396045685,
-0.07410615682601929,
0.020618245005607605,
-0.00502756517380476,
-0.03762082755565643,
-0.005135885439813137,
0.025742925703525543,
0.057760968804359436,
-0.014806291088461876,
0.06412573158740997,
-0.02959764190018177,
-0.04766101762652397,
-0.009853430092334747,
-0.0032141306437551975,
-0.01451494637876749,
-0.03191345930099487,
0.009218447841703892,
0.04984236881136894,
-0.013581149280071259,
0.007560023572295904,
0.020588364452123642,
0.04389594495296478,
-0.04903556779026985,
0.010951575823128223,
-0.005475787911564112,
-0.040967557579278946,
0.033198364078998566,
0.003402757691219449,
0.0021309256553649902,
0.013977078720927238,
0.015374040231108665,
0.007601110730320215,
-0.0006886755581945181,
0.02674395591020584,
-0.03693355247378349,
0.01849665865302086,
-0.0009211911237798631,
-0.012273832224309444,
-0.005333850625902414,
-0.006185473874211311,
-0.049304500222206116,
-0.009741374291479588,
-0.012251421809196472,
-0.054115425795316696,
-0.007836427539587021,
-0.005748456809669733,
-0.01987120881676674,
-0.019109228625893593,
0.03403504565358162,
0.06932511925697327,
-0.05097786709666252,
-0.025055650621652603,
-0.05256158486008644,
-0.03600722551345825,
0.014044312760233879,
0.021858328953385353,
0.030777961015701294,
-0.014081664383411407,
0.029657404869794846,
-0.03385575860738754,
-0.0003044179466087371,
-0.028163328766822815,
0.0027360261883586645,
0.014029371552169323,
0.030105626210570335,
-0.05014118179678917,
0.011930195614695549,
0.009382795542478561,
0.007306030485779047,
0.03815869614481926,
-0.021514691412448883,
0.0114894425496459,
-0.00016761662845965475,
-0.03140547126531601,
-0.05002165585756302,
0.012834111228585243,
-0.016315307468175888,
-0.036276161670684814,
0.02432355470955372,
0.022455958649516106,
0.00374265993013978,
0.028850603848695755,
-0.04374653846025467,
-0.01692787930369377,
-0.03851727396249771,
-0.004713809117674828,
0.012684703804552555,
0.04332819953560829,
0.0081725949421525,
-0.015187280252575874,
0.005976303014904261,
-0.0098310187458992,
0.031465236097574234,
0.04900568723678589,
-0.020035555586218834,
-0.019736740738153458,
0.012243950739502907,
-0.0009664802928455174,
0.013073163107037544,
-0.010757345706224442,
-0.0003483064065221697,
-0.01559815090149641,
-0.030688317492604256,
0.02251572161912918,
0.034094810485839844,
-0.023591456934809685,
-0.060510069131851196,
0.012983518652617931,
-0.08002270013093948,
-0.014806291088461876,
0.03248120844364166,
-0.007216386031359434,
-0.017630094662308693,
-0.051695022732019424,
-0.015852143988013268,
0.0639464408159256,
0.05943433567881584,
-0.00015127517690416425,
0.01624060422182083,
0.03448326885700226,
-0.001010368694551289,
0.011848021298646927,
-0.03872644528746605,
-0.00034106947714462876,
-0.013543796725571156,
0.006951187737286091,
-0.02263524755835533,
-0.015508506447076797,
-0.02889542654156685,
0.06062959507107735,
0.07040084898471832,
0.004691397771239281,
0.001541699399240315,
-0.03325812518596649,
0.015060284174978733,
0.027505936101078987,
0.02592221461236477,
-0.009801137261092663,
0.037082962691783905,
-0.023950034752488136,
-0.029642462730407715,
-0.008120302110910416,
-0.02856672927737236,
0.006783104036003351,
0.02408450096845627,
0.014582179486751556,
-0.02182844653725624,
0.0018563892226666212,
-0.04138590022921562,
-0.0196620374917984,
0.03977229818701744,
-0.05746215581893921,
0.01428336463868618,
0.021425046026706696,
0.04981248825788498,
0.03962289169430733,
-0.017884086817502975,
0.046794451773166656,
0.05085834115743637,
-0.01285652257502079,
-0.0012905079638585448,
0.02091706171631813,
0.0023811832070350647,
-0.005584108177572489,
0.007664608769118786,
-0.0845646858215332,
0.0059576272033154964,
0.040848031640052795,
-0.01017465628683567,
0.01746574603021145,
0.04936426505446434,
-0.0573127456009388,
-0.027819691225886345,
-0.06747246533632278,
0.015956729650497437,
-0.06998250633478165,
0.025772808119654655,
0.015374040231108665,
0.015628032386302948,
-0.013155337423086166,
0.02752087637782097,
-0.033766113221645355,
0.008897221647202969,
0.017077285796403885,
-0.004624164663255215,
0.062332842499017715,
0.03427409753203392,
0.051127273589372635,
0.013469093479216099,
0.004497168119996786,
-0.01712210848927498,
-0.028581669554114342,
-0.028865544125437737,
-0.025175176560878754,
0.0059240106493234634,
0.05414530634880066,
-0.02172386273741722,
-0.02296394482254982,
0.0031076776795089245,
0.03028491698205471,
-0.018481718376278877,
0.02193303219974041,
-0.06980322301387787,
0.06472336500883102,
-0.04031016305088997,
-0.04879651591181755,
0.022575484588742256,
-0.028163328766822815,
0.021544571965932846,
-0.030434323474764824,
-0.033407535403966904,
-0.04425452649593353,
0.014104075729846954,
-0.03436374291777611,
0.021275639533996582,
-0.03206286579370499,
0.004702603444457054,
-0.022306552156805992,
0.00964425876736641,
-0.007167828734964132,
-0.006734546739608049,
-0.017316337674856186,
-0.03782999888062477,
0.06161568686366081,
-0.0032944371923804283,
0.005408554337918758,
0.025309644639492035,
-0.0705801397562027,
-0.06281094253063202,
0.0038808619137853384,
0.03534983471035957,
0.02560845948755741,
0.0003478395228739828,
0.05943433567881584,
0.06269142031669617,
-0.04051933437585831,
0.04114684835076332,
-0.0004930450231768191,
-0.021888209506869316,
0.00822488684207201,
-0.014455183409154415,
-0.023217936977744102,
-0.018242664635181427,
-0.024936124682426453,
-0.024293672293424606,
0.003217865712940693,
0.01359608955681324,
-0.014604590833187103,
-0.04443381354212761,
-0.016733648255467415,
-0.01086193136870861,
0.02755075693130493,
-0.01761515438556671,
-0.018421953544020653,
0.07069966942071915,
0.010779757052659988,
0.007149152457714081,
-0.0845646858215332,
0.2639135420322418,
0.04123649001121521,
0.00331498053856194,
0.047123149037361145,
0.011549205519258976,
0.054892342537641525,
0.006913835648447275,
-0.0575517974793911,
-0.014918346889317036,
-0.00924832932651043,
0.006189208943396807,
0.006219090428203344,
0.04195364937186241,
0.0043029384687542915,
0.0857599526643753,
0.035469360649585724,
0.00034247018629685044,
0.005102268885821104,
0.0055579617619514465,
-0.006178003270179033,
-0.0106303496286273,
0.01624060422182083,
0.043238554149866104,
0.04822876676917076,
0.00528155779466033,
-0.013924785889685154,
0.041296254843473434,
-0.046465758234262466,
-0.05286040157079697,
-0.036515213549137115,
-0.03782999888062477,
-0.024876361712813377,
-0.007242532446980476,
-0.02934364788234234,
0.0017480687238276005,
0.040160756558179855,
0.05300980806350708,
-0.02387533150613308,
-0.02251572161912918,
-0.0255785770714283,
-0.001722856191918254,
-0.016270484775304794,
0.016315307468175888,
-0.03702319785952568,
-0.016748590394854546,
0.02172386273741722,
0.019587334245443344,
0.010443589650094509,
-0.0023867860436439514,
-0.04293973743915558,
0.020274609327316284,
-0.01978156343102455,
-0.02454766444861889,
0.041087083518505096,
-0.06305000185966492,
-0.011227979324758053,
0.013446682132780552,
0.01531427726149559,
0.03439362347126007,
0.06281094253063202,
0.0031954545993357897,
0.02662442997097969,
0.007970894686877728,
0.009689081460237503,
-0.029074715450406075,
0.003710910677909851,
-0.040728505700826645,
0.05052964389324188,
-0.026908304542303085,
0.023098411038517952,
0.014089134521782398,
-0.005408554337918758,
0.01930345967411995,
-0.01667388528585434,
0.03071819804608822,
0.018929939717054367,
-0.025877391919493675,
0.06269142031669617,
0.009733904153108597,
-0.001704180147498846,
-0.038009289652109146,
-0.030807843431830406,
-0.0028555523604154587,
0.06328905373811722,
-0.00520311901345849,
0.06287071108818054,
-0.015583210624754429,
-0.020648127421736717,
0.005722310394048691,
-0.013342096470296383,
0.0031188831198960543,
0.03914478421211243,
-0.00913627352565527,
-0.023008767515420914,
-0.04326843470335007
] |
1209_10 | Any line through the midpoint of a parallelogram bisects the area.
All area bisectors of a circle or other ellipse go through the center, and any chords through the center bisect the area. In the case of a circle they are the diameters of the circle.
Optimization
Given a wire contour, the surface of least area spanning ("filling") it is a minimal surface. Familiar examples include soap bubbles.
The question of the filling area of the Riemannian circle remains open.
The circle has the largest area of any two-dimensional object having the same perimeter.
A cyclic polygon (one inscribed in a circle) has the largest area of any polygon with a given number of sides of the same lengths.
A version of the isoperimetric inequality for triangles states that the triangle of greatest area among all those with a given perimeter is equilateral.
The triangle of largest area of all those inscribed in a given circle is equilateral; and the triangle of smallest area of all those circumscribed around a given circle is equilateral.
The ratio of the area of the incircle to the area of an equilateral triangle, , is larger than that of any non-equilateral triangle.
The ratio of the area to the square of the perimeter of an equilateral triangle, is larger than that for any other triangle.
See also
Brahmagupta quadrilateral, a cyclic quadrilateral with integer sides, integer diagonals, and integer area.
Equiareal map
Heronian triangle, a triangle with integer sides and integer area.
List of triangle inequalities
One-seventh area triangle, an inner triangle with one-seventh the area of the reference triangle.
Routh's theorem, a generalization of the one-seventh area triangle.
Orders of magnitude—A list of areas by size.
Derivation of the formula of a pentagon
Planimeter, an instrument for measuring small areas, e.g. on maps.
Area of a convex quadrilateral
Robbins pentagon, a cyclic pentagon whose side lengths and area are all rational numbers.
References
External links | [
-0.017577888444066048,
0.00826028548181057,
0.05313015729188919,
0.0010453850263729692,
-0.04258636385202408,
0.0143471984192729,
0.014383911155164242,
0.008796286769211292,
0.007929874584078789,
0.10479182004928589,
0.072543665766716,
0.030779659748077393,
-0.045229654759168625,
-0.018928904086351395,
-0.057212576270103455,
0.010624563321471214,
-0.038122136145830154,
0.004012663383036852,
-0.04455414414405823,
-0.006810146849602461,
0.006567845121026039,
-0.0020797564648091793,
-0.05174977332353592,
-0.06291033327579498,
-0.0305447019636631,
0.0687255784869194,
0.023363759741187096,
0.02023586444556713,
0.04276258125901222,
0.054304953664541245,
-0.04029550775885582,
0.014956624247133732,
0.012203195132315159,
-0.03915008157491684,
-0.008341052569448948,
-0.033334843814373016,
0.042175184935331345,
-0.047285545617341995,
0.011160563677549362,
-0.018884848803281784,
0.0440254881978035,
-0.03853331506252289,
0.02008901536464691,
-0.03480333834886551,
0.015242980793118477,
-0.005749159026890993,
-0.010015137493610382,
-0.0034087446983903646,
-0.01262905914336443,
-0.07606805115938187,
-0.03356980159878731,
0.0033243061043322086,
0.01343673188239336,
-0.005235185381025076,
-0.041470304131507874,
-0.01231333240866661,
0.01953098736703396,
-0.04452477768063545,
-0.0007512270822189748,
0.024332966655492783,
-0.004185211379081011,
-0.00754072330892086,
-0.03970811143517494,
-0.032864924520254135,
-0.024186117574572563,
0.01951630227267742,
-0.00377036165446043,
-0.010940290056169033,
0.0336872823536396,
-0.04987009987235069,
-0.013693718239665031,
0.01675553061068058,
0.01809186115860939,
-0.04149967432022095,
-0.01866457425057888,
-0.003434443147853017,
0.012283963151276112,
-0.03756411001086235,
-0.0421164445579052,
0.03359917178750038,
0.006064885295927525,
0.030632810667157173,
-0.044847846031188965,
0.034480269998311996,
-0.005411405116319656,
0.0022890169639140368,
-0.013994759880006313,
0.03985496237874031,
0.04960576817393303,
0.0019255643710494041,
-0.015213610604405403,
0.0276811346411705,
0.00488274684175849,
0.024611979722976685,
0.012856676243245602,
0.006244775839149952,
0.0050332676619291306,
0.012959470972418785,
0.016593996435403824,
0.005712446290999651,
0.04381989687681198,
0.047608617693185806,
-0.022541401907801628,
0.05838737264275551,
-0.06766825914382935,
0.05310078710317612,
-0.04205770418047905,
0.03280618414282799,
0.030515331774950027,
-0.015566050074994564,
0.011792017146945,
-0.027328696101903915,
0.0305447019636631,
-0.013958047144114971,
0.001666742144152522,
-0.0035812926944345236,
-0.03768158704042435,
0.013693718239665031,
-0.026755983009934425,
-0.0010949467541649938,
-0.019824685528874397,
0.022981951013207436,
-0.0028305246960371733,
0.006299844477325678,
-0.0007163503323681653,
-0.012460182420909405,
0.019369453191757202,
0.005345322657376528,
-0.07395341992378235,
0.01900232769548893,
0.022306442260742188,
-0.010984344407916069,
-0.01565415970981121,
-0.003766690380871296,
-0.02945801429450512,
0.03283555433154106,
-0.0394144132733345,
0.03136705979704857,
0.04058920964598656,
0.03471522778272629,
0.001495111733675003,
-0.013899307698011398,
0.03729977831244469,
0.06396765261888504,
0.030897140502929688,
0.031866345554590225,
0.004772609565407038,
-0.025081899017095566,
-0.020793892443180084,
-0.0019879755564033985,
0.02462666481733322,
0.0004231102066114545,
-0.022981951013207436,
-0.02010370045900345,
-0.008003299124538898,
-0.032483115792274475,
-0.034392159432172775,
0.008238258771598339,
-0.009882972575724125,
0.003740991698578,
-0.013869937509298325,
-0.04992884024977684,
0.010206041857600212,
0.05360007658600807,
-0.03838646411895752,
0.06590607017278671,
-0.054686762392520905,
-0.013612951152026653,
-0.0105291111394763,
0.006854201667010784,
0.00007675182132516056,
0.00784910749644041,
-0.00937634240835905,
-0.0018980300519615412,
0.024553241208195686,
0.042615730315446854,
0.003164607333019376,
-0.049723248928785324,
-0.0028690726030617952,
-0.0032013196032494307,
-0.002606579102575779,
-0.04061857983469963,
0.023451868444681168,
0.028386013582348824,
-0.0143471984192729,
0.04208707436919212,
-0.03985496237874031,
-0.017548518255352974,
0.008561327122151852,
-0.01923728734254837,
0.011535029858350754,
0.005903351120650768,
-0.017959697172045708,
0.004082416649907827,
-0.04305627942085266,
0.009273547679185867,
-0.056977614760398865,
0.02229175716638565,
-0.052777718752622604,
-0.03756411001086235,
-0.011938866227865219,
-0.01365700550377369,
0.003221511375159025,
0.010771412402391434,
-0.056067150086164474,
-0.014883199706673622,
0.017680682241916656,
0.04493595287203789,
-0.03650679066777229,
-0.002140331780537963,
0.020544247701764107,
-0.018591150641441345,
-0.01009590458124876,
0.002689181827008724,
0.009200123138725758,
0.007125873118638992,
0.009633328765630722,
0.052395910024642944,
-0.025140639394521713,
0.025316858664155006,
-0.012078373692929745,
0.05956216901540756,
-0.022115537896752357,
0.04343808814883232,
0.0008824738906696439,
0.020882003009319305,
-0.04302690923213959,
0.034685857594013214,
0.007169927936047316,
0.06338025629520416,
0.00046119929174892604,
0.004115458112210035,
0.017240134999155998,
0.00006602492067031562,
0.046903736889362335,
0.01976594515144825,
0.03083840012550354,
0.02000090479850769,
-0.004497266840189695,
0.0421164445579052,
0.04872467368841171,
0.0625578984618187,
0.04061857983469963,
-0.03865079581737518,
0.02735806629061699,
0.027284640818834305,
-0.012915415689349174,
0.035919394344091415,
-0.004805650562047958,
0.016006598249077797,
-0.04719743877649307,
0.04757924750447273,
-0.0048423632979393005,
-0.007515024393796921,
-0.019501617178320885,
-0.005139733199030161,
-0.001478591118939221,
-0.0128860455006361,
0.023319704458117485,
-0.03685922920703888,
-0.0007695832755416632,
0.01480243168771267,
0.028576917946338654,
0.01270248368382454,
-0.025610556825995445,
0.04464225471019745,
0.04511217400431633,
-0.02449450083076954,
-0.021748414263129234,
-0.006108940113335848,
-0.06467252969741821,
0.0008544806623831391,
-0.04511217400431633,
-0.017078598961234093,
-0.00440181465819478,
-0.04352619871497154,
0.019824685528874397,
0.007577435579150915,
0.05527416244149208,
-0.0002829147852025926,
-0.03166075795888901,
-0.017401669174432755,
-0.08652374148368835,
-0.007316777482628822,
0.007217654027044773,
0.012026975862681866,
-0.04405485838651657,
0.04517091438174248,
-0.018106546252965927,
0.03838646411895752,
-0.05333574861288071,
-0.021836524829268456,
0.0016639886889606714,
-0.022497346624732018,
-0.007287407759577036,
-0.003803402651101351,
0.03292366489768028,
-0.008649436756968498,
0.04890089109539986,
-0.04191085323691368,
-0.033099882304668427,
-0.0029424973763525486,
0.011263358406722546,
0.0206617284566164,
-0.014310486614704132,
0.05909224972128868,
-0.03351106122136116,
0.010822810232639313,
0.03471522778272629,
0.023084744811058044,
-0.023760253563523293,
0.024509185925126076,
-0.013282539322972298,
0.006707352120429277,
-0.03680049255490303,
0.045464612543582916,
0.01913449354469776,
0.004442198202013969,
0.04540587216615677,
-0.028371328487992287,
0.03956126049160957,
0.01346610113978386,
-0.03442152962088585,
-0.018253395333886147,
0.02315817028284073,
0.03715293109416962,
-0.0007186448783613741,
-0.04863656312227249,
0.007191955577582121,
-0.03154327720403671,
-0.0306034404784441,
0.0477260947227478,
-0.00799595657736063,
0.06061948463320732,
0.017548518255352974,
0.0025331543292850256,
0.039649371057748795,
-0.013297224417328835,
0.006817489396780729,
0.007570093031972647,
0.05427558347582817,
-0.05063371732831001,
-0.011718591675162315,
0.0039502521976828575,
0.03283555433154106,
-0.012239907868206501,
0.006589872296899557,
0.008150148205459118,
-0.02171904407441616,
0.014604184776544571,
-0.03500892594456673,
0.028253847733139992,
-0.008076723664999008,
0.023701513186097145,
0.00045362734817899764,
-0.006156666204333305,
-0.023084744811058044,
-0.024332966655492783,
-0.02892935648560524,
0.028092313557863235,
-0.009743466041982174,
-0.016549941152334213,
0.006560502573847771,
0.008333710953593254,
-0.015903804451227188,
-0.06649346649646759,
-0.015448570251464844,
0.011990264058113098,
-0.001404248527251184,
-0.011953551322221756,
0.03785780817270279,
0.0216749906539917,
-0.024553241208195686,
-0.0008636587881483138,
-0.005209486931562424,
0.026007050648331642,
0.035243887454271317,
0.021498769521713257,
-0.01327519677579403,
-0.019868740811944008,
-0.015859749168157578,
0.0064613791182637215,
0.009824233129620552,
0.012966812588274479,
0.01832682080566883,
0.021998059004545212,
-0.008796286769211292,
-0.028723767027258873,
-0.0381808765232563,
-0.012151798233389854,
-0.03395161032676697,
-0.006868886295706034,
-0.013143032789230347,
-0.0216749906539917,
-0.05280708894133568,
0.0016566462581977248,
-0.0194281917065382,
0.043085649609565735,
0.03268870338797569,
-0.009457109495997429,
0.023231593891978264,
0.07189752906560898,
-0.008965163491666317,
0.055303532630205154,
-0.041470304131507874,
-0.02091137319803238,
-0.005767514929175377,
0.05891602858901024,
-0.03169012814760208,
-0.03318799287080765,
-0.046756889671087265,
-0.020984796807169914,
-0.011850756593048573,
0.009479137137532234,
-0.011116509325802326,
0.04608137905597687,
-0.06514245271682739,
0.0041007730178534985,
-0.06249915808439255,
-0.015815693885087967,
0.014097554609179497,
-0.03030974231660366,
0.012423469685018063,
0.019017012789845467,
0.03412782773375511,
-0.0497526191174984,
0.011065111495554447,
-0.04625760018825531,
0.005312281660735607,
0.02563992701470852,
-0.04663940891623497,
-0.020837947726249695,
-0.031572647392749786,
-0.030632810667157173,
-0.02243860810995102,
0.0051507470197975636,
0.038973864167928696,
-0.01985405571758747,
-0.013943362049758434,
-0.03433341905474663,
-0.007665545213967562,
0.04396674782037735,
-0.012959470972418785,
-0.044466037303209305,
0.019119808450341225,
0.03151390701532364,
0.01569821499288082,
0.07824143022298813,
-0.0047689382918179035,
-0.008047354407608509,
0.002388140419498086,
-0.016858326271176338,
0.007797709666192532,
-0.024979103356599808,
0.009222149848937988,
-0.03083840012550354,
-0.01665273681282997,
-0.05318889766931534,
0.021689673885703087,
-0.03891512379050255,
-0.02243860810995102,
0.008671464398503304,
-0.03030974231660366,
-0.005844611208885908,
-0.056448958814144135,
0.01442062295973301,
-0.02816573902964592,
0.020412083715200424,
0.049576397985219955,
0.008818314410746098,
0.0038694848772138357,
-0.0031939770560711622,
0.023422500118613243,
-0.006248447112739086,
0.02095542661845684,
-0.03192508593201637,
0.0038694848772138357,
-0.003124223556369543,
-0.02515532448887825,
0.01951630227267742,
0.005973104387521744,
0.002074249554425478,
-0.04978198930621147,
0.010954974219202995,
-0.01747509278357029,
-0.01894358918070793,
-0.020133070647716522,
-0.010000452399253845,
-0.010587850585579872,
0.013737772591412067,
-0.0006663296953774989,
-0.050868675112724304,
0.033158622682094574,
-0.060795702040195465,
0.005308610387146473,
-0.03809276595711708,
0.019795315340161324,
-0.011784674599766731,
0.017959697172045708,
0.004589047748595476,
0.057653121650218964,
0.06214671954512596,
-0.011513003148138523,
0.027431491762399673,
-0.010712672956287861,
-0.01181404385715723,
-0.011087139137089252,
0.0035280599258840084,
-0.01709328405559063,
0.030104152858257294,
0.006722037214785814,
0.022746991366147995,
-0.012900730594992638,
-0.005103020928800106,
-0.005686747841536999,
0.07371845841407776,
0.03870953619480133,
0.0044275131076574326,
0.008671464398503304,
0.04296817258000374,
0.006615571212023497,
-0.029369905591011047,
0.04149967432022095,
0.07230870425701141,
-0.00396126601845026,
0.0069937086664140224,
-0.03251248598098755,
-0.016359036788344383,
0.012944785878062248,
-0.008539299480617046,
0.015874434262514114,
-0.027372751384973526,
-0.0673745647072792,
-0.011490975506603718,
-0.01932539790868759,
-0.018532410264015198,
0.028606288135051727,
-0.005506857298314571,
-0.019178548827767372,
-0.004467896651476622,
-0.05445180460810661,
0.003821758786216378,
0.01515487115830183,
0.01040428876876831,
-0.030897140502929688,
0.009060615673661232,
-0.019648466259241104,
0.03142579644918442,
0.001261988072656095,
-0.01823871023952961,
0.03715293109416962,
-0.012922758236527443,
0.04455414414405823,
-0.012621716596186161,
0.012474867515265942,
-0.031954456120729446,
-0.019251972436904907,
0.004721212200820446,
-0.013723088428378105,
0.031161468476057053,
-0.025698667392134666,
0.025757405906915665,
-0.0031884703785181046,
0.03007478266954422,
0.014670267701148987,
0.022027429193258286,
0.011336782947182655,
-0.025992365553975105,
0.031102729961276054,
-0.00007887425454100594,
-0.01900232769548893,
0.02305537462234497,
0.04702121764421463,
-0.0003561101038940251,
-0.033628541976213455,
-0.04605201259255409,
-0.047520507127046585,
-0.0011747961398214102,
-0.04863656312227249,
0.05283645913004875,
0.002606579102575779,
-0.011850756593048573,
-0.06461378931999207,
-0.026755983009934425,
0.04878341034054756,
0.0034087446983903646,
0.03092651069164276,
0.0918690636754036,
0.017504462972283363,
0.045523352921009064,
-0.028518177568912506,
-0.029252424836158752,
0.0008443847764283419,
-0.011439577676355839,
0.0034417856950312853,
-0.02124912664294243,
-0.031954456120729446,
0.02602173574268818,
-0.04367304965853691,
-0.04082416743040085,
0.012151798233389854,
0.01856178045272827,
0.03788717836141586,
-0.04170526564121246,
0.016828956082463264,
-0.05160292237997055,
-0.06426135450601578,
0.00034899706952273846,
0.04246888309717178,
-0.006780776660889387,
0.01641777716577053,
0.00914138276129961,
-0.013862594962120056,
-0.031014619395136833,
0.00995639804750681,
0.024377021938562393,
-0.044612884521484375,
-0.005194801837205887,
0.011645167134702206,
-0.026095161214470863,
-0.05136796459555626,
0.044084228575229645,
0.016285613179206848,
-0.028004204854369164,
-0.037975288927555084,
0.016021283343434334,
-0.009009218774735928,
-0.005771186202764511,
-0.010301494039595127,
0.002933319192379713,
0.04208707436919212,
-0.0023807978723198175,
0.008957820944488049,
0.01785690151154995,
0.024288911372423172,
-0.011344125494360924,
-0.0049414862878620625,
-0.012526264414191246,
-0.02411269210278988,
-0.0006621995707973838,
0.06443756818771362,
-0.007331462576985359,
-0.029825137928128242,
-0.019633781164884567,
-0.032013196498155594,
0.020368028432130814,
-0.027769245207309723,
-0.019457561895251274,
-0.001718139392323792,
-0.04282132163643837,
-0.01766599714756012,
0.06790322065353394,
0.053570706397295,
-0.007478312123566866,
0.023407815024256706,
0.009515848942101002,
-0.007338805124163628,
-0.0317782387137413,
-0.004111786838620901,
-0.0008457615040242672,
0.022600142285227776,
0.02076452225446701,
-0.03674175217747688,
-0.02959018014371395,
-0.0034215939231216908,
0.010272123850882053,
-0.057212576270103455,
-0.013752457685768604,
-0.03321736305952072,
-0.036448050290346146,
-0.043849267065525055,
-0.09110544621944427,
-0.06937171518802643,
0.0032288539223372936,
0.009310259483754635,
-0.03647742047905922,
0.025551816448569298,
0.031102729961276054,
0.06097192317247391,
-0.0016337009146809578,
0.05524479225277901,
-0.009222149848937988,
-0.002228441648185253,
-0.016593996435403824,
0.027079053223133087,
-0.023877732455730438,
-0.04960576817393303,
0.00045775750186294317,
0.008392450399696827,
-0.023451868444681168,
0.01389196515083313,
-0.00004081384395249188,
0.033540431410074234,
-0.040266141295433044,
0.03800465539097786,
-0.002634113421663642,
-0.049958206713199615,
0.02721121720969677,
0.004042033106088638,
0.0156101044267416,
0.02702031284570694,
0.010903577320277691,
-0.00784910749644041,
-0.017122654244303703,
0.01546325534582138,
-0.009170752950012684,
0.010242754593491554,
0.010800782591104507,
0.025522448122501373,
-0.012232565321028233,
0.028723767027258873,
-0.022732306271791458,
-0.019986219704151154,
-0.018972959369421005,
0.001509796711616218,
0.011461605317890644,
0.017930326983332634,
0.002101783873513341,
-0.05336511880159378,
0.01703454554080963,
0.060560744255781174,
-0.04793168604373932,
-0.020059645175933838,
-0.0381808765232563,
0.003531730966642499,
-0.007412229664623737,
0.017078598961234093,
0.03962000086903572,
0.00014925877621863037,
0.02205679938197136,
-0.04029550775885582,
0.0006231926963664591,
-0.005745487753301859,
0.009493822231888771,
0.029090890660881996,
0.00736450357362628,
-0.02014775387942791,
0.0013308238703757524,
-0.013796512968838215,
-0.011351468041539192,
0.02525811828672886,
-0.006883571390062571,
-0.016476517543196678,
0.0062888311222195625,
-0.011527687311172485,
-0.046521928161382675,
0.01976594515144825,
-0.010250097140669823,
-0.05618462711572647,
0.004647787660360336,
0.022835101932287216,
0.01040428876876831,
0.0477260947227478,
-0.04205770418047905,
-0.013943362049758434,
-0.02973702922463417,
0.0267853531986475,
0.021175701171159744,
0.058886658400297165,
-0.015727583318948746,
0.009317602030932903,
-0.012239907868206501,
0.020265234634280205,
0.03589002415537834,
0.062264200299978256,
-0.0439080074429512,
-0.04264510050415993,
0.022409237921237946,
0.0004937815247103572,
0.02348123863339424,
0.017445724457502365,
0.005183788016438484,
-0.010742043145000935,
-0.000948097265791148,
-0.0047689382918179035,
0.03268870338797569,
-0.04120597615838051,
-0.0687255784869194,
0.013723088428378105,
-0.023114114999771118,
-0.017386984080076218,
0.02144003100693226,
-0.013377991504967213,
-0.029678288847208023,
-0.030133523046970367,
-0.028136368840932846,
0.037828437983989716,
0.06860809773206711,
-0.0039025261066854,
0.030897140502929688,
0.05104489624500275,
0.0040273480117321014,
-0.017768792808055878,
-0.05885728821158409,
-0.0011013714829459786,
-0.02104353718459606,
0.022453293204307556,
-0.03465648740530014,
-0.029575495049357414,
-0.017651312053203583,
0.07148634642362595,
0.041029758751392365,
-0.012592346407473087,
0.01384056732058525,
-0.05013442784547806,
0.00976549368351698,
0.021307865157723427,
0.011608455330133438,
-0.0414409376680851,
0.01919323205947876,
-0.023231593891978264,
0.004776280838996172,
-0.008620067499577999,
-0.03268870338797569,
0.04176400601863861,
-0.002208249643445015,
0.060795702040195465,
-0.030192261561751366,
0.013980074785649776,
-0.06150057911872864,
-0.026579763740301132,
0.04901837185025215,
-0.05283645913004875,
-0.03433341905474663,
0.009706753306090832,
0.053159527480602264,
-0.003001237055286765,
0.0012931936653330922,
0.01160111278295517,
0.04320313036441803,
0.0017787148244678974,
0.009075300768017769,
0.019648466259241104,
0.0062925019301474094,
0.012680456042289734,
-0.02014775387942791,
-0.05333574861288071,
-0.015360460616648197,
0.05909224972128868,
-0.028870616108179092,
0.006127296481281519,
0.020353343337774277,
-0.057976193726062775,
-0.03471522778272629,
-0.056125886738300323,
-0.003931895829737186,
-0.04801979288458824,
0.0013097141636535525,
0.03283555433154106,
-0.0049414862878620625,
-0.04243951290845871,
0.07489325851202011,
-0.012379415333271027,
-0.0008884396520443261,
0.04120597615838051,
-0.00048598015564493835,
0.05310078710317612,
0.04296817258000374,
0.022570772096514702,
0.02000090479850769,
0.04326187074184418,
-0.02119038626551628,
-0.030192261561751366,
0.0010472206631675363,
-0.03386349976062775,
0.03274744376540184,
0.04449540749192238,
-0.02038271352648735,
0.010653932578861713,
-0.03944378346204758,
0.0274021215736866,
0.006053871475160122,
-0.0018466328037902713,
-0.05512731149792671,
0.04055983945727348,
-0.03671238198876381,
-0.012298647314310074,
0.032776813954114914,
-0.003739156061783433,
0.051250483840703964,
-0.006531132385134697,
-0.0497526191174984,
-0.02057361789047718,
0.015433885157108307,
-0.0433499813079834,
0.010631905868649483,
-0.029002781957387924,
0.0038694848772138357,
-0.017005175352096558,
0.022702936083078384,
0.002850716467946768,
-0.020412083715200424,
-0.02392178773880005,
-0.03979622200131416,
0.030192261561751366,
0.027651766315102577,
-0.0026836751494556665,
0.02500847354531288,
-0.05139733478426933,
-0.04966450855135918,
0.01766599714756012,
0.026521023362874985,
0.019222602248191833,
0.011564400047063828,
0.036594901233911514,
0.08088471740484238,
-0.005315952934324741,
0.015066761523485184,
0.017401669174432755,
-0.04807853326201439,
0.01584506407380104,
-0.01613876223564148,
-0.02912026084959507,
-0.01809186115860939,
-0.03862142562866211,
-0.014413280412554741,
-0.022835101932287216,
0.030104152858257294,
-0.015742268413305283,
-0.016593996435403824,
-0.01737229898571968,
-0.04258636385202408,
0.022952580824494362,
-0.014626212418079376,
-0.0076214903965592384,
0.03589002415537834,
0.020206494256854057,
-0.010712672956287861,
-0.07037029415369034,
0.25375598669052124,
0.02080857753753662,
0.016931749880313873,
0.0414409376680851,
0.008708177134394646,
0.046375080943107605,
0.019560357555747032,
-0.05853421986103058,
-0.005650035571306944,
0.008399792946875095,
0.0038584712892770767,
0.006490748841315508,
0.04910648241639137,
0.011336782947182655,
0.06261663883924484,
0.03283555433154106,
-0.009802205488085747,
-0.004860719200223684,
0.028048260137438774,
-0.03677112236618996,
-0.011747961863875389,
0.02597768045961857,
0.014809774234890938,
0.01083749532699585,
0.02793077938258648,
0.011836071498692036,
0.025610556825995445,
-0.06708086282014847,
-0.07283736765384674,
-0.007180941756814718,
-0.041176605969667435,
-0.002733236877247691,
0.02210085280239582,
-0.01989811100065708,
-0.016168132424354553,
0.02973702922463417,
0.024024581536650658,
-0.029957303777337074,
-0.031807608902454376,
-0.012401442043483257,
0.03151390701532364,
-0.007665545213967562,
0.032483115792274475,
-0.016505885869264603,
0.0037079504691064358,
0.02845943719148636,
-0.0216749906539917,
0.0033243061043322086,
0.009750808589160442,
-0.05292456969618797,
-0.009618643671274185,
-0.017680682241916656,
0.005745487753301859,
0.05342385545372963,
-0.04757924750447273,
-0.006432009395211935,
0.023848362267017365,
0.034304048866033554,
0.03227752447128296,
0.027842670679092407,
0.022805731743574142,
-0.0026010721921920776,
0.018826108425855637,
0.003028771374374628,
-0.051632292568683624,
0.01781284809112549,
-0.03674175217747688,
0.05389377474784851,
-0.0130549231544137,
0.016873009502887726,
0.00804001186043024,
-0.027578340843319893,
0.009530534036457539,
0.02052956447005272,
0.026095161214470863,
0.0017153860535472631,
-0.01909043826162815,
0.06349773705005646,
-0.0369473397731781,
0.006068556569516659,
-0.01790095679461956,
0.02320222556591034,
-0.022042114287614822,
0.05122111365199089,
-0.007085489574819803,
0.050105057656764984,
-0.016109392046928406,
-0.05022253841161728,
0.002140331780537963,
0.005242527928203344,
-0.017063913866877556,
0.04960576817393303,
-0.005594966933131218,
-0.013693718239665031,
-0.029516754671931267
] |
1210_0 | The astronomical unit (symbol: au, or or AU) is a unit of length, roughly the distance from Earth to the Sun and equal to about or ~8 light minutes. The actual distance from Earth to the Sun varies by about 3% as Earth orbits the Sun, from a maximum (aphelion) to a minimum (perihelion) and back again once each year. The astronomical unit was originally conceived as the average of Earth's aphelion and perihelion; however, since 2012 it has been defined as exactly (see below for several conversions).
The astronomical unit is used primarily for measuring distances within the Solar System or around other stars. It is also a fundamental component in the definition of another unit of astronomical length, the parsec.
History of symbol usage
A variety of unit symbols and abbreviations have been in use for the astronomical unit. In a 1976 resolution, the International Astronomical Union (IAU) had used the symbol A to denote a length equal to the astronomical unit. In the astronomical literature, the symbol AU was (and remains) common. In 2006, the International Bureau of Weights and Measures (BIPM) had recommended ua as the symbol for the unit. In the non-normative Annex C to ISO 80000-3:2006 (now withdrawn), the symbol of the astronomical unit was "ua".
In 2012, the IAU, noting "that various symbols are presently in use for the astronomical unit", recommended the use of the symbol "au". The scientific journals published by the American Astronomical Society and the Royal Astronomical Society subsequently adopted this symbol. In the 2014 revision and 2019 edition of the SI Brochure, the BIPM used the unit symbol "au". ISO 80000-3:2019, which replaces ISO 80000-3:2006, does not mention the astronomical unit.
Development of unit definition | [
0.004699363838881254,
0.01956412009894848,
0.023582004010677338,
-0.02206287533044815,
-0.04026403650641441,
0.026904214173555374,
0.03827638924121857,
-0.013054577633738518,
0.017420301213860512,
0.03998008742928505,
0.027216557413339615,
-0.013352724723517895,
-0.04290476813912392,
-0.01781783066689968,
-0.02961593121290207,
-0.00937743205577135,
-0.0027614086866378784,
-0.021849913522601128,
-0.05849359557032585,
0.0047277589328587055,
0.023823361843824387,
0.005011708475649357,
-0.07377007603645325,
-0.03807762637734413,
0.0022680466063320637,
0.05997013300657272,
0.048952892422676086,
0.032086290419101715,
0.036629483103752136,
0.0975082516670227,
-0.02403632365167141,
-0.03833318129181862,
0.002394049195572734,
-0.07723426073789597,
0.010889463126659393,
0.008312621153891087,
0.047078825533390045,
-0.02559804543852806,
0.015901170670986176,
-0.0502590574324131,
0.04963437095284462,
-0.005572508554905653,
0.015532037243247032,
0.0038936573546379805,
-0.012990688905119896,
-0.000954780145548284,
0.009299345314502716,
-0.03966774418950081,
0.007482069078832865,
-0.019961649551987648,
0.0016815133858472109,
-0.010257675312459469,
0.017420301213860512,
0.0035458190832287073,
-0.008362311869859695,
-0.0003103479102719575,
-0.010144094936549664,
-0.0036842445842921734,
-0.0318591333925724,
0.039866507053375244,
0.01634129323065281,
-0.011045634746551514,
-0.018499309197068214,
-0.06025408208370209,
-0.017647460103034973,
0.02010362409055233,
0.011925878003239632,
-0.015617221593856812,
-0.025782613083720207,
-0.023539412766695023,
0.007687932346016169,
0.058380015194416046,
0.01744869537651539,
-0.0010160068050026894,
-0.0456874705851078,
0.004191804211586714,
-0.007886696606874466,
0.018825851380825043,
-0.03344924747943878,
0.02443385310471058,
0.0052814604714512825,
0.04367142915725708,
-0.023695584386587143,
-0.025257306173443794,
0.027443718165159225,
-0.03245542570948601,
-0.020075228065252304,
0.013104268349707127,
0.021012261509895325,
-0.028309764340519905,
0.00385816371999681,
0.03597639873623848,
-0.030183829367160797,
-0.015461049042642117,
0.02575421892106533,
-0.007943486794829369,
-0.01025057677179575,
0.023780768737196922,
-0.0011491080513224006,
0.023212870582938194,
0.0646836906671524,
0.04727758839726448,
-0.013054577633738518,
0.039383795112371445,
-0.037254173308610916,
0.07257749140262604,
-0.00809255987405777,
0.017775237560272217,
-0.0025484466459602118,
-0.035607267171144485,
0.030496174469590187,
0.004142113029956818,
0.007489167619496584,
0.01182649563997984,
0.02606656216084957,
0.056505948305130005,
-0.0637182667851448,
0.02451903745532036,
-0.02818198688328266,
0.007865400984883308,
0.02637890726327896,
-0.001508481684140861,
0.04250723868608475,
0.07024910300970078,
0.007102286443114281,
-0.016312897205352783,
0.0009139624307863414,
0.015404259786009789,
-0.02992827631533146,
-0.02873568795621395,
0.014481423422694206,
-0.01884004846215248,
-0.039923299103975296,
0.004124366212636232,
0.01743449829518795,
0.022261640056967735,
0.05059979856014252,
0.030836913734674454,
0.050145480781793594,
-0.05900470167398453,
-0.0009175117593258619,
-0.003586636856198311,
-0.019067207351326942,
0.06706886738538742,
-0.024249285459518433,
0.0425640270113945,
0.01852770335972309,
0.023624597117304802,
-0.028934452682733536,
-0.020785102620720863,
-0.005093344021588564,
-0.0013851410476490855,
-0.012011063285171986,
0.020231401547789574,
-0.05519977957010269,
-0.0035209734924137592,
0.01229501236230135,
0.0016007652739062905,
-0.004550290293991566,
-0.00304180895909667,
-0.013686365447938442,
-0.015560431405901909,
0.02984309010207653,
0.02025979571044445,
-0.001904236269183457,
0.007886696606874466,
-0.054859042167663574,
-0.04395538195967674,
-0.022786946967244148,
0.005529916379600763,
0.025115331634879112,
-0.013771549798548222,
-0.015801789239048958,
-0.006080068182200193,
0.01750548556447029,
0.0717824324965477,
0.010570019483566284,
-0.018896838650107384,
-0.011492855846881866,
0.010584217496216297,
-0.03793565183877945,
-0.020359177142381668,
-0.02608075924217701,
0.04193934053182602,
-0.030354199931025505,
0.0043586245737969875,
-0.025015950202941895,
-0.013011985458433628,
-0.01847091317176819,
-0.033960357308387756,
0.009547801688313484,
0.006143956910818815,
-0.034045543521642685,
0.0189962200820446,
-0.0071271322667598724,
0.0036008344031870365,
-0.00997372530400753,
0.019265972077846527,
-0.01703696884214878,
-0.022204849869012833,
-0.00775182107463479,
0.016525860875844955,
-0.01229501236230135,
0.052275098860263824,
-0.019521526992321014,
-0.049833133816719055,
0.04225168377161026,
0.0645701140165329,
-0.008220337331295013,
0.04287637397646904,
0.034925784915685654,
-0.013459205627441406,
0.008170646615326405,
0.029190007597208023,
0.020486954599618912,
0.004035632126033306,
-0.016355490311980247,
0.05051461234688759,
-0.04994671419262886,
0.025796810165047646,
0.009405826218426228,
0.02341163530945778,
0.02263077348470688,
0.06451332569122314,
0.04827141389250755,
-0.046056605875492096,
0.007347193080931902,
0.05906149372458458,
0.005902600008994341,
0.021537568420171738,
-0.02859371341764927,
0.02984309010207653,
0.021693740040063858,
-0.030183829367160797,
0.016298700124025345,
0.0037729786708950996,
-0.0013035056181252003,
0.04696524515748024,
0.02599557489156723,
-0.011244399473071098,
-0.0025626441929489374,
-0.02388015203177929,
0.04054798558354378,
-0.018726468086242676,
0.007201668806374073,
0.02608075924217701,
0.03095049411058426,
-0.0005878641386516392,
0.03197271376848221,
0.06831824779510498,
-0.02857951633632183,
0.010683598928153515,
0.04228007793426514,
-0.025328293442726135,
-0.06843182444572449,
-0.026265326887369156,
0.023369042202830315,
0.053922008723020554,
-0.03095049411058426,
-0.06740960478782654,
-0.025484466925263405,
-0.0043586245737969875,
0.049350421875715256,
-0.03134802356362343,
-0.006882225628942251,
0.026094958186149597,
0.01543265487998724,
-0.0049016778357326984,
0.005292108748108149,
-0.003751682583242655,
-0.04639734700322151,
-0.011428967118263245,
-0.04015045613050461,
-0.02906223013997078,
-0.01901041716337204,
-0.03299492970108986,
-0.027031991630792618,
-0.022488798946142197,
0.07337255030870438,
-0.010932055301964283,
-0.01884004846215248,
0.0018740666564553976,
-0.04767511785030365,
0.012202729471027851,
-0.025015950202941895,
0.03708380088210106,
-0.015645615756511688,
0.01908140629529953,
0.0071555268950760365,
0.0697379931807518,
-0.019265972077846527,
-0.02857951633632183,
0.013324329629540443,
-0.06087876856327057,
0.03134802356362343,
-0.0024437401443719864,
0.02175053022801876,
0.06138987839221954,
0.023298054933547974,
-0.042138103395700455,
0.0012085599591955543,
0.004511247389018536,
-0.05261583998799324,
0.011450262740254402,
-0.02214805968105793,
-0.011372176930308342,
0.009128975681960583,
0.0031784595921635628,
0.04321711137890816,
-0.014807965606451035,
-0.04415414482355118,
-0.003533396404236555,
-0.002459712326526642,
0.02913321740925312,
-0.06559233367443085,
0.008759841322898865,
0.02253139205276966,
-0.001966350246220827,
0.010378353297710419,
-0.03202950209379196,
-0.028224578127264977,
-0.014041301794350147,
-0.01861288957297802,
-0.015304877422749996,
0.009952429682016373,
0.0207992997020483,
-0.008156448602676392,
-0.033818382769823074,
0.019833872094750404,
-0.024646814912557602,
-0.03654429689049721,
-0.025470267981290817,
-0.039468977600336075,
0.034840602427721024,
-0.03952576965093613,
-0.013466304168105125,
-0.0013460980262607336,
-0.007290402892976999,
0.028480133041739464,
-0.009086383506655693,
0.08864902704954147,
-0.044012170284986496,
0.012493777088820934,
0.045829445123672485,
-0.024007929489016533,
0.0456874705851078,
0.0011633055983111262,
0.002241426147520542,
-0.030212225392460823,
0.01177680492401123,
-0.040491197258234024,
-0.03424430638551712,
0.036402322351932526,
0.025257306173443794,
0.016710426658391953,
0.018016595393419266,
-0.020998064428567886,
0.0002318181359441951,
-0.04940721020102501,
-0.004738407209515572,
0.007879598066210747,
0.02490236982703209,
0.0200184378772974,
-0.0384751558303833,
0.01663943938910961,
0.008766940794885159,
0.0098601458594203,
0.006722504273056984,
0.007467871531844139,
-0.01679561287164688,
0.004284088034182787,
-0.01449562143534422,
-0.03495418280363083,
-0.014034203253686428,
-0.005324052646756172,
0.02192090079188347,
0.0502590574324131,
0.036629483103752136,
-0.008568176068365574,
-0.017633263021707535,
0.00222900346852839,
0.0060481238178908825,
0.007907993160188198,
-0.01503512542694807,
-0.014353646896779537,
0.004763252567499876,
-0.03032580576837063,
-0.012053655460476875,
-0.004383470397442579,
-0.0686589851975441,
-0.02018880844116211,
-0.010066009126603603,
-0.0004765027260873467,
-0.01774684339761734,
-0.023425832390785217,
-0.009299345314502716,
0.05460348725318909,
0.020557941868901253,
0.019535724073648453,
-0.02041596733033657,
0.024646814912557602,
0.044182538986206055,
0.0034286901354789734,
-0.019521526992321014,
-0.01672462373971939,
0.032483819872140884,
0.01370056252926588,
0.04594302549958229,
-0.005050751380622387,
0.01174840983003378,
-0.04202452301979065,
-0.0032583202701061964,
-0.04375661537051201,
-0.007389785256236792,
0.03245542570948601,
0.039383795112371445,
0.013338526710867882,
-0.019975846633315086,
0.006527288816869259,
-0.02561224438250065,
-0.00020697255968116224,
0.019265972077846527,
-0.03418751806020737,
0.048952892422676086,
-0.008497187867760658,
-0.040320828557014465,
-0.019180787727236748,
-0.055001016706228256,
0.01044934056699276,
0.024547433480620384,
-0.031376417726278305,
0.011769706383347511,
-0.029644325375556946,
-0.0004210438346490264,
0.006332073360681534,
-0.0005519267870113254,
0.053524479269981384,
0.017775237560272217,
0.03833318129181862,
-0.05221831053495407,
0.0302406195551157,
0.0637182667851448,
-0.005789020098745823,
-0.01131538674235344,
0.004046279937028885,
-0.01750548556447029,
0.008546879515051842,
0.0189962200820446,
-0.012976491823792458,
-0.018655480816960335,
-0.02025979571044445,
-0.08967124670743942,
-0.0008886731811799109,
-0.03407393768429756,
-0.012522172182798386,
0.04483562335371971,
-0.003217502497136593,
-0.006211394909769297,
-0.031461603939533234,
-0.015205495059490204,
-0.01727832667529583,
0.014893150888383389,
0.003794274991378188,
0.006069420371204615,
-0.020600534975528717,
0.04327389970421791,
-0.045431919395923615,
0.03140481188893318,
0.08018733561038971,
-0.01355148945003748,
0.010570019483566284,
-0.017775237560272217,
0.0038617129903286695,
0.00011136144166812301,
0.0024685857351869345,
-0.0829700380563736,
-0.03367640823125839,
-0.002369203604757786,
-0.0225455891340971,
-0.01830054447054863,
0.02786964178085327,
-0.009356135502457619,
0.004763252567499876,
-0.04114428162574768,
0.028778281062841415,
-0.045573893934488297,
-0.0009716396452859044,
0.03614677116274834,
-0.04171217978000641,
0.02679063379764557,
-0.067807137966156,
0.0013682815479114652,
-0.005409237463027239,
-0.033420853316783905,
0.011904582381248474,
-0.03841836377978325,
-0.0414850190281868,
-0.008255830965936184,
0.008553978055715561,
0.00026708998484537005,
0.022190652787685394,
-0.009668479673564434,
-0.04560228809714317,
0.05324053019285202,
-0.008333917707204819,
-0.04988992586731911,
-0.02724495343863964,
0.01885424554347992,
0.009654282592236996,
-0.032398637384176254,
-0.008341016247868538,
0.04875412583351135,
0.012543468736112118,
0.0020462109241634607,
0.002745436504483223,
0.03785046562552452,
0.03242703154683113,
0.001228968845680356,
0.026137549430131912,
0.04736277461051941,
0.026918411254882812,
-0.05860717222094536,
-0.0017409652937203646,
0.022417811676859856,
-0.0044296118430793285,
-0.007638241164386272,
-0.018115976825356483,
0.007531760260462761,
-0.049520790576934814,
-0.08132313191890717,
0.014694386161863804,
-0.03157518431544304,
-0.029502350836992264,
-0.055796071887016296,
-0.05911828204989433,
-0.014268461614847183,
0.05755656212568283,
-0.011294091120362282,
-0.0425640270113945,
-0.008135152980685234,
-0.010861068032681942,
0.03628874570131302,
-0.0028962846845388412,
0.009136074222624302,
-0.04117267578840256,
0.005011708475649357,
-0.009079284965991974,
0.03148999810218811,
-0.0563923679292202,
-0.016554255038499832,
0.023326450958848,
-0.00045742487418465316,
0.009874342940747738,
-0.004344427026808262,
-0.02230423130095005,
-0.019535724073648453,
-0.0065698809921741486,
0.013324329629540443,
-0.00728330435231328,
-0.00732589652761817,
0.0002957067626994103,
0.027443718165159225,
-0.002686871914193034,
-0.037424542009830475,
0.0200184378772974,
-0.03518133983016014,
-0.039923299103975296,
0.008617866784334183,
0.04793067276477814,
0.007616945076733828,
-0.0012582511408254504,
0.06678491830825806,
0.029360376298427582,
0.04455167427659035,
-0.02190670184791088,
-0.01658264920115471,
-0.053126949816942215,
-0.0012688993010669947,
-0.0482146218419075,
0.0013514220481738448,
0.026677053421735764,
-0.002539573237299919,
-0.04793067276477814,
-0.011436065658926964,
-0.020061030983924866,
-0.02474619820713997,
-0.012926800176501274,
0.03509615734219551,
0.014538213610649109,
0.03543689474463463,
-0.038361575454473495,
0.03001346066594124,
0.007098737172782421,
0.0016717525431886315,
0.027784457430243492,
-0.00561865046620369,
-0.04793067276477814,
0.010073107667267323,
-0.004876832477748394,
-0.06212814897298813,
-0.043302297592163086,
0.011670324020087719,
0.0023479072842746973,
-0.0031571632716804743,
0.0322282649576664,
-0.01091785728931427,
-0.020870286971330643,
0.014261363074183464,
0.048413388431072235,
0.04395538195967674,
-0.009164469316601753,
0.06315036863088608,
-0.004095971118658781,
0.007159076165407896,
0.03958255797624588,
-0.011798101477324963,
-0.054859042167663574,
0.0010692472569644451,
0.031206049025058746,
-0.0079647833481431,
-0.0005377293564379215,
0.05417755991220474,
0.003904305398464203,
-0.03682824969291687,
-0.040803540498018265,
-0.009050889872014523,
-0.02167954295873642,
0.04585784301161766,
0.004262791480869055,
0.022786946967244148,
0.016156725585460663,
-0.020359177142381668,
-0.013452107086777687,
-0.025938784703612328,
0.02646409161388874,
0.022758550941944122,
-0.014694386161863804,
0.02145238406956196,
-0.02748630940914154,
-0.026918411254882812,
0.08938729763031006,
-0.005998432636260986,
0.0063427216373384,
-0.030666545033454895,
-0.04179736226797104,
0.005590255372226238,
0.02018880844116211,
0.05042942985892296,
-0.0059061492793262005,
0.007631142623722553,
0.018314741551876068,
0.04426772519946098,
0.01656845211982727,
-0.027614086866378784,
0.003215727861970663,
0.0645701140165329,
-0.014339448884129524,
-0.048186227679252625,
-0.009909836575388908,
0.07070342451334,
-0.0405195914208889,
0.010037614032626152,
-0.0021952844690531492,
-0.05599483847618103,
0.0179740022867918,
0.03651590272784233,
-0.02984309010207653,
0.01366506889462471,
-0.023908546194434166,
-0.0205011535435915,
-0.024377062916755676,
-0.025881996378302574,
-0.024561630561947823,
-0.014516917057335377,
0.04264921322464943,
-0.018584493547677994,
-0.002514727646484971,
0.011450262740254402,
0.04847017675638199,
0.01177680492401123,
0.022673366591334343,
-0.037197381258010864,
0.013913524337112904,
-0.008887618780136108,
-0.002718816278502345,
-0.04619858041405678,
-0.03728256747126579,
-0.021182632073760033,
0.0043479762971401215,
-0.02490236982703209,
0.008788236416876316,
-0.03214308246970177,
0.0461701862514019,
0.024064719676971436,
0.016085738316178322,
-0.009270950220525265,
-0.015020927414298058,
-0.032796166837215424,
0.04807264730334282,
0.01994745060801506,
0.02135300077497959,
0.03972453251481056,
0.030212225392460823,
0.030212225392460823,
-0.02559804543852806,
-0.03756651654839516,
0.049662765115499496,
0.006694109179079533,
0.04193934053182602,
-0.01658264920115471,
-0.0002941539278253913,
-0.07200958579778671,
0.04767511785030365,
-0.05781211331486702,
-0.006860929541289806,
-0.01680980995297432,
0.02058633789420128,
0.017264127731323242,
-0.03881589323282242,
-0.02247460186481476,
-0.0001463005319237709,
0.026506684720516205,
-0.003615031950175762,
-0.020600534975528717,
0.03032580576837063,
-0.0030914999078959227,
0.025172121822834015,
-0.006967410445213318,
-0.0045751361176371574,
0.009789158590137959,
-0.039468977600336075,
-0.0017116829985752702,
0.0048697334714233875,
0.03336406499147415,
0.017335116863250732,
-0.022914722561836243,
-0.014034203253686428,
-0.0072265141643583775,
0.0077802157029509544,
-0.027046188712120056,
0.009675579145550728,
0.03194431588053703,
0.019521526992321014,
0.012806122191250324,
-0.03762330487370491,
-0.09364654123783112,
-0.004046279937028885,
-0.053751636296510696,
-0.04242205247282982,
0.057130634784698486,
-0.02686162106692791,
-0.003925601486116648,
0.008639163337647915,
-0.06218493729829788,
-0.007702129893004894,
-0.01609993539750576,
0.005366645287722349,
0.026989398524165154,
0.006261086091399193,
-0.041115883737802505,
0.012699640356004238,
-0.026279523968696594,
-0.03214308246970177,
-0.01602894812822342,
0.00612621009349823,
-0.005703835282474756,
-0.05448990687727928,
-0.02828136831521988,
0.0161709226667881,
0.03194431588053703,
-0.027699273079633713,
-0.02693260833621025,
-0.015957960858941078,
0.013636673800647259,
-0.02135300077497959,
0.014552410691976547,
-0.04210970923304558,
-0.02647828869521618,
-0.007368489168584347,
-0.04012206196784973,
0.03268258646130562,
0.016398083418607712,
0.028409145772457123,
0.05528496578335762,
-0.025271503254771233,
-0.011812298558652401,
0.03523813188076019,
0.04296155646443367,
0.021097445860505104,
-0.034215912222862244,
0.007978980429470539,
0.03086530975997448,
0.012962293811142445,
-0.04054798558354378,
0.0068680280819535255,
0.033023323863744736,
-0.023440029472112656,
-0.007418180350214243,
-0.021494975313544273,
-0.03163197264075279,
-0.007993178442120552,
-0.02998506650328636,
-0.008071264252066612,
0.020927077159285545,
0.012777727097272873,
-0.011670324020087719,
0.03095049411058426,
-0.010314464569091797,
-0.07053305208683014,
0.015560431405901909,
-0.0379924401640892,
0.047391168773174286,
0.0029708214569836855,
0.006836083717644215,
-0.006392412818968296,
0.033023323863744736,
0.03290974348783493,
0.01837153173983097,
-0.009412925690412521,
-0.019053010269999504,
0.004149212036281824,
0.021565962582826614,
-0.013345626182854176,
0.015901170670986176,
0.03148999810218811,
-0.02490236982703209,
0.031546786427497864,
0.019691897556185722,
0.03651590272784233,
0.016710426658391953,
0.028380751609802246,
-0.011656126007437706,
0.05732940137386322,
-0.02263077348470688,
0.030609754845499992,
-0.006743800360709429,
-0.07104416191577911,
0.0025999124627560377,
-0.0027294643223285675,
0.021807320415973663,
0.04023564234375954,
0.03424430638551712,
-0.04335908591747284,
-0.00677574472501874,
-0.04015045613050461,
0.02294311858713627,
-0.0543479323387146,
0.027827048674225807,
0.015844380483031273,
-0.0491800494492054,
0.005249516107141972,
0.05017387494444847,
-0.03927021473646164,
-0.0028696644585579634,
0.03838996961712837,
0.011159215122461319,
0.021267816424369812,
0.07655277848243713,
-0.007265557534992695,
0.03046778030693531,
-0.04438130557537079,
-0.01876906119287014,
0.0020160414278507233,
-0.019038813188672066,
0.008241633884608746,
0.009952429682016373,
0.044494885951280594,
0.017136352136731148,
-0.019848069176077843,
-0.032001107931137085,
-0.012479580007493496,
-0.015645615756511688,
-0.0323418453335762,
0.04350106045603752,
0.04963437095284462,
-0.02160855568945408,
-0.002285793423652649,
-0.02715976908802986,
0.05213312432169914,
0.040973909199237823,
-0.022261640056967735,
-0.0015368765452876687,
-0.04188254848122597,
-0.035294920206069946,
0.008788236416876316,
-0.011812298558652401,
-0.04546031355857849,
-0.01036415621638298,
-0.04415414482355118,
0.010506130754947662,
0.015177099965512753,
-0.0064598508179187775,
0.0059167975559830666,
-0.02466101199388504,
-0.009270950220525265,
0.015347469598054886,
0.019748685881495476,
0.011911680921912193,
-0.06207135692238808,
-0.0384751558303833,
-0.014453028328716755,
0.0559096522629261,
-0.02970111556351185,
0.025172121822834015,
0.0446084626019001,
0.03273937478661537,
-0.05514299124479294,
-0.016298700124025345,
0.001191700459457934,
-0.03356282785534859,
0.03464183583855629,
0.021168434992432594,
-0.02474619820713997,
-0.003622130723670125,
-0.02873568795621395,
0.023312252014875412,
0.03909984230995178,
0.03202950209379196,
-0.005902600008994341,
-0.03242703154683113,
-0.04341587796807289,
-0.020359177142381668,
0.0197202917188406,
-0.012962293811142445,
0.01185489073395729,
0.028210381045937538,
0.00104972580447793,
0.052899789065122604,
-0.05554052069783211,
0.2360188066959381,
0.056505948305130005,
0.019138194620609283,
0.04546031355857849,
0.017164746299386024,
0.03827638924121857,
0.029275191947817802,
-0.030098645016551018,
-0.02348262257874012,
-0.016284503042697906,
0.02388015203177929,
-0.0364307202398777,
0.002903383458033204,
0.007773117162287235,
0.048186227679252625,
0.07002194225788116,
-0.012955195270478725,
-0.0034144925884902477,
0.033506039530038834,
-0.02238941751420498,
-0.06315036863088608,
-0.020231401547789574,
-0.0003615919267758727,
0.03481220826506615,
0.020288189873099327,
0.019748685881495476,
0.01861288957297802,
0.013338526710867882,
0.004127915482968092,
-0.030354199931025505,
-0.028409145772457123,
0.0024810086470097303,
0.005998432636260986,
-0.003057780908420682,
-0.022020282223820686,
0.0069390153512358665,
-0.010257675312459469,
-0.04094551503658295,
-0.014112289063632488,
-0.022900525480508804,
0.0014020005473867059,
-0.01025057677179575,
-0.003662948263809085,
-0.024547433480620384,
0.017576472833752632,
0.048583757132291794,
0.01402000617235899,
-0.034925784915685654,
0.0014809740241616964,
-0.04546031355857849,
0.10034774988889694,
-0.028139393776655197,
0.003847515443339944,
0.008887618780136108,
-0.08478731662034988,
0.024007929489016533,
-0.006218493916094303,
0.00942712277173996,
0.03697022423148155,
0.024760395288467407,
0.04193934053182602,
0.01932276226580143,
-0.034215912222862244,
-0.011400572024285793,
-0.03251221776008606,
0.08779717981815338,
-0.027273347601294518,
0.029104821383953094,
-0.02771347016096115,
0.020231401547789574,
-0.008000276982784271,
-0.022573983296751976,
-0.028962846845388412,
0.0013549714349210262,
0.048810917884111404,
0.02017461135983467,
-0.024320272728800774,
0.033335670828819275,
-0.04264921322464943,
-0.03015543520450592,
0.01554623432457447,
-0.004273439757525921,
-0.03961095213890076,
-0.02247460186481476,
0.021409790962934494,
0.06559233367443085,
-0.0019379552686586976,
-0.052729420363903046,
0.009001198224723339,
0.002937102457508445,
0.0068680280819535255,
0.008362311869859695,
-0.02725915051996708,
-0.02166534587740898,
-0.022290034219622612
] |
1210_1 | Development of unit definition
Earth's orbit around the Sun is an ellipse. The semi-major axis of this elliptic orbit is defined to be half of the straight line segment that joins the perihelion and aphelion. The centre of the Sun lies on this straight line segment, but not at its midpoint. Because ellipses are well-understood shapes, measuring the points of its extremes defined the exact shape mathematically, and made possible calculations for the entire orbit as well as predictions based on observation. In addition, it mapped out exactly the largest straight-line distance that Earth traverses over the course of a year, defining times and places for observing the largest parallax (apparent shifts of position) in nearby stars. Knowing Earth's shift and a star's shift enabled the star's distance to be calculated. But all measurements are subject to some degree of error or uncertainty, and the uncertainties in the length of the astronomical unit only increased uncertainties in the stellar distances. Improvements in precision have always been a key to improving astronomical understanding. Throughout the twentieth century, measurements became increasingly precise and sophisticated, and ever more dependent on accurate observation of the effects described by Einstein's theory of relativity and upon the mathematical tools it used.
Improving measurements were continually checked and cross-checked by means of improved understanding of the laws of celestial mechanics, which govern the motions of objects in space. The expected positions and distances of objects at an established time are calculated (in au) from these laws, and assembled into a collection of data called an ephemeris. NASA Jet Propulsion Laboratory HORIZONS System provides one of several ephemeris computation services. | [
0.011327129788696766,
0.0388069786131382,
0.017973151057958603,
-0.029964882880449295,
-0.027653222903609276,
0.03895145654678345,
-0.0027884389273822308,
-0.012222898192703724,
0.03932710364460945,
0.030109360814094543,
0.029300279915332794,
-0.009737864136695862,
-0.03169862553477287,
-0.02385343238711357,
-0.038373541086912155,
-0.005479354877024889,
-0.03337457776069641,
-0.02115168236196041,
-0.05594215169548988,
0.019504625350236893,
0.001660602050833404,
-0.009802879765629768,
-0.027552088722586632,
-0.057271357625722885,
0.012295137159526348,
0.0417543426156044,
0.07119910418987274,
0.03869139403104782,
0.048198092728853226,
0.0816015675663948,
-0.004785856697708368,
-0.013812163844704628,
-0.01066252775490284,
-0.04259232059121132,
0.008567586541175842,
-0.015025785192847252,
0.022451989352703094,
-0.02018367499113083,
0.018551064655184746,
-0.049093861132860184,
0.016961799934506416,
-0.009976253844797611,
0.01667284220457077,
-0.009347772225737572,
-0.020328152924776077,
0.0049520074389874935,
0.021527325734496117,
-0.039182621985673904,
-0.010741990990936756,
-0.012966963462531567,
0.003288696287199855,
0.006779662799090147,
0.030513901263475418,
-0.0049339476972818375,
-0.020631559193134308,
0.0057538640685379505,
-0.0025554669555276632,
-0.00992568675428629,
-0.05782037600874901,
0.026179540902376175,
0.010366346687078476,
-0.005038694478571415,
-0.00801856815814972,
-0.05608662962913513,
-0.02703196555376053,
0.043661464005708694,
-0.0215417742729187,
-0.012627438642084599,
0.003566817846149206,
-0.040627408772706985,
-0.01231680903583765,
0.022090792655944824,
0.025789447128772736,
-0.009867895394563675,
-0.05027858912944794,
0.008610930293798447,
-0.025760551914572716,
0.014837962575256824,
-0.010453034192323685,
-0.020053643733263016,
0.0031803373713046312,
0.04100305587053299,
-0.0472734309732914,
-0.0039803883992135525,
-0.005446847062557936,
-0.02953144535422325,
0.022668708115816116,
0.029069114476442337,
0.023506684228777885,
-0.003944268450140953,
0.011428264901041985,
0.044354960322380066,
-0.02460472285747528,
0.00087499909568578,
0.031525250524282455,
-0.00266563193872571,
-0.013566549867391586,
0.015271398238837719,
0.010518048889935017,
0.022582020610570908,
0.016990695148706436,
0.09084820747375488,
-0.003850357374176383,
0.06079663708806038,
-0.03626415506005287,
0.061779092997312546,
-0.04016507789492607,
-0.002806498669087887,
0.002770378952845931,
-0.05969860032200813,
0.046002019196748734,
0.008603706955909729,
0.016297196969389915,
-0.0012650915887206793,
0.025543833151459694,
0.05131883546710014,
-0.026598528027534485,
0.009145502001047134,
-0.028996875509619713,
-0.009391115047037601,
-0.0045041232369840145,
-0.009788432158529758,
0.04397931694984436,
0.037564460188150406,
-0.005482966545969248,
-0.005349323619157076,
-0.03473268076777458,
0.00027473527006804943,
-0.017554162070155144,
-0.019562415778636932,
-0.008827648125588894,
-0.018666647374629974,
-0.021093890070915222,
0.0332878939807415,
0.017944253981113434,
0.013082546181976795,
0.0463198721408844,
0.0046377661637961864,
0.01137047354131937,
-0.04178323969244957,
-0.003839521436020732,
-0.02304435335099697,
0.01772753708064556,
0.06518878787755966,
-0.024127943441271782,
0.026020614430308342,
-0.023304414004087448,
0.015849312767386436,
-0.025067053735256195,
0.002450719941407442,
-0.018392138183116913,
0.0007386473589576781,
0.01829100400209427,
0.014881306327879429,
-0.024705857038497925,
-0.033085621893405914,
0.0022665096912533045,
0.0007535467157140374,
-0.0010212837951257825,
-0.0273931622505188,
0.0019522684160619974,
-0.024518035352230072,
0.031583044677972794,
-0.000765737087931484,
0.004908663686364889,
-0.01123321894556284,
-0.07472438365221024,
-0.0424189455807209,
-0.005696072708815336,
0.0014402720844373107,
0.0476490743458271,
-0.017915358766913414,
-0.011565519496798515,
-0.018825573846697807,
0.02079048566520214,
0.08986575156450272,
0.01138492114841938,
-0.054266199469566345,
-0.027205338701605797,
0.0068482905626297,
-0.03184310719370842,
-0.013089770451188087,
-0.013515982776880264,
0.03343237191438675,
-0.04163876175880432,
0.004699169658124447,
-0.002355002798140049,
0.04273679852485657,
0.0019342085579410195,
-0.010821454226970673,
-0.003279666416347027,
0.020313704386353493,
-0.03635084256529808,
0.003727550385519862,
-0.019952507689595222,
0.004366868641227484,
-0.05264803767204285,
0.010568616911768913,
-0.014635692350566387,
-0.008452003821730614,
-0.011543847620487213,
0.023333309218287468,
-0.006855514366179705,
0.01160886324942112,
-0.009658400900661945,
-0.012771916575729847,
0.04236115515232086,
0.06738486886024475,
-0.014715155586600304,
0.036813173443078995,
0.020646005868911743,
-0.011225994676351547,
0.013270368799567223,
0.013024754822254181,
0.010402466170489788,
0.009470578283071518,
-0.01931680180132389,
0.04912275820970535,
-0.015285846777260303,
0.026959724724292755,
0.017279652878642082,
0.028823500499129295,
-0.01134157832711935,
0.08241064846515656,
0.04487508535385132,
-0.015791522338986397,
-0.004598034545779228,
0.055046383291482925,
-0.014252823777496815,
0.026237331330776215,
0.011507728137075901,
0.0362352579832077,
0.0013174650957807899,
-0.01028688345104456,
0.016528362408280373,
0.018811127170920372,
-0.009066038765013218,
0.035195011645555496,
-0.004186270292848349,
-0.0024543318431824446,
0.0711413100361824,
-0.030571693554520607,
0.039847224950790405,
0.009174397215247154,
0.0036715648602694273,
0.05481521785259247,
0.00887821614742279,
-0.008134150877594948,
0.020111434161663055,
0.07796070724725723,
-0.05181006342172623,
0.03941378742456436,
0.029025770723819733,
-0.03175641968846321,
-0.0469844713807106,
0.01829100400209427,
0.028288928791880608,
0.021585118025541306,
0.02496591955423355,
-0.09460465610027313,
0.014397302642464638,
-0.006266763433814049,
0.049729567021131516,
-0.02646849863231182,
-0.032305438071489334,
0.03213206306099892,
0.017467474564909935,
0.018363242968916893,
0.02892463654279709,
-0.011124859564006329,
-0.05363049358129501,
-0.01748192310333252,
-0.06773161143064499,
-0.028693469241261482,
-0.014014434069395065,
-0.019692447036504745,
-0.014823514968156815,
-0.0342414528131485,
0.07252831012010574,
-0.036668695509433746,
-0.0025193472392857075,
-0.011991731822490692,
-0.02950255014002323,
0.02895353175699711,
-0.02964702993631363,
0.022914322093129158,
0.014158912934362888,
0.04958508908748627,
0.01324869692325592,
0.05102987587451935,
0.0031369938515126705,
-0.0531681627035141,
-0.006768826860934496,
-0.0469844713807106,
0.026714110746979713,
-0.0010348287178203464,
0.04192771762609482,
0.06062326207756996,
0.010070165619254112,
-0.05181006342172623,
0.012237345799803734,
0.0005296047311276197,
-0.03363464027643204,
0.011587191373109818,
-0.014650139957666397,
0.0094633549451828,
-0.005829715635627508,
0.015401429496705532,
0.006732707377523184,
-0.03796900063753128,
-0.03207427263259888,
-0.006703811697661877,
-0.019663551822304726,
-0.022004105150699615,
-0.03788231313228607,
0.008668721653521061,
0.04788023978471756,
-0.013942194171249866,
0.03733329474925995,
-0.049671776592731476,
-0.015358085744082928,
0.0014077642699703574,
-0.02015477791428566,
-0.004840036388486624,
-0.00890711136162281,
0.05767589807510376,
-0.012295137159526348,
-0.006692975759506226,
-0.016918456181883812,
-0.01642722822725773,
-0.03577292710542679,
-0.002033537719398737,
0.018695544451475143,
0.030167153105139732,
-0.0319586880505085,
-0.011514952406287193,
0.026381811127066612,
0.011709998361766338,
0.01252630352973938,
-0.004291017539799213,
0.06368621438741684,
-0.05377497151494026,
0.002020895713940263,
0.012981411069631577,
-0.031583044677972794,
0.010099060833454132,
0.01231680903583765,
-0.012071195058524609,
-0.026121748611330986,
0.027046412229537964,
-0.028650125488638878,
-0.00673631951212883,
-0.006169240456074476,
0.012280689552426338,
0.005659953225404024,
0.013436518609523773,
0.0008135956595651805,
-0.020862724632024765,
-0.04253453016281128,
-0.010510825552046299,
0.0015368921449407935,
0.005562429782003164,
0.01973579078912735,
-0.024648066610097885,
-0.015849312767386436,
-0.008625377900898457,
0.02274094708263874,
-0.03545507416129112,
0.013978314585983753,
-0.022697603330016136,
0.0014294361462816596,
0.019360145553946495,
-0.020617110654711723,
-0.027797702699899673,
0.021975209936499596,
-0.00032281960011459887,
0.05261914059519768,
0.051867853850126266,
0.006819394417107105,
-0.026150643825531006,
0.008567586541175842,
0.005259024444967508,
-0.0017906328430399299,
-0.0062161958776414394,
-0.03961605951189995,
0.007888536900281906,
-0.034530408680438995,
0.007953552529215813,
-0.028967978432774544,
-0.05311036854982376,
-0.006035597529262304,
-0.0016371242236346006,
-0.012656333856284618,
-0.012432391755282879,
-0.036784276366233826,
-0.027566535398364067,
0.0499318391084671,
0.04605980962514877,
-0.0014745857333764434,
-0.03406807780265808,
0.013465414755046368,
0.029762612655758858,
-0.017106277868151665,
0.0019432385452091694,
0.0008497153758071363,
0.02310214377939701,
-0.013732700608670712,
0.055797673761844635,
0.026656320318579674,
-0.012685230001807213,
-0.03710212931036949,
-0.01820431649684906,
0.02216303162276745,
-0.043574776500463486,
0.02460472285747528,
0.04455723240971565,
-0.006591840647161007,
-0.018782230094075203,
0.004868932068347931,
-0.007664594799280167,
-0.05241687223315239,
0.011861701495945454,
-0.02346334047615528,
0.07125689089298248,
0.01028688345104456,
-0.031554147601127625,
-0.009159949608147144,
-0.07148806005716324,
0.01181835774332285,
0.006490705534815788,
-0.0189267098903656,
-0.02243754267692566,
-0.029878195375204086,
-0.006472645793110132,
-0.01868109591305256,
-0.0007539982325397432,
0.04415269196033478,
0.018796678632497787,
0.04759128391742706,
-0.05631779879331589,
0.026786351576447487,
0.07824966311454773,
0.006447361782193184,
0.01195561233907938,
0.013768820092082024,
0.013667684979736805,
0.0408007837831974,
0.03632194548845291,
0.00004543177783489227,
-0.026757454499602318,
-0.01063363254070282,
-0.059525225311517715,
0.04998962953686714,
-0.02433021366596222,
-0.029184697195887566,
0.032883353531360626,
0.019995851442217827,
-0.027089755982160568,
0.0066893636249005795,
0.001649766112677753,
-0.00455830292776227,
0.005020634736865759,
-0.0004961940576322377,
-0.010026821866631508,
-0.025182636454701424,
0.03403918072581291,
-0.053399328142404556,
0.03559955209493637,
0.024980366230010986,
-0.014939097687602043,
0.023347757756710052,
-0.018883366137742996,
0.013176457025110722,
0.00046820129500702024,
0.006469033658504486,
-0.07911653816699982,
-0.03496384620666504,
-0.01962020806968212,
-0.01907118782401085,
-0.009904014877974987,
0.02682969532907009,
-0.00803301576524973,
0.007823521271348,
-0.05975639075040817,
-0.002136478666216135,
-0.027566535398364067,
-0.01811762899160385,
0.015300294384360313,
-0.0024723918177187443,
0.0502207949757576,
-0.07189260423183441,
-0.0006912403041496873,
-0.02516818977892399,
-0.06536216288805008,
0.02396901696920395,
-0.042967963963747025,
-0.029069114476442337,
-0.03854691609740257,
0.0100340461358428,
-0.03499273955821991,
0.03112071193754673,
-0.0016289973864331841,
-0.03421255573630333,
0.03476157411932945,
0.007577907759696245,
-0.07339517772197723,
-0.03398139029741287,
-0.018579959869384766,
0.004897827748209238,
0.012338480912148952,
-0.012981411069631577,
-0.015834866091609,
0.02057376690208912,
0.016210509464144707,
0.005833327304571867,
0.01976468600332737,
0.05903399735689163,
0.01904229260981083,
0.02057376690208912,
0.03201647847890854,
0.023232175037264824,
-0.031669732183218,
-0.01197005994617939,
0.01859440840780735,
-0.00758513156324625,
-0.018941156566143036,
0.015271398238837719,
-0.0125551987439394,
-0.01865220069885254,
-0.08033015578985214,
-0.0062089720740914345,
-0.039067041128873825,
-0.03695765137672424,
-0.039182621985673904,
-0.05334153398871422,
0.020674901083111763,
0.04409489780664444,
0.010503601282835007,
-0.019114531576633453,
-0.04319912940263748,
-0.02388232946395874,
0.016181614249944687,
-0.02355002798140049,
0.023810090497136116,
-0.03583071753382683,
-0.03337457776069641,
-0.02817334607243538,
0.025269323959946632,
-0.07524450868368149,
-0.021093890070915222,
-0.01931680180132389,
0.01642722822725773,
0.054988592863082886,
0.009470578283071518,
-0.03773783519864082,
-0.049729567021131516,
-0.014866857789456844,
-0.0002571269287727773,
-0.004663050174713135,
0.008358092978596687,
0.015820417553186417,
0.05111656337976456,
0.010734767653048038,
-0.02878015674650669,
0.016513915732502937,
0.015545908361673355,
-0.020501527935266495,
0.0037022666074335575,
0.038373541086912155,
-0.01856551319360733,
-0.006938589736819267,
0.049758464097976685,
0.02343444526195526,
0.028462303802371025,
-0.016600603237748146,
-0.02513929456472397,
-0.02096385881304741,
-0.0022484497167170048,
-0.028664574027061462,
-0.025124846026301384,
0.033085621893405914,
-0.007996896281838417,
-0.04418158531188965,
-0.042072195559740067,
-0.003792565781623125,
-0.017770880833268166,
0.008394212462008,
0.03363464027643204,
0.013212577439844608,
0.029242489486932755,
-0.023174382746219635,
0.02207634598016739,
0.0000691917521180585,
0.02967592515051365,
0.03776673227548599,
-0.014021657407283783,
-0.03415476530790329,
-0.0057105207815766335,
0.019244562834501266,
-0.05389055609703064,
-0.010778111405670643,
0.044412750750780106,
0.004973679315298796,
-0.009015470743179321,
0.03259439393877983,
-0.00304488861002028,
-0.023232175037264824,
0.004298241343349218,
0.030485006049275398,
0.010510825552046299,
-0.0032561887055635452,
0.0551619678735733,
0.02433021366596222,
-0.003821461694315076,
0.024099046364426613,
0.03343237191438675,
-0.0567801296710968,
0.024070151150226593,
0.029907090589404106,
-0.012324033305048943,
-0.017554162070155144,
0.004493287764489651,
0.014028881676495075,
-0.04762018099427223,
-0.041378699243068695,
0.013479862362146378,
-0.0189267098903656,
0.047417908906936646,
-0.03117850422859192,
-0.02394011989235878,
0.018016492947936058,
0.0009481414454057813,
-0.0018565512727946043,
0.03698654845356941,
0.00875540915876627,
-0.0038648052141070366,
-0.004832812584936619,
0.01398553792387247,
-0.011045396327972412,
-0.009203293360769749,
0.0985344722867012,
0.006017537787556648,
0.0018764170818030834,
-0.02967592515051365,
-0.028823500499129295,
0.02964702993631363,
-0.024922575801610947,
0.05227239429950714,
-0.018724439665675163,
-0.01661504991352558,
0.01847882568836212,
0.032276540994644165,
0.001812304719351232,
-0.02187407575547695,
0.013205353170633316,
0.0740886777639389,
0.018392138183116913,
-0.05160779133439064,
-0.02151287905871868,
0.08859433978796005,
-0.00044856121530756354,
-0.0015025784960016608,
-0.015661491081118584,
-0.041985511779785156,
0.03112071193754673,
0.01823321171104908,
-0.03926930949091911,
-0.008083582855761051,
-0.02630957029759884,
-0.026627425104379654,
-0.027234233915805817,
-0.03545507416129112,
-0.030947336927056313,
0.006566557101905346,
0.005656341090798378,
-0.05111656337976456,
-0.03270997852087021,
0.01817542128264904,
0.03502163663506508,
0.02324662357568741,
0.03551286458969116,
-0.021036097779870033,
0.018059836700558662,
-0.0016578930662944913,
-0.00910215824842453,
-0.03744887933135033,
-0.056664545089006424,
-0.020530423149466515,
0.030571693554520607,
-0.03583071753382683,
-0.009550042450428009,
-0.051145460456609726,
0.06218363344669342,
0.011493280529975891,
0.009427235461771488,
0.007447876967489719,
-0.025312667712569237,
-0.031467460095882416,
0.04455723240971565,
-0.004876156337559223,
0.04883379861712456,
0.0433725044131279,
0.031294085085392,
0.010171300731599331,
-0.010611960664391518,
-0.032363228499889374,
0.05940964072942734,
0.0508853979408741,
0.03802679479122162,
-0.017770880833268166,
0.02274094708263874,
-0.04149428382515907,
0.0388069786131382,
-0.07431983947753906,
-0.010965933091938496,
0.00925386045128107,
0.02784104458987713,
0.023347757756710052,
-0.03507942706346512,
-0.013537653721868992,
0.02321772649884224,
0.042158883064985275,
0.010106285102665424,
-0.030196048319339752,
0.022957665845751762,
0.014151688665151596,
0.00925386045128107,
-0.026844142004847527,
0.0079174330458045,
-0.022813186049461365,
-0.03770894184708595,
0.01784311980009079,
0.00774405850097537,
0.00040589485433883965,
0.004540243186056614,
-0.007606803439557552,
0.004251285921782255,
0.01982247829437256,
0.018132077530026436,
-0.05464184284210205,
0.0198802687227726,
0.010026821866631508,
0.016542810946702957,
0.04409489780664444,
-0.03123629465699196,
-0.09680072963237762,
0.011428264901041985,
-0.058831725269556046,
-0.04033845290541649,
0.04322802647948265,
-0.022148584946990013,
0.00011355122842360288,
0.03889366611838341,
-0.0851268470287323,
-0.024156838655471802,
0.013747148215770721,
0.029025770723819733,
0.032218750566244125,
0.009196069091558456,
-0.063339464366436,
0.026454050093889236,
-0.0024055703543126583,
-0.022639812901616096,
-0.008849320001900196,
-0.0018493273528292775,
-0.020747141912579536,
-0.06345504522323608,
-0.036668695509433746,
0.018970053642988205,
0.027537640184164047,
-0.03516611456871033,
-0.008596482686698437,
-0.01561814732849598,
0.02970482036471367,
-0.03886476904153824,
0.004077911376953125,
-0.02513929456472397,
-0.0590628907084465,
-0.029791507869958878,
-0.013270368799567223,
0.028014419600367546,
0.016904007643461227,
0.0394715815782547,
0.007350353989750147,
-0.02051597461104393,
-0.01458512432873249,
0.03331678733229637,
0.026454050093889236,
0.005244576837867498,
-0.029545893892645836,
0.019547967240214348,
0.020443735644221306,
0.020660454407334328,
-0.05131883546710014,
0.003734774421900511,
0.015762625262141228,
0.0074767726473510265,
-0.018132077530026436,
0.009542818181216717,
-0.025818344205617905,
0.013060874305665493,
0.00233513698913157,
-0.01233125664293766,
-0.010453034192323685,
-0.00014831640874035656,
-0.030947336927056313,
-0.0062161958776414394,
-0.02928583323955536,
-0.06004534661769867,
0.018579959869384766,
-0.012230121530592442,
0.05415061488747597,
0.007614027243107557,
0.0011477026855573058,
0.000320336373988539,
0.012981411069631577,
0.042939070612192154,
-0.0014213091926649213,
-0.019721342250704765,
-0.03036942332983017,
-0.0017563191941007972,
0.033027831465005875,
-0.0015973926056176424,
0.06501541286706924,
0.03192979097366333,
-0.00007082842785166577,
0.012851380743086338,
-0.022755395621061325,
-0.014310615137219429,
0.04906496778130531,
0.00022518359764944762,
-0.00010373118857387453,
0.04181213676929474,
-0.009528370574116707,
0.03724660724401474,
-0.036090780049562454,
-0.07645812630653381,
0.004644989967346191,
0.015256950631737709,
0.0015450190985575318,
0.010828678496181965,
0.016513915732502937,
-0.04704226553440094,
-0.031583044677972794,
-0.047302328050136566,
0.014765722677111626,
-0.033692434430122375,
-0.0033591296523809433,
0.030571693554520607,
-0.026815246790647507,
-0.022061897441744804,
0.06917639821767807,
0.013219800777733326,
0.031669732183218,
0.011269338428974152,
0.04233225807547569,
0.05533534288406372,
0.07212376594543457,
0.021946314722299576,
0.022625364363193512,
-0.03126519173383713,
-0.028187794610857964,
-0.003821461694315076,
-0.01886891759932041,
0.015025785192847252,
0.03811348229646683,
0.023506684228777885,
-0.01515581551939249,
-0.034674886614084244,
-0.028274482116103172,
-0.01751081831753254,
-0.013515982776880264,
0.00815582275390625,
0.021411743015050888,
0.05917847529053688,
-0.006866350304335356,
0.001526959240436554,
-0.05458405241370201,
0.03802679479122162,
0.043632566928863525,
0.006252315826714039,
0.007888536900281906,
-0.035368386656045914,
-0.013776044361293316,
-0.02135395258665085,
-0.02003919519484043,
-0.006086165085434914,
-0.022090792655944824,
-0.024373557418584824,
0.018724439665675163,
-0.015574803575873375,
-0.01422392763197422,
0.002412794390693307,
-0.03663979843258858,
0.0013553907629102468,
0.028823500499129295,
0.010113509371876717,
0.000049523459892952815,
-0.07431983947753906,
-0.051867853850126266,
0.004099583253264427,
0.050509754568338394,
0.00007173141784733161,
0.030658379197120667,
0.04022286832332611,
0.032883353531360626,
-0.03721771389245987,
-0.026179540902376175,
0.0022105241660028696,
-0.032218750566244125,
0.03401028737425804,
0.001006835955195129,
-0.03351905941963196,
-0.005652728956192732,
-0.06906081736087799,
0.0010303137823939323,
0.029358072206377983,
0.043661464005708694,
-0.029935985803604126,
-0.005291532259434462,
-0.03877808153629303,
-0.031554147601127625,
0.03661090135574341,
-0.02123836800456047,
0.0034259511157870293,
0.05308147519826889,
-0.016932902857661247,
0.04253453016281128,
-0.04548189416527748,
0.24572937190532684,
0.03805568814277649,
0.020674901083111763,
0.029386967420578003,
0.016297196969389915,
0.027234233915805817,
0.0277254618704319,
-0.019172323867678642,
-0.027465401217341423,
-0.029213592410087585,
-0.015791522338986397,
-0.01931680180132389,
0.010741990990936756,
-0.0021509267389774323,
0.04640655964612961,
0.04805361479520798,
-0.021527325734496117,
-0.009600609540939331,
0.035223908722400665,
-0.02174404449760914,
-0.08102365583181381,
-0.003245352767407894,
-0.005295144394040108,
-0.005782759748399258,
0.0071300240233540535,
0.016932902857661247,
0.012966963462531567,
-0.032970041036605835,
-0.018912261351943016,
-0.02799997106194496,
-0.04918054863810539,
-0.013566549867391586,
0.014512885361909866,
0.012800812721252441,
-0.015054680407047272,
0.0472734309732914,
-0.0001917728950502351,
-0.0019125367980450392,
-0.037535566836595535,
-0.020862724632024765,
0.006602676585316658,
-0.023419996723532677,
-0.01088646985590458,
0.0001265317405341193,
0.02872236631810665,
0.04114753380417824,
0.016441676765680313,
-0.028404511511325836,
-0.011168203316628933,
-0.04987404868006706,
0.05308147519826889,
-0.04426827281713486,
0.023925673216581345,
0.05305257812142372,
-0.07391530275344849,
0.008098031394183636,
0.012547975406050682,
-0.005858611315488815,
0.0018357824301347136,
0.026786351576447487,
0.06293492019176483,
-0.000513350882101804,
-0.05467073991894722,
0.030860649421811104,
-0.006541273090988398,
0.048313677310943604,
-0.019157875329256058,
0.03675537928938866,
-0.013783267699182034,
0.019966956228017807,
0.005201233085244894,
-0.01714962162077427,
-0.04181213676929474,
0.020703798159956932,
0.006707423832267523,
0.026049509644508362,
-0.042072195559740067,
0.036726485937833786,
-0.02616509236395359,
-0.006956649478524923,
0.027161994948983192,
0.033143412321805954,
-0.04149428382515907,
-0.017886463552713394,
0.036813173443078995,
0.06068105250597,
0.02418573386967182,
-0.0061836885288357735,
-0.0008217226131819189,
-0.002734259469434619,
0.007960776798427105,
0.0041754343546926975,
-0.028635678812861443,
-0.034674886614084244,
0.0008605512557551265
] |
1210_2 | In 1976, to establish an even precise measure for the astronomical unit, the IAU formally adopted a new definition. Although directly based on the then-best available observational measurements, the definition was recast in terms of the then-best mathematical derivations from celestial mechanics and planetary ephemerides. It stated that "the astronomical unit of length is that length (A) for which the Gaussian gravitational constant (k) takes the value when the units of measurement are the astronomical units of length, mass and time". Equivalently, by this definition, one au is "the radius of an unperturbed circular Newtonian orbit about the sun of a particle having infinitesimal mass, moving with an angular frequency of "; or alternatively that length for which the heliocentric gravitational constant (the product G) is equal to ()2 au3/d2, when the length is used to describe the positions of objects in the Solar System.
Subsequent explorations of the Solar System by space probes made it possible to obtain precise measurements of the relative positions of the inner planets and other objects by means of radar and telemetry. As with all radar measurements, these rely on measuring the time taken for photons to be reflected from an object. Because all photons move at the speed of light in vacuum, a fundamental constant of the universe, the distance of an object from the probe is calculated as the product of the speed of light and the measured time. However, for precision the calculations require adjustment for things such as the motions of the probe and object while the photons are transiting. In addition, the measurement of the time itself must be translated to a standard scale that accounts for relativistic time dilation. Comparison of the ephemeris positions with time measurements expressed in Barycentric Dynamical Time (TDB) leads to a value for the speed of light in astronomical units per day (of ). By 2009, the IAU had updated its standard measures to reflect improvements, and calculated the speed of light at (TDB). | [
0.006621527951210737,
0.022943761199712753,
0.026649149134755135,
-0.014339851215481758,
-0.041885703802108765,
0.03133276104927063,
-0.03180705010890961,
-0.020513027906417847,
0.006395499221980572,
0.028309162706136703,
0.023818232119083405,
-0.02543378248810768,
-0.0316588319838047,
-0.03746888041496277,
-0.0237441249191761,
-0.002156535629183054,
-0.01837872341275215,
-0.007722028065472841,
-0.06954272091388702,
0.02057231403887272,
0.021594999358057976,
0.000683644029777497,
-0.06183551251888275,
-0.023299477994441986,
-0.004005524329841137,
0.053772587329149246,
0.06070907413959503,
0.031984906643629074,
0.05691475793719292,
0.07238845527172089,
0.013754399493336678,
-0.04280463978648186,
0.03266669809818268,
-0.09153790026903152,
-0.0027104911860078573,
-0.015310662798583508,
0.04914826527237892,
-0.026130395010113716,
0.041055697947740555,
-0.023195728659629822,
0.03972175717353821,
-0.002971721114590764,
0.028412913903594017,
0.002936519915238023,
-0.017163356766104698,
0.0015942431055009365,
0.025745034217834473,
-0.03580886870622635,
0.007529348134994507,
-0.04532430320978165,
0.006354739889502525,
0.00872989371418953,
0.017341215163469315,
-0.012739123776555061,
0.02116517536342144,
0.02116517536342144,
-0.021357854828238487,
-0.006028666161000729,
-0.03809138759970665,
0.03355599194765091,
0.016022097319364548,
-0.002662321086972952,
-0.0047243693843483925,
-0.054869383573532104,
-0.015725666657090187,
0.033674564212560654,
0.01299850083887577,
-0.016718709841370583,
-0.004994862712919712,
-0.026071108877658844,
-0.00005387286364566535,
0.030828826129436493,
-0.002840179717168212,
-0.0035052967723459005,
-0.03491957485675812,
0.02564128302037716,
0.004646556451916695,
0.032014552503824234,
-0.032577767968177795,
0.016155490651726723,
0.009752580896019936,
0.027523620054125786,
-0.01312448363751173,
-0.02091320976614952,
0.019519982859492302,
-0.03352634981274605,
-0.000973590649664402,
-0.005402455572038889,
0.03076953999698162,
-0.0019508866826072335,
0.013302342034876347,
0.04102605581283569,
-0.015206911601126194,
-0.030888112261891365,
0.038536034524440765,
-0.0265602208673954,
-0.02252875827252865,
0.01243528164923191,
0.02876863069832325,
0.02091320976614952,
0.01667424477636814,
0.040196046233177185,
-0.023581087589263916,
0.042774997651576996,
-0.029554173350334167,
0.07138059288263321,
-0.024055378511548042,
0.008122210390865803,
-0.021565357223153114,
-0.03518636152148247,
0.05679618567228317,
0.017978541553020477,
0.0051912483759224415,
0.007140282541513443,
0.016022097319364548,
0.04514644667506218,
-0.06562983244657516,
0.018408367410302162,
-0.020438918843865395,
0.006087952293455601,
0.033140987157821655,
0.0009782223496586084,
0.04055176302790642,
0.05501759797334671,
-0.0006600221968255937,
-0.020987316966056824,
-0.009041146375238895,
-0.0022158219944685698,
-0.025463424623012543,
-0.012857696041464806,
-0.014606638811528683,
-0.02820541150867939,
-0.039662472903728485,
0.02285483293235302,
0.050660062581300735,
0.013583951629698277,
0.021002138033509254,
0.013887793757021427,
0.02509288676083088,
-0.0807478129863739,
-0.00634732935577631,
-0.017000319436192513,
-0.042448922991752625,
0.05620332434773445,
-0.04843682795763016,
0.04268606752157211,
-0.020261060446500778,
0.04538359120488167,
-0.006736394949257374,
0.004309365991503,
0.0072069792076945305,
-0.02202482521533966,
0.0006841072463430464,
0.026589863002300262,
-0.04407929256558418,
-0.01695585437119007,
-0.025196637958288193,
-0.0006896653212606907,
-0.009982314892113209,
-0.023225370794534683,
-0.018126757815480232,
-0.014473244547843933,
0.03666851669549942,
0.022232327610254288,
-0.010263924486935139,
0.011731257662177086,
-0.05706297233700752,
-0.056588683277368546,
-0.010419550351798534,
0.02713826112449169,
0.02713826112449169,
-0.018245330080389977,
-0.001962002832442522,
0.004116686061024666,
0.05080827698111534,
0.07304060459136963,
0.01172384712845087,
-0.01575530879199505,
-0.02226196974515915,
-0.013235645368695259,
-0.01720782183110714,
-0.03139204531908035,
0.005973085295408964,
0.038209959864616394,
-0.03975139930844307,
-0.010538122616708279,
-0.009804456494748592,
-0.00011556177923921496,
0.01720782183110714,
-0.046361811459064484,
0.00021155449212528765,
-0.003672039369121194,
-0.06479982286691666,
0.021594999358057976,
-0.017370857298374176,
-0.0015544102061539888,
-0.004842942114919424,
0.029302207753062248,
-0.01297626830637455,
-0.006365856155753136,
0.019519982859492302,
0.008974449709057808,
-0.039336398243904114,
0.04778468236327171,
-0.04084819555282593,
-0.019075335934758186,
0.0726848840713501,
0.04591716453433037,
-0.021817322820425034,
0.00564701110124588,
0.030621325597167015,
-0.005587724968791008,
0.02423323690891266,
0.029480066150426865,
0.012679836712777615,
0.0036683338694274426,
-0.01383591815829277,
0.05946406349539757,
-0.02341805025935173,
0.003986997529864311,
0.029687566682696342,
-0.0007466356619261205,
0.0042241420596838,
0.0587526299059391,
0.047013960778713226,
-0.010123119689524174,
-0.005120845977216959,
0.0858464241027832,
0.011205093003809452,
0.010441782884299755,
-0.02286965399980545,
0.0321924090385437,
0.01227965485304594,
-0.014132348820567131,
0.02286965399980545,
0.008566856384277344,
0.0023603320587426424,
0.053239013999700546,
0.005420982372015715,
-0.0030791773460805416,
0.04336785897612572,
-0.014369494281709194,
0.03981068730354309,
-0.005543260369449854,
-0.003864719532430172,
0.04485001415014267,
0.022899296134710312,
0.004802182782441378,
-0.0025993294548243284,
0.07778350263834,
-0.043871790170669556,
0.031747762113809586,
0.057685479521751404,
-0.008099977858364582,
-0.04947433993220329,
-0.02002391591668129,
0.04366429150104523,
0.03159954771399498,
0.006236167624592781,
-0.08412712812423706,
0.009811867028474808,
-0.011597864329814911,
0.018171221017837524,
-0.040759265422821045,
-0.009834099560976028,
0.01577012985944748,
-0.017845148220658302,
0.03912889584898949,
0.024351809173822403,
-0.01636299304664135,
-0.053179726004600525,
-0.012294476851820946,
-0.04259713739156723,
-0.032044194638729095,
-0.02341805025935173,
-0.04286392778158188,
-0.021935895085334778,
-0.043842148035764694,
0.08614285290241241,
0.002075017197057605,
-0.02174321562051773,
-0.013161537237465382,
-0.030058106407523155,
0.02260286547243595,
-0.03776531293988228,
0.04141141474246979,
-0.038773179054260254,
0.04615430906414986,
-0.013094840571284294,
0.06586697697639465,
-0.0005961042479611933,
-0.04902969300746918,
0.00024362925614695996,
-0.014310208149254322,
0.03462314233183861,
0.0037943171337246895,
0.0065733580850064754,
0.04944469407200813,
0.017608003690838814,
-0.06159836798906326,
0.0002774409076664597,
-0.010908661410212517,
-0.042182136327028275,
-0.0036368381697684526,
-0.006288043223321438,
0.01803782768547535,
-0.02006838098168373,
0.019312480464577675,
0.03474171459674835,
-0.01691138930618763,
-0.032044194638729095,
0.019001228734850883,
0.007299614138901234,
0.028101662173867226,
-0.038506388664245605,
0.009663651697337627,
0.022632509469985962,
-0.009774813428521156,
0.03758745267987251,
-0.04490930214524269,
-0.048940762877464294,
-0.033437419682741165,
-0.004331598524004221,
-0.01215367205440998,
-0.0006150943809188902,
0.027716301381587982,
0.0097229378297925,
-0.011071698740124702,
0.006888316012918949,
-0.03391170874238014,
-0.015666380524635315,
-0.027212368324398994,
-0.011494113132357597,
0.001509945490397513,
-0.013695113360881805,
-0.044998228549957275,
0.0175042524933815,
-0.018808549270033836,
0.024603774771094322,
0.010397317819297314,
0.06503696739673615,
-0.0401071161031723,
-0.022098932415246964,
0.027745943516492844,
-0.03477136045694351,
0.015192090533673763,
0.023091977462172508,
-0.01831943728029728,
-0.0056877704337239265,
0.011560809798538685,
-0.030384181067347527,
-0.004791066516190767,
0.016022097319364548,
0.03305206075310707,
0.01575530879199505,
0.015192090533673763,
0.0029402251821011305,
-0.019860878586769104,
-0.038239601999521255,
-0.038506388664245605,
0.04541323333978653,
0.01640745811164379,
0.019949808716773987,
-0.04058140888810158,
-0.022647330537438393,
0.022098932415246964,
0.019386589527130127,
-0.015281019732356071,
0.009055967442691326,
-0.058604415506124496,
-0.008240782655775547,
-0.017874790355563164,
-0.025567175820469856,
-0.022187862545251846,
-0.006940191611647606,
0.020364811643958092,
0.042508210986852646,
0.04790325462818146,
0.015577450394630432,
-0.0175042524933815,
0.01579977385699749,
0.0024863153230398893,
-0.007043942343443632,
-0.018823370337486267,
-0.00015701580559834838,
-0.004038872662931681,
-0.03815067186951637,
0.0021676518954336643,
-0.007877654395997524,
-0.06723055988550186,
-0.023195728659629822,
-0.024455560371279716,
0.008500159718096256,
-0.013087430037558079,
-0.0360756553709507,
0.002497431356459856,
0.0675862729549408,
0.03331884741783142,
0.02876863069832325,
-0.030324893072247505,
0.00556178716942668,
0.041707843542099,
0.022128576412796974,
0.009070789441466331,
0.0010791942477226257,
0.031154900789260864,
-0.014332439750432968,
0.04396072030067444,
-0.022187862545251846,
0.022662151604890823,
-0.015429235063493252,
-0.009923028759658337,
-0.015414413064718246,
-0.00887810904532671,
0.03592744097113609,
0.02824987657368183,
0.002319572726264596,
0.0025659811217337847,
0.014799319207668304,
-0.03234062343835831,
-0.02116517536342144,
0.025226280093193054,
-0.017029961571097374,
0.07387061417102814,
-0.011256968602538109,
-0.048110757023096085,
-0.008529802784323692,
-0.045561447739601135,
0.00816667452454567,
0.030265606939792633,
-0.036816734820604324,
-0.023506980389356613,
-0.034889932721853256,
0.001783217885531485,
-0.004616913385689259,
0.01270947977900505,
0.05383187532424927,
0.02083910070359707,
0.05098613724112511,
-0.03889175131917,
0.031480975449085236,
0.050630420446395874,
-0.02226196974515915,
-0.013635827228426933,
0.0017063310369849205,
0.00872989371418953,
0.01889747753739357,
0.0010115709155797958,
-0.013798864558339119,
-0.02741987071931362,
-0.015592272393405437,
-0.06396981328725815,
0.015903525054454803,
-0.03242955356836319,
-0.02424805797636509,
0.040255334228277206,
0.009500614367425442,
-0.0231364406645298,
-0.010123119689524174,
0.03189598023891449,
0.00459097558632493,
0.005609957035630941,
0.016570493578910828,
-0.007848011329770088,
-0.003685008268803358,
0.03779495507478714,
-0.03770602494478226,
0.02620450221002102,
0.055699389427900314,
-0.0007489515119232237,
0.03518636152148247,
0.005602546501904726,
0.014354672282934189,
0.01084196474403143,
0.007292203139513731,
-0.06859414279460907,
-0.03192562237381935,
0.005765583366155624,
-0.03577922657132149,
-0.014614049345254898,
0.017978541553020477,
-0.014021187089383602,
0.009100432507693768,
-0.024040555581450462,
0.02515217289328575,
-0.02928738482296467,
-0.0034441580064594746,
0.012857696041464806,
-0.02845737896859646,
0.04828861355781555,
-0.05051184818148613,
0.006247283890843391,
-0.027834873646497726,
-0.021224461495876312,
-0.02876863069832325,
-0.010412139818072319,
-0.02710861712694168,
-0.0395735427737236,
0.014339851215481758,
-0.021935895085334778,
0.009093021973967552,
-0.009604365564882755,
-0.04396072030067444,
0.050926849246025085,
-0.021832145750522614,
-0.05863405764102936,
-0.033704206347465515,
-0.020513027906417847,
0.02003873698413372,
0.004101864527910948,
0.018971584737300873,
0.032548125833272934,
0.01920873112976551,
-0.003462685039266944,
0.011464470066130161,
0.009515436366200447,
0.04760682210326195,
0.00457985932007432,
0.010049011558294296,
0.029820961877703667,
0.027775587514042854,
-0.02845737896859646,
0.00790729746222496,
0.03474171459674835,
-0.00768497446551919,
0.011494113132357597,
-0.019653376191854477,
-0.016274062916636467,
-0.02307715453207493,
-0.0788506492972374,
0.013509844429790974,
-0.009248647838830948,
-0.02740504778921604,
-0.05240900442004204,
-0.06337695568799973,
0.009018913842737675,
0.03139204531908035,
-0.008114798925817013,
-0.036579590290784836,
-0.040818553417921066,
-0.005806342698633671,
0.015740487724542618,
-0.017430143430829048,
0.010797499679028988,
-0.045857880264520645,
-0.0217283945530653,
-0.012079563923180103,
0.04630252718925476,
-0.05958263576030731,
-0.023862697184085846,
-0.004980041179805994,
0.0017554274527356029,
0.01114580687135458,
0.0034478632733225822,
0.002443703357130289,
-0.03322991728782654,
-0.012220368720591068,
0.016259241849184036,
-0.006992066744714975,
-0.011064288206398487,
0.007766492664813995,
0.04200427606701851,
0.015696022659540176,
-0.015888702124357224,
0.018008185550570488,
-0.024188771843910217,
-0.04093712568283081,
-0.014873426407575607,
0.058841560035943985,
-0.007722028065472841,
-0.012353762984275818,
0.06070907413959503,
0.02421841397881508,
0.05445437878370285,
-0.009752580896019936,
-0.030384181067347527,
-0.04007747396826744,
0.002339952392503619,
-0.05706297233700752,
-0.013309753499925137,
0.03758745267987251,
0.02063160017132759,
-0.02034999057650566,
-0.007944351062178612,
-0.039929259568452835,
-0.02734576165676117,
-0.0033015005756169558,
0.03583851084113121,
0.036549944430589676,
0.026426825672388077,
-0.056262608617544174,
0.015325483866035938,
0.004368652123957872,
0.008929984644055367,
0.014576995745301247,
0.003144021611660719,
-0.035423506051301956,
0.009404274635016918,
-0.00028948343242518604,
-0.07363346964120865,
-0.01974230632185936,
0.022899296134710312,
0.010901250876486301,
0.011671971529722214,
0.03717245161533356,
-0.0031199364457279444,
-0.019594090059399605,
0.00830006878823042,
0.03898068144917488,
0.037943169474601746,
-0.0098933856934309,
0.04941505193710327,
0.008396408520638943,
0.0012913276441395283,
0.008937395177781582,
0.01999427191913128,
-0.052912939339876175,
0.00788506492972374,
0.03308170288801193,
-0.02767183631658554,
-0.039099253714084625,
0.03533457964658737,
0.01581459492444992,
-0.0480218268930912,
-0.02484091930091381,
0.004716958850622177,
-0.017563538625836372,
0.055729031562805176,
-0.01184982992708683,
-0.01000454742461443,
0.014569585211575031,
-0.02369965985417366,
0.00984892062842846,
0.011590452864766121,
0.012783587910234928,
-0.005194953642785549,
-0.011049466207623482,
0.01722264289855957,
-0.0185714028775692,
-0.02057231403887272,
0.07956209033727646,
-0.003038418013602495,
0.006369561888277531,
-0.03414885327219963,
-0.041618917137384415,
0.008292658254504204,
-0.004531689453870058,
0.06456267833709717,
-0.049770768731832504,
-0.004005524329841137,
0.029228098690509796,
0.04298250004649162,
-0.010515891015529633,
-0.01551816426217556,
0.0014099000254645944,
0.10066797584295273,
-0.018778905272483826,
-0.0552547425031662,
-0.022084111347794533,
0.049207549542188644,
-0.016555672511458397,
0.01582941599190235,
-0.010263924486935139,
-0.05045256018638611,
0.01511057186871767,
0.027301296591758728,
-0.007147693075239658,
0.00918195117264986,
-0.02962828055024147,
-0.023032691329717636,
-0.01396931242197752,
-0.056292250752449036,
0.0038461924996227026,
0.0024103547912091017,
0.045591093599796295,
-0.03901032358407974,
-0.01726710796356201,
-0.003546056104823947,
0.028650058433413506,
0.016792817041277885,
0.030591681599617004,
-0.03210347890853882,
0.021224461495876312,
-0.025522710755467415,
-0.022365720942616463,
-0.0168965682387352,
-0.05721118673682213,
-0.03103632852435112,
0.0014738179743289948,
-0.03305206075310707,
0.01045660488307476,
-0.03829888999462128,
0.05134185403585434,
0.010567765682935715,
0.04449429735541344,
0.0003749389434233308,
-0.018823370337486267,
-0.038802821189165115,
0.02029070444405079,
0.0006808650214225054,
0.03405992314219475,
0.035423506051301956,
0.01579977385699749,
0.0028642648831009865,
-0.003471948439255357,
-0.05919727683067322,
0.061064790934324265,
0.01112357433885336,
0.05552153289318085,
-0.00806292425841093,
-0.02033516764640808,
-0.060501571744680405,
0.03732066601514816,
-0.06764555722475052,
-0.02986542508006096,
-0.010834554210305214,
0.03524564951658249,
0.0355420783162117,
-0.03672780469059944,
-0.042745355516672134,
0.0015886849723756313,
0.035986725240945816,
0.02281036786735058,
-0.03076953999698162,
-0.003583109937608242,
-0.010471425950527191,
0.005702591966837645,
-0.014769676141440868,
-0.0035923735704272985,
-0.011916527524590492,
-0.037913527339696884,
0.00887810904532671,
-0.0016813196707516909,
0.021002138033509254,
0.02174321562051773,
-0.016837282106280327,
0.008440873585641384,
-0.0002945783198811114,
0.033733852207660675,
-0.028620416298508644,
0.005054148845374584,
0.008218550123274326,
0.034889932721853256,
0.013502432964742184,
-0.034474927932024,
-0.08412712812423706,
0.012642783112823963,
-0.05620332434773445,
-0.04069998115301132,
0.06254694610834122,
-0.01584423892199993,
-0.0021435669623315334,
0.01127178966999054,
-0.08329711854457855,
-0.011716436594724655,
0.023225370794534683,
-0.00890034157782793,
0.06059050187468529,
0.02482609823346138,
-0.04900004714727402,
0.024915028363466263,
-0.014139760285615921,
-0.04256749525666237,
-0.012924392707645893,
0.011968403123319149,
-0.03521600738167763,
-0.04476108402013779,
-0.04298250004649162,
0.03216276690363884,
0.01044919341802597,
-0.023462515324354172,
-0.036549944430589676,
-0.0007318140706047416,
0.04834790155291557,
-0.03225169703364372,
0.005450625438243151,
-0.02000909484922886,
-0.02847220003604889,
-0.01747460849583149,
-0.03019149973988533,
0.027582906186580658,
0.038773179054260254,
0.02116517536342144,
0.039069607853889465,
0.0042426688596606255,
-0.03865460678935051,
0.03749852627515793,
0.012464924715459347,
0.020083202049136162,
-0.02285483293235302,
0.011182860471308231,
0.018274972215294838,
0.02369965985417366,
-0.06011621281504631,
0.029509708285331726,
0.05555117502808571,
-0.0023510686587542295,
0.010938304476439953,
-0.009337577037513256,
-0.042508210986852646,
-0.0012005456956103444,
-0.011694204062223434,
-0.014710390008985996,
-0.006243578623980284,
0.004991157446056604,
-0.023091977462172508,
0.02620450221002102,
-0.029391136020421982,
-0.061361223459243774,
0.012383406050503254,
-0.02853148616850376,
0.03776531293988228,
-0.006580768618732691,
-0.010352853685617447,
-0.03435635566711426,
0.02171357348561287,
0.05750761926174164,
0.0019045693334192038,
-0.037943169474601746,
-0.02538931742310524,
0.00029643101152032614,
0.016199955716729164,
-0.03076953999698162,
-0.0008388071437366307,
0.03275562822818756,
0.013154126703739166,
0.022988226264715195,
-0.015117982402443886,
0.014110117219388485,
0.03643137216567993,
0.01726710796356201,
0.005554376170039177,
0.04778468236327171,
-0.02174321562051773,
0.045798592269420624,
-0.020261060446500778,
-0.09189362078905106,
0.01114580687135458,
0.013502432964742184,
0.008381587453186512,
0.013206002302467823,
0.016170311719179153,
-0.03939568251371384,
-0.006510366220027208,
-0.04404965043067932,
0.03494921699166298,
-0.035719938576221466,
0.007451534736901522,
0.016822461038827896,
-0.04736967757344246,
0.004042577929794788,
0.041352126747369766,
-0.006310275290161371,
0.009596954099833965,
0.03699459135532379,
0.046421099454164505,
0.02538931742310524,
0.049237191677093506,
0.010204638354480267,
0.004539099987596273,
-0.020527848973870277,
-0.004594680853188038,
-0.015132803469896317,
0.0011903558624908328,
-0.0025381906889379025,
0.012250011786818504,
0.0418560616672039,
0.030858470126986504,
-0.01805264875292778,
-0.022128576412796974,
-0.010419550351798534,
-0.015740487724542618,
-0.014962355606257915,
0.04532430320978165,
0.034030281007289886,
-0.028635237365961075,
0.0208539217710495,
-0.0231364406645298,
0.06645983457565308,
0.016303706914186478,
-0.030532395467162132,
0.02029070444405079,
-0.047517891973257065,
-0.0406406931579113,
-0.003998113330453634,
-0.005265356041491032,
-0.03613494336605072,
-0.013576541095972061,
-0.028679702430963516,
-0.0032588886097073555,
-0.0007068027043715119,
-0.037943169474601746,
-0.014495477080345154,
-0.018467653542757034,
0.005821164231747389,
0.03248884156346321,
0.02147642709314823,
0.013020732440054417,
-0.062250517308712006,
-0.03385242447257042,
-0.027464333921670914,
0.07392989844083786,
-0.01722264289855957,
0.038536034524440765,
0.04316035658121109,
0.024929849430918694,
-0.05021541565656662,
-0.012539032846689224,
0.0017572802025824785,
-0.03580886870622635,
0.03752816841006279,
0.009619186632335186,
-0.02282518893480301,
-0.00003853024463751353,
-0.04084819555282593,
0.024603774771094322,
0.03263705596327782,
0.010486247949302197,
0.018778905272483826,
-0.017948899418115616,
-0.016526030376553535,
-0.012450102716684341,
-0.004902228247374296,
-0.024707525968551636,
0.013243055902421474,
0.017104070633649826,
-0.0003747073351405561,
0.038209959864616394,
-0.06889057159423828,
0.2599107325077057,
0.037409596145153046,
0.033140987157821655,
0.024677883833646774,
0.020809458568692207,
0.03939568251371384,
0.032607413828372955,
-0.04689538851380348,
-0.0034608321730047464,
-0.0046020918525755405,
-0.003027301747351885,
-0.06008657068014145,
-0.012049920856952667,
0.009070789441466331,
0.046124666929244995,
0.0474882498383522,
-0.006169470958411694,
-0.019816413521766663,
0.04235999286174774,
0.001635002321563661,
-0.08157781511545181,
-0.00013235182268545032,
-0.01778586208820343,
-0.00698465621098876,
0.017622824758291245,
0.0301766786724329,
-0.00007040236960165203,
-0.0005405234405770898,
-0.009945261292159557,
-0.024425916373729706,
-0.027849694713950157,
-0.00536540150642395,
0.003516413038596511,
0.0034293364733457565,
-0.021876608952879906,
0.005854512564837933,
-0.024915028363466263,
-0.014050831086933613,
-0.016437100246548653,
-0.0048948172479867935,
-0.003864719532430172,
0.001515503623522818,
-0.012924392707645893,
-0.007043942343443632,
0.02928738482296467,
0.04366429150104523,
0.014784497208893299,
-0.008366765454411507,
0.011071698740124702,
-0.047280747443437576,
0.06942414492368698,
-0.009952671825885773,
-0.005091202910989523,
0.02003873698413372,
-0.05955299362540245,
0.022988226264715195,
0.028902025893330574,
0.013858150690793991,
0.0036164585035294294,
0.014962355606257915,
0.03076953999698162,
-0.002756808651611209,
-0.038239601999521255,
0.004253785125911236,
-0.025774678215384483,
0.05338722839951515,
-0.017963720485568047,
0.015621915459632874,
-0.02116517536342144,
0.030384181067347527,
-0.02592289261519909,
-0.008670607581734657,
-0.03723173588514328,
0.00933016650378704,
0.017059605568647385,
-0.0013700671261176467,
-0.04067033529281616,
0.02906506136059761,
-0.037409596145153046,
-0.03592744097113609,
0.006187997758388519,
-0.0006725278799422085,
-0.025285566225647926,
-0.023655196651816368,
0.041055697947740555,
0.08228925615549088,
0.011264379136264324,
-0.04760682210326195,
-0.00010861417831620201,
-0.00013524664973374456,
0.0029550467152148485,
0.019075335934758186,
-0.045265018939971924,
-0.040729623287916183,
0.0036312800366431475
] |
1210_3 | In 1983, the CIPM modified the International System of Units (SI) to make the metre defined as the distance travelled in a vacuum by light in 1 / second. This replaced the previous definition, valid between 1960 and 1983, which was that the metre equalled a certain number of wavelengths of a certain emission line of krypton-86. (The reason for the change was an improved method of measuring the speed of light.) The speed of light could then be expressed exactly as c0 = , a standard also adopted by the IERS numerical standards. From this definition and the 2009 IAU standard, the time for light to traverse an astronomical unit is found to be τA = , which is slightly more than 8 minutes 19 seconds. By multiplication, the best IAU 2009 estimate was A = c0τA = , based on a comparison of Jet Propulsion Laboratory and IAA–RAS ephemerides.
In 2006, the BIPM reported a value of the astronomical unit as . In the 2014 revision of the SI Brochure, the BIPM recognised the IAU's 2012 redefinition of the astronomical unit as .
This estimate was still derived from observation and measurements subject to error, and based on techniques that did not yet standardize all relativistic effects, and thus were not constant for all observers. In 2012, finding that the equalization of relativity alone would make the definition overly complex, the IAU simply used the 2009 estimate to redefine the astronomical unit as a conventional unit of length directly tied to the metre (exactly ). The new definition also recognizes as a consequence that the astronomical unit is now to play a role of reduced importance, limited in its use to that of a convenience in some applications.
{|
|-
|rowspan=7 valign=top|1 astronomical unit
|= metres (by definition)
|-
|= (exactly)
|-
|≈
|-
|≈ light-seconds
|-
|≈ light-minutes
|-
|≈
|-
|≈
|}
This definition makes the speed of light, defined as exactly , equal to exactly × ÷ or about au/d, some 60 parts per trillion less than the 2009 estimate. | [
-0.012195314280688763,
0.021710339933633804,
0.022812236100435257,
-0.033712077885866165,
-0.03365251421928406,
0.034069448709487915,
-0.032550618052482605,
-0.03261018171906471,
-0.005394081585109234,
0.06915145367383957,
0.011279549449682236,
-0.008770501241087914,
-0.03021281212568283,
-0.06075321510434151,
-0.04458213970065117,
0.005077658221125603,
-0.0050218189135193825,
0.010788163170218468,
-0.0614083968102932,
0.02824726700782776,
0.02520960569381714,
-0.019193846732378006,
-0.066471166908741,
-0.014466114342212677,
-0.008226998150348663,
0.061825331300497055,
0.07891961932182312,
-0.00245693139731884,
0.03585631027817726,
0.06379087269306183,
0.01398217398673296,
-0.05298037827014923,
0.04205075278878212,
-0.057983580976724625,
-0.024152381345629692,
0.0032740472815930843,
0.04827497899532318,
-0.025179825723171234,
0.032401714473962784,
-0.020638223737478256,
0.046994399279356,
-0.019908590242266655,
0.02464376762509346,
0.002507186960428953,
-0.023571651428937912,
-0.029721425846219063,
0.0022037930320948362,
-0.015366989187896252,
-0.008197217248380184,
-0.04532666131854057,
0.0006528550875373185,
-0.011071082204580307,
0.020861580967903137,
-0.01340888999402523,
0.023020703345537186,
0.02276756428182125,
-0.02160610631108284,
-0.016200857236981392,
-0.05768577381968498,
0.03141894191503525,
0.005971088074147701,
0.00805575679987669,
-0.0012349803000688553,
-0.053724899888038635,
0.007560648024082184,
0.04648812115192413,
0.016930490732192993,
-0.01596261002123356,
-0.0014062209520488977,
-0.02638595551252365,
0.01145823486149311,
0.013200422748923302,
0.0067640068009495735,
-0.004325688350945711,
-0.053307969123125076,
0.030302153900265694,
0.012917503714561462,
0.020221291109919548,
-0.03433747962117195,
0.019104503095149994,
-0.007631378248333931,
0.020399976521730423,
-0.010996629483997822,
-0.02486712485551834,
0.0332653634250164,
-0.0256563201546669,
-0.010631812736392021,
-0.02486712485551834,
0.03287820890545845,
-0.013892830349504948,
0.005222840700298548,
0.04544578865170479,
0.004470870830118656,
-0.025194715708494186,
0.027651647105813026,
-0.017228301614522934,
-0.03237193450331688,
-0.008792836219072342,
0.04872169718146324,
0.02217194437980652,
0.022216616198420525,
0.03127003833651543,
-0.004876636900007725,
0.03782185539603233,
-0.04056170582771301,
0.0758223906159401,
-0.03439703956246376,
0.03895353153347969,
-0.03749426454305649,
-0.032342150807380676,
0.06295701116323471,
-0.00664488272741437,
-0.015203193761408329,
-0.032044343650341034,
0.016156185418367386,
0.04595206305384636,
-0.04401629790663719,
0.04485016688704491,
0.009157653898000717,
0.00724422512575984,
0.0202361810952425,
0.0005788679700344801,
0.03871528431773186,
0.03600521385669708,
-0.015225529670715332,
-0.029453396797180176,
0.0013820239109918475,
0.0144586693495512,
-0.03671995922923088,
-0.03085310384631157,
-0.006901743821799755,
-0.018523775041103363,
-0.035886090248823166,
0.008502472192049026,
0.05831117182970047,
0.02211238257586956,
0.035439375787973404,
0.038625940680503845,
0.019044941291213036,
-0.0585494227707386,
-0.022633550688624382,
-0.0010376812424510717,
-0.04925775155425072,
0.06778153032064438,
-0.02427150495350361,
0.04327177628874779,
-0.013245094567537308,
0.03478419408202171,
-0.029944783076643944,
0.0009236759506165981,
0.005040432326495647,
-0.027651647105813026,
-0.014868157915771008,
0.012359109707176685,
-0.03987674042582512,
0.007631378248333931,
-0.045416004955768585,
-0.010884950868785381,
-0.01051268819719553,
-0.025700991973280907,
-0.0092097707092762,
0.019685233011841774,
0.04654768481850624,
0.026653984561562538,
-0.019312970340251923,
0.008792836219072342,
-0.06349306553602219,
-0.06885364651679993,
0.023214280605316162,
-0.001089798053726554,
-0.0026170043274760246,
-0.03817922621965408,
0.00791429728269577,
0.012522905133664608,
0.06909189373254776,
0.07856224477291107,
0.010453126393258572,
-0.023169608786702156,
-0.02276756428182125,
-0.0037263459526002407,
-0.026653984561562538,
-0.022067712619900703,
0.02449486218392849,
0.037613388150930405,
-0.012344219721853733,
-0.01000641193240881,
0.012820715084671974,
-0.0004918516497127712,
0.011219986714422703,
-0.042586810886859894,
0.0017096147639676929,
0.021844353526830673,
-0.042646374553442,
0.025135153904557228,
-0.03127003833651543,
-0.030823322013020515,
-0.004195396788418293,
0.017094286158680916,
0.004750067368149757,
-0.01355034951120615,
0.04756023734807968,
0.015277646481990814,
-0.01748143881559372,
0.05643497034907341,
-0.031478505581617355,
-0.017615454271435738,
0.05720927566289902,
0.06176576763391495,
0.020548881962895393,
0.015277646481990814,
0.01900026947259903,
-0.010959403589367867,
-0.005252621602267027,
0.03302711620926857,
0.024152381345629692,
-0.007988750003278255,
-0.023616323247551918,
0.06170620769262314,
-0.032491058111190796,
0.008048311807215214,
0.0029278432484716177,
0.012493124231696129,
0.029006682336330414,
0.01340144407004118,
0.031180694699287415,
-0.0030860549304634333,
-0.009783054701983929,
0.05470767244696617,
0.023139826953411102,
0.019268298521637917,
-0.0527421273291111,
0.02867909148335457,
0.0019115671748295426,
-0.03895353153347969,
0.009812835603952408,
-0.004240068141371012,
0.0010153455659747124,
0.04434388875961304,
-0.0184195414185524,
-0.017734577879309654,
0.029230039566755295,
0.0038454700261354446,
0.0578346773982048,
0.0021907638292759657,
-0.013572685420513153,
0.03576696664094925,
0.028217485174536705,
-0.022812236100435257,
-0.012441007420420647,
0.08791347593069077,
-0.0412168875336647,
-0.0029855440370738506,
0.06265919655561447,
-0.030942445620894432,
-0.04619031026959419,
-0.015076625160872936,
0.03535003215074539,
0.023735446855425835,
-0.032491058111190796,
-0.08320807665586472,
0.008770501241087914,
0.015530784614384174,
0.02370566688477993,
-0.035290468484163284,
0.0017840672517195344,
0.030331935733556747,
-0.019149174913764,
-0.0031456167344003916,
0.046071186661720276,
-0.0032107627484947443,
-0.04717308282852173,
-0.0012414949014782906,
-0.06024693697690964,
-0.015947718173265457,
-0.025760553777217865,
-0.016007279977202415,
-0.04362914711236954,
-0.00766115915030241,
0.0751076489686966,
0.019253408536314964,
-0.023005813360214233,
0.005420139525085688,
-0.05116373673081398,
0.021650778129696846,
-0.041961412876844406,
0.04979380965232849,
-0.023452527821063995,
0.029081134125590324,
-0.024837343022227287,
0.03451616317033768,
-0.005103716626763344,
-0.02751763164997101,
0.01297706551849842,
-0.016007279977202415,
0.0076239327900111675,
0.01532231830060482,
0.021442310884594917,
0.05041921138763428,
0.005453643389046192,
-0.050270307809114456,
0.0024699606001377106,
-0.006276343017816544,
-0.04359936714172363,
-0.020429756492376328,
0.006752838846296072,
0.015664799138903618,
-0.03874506428837776,
-0.004642111249268055,
0.023795008659362793,
-0.011033856309950352,
-0.023080265149474144,
0.014510786160826683,
-0.0006449444917961955,
0.04246768727898598,
-0.0476793609559536,
0.006745393853634596,
0.02644551731646061,
-0.02080201916396618,
0.01684114895761013,
-0.028589747846126556,
-0.04094885662198067,
-0.015009617432951927,
0.010095754638314247,
-0.003744959132745862,
0.005315906368196011,
0.03817922621965408,
0.0281877052038908,
-0.018047278746962547,
0.012880276888608932,
-0.019625671207904816,
-0.01900026947259903,
-0.022350631654262543,
-0.01894070766866207,
0.00019706637249328196,
0.014875602908432484,
-0.022157054394483566,
0.005993423517793417,
-0.006309846881777048,
0.021144501864910126,
0.0032089015003293753,
0.04636899754405022,
-0.04437367245554924,
-0.03719645366072655,
0.017585672438144684,
-0.037256013602018356,
0.03597543388605118,
0.034635286778211594,
-0.01928318850696087,
-0.013602466322481632,
-0.0025313838850706816,
-0.023869462311267853,
-0.001060017035342753,
0.011450789868831635,
0.016305090859532356,
0.0015095238341018558,
0.03159762918949127,
-0.011800716631114483,
-0.02695179358124733,
-0.05065745860338211,
-0.03677951917052269,
0.037672948092222214,
-0.026653984561562538,
0.02535851113498211,
-0.034218356013298035,
-0.013155750930309296,
0.025626540184020996,
0.00399065250530839,
0.01618596725165844,
0.0004792877589352429,
-0.03773251175880432,
0.020906252786517143,
-0.010609476827085018,
-0.01275370828807354,
-0.0011921701952815056,
-0.0022596323397010565,
0.051342424005270004,
0.05941307172179222,
0.06676897406578064,
0.015664799138903618,
-0.02363121323287487,
0.018374869599938393,
-0.017972825095057487,
-0.01282816007733345,
-0.025700991973280907,
-0.00521911820396781,
-0.01706450618803501,
-0.043390899896621704,
-0.00017542863497510552,
0.006581598427146673,
-0.08350589126348495,
-0.025388291105628014,
-0.03481397405266762,
-0.006209335755556822,
-0.025894569233059883,
-0.023110046982765198,
0.013103634119033813,
0.05470767244696617,
0.014510786160826683,
0.019312970340251923,
-0.005498314741998911,
0.03365251421928406,
0.012582466937601566,
0.011555023491382599,
0.019566109403967857,
0.0018734101904556155,
0.02890244871377945,
-0.016364652663469315,
0.05390358716249466,
-0.01928318850696087,
0.030331935733556747,
-0.018747132271528244,
-0.021725229918956757,
0.00404649181291461,
-0.0187918022274971,
0.03701776638627052,
0.019625671207904816,
0.010125535540282726,
-0.03677951917052269,
0.013766261748969555,
-0.010609476827085018,
-0.02342274598777294,
0.018553555011749268,
-0.010036192834377289,
0.05161045119166374,
-0.02066800557076931,
-0.05137220397591591,
0.010155316442251205,
-0.055750008672475815,
0.016707133501768112,
0.030242592096328735,
-0.011502906680107117,
-0.009619259275496006,
-0.032133687287569046,
0.003277770010754466,
-0.005088826175779104,
0.023571651428937912,
0.032133687287569046,
0.010430790483951569,
0.01877691224217415,
-0.0397576168179512,
0.012187869288027287,
0.04428432881832123,
-0.024479972198605537,
-0.004120944067835808,
0.003588608931750059,
0.023080265149474144,
0.017585672438144684,
0.007560648024082184,
-0.02392902411520481,
-0.00975327380001545,
-0.008859843946993351,
-0.05682212486863136,
0.04532666131854057,
-0.03934068605303764,
-0.022633550688624382,
0.032401714473962784,
0.005375468172132969,
0.0026244495529681444,
-0.02095092460513115,
0.027204932644963264,
-0.017079396173357964,
0.002609559101983905,
0.00464583421126008,
0.004016710910946131,
-0.01275370828807354,
0.01971501298248768,
-0.019402313977479935,
0.031984779983758926,
0.06527992337942123,
-0.014175750315189362,
0.032401714473962784,
0.012232540175318718,
-0.017541002482175827,
0.008517362177371979,
0.02897690050303936,
-0.06099146232008934,
-0.031240256503224373,
0.0030134636908769608,
-0.04380783438682556,
-0.03722623363137245,
0.012776043266057968,
-0.020176619291305542,
0.007020867895334959,
-0.006581598427146673,
0.030882883816957474,
-0.0025630262680351734,
0.018821584060788155,
0.020191509276628494,
-0.01052013412117958,
0.01740698702633381,
-0.01655822992324829,
0.02651996910572052,
-0.0027566025964915752,
-0.015709470957517624,
-0.01648377627134323,
-0.018970489501953125,
-0.02985543943941593,
-0.03642214834690094,
0.01420553121715784,
-0.033712077885866165,
-0.015560565516352654,
-0.0072777289897203445,
-0.026787998154759407,
0.04431410878896713,
-0.01391516625881195,
-0.061170149594545364,
-0.02695179358124733,
0.0016072426224127412,
0.02912580594420433,
-0.008070647716522217,
0.02479267120361328,
0.034933097660541534,
0.02646040730178356,
0.0006337766535580158,
0.01958099938929081,
-0.009187434799969196,
0.04133601114153862,
0.004977147560566664,
0.036154117435216904,
0.030733978375792503,
0.015501003712415695,
-0.040859512984752655,
0.0008306103409267962,
0.025388291105628014,
0.0016602900577709079,
0.021516762673854828,
-0.045713815838098526,
-0.029810767620801926,
-0.025700991973280907,
-0.07993216812610626,
0.026400845497846603,
-0.016930490732192993,
-0.003378280671313405,
-0.0375836044549942,
-0.058936573565006256,
-0.0022484646178781986,
0.01929808035492897,
0.004388973116874695,
-0.04499907046556473,
-0.027041137218475342,
-0.02147209271788597,
0.025671212002635002,
-0.02370566688477993,
-0.0040427688509225845,
-0.041961412876844406,
-0.014324654825031757,
-0.014935165643692017,
0.04803673177957535,
-0.07760925590991974,
-0.00492875324562192,
0.019178956747055054,
-0.002147953724488616,
-0.004720286466181278,
0.00711765605956316,
0.0034601783845573664,
-0.02486712485551834,
0.013706699013710022,
0.04684549197554588,
-0.001424834132194519,
-0.0067863427102565765,
0.011078527197241783,
0.04392695799469948,
-0.0031958722975105047,
-0.019104503095149994,
0.01214319746941328,
-0.03424813598394394,
-0.05175935477018356,
0.0035383536014705896,
0.06516080349683762,
-0.0007598805241286755,
-0.008070647716522217,
0.04675615206360817,
0.004463425371795893,
0.047441113740205765,
-0.011264658533036709,
-0.03049573116004467,
-0.04142535477876663,
-0.017689906060695648,
-0.039191778749227524,
0.001579322968609631,
0.029498068615794182,
0.012388890609145164,
-0.02738361805677414,
0.019551217555999756,
-0.04824519902467728,
-0.044254548847675323,
0.000027541596864466555,
0.03621368110179901,
0.03344405069947243,
0.05038943141698837,
-0.04133601114153862,
0.03454594686627388,
0.004068827256560326,
0.0245693139731884,
0.028023909777402878,
0.001426695380359888,
-0.03027237392961979,
-0.0044113085605204105,
-0.011674147099256516,
-0.06093189865350723,
-0.030034126713871956,
0.013557794503867626,
-0.004321965854614973,
0.0012861663708463311,
0.026073254644870758,
-0.023720556870102882,
-0.034218356013298035,
0.00863648671656847,
0.03585631027817726,
0.023973694071173668,
-0.019744794815778732,
0.03880462795495987,
-0.02117428183555603,
-0.008718384429812431,
0.014585238881409168,
0.014615019783377647,
-0.056613657623529434,
-0.0021423697471618652,
0.053933367133140564,
-0.02363121323287487,
-0.022425083443522453,
0.05035965144634247,
0.021844353526830673,
-0.06003846973180771,
-0.030912665650248528,
-0.013922611251473427,
-0.012366554699838161,
0.05086592584848404,
-0.012880276888608932,
-0.005985978525131941,
0.018077058717608452,
-0.02760697528719902,
-0.042884621769189835,
0.0009660208015702665,
0.04041279852390289,
0.010334002785384655,
-0.014935165643692017,
0.030093688517808914,
-0.007158604916185141,
-0.018747132271528244,
0.06986619532108307,
-0.023973694071173668,
0.013103634119033813,
-0.018225964158773422,
-0.027770770713686943,
0.015054289251565933,
0.01858333684504032,
0.07546502351760864,
-0.010199988260865211,
-0.00037645030533894897,
0.0628378838300705,
0.02732405625283718,
-0.0003406200557947159,
-0.013468451797962189,
-0.020980706438422203,
0.09923025220632553,
-0.002015800680965185,
-0.05902591720223427,
-0.028634419664740562,
0.04380783438682556,
0.002140508498996496,
0.011882614344358444,
-0.008100428618490696,
-0.04270593449473381,
0.028530186042189598,
0.011689038015902042,
0.0028701426927000284,
-0.010043637827038765,
-0.03737514093518257,
-0.053724899888038635,
-0.006425247993320227,
-0.03514156490564346,
-0.009366120211780071,
0.013468451797962189,
0.04940665885806084,
-0.03728579729795456,
-0.004958534613251686,
-0.0016602900577709079,
0.015501003712415695,
0.02246975526213646,
0.01719851978123188,
-0.033205799758434296,
0.027979237958788872,
-0.005427584983408451,
-0.01699005253612995,
-0.02462887577712536,
-0.06551817059516907,
-0.0339801050722599,
0.01978946663439274,
-0.025760553777217865,
0.014845822006464005,
-0.013044072315096855,
0.026266830042004585,
-0.0031363102607429028,
0.024882014840841293,
-0.0033540837466716766,
0.006879407912492752,
-0.01704961620271206,
0.06200401484966278,
0.004474593326449394,
0.04735177010297775,
0.033563174307346344,
0.031538065522909164,
-0.007341013289988041,
-0.0051670013926923275,
-0.04228900372982025,
0.04851322993636131,
0.000659835000988096,
0.05735818296670914,
-0.014957500621676445,
-0.0318060964345932,
-0.06414824724197388,
0.01922362670302391,
-0.0498831532895565,
-0.0289173386991024,
-0.002762186573818326,
0.013393999077379704,
0.03258040174841881,
-0.008018530905246735,
-0.05643497034907341,
0.0008752818102948368,
0.022097492590546608,
0.023943914100527763,
-0.013840713538229465,
-0.016960272565484047,
-0.021129610016942024,
-0.0038491925224661827,
-0.019149174913764,
0.0037375139072537422,
-0.0015234836610034108,
-0.041514694690704346,
0.0024103985633701086,
0.008375902660191059,
0.00608648918569088,
0.015635019168257713,
-0.02970653586089611,
-0.006097657140344381,
-0.013639692217111588,
0.019208736717700958,
-0.022425083443522453,
0.01582859456539154,
0.05262300372123718,
0.027651647105813026,
0.017526110634207726,
-0.028455734252929688,
-0.08058734983205795,
0.008562033995985985,
-0.05652431398630142,
-0.05092548951506615,
0.028857776895165443,
-0.02355676144361496,
0.00012854684609919786,
0.02747296169400215,
-0.0614083968102932,
0.002892478369176388,
0.009768163785338402,
-0.013431224972009659,
0.06450562179088593,
-0.004764957819133997,
-0.029081134125590324,
0.02681777998805046,
-0.02333340421319008,
-0.027264494448900223,
0.011964512057602406,
0.00005924206197960302,
-0.027785660699009895,
-0.037404920905828476,
-0.030525512993335724,
0.022737784311175346,
0.010170207358896732,
-0.02291646972298622,
-0.035886090248823166,
-0.014868157915771008,
0.04142535477876663,
-0.02044464834034443,
0.004247513134032488,
-0.02997456304728985,
-0.014309764839708805,
0.009090646170079708,
-0.025328729301691055,
-0.0018389759352430701,
0.022514427080750465,
-0.007326122839003801,
0.032550618052482605,
-0.025611648336052895,
-0.038923751562833786,
0.06111058592796326,
0.02832171879708767,
0.002630033530294895,
-0.019402313977479935,
0.007322400342673063,
0.03931090235710144,
0.007143714465200901,
-0.04616053029894829,
0.008040866814553738,
0.0318060964345932,
-0.017943045124411583,
0.0043107978999614716,
-0.00041228055488318205,
-0.026981575414538383,
-0.005516928154975176,
-0.002791967475786805,
0.017079396173357964,
-0.01567968912422657,
0.011942176148295403,
-0.014577792957425117,
-0.00290923030115664,
-0.03764316812157631,
-0.037256013602018356,
0.0030525512993335724,
-0.019700122997164726,
0.03222302719950676,
0.015262756496667862,
-0.015709470957517624,
-0.034635286778211594,
0.023497199639678,
0.026043472811579704,
0.002518354682251811,
-0.03817922621965408,
-0.028277046978473663,
0.002088391687721014,
0.019149174913764,
-0.020831800997257233,
0.0014750895788893104,
0.05971087887883186,
0.0390428751707077,
0.014361881650984287,
0.001547680702060461,
0.016305090859532356,
0.024465080350637436,
0.02160610631108284,
0.02464376762509346,
0.027204932644963264,
-0.012612247839570045,
0.04208053648471832,
-0.013587575405836105,
-0.07891961932182312,
0.006168386898934841,
0.022425083443522453,
-0.021070048213005066,
0.004012987948954105,
0.007817509584128857,
-0.0271006990224123,
-0.0008417782373726368,
-0.05446942523121834,
0.04741133376955986,
-0.06891320645809174,
-0.002481128554791212,
0.026639092713594437,
-0.03713688999414444,
0.02537340112030506,
0.030585074797272682,
-0.01646888628602028,
-0.02327384240925312,
0.03925134241580963,
0.04362914711236954,
0.010721155442297459,
0.04970446974039078,
0.01721341162919998,
0.011152979917824268,
-0.04395673796534538,
-0.023154716938734055,
-0.004910140298306942,
0.0184195414185524,
0.02218683622777462,
-0.019164064899086952,
0.05015118420124054,
0.04666680842638016,
-0.023973694071173668,
-0.009336339309811592,
-0.012262322008609772,
-0.034873537719249725,
0.007285173982381821,
0.04461191967129707,
0.01285794097930193,
-0.006670941133052111,
0.004831965081393719,
-0.014101297594606876,
0.06766240298748016,
0.031240256503224373,
-0.04321221262216568,
-0.003927367739379406,
-0.045981843024492264,
-0.04851322993636131,
-0.0011958928080275655,
0.0017980270786210895,
-0.04690505564212799,
0.005263789556920528,
-0.029900111258029938,
-0.006067876238375902,
-0.027934566140174866,
-0.021159391850233078,
0.004571381490677595,
-0.016200857236981392,
0.006912911776453257,
0.01189005933701992,
0.018702460452914238,
-0.0066634961403906345,
-0.051491327583789825,
-0.03329514339566231,
-0.006510868202894926,
0.07248692214488983,
-0.04461191967129707,
0.03451616317033768,
0.0375538244843483,
0.03651149198412895,
-0.05280169099569321,
0.014644800685346127,
0.014749034307897091,
-0.02031063288450241,
0.021859245374798775,
0.01398217398673296,
-0.028723763301968575,
-0.012262322008609772,
0.0038491925224661827,
0.018747132271528244,
0.020280852913856506,
0.0007864041836000979,
0.02182946354150772,
-0.007099043112248182,
-0.024748001247644424,
-0.027428289875388145,
0.011562468484044075,
-0.006778897251933813,
0.04312286898493767,
0.021129610016942024,
0.015277646481990814,
0.02766653709113598,
-0.0686749592423439,
0.2615962028503418,
0.04523732140660286,
0.026415735483169556,
0.031031789258122444,
0.012537796050310135,
0.041157323867082596,
0.015664799138903618,
-0.08320807665586472,
0.0067863427102565765,
-0.01221020519733429,
0.019238518550992012,
-0.0773114413022995,
-0.0024159825406968594,
0.027592085301876068,
0.04538622498512268,
0.041067980229854584,
0.017883483320474625,
-0.037970758974552155,
0.057328399270772934,
-0.019461875781416893,
-0.06265919655561447,
0.008375902660191059,
-0.0397576168179512,
0.016066843643784523,
0.008763055317103863,
0.028277046978473663,
0.004887804388999939,
-0.014548012055456638,
0.011808161623775959,
-0.014279983937740326,
-0.032342150807380676,
-0.006696999538689852,
0.010356338694691658,
-0.014302318915724754,
-0.02436084859073162,
-0.0010144149418920279,
-0.011063637211918831,
0.008696048520505428,
-0.023512089625000954,
-0.017898373305797577,
0.021070048213005066,
0.02522449567914009,
0.026103034615516663,
-0.012366554699838161,
0.021427420899271965,
0.04511819779872894,
0.027487851679325104,
0.0046532792039215565,
0.010155316442251205,
-0.07856224477291107,
0.07123611867427826,
-0.00791429728269577,
-0.013066408224403858,
0.04211031645536423,
-0.07600107789039612,
0.014101297594606876,
0.01827063597738743,
-0.013967283070087433,
-0.0055132051929831505,
0.020221291109919548,
0.012932393699884415,
0.018196184188127518,
-0.040353238582611084,
-0.0077207209542393684,
-0.036243461072444916,
0.04949600249528885,
-0.0332653634250164,
0.019387422129511833,
-0.008428019471466541,
0.002674704883247614,
-0.014726698398590088,
-0.017794139683246613,
-0.017317643389105797,
0.005207950249314308,
0.036451928317546844,
0.018836474046111107,
-0.016781587153673172,
0.03916199877858162,
-0.03433747962117195,
-0.04395673796534538,
-0.018196184188127518,
-0.04082973301410675,
-0.047738924622535706,
-0.0013206006260588765,
0.038923751562833786,
0.07147437334060669,
-0.018732240423560143,
-0.04818563908338547,
-0.004467148333787918,
0.00348809827119112,
-0.0025034642312675714,
0.005077658221125603,
-0.015620128251612186,
-0.042378343641757965,
-0.004079995211213827
] |
1210_4 | Usage and significance
With the definitions used before 2012, the astronomical unit was dependent on the heliocentric gravitational constant, that is the product of the gravitational constant, G, and the solar mass, . Neither G nor can be measured to high accuracy separately, but the value of their product is known very precisely from observing the relative positions of planets (Kepler's Third Law expressed in terms of Newtonian gravitation). Only the product is required to calculate planetary positions for an ephemeris, so ephemerides are calculated in astronomical units and not in SI units.
The calculation of ephemerides also requires a consideration of the effects of general relativity. In particular, time intervals measured on Earth's surface (Terrestrial Time, TT) are not constant when compared with the motions of the planets: the terrestrial second (TT) appears to be longer near January and shorter near July when compared with the "planetary second" (conventionally measured in TDB). This is because the distance between Earth and the Sun is not fixed (it varies between and ) and, when Earth is closer to the Sun (perihelion), the Sun's gravitational field is stronger and Earth is moving faster along its orbital path. As the metre is defined in terms of the second and the speed of light is constant for all observers, the terrestrial metre appears to change in length compared with the "planetary metre" on a periodic basis.
The metre is defined to be a unit of proper length, but the SI definition does not specify the metric tensor to be used in determining it. Indeed, the International Committee for Weights and Measures (CIPM) notes that "its definition applies only within a spatial extent sufficiently small that the effects of the non-uniformity of the gravitational field can be ignored". As such, the metre is undefined for the purposes of measuring distances within the Solar System. The 1976 definition of the astronomical unit was incomplete because it did not specify the frame of reference in which time is to be measured, but proved practical for the calculation of ephemerides: a fuller definition that is consistent with general relativity was proposed, and "vigorous debate" ensued until August 2012 when the IAU adopted the current definition of 1 astronomical unit = metres. | [
0.011731238104403019,
0.029648955911397934,
0.02530832588672638,
-0.04262758418917656,
-0.06050925329327583,
0.03354254364967346,
0.005097717046737671,
-0.015040788799524307,
0.004254105966538191,
0.02004477195441723,
0.02272702194750309,
-0.005458234343677759,
-0.029562432318925858,
-0.05964400991797447,
-0.04182002693414688,
-0.005750253796577454,
-0.014117863960564137,
0.002164907520636916,
-0.05384688824415207,
0.020722543820738792,
0.044127337634563446,
0.0013339145807549357,
-0.057884685695171356,
-0.0399453341960907,
0.00271830172277987,
0.029648955911397934,
0.06904630362987518,
0.007336530368775129,
0.0559234693646431,
0.08456297963857651,
0.018689226359128952,
-0.016641486436128616,
0.014204388484358788,
-0.05684639513492584,
0.005743043497204781,
0.01194754894822836,
0.03192742541432381,
-0.03749381750822067,
0.06956545263528824,
-0.049289949238300323,
0.04124319925904274,
0.008854309096932411,
0.021140744909644127,
-0.015343623235821724,
0.006319871172308922,
-0.014925423078238964,
0.000025447463485761546,
-0.03608058765530586,
-0.00328972190618515,
-0.04629044234752655,
0.016973162069916725,
-0.00876778457313776,
0.01698758266866207,
-0.033311814069747925,
0.00014691086835227907,
-0.00858752615749836,
-0.018328707665205002,
-0.031091026961803436,
-0.05306817218661308,
0.04363703355193138,
-0.015545513480901718,
0.017002003267407417,
0.010505478829145432,
-0.07071910798549652,
0.0011743856593966484,
0.010375692509114742,
0.011565400287508965,
-0.0075059738010168076,
0.0027056836988776922,
-0.03714771941304207,
-0.007217559963464737,
0.027831949293613434,
0.013425670564174652,
0.006763307843357325,
-0.027255121618509293,
0.008558684960007668,
-0.023794153705239296,
0.017924929037690163,
-0.027327224612236023,
0.00024244800442829728,
-0.002103619510307908,
0.04190655052661896,
-0.015603195875883102,
-0.028841396793723106,
0.002830062061548233,
-0.029995054006576538,
0.013216570019721985,
-0.010613634251058102,
0.027687741443514824,
-0.021140744909644127,
0.024962229654192924,
0.029288439080119133,
-0.03706119582056999,
-0.008090011775493622,
0.03899357095360756,
-0.009755603037774563,
-0.017420204356312752,
0.025178540498018265,
0.012481114827096462,
0.03954155743122101,
0.022568393498659134,
0.07654506713151932,
-0.02849530056118965,
0.05073201656341553,
-0.03804180398583412,
0.06679667532444,
-0.019814040511846542,
0.007758336141705513,
-0.03544607758522034,
-0.02222229726612568,
0.04262758418917656,
0.013605928979814053,
-0.007076957728713751,
-0.013980867341160774,
0.022597234696149826,
0.04914574325084686,
-0.05606767535209656,
0.006629916373640299,
-0.04205075651407242,
-0.0012131412513554096,
0.014262070879340172,
-0.006770518142729998,
0.027759844437241554,
0.05456792563199997,
-0.005948538426309824,
0.015848347917199135,
0.006936355959624052,
-0.01825660467147827,
-0.025034332647919655,
-0.04704032093286514,
0.00009564978972775862,
-0.03221584111452103,
-0.023289429023861885,
-0.015314782038331032,
0.01564645767211914,
0.012113386765122414,
0.02784636989235878,
0.034840408712625504,
-0.007938594557344913,
-0.05032823979854584,
-0.005223898217082024,
-0.010721789672970772,
-0.012820000760257244,
0.04741525650024414,
-0.046492334455251694,
0.038070645183324814,
0.004037795588374138,
0.023649945855140686,
-0.0003138755273539573,
-0.005807936657220125,
0.019338157027959824,
0.01465142983943224,
-0.022957753390073776,
0.03688814863562584,
-0.013944815844297409,
-0.03899357095360756,
-0.02091001346707344,
-0.013389619067311287,
0.01003680657595396,
-0.029201915487647057,
-0.020419709384441376,
0.010116119869053364,
0.04836702346801758,
0.04701147973537445,
-0.009856547228991985,
0.003455559955909848,
-0.05384688824415207,
-0.03391748294234276,
-0.013014680705964565,
0.02628893405199051,
0.004618228878825903,
-0.005991800222545862,
0.00041234184755012393,
0.008645208552479744,
0.059413280338048935,
0.08704333752393723,
-0.0009724958799779415,
-0.023476896807551384,
-0.037811070680618286,
-0.005631282925605774,
-0.009611396118998528,
-0.04444459453225136,
0.0417623445391655,
0.03746497631072998,
-0.040176067501306534,
0.0013492365833371878,
0.00461101857945323,
0.013742925599217415,
0.024991070851683617,
-0.029100969433784485,
-0.006154033355414867,
-0.008097222074866295,
-0.041185516864061356,
0.019107425585389137,
-0.02054949663579464,
-0.00099142303224653,
-0.006539786700159311,
0.02501991204917431,
-0.0261447262018919,
-0.009755603037774563,
0.0016430583782494068,
0.04421386122703552,
-0.05174146592617035,
0.039512716233730316,
-0.0344943106174469,
-0.004221659619361162,
0.07850628346204758,
0.05805773288011551,
0.0008801132789812982,
0.004445180296897888,
0.025366008281707764,
-0.020434129983186722,
0.01717505231499672,
0.020160136744379997,
0.018170081079006195,
-0.0029039683286100626,
-0.020520653575658798,
0.03362907096743584,
-0.052404820919036865,
0.0064784991554915905,
-0.006954382173717022,
-0.006020641885697842,
0.006179269403219223,
0.05275091528892517,
0.05456792563199997,
0.00038935887278057635,
0.0056024412624537945,
0.05557737499475479,
-0.00847937073558569,
0.037522658705711365,
-0.009539292193949223,
0.03717656061053276,
0.03143712505698204,
-0.0024875705130398273,
0.015617616474628448,
-0.004942694678902626,
-0.0017142605502158403,
0.04750178009271622,
0.0016628868179395795,
-0.006601074710488319,
0.029245177283883095,
-0.015329202637076378,
0.04629044234752655,
0.02352016046643257,
-0.0007715073879808187,
0.06241278350353241,
0.02832225151360035,
0.01199802104383707,
0.03060072287917137,
0.08300554007291794,
-0.04037795588374138,
0.02509201504290104,
0.04470416530966759,
-0.011010203510522842,
-0.05615420266985893,
-0.027572376653552055,
0.04288715869188309,
0.029000025242567062,
0.008652418851852417,
-0.09465746581554413,
0.012084545567631721,
0.011745658703148365,
0.025250643491744995,
-0.02399604208767414,
-0.007304084021598101,
0.02853856235742569,
0.021371476352214813,
0.01223596278578043,
0.042569901794195175,
-0.01815566048026085,
-0.04842470586299896,
-0.009705130010843277,
-0.04505026340484619,
-0.023606684058904648,
-0.032071635127067566,
-0.03394632413983345,
-0.028581824153661728,
-0.03074493072926998,
0.0740647092461586,
-0.017002003267407417,
-0.018602700904011726,
-0.004499258007854223,
-0.023361532017588615,
0.005292396526783705,
-0.018545018509030342,
0.05866340175271034,
-0.012315277010202408,
0.03680162504315376,
-0.008364005014300346,
0.06022083759307861,
-0.008075591176748276,
-0.050414763391017914,
-0.003792643779888749,
-0.019886143505573273,
0.03299455717206001,
0.02951917052268982,
0.01731926016509533,
0.047905560582876205,
0.0021594995632767677,
-0.05782700330018997,
0.0018512571696192026,
0.012668583542108536,
-0.00929414015263319,
0.048453547060489655,
0.002491175662726164,
0.0075348149985075,
-0.03435010462999344,
-0.0003535324358381331,
0.014290912076830864,
-0.043002523481845856,
-0.02538043074309826,
0.009733972139656544,
0.011096728034317493,
0.007289663422852755,
-0.047184526920318604,
-0.009106671437621117,
0.05058781057596207,
-0.030831454321742058,
0.03394632413983345,
-0.035013455897569656,
-0.022207876667380333,
-0.021775254979729652,
-0.015127313323318958,
0.008890360593795776,
0.008551474660634995,
0.05202988162636757,
0.0176076740026474,
-0.03463852033019066,
-0.007736704777926207,
-0.03587869927287102,
-0.022352082654833794,
-0.0259572584182024,
-0.019554467871785164,
-0.004935484379529953,
-0.022352082654833794,
-0.0326773039996624,
0.03732077032327652,
0.002424479927867651,
0.026880182325839996,
-0.018617121502757072,
0.04779019579291344,
-0.03726308420300484,
-0.016800114884972572,
0.03824369236826897,
-0.04236801341176033,
0.029908528551459312,
0.007145456038415432,
-0.02028992399573326,
-0.037666864693164825,
0.016439596191048622,
-0.012783949263393879,
0.0013600521488115191,
0.03132175654172897,
0.04470416530966759,
-0.008493791334331036,
0.03406168892979622,
0.023693207651376724,
-0.015877189114689827,
-0.05500054359436035,
-0.03651320934295654,
0.018905535340309143,
0.0007102194358594716,
0.029648955911397934,
-0.030225785449147224,
-0.018617121502757072,
0.019583309069275856,
-0.0022063669748604298,
-0.014752374961972237,
0.022020407021045685,
-0.03576333448290825,
0.0021522892639040947,
-0.006882278714329004,
-0.029418226331472397,
-0.015458988957107067,
-0.024313298985362053,
0.014968685805797577,
0.04026259109377861,
0.07469922304153442,
-0.003078819252550602,
-0.016035817563533783,
0.017146211117506027,
-0.029072128236293793,
-0.02330384962260723,
-0.02153010293841362,
0.0077078635804355145,
0.013771767728030682,
-0.06085534766316414,
-0.00701567018404603,
0.006114376243203878,
-0.050155188888311386,
-0.03132175654172897,
-0.02959127351641655,
0.014694691635668278,
-0.0056420983746647835,
-0.025986099615693092,
0.012733477167785168,
0.03336949646472931,
0.03357138857245445,
0.010966941714286804,
-0.004254105966538191,
0.029418226331472397,
0.04940531402826309,
-0.0013753741513937712,
-0.006197295151650906,
0.0006435237010009587,
0.008075591176748276,
-0.0010139553342014551,
0.04395429044961929,
-0.024370981380343437,
0.02643314003944397,
-0.020448550581932068,
-0.03533071279525757,
-0.01811239682137966,
-0.04306020587682724,
0.034436628222465515,
0.032908033579587936,
0.012755108065903187,
-0.009856547228991985,
0.0069579873234033585,
-0.01421159878373146,
-0.007397818379104137,
0.02540927194058895,
-0.03680162504315376,
0.05641377344727516,
-0.014139494858682156,
-0.015949292108416557,
-0.01522825751453638,
-0.04836702346801758,
0.012156649492681026,
0.014853320084512234,
-0.019035322591662407,
0.0015186798991635442,
-0.041445087641477585,
-0.006042272783815861,
0.007462711539119482,
0.018718067556619644,
0.05727901682257652,
0.026548506692051888,
0.034840408712625504,
-0.04092594236135483,
-0.0005380723159760237,
0.05021287500858307,
-0.010173803195357323,
-0.009560923092067242,
0.025366008281707764,
0.0035420842468738556,
0.04127204045653343,
-0.006929145660251379,
0.017506727948784828,
0.00573583273217082,
-0.005811541806906462,
-0.046521175652742386,
0.026952285319566727,
-0.03143712505698204,
-0.016828956082463264,
0.054221827536821365,
-0.007185113150626421,
-0.052808597683906555,
0.0008318940526805818,
-0.020852331072092056,
-0.00035781358019448817,
0.008998516015708447,
-0.008537054061889648,
-0.013281463645398617,
0.008594736456871033,
0.031639013439416885,
-0.06945008784532547,
0.01629539020359516,
0.04894385114312172,
-0.029850846156477928,
0.015776244923472404,
0.02334711141884327,
0.01269021537154913,
0.00711661484092474,
0.019366998225450516,
-0.04098362475633621,
-0.044242702424526215,
-0.020232239738106728,
-0.04597318917512894,
-0.006341502070426941,
0.008551474660634995,
0.0021901435684412718,
0.007816018536686897,
-0.0381283275783062,
0.03172553703188896,
-0.039051253348588943,
-0.016136761754751205,
0.0037025143392384052,
-0.024515187367796898,
0.05906718224287033,
-0.04141624644398689,
0.010418955236673355,
-0.017434624955058098,
-0.034580834209918976,
-0.021083062514662743,
-0.033196449279785156,
-0.046896111220121384,
-0.018602700904011726,
0.025423692539334297,
-0.05205872282385826,
0.05139537155628204,
-0.024125829339027405,
-0.027644479647278786,
0.07244958728551865,
-0.020520653575658798,
-0.06229741871356964,
-0.03732077032327652,
-0.014399067498743534,
0.021659890189766884,
-0.005725017283111811,
0.005966564174741507,
0.01619444414973259,
0.04528099298477173,
-0.00045109749771654606,
0.010671316646039486,
-0.01118325162678957,
0.037782229483127594,
-0.016944320872426033,
0.0028480880428105593,
0.04657885804772377,
0.03201395273208618,
-0.036542050540447235,
-0.014067391864955425,
0.004427154548466206,
0.006665967870503664,
0.017275996506214142,
-0.02719743736088276,
-0.008248639293015003,
-0.012358538806438446,
-0.11196230351924896,
-0.00015254395839292556,
-0.015329202637076378,
-0.02875487320125103,
-0.03391748294234276,
-0.04577129706740379,
-0.01753556914627552,
0.04184886813163757,
-0.0036989091895520687,
-0.013937605544924736,
-0.04940531402826309,
-0.019410260021686554,
0.024890126660466194,
-0.009027357213199139,
0.0261447262018919,
-0.042569901794195175,
-0.035417236387729645,
-0.022193456068634987,
0.025913996621966362,
-0.05727901682257652,
-0.02337595261633396,
-0.00933019258081913,
0.00858752615749836,
0.019222792237997055,
0.02036202698945999,
0.003460967680439353,
-0.04415617883205414,
0.007048116531223059,
0.025582319125533104,
0.0035781359765678644,
-0.006099955644458532,
0.002080185804516077,
0.060970716178417206,
-0.0024569265078753233,
-0.01724715530872345,
0.01863154210150242,
-0.02291448973119259,
-0.03282150998711586,
-0.031091026961803436,
0.0580865740776062,
0.02512085810303688,
-0.008176536299288273,
0.03974344581365585,
-0.004726383835077286,
0.04978025332093239,
-0.009755603037774563,
-0.05318353697657585,
-0.02791847288608551,
-0.0038431163411587477,
-0.022352082654833794,
-0.019439101219177246,
0.031062185764312744,
-0.011738448403775692,
-0.014810057356953621,
-0.013937605544924736,
-0.030110418796539307,
-0.024890126660466194,
-0.031235232949256897,
0.04455995932221413,
0.022900069132447243,
0.03463852033019066,
-0.031091026961803436,
0.03362907096743584,
0.001825119717977941,
0.019323736429214478,
0.03432126343250275,
-0.01363477110862732,
-0.015588775277137756,
0.02457287162542343,
0.0009328389423899353,
-0.08115969598293304,
-0.028235727921128273,
0.049030374735593796,
0.0015340017853304744,
0.0077078635804355145,
0.03371559455990791,
-0.004733594600111246,
-0.01350498478859663,
-0.008825467899441719,
0.0319562703371048,
0.00889757089316845,
-0.029360542073845863,
0.0562695674598217,
0.012466694228351116,
0.008760574273765087,
-0.008731733076274395,
0.011313037946820259,
-0.0544525571167469,
0.0035907540004700422,
0.003911614418029785,
-0.009373454377055168,
-0.03111986815929413,
0.026548506692051888,
-0.011904287151992321,
-0.02835109457373619,
-0.032186999917030334,
0.0014853320317342877,
-0.01691547967493534,
0.032331205904483795,
-0.022640496492385864,
-0.017160631716251373,
0.008428898639976978,
0.0029598483815789223,
0.0007575373165309429,
-0.010750630870461464,
0.011039044708013535,
-0.01753556914627552,
-0.015271520242094994,
0.030917977914214134,
-0.010325220413506031,
-0.03844558447599411,
0.08156347274780273,
0.009272509254515171,
0.03241772949695587,
-0.022539552301168442,
-0.015660878270864487,
0.011486086994409561,
-0.009777233935892582,
0.05540432408452034,
-0.020636020228266716,
0.0003228884597774595,
0.03734961152076721,
0.028884660452604294,
-0.027543535456061363,
-0.013122836127877235,
0.0008012500475160778,
0.09448441863059998,
-0.018141239881515503,
-0.05834614858031273,
-0.020938854664564133,
0.06587374955415726,
-0.015805086120963097,
0.002026108093559742,
-0.015011947602033615,
-0.0315813310444355,
0.026606189087033272,
0.048770803958177567,
-0.0074122389778494835,
0.034148216247558594,
-0.004178397357463837,
-0.028552982956171036,
-0.012639742344617844,
-0.020592758432030678,
-0.005414972547441721,
0.001028376049362123,
0.029677798971533775,
-0.04767483100295067,
-0.03336949646472931,
0.009099461138248444,
0.03674393892288208,
0.025438113138079643,
0.034148216247558594,
-0.027471430599689484,
0.020174557343125343,
-0.025567898526787758,
-0.035273030400276184,
-0.04767483100295067,
-0.05929791182279587,
-0.030543040484189987,
0.007113009691238403,
-0.022900069132447243,
0.016641486436128616,
-0.026606189087033272,
0.034177057445049286,
0.016381913796067238,
0.03460967540740967,
0.01421159878373146,
-0.0007323010941036046,
-0.012149439193308353,
0.03166785463690758,
0.004459600895643234,
0.059701692312955856,
0.03648436814546585,
0.03749381750822067,
0.008392847143113613,
0.007210349198430777,
-0.024774760007858276,
0.03931082412600517,
0.027384907007217407,
0.0827748104929924,
-0.03198511153459549,
-0.0016205260762944818,
-0.023174062371253967,
0.04571361467242241,
-0.058432672172784805,
-0.02817804552614689,
-0.019583309069275856,
0.022164614871144295,
0.004989561624825001,
-0.006615495774894953,
-0.034004006534814835,
0.01294257678091526,
0.042137280106544495,
0.018126819282770157,
-0.04352166876196861,
0.012221542187035084,
-0.00806117057800293,
-0.011010203510522842,
-0.005840383004397154,
0.009099461138248444,
-0.009907020255923271,
-0.0344943106174469,
0.004138740710914135,
-0.021284950897097588,
0.019886143505573273,
0.014766795560717583,
-0.025798629969358444,
0.004978746175765991,
0.017737459391355515,
0.012733477167785168,
-0.03769570589065552,
0.0036015694495290518,
0.05693291872739792,
-0.0011969179613515735,
0.009344613179564476,
-0.04631928354501724,
-0.0715266689658165,
0.015675298869609833,
-0.06541229039430618,
-0.04643464833498001,
0.06368180364370346,
0.002381217898800969,
-0.007578077260404825,
0.026562927290797234,
-0.07383397966623306,
0.0274137482047081,
0.005086901597678661,
-0.010599213652312756,
0.03772454708814621,
0.00407384755089879,
-0.055087070912122726,
0.04219496622681618,
-0.016237705945968628,
-0.024024883285164833,
-0.02073696441948414,
0.008652418851852417,
-0.028927922248840332,
-0.0399453341960907,
-0.029346121475100517,
0.0526355504989624,
0.013533825986087322,
-0.012019652873277664,
-0.008991305716335773,
-0.028942342847585678,
0.019943825900554657,
-0.03256193920969963,
0.042742952704429626,
-0.030687246471643448,
-0.027399327605962753,
-0.020102454349398613,
-0.02951917052268982,
0.01825660467147827,
0.019107425585389137,
0.03045651502907276,
0.017333680763840675,
-0.00627300376072526,
-0.02545253373682499,
0.04473300650715828,
0.03553260117769241,
0.010880417190492153,
-0.004286552779376507,
0.015963712707161903,
0.01583392731845379,
0.02203482761979103,
-0.04978025332093239,
0.04288715869188309,
0.026952285319566727,
-0.018198922276496887,
0.005389736033976078,
-0.027889631688594818,
-0.04455995932221413,
-0.0011311235139146447,
-0.02406814694404602,
-0.0008679457823745906,
-0.008652418851852417,
0.007916963659226894,
-0.013339146040380001,
0.03060072287917137,
-0.02377973310649395,
-0.0526355504989624,
-0.0025200170930474997,
-0.021357055753469467,
0.0319562703371048,
-0.0040846629999578,
-0.0019630175083875656,
0.0041098990477621555,
0.013728505000472069,
0.03602290526032448,
0.019482364878058434,
-0.011565400287508965,
-0.016540542244911194,
0.007174297701567411,
0.021443579345941544,
-0.0384744256734848,
-0.004971535876393318,
0.04222380742430687,
0.021068640053272247,
0.017694197595119476,
-0.019035322591662407,
-0.0032302364706993103,
0.041445087641477585,
0.03720540180802345,
-0.006943566258996725,
0.05768279358744621,
-0.019366998225450516,
0.030081577599048615,
-0.0159781351685524,
-0.08969675004482269,
-0.006889489013701677,
-0.0064316317439079285,
-0.022640496492385864,
0.02780310809612274,
0.0066551524214446545,
-0.027356065809726715,
-0.011356300674378872,
-0.031783219426870346,
0.012567639350891113,
-0.04262758418917656,
-0.003716935170814395,
0.0026930654421448708,
-0.05831730738282204,
-0.014391857199370861,
0.03619595244526863,
0.011190461926162243,
0.007163482252508402,
0.019741937518119812,
0.018328707665205002,
0.03475388512015343,
0.053385425359010696,
0.000416622991906479,
0.039772287011146545,
-0.027716582641005516,
-0.002507399069145322,
-0.02040528878569603,
0.012683004140853882,
0.020419709384441376,
-0.006608285009860992,
0.040204908698797226,
0.025063173845410347,
-0.019121846184134483,
-0.026894602924585342,
-0.004495652858167887,
-0.00470114778727293,
-0.02791847288608551,
0.026490824297070503,
0.027673320844769478,
-0.0006755196372978389,
0.011269776150584221,
-0.019150687381625175,
0.03959923982620239,
0.017506727948784828,
-0.022453028708696365,
0.018141239881515503,
-0.040320273488759995,
-0.04908805713057518,
-0.04741525650024414,
-0.020895592868328094,
-0.02141473814845085,
-0.030254626646637917,
-0.03152364864945412,
0.008003488183021545,
0.0009035469265654683,
-0.009755603037774563,
-0.00951045099645853,
-0.012639742344617844,
0.01930931583046913,
0.001854862435720861,
0.02581305056810379,
-0.012005231343209743,
-0.045252151787281036,
-0.06022083759307861,
-0.0009121092152781785,
0.057134807109832764,
-0.038099486380815506,
0.03902241215109825,
0.014471171423792839,
0.018472915515303612,
-0.037811070680618286,
-0.028985604643821716,
0.008364005014300346,
-0.013966446742415428,
0.032908033579587936,
0.0007877306779846549,
-0.05275091528892517,
0.01612234115600586,
-0.03758034110069275,
0.023462476208806038,
0.049722570925951004,
0.002851693192496896,
0.030629564076662064,
-0.02243860810995102,
-0.017737459391355515,
-0.008702891878783703,
0.018213342875242233,
-0.02607262320816517,
-0.014896581880748272,
0.0323023647069931,
-0.01403134036809206,
0.045655932277441025,
-0.052404820919036865,
0.24388286471366882,
0.06431631743907928,
0.03097566030919552,
0.008681260980665684,
0.029620114713907242,
0.03259078040719032,
0.02545253373682499,
-0.041877709329128265,
0.00019118691852781922,
-0.02602936141192913,
0.013144467025995255,
-0.05148189514875412,
-0.029677798971533775,
0.0015195811865851283,
0.03674393892288208,
0.06033620238304138,
-0.007866491563618183,
-0.027024390175938606,
0.04265642538666725,
0.0089840954169631,
-0.07343019545078278,
-0.01705968752503395,
-0.007426660042256117,
0.013843870721757412,
0.002846285467967391,
0.029850846156477928,
0.002447913633659482,
-0.006626311223953962,
-0.031639013439416885,
-0.015805086120963097,
-0.03616711124777794,
-0.03342717885971069,
-0.006514550652354956,
0.012135017663240433,
-0.04435807093977928,
0.026894602924585342,
-0.03535955399274826,
-0.021328212693333626,
-0.04548288509249687,
-0.017088528722524643,
-0.03253309801220894,
0.013678032904863358,
0.010988572612404823,
0.018328707665205002,
0.013086783699691296,
0.05947096273303032,
0.025971679016947746,
-0.0110750962048769,
0.021342633292078972,
-0.05064549297094345,
0.0827748104929924,
-0.01734810136258602,
0.005721412133425474,
0.020535074174404144,
-0.08121737837791443,
0.033311814069747925,
0.009409505873918533,
0.0018963218899443746,
0.0008913794299587607,
0.01851617731153965,
0.016136761754751205,
-0.02494780905544758,
-0.04750178009271622,
0.01454327441751957,
-0.031494807451963425,
0.05958632752299309,
-0.023909518495202065,
0.02813478372991085,
-0.026808079332113266,
0.0008427095599472523,
-0.015877189114689827,
-0.0041423458606004715,
-0.0259572584182024,
-0.004823723807930946,
0.013786188326776028,
0.03198511153459549,
-0.0009197702165693045,
0.035417236387729645,
-0.032879192382097244,
-0.00720674404874444,
-0.016684748232364655,
-0.007779967039823532,
-0.02734164521098137,
-0.018328707665205002,
0.04490605741739273,
0.06841179728507996,
0.007152666803449392,
-0.03198511153459549,
0.016728010028600693,
0.02153010293841362,
0.00793138425797224,
0.023448055610060692,
-0.0352153480052948,
-0.05929791182279587,
-0.02327500842511654
] |
1210_5 | The astronomical unit is typically used for stellar system scale distances, such as the size of a protostellar disk or the heliocentric distance of an asteroid, whereas other units are used for other distances in astronomy. The astronomical unit is too small to be convenient for interstellar distances, where the parsec and light-year are widely used. The parsec (parallax arcsecond) is defined in terms of the astronomical unit, being the distance of an object with a parallax of . The light-year is often used in popular works, but is not an approved non-SI unit and is rarely used by professional astronomers.
When simulating a numerical model of the Solar System, the astronomical unit provides an appropriate scale that minimizes (overflow, underflow and truncation) errors in floating point calculations.
History
The book On the Sizes and Distances of the Sun and Moon, which is ascribed to Aristarchus, says the distance to the Sun is 18 to 20 times the distance to the Moon, whereas the true ratio is about . The latter estimate was based on the angle between the half-moon and the Sun, which he estimated as (the true value being close to ). Depending on the distance that van Helden assumes Aristarchus used for the distance to the Moon, his calculated distance to the Sun would fall between and Earth radii. | [
0.013669672422111034,
0.03240537643432617,
0.056027717888355255,
-0.04669933393597603,
-0.02733934484422207,
0.058065611869096756,
-0.004036320839077234,
-0.03734224662184715,
0.027985157445073128,
0.05789339542388916,
0.03711262345314026,
-0.022675152868032455,
-0.04448922351002693,
-0.03386921435594559,
-0.030166564509272575,
-0.027296291664242744,
-0.01624574325978756,
-0.02416769415140152,
-0.096039317548275,
-0.004728774074465036,
0.02059420570731163,
-0.008165925741195679,
-0.05298523232340813,
-0.024440370500087738,
-0.005320767872035503,
0.015097633004188538,
0.0663032978773117,
0.04319760203361511,
0.04962701350450516,
0.06406448036432266,
0.018398446962237358,
-0.03837554529309273,
0.006996289361268282,
-0.04667063057422638,
0.003871280001476407,
0.022603396326303482,
0.03955235704779625,
-0.04876593127846718,
0.0155999306589365,
-0.045178089290857315,
0.052726905792951584,
-0.00852470938116312,
0.045637331902980804,
-0.010935738682746887,
-0.014638389460742474,
0.012521564029157162,
0.0018531196983531117,
-0.045924361795186996,
-0.014559457078576088,
-0.013669672422111034,
-0.0015858255792409182,
-0.008065465837717056,
0.006400707643479109,
-0.01578649878501892,
0.008510357700288296,
-0.015743445605039597,
0.03783019259572029,
-0.0010853217681869864,
-0.028903644531965256,
0.03966716676950455,
0.03880608454346657,
-0.011258644051849842,
-0.0395810566842556,
-0.06486815959215164,
-0.02878883294761181,
0.03246278315782547,
-0.01325348298996687,
-0.02158444933593273,
-0.015284201130270958,
-0.012844469398260117,
-0.0041905976831912994,
0.02271820604801178,
0.0034640601370483637,
0.00706087052822113,
-0.02346447855234146,
-0.009471898898482323,
0.011222765780985355,
0.029822131618857384,
0.010132062248885632,
0.038949597626924515,
0.0228760726749897,
0.038461651653051376,
-0.03315164893865585,
-0.028042562305927277,
0.003643452189862728,
-0.031458187848329544,
0.02558847889304161,
0.0018602954223752022,
-0.01183987408876419,
-0.016389256343245506,
0.025760695338249207,
0.05542496219277382,
-0.018455851823091507,
-0.007584695238620043,
0.03375440463423729,
-0.01963266357779503,
-0.008216154761612415,
0.02164185419678688,
0.012342171743512154,
0.022187206894159317,
0.06165345385670662,
0.054133340716362,
-0.005654437001794577,
0.041073597967624664,
-0.022144151851534843,
0.07962135970592499,
-0.008639520034193993,
0.03157299757003784,
-0.02234507165849209,
-0.038145922124385834,
0.02478480339050293,
-0.02432555891573429,
0.01240675337612629,
-0.006737964693456888,
0.06027572229504585,
0.05376020446419716,
-0.03869127482175827,
0.00010062771616503596,
-0.019704420119524002,
0.0239524245262146,
0.015930011868476868,
0.006838424131274223,
0.030912835150957108,
0.03791629895567894,
0.01858501508831978,
-0.0007171196630224586,
0.0016943577211350203,
0.0023051875177770853,
-0.03122856467962265,
-0.06613107770681381,
0.02878883294761181,
-0.026994913816452026,
-0.03168780729174614,
0.02690880559384823,
0.04159024730324745,
0.01769522950053215,
0.05152139067649841,
0.016762390732765198,
0.02459823526442051,
-0.055999018251895905,
-0.027970805764198303,
0.007412478793412447,
-0.0029581745620816946,
0.07451227307319641,
-0.043513331562280655,
0.029678618535399437,
0.009285331703722477,
0.011308874003589153,
-0.004570908844470978,
0.02303393743932247,
-0.021684909239411354,
-0.006608802359551191,
-0.02690880559384823,
0.018054014071822166,
-0.047330792993307114,
-0.01388494297862053,
-0.005887646693736315,
0.018025310710072517,
-0.018656771630048752,
-0.011330400593578815,
-0.006167497951537371,
-0.017523013055324554,
0.004441746510565281,
0.04374295473098755,
0.012227361090481281,
0.012535914778709412,
-0.08283606171607971,
0.013755780644714832,
-0.005959403235465288,
-0.002992259105667472,
0.03375440463423729,
-0.012507212348282337,
-0.033094242215156555,
-0.009084412828087807,
0.033524781465530396,
0.06153864413499832,
-0.004768240265548229,
-0.017781337723135948,
-0.03079802356660366,
-0.007462708745151758,
0.014667092822492123,
-0.025114884600043297,
-0.021412232890725136,
0.02725323662161827,
-0.005941464100033045,
0.0004161895194556564,
0.01051237341016531,
-0.006253606174141169,
0.006953235249966383,
-0.022761261090636253,
0.02367974817752838,
0.01849890686571598,
-0.04756041616201401,
-0.00650475500151515,
0.005231071729212999,
-0.008510357700288296,
-0.0005713636055588722,
0.00915616936981678,
-0.015241147018969059,
-0.019403042271733284,
-0.015958715230226517,
0.01692025735974312,
-0.011940333992242813,
0.04491976648569107,
0.002285454422235489,
-0.04747430607676506,
0.04962701350450516,
0.050602905452251434,
-0.029362887144088745,
0.027913400903344154,
0.01158872526139021,
0.012521564029157162,
0.0008619787404313684,
0.029793428257107735,
0.0006740655517205596,
0.008187452331185341,
-0.027382399886846542,
0.03206094354391098,
-0.02682269737124443,
0.00402196915820241,
0.029391590505838394,
0.029822131618857384,
0.0006709261797368526,
0.028028210625052452,
0.03005175292491913,
-0.03163040429353714,
-0.017063770443201065,
0.07617703080177307,
0.019101664423942566,
0.03005175292491913,
-0.028315238654613495,
0.003368982346728444,
-0.0025114885065704584,
-0.04087268188595772,
-0.010698940604925156,
0.010569778271019459,
0.016044823452830315,
0.029018454253673553,
-0.03427105396986008,
-0.0010709704365581274,
0.019647015258669853,
0.008201804012060165,
0.042652249336242676,
0.006547809112817049,
0.0010153589537367225,
0.03587840497493744,
-0.010017250664532185,
-0.008646695874631405,
0.01208384707570076,
0.08587855100631714,
-0.03926532715559006,
0.013648145832121372,
0.03082672692835331,
-0.03734224662184715,
-0.05792209878563881,
-0.01994839310646057,
-0.007656451780349016,
0.0008754330920055509,
-0.002620917512103915,
-0.0831804946064949,
-0.016016120091080666,
-0.013892118819057941,
0.06923097372055054,
-0.01710682362318039,
0.00023634900571778417,
0.004520679358392954,
0.0375431627035141,
0.04087268188595772,
0.03461548686027527,
0.0014064335264265537,
-0.035160839557647705,
-0.012722482904791832,
-0.06727918982505798,
-0.0375431627035141,
0.006257194094359875,
-0.02548801898956299,
0.008639520034193993,
-0.03326645866036415,
0.0280569139868021,
-0.03039618581533432,
-0.03415624424815178,
0.001928464393131435,
-0.031027646735310555,
-0.00038883223896846175,
-0.01858501508831978,
0.031429484486579895,
0.016202688217163086,
0.039380140602588654,
0.013619443401694298,
0.03203224018216133,
0.0007426830125041306,
-0.032663702964782715,
0.026578722521662712,
-0.031802620738744736,
0.03570618852972984,
0.006228491198271513,
0.04750300943851471,
0.04695765674114227,
0.028874941170215607,
-0.05453517660498619,
0.0036057797260582447,
0.00032783893402665854,
-0.03197483718395233,
0.0011741208145394921,
-0.03378310799598694,
-0.02185712568461895,
-0.024612586945295334,
-0.035218242555856705,
0.006508342921733856,
-0.06027572229504585,
-0.04196338355541229,
-0.04667063057422638,
-0.02339272014796734,
0.015327255241572857,
-0.02950640209019184,
0.03085543029010296,
0.0002367974811932072,
-0.004861523862928152,
-0.0032577593810856342,
-0.04830668494105339,
-0.01578649878501892,
-0.015930011868476868,
-0.018082717433571815,
0.003770820563659072,
-0.012500036507844925,
0.0708957314491272,
0.0070214043371379375,
-0.046871550381183624,
-0.004535030573606491,
-0.0025437790900468826,
-0.016934607177972794,
0.018384095281362534,
-0.03573489189147949,
0.04070046544075012,
-0.03421364724636078,
-0.025071829557418823,
0.00698911352083087,
0.00935708824545145,
0.026779642328619957,
-0.010297102853655815,
0.07600481808185577,
-0.04130322113633156,
-0.022775612771511078,
0.05037328228354454,
-0.03381181135773659,
-0.004438159056007862,
0.011574373580515385,
0.00038502016104757786,
-0.00866104755550623,
0.0004547587886918336,
-0.034012727439403534,
-0.014150443486869335,
0.022115450352430344,
0.036796893924474716,
0.021814070641994476,
0.03920792415738106,
-0.02690880559384823,
-0.01178964413702488,
-0.06498297303915024,
-0.004617550875991583,
0.02484220825135708,
0.015226795338094234,
0.019101664423942566,
-0.04164765402674675,
0.005765659734606743,
0.0098952641710639,
0.03168780729174614,
-0.010756346397101879,
0.011854225769639015,
-0.023909369483590126,
0.014014105312526226,
-0.013576389290392399,
-0.015757795423269272,
-0.0008355184108950198,
0.00945037230849266,
0.015930011868476868,
0.019345637410879135,
0.05447777360677719,
0.036481164395809174,
-0.05172231048345566,
-0.017738284543156624,
-0.018699824810028076,
0.00011027004075003788,
-0.029793428257107735,
-0.04095878824591637,
0.015729093924164772,
-0.04259484261274338,
-0.025358857586979866,
-0.02682269737124443,
-0.042250409722328186,
-0.020149312913417816,
-0.014738849364221096,
0.01600176841020584,
-0.015542525798082352,
-0.02472739852964878,
-0.007957830093801022,
0.039810679852962494,
0.026463912799954414,
0.010318629443645477,
-0.038920894265174866,
0.02524404600262642,
0.01917342096567154,
-0.009027007035911083,
0.03582100197672844,
-0.021771017462015152,
0.014552281238138676,
0.005765659734606743,
0.046842847019433975,
0.00020921595569234341,
0.02626299299299717,
-0.027640724554657936,
-0.02993694320321083,
-0.027267588302493095,
-0.003426387906074524,
0.035275649279356,
0.020206717774271965,
0.01393517293035984,
-0.025602830573916435,
-0.030080456286668777,
-0.015729093924164772,
-0.0238950178027153,
0.008517533540725708,
-0.014258078299462795,
0.058065611869096756,
-0.005449929740279913,
-0.019862284883856773,
-0.053042635321617126,
-0.06171086058020592,
0.02607642486691475,
0.03903570771217346,
-0.02212980017066002,
0.02136917971074581,
-0.04038473591208458,
0.010670238174498081,
0.0281430222094059,
-0.0028092791326344013,
0.05450647324323654,
0.0023087754379957914,
0.06343302130699158,
-0.0582091249525547,
0.03160170093178749,
0.07198643684387207,
0.030711915343999863,
0.015886958688497543,
0.013289361260831356,
0.0059342882595956326,
-0.004212124738842249,
0.03300813212990761,
-0.006142382975667715,
-0.0060203964821994305,
-0.01023252122104168,
-0.050574202090501785,
0.020120609551668167,
-0.01475320104509592,
-0.0054284026846289635,
0.03880608454346657,
0.0036739488132297993,
-0.04239392653107643,
-0.014322659932076931,
0.0008059187093749642,
-0.011136657558381557,
0.009565182961523533,
-0.02096734009683132,
-0.026463912799954414,
-0.007649276405572891,
0.027152778580784798,
-0.07267530262470245,
0.026492616161704063,
0.06819767504930496,
-0.022818665951490402,
0.018484555184841156,
0.005632909946143627,
0.004951220005750656,
-0.01818317547440529,
0.024124640971422195,
-0.07594741135835648,
-0.05671658366918564,
-0.00789324939250946,
-0.024225100874900818,
-0.016948958858847618,
0.0020073968917131424,
0.004933280870318413,
-0.004581672605127096,
-0.04093008488416672,
0.019345637410879135,
-0.03002304956316948,
0.0006933502154424787,
0.03504602611064911,
-0.03915051743388176,
0.02931983396410942,
-0.07353638112545013,
0.006081389728933573,
-0.01023252122104168,
-0.020048853009939194,
0.03082672692835331,
-0.04423090070486069,
-0.01997709646821022,
-0.002760843373835087,
0.0332951620221138,
-0.013296537101268768,
0.011531319469213486,
0.006232079118490219,
-0.02268950454890728,
0.02934853732585907,
-0.03871997445821762,
-0.042680952697992325,
-0.036825597286224365,
0.015743445605039597,
0.01753736473619938,
-0.006630329415202141,
0.010835278779268265,
0.03249148651957512,
0.022919125854969025,
0.01587260700762272,
0.010196642950177193,
0.00769233051687479,
0.054276853799819946,
0.0063827685080468655,
0.0001981160748982802,
0.03800240904092789,
0.018814636394381523,
-0.05720452964305878,
-0.012751185335218906,
0.00567237613722682,
-0.017207283526659012,
-0.005629322025924921,
-0.045178089290857315,
-0.01115818414837122,
-0.03915051743388176,
-0.06894394755363464,
-0.0038533408660441637,
-0.01237805001437664,
-0.018211878836154938,
-0.031142456457018852,
-0.04655582085251808,
-0.020063204690814018,
0.0625145360827446,
-0.013066915795207024,
-0.04250873625278473,
-0.01086398120969534,
-0.027267588302493095,
0.024885263293981552,
-0.01597306691110134,
0.0061639100313186646,
-0.04204949364066124,
-0.004700071178376675,
-0.01519809290766716,
0.015111984685063362,
-0.029736023396253586,
-0.016288796439766884,
0.006052687298506498,
0.014042808674275875,
0.028415698558092117,
-0.006145970895886421,
0.005995281506329775,
-0.0332951620221138,
-0.002229843055829406,
0.012887523509562016,
0.003178826766088605,
0.007326370570808649,
0.01898685283958912,
0.028286535292863846,
-0.020723367109894753,
-0.07416784018278122,
0.011481090448796749,
-0.0354478657245636,
-0.027985157445073128,
0.00184415013063699,
0.03338126838207245,
0.02555977739393711,
-0.0039538005366921425,
0.009027007035911083,
0.05278431251645088,
0.0709531381726265,
-0.003338485723361373,
-0.029061509296298027,
-0.042221710085868835,
0.0023912957403808832,
-0.021383529528975487,
-0.01818317547440529,
0.019345637410879135,
0.0036506277974694967,
-0.039781976491212845,
-0.02370845153927803,
0.003684712341055274,
-0.04336981847882271,
-0.02314874716103077,
0.029764726758003235,
0.03863386809825897,
0.048909444361925125,
-0.03286461904644966,
0.03989678621292114,
0.007563168182969093,
0.019230825826525688,
0.03843294829130173,
0.00852470938116312,
-0.021326124668121338,
0.01251438818871975,
-0.0028272185008972883,
-0.07698071002960205,
-0.028343940153717995,
0.03197483718395233,
-0.021957585588097572,
-0.007042931392788887,
0.02929113060235977,
0.03409883752465248,
-0.01874287985265255,
0.015930011868476868,
0.03501732647418976,
0.05376020446419716,
-0.013468753546476364,
0.041446734219789505,
0.018455851823091507,
-0.01206949632614851,
0.01908731274306774,
-0.019259529188275337,
-0.044718846678733826,
-0.006343302316963673,
0.05025847256183624,
-0.0009660260984674096,
-0.00945037230849266,
0.029850834980607033,
0.005690315272659063,
-0.03834684193134308,
-0.029176320880651474,
-0.004700071178376675,
0.019431745633482933,
0.043111491948366165,
-0.012830117717385292,
-0.005353058222681284,
0.0073012555949389935,
-0.0145666329190135,
0.006730788853019476,
0.005055267363786697,
0.024899613112211227,
0.022244611755013466,
0.0033169586677104235,
0.034299757331609726,
-0.03369699791073799,
-0.003395891049876809,
0.07606222480535507,
0.0053781731985509396,
0.011753765866160393,
-0.056056421250104904,
-0.020881231874227524,
0.010612832382321358,
-0.00018107383220922202,
0.052325066179037094,
0.000006492449756478891,
-0.03320905193686485,
0.0197618268430233,
0.06727918982505798,
-0.0028182489331811666,
-0.018269283697009087,
0.008876318112015724,
0.05947204679250717,
-0.03923662379384041,
-0.05694620683789253,
-0.009744575247168541,
0.0519232302904129,
-0.049282580614089966,
0.01702071540057659,
0.00026168813928961754,
-0.021785369142889977,
0.0007296770927496254,
0.044431816786527634,
-0.03260629624128342,
-0.0019481974886730313,
-0.024311207234859467,
-0.01206949632614851,
-0.024282505735754967,
-0.032233159989118576,
-0.014911065809428692,
0.01742255501449108,
-0.0002513730723876506,
-0.05212415009737015,
-0.021354828029870987,
0.005202368833124638,
0.06343302130699158,
0.010634359903633595,
0.03154429420828819,
-0.03628024458885193,
0.020120609551668167,
-0.0029007692355662584,
-0.010074656456708908,
-0.055166639387607574,
-0.040155112743377686,
-0.019072961062192917,
0.01018946710973978,
-0.025416262447834015,
0.018240582197904587,
-0.030166564509272575,
0.01898685283958912,
0.02512923628091812,
0.027784237638115883,
-0.0010539281647652388,
-0.036481164395809174,
-0.025631533935666084,
0.03289332240819931,
-0.013705551624298096,
0.01581520214676857,
0.022187206894159317,
-0.003553756047040224,
0.002116825897246599,
0.008051114156842232,
-0.024957019835710526,
0.029205022379755974,
0.03208964690566063,
0.038920894265174866,
-0.005991694051772356,
0.015111984685063362,
-0.048880741000175476,
0.024024181067943573,
-0.03033878095448017,
-0.010354507714509964,
0.015212444588541985,
0.023019585758447647,
0.009902440011501312,
-0.029879536479711533,
0.009909615851938725,
0.053071338683366776,
0.010533900000154972,
-0.0023841201327741146,
0.0018127565272152424,
0.03590710833668709,
-0.0029169144108891487,
0.02808561734855175,
0.04072916507720947,
0.010720468126237392,
-0.010576954111456871,
-0.04491976648569107,
0.02642085775732994,
0.01168200932443142,
0.07129757106304169,
-0.006106504704803228,
-0.008668223395943642,
-0.008273560553789139,
-0.004524266812950373,
-0.0056580244563519955,
-0.05031587556004524,
0.009134641848504543,
0.02586115524172783,
0.024641290307044983,
-0.011165359988808632,
-0.05502312257885933,
-0.05829523503780365,
0.020364582538604736,
-0.07881768047809601,
-0.08214719593524933,
0.03889219090342522,
0.0038354017306119204,
-0.0011104366276413202,
0.022646449506282806,
-0.02848745509982109,
-0.0035860466305166483,
-0.013949524611234665,
-0.02024977281689644,
0.04411608725786209,
-0.006874302867799997,
-0.054133340716362,
0.019962744787335396,
-0.018384095281362534,
-0.059357237070798874,
-0.015269849449396133,
-0.017465608194470406,
-0.03280721604824066,
-0.03917922079563141,
-0.021010395139455795,
0.042250409722328186,
0.019862284883856773,
-0.029018454253673553,
-0.030711915343999863,
-0.017824392765760422,
0.027985157445073128,
-0.02647826448082924,
-0.01689155399799347,
-0.031860023736953735,
-0.02795645408332348,
-0.028200427070260048,
-0.019647015258669853,
0.0207520704716444,
0.00711468793451786,
0.02752591297030449,
0.026277344673871994,
-0.020823827013373375,
-0.04213560000061989,
0.055683284997940063,
0.049770526587963104,
0.003672154853120446,
-0.02765507623553276,
0.04282446578145027,
0.028530508279800415,
0.03361089155077934,
-0.044345710426568985,
0.013404172845184803,
-0.018656771630048752,
-0.01723598688840866,
0.014480524696409702,
-0.002794927917420864,
-0.03757186606526375,
0.000460140552604571,
0.004204949364066124,
-0.0239524245262146,
-0.024024181067943573,
0.0039035705849528313,
-0.012952105142176151,
0.008072641678154469,
-0.02451212704181671,
-0.04242262616753578,
0.02851615659892559,
-0.047244686633348465,
0.06004609912633896,
-0.007175681181252003,
0.005668788217008114,
-0.02854485996067524,
-0.0007287801126949489,
0.027181480079889297,
0.004341287072747946,
-0.04776133596897125,
-0.007089572958648205,
0.006246430333703756,
-0.012399577535688877,
-0.030195266008377075,
0.033122945576906204,
0.018326690420508385,
0.02762637287378311,
0.017996609210968018,
-0.011911630630493164,
0.0166762825101614,
0.030711915343999863,
0.030568402260541916,
0.0031196274794638157,
0.04945479705929756,
-0.04494846612215042,
0.042279113084077835,
-0.02432555891573429,
-0.06389226764440536,
0.019101664423942566,
0.014387240633368492,
-0.007548816502094269,
0.006928120274096727,
0.026277344673871994,
-0.04423090070486069,
-0.021283071488142014,
-0.03587840497493744,
0.022703856229782104,
-0.06521259248256683,
-0.0038641043938696384,
0.0259903185069561,
-0.03375440463423729,
-0.012299117632210255,
0.04635490104556084,
-0.03745705634355545,
-0.010749170556664467,
0.03076932206749916,
0.014315484091639519,
0.028401346877217293,
0.06974761933088303,
0.023407071828842163,
0.043513331562280655,
-0.04615398123860359,
-0.005037328228354454,
-0.0006041026790626347,
-0.02564588561654091,
-0.008919372223317623,
-0.017623472958803177,
0.06940318644046783,
0.012385225854814053,
-0.028688373044133186,
-0.03315164893865585,
0.001784950727596879,
-0.004438159056007862,
-0.00423006433993578,
0.04118841141462326,
0.042652249336242676,
-0.017035067081451416,
0.005528862588107586,
-0.021412232890725136,
0.05258339270949364,
0.03332386538386345,
-0.019044257700443268,
-0.004212124738842249,
-0.028932346031069756,
-0.05508052930235863,
0.01354768592864275,
-0.002979701617732644,
-0.02647826448082924,
-0.01228476595133543,
-0.02555977739393711,
0.02145528793334961,
0.007107512094080448,
0.0036183372139930725,
0.014738849364221096,
-0.02167055755853653,
0.01174659002572298,
-0.0010135649936273694,
0.016532769426703453,
0.00572619354352355,
-0.07032167911529541,
-0.05502312257885933,
0.014351362362504005,
0.04457533359527588,
-0.019001204520463943,
0.003060427960008383,
0.02013496123254299,
0.021842774003744125,
-0.05671658366918564,
0.005514510907232761,
0.014250903390347958,
-0.023593639954924583,
0.011739414185285568,
0.03286461904644966,
-0.0070716338232159615,
-0.04202079027891159,
-0.02792775072157383,
0.015054578892886639,
0.031458187848329544,
0.029477698728442192,
0.0040506720542907715,
-0.011122305877506733,
-0.0396384634077549,
-0.037715379148721695,
0.03085543029010296,
-0.011660481803119183,
-0.023909369483590126,
0.029032805934548378,
-0.011466738767921925,
0.026650480926036835,
-0.03163040429353714,
0.24248062074184418,
0.04629749432206154,
0.012435455806553364,
0.019216474145650864,
0.009550832211971283,
0.04070046544075012,
0.02016366459429264,
-0.055137936025857925,
-0.0040076179429888725,
-0.03458678349852562,
0.009471898898482323,
-0.03220445662736893,
0.0030891308560967445,
-0.007477059960365295,
0.022617748007178307,
0.04905295744538307,
-0.012708131223917007,
-0.02016366459429264,
0.056458260864019394,
0.0056939031928777695,
-0.08002319931983948,
0.004710834939032793,
-0.008388371206820011,
0.010749170556664467,
0.012055144645273685,
0.008481655269861221,
0.0018764405976980925,
-0.00022693091887049377,
-0.016590174287557602,
0.010210994631052017,
-0.03972456976771355,
-0.01194750890135765,
0.02078077383339405,
0.0028720663394778967,
-0.01032580528408289,
0.00722949905321002,
0.020938638597726822,
0.013031037524342537,
-0.021928882226347923,
-0.012241711840033531,
-0.010182291269302368,
-0.0014656329294666648,
-0.01562863402068615,
-0.022488584741950035,
0.008933722972869873,
0.07732514292001724,
0.0374283529818058,
-0.05002884939312935,
0.00472518615424633,
-0.03986808657646179,
0.08943769335746765,
-0.03909311071038246,
-0.010397561825811863,
0.011294522322714329,
-0.0999428853392601,
0.013318064622581005,
0.023320963606238365,
0.010426265187561512,
0.01828363537788391,
0.007146978750824928,
0.04491976648569107,
0.013109969906508923,
-0.041073597967624664,
0.0498853363096714,
-0.026377804577350616,
0.04331241175532341,
-0.035132136195898056,
0.001725751324556768,
-0.011818347498774529,
0.00832379050552845,
-0.028961049392819405,
-0.040556952357292175,
-0.01017511636018753,
0.003568107495084405,
0.06280156224966049,
0.015155038796365261,
-0.029649915173649788,
0.0519806370139122,
-0.0032290564849972725,
-0.003092718543484807,
0.03871997445821762,
0.011538495309650898,
-0.04402998089790344,
-0.01012488640844822,
0.031515590846538544,
0.07279010862112045,
-0.027195831760764122,
-0.02567458711564541,
0.04664192721247673,
-0.0016961516812443733,
0.009421669878065586,
0.022187206894159317,
-0.007129039149731398,
-0.023966776207089424,
-0.01742255501449108
] |
1210_6 | According to Eusebius of Caesarea in the Praeparatio Evangelica (Book XV, Chapter 53), Eratosthenes found the distance to the Sun to be "σταδιων μυριαδας τετρακοσιας και οκτωκισμυριας" (literally "of stadia myriads 400 and ) but with the additional note that in the Greek text the grammatical agreement is between myriads (not stadia) on the one hand and both 400 and on the other, as in Greek, unlike English, all three (or all four if one were to include stadia) words are inflected. This has been translated either as stadia (1903 translation by Edwin Hamilton Gifford), or as stadia (edition of , dated 1974–1991). Using the Greek stadium of 185 to 190 metres, the former translation comes to to , which is far too low, whereas the second translation comes to 148.7 to 152.8 million kilometres (accurate within 2%). Hipparchus also gave an estimate of the distance of Earth from the Sun, quoted by Pappus as equal to 490 Earth radii. According to the conjectural reconstructions of Noel Swerdlow and G. J. Toomer, this was derived from his assumption of a "least perceptible" solar parallax of .
A Chinese mathematical treatise, the Zhoubi Suanjing (c. 1st century BCE), shows how the distance to the Sun can be computed geometrically, using the different lengths of the noontime shadows observed at three places li apart and the assumption that Earth is flat. | [
-0.004166424740105867,
-0.0037650889717042446,
0.06935080885887146,
-0.05937528610229492,
-0.0376620888710022,
0.04321732372045517,
-0.0022381464950740337,
-0.0017313435673713684,
-0.002964284271001816,
0.03963330015540123,
0.03852823004126549,
-0.01605342887341976,
-0.038856763392686844,
-0.007966980338096619,
-0.04046957194805145,
-0.030344713479280472,
-0.03787115961313248,
0.0033245531376451254,
-0.06242170184850693,
0.014007549732923508,
0.01904011331498623,
0.031808190047740936,
-0.07723566144704819,
-0.02692496031522751,
0.014179283753037453,
0.012476873584091663,
0.05716513842344284,
0.018159041181206703,
0.06385531276464462,
0.050295766443014145,
0.04429252818226814,
-0.0028224168345332146,
0.0312705859541893,
-0.006365370936691761,
0.02410254254937172,
0.014500352554023266,
0.03360019996762276,
-0.0575832761824131,
0.014545152895152569,
-0.05474592372775078,
0.028015099465847015,
-0.018845979124307632,
0.00661177234724164,
-0.013589413836598396,
-0.005372298415750265,
0.027402829378843307,
-0.014716886915266514,
-0.033002860844135284,
-0.01520222332328558,
-0.013201144523918629,
0.020428922027349472,
-0.002661882434040308,
0.012521673925220966,
-0.03981250151991844,
0.00800431426614523,
-0.01143153477460146,
0.010811797343194485,
-0.009363255463540554,
-0.031210850924253464,
0.01893557980656624,
0.02810470014810562,
0.010020325891673565,
0.012163272127509117,
-0.050743766129016876,
0.012581408023834229,
-0.0006108703091740608,
0.03267432749271393,
-0.013029410503804684,
0.016307296231389046,
0.011364334262907505,
0.028881238773465157,
0.023355871438980103,
0.04282905533909798,
-0.026700958609580994,
-0.003164018737152219,
-0.013066744431853294,
-0.01745717041194439,
-0.012671008706092834,
-0.0027869497425854206,
0.0280300322920084,
0.00007805046334397048,
0.013305678963661194,
-0.013096611015498638,
-0.007996847853064537,
-0.02513294853270054,
-0.03443647176027298,
0.012932343408465385,
0.03109138458967209,
-0.02251959964632988,
-0.005450699012726545,
0.033182062208652496,
0.01866677775979042,
0.008631518110632896,
0.006186170037835836,
0.024087609723210335,
-0.01618782989680767,
0.015993695706129074,
0.03324179723858833,
0.013567013666033745,
0.0526253804564476,
0.02048865519464016,
0.052147507667541504,
-0.028209233656525612,
0.0654083862900734,
-0.04184344783425331,
0.031838055700063705,
-0.02562575228512287,
-0.0023874808102846146,
0.03536234423518181,
-0.044262662529945374,
0.019816650077700615,
0.006891774013638496,
0.025984153151512146,
0.024595346301794052,
0.05125150457024574,
0.07365163415670395,
-0.04677147790789604,
-0.005428298842161894,
-0.026850292459130287,
0.007698178756982088,
0.003964823670685291,
-0.010886464267969131,
-0.006264570634812117,
0.050086695700883865,
0.012394740246236324,
-0.019712116569280624,
-0.0006729373126290739,
0.013216078281402588,
-0.03416766971349716,
-0.018129173666238785,
0.02011531963944435,
-0.013761147856712341,
-0.021324926987290382,
-0.023236405104398727,
-0.00159507617354393,
0.03106151707470417,
0.03963330015540123,
0.026715891435742378,
0.018338242545723915,
-0.04393412545323372,
-0.0028261500410735607,
-0.001383208204060793,
-0.011849670670926571,
0.08135728538036346,
-0.03437673673033714,
0.019891317933797836,
-0.007944580167531967,
0.0649305209517479,
-0.05340191721916199,
0.019503049552440643,
-0.028074832633137703,
-0.04686107859015465,
-0.039274901151657104,
-0.0007280043209902942,
-0.013484880328178406,
0.011999004520475864,
0.013880616053938866,
-0.024222010746598244,
0.007597378455102444,
0.03282365947961807,
0.00001900219649542123,
-0.017277969047427177,
-0.029732443392276764,
0.02338573895394802,
0.002658148994669318,
0.06588625907897949,
-0.06439291685819626,
-0.057523541152477264,
0.014433152042329311,
-0.02613348886370659,
0.013320612721145153,
-0.035033807158470154,
-0.02107105776667595,
0.0027757498901337385,
0.007937113754451275,
0.06636412441730499,
-0.010378728620707989,
-0.054566722363233566,
-0.024610279127955437,
0.002721616066992283,
-0.007638445124030113,
0.00030916850664652884,
0.02080225758254528,
0.02861243672668934,
0.012581408023834229,
-0.011439001187682152,
-0.029284439980983734,
0.00786991324275732,
-0.017681172117590904,
-0.016710499301552773,
0.023818807676434517,
0.04229145124554634,
0.006738706491887569,
0.020996391773223877,
-0.027119094505906105,
-0.011483801528811455,
-0.04282905533909798,
0.011117932386696339,
-0.026387356221675873,
-0.059793420135974884,
-0.02338573895394802,
0.03348073363304138,
-0.003113618353381753,
0.049847763031721115,
-0.032763928174972534,
-0.017860373482108116,
0.02520761638879776,
0.07359190285205841,
-0.021772928535938263,
0.014866221696138382,
0.04796615242958069,
0.000910005415789783,
-0.0013374745612964034,
0.027417762205004692,
0.04324718937277794,
-0.005159497261047363,
-0.06128676235675812,
0.042201850563287735,
-0.048234954476356506,
0.032076988369226456,
0.016232630237936974,
0.05426805466413498,
0.0034664205741137266,
0.01114033255726099,
0.02069772221148014,
-0.007854979485273361,
-0.0038677563425153494,
0.06666279584169388,
-0.00014046749856788665,
0.014970755204558372,
-0.020861990749835968,
-0.013820881955325603,
-0.0036288215778768063,
-0.013216078281402588,
0.027522295713424683,
-0.00029866842669434845,
0.02723856084048748,
0.047189611941576004,
-0.040439706295728683,
0.017307836562395096,
0.01566515862941742,
-0.010602729395031929,
0.07526444643735886,
-0.006772306747734547,
0.006264570634812117,
0.07269589602947235,
0.04136557877063751,
0.020070519298315048,
0.007395777385681868,
0.021295059472322464,
-0.03443647176027298,
0.020100384950637817,
0.031628988683223724,
-0.062242504209280014,
-0.07729539275169373,
-0.008982453495264053,
0.015933960676193237,
0.0367063507437706,
-0.036795951426029205,
-0.07866926491260529,
-0.005387232173234224,
-0.011453934945166111,
0.04208238422870636,
-0.013940349221229553,
0.023594805970788002,
0.018203841522336006,
0.01143153477460146,
0.02940390817821026,
0.041962914168834686,
0.019338781014084816,
-0.03058364801108837,
-0.013148877769708633,
-0.08153648674488068,
-0.019159579649567604,
-0.048055753111839294,
-0.04617413878440857,
0.016755299642682076,
-0.03133031725883484,
0.03058364801108837,
-0.023340938612818718,
-0.018741443753242493,
-0.011782470159232616,
-0.020996391773223877,
-0.01708383485674858,
-0.015127556398510933,
0.036347948014736176,
0.016381964087486267,
0.02871697023510933,
-0.010572862811386585,
0.03697515279054642,
-0.03130045160651207,
-0.03449620306491852,
0.0014205417828634381,
-0.04844402149319649,
0.03267432749271393,
-0.03697515279054642,
0.02758203074336052,
0.05131123587489128,
0.015500891953706741,
-0.07395030558109283,
-0.0029269505757838488,
0.005514165852218866,
-0.01866677775979042,
0.03150951862335205,
-0.0016520097851753235,
0.008489650674164295,
-0.022922802716493607,
-0.012678475119173527,
0.0096768569201231,
-0.02613348886370659,
-0.02699962630867958,
0.020189985632896423,
-0.020428922027349472,
0.02186252921819687,
-0.06779773533344269,
0.010386195033788681,
-0.008549383841454983,
-0.0025349482893943787,
-0.015276890248060226,
-0.07586178183555603,
0.013679014518857002,
-0.0475778803229332,
0.003541087731719017,
-0.018547309562563896,
-0.011506201699376106,
0.01379101537168026,
0.026297755539417267,
-0.030046043917536736,
-0.0007144709234125912,
-0.0043232254683971405,
-0.05399925261735916,
-0.014507818967103958,
-0.019159579649567604,
-0.001129340031184256,
-0.014679553918540478,
-0.016202762722969055,
-0.025491351261734962,
0.010042726062238216,
0.022952670231461525,
-0.045128799974918365,
0.027328161522746086,
-0.04339652508497238,
-0.009400589391589165,
0.04485999792814255,
-0.01224540639668703,
0.0020496121142059565,
0.018442776054143906,
0.029194839298725128,
-0.006201103329658508,
0.020996391773223877,
-0.032524991780519485,
-0.006238436792045832,
0.008302982896566391,
0.032763928174972534,
-0.03802049160003662,
0.03849836066365242,
0.038587961345911026,
-0.017307836562395096,
-0.043963994830846786,
-0.001705210073851049,
0.013701414689421654,
0.04157464578747749,
0.047816816717386246,
-0.005107230506837368,
-0.006686439737677574,
-0.020294521003961563,
-0.007280043326318264,
-0.008019247092306614,
0.024162275716662407,
-0.021817728877067566,
-0.012469407171010971,
0.03473513945937157,
-0.05629900097846985,
0.018786244094371796,
0.010595262981951237,
0.018517443910241127,
0.048234954476356506,
0.0175915714353323,
0.022818269208073616,
-0.028985772281885147,
-0.029120173305273056,
-0.003044551471248269,
0.009124320931732655,
0.001674409955739975,
0.014418219216167927,
-0.0010332061210647225,
0.002111212583258748,
0.010886464267969131,
-0.033420998603105545,
-0.04981789365410805,
-0.012200606055557728,
0.030016178265213966,
0.00657817255705595,
-0.02145932801067829,
-0.009325921535491943,
-0.008989919908344746,
0.0461442731320858,
0.0031229518353939056,
-0.026611357927322388,
-0.014858754351735115,
-0.0034309537149965763,
0.027163894847035408,
-0.00756004499271512,
0.03159911930561066,
-0.009654457680881023,
0.001724810223095119,
-0.013216078281402588,
0.07263616472482681,
-0.00614510290324688,
0.009870992042124271,
-0.037034887820482254,
0.0020888124126940966,
0.003052018117159605,
-0.018129173666238785,
0.026984693482518196,
0.003893889719620347,
-0.016068361699581146,
-0.027940431609749794,
-0.001969344913959503,
0.005189364310353994,
-0.027119094505906105,
0.008512050844728947,
0.004069357644766569,
0.05788194388151169,
0.003283486235886812,
-0.03539220988750458,
-0.019084913656115532,
-0.0807599425315857,
0.021444393321871758,
-0.010804330930113792,
-0.009198987856507301,
0.004756294656544924,
-0.05567179620265961,
0.031180985271930695,
-0.04303812235593796,
0.043306924402713776,
0.026596425101161003,
-0.026223089545965195,
0.020548388361930847,
-0.04769735038280487,
0.020234785974025726,
0.046502675861120224,
-0.02262413501739502,
-0.010976064950227737,
0.013746215030550957,
0.03336126357316971,
0.04142531380057335,
0.015695026144385338,
-0.03757248818874359,
-0.0051930975168943405,
0.009564856998622417,
-0.05107230320572853,
0.02130999229848385,
-0.03990210220217705,
-0.016650766134262085,
0.02641722373664379,
0.03156925365328789,
-0.034078069031238556,
-0.0006687372806482017,
-0.00480482866987586,
0.0003073018160648644,
0.021653462201356888,
0.002120545832440257,
0.003957356791943312,
-0.023818807676434517,
0.03309246152639389,
-0.03831915929913521,
0.004786161705851555,
0.01721823588013649,
-0.013469946570694447,
0.026805492118000984,
-0.0007592711481265724,
-0.007336043287068605,
0.011035799048841,
0.0223553329706192,
-0.04575600475072861,
-0.026432156562805176,
-0.008967519737780094,
0.014619819819927216,
-0.00840004999190569,
0.05719500407576561,
0.020876923575997353,
0.01890571229159832,
-0.01827850751578808,
-0.003697888692840934,
-0.03646741807460785,
0.010550462640821934,
0.03413780406117439,
-0.03784129023551941,
0.010378728620707989,
-0.04996722936630249,
0.008601650595664978,
-0.015605425462126732,
-0.046472810208797455,
-0.011401667259633541,
-0.050982702523469925,
-0.028985772281885147,
-0.026327623054385185,
-0.00013720081187784672,
0.011132866144180298,
0.019652383401989937,
0.010304060764610767,
-0.01040112879127264,
0.020563321188092232,
-0.014164350926876068,
-0.0515800379216671,
-0.03303273022174835,
-0.0265516247600317,
0.04608453810214996,
0.04530800133943558,
0.043993860483169556,
0.007265109568834305,
0.04235118627548218,
0.03401833400130272,
0.03506367281079292,
0.050773635506629944,
0.059554487466812134,
-0.021563861519098282,
0.011327000334858894,
0.04480026662349701,
0.024595346301794052,
-0.044949598610401154,
-0.03778155893087387,
-0.014112083241343498,
0.010692330077290535,
-0.021504128351807594,
0.007862446829676628,
0.005547766108065844,
-0.051191769540309906,
-0.04515866935253143,
-0.012215538881719112,
-0.06439291685819626,
-0.05313311517238617,
-0.04256025329232216,
-0.035750612616539,
-0.030255112797021866,
0.019846517592668533,
0.01674036681652069,
-0.000886671943590045,
0.009714190848171711,
-0.0833284929394722,
0.031240718439221382,
-0.0035765545908361673,
0.006940308026969433,
-0.03440660238265991,
-0.0003257352509535849,
-0.014119550585746765,
0.031240718439221382,
-0.01842784322798252,
-0.014365951530635357,
-0.025909487158060074,
0.01745717041194439,
0.001899344613775611,
-0.03649728372693062,
0.01544115785509348,
-0.038408759981393814,
-0.009206454269587994,
-0.03978263586759567,
-0.007705645635724068,
0.02004065178334713,
0.018726510927081108,
0.05892728269100189,
0.004005890339612961,
-0.052117642015218735,
0.0062160370871424675,
0.021787863224744797,
-0.00187041109893471,
0.01608329452574253,
0.028746837750077248,
-0.014754220843315125,
0.0008068714523687959,
0.020204920321702957,
0.055492594838142395,
0.03828929364681244,
-0.020996391773223877,
-0.016725432127714157,
-0.048503752797842026,
-0.03336126357316971,
-0.02947857417166233,
-0.005342431832104921,
0.01853237673640251,
-0.034974075853824615,
-0.014418219216167927,
-0.059285685420036316,
0.02747749537229538,
0.012939809821546078,
0.017277969047427177,
0.06731986254453659,
0.0088181858882308,
0.022340398281812668,
-0.030792715027928352,
0.023251337930560112,
0.01566515862941742,
0.03171858936548233,
0.011543534696102142,
-0.03377940133213997,
-0.02014518529176712,
0.023251337930560112,
0.045785870403051376,
-0.052744846791028976,
-0.01745717041194439,
0.009034720249474049,
0.02328120544552803,
0.0025386817287653685,
0.03706475347280502,
0.008877919055521488,
-0.041962914168834686,
-0.04928029328584671,
0.03467540442943573,
0.06767826527357101,
-0.0016622765688225627,
0.04644294083118439,
-0.01904011331498623,
0.007612311746925116,
-0.006077902857214212,
0.04817521944642067,
-0.04844402149319649,
-0.001926411408931017,
0.035003941506147385,
0.02059318870306015,
-0.02737296186387539,
0.02352013997733593,
0.02386360801756382,
-0.06761853396892548,
-0.022340398281812668,
-0.01732276938855648,
0.025476418435573578,
0.006914174184203148,
-0.03368980064988136,
-0.00736217712983489,
0.013746215030550957,
-0.03449620306491852,
-0.011715269647538662,
0.024819348007440567,
0.03147965297102928,
0.004689094610512257,
0.02968764305114746,
-0.0027906831819564104,
-0.03473513945937157,
0.012730741873383522,
0.07454764097929001,
0.03019537962973118,
-0.008131247945129871,
-0.05447712168097496,
-0.01532169058918953,
0.006574438884854317,
0.0062347035855054855,
0.04880242422223091,
0.01040112879127264,
0.013693948276340961,
0.026163354516029358,
0.05444725602865219,
0.019951051101088524,
-0.017740905284881592,
-0.02947857417166233,
0.03539220988750458,
-0.0006015368853695691,
-0.05447712168097496,
-0.01361928042024374,
0.07735512405633926,
-0.019771849736571312,
0.0029418841004371643,
-0.00571576738730073,
-0.017845438793301582,
0.026402289047837257,
0.012006470933556557,
-0.017307836562395096,
0.009430455975234509,
-0.01208860520273447,
-0.018099308013916016,
-0.02562575228512287,
-0.009340855292975903,
-0.027537230402231216,
-0.011267267167568207,
0.0034738872200250626,
-0.04052930697798729,
-0.0176363717764616,
0.03219645842909813,
0.052147507667541504,
0.013940349221229553,
0.09682830423116684,
-0.01605342887341976,
-0.003244285937398672,
-0.022579334676265717,
-0.004065623972564936,
-0.04969842731952667,
-0.032734062522649765,
-0.018293442204594612,
-0.008273115381598473,
-0.0015474758110940456,
0.015149956569075584,
-0.01780063845217228,
0.03150951862335205,
-0.006074169185012579,
0.041992783546447754,
0.03404820337891579,
-0.021205458790063858,
-0.05349151790142059,
0.04790641739964485,
-0.040409840643405914,
0.023505205288529396,
0.07287509739398956,
0.04067864269018173,
-0.02151906117796898,
-0.02782096527516842,
-0.023221470415592194,
0.02083212323486805,
0.03915543109178543,
0.06731986254453659,
-0.05140083655714989,
0.02710415981709957,
-0.05017629638314247,
-0.015366490930318832,
-0.032734062522649765,
-0.050056830048561096,
0.0018676110776141286,
0.005006429739296436,
0.008078981190919876,
-0.03509354218840599,
0.01177500281482935,
0.0724569633603096,
0.01972704939544201,
-0.014694486744701862,
0.012148338370025158,
0.021922264248132706,
-0.019652383401989937,
0.019786784425377846,
0.013051810674369335,
0.03398846834897995,
0.012073671445250511,
0.0005040029645897448,
0.017472103238105774,
0.004890695679932833,
0.03449620306491852,
0.0002578348503448069,
-0.004293358884751797,
-0.020996391773223877,
-0.03945409879088402,
-0.016172895208001137,
-0.04238105192780495,
-0.02462521195411682,
0.006298170890659094,
-0.012021404691040516,
-0.007309909909963608,
-0.033869002014398575,
-0.11367321014404297,
0.035750612616539,
-0.058389678597450256,
-0.05116190388798714,
0.009505122900009155,
0.004472559783607721,
0.001965611707419157,
0.03213672339916229,
-0.042410917580127716,
0.031419917941093445,
-0.00025036814622581005,
-0.023027336224913597,
0.02940390817821026,
0.026148421689867973,
-0.014746754430234432,
0.027253495529294014,
-0.022952670231461525,
-0.04184344783425331,
-0.03333139792084694,
-0.016755299642682076,
-0.04617413878440857,
-0.033659931272268295,
0.02865723706781864,
0.020055586472153664,
0.018338242545723915,
0.008616584353148937,
-0.04291865602135658,
-0.008788318373262882,
0.04160451516509056,
-0.04775708168745041,
0.004394159186631441,
0.006906707771122456,
-0.027402829378843307,
-0.02823910117149353,
-0.0451885350048542,
0.008482183329761028,
0.0511021688580513,
0.022504666820168495,
0.05349151790142059,
-0.033450864255428314,
-0.030732981860637665,
0.04575600475072861,
0.06170490011572838,
-0.0004377359291538596,
-0.010490728542208672,
0.028627369552850723,
0.01724810153245926,
0.03799062594771385,
-0.0347052738070488,
-0.021892396733164787,
-0.033182062208652496,
-0.015605425462126732,
-0.0023520139511674643,
-0.033898867666721344,
-0.003356286557391286,
0.005152030382305384,
-0.021892396733164787,
-0.00031056851730681956,
0.003262952668592334,
-0.0407085083425045,
-0.009482722729444504,
-0.0035242876037955284,
-0.010184593498706818,
-0.015306757763028145,
0.03437673673033714,
-0.07000788301229477,
0.02723856084048748,
-0.03324179723858833,
0.0048570954240858555,
-0.008586717769503593,
-0.00981125794351101,
0.04005143791437149,
-0.053730450570583344,
0.0018032107036560774,
-0.022892935201525688,
-0.02248973399400711,
0.0066603063605725765,
0.01793503947556019,
0.015232089906930923,
0.02172812819480896,
0.03058364801108837,
0.026073753833770752,
-0.015209689736366272,
0.03351059928536415,
0.025984153151512146,
0.0367063507437706,
-0.02362467348575592,
0.011073132045567036,
0.0052117640152573586,
0.027731364592909813,
-0.02562575228512287,
-0.0649305209517479,
0.003753888886421919,
-0.018263574689626694,
-0.008862986229360104,
-0.0332716628909111,
0.0402306392788887,
-0.026223089545965195,
0.009243788197636604,
-0.008295515552163124,
-0.008437382988631725,
0.007750445976853371,
-0.0005600033327937126,
0.009669390507042408,
-0.030673248693346977,
-0.00642137136310339,
0.05068403482437134,
-0.00386028946377337,
0.011745136231184006,
0.013469946570694447,
0.02929937280714512,
0.03106151707470417,
0.016680631786584854,
0.014365951530635357,
0.03351059928536415,
-0.02035425417125225,
-0.006626706104725599,
0.008116315118968487,
-0.010445928201079369,
0.008833118714392185,
-0.0022400133311748505,
0.0471000112593174,
-0.006245903670787811,
-0.030732981860637665,
-0.01718836836516857,
0.021190525963902473,
-0.0034178870264440775,
-0.025252416729927063,
-0.013357945717871189,
0.010080059990286827,
-0.010162193328142166,
0.027462562546133995,
-0.015336624346673489,
0.047637615352869034,
0.004849628545343876,
-0.022235864773392677,
-0.004226158373057842,
-0.07138175517320633,
-0.027806032449007034,
-0.04584560543298721,
-0.008332849480211735,
-0.05172937363386154,
-0.015232089906930923,
-0.01256647426635027,
0.010841663926839828,
0.00728377653285861,
0.027148960158228874,
0.02080225758254528,
-0.03736342117190361,
0.042440783232450485,
0.02483428083360195,
-0.011117932386696339,
0.023370806127786636,
-0.034555938094854355,
-0.04922055825591087,
-0.01048326212912798,
0.02417721040546894,
-0.0218326635658741,
0.015000622719526291,
0.026521757245063782,
0.019129713997244835,
-0.041305843740701675,
0.008407516404986382,
0.008974986150860786,
-0.01361928042024374,
0.004633094184100628,
0.0033805533312261105,
-0.00649230508133769,
-0.03106151707470417,
-0.02871697023510933,
0.009960592724382877,
0.02895590476691723,
0.021369727328419685,
-0.015993695706129074,
-0.038587961345911026,
-0.026073753833770752,
-0.02555108442902565,
0.01131206750869751,
-0.015396357513964176,
-0.017785705626010895,
0.05600033327937126,
0.020399054512381554,
0.03383913263678551,
-0.06113743036985397,
0.2637839615345001,
0.045815739780664444,
0.011588335037231445,
-0.0218326635658741,
0.0012488074135035276,
0.03897622972726822,
0.01690463349223137,
-0.03691541776061058,
-0.0035336208529770374,
-0.019234247505664825,
-0.012185672298073769,
-0.0019357447745278478,
-0.01901024580001831,
0.025356950238347054,
0.013581947423517704,
0.0750255137681961,
-0.02958310954272747,
-0.02101132459938526,
0.02552121877670288,
-0.022743601351976395,
-0.06164516508579254,
-0.012693408876657486,
-0.004969096276909113,
0.010460861958563328,
0.013335545547306538,
-0.00007799213199177757,
0.023684406653046608,
-0.03805035725235939,
-0.03697515279054642,
-0.00022318465926218778,
-0.03963330015540123,
0.00941552221775055,
0.00788484700024128,
-0.022773468866944313,
-0.0053013646975159645,
-0.017681172117590904,
0.003841622732579708,
-0.006447504740208387,
-0.02696976065635681,
-0.015209689736366272,
-0.020503588020801544,
0.007336043287068605,
-0.026745758950710297,
-0.035690877586603165,
0.05196830630302429,
0.06439291685819626,
0.007974447682499886,
-0.020951591432094574,
-0.0237889401614666,
-0.06212303414940834,
0.05564193055033684,
-0.02172812819480896,
0.010871531441807747,
-0.03742315620183945,
-0.033211931586265564,
-0.010789397172629833,
0.02169826254248619,
0.023744141682982445,
0.016247563064098358,
0.04232131689786911,
-0.004819761961698532,
-0.01260380819439888,
-0.004868295509368181,
0.037691958248615265,
-0.02840336784720421,
0.06929107755422592,
-0.007056041620671749,
0.008325383067131042,
-0.035033807158470154,
0.014746754430234432,
-0.025058282539248466,
-0.04611440747976303,
-0.02272866852581501,
0.012267805635929108,
0.03843862935900688,
0.03029991313815117,
-0.002458414528518915,
0.014970755204558372,
-0.026252955198287964,
0.017068902030587196,
0.007354710251092911,
-0.0008040714310482144,
-0.005290164612233639,
-0.01222300622612238,
0.015500891953706741,
0.06403451412916183,
-0.001577342743985355,
0.016620898619294167,
-0.020742522552609444,
0.037273820489645004,
-0.00354295433498919,
0.028567636385560036,
-0.013253412209451199,
-0.04954909533262253,
-0.03942423313856125
] |
1210_7 | In the 2nd century CE, Ptolemy estimated the mean distance of the Sun as times Earth's radius. To determine this value, Ptolemy started by measuring the Moon's parallax, finding what amounted to a horizontal lunar parallax of 1° 26′, which was much too large. He then derived a maximum lunar distance of Earth radii. Because of cancelling errors in his parallax figure, his theory of the Moon's orbit, and other factors, this figure was approximately correct. He then measured the apparent sizes of the Sun and the Moon and concluded that the apparent diameter of the Sun was equal to the apparent diameter of the Moon at the Moon's greatest distance, and from records of lunar eclipses, he estimated this apparent diameter, as well as the apparent diameter of the shadow cone of Earth traversed by the Moon during a lunar eclipse. Given these data, the distance of the Sun from Earth can be trigonometrically computed to be Earth radii. This gives a ratio of solar to lunar distance of approximately 19, matching Aristarchus's figure. Although Ptolemy's procedure is theoretically workable, it is very sensitive to small changes in the data, so much so that changing a measurement by a few per cent can make the solar distance infinite.
After Greek astronomy was transmitted to the medieval Islamic world, astronomers made some changes to Ptolemy's cosmological model, but did not greatly change his estimate of the Earth–Sun distance. For example, in his introduction to Ptolemaic astronomy, al-Farghānī gave a mean solar distance of Earth radii, whereas in his zij, al-Battānī used a mean solar distance of Earth radii. Subsequent astronomers, such as al-Bīrūnī, used similar values. Later in Europe, Copernicus and Tycho Brahe also used comparable figures ( and Earth radii), and so Ptolemy's approximate Earth–Sun distance survived through the 16th century. | [
0.003249873872846365,
0.056839779019355774,
0.0562235526740551,
-0.08539172261953354,
-0.03424471989274025,
0.06332485377788544,
-0.04049504175782204,
-0.018956374377012253,
0.010182448662817478,
0.05029601603746414,
0.06801993399858475,
-0.04228504002094269,
-0.04680405184626579,
-0.03298291936516762,
-0.038969140499830246,
0.0037230495363473892,
-0.009184745140373707,
-0.0000634454409009777,
-0.05986223742365837,
-0.017327770590782166,
0.02903611958026886,
0.045688971877098083,
-0.06000895798206329,
-0.026409810408949852,
-0.00508022028952837,
0.007988967932760715,
0.05261421203613281,
0.0033965951297432184,
0.04152208939194679,
0.049650441855192184,
0.03952668234705925,
0.004247577860951424,
0.027612924575805664,
-0.03709110990166664,
0.03248406574130058,
0.006778517737984657,
0.019103096798062325,
-0.05666371434926987,
0.00453735189512372,
-0.041668809950351715,
0.02633645012974739,
0.008715237490832806,
0.019763341173529625,
-0.018457522615790367,
0.042138319462537766,
0.026761941611766815,
0.023666124790906906,
-0.032308001071214676,
-0.021876126527786255,
-0.01256666798144579,
0.017327770590782166,
0.02507464773952961,
0.009514867328107357,
-0.03274816647171974,
-0.003691871417686343,
-0.0045520244166255,
0.021274568513035774,
-0.007145320996642113,
-0.03095816634595394,
0.01873629353940487,
0.03984946757555008,
-0.004034832119941711,
0.01290412712842226,
-0.016784900799393654,
-0.016975639387965202,
0.03940930590033531,
0.011040767654776573,
0.002547446172684431,
0.010167776606976986,
0.0001017878093989566,
0.003314064349979162,
0.029681691899895668,
0.04257848113775253,
-0.018574899062514305,
-0.01201646402478218,
-0.01299949549138546,
-0.00371204549446702,
0.012375930324196815,
0.019117768853902817,
0.01609531231224537,
0.013131544925272465,
0.004929831251502037,
-0.061740268021821976,
0.0080183120444417,
0.006367698777467012,
-0.04454454779624939,
0.02620439976453781,
0.05543125793337822,
-0.005593744572252035,
-0.0015075600240379572,
0.02052629180252552,
0.02797972597181797,
-0.00019245690782554448,
-0.0017927492735907435,
0.02196415886282921,
-0.017459819093346596,
0.005648764781653881,
0.03160373866558075,
0.030371282249689102,
0.051557816565036774,
0.009786302223801613,
0.07682320475578308,
-0.023534074425697327,
0.019822029396891594,
-0.024825220927596092,
0.039761435240507126,
-0.04463258013129234,
0.0035653244704008102,
0.033481769263744354,
-0.0465986430644989,
0.042871925979852676,
0.002043092157691717,
0.017635883763432503,
0.01270605344325304,
0.017665227875113487,
0.05193929374217987,
-0.051645852625370026,
0.02500128746032715,
0.006180629134178162,
-0.012728061527013779,
-0.008487819693982601,
0.008913311176002026,
-0.00258962856605649,
0.03899848461151123,
0.0047941142693161964,
-0.00420722970739007,
-0.008935319259762764,
-0.016418099403381348,
-0.020951783284544945,
-0.05974486097693443,
0.00034777502878569067,
-0.034948982298374176,
-0.019836701452732086,
-0.018824325874447823,
0.010505235753953457,
0.028595956042408943,
0.029138823971152306,
0.02547079510986805,
-0.004471327643841505,
-0.05865912139415741,
0.012133840471506119,
-0.016520803794264793,
0.006191633176058531,
0.08556778728961945,
-0.03591734170913696,
0.028522595763206482,
-0.028933415189385414,
0.06097731739282608,
-0.02778898924589157,
0.0018982051406055689,
-0.038176849484443665,
-0.04222635179758072,
-0.017738590016961098,
0.0033965951297432184,
-0.008069664239883423,
-0.013373634777963161,
0.00458870455622673,
-0.0036441870033740997,
0.006653804797679186,
-0.022154895588755608,
0.00592019921168685,
-0.005113232880830765,
-0.018428178504109383,
0.023005878552794456,
-0.010974743403494358,
0.04612913355231285,
-0.04897552728652954,
-0.057573385536670685,
0.0016524471575394273,
-0.018574899062514305,
0.030987510457634926,
-0.0350957028567791,
-0.010769333690404892,
-0.01597793586552143,
0.03439144045114517,
0.05537256971001625,
0.00046263018157333136,
-0.03970274701714516,
-0.02495727129280567,
-0.017855966463685036,
-0.002211821498349309,
-0.009067367762327194,
0.002569454489275813,
0.03362848982214928,
0.0036075066309422255,
0.021274568513035774,
-0.03958537057042122,
0.020350225269794464,
0.028155792504549026,
-0.011979782953858376,
0.002039424143731594,
0.024385057389736176,
-0.012581340037286282,
-0.009360810741782188,
-0.019088424742221832,
-0.013028839603066444,
-0.03615209460258484,
0.014349330216646194,
-0.01012376043945551,
-0.05311306193470955,
-0.008121016435325146,
0.027862349525094032,
0.0019257153617218137,
0.05739732086658478,
-0.0019220473477616906,
-0.020482275635004044,
0.03450881689786911,
0.03902783244848251,
-0.03753127530217171,
0.03688570111989975,
0.015743181109428406,
0.007317718118429184,
0.0381181575357914,
0.020100800320506096,
0.02605767920613289,
-0.033364392817020416,
-0.06197502091526985,
0.026307106018066406,
-0.04190356656908989,
0.017738590016961098,
0.03412734344601631,
0.033481769263744354,
0.00445298757404089,
0.02156801149249077,
-0.011026095598936081,
-0.003778069978579879,
-0.003066472476348281,
0.07154124230146408,
0.0063346861861646175,
0.021744076162576675,
-0.010916055180132389,
0.011884414590895176,
-0.015596460551023483,
-0.02850792370736599,
0.03166242688894272,
0.0017844962421804667,
0.02684997394680977,
0.02831718511879444,
-0.03858766704797745,
0.02271243743598461,
0.027495546266436577,
-0.02071702852845192,
0.05152847245335579,
0.0012819762341678143,
0.03439144045114517,
0.07823172956705093,
0.04128733649849892,
0.02790636569261551,
-0.005450691562145948,
0.06367698311805725,
-0.05472699552774429,
0.05237945541739464,
0.030341938138008118,
-0.06091862916946411,
-0.06837206333875656,
0.040348321199417114,
-0.020511619746685028,
-0.008568516001105309,
0.025778908282518387,
-0.0941362977027893,
-0.02192014269530773,
-0.008370442315936089,
0.035271767526865005,
-0.0191471129655838,
-0.004221901763230562,
0.0060155680403113365,
0.024326369166374207,
0.039174553006887436,
0.03908652067184448,
0.010923391208052635,
-0.06684616208076477,
-0.02724612131714821,
-0.049591753631830215,
-0.020335553213953972,
-0.02329932153224945,
-0.056516993790864944,
0.0072883740067481995,
-0.029916446655988693,
0.028214480727910995,
-0.02830251306295395,
-0.011114128865301609,
-0.0007922943332232535,
-0.05390535667538643,
0.01681424491107464,
0.01875096559524536,
0.03723783418536186,
0.01491420716047287,
0.03512504696846008,
-0.010666629299521446,
0.047801755368709564,
-0.01029982604086399,
-0.04495536535978317,
-0.019880717620253563,
-0.030107183381915092,
0.02158268354833126,
-0.008810605853796005,
0.025617515668272972,
0.042461104691028595,
0.04841798543930054,
-0.05273158848285675,
0.006022904068231583,
0.042666517198085785,
-0.017709244042634964,
0.026688581332564354,
0.013615724630653858,
-0.014892198145389557,
-0.018574899062514305,
0.006804194301366806,
0.024311697110533714,
-0.021421290934085846,
-0.010050400160253048,
0.017107687890529633,
-0.049650441855192184,
0.05951010435819626,
-0.05070683732628822,
0.019910061731934547,
0.026219071820378304,
-0.005791818257421255,
-0.004739093594253063,
-0.044896677136421204,
-0.003539648139849305,
-0.031779803335666656,
0.00029413009178824723,
-0.008612532168626785,
-0.03861701115965843,
0.06819599866867065,
0.007849582470953465,
-0.03186783939599991,
-0.01455473992973566,
-0.009837654419243336,
-0.05692781135439873,
0.011994455009698868,
-0.034215375781059265,
0.012163184583187103,
-0.024575795978307724,
-0.035741277039051056,
0.008480483666062355,
-0.00039866892620921135,
-0.014224616810679436,
-0.03891045227646828,
0.03175045922398567,
-0.05845371261239052,
0.0034846276976168156,
0.047009460628032684,
-0.008641877211630344,
0.016388755291700363,
0.02303522266447544,
0.009940358810126781,
-0.013901830650866032,
0.0447206124663353,
-0.055930107831954956,
0.015126951970160007,
-0.011598308570683002,
0.053553227335214615,
-0.021758750081062317,
0.03459685295820236,
0.0038550987374037504,
-0.0124052744358778,
-0.0443391352891922,
-0.009522203356027603,
-0.01596326380968094,
0.012199864722788334,
0.017239736393094063,
0.00897933542728424,
-0.049122247844934464,
0.003961471375077963,
0.008810605853796005,
-0.006763845682144165,
0.02500128746032715,
-0.022873830050230026,
0.00468774139881134,
0.011055439710617065,
-0.03629881516098976,
-0.0037707339506596327,
0.03662160411477089,
0.048476673662662506,
0.04973847419023514,
0.03714979812502861,
0.012515315786004066,
-0.04369356483221054,
-0.03826488181948662,
-0.016154000535607338,
-0.008876631036400795,
-0.003891778877004981,
-0.025588171556591988,
0.0015451572835445404,
-0.012287897989153862,
-0.012031136080622673,
-0.018780309706926346,
-0.04771372303366661,
-0.028097104281187057,
0.027099398896098137,
0.004871142562478781,
-0.025368090718984604,
-0.02184678241610527,
-0.037707339972257614,
0.009368146769702435,
-0.015449739061295986,
-0.014606092125177383,
-0.025118663907051086,
-0.024311697110533714,
0.007182001136243343,
0.001061894465237856,
0.037384554743766785,
-0.003073808504268527,
0.025162680074572563,
-0.037589963525533676,
0.05047208070755005,
0.008751917630434036,
-0.034479472786188126,
-0.022154895588755608,
-0.0236807968467474,
0.0008500657859258354,
-0.010336506180465221,
-0.00552405184134841,
-0.0009124222560785711,
-0.011502939276397228,
-0.008201713673770428,
-0.02500128746032715,
0.007871590554714203,
-0.01624203287065029,
-0.0053773308172822,
-0.01270605344325304,
0.036533571779727936,
-0.014261297881603241,
-0.04152208939194679,
-0.02448776364326477,
-0.08580254018306732,
0.02077571675181389,
0.0360347181558609,
0.015053591690957546,
-0.02302055060863495,
-0.02329932153224945,
0.02949095517396927,
0.0023732148110866547,
-0.016858262941241264,
0.05780813843011856,
-0.019323177635669708,
0.01892703026533127,
-0.05748535320162773,
0.02507464773952961,
0.0518806055188179,
-0.0134910112246871,
-0.0045006717555224895,
0.025250712409615517,
0.02830251306295395,
0.023064566776156425,
0.018296130001544952,
0.0037890742532908916,
-0.006884890608489513,
-0.026703253388404846,
-0.02256571501493454,
0.03069406747817993,
-0.0426371730864048,
-0.004592372570186853,
0.033687181770801544,
0.021553339436650276,
-0.06115338206291199,
-0.010505235753953457,
0.007005935534834862,
0.013138880953192711,
0.026571203023195267,
-0.013388306833803654,
-0.04307733476161957,
-0.033951278775930405,
0.025456123054027557,
-0.03239603340625763,
0.02077571675181389,
0.031779803335666656,
-0.03324701637029648,
0.029608331620693207,
-0.0026868314016610384,
0.003877106821164489,
-0.008920647203922272,
0.019689980894327164,
-0.06438124924898148,
-0.017855966463685036,
-0.00860519614070654,
-0.009419498965144157,
-0.0034167692065238953,
-0.0013149884762242436,
0.002008246025070548,
0.0012645530514419079,
-0.01828145794570446,
-0.0003363124269526452,
-0.029725708067417145,
-0.007673516869544983,
0.003877106821164489,
-0.02660054713487625,
0.021670715883374214,
-0.0632074773311615,
-0.003348910715430975,
-0.031368985772132874,
-0.02052629180252552,
-0.00493349926546216,
-0.024825220927596092,
-0.04982651025056839,
-0.042930614203214645,
0.016447443515062332,
-0.02652718685567379,
0.0243410412222147,
0.038030125200748444,
-0.06625927984714508,
0.018706949427723885,
0.003880774835124612,
-0.08310286700725555,
-0.023402025923132896,
-0.02910947985947132,
0.018824325874447823,
0.0009009596542455256,
0.031515706330537796,
-0.0030297921039164066,
-0.01847219467163086,
0.0013003163039684296,
0.0020559304393827915,
0.041815534234046936,
0.05833633616566658,
0.004471327643841505,
0.025646859779953957,
0.04310667887330055,
0.01986604556441307,
-0.06085994094610214,
-0.00019394703849684447,
0.002413563197478652,
-0.007350730709731579,
0.02117186412215233,
-0.0080183120444417,
0.005839502438902855,
-0.03673898056149483,
-0.03741389885544777,
-0.03248406574130058,
-0.04706814885139465,
-0.05930469557642937,
-0.020702356472611427,
-0.05628224089741707,
-0.025309400632977486,
0.040876518934965134,
-0.008575852029025555,
-0.006404378917068243,
-0.021626699715852737,
-0.04973847419023514,
0.006485075689852238,
-0.014870190061628819,
0.02329932153224945,
-0.010637284256517887,
-0.017137032002210617,
0.015567115508019924,
0.0592460073530674,
-0.03133964166045189,
-0.036915045231580734,
-0.012229209765791893,
0.005832166410982609,
-0.023446042090654373,
-0.015053591690957546,
0.0008734494331292808,
-0.02975505217909813,
0.00805499218404293,
0.003987147938460112,
-0.03195587173104286,
-0.0019238813547417521,
0.01296281535178423,
0.05299568548798561,
0.008847285993397236,
-0.03307095170021057,
0.002074270509183407,
0.014151256531476974,
-0.00020082459377590567,
-0.011062775738537312,
0.02805308811366558,
0.012610684148967266,
-0.0002052950148936361,
0.0027932042721658945,
0.032102592289447784,
0.021421290934085846,
-0.013388306833803654,
-0.023519402369856834,
-0.0447206124663353,
-0.023930221796035767,
-0.03937996178865433,
-0.004262249916791916,
0.00679685827344656,
-0.03497832641005516,
-0.030928822234272957,
-0.020937111228704453,
0.002516268054023385,
-0.034156687557697296,
-0.004460323601961136,
0.024253008887171745,
0.016315393149852753,
0.0272607933729887,
-0.02488390915095806,
0.019939405843615532,
0.0037322198040783405,
0.019968751817941666,
0.033364392817020416,
-0.026835301890969276,
-0.016931623220443726,
-0.004720753524452448,
0.010343842208385468,
-0.04307733476161957,
-0.02316727302968502,
0.052496835589408875,
0.02831718511879444,
-0.009984375908970833,
0.03644553944468498,
-0.006437391042709351,
-0.04498470947146416,
0.005861510522663593,
0.03048865869641304,
0.05411076545715332,
0.010637284256517887,
0.040348321199417114,
0.019704652950167656,
-0.03154505044221878,
0.02890406921505928,
0.01475281361490488,
-0.05252617970108986,
0.007900934666395187,
0.02673259750008583,
0.01220720075070858,
0.0037927422672510147,
-0.009566220454871655,
-0.002791370265185833,
-0.05607683211565018,
0.0035194740630686283,
-0.022859157994389534,
0.016652852296829224,
0.022668421268463135,
-0.02699669450521469,
0.0023512067273259163,
0.000454377121059224,
-0.0017423138488084078,
0.03477291762828827,
0.049797166138887405,
0.032894887030124664,
-0.02324063330888748,
0.00124529586173594,
-0.005579072516411543,
-0.03668029233813286,
-0.003979811444878578,
0.09889006614685059,
0.0032517078798264265,
-0.026967350393533707,
-0.05951010435819626,
-0.020540963858366013,
0.033100295811891556,
-0.016124656423926353,
0.04316536709666252,
0.0025070980191230774,
-0.011370890773832798,
0.03016587160527706,
0.05478568375110626,
0.023137928918004036,
-0.02020350471138954,
-0.023387353867292404,
0.05587141960859299,
0.0166968684643507,
-0.06109469383955002,
-0.0054140109568834305,
0.08110745996236801,
-0.009302121587097645,
0.0022063194774091244,
0.00776888569816947,
-0.04454454779624939,
0.017635883763432503,
0.01481150183826685,
-0.022683093324303627,
0.041932910680770874,
-0.019015062600374222,
-0.03128095343708992,
-0.040348321199417114,
-0.02817046456038952,
-0.01722506433725357,
-0.0031416669953614473,
-0.0010325502371415496,
-0.03990815579891205,
-0.01663818024098873,
0.02910947985947132,
0.06532026082277298,
0.04401635006070137,
0.04909290373325348,
-0.01854555495083332,
0.02605767920613289,
-0.03456750884652138,
-0.010087080299854279,
-0.05220339074730873,
-0.052819620817899704,
-0.01134888269007206,
0.0066317967139184475,
-0.012067816220223904,
0.017181048169732094,
-0.051176343113183975,
0.03946799412369728,
-0.005582740530371666,
0.05631158500909805,
0.034215375781059265,
-0.02394489385187626,
-0.044456515461206436,
0.04601175710558891,
-0.025573499500751495,
0.02448776364326477,
0.02633645012974739,
0.0011636823182925582,
-0.014224616810679436,
-0.008671221323311329,
-0.026747269555926323,
0.029945790767669678,
0.03706176578998566,
0.058101583272218704,
-0.04824192076921463,
0.05079486966133118,
-0.034156687557697296,
0.001241627847775817,
-0.05807223916053772,
-0.011099455878138542,
0.008084336295723915,
0.032425377517938614,
0.02494259923696518,
-0.033100295811891556,
0.002417231211438775,
0.055724699050188065,
0.02316727302968502,
0.015992607921361923,
-0.02243366651237011,
0.023079238831996918,
-0.009265441447496414,
0.009082040749490261,
0.017518507316708565,
0.029138823971152306,
-0.0013232415076345205,
0.0013791789533570409,
0.029270872473716736,
0.006701489444822073,
0.03709110990166664,
-0.01880965381860733,
-0.00986699853092432,
0.01079134177416563,
0.0025217700749635696,
-0.04172750189900398,
-0.05217404663562775,
-0.005527719855308533,
0.0004814288404304534,
0.009382818825542927,
-0.01701965555548668,
-0.036416195333004,
-0.08861958235502243,
0.002257671905681491,
-0.05346519500017166,
-0.06860681623220444,
0.04577700421214104,
-0.003310396336019039,
0.02764226868748665,
0.05035470426082611,
-0.05014929547905922,
0.0037285517901182175,
0.016462115570902824,
-0.005505711771547794,
0.026248417794704437,
0.03330570459365845,
-0.049327656626701355,
0.027539562433958054,
-0.0133956428617239,
-0.024502435699105263,
-0.037589963525533676,
-0.00714165298268199,
-0.019367193803191185,
-0.0434001199901104,
-0.018266785889863968,
0.03626947104930878,
0.037179142236709595,
-0.016652852296829224,
-0.031779803335666656,
-0.016330065205693245,
0.043987005949020386,
-0.03386324644088745,
-0.0008280575857497752,
0.004929831251502037,
-0.016579492017626762,
0.01920580118894577,
-0.0545215867459774,
0.011796382255852222,
0.04947437718510628,
0.005083888303488493,
0.017401130869984627,
-0.02956431545317173,
-0.032308001071214676,
0.05475633963942528,
0.03512504696846008,
0.016520803794264793,
-0.0005547894397750497,
0.010006383992731571,
0.026248417794704437,
0.04454454779624939,
-0.06502681970596313,
0.013967854902148247,
0.005245281849056482,
-0.031633082777261734,
0.0075488039292395115,
-0.028537267819046974,
-0.024297025054693222,
0.01960194855928421,
-0.00878126174211502,
0.002773029962554574,
-0.015376378782093525,
0.009206753224134445,
0.017650555819272995,
0.021685387939214706,
-0.021685387939214706,
-0.03879307582974434,
0.03920389711856842,
-0.007009604014456272,
0.05971551686525345,
0.016124656423926353,
0.006785854231566191,
-0.010057736188173294,
-0.014635436236858368,
0.06420518457889557,
-0.041081927716732025,
0.011693676933646202,
-0.013138880953192711,
-0.029711036011576653,
0.02341669797897339,
0.003024290082976222,
0.04084717482328415,
0.04542487487196922,
0.04897552728652954,
0.013931174762547016,
-0.0019293833756819367,
-0.009258105419576168,
0.025089319795370102,
0.0014488715678453445,
-0.028463905677199364,
0.0188683420419693,
0.001497472869232297,
0.06420518457889557,
0.0019348853966221213,
-0.07969893515110016,
0.04727356135845184,
0.00831175409257412,
-0.0193378496915102,
-0.008421795442700386,
0.024047600105404854,
-0.026967350393533707,
-0.014994903467595577,
-0.02567620389163494,
-0.004005488008260727,
-0.027627596631646156,
-0.010189784690737724,
-0.018838997930288315,
-0.02395956590771675,
-0.025969646871089935,
0.04771372303366661,
-0.004944503307342529,
0.014708797447383404,
0.009111384861171246,
0.006690485402941704,
0.03216128051280975,
0.006422718986868858,
0.020511619746685028,
0.02203751914203167,
-0.013850478455424309,
0.004874810576438904,
0.012544659897685051,
0.007259029895067215,
0.02613103948533535,
-0.017004983499646187,
0.0947231873869896,
0.006558435969054699,
-0.05537256971001625,
-0.06420518457889557,
0.020350225269794464,
0.001370925921946764,
-0.010241137817502022,
0.01553777139633894,
0.013102199882268906,
-0.01656481996178627,
0.011290193535387516,
-0.049533065408468246,
0.01847219467163086,
0.033481769263744354,
-0.004144873004406691,
-0.0006409881170839071,
-0.016080640256404877,
0.003818418364971876,
-0.04844732955098152,
-0.030371282249689102,
-0.009500195272266865,
0.0075488039292395115,
-0.02303522266447544,
0.03248406574130058,
0.01569916494190693,
0.002523604081943631,
0.017445147037506104,
-0.03016587160527706,
0.01296281535178423,
0.00883994996547699,
0.0003402097208891064,
0.0044419835321605206,
-0.08779794722795486,
-0.02731948159635067,
-0.02803841605782509,
0.03254275396466255,
0.00694357929751277,
0.030048495158553123,
0.029667019844055176,
0.036856357008218765,
-0.04205028712749481,
-0.0005199431325308979,
-0.0023695467971265316,
-0.030664723366498947,
0.03483160585165024,
0.010615276172757149,
-0.052760932594537735,
-0.0076881893910467625,
-0.023856861516833305,
-0.004309934098273516,
0.015214985236525536,
0.03486094996333122,
-0.007310382090508938,
-0.034743573516607285,
-0.018794981762766838,
-0.04703880473971367,
0.007754213642328978,
-0.021347930654883385,
-0.01966063678264618,
0.022609731182456017,
0.010945399291813374,
0.04313602298498154,
-0.06455731391906738,
0.252829909324646,
0.04571831598877907,
0.01461342815309763,
-0.021259896457195282,
0.02699669450521469,
0.04249044880270958,
-0.012485971674323082,
-0.043194711208343506,
-0.005083888303488493,
-0.028273168951272964,
-0.005204933229833841,
-0.028992103412747383,
-0.0007794562261551619,
0.007959622889757156,
0.030664723366498947,
0.0456596277654171,
-0.027950381860136986,
-0.04862339422106743,
0.05243814364075661,
-0.024517107754945755,
-0.058776501566171646,
0.009214089252054691,
-0.04381094127893448,
-0.021069159731268883,
0.02646849863231182,
-0.004977515432983637,
0.005791818257421255,
-0.04777241125702858,
-0.018208097666502,
0.0025841265451163054,
-0.019103096798062325,
0.009456179104745388,
-0.010285153985023499,
0.010255809873342514,
0.020893095061182976,
0.009610236622393131,
0.031310297548770905,
0.016667524352669716,
-0.005113232880830765,
-0.023974237963557243,
0.009133392944931984,
0.018266785889863968,
-0.02409161627292633,
-0.001187524409033358,
0.01735711470246315,
0.052291423082351685,
0.027216777205467224,
-0.023974237963557243,
-0.01690227910876274,
-0.05522584915161133,
0.05422814190387726,
-0.028801364824175835,
0.020878423005342484,
-0.024443747475743294,
-0.07306714355945587,
0.03805946931242943,
0.020937111228704453,
0.031515706330537796,
-0.007563475985080004,
0.021656043827533722,
0.01992473378777504,
-0.03145701810717583,
-0.03122226521372795,
0.03515439108014107,
-0.001684542396105826,
0.030459314584732056,
-0.005707453470677137,
-0.00018775725038722157,
-0.010901383124291897,
0.045953068882226944,
-0.018765637651085854,
-0.04639323428273201,
-0.028654644265770912,
0.008700565434992313,
0.033892590552568436,
0.026175055652856827,
-0.035007670521736145,
0.03694438934326172,
-0.0059752194210886955,
0.01388715859502554,
0.014591420069336891,
0.01782662235200405,
-0.0035836645402014256,
0.012794085778295994,
0.013931174762547016,
0.04592372477054596,
-0.018985718488693237,
0.005637760739773512,
0.00224483385682106,
-0.010761997662484646,
0.0025749565102159977,
-0.027744973078370094,
-0.007361734751611948,
-0.015816541388630867,
0.016403427347540855
] |
1210_8 | Johannes Kepler was the first to realize that Ptolemy's estimate must be significantly too low (according to Kepler, at least by a factor of three) in his Rudolphine Tables (1627). Kepler's laws of planetary motion allowed astronomers to calculate the relative distances of the planets from the Sun, and rekindled interest in measuring the absolute value for Earth (which could then be applied to the other planets). The invention of the telescope allowed far more accurate measurements of angles than is possible with the naked eye. Flemish astronomer Godefroy Wendelin repeated Aristarchus’ measurements in 1635, and found that Ptolemy's value was too low by a factor of at least eleven.
A somewhat more accurate estimate can be obtained by observing the transit of Venus. By measuring the transit in two different locations, one can accurately calculate the parallax of Venus and from the relative distance of Earth and Venus from the Sun, the solar parallax (which cannot be measured directly due to the brightness of the Sun). Jeremiah Horrocks had attempted to produce an estimate based on his observation of the 1639 transit (published in 1662), giving a solar parallax of , similar to Wendelin's figure. The solar parallax is related to the Earth–Sun distance as measured in Earth radii by
The smaller the solar parallax, the greater the distance between the Sun and Earth: a solar parallax of is equivalent to an Earth–Sun distance of Earth radii.
Christiaan Huygens believed that the distance was even greater: by comparing the apparent sizes of Venus and Mars, he estimated a value of about Earth radii, equivalent to a solar parallax of . Although Huygens' estimate is remarkably close to modern values, it is often discounted by historians of astronomy because of the many unproven (and incorrect) assumptions he had to make for his method to work; the accuracy of his value seems to be based more on luck than good measurement, with his various errors cancelling each other out. | [
0.003741428256034851,
0.037565041333436966,
0.05162619426846504,
-0.07260025292634964,
-0.038594625890254974,
0.04580169916152954,
-0.025621889159083366,
-0.029622551053762436,
0.017046939581632614,
0.03750620782375336,
0.030799217522144318,
-0.05400894209742546,
-0.020135685801506042,
-0.007390929386019707,
-0.03244654834270477,
-0.013921421952545643,
-0.01610560715198517,
-0.014105276204645634,
-0.055450357496738434,
0.010141384787857533,
0.02344505861401558,
0.01916493847966194,
-0.07589491456747055,
-0.039947789162397385,
-0.018341271206736565,
0.0035759597085416317,
0.08101341128349304,
0.029519593343138695,
0.05289110913872719,
0.07118825614452362,
0.050478946417570114,
-0.0319758802652359,
0.022915558889508247,
-0.04083028808236122,
0.017694106325507164,
0.02300380915403366,
0.003156772581860423,
-0.04733136668801308,
0.010773842222988605,
-0.06801126152276993,
0.048743363469839096,
0.0025666013825684786,
0.022768475115299225,
-0.012149070389568806,
0.05692118778824806,
0.00031852698884904385,
0.00554871279746294,
-0.03591771051287651,
0.022591974586248398,
-0.01912081241607666,
-0.004504422191530466,
0.002776194829493761,
0.006894523743540049,
-0.038535792380571365,
-0.006045118439942598,
-0.010781196877360344,
0.008692615665495396,
-0.007067346479743719,
-0.019915061071515083,
0.0310051329433918,
0.019944477826356888,
-0.008251366205513477,
0.009957530535757542,
-0.03468221426010132,
-0.022606683894991875,
0.029019510373473167,
0.0018799068639054894,
-0.003813131246715784,
-0.01819418929517269,
-0.003813131246715784,
0.01782648079097271,
0.031093383207917213,
0.04844919592142105,
-0.015061317011713982,
-0.008052803575992584,
-0.01954735442996025,
-0.013539006002247334,
-0.0022669194731861353,
0.01701752282679081,
0.008273428305983543,
0.0005363939562812448,
0.006228972226381302,
-0.061010099947452545,
0.041506871581077576,
-0.0011233477853238583,
-0.011148904450237751,
0.0394182913005352,
0.03953595831990242,
0.014009672217071056,
-0.012310861609876156,
0.03597654402256012,
0.038535792380571365,
0.006423857528716326,
-0.015443732962012291,
0.02635730430483818,
-0.010303176008164883,
-0.010023718699812889,
0.05059661343693733,
0.027254512533545494,
0.042801205068826675,
0.0007115148473531008,
0.07830708473920822,
-0.0219742264598608,
0.056156355887651443,
-0.01301686093211174,
0.0355352945625782,
-0.03959479182958603,
0.01576731540262699,
0.0361824594438076,
-0.048096198588609695,
0.041830454021692276,
0.011751946061849594,
0.004224963951855898,
0.004868452902883291,
0.01091357134282589,
0.054420772939920425,
-0.04827269911766052,
0.0050964318215847015,
-0.018488354980945587,
0.015737900510430336,
-0.006331930868327618,
-0.0022209559101611376,
0.008935302495956421,
0.04406611993908882,
0.007203398272395134,
0.004691953305155039,
-0.037565041333436966,
-0.009229469113051891,
-0.0008503245771862566,
-0.07401224970817566,
0.007203398272395134,
-0.0413597896695137,
-0.031093383207917213,
0.006865106988698244,
0.0077806999906897545,
0.01239911187440157,
0.03409387916326523,
0.016885148361325264,
-0.0073651899583637714,
-0.0574801042675972,
-0.013083048164844513,
-0.04824328050017357,
-0.016517439857125282,
0.08360207825899124,
-0.04891986399888992,
0.05639168992638588,
-0.029887301847338676,
0.027989927679300308,
-0.019856227561831474,
0.0025518930051475763,
-0.01916493847966194,
-0.009633948095142841,
-0.013612547889351845,
0.015531983226537704,
0.009817801415920258,
-0.023562723770737648,
0.005945837125182152,
-0.006692284252494574,
0.010031072422862053,
-0.004026401787996292,
-0.010251697152853012,
-0.013928776606917381,
-0.012318216264247894,
0.015679067000746727,
-0.005589160602539778,
0.035035211592912674,
-0.04665478318929672,
-0.043448369950056076,
0.012362340465188026,
-0.019591478630900383,
0.015105442143976688,
-0.017811771482229233,
-0.01625269092619419,
0.0005920097464695573,
0.031093383207917213,
0.04347778484225273,
0.0003343844146002084,
-0.045183949172496796,
-0.009994301944971085,
-0.02031218633055687,
0.007905720733106136,
-0.013340444304049015,
-0.003511610673740506,
0.05206744372844696,
0.011288633570075035,
-0.023253850638866425,
-0.016193857416510582,
-0.004280120134353638,
0.031152216717600822,
-0.04438970237970352,
0.008163115940988064,
0.017649980261921883,
-0.008310199715197086,
0.013208068907260895,
-0.019959187135100365,
-0.010053134523332119,
-0.015164275653660297,
0.0027063305024057627,
0.0002112022484652698,
-0.036535460501909256,
-0.0010305014438927174,
0.04862569645047188,
-0.01982681266963482,
0.04174220561981201,
-0.02312147431075573,
-0.0319758802652359,
0.04271295294165611,
0.043448369950056076,
-0.03777096047997475,
0.024430515244603157,
0.007284294348210096,
0.01209759060293436,
0.010626759380102158,
-0.022386059165000916,
0.006206910125911236,
0.014436213299632072,
-0.04450736939907074,
0.025033555924892426,
-0.04936111345887184,
-0.014965713024139404,
0.04612528160214424,
0.009391260333359241,
0.010134031064808369,
0.0358588770031929,
0.00525454618036747,
-0.004886838607490063,
-0.029622551053762436,
0.0768950805068016,
-0.0013531652512028813,
0.020488686859607697,
-0.023047933354973793,
0.007387252524495125,
0.002634627278894186,
-0.027313346043229103,
0.035241127014160156,
-0.01798827201128006,
0.012252028100192547,
0.021091727539896965,
-0.001690537203103304,
0.0014478500233963132,
0.025474805384874344,
0.0037303969729691744,
0.045831117779016495,
0.01982681266963482,
0.02673972025513649,
0.06289276480674744,
0.03824162483215332,
0.02473939023911953,
0.01245059072971344,
0.07112942636013031,
-0.09383906424045563,
0.0322994664311409,
0.022106600925326347,
-0.05256752669811249,
-0.043507203459739685,
0.03680020943284035,
0.011634279042482376,
-0.008582303300499916,
0.021532976999878883,
-0.09648656100034714,
-0.03765329346060753,
0.017267564311623573,
0.010023718699812889,
-0.02872534468770027,
-0.015105442143976688,
0.012627090327441692,
0.02571013942360878,
0.045301616191864014,
0.0493905283510685,
-0.011759299784898758,
-0.04386020079255104,
-0.024930598214268684,
-0.054303109645843506,
0.0028258354868739843,
-0.024812931194901466,
-0.04180103912949562,
0.003934475127607584,
-0.019370853900909424,
0.009229469113051891,
-0.024709973484277725,
-0.0306815505027771,
-0.025577763095498085,
-0.006769503001123667,
0.01588498242199421,
0.008214595727622509,
0.014899525791406631,
0.018782520666718483,
0.04818444699048996,
-0.029504884034395218,
0.009001490660011768,
0.005758306477218866,
-0.06065710261464119,
-0.016561565920710564,
0.005313379690051079,
-0.00109025405254215,
-0.013759630732238293,
0.017429355531930923,
0.05795077234506607,
0.028769468888640404,
-0.06283393502235413,
-0.003040944691747427,
0.0034619702491909266,
-0.010067842900753021,
0.03977128863334656,
0.019841520115733147,
-0.0284164696931839,
-0.010281113907694817,
0.000980860902927816,
-0.009141218848526478,
-0.01339927688241005,
-0.03500579670071602,
0.01250206958502531,
-0.02835763618350029,
0.0378003753721714,
-0.036859042942523956,
0.005243515130132437,
0.02138589322566986,
-0.007438731379806995,
-0.020062144845724106,
-0.024504056200385094,
-0.03418213129043579,
-0.03215238079428673,
-0.0182530228048563,
-0.006059826817363501,
-0.027886969968676567,
0.05156736075878143,
-0.013862589374184608,
-0.02500413917005062,
-0.0052876402623951435,
-0.016488023102283478,
-0.059598103165626526,
0.038271043449640274,
-0.032976046204566956,
0.0306815505027771,
-0.0018771489849314094,
-0.038918208330869675,
0.027666345238685608,
0.001888180267997086,
0.002259565284475684,
-0.05718593671917915,
0.05542093887925148,
-0.0613631010055542,
-0.0003231233567930758,
0.025916054844856262,
-0.03527054563164711,
0.023798057809472084,
0.00939861498773098,
0.015414316207170486,
0.0012465298641473055,
0.03862404078245163,
-0.04462503641843796,
-0.007390929386019707,
-0.017046939581632614,
0.04030079022049904,
-0.005306025501340628,
0.05174386128783226,
0.03212296590209007,
0.0005658105947077274,
-0.03862404078245163,
-0.006971742492169142,
0.019370853900909424,
0.03727087751030922,
0.036594294011592865,
-0.012222611345350742,
-0.03441746160387993,
0.006997481919825077,
-0.01172252930700779,
-0.025592472404241562,
0.03150521591305733,
-0.014237651601433754,
0.029019510373473167,
0.0381239578127861,
-0.030975716188549995,
-0.022562559694051743,
0.01166369579732418,
0.04368370398879051,
0.0345645472407341,
0.01001636404544115,
0.017355814576148987,
-0.0014248682418838143,
-0.01118567492812872,
-0.031622882932424545,
-0.02445993199944496,
-0.0018697947962209582,
-0.01739993877708912,
-0.0005993639351800084,
-0.034593962132930756,
0.0028865071944892406,
-0.0329466313123703,
-0.062657430768013,
-0.0007574783521704376,
0.016767481341958046,
0.00650843046605587,
-0.0200327280908823,
-0.04209520295262337,
-0.030916882678866386,
-0.003945506177842617,
-0.015796732157468796,
-0.005853910464793444,
-0.011288633570075035,
0.005666379351168871,
0.020621061325073242,
-0.0008792816079221666,
0.04386020079255104,
0.00413303729146719,
0.018650146201252937,
-0.038006290793418884,
0.05497968941926956,
0.0272839292883873,
-0.029887301847338676,
-0.01739993877708912,
-0.022621391341090202,
0.034329213201999664,
-0.03785920888185501,
0.009633948095142841,
-0.02047397755086422,
0.007677741814404726,
-0.010376717895269394,
-0.01570848375558853,
0.003546542953699827,
-0.038977041840553284,
-0.00029186817118898034,
-0.002722877310588956,
0.06406942754983902,
-0.004901546984910965,
-0.03983012214303017,
-0.010523800738155842,
-0.05968635156750679,
0.034593962132930756,
0.027239803224802017,
0.006177493371069431,
-0.024783514440059662,
-0.005166296381503344,
0.025298306718468666,
-0.011450424790382385,
-0.012024049647152424,
0.056950606405735016,
0.006251034792512655,
0.057980187237262726,
-0.03547646105289459,
0.033299632370471954,
0.05989226698875427,
-0.01414940133690834,
-0.014002318494021893,
0.04438970237970352,
0.02484234794974327,
0.028916552662849426,
0.004217610228806734,
-0.019459104165434837,
-0.009060323238372803,
-0.03300546482205391,
-0.06995275616645813,
0.04891986399888992,
-0.03185821697115898,
-0.0010424519423395395,
0.03624129295349121,
0.03671196103096008,
-0.06954092532396317,
-0.01728227362036705,
0.0005350150167942047,
-0.0052177757024765015,
0.03371146321296692,
-0.017694106325507164,
-0.020282769575715065,
-0.018017688766121864,
0.02657792903482914,
-0.04483095183968544,
0.0355352945625782,
0.045301616191864014,
-0.02696034498512745,
0.020768143236637115,
0.0015829827170819044,
-0.005460462998598814,
-0.03565296158194542,
0.026695596054196358,
-0.026548512279987335,
-0.024709973484277725,
-0.010656176134943962,
-0.012590319849550724,
0.013413985259830952,
0.04800794646143913,
0.04824328050017357,
-0.009678073227405548,
-0.02067989483475685,
0.006729055196046829,
-0.03759445995092392,
-0.008935302495956421,
0.02447463944554329,
-0.0516556091606617,
0.007354158908128738,
-0.07324741780757904,
-0.009861926548182964,
-0.04341895133256912,
-0.005795076955109835,
-0.008082220330834389,
-0.03371146321296692,
-0.07907191663980484,
-0.0008645732887089252,
0.006765826139599085,
-0.0049530258402228355,
0.0045963493175804615,
0.032858382910490036,
-0.043566036969423294,
0.01047967653721571,
0.0012051627272740006,
-0.08148407936096191,
-0.006868784315884113,
-0.02712213806807995,
0.029048927128314972,
0.007343127392232418,
0.01831185445189476,
0.022003643214702606,
-0.013274256139993668,
-0.003485871246084571,
-0.017164606600999832,
0.022915558889508247,
0.05698002129793167,
-0.0033351110760122538,
0.01614973321557045,
0.03518229350447655,
0.04056553915143013,
-0.047184281051158905,
-0.029357802122831345,
0.0013182329712435603,
-0.020562227815389633,
0.0063356077298521996,
0.007431377191096544,
-0.00804544985294342,
-0.029946133494377136,
-0.03703554347157478,
-0.0197091456502676,
-0.04509570077061653,
-0.04474269971251488,
-0.022812601178884506,
-0.05445019155740738,
-0.023150891065597534,
0.06130426749587059,
0.003404975403100252,
-0.009861926548182964,
-0.026107262820005417,
-0.05421485751867294,
0.0026125649455934763,
-0.023739224299788475,
0.0010681916028261185,
-0.015237816609442234,
-0.013193360529839993,
-0.024445222690701485,
0.059009768068790436,
-0.029240135103464127,
-0.042212869971990585,
-0.022327225655317307,
-0.0036586939822882414,
0.03824162483215332,
-0.024180473759770393,
-0.018944311887025833,
-0.036329545080661774,
-0.0143700260668993,
0.028048761188983917,
0.001036936417222023,
0.011700466275215149,
0.023842182010412216,
0.053008776158094406,
-0.011582800187170506,
-0.041624538600444794,
0.001201485632918775,
-0.009545697830617428,
0.011634279042482376,
-0.0012658345513045788,
0.02878417633473873,
0.006357670295983553,
0.005567098036408424,
-0.0070268986746668816,
0.018723687157034874,
0.0313287153840065,
-0.04953761398792267,
-0.04159511998295784,
-0.05768601968884468,
-0.031358134001493454,
0.004033755976706743,
-0.011031238362193108,
0.018811937421560287,
-0.008641136810183525,
-0.008052803575992584,
-0.061598435044288635,
0.005272931884974241,
-0.01136952918022871,
0.002020555082708597,
0.02619551308453083,
0.013605193234980106,
0.01988564431667328,
-0.04721369966864586,
0.0189001876860857,
0.0037947457749396563,
0.04056553915143013,
0.016223274171352386,
-0.02285672537982464,
-0.01409792248159647,
-0.011560737155377865,
0.04044787213206291,
-0.026930928230285645,
-0.02512180618941784,
0.0565093569457531,
0.014855400659143925,
-0.00867055356502533,
0.029210718348622322,
0.00537589006125927,
-0.03150521591305733,
0.0034178453497588634,
0.045066285878419876,
0.05412660911679268,
0.026827970519661903,
0.043889619410037994,
0.021209394559264183,
-0.02587193064391613,
0.011303341947495937,
0.029725508764386177,
-0.05774485319852829,
0.02560717985033989,
0.02976963482797146,
-0.008221949450671673,
-0.01831185445189476,
0.01512015052139759,
0.021562393754720688,
-0.02928425930440426,
0.006574617698788643,
0.010060489177703857,
-0.01118567492812872,
0.022974392399191856,
-0.031946465373039246,
-0.0032597307581454515,
0.011987278237938881,
-0.00418819347396493,
-0.0014257875736802816,
0.04321303591132164,
-0.006004670634865761,
0.01604677364230156,
-0.012538840994238853,
-0.005070692393928766,
-0.019076688215136528,
-0.004828005097806454,
0.09272123128175735,
-0.016385065391659737,
-0.01620856486260891,
-0.05639168992638588,
-0.021077018231153488,
0.029740218073129654,
-0.022562559694051743,
0.049125779420137405,
-0.02668088860809803,
-0.006850398611277342,
0.018223606050014496,
0.047507863491773605,
0.00034748399048112333,
0.012193195521831512,
-0.01647331565618515,
0.08160174638032913,
0.018282437697052956,
-0.051832109689712524,
-0.022944975644350052,
0.06512843072414398,
-0.008986782282590866,
0.02765163592994213,
-0.019106104969978333,
-0.03221121430397034,
0.019841520115733147,
0.019591478630900383,
-0.03777096047997475,
0.034976378083229065,
-0.01712048053741455,
-0.030710967257618904,
-0.036535460501909256,
-0.06306926161050797,
-0.0177676472812891,
-0.013112464919686317,
0.005938482936471701,
-0.025048265233635902,
-0.01142100803554058,
0.05433252453804016,
0.03933003917336464,
0.05309702455997467,
0.042742371559143066,
-0.004224963951855898,
0.030505049973726273,
-0.023724516853690147,
-0.03159346431493759,
-0.030387382954359055,
-0.05677410587668419,
0.006633451208472252,
-0.0046662138774991035,
-0.053508859127759933,
0.014561234042048454,
-0.049772944301366806,
0.03841812536120415,
-0.004063172731548548,
0.05853910371661186,
0.017002815380692482,
-0.03215238079428673,
-0.06636393070220947,
0.02835763618350029,
-0.030916882678866386,
0.021532976999878883,
0.03450571373105049,
0.0075085959397256374,
-0.01734110713005066,
-0.003949183039367199,
-0.0019120812648907304,
0.027033887803554535,
0.02846059389412403,
0.02900480106472969,
-0.06118660047650337,
0.038212209939956665,
0.017855897545814514,
-0.00673640938475728,
-0.04403670132160187,
-0.012972735799849033,
0.0030887466855347157,
0.023901015520095825,
0.021312352269887924,
-0.022018350660800934,
-0.020665185526013374,
0.042212869971990585,
0.03753562644124031,
0.009766322560608387,
-0.019738562405109406,
0.005055984016507864,
-0.026077846065163612,
0.012428528629243374,
-0.006740086246281862,
-0.0046073803678154945,
-0.015649650245904922,
0.000744608580134809,
0.01653214916586876,
0.023533307015895844,
0.013149235397577286,
0.0008301006746478379,
-0.008574948646128178,
0.020076854154467583,
-0.013465464115142822,
-0.02009156160056591,
-0.06554026156663895,
-0.012296153232455254,
0.016826314851641655,
0.03121105022728443,
-0.0021345445420593023,
-0.03500579670071602,
-0.09072089940309525,
-0.008229303173720837,
-0.06465776264667511,
-0.06418709456920624,
0.026754429563879967,
0.004041110165417194,
0.020223936066031456,
0.050037696957588196,
-0.050155363976955414,
0.003868287429213524,
0.02868121862411499,
-0.008692615665495396,
0.012112298980355263,
0.05309702455997467,
-0.03282896429300308,
0.0143700260668993,
-0.005136879626661539,
-0.05244985967874527,
-0.026386721059679985,
-0.021047601476311684,
-0.0038499021902680397,
-0.02550422213971615,
-0.04465445131063461,
0.04633120074868202,
0.044154368340969086,
-0.03485871106386185,
-0.017782356590032578,
-0.036535460501909256,
0.05518560856580734,
-0.027298636734485626,
0.011619570665061474,
0.025577763095498085,
-0.015561399981379509,
-0.018708979710936546,
-0.037565041333436966,
0.021900685504078865,
0.03221121430397034,
0.004600026179105043,
0.0004635418008547276,
-0.019370853900909424,
-0.02544538863003254,
0.04812561348080635,
0.031240466982126236,
-0.010957696475088596,
0.012656507082283497,
0.029254842549562454,
0.02360684983432293,
0.05092019587755203,
-0.029563717544078827,
0.0009174313163384795,
-0.01576731540262699,
-0.010950342752039433,
0.0018376203952357173,
-0.013347798027098179,
-0.047831449657678604,
0.014061151072382927,
-0.02748984470963478,
-0.002447096398100257,
-0.008148407563567162,
0.00718501303344965,
0.0004662996216211468,
0.021532976999878883,
-0.04618411511182785,
-0.025724846869707108,
0.03144638240337372,
0.00008566445467295125,
0.062363266944885254,
-0.004769172053784132,
0.01587027497589588,
0.004857421852648258,
-0.020885810256004333,
0.08113107830286026,
-0.05244985967874527,
0.01689985580742359,
-0.027298636734485626,
-0.0009707489516586065,
0.02971080131828785,
-0.0101781552657485,
0.04088912159204483,
0.020385727286338806,
0.023033225908875465,
0.024401098489761353,
-0.02651909552514553,
-0.014789213426411152,
0.02176830917596817,
-0.01604677364230156,
-0.03379971161484718,
0.013539006002247334,
0.011693112552165985,
0.0455663688480854,
-0.018326563760638237,
-0.074306420981884,
0.016193857416510582,
0.013766985386610031,
-0.01301686093211174,
-0.03277013078331947,
0.015384900383651257,
-0.03559412807226181,
0.024827640503644943,
-0.02150356024503708,
-0.00429482851177454,
-0.015605525113642216,
-0.01675277389585972,
-0.003528157714754343,
-0.038918208330869675,
-0.051979195326566696,
0.05362652614712715,
-0.00786159560084343,
0.033358462154865265,
-0.002616242039948702,
0.010847384110093117,
0.04203636944293976,
0.012877131812274456,
0.0326230488717556,
0.024827640503644943,
-0.027460427954792976,
-0.016649816185235977,
-0.007343127392232418,
0.038006290793418884,
0.01917964592576027,
-0.008824990130960941,
0.053067609667778015,
-0.00003533443305059336,
-0.038388706743717194,
-0.02710742875933647,
-0.005114817526191473,
0.0084793446585536,
0.003581475233659148,
0.021371185779571533,
0.03126988187432289,
-0.029519593343138695,
0.01228879950940609,
-0.05459727346897125,
0.03171113133430481,
0.06448126584291458,
-0.01916493847966194,
-0.038977041840553284,
-0.02251843363046646,
-0.000021545387426158413,
-0.0326230488717556,
0.0149362962692976,
-0.028078177943825722,
-0.020988769829273224,
-0.05703885480761528,
0.02522476390004158,
-0.006695961579680443,
-0.01398761011660099,
0.0177676472812891,
-0.0279310941696167,
0.028534134849905968,
0.026063138619065285,
0.01047967653721571,
0.023033225908875465,
-0.045831117779016495,
-0.024533472955226898,
-0.003228475572541356,
0.05259694159030914,
-0.013921421952545643,
0.03385854512453079,
0.02528359740972519,
0.03888878971338272,
-0.017973564565181732,
0.008619073778390884,
0.002767002210021019,
-0.04153628647327423,
0.033358462154865265,
0.015458441339433193,
-0.04618411511182785,
-0.02787226065993309,
-0.04933169484138489,
0.035623542964458466,
0.02829880267381668,
0.054744359105825424,
0.008714677765965462,
-0.03482929617166519,
-0.0036734023597091436,
-0.04733136668801308,
0.012950673699378967,
-0.0014267067890614271,
-0.020826976746320724,
0.008060158230364323,
-0.0040374333038926125,
0.039888955652713776,
-0.07224725186824799,
0.254395067691803,
0.02754867821931839,
0.030505049973726273,
-0.023415641859173775,
0.009935468435287476,
0.01085473783314228,
-0.012465299107134342,
-0.03983012214303017,
-0.0019525291863828897,
-0.006545201409608126,
-0.0023901015520095825,
-0.006982773542404175,
-0.005000827834010124,
-0.006526815705001354,
-0.0004283797461539507,
0.05883327126502991,
-0.02581309713423252,
-0.022077184170484543,
0.0768362507224083,
-0.01023698877543211,
-0.06015701964497566,
-0.017032232135534286,
-0.037829793989658356,
-0.0025868252851068974,
0.006721701007336378,
0.006210586987435818,
-0.01136952918022871,
-0.024989431723952293,
-0.025739556178450584,
-0.012016694992780685,
-0.005625931546092033,
-0.007582137826830149,
0.03121105022728443,
-0.01453181728720665,
-0.02398926578462124,
0.016135023906826973,
-0.005809785332530737,
0.02344505861401558,
0.009869281202554703,
-0.024342264980077744,
0.003599860705435276,
0.015443732962012291,
-0.01217848714441061,
0.013002152554690838,
-0.0016611205646768212,
0.044919200241565704,
0.009303011000156403,
-0.004243349656462669,
-0.0075049190782010555,
-0.062363266944885254,
0.06742292642593384,
-0.027298636734485626,
0.02435697428882122,
0.007251200266182423,
-0.046537116169929504,
0.025754263624548912,
0.03306429833173752,
0.012200549244880676,
0.0070158676244318485,
0.03835929185152054,
0.018988437950611115,
-0.024871764704585075,
-0.010891509242355824,
0.0433012880384922,
-0.012053466401994228,
0.02976963482797146,
-0.009898697957396507,
-0.002270596567541361,
-0.01614973321557045,
0.03732971101999283,
-0.0025132836308330297,
-0.042654119431972504,
-0.051773276180028915,
0.013752277009189129,
0.0326230488717556,
0.0216506440192461,
-0.036917876452207565,
0.03856520727276802,
-0.0037910689134150743,
0.024945305660367012,
0.0077218664810061455,
0.018885480239987373,
0.0084793446585536,
0.02565130591392517,
0.04406611993908882,
0.025018848478794098,
-0.01109742559492588,
-0.028490010648965836,
0.0026585282757878304,
-0.012244674377143383,
0.004695630166679621,
-0.0007905720849521458,
0.024562889710068703,
-0.001582063385285437,
0.02106231078505516
] |
1210_9 | Jean Richer and Giovanni Domenico Cassini measured the parallax of Mars between Paris and Cayenne in French Guiana when Mars was at its closest to Earth in 1672. They arrived at a figure for the solar parallax of , equivalent to an Earth–Sun distance of about Earth radii. They were also the first astronomers to have access to an accurate and reliable value for the radius of Earth, which had been measured by their colleague Jean Picard in 1669 as toises. This same year saw another estimate for the astronomical unit by John Flamsteed, which accomplished it alone by measuring the martian diurnal parallax. Another colleague, Ole Rømer, discovered the finite speed of light in 1676: the speed was so great that it was usually quoted as the time required for light to travel from the Sun to the Earth, or "light time per unit distance", a convention that is still followed by astronomers today.
A better method for observing Venus transits was devised by James Gregory and published in his Optica Promata (1663). It was strongly advocated by Edmond Halley and was applied to the transits of Venus observed in 1761 and 1769, and then again in 1874 and 1882. Transits of Venus occur in pairs, but less than one pair every century, and observing the transits in 1761 and 1769 was an unprecedented international scientific operation including observations by James Cook and Charles Green from Tahiti. Despite the Seven Years' War, dozens of astronomers were dispatched to observing points around the world at great expense and personal danger: several of them died in the endeavour. The various results were collated by Jérôme Lalande to give a figure for the solar parallax of . Karl Rudolph Powalky had made an estimate of in 1864. | [
-0.012898789718747139,
0.03261120244860649,
0.04161754623055458,
-0.05183061957359314,
-0.030521495267748833,
0.036702319979667664,
-0.03749699518084526,
-0.012597107328474522,
0.02569456584751606,
0.04461966082453728,
-0.022074369713664055,
-0.02272188477218151,
-0.0103455213829875,
-0.034642044454813004,
-0.015128301456570625,
-0.011360942386090755,
-0.02540024183690548,
0.00044700599391944706,
-0.05727563053369522,
-0.0022846972569823265,
0.007365481462329626,
0.013207831420004368,
-0.05848236382007599,
-0.04744517803192139,
-0.0068025849759578705,
0.00444062752649188,
0.08188119530677795,
0.04382498189806938,
0.0679301917552948,
0.05880612134933472,
0.04461966082453728,
-0.0239727646112442,
0.016673507168889046,
-0.06416283547878265,
0.00644203694537282,
0.036260832101106644,
0.0361725352704525,
-0.06269121170043945,
0.009109356440603733,
-0.06534013152122498,
0.05077105015516281,
-0.015790533274412155,
0.018100982531905174,
-0.012015814892947674,
0.036672886461019516,
-0.011015110649168491,
-0.001799980876967311,
-0.04017535224556923,
0.0016859299503266811,
-0.026386229321360588,
-0.005665754899382591,
-0.005787163972854614,
0.019955230876803398,
-0.02434067241847515,
-0.015407909639179707,
-0.028181612491607666,
-0.01565808616578579,
-0.007115304935723543,
-0.010463250800967216,
0.037114374339580536,
0.029211748391389847,
-0.009433113969862461,
-0.009896676056087017,
-0.036702319979667664,
-0.055009327828884125,
0.03231687843799591,
0.009698006324470043,
-0.00594536354765296,
-0.01229542400687933,
-0.05124197155237198,
0.00635006045922637,
0.02562098577618599,
0.04744517803192139,
-0.004315539263188839,
-0.011294718831777573,
-0.007814327254891396,
-0.000776741886511445,
-0.026312649250030518,
-0.0020731512922793627,
-0.005485480651259422,
-0.011280003003776073,
0.013296128250658512,
-0.04444306343793869,
0.0033718599006533623,
0.01148603018373251,
-0.05347884073853493,
-0.00785111729055643,
-0.0042713903822004795,
0.03184595704078674,
-0.003237574128434062,
0.029358912259340286,
0.047150854021310806,
-0.017232725396752357,
-0.026327364146709442,
0.02341354824602604,
-0.002626850036904216,
-0.006677496712654829,
0.0046135433949530125,
-0.006320627871900797,
0.03281722962856293,
0.020455582067370415,
0.05156572908163071,
-0.054567839950323105,
0.03546615317463875,
-0.003272525267675519,
0.04926999285817146,
-0.035789910703897476,
0.03158106654882431,
0.011390374973416328,
-0.042441654950380325,
0.05621606111526489,
0.04564979672431946,
0.03399452939629555,
-0.005205872002989054,
0.0013235424412414432,
0.06840111315250397,
-0.05659868195652962,
-0.011611117981374264,
0.0013005483197048306,
0.017321022227406502,
-0.012354289181530476,
-0.008196949027478695,
0.007770177908241749,
0.03996932506561279,
-0.022883763536810875,
-0.03558388352394104,
-0.03702607750892639,
0.004926263354718685,
-0.018777931109070778,
-0.0428537093102932,
-0.0048784357495605946,
-0.04220619425177574,
-0.044796254485845566,
0.01139773242175579,
0.04267711564898491,
0.031522199511528015,
0.006283837370574474,
0.02500290237367153,
0.022250965237617493,
-0.05156572908163071,
-0.023884467780590057,
-0.0361725352704525,
-0.005595852620899677,
0.0857074186205864,
-0.053832028061151505,
0.031227875500917435,
-0.04014591872692108,
0.016408614814281464,
-0.005250020883977413,
0.03043319657444954,
-0.014723604544997215,
-0.024531982839107513,
-0.0228690467774868,
0.03231687843799591,
-0.0017098438693210483,
-0.017512332648038864,
0.02201550453901291,
-0.03346474468708038,
0.01543734222650528,
0.012464660219848156,
-0.016040708869695663,
-0.009543485939502716,
-0.0005348435952328146,
0.017909672111272812,
0.013943643309175968,
0.020382001996040344,
-0.04202960059046745,
-0.0634564533829689,
0.034789204597473145,
0.006427320651710033,
0.016791237518191338,
-0.032405175268650055,
0.009859885089099407,
0.012670688331127167,
0.03246403858065605,
0.04403100907802582,
-0.009808378294110298,
-0.04085230082273483,
-0.023649007081985474,
0.006026302929967642,
0.008763524703681469,
-0.001178219448775053,
-0.014929631724953651,
0.03823280707001686,
0.007516322657465935,
-0.03679061681032181,
-0.009278593584895134,
-0.007755461614578962,
0.0457380935549736,
-0.06327985972166061,
0.013413858599960804,
0.015981843695044518,
-0.02679828554391861,
-0.0040580048225820065,
-0.022707168012857437,
-0.013914210721850395,
0.015319612808525562,
-0.015613937750458717,
-0.006243367679417133,
-0.034700907766819,
0.002349080750718713,
0.04650333896279335,
-0.018571902066469193,
0.06445715576410294,
-0.027445798739790916,
-0.029976993799209595,
0.07246279716491699,
0.05250756815075874,
-0.006085168104618788,
0.014966422691941261,
0.040999460965394974,
-0.0009657536866143346,
0.02024955488741398,
-0.011625834740698338,
0.026827717199921608,
0.03893918916583061,
-0.04176470637321472,
0.0516834557056427,
-0.0480043962597847,
-0.01244258601218462,
0.04485511779785156,
0.009948182851076126,
0.015746382996439934,
0.027401650324463844,
0.030374333262443542,
-0.005279453471302986,
-0.016290884464979172,
0.09412511438131332,
0.0009298828081227839,
0.026901299133896828,
-0.0457969568669796,
0.017085561528801918,
-0.0017631902592256665,
-0.019543174654245377,
0.03661401942372322,
-0.016158439218997955,
0.001380567904561758,
0.0118024293333292,
-0.005158044397830963,
-0.003020509611815214,
0.06316213309764862,
-0.007313974667340517,
0.0421178974211216,
0.010779650881886482,
0.019763918593525887,
0.08235211670398712,
0.028387639671564102,
-0.013509513810276985,
-0.0015332489274442196,
0.07770177721977234,
-0.09518468379974365,
0.028431788086891174,
0.02540024183690548,
-0.06180823594331741,
-0.03305269032716751,
0.01573166809976101,
0.032846663147211075,
0.03867429494857788,
0.013965717516839504,
-0.06922522187232971,
-0.028284626081585884,
0.005492839030921459,
-0.010890021920204163,
-0.04232392460107803,
0.011956949718296528,
0.0036441104020923376,
0.027695976197719574,
0.0317576602101326,
0.06463375687599182,
-0.015599220991134644,
-0.026018323376774788,
-0.010603055357933044,
-0.053243380039930344,
-0.009109356440603733,
-0.016496911644935608,
-0.011478671804070473,
0.000281678163446486,
-0.04202960059046745,
0.034023962914943695,
0.013538946397602558,
-0.017821375280618668,
-0.03835053741931915,
-0.034789204597473145,
0.044089872390031815,
-0.0017135229427367449,
0.0158788301050663,
0.030094724148511887,
0.015275463461875916,
-0.030315468087792397,
0.030786387622356415,
-0.008535423316061497,
-0.04297143965959549,
-0.0072183189913630486,
0.005967437755316496,
0.03134560585021973,
0.01999937929213047,
0.00985252670943737,
0.0605720691382885,
0.028225760906934738,
-0.060160014778375626,
0.005371429957449436,
-0.009543485939502716,
-0.011037184856832027,
0.022486424073576927,
0.0008149121422320604,
-0.01639389805495739,
-0.036672886461019516,
-0.01465002354234457,
0.001129471929743886,
0.00025592470774427056,
-0.019248850643634796,
0.053361110389232635,
-0.0035815665032714605,
0.02955022267997265,
-0.03620196506381035,
0.03208141773939133,
0.035789910703897476,
-0.018763214349746704,
0.0038041495718061924,
-0.027445798739790916,
-0.03614310175180435,
-0.026165485382080078,
-0.0070049334317445755,
-0.03234630823135376,
-0.026047756895422935,
0.053684867918491364,
-0.013097459450364113,
-0.007865834049880505,
0.0000021269574972393457,
-0.012001099064946175,
-0.01325197983533144,
0.022295113652944565,
-0.007409629877656698,
0.03199312090873718,
-0.022927911952137947,
-0.013494797982275486,
0.023030925542116165,
0.003918200731277466,
0.03193425387144089,
-0.05306678265333176,
0.03116901032626629,
-0.05215437710285187,
-0.01323726400732994,
0.03340587764978409,
-0.04741574451327324,
-0.01646747998893261,
0.03381793573498726,
-0.010669278912246227,
-0.006063093431293964,
0.03069809079170227,
-0.031698793172836304,
0.026592256501317024,
0.01148603018373251,
0.05044729262590408,
-0.025635700672864914,
0.07222733646631241,
0.03143390268087387,
0.009411039762198925,
-0.05253699794411659,
0.006155069917440414,
0.018498321995139122,
-0.0014651862438768148,
0.06569332629442215,
0.002104423241689801,
-0.051889482885599136,
0.003807828761637211,
-0.015687517821788788,
-0.01426004245877266,
0.04482568800449371,
-0.034318286925554276,
0.012729553505778313,
0.03561331704258919,
-0.02080877311527729,
-0.026459811255335808,
-0.02194192260503769,
0.03278779610991478,
0.05715790018439293,
0.03793848305940628,
0.034171123057603836,
-0.016423331573605537,
-0.0068025849759578705,
-0.026886582374572754,
-0.0291528832167387,
0.0016758125275373459,
-0.022501140832901,
-0.019381295889616013,
-0.03261120244860649,
0.0010825638892129064,
-0.018777931109070778,
-0.0619848296046257,
-0.02272188477218151,
-0.010728143155574799,
0.014186461456120014,
-0.020705759525299072,
-0.03237574175000191,
-0.007358123082667589,
0.02132384106516838,
0.006007907446473837,
0.005584815517067909,
-0.005790843162685633,
0.017688928171992302,
0.03531899303197861,
0.02117667905986309,
0.05097707733511925,
-0.027960868552327156,
0.026400946080684662,
-0.0324346087872982,
0.040675703436136246,
0.03473034128546715,
0.00622129300609231,
0.009175579994916916,
-0.015319612808525562,
0.038291674107313156,
-0.04029308259487152,
0.00867522694170475,
-0.019866932183504105,
0.0034012924879789352,
-0.005095500499010086,
0.0013005483197048306,
0.00888125505298376,
-0.013605169951915741,
0.012067321687936783,
0.007836401462554932,
0.061337314546108246,
-0.04223562777042389,
-0.018130416050553322,
-0.010536832734942436,
-0.043913278728723526,
0.022265680134296417,
0.026091905310750008,
0.003072016406804323,
-0.02510591596364975,
0.015275463461875916,
0.008219023235142231,
-0.005433973856270313,
0.02002881094813347,
0.059571366757154465,
0.002464971272274852,
0.03311155363917351,
-0.015172449871897697,
0.008572213351726532,
0.04282427579164505,
-0.005121253896504641,
0.0006833857041783631,
0.018792646005749702,
0.020352568477392197,
0.0443253330886364,
0.001918630674481392,
0.0018450494389981031,
-0.028240477666258812,
-0.03502466529607773,
-0.05065331980586052,
0.03896861895918846,
-0.030344899743795395,
-0.016482196748256683,
0.053832028061151505,
0.0116184763610363,
-0.030492061749100685,
-0.001613268512301147,
0.0421178974211216,
-0.0015001373831182718,
0.026091905310750008,
0.001402642228640616,
-0.010014405474066734,
-0.01918998546898365,
0.038291674107313156,
-0.0494171567261219,
0.04594412073493004,
0.049534887075424194,
-0.01830700971186161,
-0.0011175149120390415,
0.012641255743801594,
0.009558201767504215,
-0.051035940647125244,
0.024458400905132294,
-0.03222857788205147,
-0.029535505920648575,
-0.01646747998893261,
-0.028225760906934738,
-0.004470059648156166,
0.0332292839884758,
0.011956949718296528,
0.007416988257318735,
-0.011500746943056583,
0.00988931767642498,
-0.03434772044420242,
0.01224391721189022,
0.011294718831777573,
-0.04208846390247345,
0.011037184856832027,
-0.05862952396273613,
0.009565560147166252,
-0.048504747450351715,
-0.01501792948693037,
-0.002645245287567377,
-0.027048461139202118,
-0.062102559953927994,
-0.03113957680761814,
0.0262096356600523,
-0.024914605543017387,
0.000019545013856259175,
-0.0020952254999428988,
-0.014164387248456478,
0.04197073355317116,
-0.03128673881292343,
-0.056333791464567184,
-0.0033332298044115305,
-0.028034448623657227,
-0.009675932116806507,
-0.006879845168441534,
0.035230692476034164,
0.007784894201904535,
-0.014488144777715206,
-0.02113253064453602,
-0.0064788274466991425,
0.004790137987583876,
0.05595116689801216,
0.020043527707457542,
0.026827717199921608,
0.02404634654521942,
0.002991077024489641,
-0.028652532026171684,
-0.022515857592225075,
0.04041081294417381,
-0.004966733045876026,
0.018777931109070778,
0.005102858413010836,
-0.02569456584751606,
-0.03458317741751671,
-0.06757700443267822,
-0.00790262408554554,
-0.014502860605716705,
-0.019086971879005432,
-0.04300087317824364,
-0.06592878699302673,
-0.03370020538568497,
0.05080048367381096,
0.0070454031229019165,
-0.014605874195694923,
-0.024649713188409805,
-0.006412604358047247,
0.005470764357596636,
-0.018145130947232246,
0.0005380627699196339,
-0.04461966082453728,
-0.024767443537712097,
-0.005301527678966522,
0.06063093617558479,
-0.05424408242106438,
-0.0228984784334898,
-0.00013945942919235677,
-0.014149670489132404,
0.047180287539958954,
0.00015061158046592027,
-0.046738799661397934,
-0.05450897663831711,
-0.0069055985659360886,
0.03879202529788017,
-0.005783484783023596,
-0.00512861181050539,
0.013126892037689686,
0.03767359256744385,
-0.015349045395851135,
-0.03364133834838867,
0.011574327945709229,
-0.0114345233887434,
-0.010470609180629253,
-0.0027519380673766136,
0.03455374762415886,
-0.00267467787489295,
-0.00990403350442648,
0.02910873480141163,
0.02826990932226181,
0.03526012599468231,
-0.016997264698147774,
-0.03381793573498726,
-0.05871782451868057,
-0.013229905627667904,
-0.007615657523274422,
-0.005698866210877895,
0.019234133884310722,
0.005430295132100582,
-0.0029358910396695137,
-0.0376441590487957,
0.0020308420062065125,
-0.029417775571346283,
0.010271940380334854,
0.03481863811612129,
0.013524230569601059,
0.023796170949935913,
-0.06987273693084717,
0.023943332955241203,
0.010014405474066734,
0.0472097173333168,
-0.0011837381171062589,
-0.03440658375620842,
-0.03443601727485657,
0.005864424165338278,
0.019984662532806396,
-0.060925260186195374,
-0.017703644931316376,
0.045708660036325455,
0.03428885340690613,
-0.0032854019664227962,
0.038762591779232025,
0.02441425248980522,
-0.04756290838122368,
-0.01066192053258419,
0.06481035053730011,
0.04562036320567131,
0.011993740685284138,
0.037850186228752136,
0.012861999683082104,
-0.01288407389074564,
0.008425051346421242,
0.03440658375620842,
-0.04364838823676109,
0.01786552369594574,
0.026312649250030518,
0.003966028336435556,
-0.034642044454813004,
0.007060119416564703,
0.02517949789762497,
-0.04191187024116516,
-0.01860133558511734,
0.01075021829456091,
-0.027475232258439064,
0.007799610495567322,
-0.01542262639850378,
-0.02863781526684761,
0.025812296196818352,
-0.014252685010433197,
-0.019675621762871742,
0.04164697602391243,
0.01261182315647602,
0.011228496208786964,
-0.007483211345970631,
0.013009161688387394,
0.002223992720246315,
-0.002023483859375119,
0.07205074280500412,
-0.03943954035639763,
0.008130726404488087,
-0.04482568800449371,
-0.0361725352704525,
0.005367750767618418,
-0.035672180354595184,
-0.0034362436272203922,
-0.03996932506561279,
-0.008064502850174904,
0.04235335811972618,
0.030668657273054123,
0.026989595964550972,
0.01580524817109108,
-0.04117605835199356,
0.10525059700012207,
-0.005871782079339027,
-0.04885793849825859,
-0.058099739253520966,
0.037585292011499405,
-0.008138083852827549,
0.02385503612458706,
-0.0177183598279953,
-0.012670688331127167,
0.020705759525299072,
0.0034601574297994375,
-0.031963687390089035,
-0.0011653427500277758,
-0.021971356123685837,
-0.029211748391389847,
-0.05347884073853493,
-0.07693653553724289,
-0.004911547061055899,
-0.0012462821323424578,
-0.002040039747953415,
-0.05215437710285187,
0.013516872189939022,
0.05333167687058449,
0.019145837053656578,
0.040675703436136246,
0.03661401942372322,
0.004963053856045008,
0.05948306620121002,
-0.009653857909142971,
-0.0354367196559906,
0.00017130631022155285,
-0.06698835641145706,
-0.01505472045391798,
-0.003995460923761129,
-0.050123535096645355,
0.003428885480388999,
-0.024649713188409805,
-0.0019425444770604372,
0.026327364146709442,
0.04005762189626694,
-0.001966458512470126,
0.012236558832228184,
-0.06339758634567261,
0.03143390268087387,
-0.008130726404488087,
0.017100278288125992,
0.04773950204253197,
-0.012575032189488411,
-0.0004495353496167809,
-0.002696752082556486,
-0.023722589015960693,
0.042618248611688614,
0.013752331957221031,
0.04079343378543854,
-0.011544895358383656,
0.029123451560735703,
-0.005183797795325518,
0.023295817896723747,
-0.026297932490706444,
-0.004771742969751358,
-0.012773701921105385,
0.005754052195698023,
0.03558388352394104,
-0.007777536287903786,
-0.05445011332631111,
0.02679828554391861,
0.043501224368810654,
0.01521659828722477,
-0.0069534266367554665,
-0.002661801176145673,
-0.011758280918002129,
-0.004720236174762249,
-0.01084587350487709,
-0.0169825479388237,
0.0043228971771895885,
-0.007814327254891396,
0.035819344222545624,
0.006202897988259792,
-0.007512643933296204,
0.021956639364361763,
-0.03458317741751671,
-0.0021007442846894264,
-0.018542470410466194,
-0.0162467360496521,
-0.054567839950323105,
-0.0028954215813428164,
0.0034527992829680443,
0.02653339132666588,
0.02981511503458023,
-0.027622394263744354,
-0.09094640612602234,
0.005334639456123114,
-0.0754060447216034,
-0.042176760733127594,
0.03010944090783596,
-0.013274054042994976,
0.013524230569601059,
0.045002281665802,
-0.048033829778432846,
0.018100982531905174,
0.014377772808074951,
-0.04017535224556923,
0.028034448623657227,
0.019396012648940086,
-0.023590143769979477,
0.042588818818330765,
0.005426615942269564,
-0.04197073355317116,
-0.023295817896723747,
-0.02643037773668766,
-0.031787093728780746,
-0.03540728986263275,
-0.033582475036382675,
0.03923351317644119,
0.025900593027472496,
-0.040234219282865524,
-0.01779194176197052,
-0.04744517803192139,
0.03870372846722603,
-0.021441571414470673,
0.017188575118780136,
-0.009212370030581951,
-0.011478671804070473,
-0.015908261761069298,
-0.02900572121143341,
0.01966090500354767,
0.043030302971601486,
-0.017291588708758354,
0.013502156361937523,
0.0025385525077581406,
-0.04741574451327324,
0.04700369015336037,
0.02984454855322838,
-0.007792252581566572,
0.009433113969862461,
0.016673507168889046,
-0.008174874819815159,
0.03473034128546715,
-0.028358206152915955,
-0.016202587634325027,
-0.0011570649221539497,
-0.04149981588125229,
0.005286811385303736,
-0.0040175351314246655,
-0.036849480122327805,
-0.022412844002246857,
-0.010271940380334854,
0.017482900992035866,
-0.019469594582915306,
0.015864113345742226,
0.013038594275712967,
-0.0009501176537014544,
-0.04294200614094734,
-0.00703068682923913,
0.008005637675523758,
-0.004550999030470848,
0.04609128460288048,
-0.02485574036836624,
0.026739420369267464,
-0.0026194918900728226,
0.009072565473616123,
0.060042284429073334,
-0.017968537285923958,
0.005345676559954882,
-0.006835696287453175,
-0.013458007015287876,
0.005706224590539932,
0.012383721768856049,
0.05921817570924759,
0.022839615121483803,
0.030315468087792397,
0.0210589487105608,
-0.019837500527501106,
-0.010757575742900372,
0.0013474563602358103,
0.008660511113703251,
-0.02117667905986309,
0.05024126544594765,
0.026003606617450714,
0.04897566884756088,
-0.04520830884575844,
-0.07022592425346375,
-0.0023527599405497313,
0.013951001688838005,
-0.016232019290328026,
-0.0031658324878662825,
0.016261452808976173,
-0.027475232258439064,
0.002685714978724718,
-0.03275836259126663,
-0.020087676122784615,
-0.04576752707362175,
-0.0061256373301148415,
0.012494092807173729,
-0.028284626081585884,
-0.03043319657444954,
0.06116072088479996,
-0.018925093114376068,
0.024399535730481148,
-0.015452058985829353,
0.025782864540815353,
0.02918231673538685,
0.01845417357981205,
0.03143390268087387,
0.011316793039441109,
-0.004205167293548584,
-0.03116901032626629,
-0.0339650958776474,
0.013391784392297268,
0.005400862544775009,
0.0035852454602718353,
0.05392032489180565,
-0.0011156754335388541,
-0.02932947874069214,
-0.011235853657126427,
0.010904738679528236,
0.010404386557638645,
0.015010571107268333,
0.03190482035279274,
0.029564939439296722,
-0.018424740061163902,
0.015260747633874416,
-0.04988807439804077,
0.039939891546964645,
0.050565022975206375,
-0.036378562450408936,
-0.0398515947163105,
-0.017247440293431282,
-0.027489949017763138,
-0.026445094496011734,
0.02223624847829342,
-0.008653152734041214,
-0.03281722962856293,
-0.014782469719648361,
-0.005393504165112972,
-0.034465450793504715,
-0.025061767548322678,
-0.01543734222650528,
-0.03820337727665901,
0.016158439218997955,
0.00486004026606679,
-0.0008204307523556054,
0.004606185015290976,
-0.03128673881292343,
-0.0068945614621043205,
-0.0029653236269950867,
0.059571366757154465,
0.005647359415888786,
0.048946235328912735,
0.03455374762415886,
0.021927207708358765,
-0.01012477744370699,
0.009153504855930805,
0.021706463769078255,
-0.03440658375620842,
0.03517182916402817,
0.01712970994412899,
-0.034494880586862564,
-0.03664345294237137,
-0.0524192713201046,
0.06280893832445145,
0.013634602539241314,
0.07705426961183548,
0.01705612987279892,
-0.02257472276687622,
-0.01632031798362732,
-0.023810885846614838,
0.02047029882669449,
0.01948430947959423,
-0.0036036409437656403,
0.011015110649168491,
-0.010271940380334854,
0.035966504365205765,
-0.043354060500860214,
0.2557094991207123,
0.044796254485845566,
0.05009410157799721,
0.006589199416339397,
-0.020014094188809395,
0.02275131642818451,
0.0016877695452421904,
-0.014605874195694923,
0.009455188177525997,
-0.015260747633874416,
0.006412604358047247,
-0.0013180237729102373,
-0.00018130875832866877,
0.01492227427661419,
-0.02279546484351158,
0.06116072088479996,
-0.007946773432195187,
-0.002840235596522689,
0.06174936890602112,
0.014672097750008106,
-0.050123535096645355,
0.010102703236043453,
-0.0752294510602951,
-0.012538242153823376,
-0.008285246789455414,
0.023369399830698967,
-0.02024955488741398,
-0.045532066375017166,
-0.009271235205233097,
-0.007998280227184296,
0.007225676905363798,
-0.02495875395834446,
0.01084587350487709,
-0.018468888476490974,
-0.042147330939769745,
0.0028715075459331274,
-0.01008798647671938,
0.005478122737258673,
-0.007836401462554932,
-0.01367139257490635,
0.01988164894282818,
0.020337851718068123,
-0.014105522073805332,
0.013973075896501541,
0.01402458269149065,
0.03570161387324333,
0.0110666174441576,
-0.018513038754463196,
-0.004764384590089321,
-0.045561499893665314,
0.05124197155237198,
-0.029064586386084557,
0.002349080750718713,
0.02319280430674553,
-0.07581809908151627,
0.033288151025772095,
0.04682709649205208,
-0.01426004245877266,
0.0043927994556725025,
0.03855656459927559,
0.01067663636058569,
-0.010801725089550018,
-0.02022012323141098,
0.0023932296317070723,
-0.03246403858065605,
0.04665050283074379,
-0.017453467473387718,
0.019013389945030212,
-0.0317576602101326,
0.0106987114995718,
0.004569394513964653,
-0.037850186228752136,
-0.0383799709379673,
-0.00867522694170475,
0.02856423333287239,
0.00123800418805331,
-0.04267711564898491,
0.03193425387144089,
-0.009830452501773834,
-0.019984662532806396,
0.011088691651821136,
-0.011294718831777573,
-0.011500746943056583,
0.016129005700349808,
0.03767359256744385,
0.013597811572253704,
-0.02172118052840233,
-0.05135969817638397,
-0.04753347486257553,
-0.000220283807720989,
0.00540454126894474,
0.017880238592624664,
0.012942939065396786,
-0.006342702079564333,
0.01852775365114212
] |
1210_10 | Another method involved determining the constant of aberration. Simon Newcomb gave great weight to this method when deriving his widely accepted value of for the solar parallax (close to the modern value of ), although Newcomb also used data from the transits of Venus. Newcomb also collaborated with A. A. Michelson to measure the speed of light with Earth-based equipment; combined with the constant of aberration (which is related to the light time per unit distance), this gave the first direct measurement of the Earth–Sun distance in kilometres. Newcomb's value for the solar parallax (and for the constant of aberration and the Gaussian gravitational constant) were incorporated into the first international system of astronomical constants in 1896, which remained in place for the calculation of ephemerides until 1964. The name "astronomical unit" appears first to have been used in 1903.
The discovery of the near-Earth asteroid 433 Eros and its passage near Earth in 1900–1901 allowed a considerable improvement in parallax measurement. Another international project to measure the parallax of 433 Eros was undertaken in 1930–1931.
Direct radar measurements of the distances to Venus and Mars became available in the early 1960s. Along with improved measurements of the speed of light, these showed that Newcomb's values for the solar parallax and the constant of aberration were inconsistent with one another.
Developments
The unit distance (the value of the astronomical unit in metres) can be expressed in terms of other astronomical constants:
where is the Newtonian gravitational constant, is the solar mass, is the numerical value of Gaussian gravitational constant and is the time period of one day.
The Sun is constantly losing mass by radiating away energy, so the orbits of the planets are steadily expanding outward from the Sun. This has led to calls to abandon the astronomical unit as a unit of measurement.
As the speed of light has an exact defined value in SI units and the Gaussian gravitational constant is fixed in the astronomical system of units, measuring the light time per unit distance is exactly equivalent to measuring the product × in SI units. Hence, it is possible to construct ephemerides entirely in SI units, which is increasingly becoming the norm. | [
0.012267675250768661,
0.0289719607681036,
0.033259693533182144,
-0.04975554719567299,
-0.06699579954147339,
0.0459740050137043,
-0.011612605303525925,
-0.04484252259135246,
0.032306864857673645,
0.01920546218752861,
0.015587689355015755,
-0.03002900630235672,
-0.00909654051065445,
-0.06878235191106796,
-0.004674817901104689,
0.009066765196621418,
-0.010659775696694851,
-0.018595056608319283,
-0.05949226766824722,
0.0023895169142633677,
0.03629683330655098,
0.019473444670438766,
-0.07396335899829865,
-0.051214564591646194,
-0.013927682302892208,
0.015840783715248108,
0.0598793551325798,
0.006342269014567137,
0.051512327045202255,
0.05047016963362694,
0.03171134367585182,
-0.0316220186650753,
0.008999768644571304,
-0.03540355712175369,
0.01622787117958069,
0.007027114741504192,
0.023969607427716255,
-0.03713056072592735,
-0.0029459542129188776,
-0.03850025311112404,
0.04085255041718483,
-0.006442762445658445,
0.024148263037204742,
0.009178424254059792,
-0.00020691931422334164,
0.013979789800941944,
-0.017835769802331924,
-0.04918980598449707,
0.009848382323980331,
-0.017925098538398743,
-0.004630153998732567,
-0.0052777803502976894,
0.040971651673316956,
-0.005515987519174814,
0.015170826576650143,
-0.01935434155166149,
-0.0043100630864501,
0.008076716214418411,
-0.03668392077088356,
0.020292283967137337,
0.016108768060803413,
0.028942184522747993,
0.0017595702083781362,
-0.04064411669969559,
-0.007637521252036095,
0.02605392225086689,
0.015840783715248108,
-0.012022024020552635,
0.01118085440248251,
-0.053715743124485016,
0.0024974544066935778,
0.03549288585782051,
0.018565280362963676,
-0.0036512711085379124,
-0.017880434170365334,
0.0032976821530610323,
-0.0160492155700922,
-0.004503606352955103,
-0.020322058349847794,
0.00362149509601295,
-0.00873923022300005,
0.0022518031764775515,
-0.025324411690235138,
0.0036326611880213022,
-0.016257647424936295,
-0.03605862706899643,
-0.003993694204837084,
-0.00531500019133091,
0.017374243587255478,
0.0033944537863135338,
0.003707100870087743,
0.06616207212209702,
-0.016585182398557663,
-0.0018461064901202917,
0.05157187581062317,
-0.011478613130748272,
-0.018088866025209427,
0.017165811732411385,
0.045944228768348694,
0.035224903374910355,
0.030996723100543022,
0.05148255079984665,
-0.021111121401190758,
0.04921957850456238,
0.008940217085182667,
0.07062845677137375,
-0.04353238269686699,
0.014240329153835773,
-0.008627570234239101,
-0.0299396775662899,
0.03296193480491638,
0.0181930810213089,
0.025086205452680588,
0.012357003055512905,
0.03564176335930824,
0.06747221201658249,
-0.037577200680971146,
0.02873375453054905,
-0.013108844868838787,
0.01868438348174095,
0.0010002844501286745,
0.011419061571359634,
0.0014208692591637373,
0.052375826984643936,
-0.004112797789275646,
0.010622556321322918,
-0.01801442541182041,
-0.011798704974353313,
-0.014925175346434116,
-0.03236641362309456,
0.001156607992015779,
-0.04391946643590927,
-0.02912084013223648,
0.03802383691072464,
0.039959270507097244,
-0.0016358140856027603,
0.03989972174167633,
0.03626706078648567,
-0.0024937326088547707,
-0.05847989022731781,
-0.00720949238166213,
-0.022957226261496544,
-0.023299649357795715,
0.07152173668146133,
-0.05446014180779457,
0.05967092514038086,
-0.014195665717124939,
0.015222934074699879,
-0.026024146005511284,
0.0205900426954031,
-0.0008141850703395903,
-0.01948833279311657,
-0.009811162948608398,
0.013667142949998379,
0.0031320536509156227,
-0.038142941892147064,
0.0010002844501286745,
-0.002151309512555599,
-0.004056967794895172,
0.004049523733556271,
-0.001045878860168159,
0.02452046237885952,
0.003359094960615039,
-0.005143788643181324,
0.00317857856862247,
0.02265946753323078,
-0.07223635911941528,
-0.050023529678583145,
0.020128516480326653,
0.009520847350358963,
0.011739152483642101,
0.0014357571490108967,
-0.005169842392206192,
0.015468585304915905,
0.04755213111639023,
0.05904563143849373,
0.013957458548247814,
-0.04519983381032944,
-0.026664327830076218,
0.011158522218465805,
-0.0057876924984157085,
-0.0354333333671093,
-0.005143788643181324,
0.017299804836511612,
-0.01618320681154728,
-0.020560266450047493,
0.005798858590424061,
-0.02916550450026989,
0.04996397718787193,
-0.033349018543958664,
0.0013827187940478325,
0.004470108542591333,
-0.047581903636455536,
0.014232885092496872,
-0.06276761740446091,
-0.011411617510020733,
0.010153585113584995,
-0.019190574064850807,
-0.027512941509485245,
-0.0325748473405838,
0.027423614636063576,
0.04472341760993004,
-0.03189000114798546,
0.06252941489219666,
-0.011195742525160313,
-0.0017325858352705836,
0.07932302355766296,
0.06544744968414307,
-0.006673526018857956,
0.026128361001610756,
0.03337879478931427,
0.008538242429494858,
0.006792629603296518,
0.014619972556829453,
0.02970147132873535,
0.0359097495675087,
-0.0421329140663147,
0.04249022528529167,
-0.045706022530794144,
0.006673526018857956,
0.026976974681019783,
0.023865392431616783,
0.017567787319421768,
0.03808338940143585,
0.03132425621151924,
-0.020083852112293243,
-0.005233116447925568,
0.08343210071325302,
0.01415100134909153,
0.0029627031181007624,
-0.03844070062041283,
0.011865700595080853,
-0.014649747870862484,
-0.021870406344532967,
0.026426121592521667,
0.006252941209822893,
-0.019800981506705284,
0.019652100279927254,
0.012974852696061134,
-0.006647472269833088,
0.022972114384174347,
-0.005921684205532074,
0.049785323441028595,
0.01920546218752861,
-0.010637444444000721,
0.07170039415359497,
0.010786323808133602,
0.014255217276513577,
-0.009185868315398693,
0.07402291148900986,
-0.0488622710108757,
0.06401820480823517,
0.02594970539212227,
-0.03212820738554001,
-0.046956609934568405,
0.0011221796739846468,
0.017791107296943665,
0.0421626903116703,
0.020426275208592415,
-0.08498045057058334,
-0.022063950076699257,
-0.01665962114930153,
0.007570525165647268,
-0.0469268336892128,
-0.005988679826259613,
0.0015139189781621099,
0.01010892167687416,
0.008560574613511562,
0.04591445252299309,
-0.019220350310206413,
-0.04424700140953064,
-0.022019285708665848,
-0.04472341760993004,
-0.019652100279927254,
-0.02039649896323681,
-0.04478297010064125,
-0.003295821137726307,
-0.04195425659418106,
0.04347283020615578,
-0.0258603785187006,
-0.01886303909122944,
-0.04007837548851967,
-0.049160029739141464,
0.03174111992120743,
-0.012089019641280174,
0.012252787128090858,
0.01911613531410694,
0.03186022490262985,
-0.038768235594034195,
0.03026721253991127,
0.00202290085144341,
-0.03763674944639206,
0.016064103692770004,
-0.025756163522601128,
0.011493501253426075,
0.03260462358593941,
0.016064103692770004,
0.05306067317724228,
0.009468739852309227,
-0.053566861897706985,
0.004793921485543251,
-0.006986172869801521,
-0.02787025272846222,
0.007168550509959459,
-0.004913025069981813,
-0.008121379651129246,
-0.029731247574090958,
-0.03644571453332901,
0.013592703267931938,
-0.01319072861224413,
-0.06538789719343185,
0.01247610617429018,
-0.0025886432267725468,
0.005806302651762962,
-0.030877619981765747,
0.0170020442456007,
0.021334439516067505,
0.009796274825930595,
-0.005839800462126732,
-0.05118479207158089,
-0.026411233469843864,
0.0005471323383972049,
-0.03186022490262985,
-0.019503220915794373,
-0.008344698697328568,
0.06395865976810455,
0.013570371083915234,
-0.00835958682000637,
-0.00962506327778101,
-0.019815867766737938,
-0.033349018543958664,
-0.0144859803840518,
-0.010347128845751286,
0.011210630647838116,
-0.03403386473655701,
-0.03662436828017235,
0.019756317138671875,
0.025011764839291573,
0.015118719078600407,
-0.03998904675245285,
0.05398372560739517,
-0.0387980118393898,
0.005381995812058449,
0.04061434045433998,
-0.02624746598303318,
0.009252863936126232,
0.020039187744259834,
-0.02216816507279873,
0.00850102212280035,
0.035611990839242935,
-0.04913025349378586,
-0.0015241544460877776,
0.009051877073943615,
0.046956609934568405,
-0.013540595769882202,
0.04558691754937172,
0.019845644012093544,
0.029433486983180046,
-0.037428319454193115,
-0.034688934683799744,
0.02648567222058773,
0.028718866407871246,
0.03960196301341057,
-0.02519042044878006,
-0.006587920244783163,
0.02045605145394802,
-0.012624986469745636,
-0.03456983342766762,
0.029001737013459206,
-0.0469268336892128,
0.006297605112195015,
0.008121379651129246,
-0.018505727872252464,
-0.015081498771905899,
-0.013644810765981674,
0.02959725446999073,
0.037041231989860535,
0.03644571453332901,
0.042460449039936066,
-0.015200602822005749,
0.006100339815020561,
0.021393992006778717,
-0.018475953489542007,
-0.02408871240913868,
-0.031145602464675903,
-0.006011012010276318,
-0.013615035451948643,
0.0034335346426814795,
-0.01771666668355465,
-0.05850966274738312,
-0.019145909696817398,
-0.020054075866937637,
-0.00012003414303762838,
-0.018237745389342308,
-0.015185714699327946,
0.010079145431518555,
0.07164084166288376,
0.0006159891490824521,
-0.015394145622849464,
-0.012751533649861813,
0.013302387669682503,
0.033557452261447906,
0.029775910079479218,
0.01758267544209957,
-0.0023616019170731306,
0.024818221107125282,
-0.011262738145887852,
0.033110812306404114,
0.00441800057888031,
0.010138697922229767,
-0.012825973331928253,
-0.0013724833261221647,
0.0014562280848622322,
-0.02318054623901844,
0.0483858548104763,
0.012096463702619076,
-0.026902535930275917,
-0.0004673422372434288,
0.004295174963772297,
0.0016804779879748821,
-0.02417803928256035,
0.011486057192087173,
-0.015394145622849464,
0.05949226766824722,
-0.02758738212287426,
-0.03710078448057175,
-0.007510973606258631,
-0.07116442918777466,
0.01704670861363411,
0.008746673353016376,
-0.011232961900532246,
0.015409033745527267,
-0.011902919970452785,
0.016748949885368347,
-0.0008006928255781531,
0.009848382323980331,
0.05300112068653107,
0.055234313011169434,
0.03266417235136032,
-0.05240560322999954,
0.009520847350358963,
0.03796428442001343,
-0.028048908337950706,
0.016168318688869476,
0.02527974732220173,
-0.0004124428960494697,
0.034272074699401855,
0.005396883934736252,
0.01245377492159605,
-0.01671917364001274,
-0.010094033554196358,
-0.06574521213769913,
0.038142941892147064,
-0.003952752333134413,
-0.01288552489131689,
0.031145602464675903,
0.02173641510307789,
-0.054817453026771545,
-0.013726694509387016,
-0.0037908456288278103,
0.002132699592038989,
0.014210552908480167,
-0.022287270054221153,
-0.01393512636423111,
-0.01420310977846384,
0.030579859390854836,
-0.06461372971534729,
0.0397508405148983,
0.0756903663277626,
-0.01858016848564148,
-0.004637598060071468,
0.008776449598371983,
0.006625140085816383,
-0.03796428442001343,
0.027051415294408798,
-0.07765557616949081,
-0.01598966494202614,
0.007376981899142265,
-0.015289929695427418,
-0.015468585304915905,
0.007336040027439594,
0.0069415089674293995,
0.021632198244333267,
-0.030296988785266876,
0.013629922643303871,
-0.05118479207158089,
-0.018803488463163376,
0.004328673239797354,
-0.02356763370335102,
0.031145602464675903,
-0.029567480087280273,
-0.00036498752888292074,
-0.017895322293043137,
-0.03212820738554001,
-0.02510109357535839,
-0.024684229865670204,
-0.06634072959423065,
-0.07187905162572861,
0.014984726905822754,
-0.02797446772456169,
0.01266964990645647,
-0.018222857266664505,
-0.033259693533182144,
0.02050071395933628,
-0.024103600531816483,
-0.041835155338048935,
-0.015647241845726967,
-0.029195280745625496,
0.033021483570337296,
0.01247610617429018,
0.027646932750940323,
0.011821036227047443,
-0.01043645665049553,
0.01829729788005352,
0.0227487962692976,
0.0009584121289663017,
0.05612759292125702,
0.0170020442456007,
0.013696919195353985,
0.039959270507097244,
0.05565117672085762,
-0.05326910316944122,
-0.005925406236201525,
0.01834196038544178,
-0.005341053940355778,
0.016302311792969704,
0.004164905287325382,
-0.008463802747428417,
-0.007816176861524582,
-0.06139792874455452,
0.015118719078600407,
-0.0030818067025393248,
-0.036237284541130066,
-0.06047487631440163,
-0.06360134482383728,
-0.018877927213907242,
0.05038084089756012,
-0.011508389376103878,
0.003697795793414116,
-0.052078068256378174,
-0.03555243834853172,
0.02192995883524418,
-0.008344698697328568,
0.01590033620595932,
-0.04665885120630264,
-0.030192773789167404,
-0.010525784455239773,
0.04511050507426262,
-0.03599907457828522,
-0.04329417273402214,
0.01192525215446949,
0.0009937710128724575,
0.025130867958068848,
0.0007723126909695566,
-0.01743379607796669,
-0.040971651673316956,
-0.009878158569335938,
0.021617311984300613,
-0.008925328962504864,
0.03308103606104851,
0.01710626110434532,
0.020247619599103928,
0.0013427074300125241,
-0.008515910245478153,
-0.011984803713858128,
-0.0034893646370619535,
-0.03692213073372841,
-0.033974312245845795,
0.03668392077088356,
0.014471092261373997,
-0.012565433979034424,
0.05082748085260391,
0.018892815336585045,
0.04350260645151138,
-0.014709299430251122,
-0.02499687671661377,
-0.030490532517433167,
-0.019145909696817398,
-0.018997030332684517,
-0.02825733833014965,
0.016153432428836823,
-0.0010793767869472504,
-0.0028007966466248035,
-0.050172410905361176,
-0.012803641147911549,
-0.021944846957921982,
-0.009729279205203056,
0.041060980409383774,
0.014701856300234795,
0.04823697358369827,
-0.046718403697013855,
0.030162997543811798,
0.012327226810157299,
0.02404404804110527,
0.021438656374812126,
-0.009334747679531574,
-0.018475953489542007,
-0.0005857479991391301,
0.03011833317577839,
-0.06913966685533524,
-0.028793305158615112,
0.041448067873716354,
0.01954788528382778,
-0.02432691864669323,
0.03299170732498169,
0.009438963606953621,
-0.036951906979084015,
0.002350436057895422,
0.048772942274808884,
0.024505574256181717,
0.018088866025209427,
0.035611990839242935,
0.03284282982349396,
0.0000014866146784697776,
0.01872904784977436,
0.010481121018528938,
-0.041835155338048935,
0.03002900630235672,
0.016034327447414398,
-0.02830200269818306,
-0.03263439983129501,
0.002436041599139571,
-0.0036605759523808956,
-0.061517030000686646,
-0.004522216506302357,
-0.00003672556340461597,
0.01704670861363411,
0.03528445586562157,
-0.018952367827296257,
-0.03430184721946716,
0.01786554604768753,
0.003498669480904937,
-0.013838354498147964,
0.023954719305038452,
0.013294944539666176,
0.010309909470379353,
-0.008225595578551292,
-0.002607253147289157,
-0.006703301798552275,
-0.0003133449354209006,
0.07890616357326508,
0.005274058319628239,
0.0019987081177532673,
-0.020902689546346664,
-0.05502588301897049,
0.016644734889268875,
-0.02443113550543785,
0.017493346706032753,
-0.03361700475215912,
0.012200679630041122,
0.008329810574650764,
0.04171605035662651,
0.02192995883524418,
0.008396807126700878,
-0.026649439707398415,
0.08081182092428207,
0.020128516480326653,
-0.053894396871328354,
-0.052226945757865906,
0.041835155338048935,
-0.02309121936559677,
0.0023597409017384052,
-0.023106107488274574,
-0.029373936355113983,
0.022733908146619797,
0.015468585304915905,
-0.023120993748307228,
0.018267521634697914,
-0.010414124466478825,
-0.024446021765470505,
-0.02356763370335102,
-0.05642535164952278,
0.0007541679660789669,
-0.02097712829709053,
0.0033795658964663744,
-0.027527829632163048,
-0.012409110553562641,
0.022689243778586388,
0.04368126019835472,
0.04505095258355141,
0.027512941509485245,
-0.028227563947439194,
0.004198403563350439,
-0.011128746904432774,
-0.03433162346482277,
-0.02145354449748993,
-0.05377529561519623,
-0.011314845643937588,
-0.011776372790336609,
-0.04174582660198212,
0.017225364223122597,
-0.050887029618024826,
0.008262814953923225,
-0.002294606063514948,
0.02246592380106449,
0.004633876029402018,
-0.0034018978476524353,
-0.05127411708235741,
0.038768235594034195,
-0.016153432428836823,
0.05234605073928833,
0.026173025369644165,
-0.0006732147303409874,
0.00017458453658036888,
-0.0004471038992051035,
-0.034837815910577774,
0.0469268336892128,
0.024833109229803085,
0.05472812429070473,
-0.02203417383134365,
0.01111385878175497,
-0.02553284354507923,
0.03855980560183525,
-0.05582983419299126,
-0.02505642920732498,
-0.01810375414788723,
0.033646777272224426,
0.037428319454193115,
-0.00914864894002676,
-0.025994369760155678,
0.024773556739091873,
0.03826204687356949,
0.0071908822283148766,
0.00015585828805342317,
0.020604930818080902,
-0.01408400572836399,
-0.009818606078624725,
-0.010183361358940601,
0.0005745820235460997,
-0.03537378087639809,
0.0011128747137263417,
0.018609944730997086,
0.007630077190697193,
0.02197462134063244,
0.014165889471769333,
-0.018207969143986702,
0.017657114192843437,
0.000998423551209271,
0.002097340766340494,
-0.061040617525577545,
0.026217689737677574,
0.010481121018528938,
0.0246693417429924,
0.02326987497508526,
-0.046480197459459305,
-0.0641968622803688,
0.03415296971797943,
-0.04257955402135849,
-0.06407775729894638,
0.05499610677361488,
-0.002979452023282647,
-0.00909654051065445,
0.039542410522699356,
-0.07128352671861649,
0.011389286257326603,
0.02748316526412964,
-0.006841015536338091,
0.028852857649326324,
-0.00019575335318222642,
-0.032157983630895615,
0.045616693794727325,
0.024580014869570732,
-0.05478767678141594,
-0.036088403314352036,
-0.02145354449748993,
-0.032783277332782745,
-0.02743850089609623,
-0.053656190633773804,
0.007868284359574318,
0.06157658249139786,
-0.02763204462826252,
-0.012900413013994694,
-0.04281776025891304,
0.040018822997808456,
-0.00657303212210536,
0.00003931350875063799,
-0.004808809608221054,
-0.03960196301341057,
-0.023493193089962006,
-0.032396189868450165,
0.012572878040373325,
0.037041231989860535,
0.00996004231274128,
0.00505073880776763,
0.00023122855054680258,
-0.03456983342766762,
0.06544744968414307,
0.04067389294505119,
0.00319718848913908,
-0.010116365738213062,
0.014456205070018768,
0.012297451496124268,
0.04966621845960617,
-0.0344805046916008,
-0.02264457941055298,
0.01738913170993328,
-0.004481274634599686,
-0.004127685446292162,
-0.042073361575603485,
-0.05666355788707733,
-0.008702009916305542,
-0.01125529408454895,
0.03224731236696243,
-0.04415767639875412,
-0.01475396379828453,
-0.04606333374977112,
0.02633679285645485,
-0.033408571034669876,
-0.06878235191106796,
0.03558221459388733,
-0.030490532517433167,
0.02279345877468586,
-0.019860532134771347,
-0.011716821230947971,
-0.00535222003236413,
-0.006241775117814541,
0.027453389018774033,
-0.02743850089609623,
-0.022183053195476532,
-0.01704670861363411,
0.01252077054232359,
0.025830602273344994,
-0.042639102786779404,
0.03698167949914932,
0.0531500019133091,
-0.0004668769834097475,
0.022808346897363663,
-0.029299495741724968,
-0.011225518770515919,
0.03212820738554001,
0.004194681532680988,
-0.0015837062383070588,
0.02480333298444748,
0.016555406153202057,
0.057259075343608856,
-0.03888734057545662,
-0.08694566041231155,
-0.005117734428495169,
-0.020277395844459534,
0.015185714699327946,
0.0011742875212803483,
0.0299396775662899,
-0.03644571453332901,
0.008508466184139252,
-0.027021639049053192,
0.011366954073309898,
-0.0579439215362072,
-0.0002185505290981382,
0.025517955422401428,
-0.014642303809523582,
-0.0017307248199358582,
0.04618243873119354,
0.0067219119518995285,
0.01496983878314495,
-0.0077491807751357555,
0.032306864857673645,
0.04299641400575638,
0.056395575404167175,
0.014307324774563313,
0.028852857649326324,
-0.039780616760253906,
-0.004388224799185991,
-0.027453389018774033,
0.007455143611878157,
0.000582956476137042,
0.007432811893522739,
0.05800347402691841,
-0.029388824477791786,
-0.025696611031889915,
-0.03817271813750267,
-0.016674509271979332,
0.002294606063514948,
-0.01695738174021244,
0.04338350147008896,
0.03903621807694435,
-0.027364062145352364,
-0.011768928728997707,
-0.045467816293239594,
0.060087788850069046,
0.058450113981962204,
-0.032396189868450165,
-0.02815312333405018,
-0.030669188126921654,
-0.023671848699450493,
-0.029061289504170418,
0.007596579380333424,
-0.014128669165074825,
-0.022585028782486916,
-0.02240637317299843,
-0.005214506294578314,
-0.014478536322712898,
-0.014858179725706577,
0.0023485750425606966,
-0.02279345877468586,
0.027855364605784416,
0.03698167949914932,
-0.005891908425837755,
0.010146141983568668,
-0.04987465217709541,
-0.04910047724843025,
-0.028078684583306313,
0.06443507224321365,
0.0027412448544055223,
0.04582512751221657,
0.03263439983129501,
0.025741275399923325,
-0.013704363256692886,
-0.002644472988322377,
0.02173641510307789,
-0.014091449789702892,
0.03957218676805496,
0.010592780075967312,
-0.03662436828017235,
-0.004030914045870304,
-0.05329887941479683,
0.029388824477791786,
0.04314529523253441,
0.019265014678239822,
-0.0011510250624269247,
-0.033349018543958664,
-0.02728962153196335,
-0.036415938287973404,
-0.009848382323980331,
-0.006844737567007542,
0.000399648561142385,
0.010883095674216747,
-0.00605939794331789,
0.06246986240148544,
-0.05809280276298523,
0.2620280086994171,
0.04847518354654312,
0.04400879517197609,
-0.004559436347335577,
0.010168473236262798,
0.029820574447512627,
0.031681567430496216,
-0.02069425769150257,
-0.004812531638890505,
-0.014746519736945629,
0.011694489046931267,
-0.034510280936956406,
0.007563081104308367,
0.0071648284792900085,
0.0021438654512166977,
0.059164732694625854,
0.003997416235506535,
-0.02069425769150257,
0.06360134482383728,
-0.008292591199278831,
-0.04076322168111801,
0.0277809239923954,
-0.0474032498896122,
0.00328651606105268,
0.010555560700595379,
0.01271431427448988,
-0.017538011074066162,
-0.013332163915038109,
-0.0030408648308366537,
0.005259170196950436,
-0.01695738174021244,
-0.006532090250402689,
0.015453697182238102,
-0.02696208655834198,
-0.0474032498896122,
0.01226023118942976,
-0.014597640372812748,
0.013309831731021404,
-0.03203887864947319,
-0.023001890629529953,
-0.018505727872252464,
0.018073977902531624,
-0.028569987043738365,
0.01132973376661539,
0.01386813074350357,
0.05633602291345596,
0.027661820873618126,
-0.01944367028772831,
-0.018178192898631096,
-0.06133837625384331,
0.06217209994792938,
-0.004075577948242426,
0.022674355655908585,
0.024222703650593758,
-0.07384426146745682,
0.03921487554907799,
0.026039034128189087,
0.0022518031764775515,
-0.002015457022935152,
0.052226945757865906,
0.04761167988181114,
0.009952598251402378,
-0.05329887941479683,
0.0023653239477425814,
-0.022138388827443123,
0.06336313486099243,
-0.012342114932835102,
0.0249075498431921,
-0.010302465409040451,
0.014240329153835773,
0.012170903384685516,
-0.016108768060803413,
-0.03721988946199417,
-0.01953299716114998,
0.03668392077088356,
0.006342269014567137,
-0.03668392077088356,
0.03186022490262985,
-0.010868207551538944,
-0.01065233163535595,
0.0010188944870606065,
-0.023150769993662834,
-0.009952598251402378,
-0.014865623787045479,
0.044514987617731094,
0.035076022148132324,
-0.0018209830159321427,
-0.05139322206377983,
-0.002514203544706106,
0.005099124740809202,
-0.0035433333832770586,
0.01218579150736332,
-0.015677016228437424,
-0.04052501544356346,
0.019384117797017097
] |
1210_11 | A 2004 analysis of radiometric measurements in the inner Solar System suggested that the secular increase in the unit distance was much larger than can be accounted for by solar radiation, + metres per century.
The measurements of the secular variations of the astronomical unit are not confirmed by other authors and are quite controversial.
Furthermore, since 2010, the astronomical unit has not been estimated by the planetary ephemerides.
Examples
The following table contains some distances given in astronomical units. It includes some examples with distances that are normally not given in astronomical units, because they are either too short or far too long. Distances normally change over time. Examples are listed by increasing distance.
See also
Orders of magnitude (length)
Gigametre
References
Further reading
External links
The IAU and astronomical units
Recommendations concerning Units (HTML version of the IAU Style Manual)
Chasing Venus, Observing the Transits of Venus
Transit of Venus
Celestial mechanics
Unit
Units of length | [
0.009895862080156803,
0.008785911835730076,
0.04494580999016762,
-0.01561138965189457,
-0.035028327256441116,
0.03474002704024315,
-0.019085392355918884,
-0.010515705682337284,
-0.002605502028018236,
0.06359875202178955,
0.051374878734350204,
0.008050749078392982,
-0.028714578598737717,
-0.028613673523068428,
-0.05356594920158386,
-0.024490999057888985,
-0.010904909111559391,
-0.003715453203767538,
-0.06573216617107391,
0.009967937134206295,
-0.0027172178961336613,
-0.0031154309399425983,
-0.08360670506954193,
-0.052902862429618835,
-0.012454516254365444,
0.04321601614356041,
0.06434833258390427,
0.03130926936864853,
0.034855347126722336,
0.09669547528028488,
0.025471214205026627,
-0.04079430550336838,
0.010616609826683998,
-0.04093845561146736,
-0.004728103056550026,
0.015553729608654976,
0.036095030605793,
-0.021420614793896675,
0.04491697996854782,
-0.04638730734586716,
0.028181225061416626,
-0.039929408580064774,
0.053162332624197006,
-0.016115913167595863,
-0.014378911815583706,
0.007726412732154131,
-0.015726709738373756,
-0.05114423856139183,
-0.028527183458209038,
-0.030011923983693123,
0.002675774972885847,
-0.009124662727117538,
0.0031857036519795656,
-0.006429067347198725,
-0.0015982574550434947,
0.000755883869715035,
-0.013946463353931904,
-0.03923749178647995,
-0.0451187901198864,
0.010220198892056942,
0.0038848286494612694,
0.024563072249293327,
-0.01928720250725746,
-0.05604531988501549,
-0.010558949783444405,
0.05068296194076538,
0.01388880331069231,
-0.013542844913899899,
-0.03309672325849533,
-0.025399139150977135,
-0.00784893985837698,
0.03537428379058838,
0.012713984586298466,
-0.0055029066279530525,
-0.030819160863757133,
0.017355598509311676,
-0.010385970585048199,
0.010948154143989086,
-0.011459884233772755,
0.04096728563308716,
0.019171882420778275,
0.03817078471183777,
-0.046935074031353,
-0.04788646101951599,
-0.015669049695134163,
-0.01811959035694599,
-0.009434584528207779,
0.0023442311212420464,
0.03577790409326553,
0.009391339495778084,
-0.010040012188255787,
0.03194352611899376,
-0.022847693413496017,
-0.006695743650197983,
0.03410577028989792,
-0.009297641925513744,
-0.020714281126856804,
0.03661397099494934,
0.025283820927143097,
0.009405754506587982,
0.0333561934530735,
0.0640600323677063,
-0.027301913127303123,
0.018566453829407692,
-0.018811509013175964,
0.09496568143367767,
-0.007957051508128643,
0.05365243926644325,
0.008093994110822678,
-0.053710099309682846,
0.01796102710068226,
0.017514163628220558,
0.02443333901464939,
0.018422305583953857,
0.030444372445344925,
0.06215725839138031,
-0.04950093477964401,
0.009153492748737335,
-0.07167112827301025,
0.00002688725908228662,
0.04350431635975838,
-0.009593148715794086,
0.0252549909055233,
0.010948154143989086,
0.018869169056415558,
-0.0031262419652193785,
0.011885125190019608,
0.02957947552204132,
-0.000005046639671490993,
-0.04534943029284477,
-0.03534545376896858,
-0.041976332664489746,
-0.021982796490192413,
-0.0029514608904719353,
0.024015305563807487,
0.0010405791690573096,
0.03932398185133934,
0.028368620201945305,
-0.003225344931706786,
-0.04555124044418335,
-0.027546968311071396,
0.0031172328162938356,
-0.04021770879626274,
0.0595625676214695,
-0.025038765743374825,
0.051922645419836044,
0.015106866136193275,
0.03990057855844498,
-0.03505715727806091,
-0.014422156848013401,
0.010047219693660736,
-0.00007731142250122502,
0.004792970605194569,
0.05728500708937645,
-0.02725866809487343,
-0.014587928541004658,
-0.00965080875903368,
-0.03237597644329071,
-0.0036686044186353683,
-0.013607711531221867,
0.007030891254544258,
-0.006328162737190723,
0.0017946611624211073,
0.03528779372572899,
-0.000108956744952593,
0.008922853507101536,
-0.06924941390752792,
-0.007189455907791853,
-0.007110173348337412,
-0.03329853340983391,
0.011034643277525902,
0.002637935569509864,
-0.037565357983112335,
0.0018469153437763453,
0.040188878774642944,
0.08556713908910751,
0.006634480319917202,
-0.004227183759212494,
-0.006825478281825781,
0.003580312943086028,
-0.015337505377829075,
-0.007402076385915279,
0.019806139171123505,
0.01576995477080345,
-0.00036195036955177784,
-0.02065662108361721,
-0.004573142621666193,
0.020454812794923782,
0.027633456513285637,
-0.01876826398074627,
-0.01525101624429226,
0.024245943874120712,
-0.03710407763719559,
0.021809818223118782,
0.0049659498035907745,
-0.003578511066734791,
0.011913955211639404,
0.025557704269886017,
0.010479668155312538,
-0.05725617706775665,
-0.013658164069056511,
0.027114519849419594,
-0.05296052247285843,
0.05045232176780701,
0.003520851256325841,
-0.024058550596237183,
0.05261456221342087,
0.05330648273229599,
-0.005459662061184645,
0.035576093941926956,
0.04399442300200462,
0.015539314597845078,
0.025817174464464188,
0.01330499816685915,
0.00698764668777585,
0.00046398118138313293,
-0.009103040210902691,
0.036412160843610764,
-0.04728103429079056,
0.026105472818017006,
0.00761830061674118,
0.023063918575644493,
0.008375084958970547,
0.046329647302627563,
0.01686549000442028,
-0.023308971896767616,
0.018652943894267082,
0.06602046638727188,
-0.007488565985113382,
0.04281239956617355,
-0.02995426394045353,
0.021680083125829697,
0.014407741837203503,
-0.03920866176486015,
0.014732077717781067,
0.0009513866389170289,
0.022400829941034317,
0.04359080642461777,
-0.008497612550854683,
-0.002722623525187373,
0.019272787496447563,
0.013773484155535698,
0.026307281106710434,
-0.022400829941034317,
-0.0015721303643658757,
0.06509791314601898,
0.0017946611624211073,
-0.004756933078169823,
0.018278155475854874,
0.04653145372867584,
-0.038372594863176346,
0.000632005394436419,
0.0496162548661232,
-0.02183864824473858,
-0.0703449472784996,
-0.003794735297560692,
0.0284262802451849,
0.03367331996560097,
-0.014652795158326626,
-0.08279946446418762,
-0.01045804563909769,
0.02542796917259693,
0.04537826031446457,
-0.0023099954705685377,
0.016533946618437767,
0.02417386882007122,
0.010674269869923592,
0.045868366956710815,
0.029017291963100433,
-0.0004601521941367537,
-0.045695386826992035,
-0.01722586341202259,
-0.08343372493982315,
-0.0387762114405632,
-0.017888952046632767,
-0.038747381418943405,
0.004994779825210571,
-0.033702149987220764,
0.03419226035475731,
-0.013369864784181118,
-0.03102097101509571,
-0.009038172662258148,
-0.015063622035086155,
0.0027892927173525095,
-0.02410179376602173,
0.03104979917407036,
0.011618448421359062,
0.05157668888568878,
0.007567848078906536,
0.018725018948316574,
0.004638009704649448,
-0.021694498136639595,
-0.03646982088685036,
-0.03448055684566498,
0.029204687103629112,
0.011553581804037094,
0.024966690689325333,
0.049933381378650665,
0.0014117640675976872,
-0.061119385063648224,
-0.014241969212889671,
-0.01748533360660076,
-0.02932000532746315,
-0.010573364794254303,
-0.02245848998427391,
0.0025009936653077602,
-0.0056398487649858,
0.012432893738150597,
0.017643896862864494,
0.004609180148690939,
-0.029478570446372032,
-0.023049503564834595,
-0.006252483930438757,
0.06440599262714386,
-0.03589322417974472,
0.03623918071389198,
0.022689130157232285,
-0.00047208956675603986,
0.010277858935296535,
-0.039179831743240356,
-0.022256681695580482,
-0.015294261276721954,
-0.007048910018056631,
0.00006137615127954632,
-0.023121578618884087,
0.053623609244823456,
-0.0019892628770321608,
-0.05267222225666046,
0.0015757341170683503,
-0.015942933037877083,
-0.051663175225257874,
0.014775322750210762,
-0.04284122958779335,
0.013874388299882412,
-0.00820210576057434,
-0.004025374539196491,
-0.0019784518517553806,
-0.006911967881023884,
-0.0027838870882987976,
0.007611093111336231,
0.06198428198695183,
-0.00043379986891523004,
-0.05564170330762863,
0.031338099390268326,
-0.04203399270772934,
0.01741325855255127,
-0.014587928541004658,
0.0023784665390849113,
0.00857689417898655,
0.011877917684614658,
-0.0279650017619133,
-0.006324558984488249,
0.0108328340575099,
0.04212047904729843,
0.01502037700265646,
0.025961322709918022,
-0.010587779805064201,
-0.00735522760078311,
-0.040996115654706955,
-0.014760907739400864,
-0.007697582710534334,
0.006558801978826523,
0.010854456573724747,
-0.03857440501451492,
-0.025399139150977135,
0.007182248402386904,
0.020598962903022766,
0.00034077840973623097,
0.009283226914703846,
-0.008771496824920177,
-0.007164229638874531,
-0.01858086884021759,
-0.04310069605708122,
-0.03223182633519173,
-0.008310218341648579,
0.02923351712524891,
0.038660891354084015,
0.07046026736497879,
0.01411223504692316,
-0.041543882340192795,
-0.02290535345673561,
-0.004587557632476091,
-0.04681975394487381,
-0.017816876992583275,
-0.0342499203979969,
0.03047320246696472,
-0.01814842037856579,
-0.00942737702280283,
0.003637972753494978,
-0.044340383261442184,
0.006670517846941948,
0.0026595580857247114,
-0.006854308303445578,
-0.020901676267385483,
-0.03592205420136452,
-0.016764584928750992,
0.02398647554218769,
0.04618549719452858,
0.0029983094427734613,
-0.005567774176597595,
0.00978775043040514,
0.035316623747348785,
0.02146385982632637,
0.005636245012283325,
-0.020094439387321472,
0.017168203368782997,
-0.018076345324516296,
0.055065106600522995,
0.012447308748960495,
0.00865617673844099,
-0.011697730980813503,
-0.01307435892522335,
-0.007502980995923281,
-0.02867133356630802,
0.012159009464085102,
0.011683315970003605,
-0.006436274852603674,
-0.005942562595009804,
-0.007560640573501587,
0.004234391264617443,
-0.00807237159460783,
0.0248081274330616,
-0.009665222838521004,
0.0649825930595398,
-0.023107163608074188,
-0.057515647262334824,
-0.001587446196936071,
-0.07011431455612183,
0.02317923866212368,
0.026047812774777412,
-0.03358682990074158,
-0.00016644761490169913,
-0.04390793293714523,
-0.0025622572284191847,
0.001693756552413106,
0.01523660123348236,
0.05996618792414665,
-0.02650909125804901,
0.005675886292010546,
-0.03961227834224701,
0.03416343033313751,
0.08937268704175949,
-0.009953522123396397,
0.008252558298408985,
0.013874388299882412,
0.014061782509088516,
0.03257778286933899,
0.0038559988606721163,
-0.000722999800927937,
-0.01976289413869381,
-0.006122749764472246,
-0.04229345917701721,
0.001042381045408547,
-0.041284412145614624,
0.0028055093716830015,
0.03646982088685036,
-0.02515408582985401,
-0.04745401069521904,
-0.010328310541808605,
0.016303306445479393,
0.0018883582670241594,
0.01739884354174137,
-0.007275945506989956,
0.016807829961180687,
-0.022516150027513504,
0.025456799194216728,
-0.06244555860757828,
0.017110545188188553,
0.04085196554660797,
-0.004958742298185825,
0.0468774139881134,
0.017816876992583275,
0.0017523171845823526,
0.012490552850067616,
-0.0005743456422351301,
-0.03635450080037117,
-0.008634554222226143,
0.0003398774715606123,
-0.023669345304369926,
-0.00807957910001278,
0.002405494684353471,
-0.013413109816610813,
0.006173201836645603,
-0.018249325454235077,
0.023020673543214798,
-0.038833871483802795,
-0.03136692941188812,
0.03623918071389198,
-0.030732670798897743,
0.03067501075565815,
-0.03030022233724594,
0.005034421104937792,
-0.014991546981036663,
-0.027402818202972412,
-0.017715971916913986,
-0.004522690083831549,
-0.00843274500221014,
-0.019964704290032387,
0.018162835389375687,
-0.02949298545718193,
0.0021514310501515865,
-0.006630876567214727,
-0.03384630009531975,
0.05088476836681366,
0.014905056916177273,
-0.06077342480421066,
-0.037651848047971725,
0.016087083145976067,
0.02722983807325363,
0.02506759576499462,
-0.011445469222962856,
0.03347150981426239,
0.031165119260549545,
-0.00637861480936408,
0.004187542479485273,
0.019243957474827766,
0.051634348928928375,
-0.018537623807787895,
0.014501438476145267,
0.029118197038769722,
0.027546968311071396,
-0.03497066721320152,
0.0028343393933027983,
0.006663310341536999,
-0.020815186202526093,
-0.00022140461078379303,
-0.0036217558663338423,
-0.015207771211862564,
-0.05618946999311447,
-0.09750271588563919,
0.0017613265663385391,
-0.013586089015007019,
-0.018638528883457184,
-0.04852071776986122,
-0.024375678971409798,
0.014746492728590965,
0.05618946999311447,
0.01579878479242325,
-0.01832140050828457,
-0.03727705776691437,
-0.00991748459637165,
0.05350828915834427,
-0.018912412226200104,
-0.003964110743254423,
-0.024217113852500916,
-0.030357882380485535,
-0.04200516268610954,
0.0037875277921557426,
-0.0676926001906395,
0.0044001629576087,
0.015539314597845078,
-0.00038379800389520824,
0.009859825484454632,
-0.027460478246212006,
-0.00601824140176177,
-0.05445967614650726,
0.014126650057733059,
-0.0017577228136360645,
-0.019186297431588173,
-0.005611018743366003,
-0.01471045520156622,
0.024375678971409798,
-0.039381641894578934,
-0.025701854377985,
0.025413554161787033,
-0.025211745873093605,
-0.02100258134305477,
-0.007020079996436834,
0.020498057827353477,
-0.012483345344662666,
0.014861812815070152,
0.059504907578229904,
0.042437609285116196,
0.025312650948762894,
-0.016894320026040077,
-0.02515408582985401,
-0.057515647262334824,
-0.026494676247239113,
-0.029262347146868706,
-0.014717662706971169,
0.020094439387321472,
-0.05330648273229599,
-0.01993587426841259,
-0.021406199783086777,
-0.01502037700265646,
-0.05898597091436386,
-0.010313895530998707,
0.044167403131723404,
0.0194025207310915,
0.03456704691052437,
-0.027676701545715332,
0.0396987684071064,
-0.01976289413869381,
0.01686549000442028,
0.03217416629195213,
0.019690820947289467,
-0.06648174673318863,
0.007157022133469582,
0.015265431255102158,
-0.042264629155397415,
-0.02950740046799183,
0.02498110570013523,
0.021795403212308884,
-0.00024843262508511543,
0.03067501075565815,
0.001985659124329686,
-0.036210350692272186,
0.014551891013979912,
0.03770950809121132,
0.03799780458211899,
-0.009542696177959442,
0.038459084928035736,
-0.004944327287375927,
-0.015899688005447388,
0.01811959035694599,
-0.00830301083624363,
-0.07513071596622467,
-0.018811509013175964,
0.037219397723674774,
-0.02283327840268612,
-0.03104979917407036,
0.018970072269439697,
0.015942933037877083,
-0.03995823860168457,
-0.0248081274330616,
-0.007319190539419651,
0.0369599275290966,
0.01239685621112585,
-0.022083701565861702,
-0.028844313696026802,
0.03344267979264259,
-0.01840789057314396,
0.006342577748000622,
-0.013319413177669048,
0.01651953160762787,
0.016562776640057564,
0.005996618885546923,
0.014465400949120522,
-0.029550645500421524,
-0.007265134248882532,
0.09519632160663605,
0.01068147737532854,
0.01640421152114868,
-0.01659160666167736,
-0.023568442091345787,
0.012497760355472565,
0.014609551057219505,
0.07466943562030792,
-0.03978525847196579,
-0.011798636056482792,
0.03416343033313751,
0.0396987684071064,
0.013636541552841663,
0.0036415765061974525,
-0.022761205211281776,
0.10038570314645767,
-0.043244846165180206,
-0.0387762114405632,
-0.015669049695134163,
0.05022168159484863,
-0.02534148097038269,
0.01624564826488495,
-0.0015442013973370194,
-0.02444775402545929,
-0.00040767277823761106,
0.02779202163219452,
-0.009225567802786827,
0.03136692941188812,
-0.019618745893239975,
0.001118059502914548,
-0.025874832645058632,
-0.02410179376602173,
-0.01403295248746872,
-0.0008189493091776967,
0.03139575943350792,
-0.042524099349975586,
-0.029983093962073326,
0.013369864784181118,
0.05457499623298645,
0.003241561586037278,
0.04990455508232117,
0.004158712923526764,
0.019431350752711296,
0.001144186593592167,
-0.014097820036113262,
-0.021406199783086777,
-0.04725220426917076,
-0.0011991435894742608,
-0.008620139211416245,
-0.022689130157232285,
0.019604330882430077,
-0.01966199092566967,
0.03257778286933899,
0.03652748093008995,
0.04359080642461777,
0.001920791924931109,
-0.007236304227262735,
-0.028829898685216904,
-0.00029640737920999527,
-0.006486726924777031,
0.026638826355338097,
0.04670443385839462,
0.022948598489165306,
0.049472104758024216,
-0.023842325434088707,
-0.053162332624197006,
0.03779599443078041,
0.015942933037877083,
0.06198428198695183,
-0.02326572686433792,
-0.006065089721232653,
-0.04699273407459259,
0.0541425496339798,
-0.050654131919145584,
-0.01442936435341835,
-0.00678583700209856,
0.05114423856139183,
0.025226160883903503,
-0.019517840817570686,
-0.014083405025303364,
0.0396987684071064,
0.013485184870660305,
0.006746196188032627,
-0.01902773231267929,
-0.001036975416354835,
-0.0060074301436543465,
0.03136692941188812,
0.02949298545718193,
-0.008245350793004036,
-0.005160551518201828,
-0.041803352534770966,
0.02806590497493744,
-0.007697582710534334,
0.028339790180325508,
-0.019503425806760788,
-0.016923150047659874,
0.005582189187407494,
0.012620287947356701,
-0.004165920428931713,
-0.04454219341278076,
0.0108184190467,
0.005722734611481428,
0.053998399525880814,
-0.02453424222767353,
-0.028757823631167412,
-0.06717365980148315,
0.03326970338821411,
-0.08971863985061646,
-0.04944327473640442,
0.04895316809415817,
-0.012159009464085102,
-0.015496070496737957,
0.023424291983246803,
-0.03808429464697838,
0.00343976728618145,
-0.0030199317261576653,
-0.0030920065473765135,
0.0433025062084198,
0.03534545376896858,
-0.0983099490404129,
0.045868366956710815,
-0.026018982753157616,
-0.0012865342432633042,
-0.010422008112072945,
-0.012238292023539543,
-0.04635847732424736,
-0.055353403091430664,
-0.019373690709471703,
0.042898889631032944,
0.023294556885957718,
-0.02353961206972599,
-0.0252694059163332,
-0.013326620683073997,
-0.006263295188546181,
-0.02434684894979,
0.013470769859850407,
-0.03638333082199097,
-0.01435008179396391,
-0.04699273407459259,
-0.022977428510785103,
0.009895862080156803,
0.012915793806314468,
0.0037010381929576397,
0.03393279016017914,
-0.003299221396446228,
-0.04607017710804939,
0.05088476836681366,
0.0387762114405632,
0.004875856451690197,
-0.010133708827197552,
0.01930161751806736,
0.0360662005841732,
0.031107459217309952,
-0.033529169857501984,
0.03681578114628792,
0.031107459217309952,
-0.016015008091926575,
-0.0015910499496385455,
-0.02698478475213051,
-0.031799376010894775,
0.011041850782930851,
-0.031251609325408936,
-0.021535933017730713,
-0.00030203821370378137,
-0.030011923983693123,
-0.01732676848769188,
-0.02921910211443901,
-0.044225063174963,
-0.026091057807207108,
0.015265431255102158,
-0.027301913127303123,
0.033875130116939545,
-0.01046525314450264,
0.008108409121632576,
0.0038451876025646925,
-0.001626186422072351,
0.025687439367175102,
-0.004450615495443344,
-0.006443482358008623,
-0.0496162548661232,
-0.005830846726894379,
-0.017932197079062462,
-0.007776864804327488,
0.03664280101656914,
0.009304849430918694,
-0.0013414912391453981,
0.024159453809261322,
0.03736354783177376,
0.04410974308848381,
0.023943230509757996,
-0.0038559988606721163,
-0.015092451125383377,
0.06717365980148315,
-0.029363250359892845,
0.0055029066279530525,
-0.02281886339187622,
-0.09905952960252762,
0.0342787504196167,
-0.017067300155758858,
-0.04356197640299797,
0.016620436683297157,
0.02686946466565132,
-0.016706926748156548,
-0.0016856481088325381,
-0.004782159347087145,
0.014559098519384861,
-0.05708319693803787,
-0.01434287428855896,
0.03471119701862335,
-0.02894521690905094,
-0.027446063235402107,
0.038199614733457565,
-0.016721339896321297,
-0.009506658650934696,
0.03644099086523056,
0.0288587287068367,
-0.002902810461819172,
0.05725617706775665,
0.03128043934702873,
0.02328014187514782,
-0.02686946466565132,
0.039727598428726196,
0.013031113892793655,
-0.020253002643585205,
-0.0037226604763418436,
-0.00403258204460144,
0.058870650827884674,
0.01605825312435627,
-0.02434684894979,
-0.004940723534673452,
-0.005391190759837627,
0.001626186422072351,
-0.004591161385178566,
0.017643896862864494,
0.026321696117520332,
-0.0006648895214311779,
0.0040145632810890675,
-0.013939255848526955,
0.07103686779737473,
0.010796796530485153,
-0.021593593060970306,
-0.0005635343841277063,
-0.01411944255232811,
-0.0239144004881382,
-0.0019406124483793974,
-0.0026307282969355583,
-0.052902862429618835,
0.0018991695251315832,
-0.03321204334497452,
0.014530268497765064,
0.014465400949120522,
-0.002628926420584321,
0.010984190739691257,
-0.02129087969660759,
0.01366537157446146,
-0.01173376850783825,
0.03399045020341873,
0.0006419157143682241,
-0.05368126928806305,
-0.03004075400531292,
-0.009571526199579239,
0.03629684075713158,
-0.03350033983588219,
0.015899688005447388,
0.0247937124222517,
0.04924146458506584,
-0.04552241042256355,
-0.00032839056802913547,
-0.03465353697538376,
-0.02508201077580452,
0.01696639508008957,
0.033961620181798935,
-0.030098414048552513,
-0.021766573190689087,
-0.01811959035694599,
0.026840634644031525,
0.05339297279715538,
0.026855049654841423,
0.02228551171720028,
-0.03381747007369995,
-0.00392446992918849,
-0.035028327256441116,
0.03399045020341873,
-0.030098414048552513,
-0.03505715727806091,
0.04609900712966919,
-0.00044731388334184885,
0.04820358753204346,
-0.05180732533335686,
0.24470818042755127,
0.06446365267038345,
0.033529169857501984,
-0.003106421558186412,
0.022083701565861702,
0.028094734996557236,
0.0012189641129225492,
-0.031972356140613556,
-0.014991546981036663,
-0.02418828383088112,
-0.0026721712201833725,
-0.039641108363866806,
-0.012440101243555546,
0.031424589455127716,
0.008843570947647095,
0.02057013288140297,
0.012497760355472565,
-0.027820851653814316,
0.0802624374628067,
-0.02057013288140297,
-0.023669345304369926,
-0.00018525461200624704,
-0.02235758677124977,
0.017643896862864494,
0.017297938466072083,
0.003690226934850216,
0.021045826375484467,
-0.007812902331352234,
-0.04266824945807457,
-0.0514325387775898,
-0.012591457925736904,
-0.03768067806959152,
-0.012872549705207348,
-0.012202254496514797,
-0.05725617706775665,
0.005874091759324074,
-0.023135993629693985,
-0.03104979917407036,
0.01739884354174137,
-0.01712496019899845,
0.019445765763521194,
-0.0007103867246769369,
-0.012490552850067616,
-0.009139077737927437,
-0.010097671300172806,
0.0640600323677063,
0.04053483530879021,
0.010068842209875584,
-0.014746492728590965,
-0.060023847967386246,
0.06284917891025543,
-0.01185629516839981,
0.011625655926764011,
-0.012029275298118591,
-0.0901799201965332,
0.021896308287978172,
0.011877917684614658,
-0.009751712903380394,
0.009189530275762081,
0.01964757591485977,
0.041515052318573,
-0.01470324769616127,
-0.028844313696026802,
0.05365243926644325,
-0.03439406678080559,
0.055958833545446396,
-0.01749974861741066,
-0.028455108404159546,
-0.03618152067065239,
0.011906747706234455,
0.0014604144962504506,
-0.010508498176932335,
-0.010703099891543388,
0.016851074993610382,
0.03275076299905777,
0.007362435106188059,
-0.006800252012908459,
0.02725866809487343,
-0.04483048990368843,
-0.009052587673068047,
0.004010959528386593,
-0.0003772662312258035,
-0.028296545147895813,
-0.022876523435115814,
0.02769111655652523,
0.07674518972635269,
-0.023481952026486397,
-0.0016018612077459693,
0.023928815498948097,
0.029637135565280914,
-0.021593593060970306,
0.055180422961711884,
-0.03012724407017231,
-0.021608008071780205,
-0.025644194334745407
] |
1212_0 | An artist is a person engaged in an activity related to creating art, practicing the arts, or demonstrating an art. The common usage in both everyday speech and academic discourse refers to a practitioner in the visual arts only. However, the term is also often used in the entertainment business, especially in a business context, for musicians and other performers (although less often for actors). "Artiste" (French for artist) is a variant used in English in this context, but this use has become rare. Use of the term "artist" to describe writers is valid, but less common, and mostly restricted to contexts like used in criticism.
Dictionary definitions
The Oxford English Dictionary defines the older broad meanings of the term "artist":
A learned person or Master of Arts.
One who pursues a practical science, traditionally medicine, astrology, alchemy, chemistry.
A follower of a pursuit in which skill comes by study or practice.
A follower of a manual art, such as a mechanic.
One who makes their craft a fine art.
One who cultivates one of the fine arts – traditionally the arts presided over by the muses.
History of the term
The Greek word "techně", often translated as "art," implies mastery of any sort of craft. The adjectival Latin form of the word, "technicus",
became the source of the English words technique, technology, technical.
In Greek culture each of the nine Muses oversaw a different field of human creation:
Calliope (the 'beautiful of speech'): chief of the muses and muse of epic or heroic poetry
Clio (the 'glorious one'): muse of history
Erato (the 'amorous one'): muse of love or erotic poetry, lyrics, and marriage songs
Euterpe (the 'well-pleasing'): muse of music and lyric poetry
Melpomene (the 'chanting one'): muse of tragedy
Polyhymnia or Polymnia (the '[singer] of many hymns'): muse of sacred song, oratory, lyric, singing, and rhetoric
Terpsichore (the '[one who] delights in dance'): muse of choral song and dance
Thalia (the 'blossoming one'): muse of comedy and bucolic poetry
Urania (the 'celestial one'): muse of astronomy | [
-0.04207032173871994,
-0.03243040665984154,
0.003827190725132823,
-0.039653148502111435,
-0.0013551636366173625,
-0.050990842282772064,
0.03268938884139061,
-0.0504441000521183,
0.016963375732302666,
0.0017841039225459099,
0.013661344535648823,
-0.024502653628587723,
0.03582596033811569,
-0.019840963184833527,
-0.02746656909584999,
0.008323420770466328,
-0.030329767614603043,
-0.0010332335950806737,
-0.08068753778934479,
-0.007381010800600052,
0.030559973791241646,
0.024991843849420547,
-0.0394517183303833,
0.021581903100013733,
-0.013596598990261555,
0.07309070974588394,
0.05274616926908493,
0.07901854068040848,
0.023812033236026764,
0.029552819207310677,
-0.053925979882478714,
0.015668461099267006,
-0.029667921364307404,
-0.04825713485479355,
-0.015438253991305828,
-0.018589211627840996,
0.03073262982070446,
-0.04733630642294884,
-0.006676001939922571,
-0.050990842282772064,
0.01879064366221428,
-0.020977608859539032,
0.004967434797435999,
-0.009927675127983093,
-0.011582287959754467,
-0.0001686086179688573,
0.021107099950313568,
-0.029365776106715202,
0.02424367144703865,
-0.019294220954179764,
0.019020849838852882,
-0.0033146205823868513,
0.011783719062805176,
-0.02135169506072998,
0.016661228612065315,
-0.045465875416994095,
0.0414084792137146,
0.013193736784160137,
0.016071323305368423,
0.025035006925463676,
-0.0009496037382632494,
-0.009179502725601196,
0.012718934565782547,
-0.05542232468724251,
-0.012747710570693016,
-0.015769176185131073,
0.006093290634453297,
-0.010790951550006866,
-0.013157766312360764,
-0.001960356254130602,
-0.036430250853300095,
0.054501499980688095,
0.026358697563409805,
0.00822989922016859,
-0.027768714353442192,
0.004636512137949467,
-0.02879025787115097,
-0.02658890374004841,
0.029250672087073326,
-0.017927367240190506,
0.03660290688276291,
0.035394322127103806,
-0.009100369177758694,
0.03887620195746422,
-0.01620081439614296,
-0.0013731485232710838,
-0.016747556626796722,
0.004395514260977507,
0.014934676699340343,
-0.04756651446223259,
0.030876507982611656,
0.043825648725032806,
0.006006963085383177,
0.004748018458485603,
0.03035854361951351,
0.02940893918275833,
0.0005431445315480232,
0.03240162879228592,
-0.017884204164147377,
0.028646379709243774,
0.06054443120956421,
0.06779594719409943,
-0.029639147222042084,
0.03677556291222572,
-0.07441440224647522,
-0.007017715368419886,
-0.027106869965791702,
0.02066107466816902,
-0.0030682270880788565,
0.00089834671234712,
0.03038731962442398,
-0.013553434982895851,
0.029696697369217873,
-0.014387935400009155,
-0.009920481592416763,
0.03346633538603783,
-0.022171808406710625,
0.056832343339920044,
-0.00729108601808548,
-0.005021389573812485,
-0.034128181636333466,
0.012344848364591599,
-0.012157805263996124,
0.0030916074756532907,
0.013941909186542034,
-0.0246177576482296,
-0.028862198814749718,
0.03939416632056236,
-0.034473493695259094,
0.014337576925754547,
0.046127721667289734,
0.0012328661978244781,
0.0045106178149580956,
-0.018560435622930527,
-0.01586989313364029,
0.05847257003188133,
-0.009287412278354168,
0.051307376474142075,
0.02879025787115097,
-0.04624282196164131,
0.04632915183901787,
-0.006265945732593536,
-0.037379857152700424,
0.07165192067623138,
0.003971070051193237,
-0.011963567696511745,
0.01978341117501259,
0.017567668110132217,
-0.058040931820869446,
-0.007898976095020771,
-0.02972547337412834,
0.005345117766410112,
-0.02527960203588009,
0.05573886260390282,
-0.0426170639693737,
0.006294721737504005,
-0.027639223262667656,
0.024027852341532707,
0.019941678270697594,
0.026430636644363403,
-0.03294837102293968,
-0.017740324139595032,
0.0478830486536026,
0.03375409543514252,
0.0040609948337078094,
0.01614326238632202,
-0.036084942519664764,
-0.019164729863405228,
0.013265675865113735,
-0.014654112048447132,
0.026790335774421692,
0.020474031567573547,
-0.018186349421739578,
-0.04074663296341896,
-0.007122027687728405,
0.01454620249569416,
0.02585512027144432,
-0.031279370188713074,
-0.0016339299036189914,
-0.03165345638990402,
-0.007366622798144817,
-0.013905939646065235,
-0.009934869594871998,
0.029049241915345192,
-0.02138047106564045,
0.004413499031215906,
-0.04097684100270271,
0.00590265030041337,
-0.03214264661073685,
-0.014474262483417988,
0.0322289764881134,
0.031883664429187775,
-0.04077540710568428,
0.0011537325335666537,
0.01753889210522175,
-0.006942178588360548,
-0.02746656909584999,
-0.010747787542641163,
0.027034930884838104,
-0.06514856964349747,
0.004172501154243946,
0.028243517503142357,
-0.01614326238632202,
-0.007812649011611938,
0.024373162537813187,
-0.013136184774339199,
0.00795652810484171,
0.05640070512890816,
-0.031020388007164,
0.04704854637384415,
0.012682965025305748,
-0.0362863726913929,
-0.021466799080371857,
0.012157805263996124,
0.034790027886629105,
-0.02064668759703636,
0.0014405919937416911,
0.05349434167146683,
-0.05783949792385101,
0.048343461006879807,
0.020502807572484016,
0.010826921090483665,
0.019884126260876656,
0.038933753967285156,
-0.017984919250011444,
-0.03781149536371231,
-0.01715041883289814,
0.04342278838157654,
-0.021855274215340614,
-0.008201123215258121,
-0.025106946006417274,
0.02398468740284443,
0.004420693032443523,
-0.006042932625859976,
0.009244248270988464,
0.02129414491355419,
0.0017256529536098242,
0.003888339502736926,
0.029667921364307404,
0.020617911592125893,
-0.02553858421742916,
0.006118469405919313,
0.06526367366313934,
0.04762406647205353,
-0.01814318634569645,
0.004114949610084295,
0.01586989313364029,
-0.02914995700120926,
0.04822835698723793,
0.021884050220251083,
-0.010970800183713436,
0.02268977463245392,
0.025740016251802444,
0.022143032401800156,
-0.04946571961045265,
0.009330576285719872,
0.0361424945294857,
0.0026293951086699963,
-0.019294220954179764,
-0.051278602331876755,
-0.027970146387815475,
-0.014963452704250813,
0.01259663701057434,
0.008733476512134075,
0.010078748688101768,
-0.004971031565219164,
0.013517465442419052,
0.03323613107204437,
-0.048976533114910126,
-0.008143571205437183,
-0.021754557266831398,
-0.058702774345874786,
-0.037034545093774796,
0.036718010902404785,
-0.015524582006037235,
-0.004168904386460781,
0.01523682288825512,
-0.02850249968469143,
0.0671628788113594,
0.012826844118535519,
-0.021193427965044975,
0.015438253991305828,
-0.06917719542980194,
-0.01582672819495201,
-0.0022049511317163706,
0.049321841448545456,
-0.020286988466978073,
0.021107099950313568,
0.0030700257048010826,
0.04051642492413521,
0.009560782462358475,
-0.046156495809555054,
-0.02004239335656166,
-0.03775394335389137,
0.013546240516006947,
0.05490436032414436,
0.0177691001445055,
0.005456624552607536,
0.002917153760790825,
-0.029926905408501625,
-0.008121989667415619,
-0.008517657406628132,
-0.06250119209289551,
0.04043009877204895,
-0.0040969643741846085,
-0.0026797528844326735,
-0.04250195994973183,
0.0027894608210772276,
0.01296352967619896,
-0.007348638027906418,
-0.08529167622327805,
0.03142325207591057,
0.03375409543514252,
0.01654612459242344,
-0.05309148132801056,
0.024646533653140068,
0.01589866913855076,
-0.03263183683156967,
-0.03723597526550293,
0.019337384030222893,
-0.009632722474634647,
-0.07205478101968765,
-0.014905900694429874,
-0.023222127929329872,
-0.033811647444963455,
0.02199915237724781,
-0.0063270945101976395,
-0.053868427872657776,
0.00984134804457426,
-0.02068985067307949,
0.009862929582595825,
-0.00892051961272955,
-0.01179810706526041,
0.004355947487056255,
0.0014091184129938483,
0.0025988207198679447,
0.029840577393770218,
0.04497668519616127,
-0.015164883807301521,
-0.006852254271507263,
0.028214741498231888,
-0.07947895675897598,
-0.0025646493304520845,
0.012567861005663872,
-0.03752373531460762,
0.0394517183303833,
0.017927367240190506,
-0.0322289764881134,
-0.021884050220251083,
-0.020474031567573547,
0.012567861005663872,
-0.008798222057521343,
-0.012611025013029575,
-0.020776178687810898,
-0.007197564467787743,
0.023898359388113022,
0.0007657079258933663,
-0.019639531150460243,
-0.03565330430865288,
0.01681949570775032,
0.0009882713202387094,
0.055825188755989075,
0.03009955957531929,
-0.04877509921789169,
0.01101396419107914,
-0.052256979048252106,
-0.014272831380367279,
0.036027390509843826,
0.07320581376552582,
-0.06146525964140892,
-0.002776871435344219,
0.005927829071879387,
-0.03971070051193237,
-0.03271816298365593,
-0.043192580342292786,
-0.008776640519499779,
0.057724397629499435,
-0.012682965025305748,
-0.00048604243784211576,
-0.035739630460739136,
-0.004668884910643101,
0.0019639532547444105,
0.013373585417866707,
0.00889174360781908,
-0.005873874295502901,
-0.014222473837435246,
-0.03202754259109497,
0.005740785971283913,
0.010740594007074833,
-0.054846808314323425,
-0.0056436676532030106,
-0.004712048918008804,
0.012388012371957302,
-0.04022866487503052,
-0.030675077810883522,
0.014265637844800949,
0.052314531058073044,
-0.017970530316233635,
0.00420487392693758,
-0.00624076696112752,
0.06347957253456116,
0.051969222724437714,
0.0439695306122303,
0.03335123509168625,
-0.014006654731929302,
0.004355947487056255,
-0.041609909385442734,
0.02395591139793396,
0.023078247904777527,
0.0032858445774763823,
-0.035394322127103806,
0.03139447420835495,
-0.032804492861032486,
0.009740632027387619,
0.05110594630241394,
0.032516732811927795,
0.009107562713325024,
-0.024171730503439903,
0.016258366405963898,
0.05596906691789627,
-0.035797182470560074,
-0.00871189497411251,
-0.007240728475153446,
0.04762406647205353,
0.027639223262667656,
-0.025466645136475563,
-0.02268977463245392,
-0.03484757989645004,
0.012539085932075977,
0.006294721737504005,
-0.014726052060723305,
-0.00421566516160965,
0.028977300971746445,
-0.011546318419277668,
-0.02421489544212818,
-0.05470293015241623,
0.030502421781420708,
-0.036084942519664764,
-0.006661613937467337,
-0.01036650687456131,
0.04394075274467468,
0.027725551277399063,
-0.01653173752129078,
-0.013287258334457874,
0.015409478917717934,
-0.0108413090929389,
0.01873309165239334,
0.019668307155370712,
-0.037408631294965744,
-0.01135208085179329,
0.01969708316028118,
-0.06307670474052429,
0.008050049655139446,
-0.00827306229621172,
0.02456020563840866,
-0.001155531033873558,
-0.03335123509168625,
-0.011769331060349941,
-0.027596060186624527,
0.04523566737771034,
-0.04310625419020653,
0.013697314076125622,
0.0671628788113594,
-0.0035682078450918198,
0.012416788376867771,
0.05507701635360718,
0.03596983850002289,
0.03366776928305626,
0.01843094453215599,
0.052918825298547745,
0.01292756013572216,
-0.00857520941644907,
-0.02978302538394928,
-0.038329459726810455,
0.03784026950597763,
-0.011236977763473988,
-0.04889020323753357,
0.004744421690702438,
-0.03340878710150719,
-0.002147399354726076,
0.006294721737504005,
0.04112071916460991,
0.05401230975985527,
-0.05576763674616814,
0.01457497850060463,
-0.026157265529036522,
0.028675153851509094,
-0.012028314173221588,
-0.041868891566991806,
-0.038645993918180466,
-0.034444715827703476,
-0.05395475775003433,
0.02102077379822731,
0.0011420423397794366,
-0.009632722474634647,
-0.04563853144645691,
-0.03686188906431198,
0.011790912598371506,
0.0029261463787406683,
-0.010647072456777096,
0.015769176185131073,
0.00045164627954363823,
0.00956797692924738,
-0.014481456950306892,
-0.0011276544537395239,
-0.005431445315480232,
-0.021438023075461388,
-0.031567130237817764,
0.011373662389814854,
-0.010812533088028431,
-0.017236746847629547,
0.03294837102293968,
0.01648857444524765,
0.014726052060723305,
0.04296237602829933,
0.0168626606464386,
-0.007654381450265646,
0.02457459270954132,
-0.009503231383860111,
0.03565330430865288,
-0.026675231754779816,
-0.03461737185716629,
-0.00179669342469424,
0.09547834098339081,
-0.0076399934478104115,
0.02658890374004841,
-0.023553049191832542,
-0.03401307761669159,
-0.024689696729183197,
-0.019265444949269295,
-0.01245275791734457,
-0.037005770951509476,
-0.0349339060485363,
-0.029926905408501625,
0.029236285015940666,
0.0015098339645192027,
0.04184011369943619,
-0.03458859771490097,
0.003444111905992031,
0.031020388007164,
-0.046415477991104126,
0.012006731703877449,
0.0033469933550804853,
0.02165384218096733,
0.0003671171434689313,
0.024689696729183197,
0.018056858330965042,
0.037379857152700424,
-0.015279986895620823,
0.03841578587889671,
0.03343756124377251,
0.011790912598371506,
0.04230052977800369,
-0.0632493644952774,
-0.03340878710150719,
-0.0249199029058218,
-0.03196999058127403,
0.027006154879927635,
0.08753620088100433,
0.034761250019073486,
-0.016301531344652176,
0.027265137061476707,
-0.053839653730392456,
-0.03165345638990402,
0.021524351090192795,
0.005442236550152302,
-0.05332168936729431,
-0.02268977463245392,
0.08149326592683792,
-0.01276929210871458,
-0.010510386899113655,
-0.007388204801827669,
0.03196999058127403,
0.031883664429187775,
-0.02064668759703636,
-0.039940908551216125,
-0.04857366904616356,
-0.012438369914889336,
-0.05349434167146683,
-0.006348676513880491,
0.015740400180220604,
-0.027567284181714058,
-0.002217540517449379,
0.0019423712510615587,
0.058443792164325714,
-0.04379687458276749,
-0.03758128732442856,
0.02327967993915081,
0.04270339012145996,
-0.012675770558416843,
-0.01683388464152813,
-0.012129029259085655,
0.028718318790197372,
-0.028042085468769073,
-0.08396799117326736,
-0.038991305977106094,
-0.06146525964140892,
-0.017711548134684563,
0.0023362410720437765,
-0.049695927649736404,
-0.02812841348350048,
0.010093136690557003,
0.013711702078580856,
-0.033840425312519073,
-0.008006885647773743,
-0.020229436457157135,
-0.01340955588966608,
-0.022430790588259697,
0.06647226214408875,
0.014121758751571178,
-0.008345002308487892,
0.04877509921789169,
-0.05372454971075058,
0.022502729669213295,
0.04995490983128548,
0.008028468117117882,
-0.04468892514705658,
-0.0486312210559845,
0.06048687919974327,
0.04166746139526367,
-0.046444255858659744,
0.043509114533662796,
0.018704315647482872,
-0.03271816298365593,
-0.007848618552088737,
0.02654574066400528,
-0.010596713982522488,
0.012726129032671452,
-0.005327132996171713,
0.018215125426650047,
0.014395128935575485,
-0.024833576753735542,
-0.04112071916460991,
0.015208047814667225,
-0.006823478266596794,
0.024416325613856316,
-0.025970222428441048,
0.01687704771757126,
-0.027409017086029053,
0.012208162806928158,
0.006233572959899902,
-0.018977686762809753,
-0.00889174360781908,
-0.059048086404800415,
0.028329843655228615,
-0.002742700045928359,
0.032833267003297806,
0.04865999519824982,
0.018546048551797867,
-0.018617987632751465,
0.004798376467078924,
-0.005327132996171713,
0.019912902265787125,
-0.026502575725317,
0.023063860833644867,
0.023135799914598465,
-0.006082499399781227,
-0.04569608345627785,
-0.019279833883047104,
0.05398353189229965,
-0.02428683452308178,
-0.014877124689519405,
-0.06652981042861938,
-0.02683349885046482,
0.059738706797361374,
0.026660844683647156,
-0.02517888695001602,
0.0323728546500206,
-0.045811183750629425,
-0.06296160072088242,
-0.0017823054222390056,
-0.015351926907896996,
-0.005445833317935467,
0.00590265030041337,
0.029279448091983795,
-0.011380856856703758,
-0.025624912232160568,
-0.014920288696885109,
0.038645993918180466,
0.007452950347214937,
0.0505879782140255,
-0.01422966830432415,
0.04912041127681732,
-0.00413653114810586,
0.005539354868233204,
-0.04267461597919464,
-0.017668385058641434,
0.002415374619886279,
0.011215395294129848,
-0.003213905030861497,
-0.015337538905441761,
-0.0014154131058603525,
0.03755250945687294,
-0.026660844683647156,
0.016258366405963898,
-0.006733553484082222,
-0.027739938348531723,
0.011906016618013382,
0.037638839334249496,
-0.02165384218096733,
0.051940444856882095,
0.04952327162027359,
-0.017020927742123604,
-0.008460106328129768,
0.035135336220264435,
-0.08304715901613235,
-0.00011386701953597367,
0.007064476143568754,
0.021884050220251083,
-0.021121488884091377,
0.02197037637233734,
-0.04891898110508919,
0.010114718228578568,
-0.016387857496738434,
-0.01880503073334694,
0.01620081439614296,
-0.01903523877263069,
-0.012675770558416843,
-0.020948832854628563,
0.0007346839411184192,
0.023797644302248955,
0.015092943795025349,
0.040919288992881775,
0.010280179791152477,
0.018704315647482872,
-0.024387549608945847,
-0.021222203969955444,
0.019884126260876656,
0.010906054638326168,
0.02975424937903881,
-0.03559575229883194,
-0.038012925535440445,
0.0030682270880788565,
0.025121334940195084,
0.007233534473925829,
-0.03838701173663139,
-0.051249824464321136,
-0.05268861725926399,
-0.00021278407075442374,
0.009179502725601196,
0.04241563379764557,
0.02165384218096733,
-0.038933753967285156,
0.03366776928305626,
-0.08776640146970749,
-0.01753889210522175,
-0.020243825390934944,
-0.05763806775212288,
-0.039048854261636734,
0.007798261009156704,
0.004319977480918169,
0.05916319042444229,
0.009445679374039173,
0.010150688700377941,
-0.03398430347442627,
0.006204796954989433,
-0.0014792595757171512,
0.010308955796062946,
0.01753889210522175,
0.02526521496474743,
-0.044775255024433136,
-0.02001361735165119,
-0.02198476530611515,
0.04681834205985069,
0.013977878727018833,
0.017610833048820496,
-0.06186811998486519,
0.041955217719078064,
0.03421451151371002,
0.028214741498231888,
-0.015380702912807465,
-0.001856043585576117,
0.005345117766410112,
0.028272291645407677,
-0.014654112048447132,
0.037638839334249496,
0.01361098699271679,
0.02939455211162567,
0.0222869124263525,
-0.02136608399450779,
0.07562299072742462,
0.014992228709161282,
0.0582711361348629,
0.043250132352113724,
-0.02496306784451008,
-0.006406228058040142,
0.028056474402546883,
0.04117827117443085,
-0.011769331060349941,
0.01149595994502306,
0.024675309658050537,
0.01645979844033718,
-0.02130853198468685,
-0.009906093589961529,
-0.018574824556708336,
-0.027610447257757187,
0.0003578998730517924,
0.000495934160426259,
-0.011121873743832111,
-0.00792775209993124,
0.0647457093000412,
-0.007068072911351919,
0.060371775180101395,
0.04540832340717316,
0.014503038488328457,
-0.007125624921172857,
-0.02172578126192093,
0.0029836981557309628,
-0.0029261463787406683,
0.01117942575365305,
-0.040545202791690826,
0.03530799224972725,
-0.007316265255212784,
-0.01712164282798767,
-0.012193774804472923,
0.028905361890792847,
0.0022912786807864904,
0.009726244024932384,
0.003674319013953209,
-0.0009594954317435622,
-0.039336614310741425,
-0.0016734966775402427,
-0.005953008309006691,
0.041638683527708054,
-0.01134488731622696,
0.04491913318634033,
0.0017607235349714756,
-0.012179386802017689,
0.00792055856436491,
0.025380317121744156,
0.0012886194745078683,
-0.009963644668459892,
0.024517040699720383,
0.0486312210559845,
0.028329843655228615,
0.014315995387732983,
-0.02271854877471924,
-0.017682772129774094,
0.03196999058127403,
0.004240843933075666,
-0.001401924411766231,
0.047796718776226044,
-0.02820035256445408,
0.028315456584095955,
-0.0005651760729961097,
0.01782665215432644,
-0.0025880299508571625,
0.010244210250675678,
0.014337576925754547,
-0.037494957447052,
-0.012611025013029575,
-0.0029063629917800426,
0.00190460286103189,
0.012078671716153622,
-0.011812495067715645,
0.02135169506072998,
-0.00661845039576292,
-0.01841655746102333,
0.03139447420835495,
0.02034454047679901,
-0.03525044023990631,
-0.02942332811653614,
0.0015970608219504356,
-0.04828590899705887,
0.013711702078580856,
-0.024027852341532707,
-0.017855428159236908,
0.0030412496998906136,
0.034732475876808167,
-0.0021815707441419363,
-0.00874067097902298,
0.025495421141386032,
-0.028243517503142357,
-0.014287219382822514,
0.03683311492204666,
0.006488958839327097,
-0.007452950347214937,
0.0036779160145670176,
0.01912156492471695,
0.005219223443418741,
-0.012402400374412537,
-0.010121912695467472,
-0.06779594719409943,
-0.02266099862754345,
-0.06514856964349747,
0.02657451666891575,
-0.05182534083724022,
-0.07642871141433716,
-0.02366815321147442,
-0.04598383978009224,
-0.010632684454321861,
0.021222203969955444,
0.002699536271393299,
-0.04103438928723335,
0.008179540745913982,
0.020934445783495903,
-0.008517657406628132,
-0.02522205002605915,
-0.059048086404800415,
-0.00988451112061739,
0.02294875681400299,
0.017222357913851738,
-0.015078555792570114,
0.031193044036626816,
0.010769369080662727,
-0.0433652363717556,
-0.006654419936239719,
-0.010582325980067253,
0.008309032768011093,
-0.035480648279190063,
-0.019855350255966187,
0.011028352193534374,
-0.028056474402546883,
0.005755173973739147,
-0.042012769728899,
0.061580363661050797,
0.03622882068157196,
0.03789782151579857,
-0.0401998907327652,
-0.07637116312980652,
-0.03657413274049759,
-0.04566730558872223,
0.015495806001126766,
-0.0021276159677654505,
0.01876186765730381,
0.008733476512134075,
0.020963221788406372,
0.029696697369217873,
-0.047796718776226044,
0.24217772483825684,
0.04135092720389366,
0.018992073833942413,
0.037408631294965744,
0.008654342964291573,
0.05700499936938286,
0.02850249968469143,
-0.043163806200027466,
-0.0015296173514798284,
-0.003296635579317808,
0.00936654582619667,
-0.024646533653140068,
0.028631990775465965,
0.01975463517010212,
0.0382431298494339,
0.050645530223846436,
-0.001752630341798067,
-0.011071516200900078,
-0.03424328565597534,
-0.014805185608565807,
-0.031883664429187775,
-0.014445486478507519,
0.03594106063246727,
-0.009740632027387619,
-0.03536554425954819,
-0.003235486801713705,
0.033495113253593445,
0.04339401423931122,
0.02490551583468914,
-0.014963452704250813,
-0.017596444115042686,
0.0028110428247600794,
0.052228204905986786,
-0.00753208389505744,
-0.015179271809756756,
0.004161710385233164,
-0.0006600465276278555,
-0.02266099862754345,
-0.0031617486383765936,
0.028718318790197372,
-0.040919288992881775,
0.0031185848638415337,
0.0019783410243690014,
0.0004694063973147422,
0.008222704753279686,
-0.0015871691284701228,
-0.048084478825330734,
-0.017999306321144104,
-0.009625528939068317,
-0.01392032764852047,
0.09363668411970139,
-0.05795460194349289,
-0.016330305486917496,
-0.003629356622695923,
0.019812187179923058,
-0.03953804448246956,
0.02329406701028347,
0.010445641353726387,
0.024517040699720383,
0.009438485838472843,
-0.007827037014067173,
-0.0100499726831913,
0.00411854637786746,
-0.014445486478507519,
0.04535077139735222,
0.06457304954528809,
0.03648780286312103,
0.005884665530174971,
-0.05148003250360489,
-0.04474647715687752,
-0.023351619020104408,
-0.030272215604782104,
0.03666045889258385,
-0.05007001385092735,
0.03907763212919235,
0.02359621413052082,
0.005481803324073553,
0.03395552560687065,
-0.017596444115042686,
-0.026344308629631996,
-0.017222357913851738,
-0.03596983850002289,
-0.037351079285144806,
0.025006230920553207,
0.032545510679483414,
0.02260344661772251,
-0.02395591139793396,
-0.019510040059685707,
-0.025322765111923218,
0.014762021601200104,
0.015769176185131073,
0.017912980169057846,
0.014049818739295006,
-0.006582480389624834,
0.017970530316233635
] |
1212_1 | No muse was identified with the visual arts of painting and sculpture. In ancient Greece sculptors and painters were held in low regard, somewhere between freemen and slaves, their work regarded as mere manual labour.
The word art derives from the Latin "ars" (stem art-), which, although literally defined means "skill method" or "technique", also conveys a connotation of beauty.
During the Middle Ages the word artist already existed in some countries such as Italy, but the meaning was something resembling craftsman, while the word artesan was still unknown. An artist was someone able to do a work better than others, so the skilled excellency was underlined, rather than the activity field. In this period some "artisanal" products (such as textiles) were much more precious and expensive than paintings or sculptures.
The first division into major and minor arts dates back at least to the works of Leon Battista Alberti (1404–1472): De re aedificatoria, De statua, De pictura, which focused on the importance of the intellectual skills of the artist rather than the manual skills (even if in other forms of art there was a project behind).
With the Academies in Europe (second half of 16th century) the gap between fine and applied arts was definitely set.
Many contemporary definitions of "artist" and "art" are highly contingent on culture, resisting aesthetic prescription, in much the same way that the features constituting beauty and the beautiful cannot be standardized easily without moving into kitsch.
Training and employment
The US Bureau of Labor Statistics classifies many visual artists as either craft artists or fine artists. A craft artist makes handmade functional works of art, such as pottery or clothing. A fine artist makes paintings, illustrations (such as book illustrations or medical illustrations), sculptures, or similar artistic works primarily for their aesthetic value.
The main source of skill for both craft artists and fine artists is long-term repetition and practice. Many fine artists have studied their art form at university and some have a master's degree in fine arts. Artists may also study on their own or receive on-the-job training from an experienced artist. | [
-0.016056442633271217,
-0.01642437092959881,
0.022708605974912643,
-0.06728693842887878,
0.001322706462815404,
-0.03067060001194477,
0.006574899423867464,
-0.07541082054376602,
-0.022222939878702164,
-0.008616908453404903,
0.017925523221492767,
-0.021663686260581017,
0.02400371804833412,
-0.03111211583018303,
-0.003866938641294837,
-0.019794605672359467,
0.012318278662860394,
0.02802150882780552,
-0.09683903306722641,
0.018896857276558876,
0.033290259540081024,
0.047448184341192245,
-0.02700602263212204,
0.02652035653591156,
-0.022929364815354347,
0.05524829030036926,
0.09948812425136566,
0.06658051908016205,
0.009536731988191605,
0.03623369336128235,
-0.03161250054836273,
0.0009308615699410439,
0.011104111559689045,
-0.020883675664663315,
-0.024253910407423973,
-0.005680831149220467,
0.020162533968687057,
-0.07017150521278381,
-0.015835683792829514,
-0.04303302988409996,
0.028036225587129593,
-0.0021836613304913044,
-0.027035458013415337,
-0.002507439348846674,
0.020162533968687057,
0.06198875606060028,
0.015143976546823978,
-0.0394420400261879,
0.001962903654202819,
-0.03337856009602547,
0.02933133766055107,
-0.017395704984664917,
0.005371770355850458,
-0.01969158463180065,
0.05760303884744644,
-0.03437932953238487,
0.021913878619670868,
-0.01492321863770485,
0.0194413922727108,
0.008749363012611866,
0.026167143136262894,
0.006056119222193956,
-0.0110452426597476,
-0.05557206645607948,
-0.003013342386111617,
-0.01683645322918892,
0.01724853366613388,
-0.028418872505426407,
-0.04200282692909241,
-0.015246996656060219,
-0.05845663323998451,
0.02880151942372322,
0.04091375693678856,
0.0015066711930558085,
-0.052569761872291565,
-0.028418872505426407,
0.013046778738498688,
0.001863562734797597,
0.03293704614043236,
-0.01939724199473858,
0.02818339690566063,
0.005555734969675541,
-0.01761646196246147,
0.031700801104307175,
-0.016497956588864326,
0.008594832383096218,
-0.04868442565202713,
0.026490921154618263,
-0.011744308285415173,
-0.024415798485279083,
0.029463792219758034,
0.019088180735707283,
0.011920914985239506,
0.011140904389321804,
0.04406323283910751,
0.03208344802260399,
-0.005721303168684244,
0.04176735132932663,
0.008307847194373608,
0.010647878982126713,
0.04609420523047447,
0.09112876653671265,
-0.026741113513708115,
0.04109036177396774,
-0.08406452089548111,
-0.008293130435049534,
-0.04812517389655113,
0.013370556756854057,
-0.0019205918069928885,
0.0031936278101056814,
0.021987464278936386,
-0.016085876151919365,
-0.0030758902430534363,
-0.025239961221814156,
-0.008131241425871849,
0.038176361471414566,
-0.03214231878519058,
0.027226779609918594,
-0.03193627670407295,
0.03387894481420517,
0.0011212649988010526,
0.024504102766513824,
-0.00015912950038909912,
0.006431406829506159,
0.012877531349658966,
-0.017557594925165176,
-0.038088057190179825,
0.04188508912920952,
-0.020118383690714836,
0.021074999123811722,
0.026623375713825226,
-0.006891319062560797,
-0.019132332876324654,
-0.004341567866504192,
-0.020692352205514908,
0.06540314108133316,
0.011310151778161526,
0.04950859025120735,
0.002380503574386239,
-0.07058358937501907,
0.013407349586486816,
-0.007461609318852425,
-0.08706682920455933,
0.057779643684625626,
0.002428334439173341,
-0.03767597675323486,
-0.007336513604968786,
0.007071604486554861,
-0.06775788962841034,
-0.01736627146601677,
-0.03844127058982849,
-0.015467754565179348,
-0.015835683792829514,
0.0029931061435490847,
-0.04253264516592026,
-0.008992196060717106,
-0.017189664766192436,
0.022237656638026237,
-0.01789608970284462,
0.02139877714216709,
-0.05463016778230667,
-0.003475093748420477,
0.03752880543470383,
0.03090607561171055,
0.02562260814011097,
0.029964175075292587,
-0.03090607561171055,
-0.010485989972949028,
0.004849310498684645,
0.0052613914012908936,
0.04241490736603737,
0.02200218290090561,
-0.0036829740274697542,
-0.009176161140203476,
0.0220904853194952,
0.013664900325238705,
0.02334144525229931,
-0.0086610596626997,
0.005327618680894375,
0.008101806975901127,
-0.0234297476708889,
-0.013422067277133465,
-0.007564629893749952,
0.03228949010372162,
-0.02167840488255024,
0.015614926815032959,
-0.03529179468750954,
0.013429425656795502,
0.03470310568809509,
-0.012163748033344746,
0.0393831692636013,
0.04541721194982529,
-0.025225244462490082,
0.021222172304987907,
0.020353857427835464,
-0.0056624342687428,
-0.016851169988512993,
-0.015894552692770958,
0.05083313584327698,
-0.06569748371839523,
-0.03128872066736221,
0.04147300869226456,
-0.007472647354006767,
0.004503456875681877,
0.009705979377031326,
0.0010679152328521013,
0.01969158463180065,
0.05062709376215935,
-0.023415030911564827,
0.015541340224444866,
0.017660614103078842,
-0.058957017958164215,
-0.00098881043959409,
0.024710142984986305,
0.020589333027601242,
-0.021251605823636055,
-0.04609420523047447,
0.04147300869226456,
-0.042356040328741074,
0.004326850641518831,
0.02933133766055107,
0.034467633813619614,
0.001542544225230813,
0.004205433651804924,
-0.01000768132507801,
-0.0034474991261959076,
-0.006258480250835419,
0.07052472233772278,
0.01757231168448925,
-0.028860386461019516,
-0.034791409969329834,
0.02813924476504326,
0.009308615699410439,
-0.017116079106926918,
0.038735613226890564,
-0.018455341458320618,
-0.023164838552474976,
0.026093557476997375,
0.005772813223302364,
0.02802150882780552,
-0.023885980248451233,
0.015688512474298477,
0.034761976450681686,
0.031082680448889732,
-0.008469736203551292,
0.018190432339906693,
0.028463022783398628,
-0.014621516689658165,
0.06852318346500397,
0.02216407097876072,
0.00237866397947073,
0.037028420716524124,
0.019470827654004097,
0.017513442784547806,
-0.038294099271297455,
-0.000023800437702448107,
0.019779888913035393,
0.0151734109967947,
0.0017062729457393289,
-0.05148069187998772,
-0.020751221105456352,
-0.016409654170274734,
0.026329033076763153,
0.012384505942463875,
0.007318117190152407,
0.007314437534660101,
0.006703674793243408,
0.0500384084880352,
-0.07382136583328247,
-0.024798445403575897,
-0.044681355357170105,
-0.062047626823186874,
-0.05124521628022194,
0.03855900838971138,
0.01150883361697197,
-0.005942061077803373,
0.007358589209616184,
-0.045093435794115067,
0.07493987679481506,
-0.010449197143316269,
-0.045211173593997955,
0.011678081005811691,
-0.05577810853719711,
-0.00862426683306694,
-0.000008953908036346547,
0.018278736621141434,
-0.006482917349785566,
0.007711801677942276,
-0.019838755950331688,
0.02550487034022808,
-0.04188508912920952,
-0.0659918263554573,
-0.028566043823957443,
-0.010647878982126713,
0.022399546578526497,
0.015246996656060219,
0.004577042534947395,
-0.04421040415763855,
0.0037124082446098328,
-0.04709497094154358,
-0.038735613226890564,
-0.036704644560813904,
-0.03632199764251709,
0.014062264002859592,
0.020633485168218613,
0.0005840880330651999,
-0.049273114651441574,
-0.015791533514857292,
0.01317923329770565,
-0.01493057794868946,
-0.0660507008433342,
0.025431284680962563,
0.04780139774084091,
-0.0005413162289187312,
-0.0606936439871788,
0.026873568072915077,
0.0019996967166662216,
-0.035733308643102646,
-0.018528927117586136,
0.008168034255504608,
-0.005702906753867865,
-0.05227541923522949,
0.011442606337368488,
-0.015482472255825996,
-0.009963530115783215,
0.0383235327899456,
0.026696961373090744,
-0.049596890807151794,
0.012951117008924484,
-0.014113774523139,
-0.02504863776266575,
-0.04011902958154678,
0.0020971980411559343,
-0.004591759759932756,
-0.005537338554859161,
-0.00311084371060133,
0.05324675142765045,
0.05127464979887009,
0.021251605823636055,
-0.02370937541127205,
0.03355516865849495,
-0.07629385590553284,
0.026049405336380005,
0.015246996656060219,
-0.022870495915412903,
0.028080375865101814,
0.0181021299213171,
-0.02273804135620594,
0.0170424934476614,
-0.0006493955152109265,
0.042856425046920776,
0.030493993312120438,
-0.020898394286632538,
0.02705017477273941,
0.002696922980248928,
0.016203613951802254,
-0.0009428192279301584,
0.004838272463530302,
-0.06145893782377243,
0.021781424060463905,
-0.004562325309962034,
0.025519587099552155,
-0.01051542442291975,
-0.01570322923362255,
-0.0028808878269046545,
-0.010250515304505825,
-0.008734645321965218,
0.0008899294189177454,
0.06198875606060028,
-0.04594703018665314,
0.012848096899688244,
0.035409532487392426,
-0.031229853630065918,
-0.004978085868060589,
-0.01203865185379982,
0.007895766757428646,
0.038617875427007675,
-0.010625802911818027,
0.05454186350107193,
-0.03355516865849495,
-0.02810981124639511,
0.01780778542160988,
0.03299591317772865,
0.007078962866216898,
0.021648969501256943,
0.0011129865888506174,
-0.010353535413742065,
0.030552862212061882,
0.0005744298687204719,
-0.07376249879598618,
0.013944527134299278,
0.009676544927060604,
-0.003933166153728962,
-0.03641029819846153,
-0.023444466292858124,
-0.010051832534372807,
0.02721206285059452,
-0.011118828319013119,
-0.0072886827401816845,
0.0031973069999367,
-0.00012153170246165246,
0.0006558342720381916,
0.02769773080945015,
0.027447538450360298,
-0.011913555674254894,
0.029169447720050812,
-0.047889698296785355,
0.024312779307365417,
0.024592405185103416,
-0.02785961888730526,
-0.04147300869226456,
0.003351837396621704,
-0.009485221467912197,
-0.006593295838683844,
0.030847206711769104,
0.03284874185919762,
0.02172255516052246,
-0.0388827845454216,
0.01842590793967247,
0.0330253504216671,
-0.03167136758565903,
0.0014220473822206259,
-0.0018929970683529973,
0.03508575260639191,
0.016380220651626587,
-0.06434350460767746,
-0.031229853630065918,
-0.018970442935824394,
-0.008462377823889256,
0.025519587099552155,
-0.03299591317772865,
0.005036954302340746,
0.04188508912920952,
-0.012700925581157207,
-0.01902931183576584,
-0.06563861668109894,
0.035527270287275314,
-0.015614926815032959,
0.00034470390528440475,
0.0036553791724145412,
0.032642703503370285,
0.034673672169446945,
-0.0009492580429650843,
0.008381432853639126,
0.015570774674415588,
-0.008455019444227219,
0.008712570182979107,
0.03879448398947716,
-0.010456555522978306,
-0.039147693663835526,
0.0032929687295109034,
-0.057897381484508514,
0.022708605974912643,
-0.004654307849705219,
0.040413372218608856,
-0.007711801677942276,
-0.002731876214966178,
-0.05601358041167259,
0.020883675664663315,
0.02705017477273941,
-0.0069612255319952965,
0.029522661119699478,
0.029301902279257774,
-0.04965576156973839,
0.0010237637907266617,
0.049596890807151794,
-0.01745457388460636,
0.015085107646882534,
0.027594709768891335,
0.016380220651626587,
-0.0078074634075164795,
-0.010169570334255695,
-0.018293453380465508,
-0.05804455280303955,
0.06081138178706169,
0.007667650002986193,
-0.03811749443411827,
0.016807017847895622,
-0.011162979528307915,
0.007082642056047916,
0.007170945405960083,
0.05804455280303955,
0.02119273692369461,
-0.05574867129325867,
-0.014621516689658165,
0.010000322945415974,
-0.004003072623163462,
-0.011994500644505024,
-0.06298952549695969,
-0.05254032835364342,
-0.010993732139468193,
-0.05942796543240547,
0.003425423288717866,
0.014915860258042812,
-0.019176483154296875,
-0.031023813411593437,
-0.0436805859208107,
-0.016733432188630104,
-0.012877531349658966,
-0.011479399167001247,
-0.007660291623324156,
0.01805797778069973,
0.016056442633271217,
-0.032554399222135544,
-0.042238302528858185,
0.012377147562801838,
-0.026858851313591003,
-0.03917713090777397,
-0.008212185464799404,
-0.0097206961363554,
-0.008778797462582588,
0.002007055329158902,
-0.015085107646882534,
0.029581528156995773,
0.03014078177511692,
0.0008982078288681805,
-0.025063354521989822,
0.03184797614812851,
-0.017380988225340843,
0.04865499213337898,
-0.03134759142994881,
-0.030758902430534363,
-0.011538268066942692,
0.09148198366165161,
0.003355516819283366,
0.021693121641874313,
-0.03387894481420517,
-0.05892758443951607,
-0.014260945841670036,
-0.03281930834054947,
-0.012171106413006783,
-0.037970319390296936,
-0.042326606810092926,
-0.020427443087100983,
0.03240722790360451,
0.02403315342962742,
0.05410034954547882,
-0.03685181587934494,
0.025387132540345192,
0.02554902248084545,
-0.05315845087170601,
-0.02098669670522213,
0.009411635808646679,
0.02806565910577774,
-0.01083920244127512,
0.013731127604842186,
-0.010699388571083546,
0.020559897646307945,
0.01757231168448925,
0.030126065015792847,
-0.004352605435997248,
-0.008087089285254478,
0.027638861909508705,
-0.04335680976510048,
-0.02403315342962742,
-0.04135527089238167,
-0.03173023834824562,
0.030964944511651993,
0.067051462829113,
0.021222172304987907,
-0.013767920434474945,
0.03396724909543991,
-0.04995010420680046,
-0.004948651418089867,
0.03614538908004761,
0.004503456875681877,
0.00277050887234509,
-0.01208280399441719,
0.06622730195522308,
-0.018720250576734543,
-0.007976710796356201,
-0.01863194815814495,
0.04462248459458351,
0.030126065015792847,
-0.024518819525837898,
-0.061635542660951614,
-0.04406323283910751,
-0.030700035393238068,
-0.038823917508125305,
-0.0027024419978260994,
0.012296202592551708,
-0.018896857276558876,
0.0020585653837770224,
0.008800872601568699,
0.053305622190237045,
-0.03067060001194477,
-0.02232595905661583,
0.03811749443411827,
0.026226012036204338,
-0.02050103060901165,
-0.006173856556415558,
-0.0025055997539311647,
0.0031071642879396677,
-0.02518109232187271,
-0.05056822672486305,
-0.028698498383164406,
-0.0702303797006607,
-0.020751221105456352,
0.012185824103653431,
-0.03517405688762665,
-0.01440075971186161,
0.015004163607954979,
0.03617482632398605,
-0.02599053829908371,
-0.03493858128786087,
-0.01769004948437214,
-0.032878175377845764,
-0.013951885513961315,
0.051716163754463196,
-0.0048198760487139225,
-0.016748148947954178,
0.031377024948596954,
-0.012929040938615799,
-0.0006001849542371929,
0.03461480513215065,
0.005390166770666838,
-0.05209881067276001,
-0.01008862629532814,
0.07070132344961166,
0.056190188974142075,
-0.048949334770441055,
0.01741042174398899,
0.0003152695717290044,
-0.008675776422023773,
0.029787570238113403,
0.020103665068745613,
-0.036910682916641235,
0.020162533968687057,
-0.016659846529364586,
0.01939724199473858,
0.029257750138640404,
-0.009507297538220882,
-0.014621516689658165,
0.023650506511330605,
-0.017557594925165176,
0.005132616031914949,
0.028006790205836296,
-0.0036443413700908422,
-0.02778603322803974,
0.001236243057064712,
0.019353089854121208,
-0.04412209987640381,
0.011214490048587322,
-0.02785961888730526,
-0.01708664372563362,
-0.025887517258524895,
-0.00233451253734529,
0.05742643028497696,
-0.00436364347115159,
-0.030435126274824142,
-0.004396757110953331,
0.011449964717030525,
0.012693566270172596,
-0.04120809957385063,
0.0007772509707137942,
0.02762414515018463,
0.007991427555680275,
-0.04103149473667145,
0.0066558439284563065,
0.044475313276052475,
-0.0055925277993083,
0.009823717176914215,
-0.02298823371529579,
0.005191484931856394,
0.03717559203505516,
0.0085212467238307,
-0.0019831398967653513,
0.02778603322803974,
-0.06298952549695969,
-0.06769902259111404,
-0.01736627146601677,
-0.018734969198703766,
-0.02094254456460476,
0.007071604486554861,
0.017425140365958214,
-0.005040633492171764,
-0.026623375713825226,
0.002121113473549485,
0.04721270874142647,
0.029831720516085625,
0.03791145235300064,
-0.030729468911886215,
0.04992067068815231,
-0.0047205351293087006,
-0.05133352056145668,
-0.003224901854991913,
-0.011258641257882118,
0.009786923415958881,
0.00872728694230318,
-0.032642703503370285,
-0.007034811191260815,
0.026623375713825226,
0.015379451215267181,
-0.032642703503370285,
0.0553954616189003,
0.001152539043687284,
-0.016483239829540253,
0.020795373246073723,
0.020000645890831947,
0.0017154711531475186,
0.02269388921558857,
0.03826466575264931,
-0.0596928745508194,
0.02298823371529579,
0.026019971817731857,
-0.07252625375986099,
-0.004794120788574219,
-0.0033591960091143847,
0.02195803076028824,
-0.029169447720050812,
-0.014879067428410053,
-0.027064891532063484,
-0.016365502029657364,
-0.010169570334255695,
-0.026917720213532448,
0.017704766243696213,
-0.03788201883435249,
0.01667456328868866,
-0.04114923253655434,
0.01692475564777851,
0.027403386309742928,
0.0303468219935894,
0.024474667385220528,
0.010213721543550491,
-0.005563093349337578,
-0.011162979528307915,
-0.03773484751582146,
-0.01326017826795578,
0.015114542096853256,
0.03273100405931473,
-0.03617482632398605,
-0.006685278378427029,
-0.0004440448828972876,
-0.013760562054812908,
0.009161443449556828,
-0.011597136966884136,
-0.03490914776921272,
-0.02875736728310585,
0.004764686804264784,
0.004470342770218849,
0.0340849868953228,
0.03417328745126724,
-0.019838755950331688,
0.02541656792163849,
-0.08877401798963547,
-0.006593295838683844,
-0.0255784559994936,
-0.03964807838201523,
-0.06399029493331909,
0.0019058745820075274,
-0.01951497793197632,
0.0580151192843914,
0.0026490921154618263,
-0.016615694388747215,
-0.06852318346500397,
-0.009345408529043198,
-0.006512351334095001,
0.0063651795499026775,
0.04624137654900551,
0.020604049786925316,
-0.04026620090007782,
0.008241619914770126,
-0.046918366104364395,
0.04697723314166069,
-0.014768688939511776,
0.0008526765159331262,
-0.07805991172790527,
0.03311365097761154,
0.050774265080690384,
-0.0026914039626717567,
-0.0016050923150032759,
-0.007351230829954147,
0.01549718901515007,
0.022399546578526497,
-0.00025916032609529793,
0.04836064949631691,
0.011199773289263248,
0.029463792219758034,
0.0271679125726223,
-0.026181859895586967,
0.03973638266324997,
-0.0007188422023318708,
0.05604301765561104,
0.029419640079140663,
-0.05707321688532829,
-0.017513442784547806,
0.05380600318312645,
0.03741106763482094,
-0.01895572617650032,
0.017631180584430695,
0.029831720516085625,
0.01724853366613388,
0.009073141030967236,
0.014121132902801037,
0.02769773080945015,
-0.027565276250243187,
0.012112238444387913,
0.017071926966309547,
-0.012597904540598392,
0.015379451215267181,
0.057897381484508514,
0.03923599794507027,
0.08241619914770126,
0.03549783304333687,
0.005390166770666838,
-0.012664131820201874,
-0.020442161709070206,
0.016497956588864326,
0.02696187049150467,
-0.010986373759806156,
-0.043739452958106995,
0.04182622209191322,
0.004477701615542173,
-0.03791145235300064,
-0.02891925536096096,
0.030964944511651993,
0.016277199611067772,
-0.00841822661459446,
0.021016130223870277,
-0.014290380291640759,
-0.03470310568809509,
0.0008112844661809504,
-0.03284874185919762,
0.022428980097174644,
0.011273358948528767,
0.03729332983493805,
-0.00019500261987559497,
-0.02220822311937809,
0.031023813411593437,
0.027800749987363815,
-0.008786155842244625,
-0.004650628659874201,
-0.00468742148950696,
0.04353341460227966,
0.028198113664984703,
0.005706585943698883,
-0.059398531913757324,
0.00010302024747943506,
0.07223191112279892,
0.015629643574357033,
-0.00180745346006006,
0.010243155993521214,
-0.0127892279997468,
0.01785193756222725,
0.00393684534355998,
-0.002542392583563924,
-0.025328263640403748,
0.017954958602786064,
0.029316619038581848,
-0.020103665068745613,
-0.032554399222135544,
0.0025368735659867525,
-0.006773581262677908,
0.027344517409801483,
-0.011464682407677174,
0.022458413615822792,
0.010589010082185268,
0.014341890811920166,
0.03852957487106323,
-0.006836129352450371,
-0.031583067029714584,
-0.024504102766513824,
0.018602514639496803,
-0.028492458164691925,
-0.001927950419485569,
-0.012965834699571133,
0.0025295151863247156,
-0.012951117008924484,
0.021663686260581017,
0.020353857427835464,
0.002695083385333419,
0.01745457388460636,
0.010000322945415974,
-0.056455098092556,
0.026917720213532448,
-0.01440075971186161,
-0.020957263186573982,
0.007181982975453138,
0.006994339171797037,
0.041178666055202484,
0.007262927480041981,
-0.027844902127981186,
-0.05080370232462883,
-0.02241426333785057,
-0.07588177174329758,
0.07070132344961166,
-0.016895320266485214,
-0.059928350150585175,
-0.04506400227546692,
-0.040531110018491745,
0.028683781623840332,
0.013907733373343945,
0.01972102001309395,
-0.05112747848033905,
0.02167840488255024,
-0.025122223421931267,
-0.01874968595802784,
-0.010853919200599194,
-0.03485028073191643,
-0.02306181937456131,
0.02184029296040535,
0.024798445403575897,
0.02350333333015442,
0.019382523372769356,
0.03558613732457161,
-0.03773484751582146,
0.011950349435210228,
-0.004665345419198275,
0.0220904853194952,
-0.028507174924016,
-0.016865886747837067,
0.016041724011301994,
-0.00830048881471157,
0.038941655308008194,
-0.030523428693413734,
0.026049405336380005,
0.06528540700674057,
0.02834528684616089,
-0.040619414299726486,
-0.08677248656749725,
-0.009676544927060604,
-0.03284874185919762,
0.006887639407068491,
-0.014893785119056702,
0.024253910407423973,
0.0032193828374147415,
-0.003436461091041565,
0.031465329229831696,
-0.05039161816239357,
0.25596117973327637,
0.030817771330475807,
0.028050942346453667,
0.06134120002388954,
0.01907346397638321,
0.06546200811862946,
0.026019971817731857,
-0.054188650101423264,
0.011604495346546173,
-0.017999108880758286,
0.008881817571818829,
-0.010022399015724659,
0.007270286325365305,
0.011118828319013119,
0.04774252697825432,
0.02211991883814335,
0.0022480490151792765,
-0.029095862060785294,
-0.021339908242225647,
0.007012735586613417,
-0.03270157054066658,
0.009286539629101753,
0.021663686260581017,
-0.01378999650478363,
-0.03991298750042915,
-0.02326785959303379,
0.005117898806929588,
0.0058243232779204845,
-0.000651695067062974,
-0.010390328243374825,
-0.03582161292433739,
0.002711640205234289,
0.04011902958154678,
-0.018205149099230766,
0.0007855293806642294,
-0.017910806462168694,
0.03111211583018303,
-0.029346054419875145,
-0.00966182816773653,
0.04011902958154678,
-0.05477733910083771,
-0.021825576201081276,
0.02732980065047741,
0.02119273692369461,
-0.015997573733329773,
0.037234462797641754,
-0.03090607561171055,
-0.02139877714216709,
-0.01801382750272751,
-0.013473576866090298,
0.06557974964380264,
-0.01769004948437214,
-0.00927182286977768,
0.00966182816773653,
0.03326082229614258,
-0.027550557628273964,
0.001296951319091022,
-0.022443696856498718,
0.026917720213532448,
0.02778603322803974,
-0.0047978004440665245,
0.007866332307457924,
0.015467754565179348,
0.013973960652947426,
0.009831075556576252,
0.01923535205423832,
0.053217317909002304,
0.006714712828397751,
-0.04544664919376373,
-0.03699898719787598,
0.011096752248704433,
-0.002393381204456091,
-0.002433853456750512,
-0.020515747368335724,
0.0346442386507988,
0.01988290809094906,
-0.0038632594514638186,
0.037970319390296936,
-0.017292683944106102,
-0.027800749987363815,
-0.0071893418207764626,
-0.011096752248704433,
-0.03184797614812851,
0.010427121073007584,
0.03535066172480583,
0.032642703503370285,
-0.03588047996163368,
-0.012678849510848522,
-0.021619535982608795,
0.01089807040989399,
0.0022094163578003645,
0.019044028595089912,
0.01468038558959961,
0.006619051098823547,
0.027874335646629333
] |
1212_2 | The number of available jobs as an artist is increasing more slowly than other fields. About half of US artists are self-employed. Others work in a variety of industries. For example, a pottery manufacturer will employ craft artists, and book publishers will hire illustrators.
In the US, fine artists have a median income of approximately US$50,000 per year, and craft artists have a median income of approximately US$33,000 per year. This compares to US$61,000 for all art-related fields, including related jobs such as graphic designers, multimedia artists, animators, and fashion designers. Many artists work part-time as artists and hold a second job.
See also
Art
Art history
Arts by region
Artist in Residence
Fine art
Humanities
List of painters by name
List of painters
List of composers
List of sculptors
List of sketches of notable people by Marguerite Martyn
Mathematics and art
Social science
Notes
References
P.Galloni, Il sacro artefice. Mitologie degli artigiani medievali, Laterza, Bari, 1998
C. T. Onions (1991). The Shorter Oxford English Dictionary. Clarendon Press Oxford.
External links
Aesthetics
Art occupations
Arts-related lists
Humanities occupations
Artisans | [
-0.04308835789561272,
-0.020848747342824936,
-0.029804199934005737,
-0.06176565960049629,
0.046948712319135666,
-0.04618231952190399,
0.032529156655073166,
-0.031450528651475906,
0.020408781245350838,
0.01935853809118271,
0.03224530816078186,
-0.014902099967002869,
0.04328705370426178,
-0.018123792484402657,
0.029236501082777977,
0.034175485372543335,
0.005684087052941322,
0.018961148336529732,
-0.04666486382484436,
0.0000416904003941454,
-0.0011362851364538074,
0.0194436926394701,
-0.02449621446430683,
-0.017314821481704712,
-0.019202420487999916,
0.043514132499694824,
0.09230786561965942,
0.07255194336175919,
0.030116435140371323,
0.026369621977210045,
-0.02776048332452774,
0.007209778297692537,
-0.01023987215012312,
-0.05498165264725685,
-0.015455607324838638,
-0.0008599753491580486,
0.029208116233348846,
-0.07192747294902802,
0.01781155727803707,
-0.02495037391781807,
0.04947497323155403,
-0.02277892455458641,
0.02838495373725891,
-0.017655441537499428,
0.01664777472615242,
0.0199546217918396,
-0.006610145792365074,
-0.05092260614037514,
0.006610145792365074,
-0.02113259769976139,
0.007174296770244837,
0.017428360879421234,
0.01051662489771843,
-0.004204520955681801,
0.07232485711574554,
-0.01055210642516613,
-0.006652723532170057,
-0.03505541756749153,
0.023658858612179756,
0.0018326035933569074,
0.003482478903606534,
0.007621360011398792,
0.015058217570185661,
-0.018492797389626503,
-0.0012782099656760693,
0.036957208067178726,
0.011460424400866032,
0.008025845512747765,
-0.020181702449917793,
0.0022672482300549746,
-0.060857340693473816,
0.024666523560881615,
-0.014660828746855259,
0.034175485372543335,
-0.026866357773542404,
-0.04598362371325493,
0.019159844145178795,
-0.01785413548350334,
0.0432586669921875,
0.009381227195262909,
0.015895573422312737,
-0.02052232064306736,
-0.03400517255067825,
0.01057339459657669,
-0.03332393616437912,
0.02387174591422081,
-0.00017751683481037617,
-0.001176201505586505,
0.06148180738091469,
-0.050723910331726074,
0.004676421172916889,
0.06148180738091469,
0.02780306152999401,
0.015498184598982334,
0.030428670346736908,
0.04328705370426178,
0.011190767399966717,
0.04490499570965767,
0.03894415497779846,
0.009934733621776104,
0.029179731383919716,
0.04337221011519432,
-0.018492797389626503,
0.046409398317337036,
-0.03732621297240257,
-0.023417586460709572,
-0.041271720081567764,
0.0015798000385984778,
0.011652023531496525,
-0.004502563271671534,
0.0057408567517995834,
-0.019684964790940285,
0.013795087113976479,
-0.012028124183416367,
0.0017217248678207397,
0.04152718558907509,
-0.006674012169241905,
0.019841082394123077,
-0.01715870387852192,
0.04819764941930771,
-0.01724385842680931,
0.010034080594778061,
0.007713611237704754,
0.0036723033990710974,
-0.005041877273470163,
-0.03289816156029701,
-0.030797673389315605,
0.06659109890460968,
-0.04606878012418747,
0.035282496362924576,
0.05659959465265274,
-0.008792239241302013,
-0.058047227561473846,
-0.0198836587369442,
-0.030116435140371323,
0.05983548238873482,
0.0160942692309618,
0.03153568133711815,
-0.013099655508995056,
-0.05171738564968109,
0.01829410158097744,
-0.012581630609929562,
-0.09196724742650986,
0.05273924395442009,
-0.025816114619374275,
-0.011432039551436901,
-0.013993781991302967,
0.008728372864425182,
-0.04595524072647095,
-0.027419865131378174,
-0.012354550883173943,
0.00022608171275351197,
0.0025830308441072702,
0.019812697544693947,
-0.01306417491286993,
-0.008373561315238476,
-0.010914014652371407,
0.009132858365774155,
0.02659670077264309,
0.023687243461608887,
-0.024212364107370377,
-0.032472386956214905,
0.025887077674269676,
0.02726374752819538,
0.008650314062833786,
0.03255753964185715,
0.004037759732455015,
0.016477465629577637,
-0.0005317743634805083,
-0.008629025891423225,
0.0477718748152256,
0.022537652403116226,
-0.032415617257356644,
-0.017981868237257004,
0.021459024399518967,
0.00005125368988956325,
0.05762145295739174,
-0.027618559077382088,
0.02391432225704193,
0.030315129086375237,
-0.04717579111456871,
-0.0056344131007790565,
-0.019017918035387993,
0.000021912408556090668,
-0.009863771498203278,
-0.01941530779004097,
-0.05711052566766739,
-0.03275623545050621,
0.04728933051228523,
-0.012432609684765339,
0.009707653895020485,
0.024311712011694908,
-0.022864079102873802,
0.020877132192254066,
-0.007000438868999481,
-0.027973370626568794,
0.004569977521896362,
-0.010197293944656849,
-0.005190898198634386,
-0.06579632312059402,
-0.020380396395921707,
0.0005056069931015372,
0.005609576590359211,
0.025844499468803406,
0.010935302823781967,
0.012936442159116268,
0.028086911886930466,
0.0320466123521328,
-0.05699698626995087,
-0.012851287610828876,
0.041442032903432846,
-0.050241366028785706,
0.0045238519087433815,
-0.033692941069602966,
0.020394587889313698,
0.041811034083366394,
-0.02338920161128044,
0.05262570455670357,
-0.014490518718957901,
0.013553814962506294,
0.05943809077143669,
-0.007202681619673967,
-0.02221122570335865,
-0.004232906270772219,
-0.015668494626879692,
-0.007770380936563015,
0.044621147215366364,
0.011808140203356743,
0.01670454442501068,
0.016278769820928574,
-0.06011933088302612,
0.02604319527745247,
0.02608577162027359,
-0.008529677987098694,
0.034658025950193405,
-0.027859831228852272,
-0.010686934925615788,
0.03573665767908096,
-0.006510798819363117,
0.02935004234313965,
-0.027973370626568794,
-0.00832388736307621,
0.04059048369526863,
0.015824612230062485,
-0.01657681353390217,
-0.012049412354826927,
-0.03286977484822273,
-0.03982409089803696,
0.05776337906718254,
0.03729782998561859,
-0.015668494626879692,
0.044621147215366364,
0.016803892329335213,
0.05231346935033798,
-0.03726944327354431,
-0.008707084693014622,
-0.02049393579363823,
0.029860971495509148,
-0.015072409994900227,
-0.045898471027612686,
-0.025972232222557068,
-0.007128171157091856,
0.05438556894659996,
0.016406502574682236,
0.017925098538398743,
-0.035793427377939224,
-0.013383504934608936,
0.07277902215719223,
-0.044621147215366364,
0.003132989164441824,
-0.056883446872234344,
-0.06965667754411697,
-0.020806171000003815,
0.04569977521896362,
-0.0007490966818295419,
-0.011041746474802494,
0.007536204997450113,
-0.040278248488903046,
0.05273924395442009,
-0.004892856348305941,
-0.014589865691959858,
0.016307154670357704,
-0.054130107164382935,
-0.022580230608582497,
0.016988394781947136,
-0.005435718689113855,
0.01725805178284645,
-0.0016995490295812488,
0.021331291645765305,
0.032500769942998886,
-0.003906479105353355,
-0.04510369151830673,
-0.026454776525497437,
0.009281879290938377,
0.013695740140974522,
-0.0063546812161803246,
-0.0043570902198553085,
-0.03003128059208393,
0.011545579880475998,
-0.02270796336233616,
-0.02882491983473301,
-0.05818915367126465,
-0.033522628247737885,
-0.012127471156418324,
0.015214335173368454,
0.02503552846610546,
-0.0578201487660408,
-0.014788560569286346,
-0.019599810242652893,
-0.014660828746855259,
-0.07487950474023819,
0.0017492227489128709,
0.04439406841993332,
0.019713349640369415,
-0.00025856916909106076,
0.012340358458459377,
-0.024226557463407516,
-0.04124333709478378,
-0.013809279538691044,
0.017556093633174896,
0.020252663642168045,
-0.03099636919796467,
-0.005393140949308872,
-0.010019888170063496,
-0.026937320828437805,
0.033692941069602966,
0.026312852278351784,
-0.07328994572162628,
0.01717289723455906,
-0.047970570623874664,
-0.02499295212328434,
-0.03340908885002136,
-0.012340358458459377,
0.015327874571084976,
-0.023417586460709572,
0.0006271300371736288,
0.04439406841993332,
0.049191124737262726,
-0.01109851710498333,
-0.0032678176648914814,
0.07022437453269958,
-0.08441685140132904,
0.011829429306089878,
0.0031454076524823904,
-0.047346100211143494,
0.011701696552336216,
0.03173437714576721,
-0.023162120953202248,
-0.0015265782130882144,
0.00706785311922431,
0.028427530080080032,
0.028654610738158226,
-0.015611723996698856,
0.0066846562549471855,
0.049730438739061356,
0.04274773970246315,
-0.003172018565237522,
0.018577951937913895,
-0.06063025817275047,
0.04218003898859024,
-0.005439266562461853,
0.038546767085790634,
-0.009523151442408562,
-0.04095948860049248,
0.005378948524594307,
-0.011283018626272678,
0.002563516143709421,
-0.00012107956717954949,
0.084473617374897,
-0.041952960193157196,
0.014575673267245293,
0.028157873079180717,
0.01058758795261383,
-0.05288116633892059,
0.008699988014996052,
-0.031933072954416275,
0.031961455941200256,
0.02604319527745247,
0.006893995683640242,
-0.044649530202150345,
0.013823471963405609,
-0.010651453398168087,
0.015356259420514107,
0.027008282020688057,
-0.004506111145019531,
0.008884490467607975,
-0.011176574975252151,
0.005176705773919821,
-0.017939290031790733,
-0.04899242892861366,
0.015427222475409508,
-0.003446997841820121,
0.014086033217608929,
-0.034090328961610794,
-0.030826058238744736,
0.013461563736200333,
0.024155594408512115,
-0.023630473762750626,
-0.014093128964304924,
-0.018989533185958862,
0.025361955165863037,
0.01000569574534893,
0.015597531571984291,
0.01522852759808302,
0.0025173905305564404,
0.0009624272934161127,
-0.033040083944797516,
0.039597008377313614,
-0.021515794098377228,
-0.0007393393316306174,
-0.05475457385182381,
0.0045203035697340965,
-0.014284728094935417,
0.008593544363975525,
0.013454467989504337,
0.0070784976705908775,
0.026170926168560982,
-0.025319378823041916,
-0.05381787195801735,
0.0653989315032959,
-0.004882211796939373,
0.00017319255857728422,
0.0061914678663015366,
0.03820614516735077,
0.040249861776828766,
-0.04447922110557556,
-0.024680716916918755,
-0.023673050105571747,
-0.018734069541096687,
0.006808840669691563,
-0.03113829344511032,
-0.020962288603186607,
0.0018592143896967173,
-0.0183508712798357,
-0.011048843152821064,
-0.061879198998212814,
0.0445643775165081,
-0.02724955417215824,
-0.024694908410310745,
0.004055500030517578,
0.042435504496097565,
0.017329012975096703,
0.013014500960707664,
0.006876254919916391,
0.03939831629395485,
-0.029179731383919716,
-0.02507810667157173,
0.030769288539886475,
0.004903500434011221,
-0.0020650052465498447,
-0.03110990859568119,
-0.037439752370119095,
-0.007209778297692537,
0.03769521787762642,
0.03542442247271538,
0.0011495905928313732,
-0.01786832883954048,
-0.03167760744690895,
-0.0035090898163616657,
0.009310265071690083,
-0.052994705736637115,
0.020266856998205185,
0.06545570492744446,
-0.03045705519616604,
-0.03332393616437912,
0.023460164666175842,
0.026554124429821968,
0.04714740812778473,
0.045274000614881516,
0.03400517255067825,
0.015611723996698856,
-0.002462394768372178,
-0.005063165910542011,
-0.07902371138334274,
0.0031897590961307287,
0.004633843433111906,
-0.009565729647874832,
-0.031961455941200256,
-0.0183508712798357,
0.04555784910917282,
-0.00024215913435909897,
0.06148180738091469,
0.0250497218221426,
-0.043031588196754456,
-0.002893491182476282,
-0.00943799689412117,
0.01722966693341732,
-0.0009349294123239815,
-0.05384625494480133,
-0.013184810988605022,
0.0080116530880332,
-0.05279601365327835,
-0.013972492888569832,
0.012091989628970623,
0.021757066249847412,
-0.02228218875825405,
-0.040817562490701675,
-0.002173223067075014,
-0.014547288417816162,
0.01724385842680931,
-0.03003128059208393,
-0.005279601085931063,
-0.010963688604533672,
-0.014447941444814205,
-0.035679884254932404,
-0.02283569425344467,
-0.05730922147631645,
-0.034714799374341965,
-0.020990673452615738,
-0.061311498284339905,
-0.005481844302266836,
0.003480704966932535,
-0.002913005882874131,
0.006968506146222353,
0.008203251287341118,
-0.001926628639921546,
-0.01768382638692856,
0.015711070969700813,
-0.031876303255558014,
0.024865219369530678,
-0.005996321327984333,
0.0013234484940767288,
-0.010374700650572777,
0.09673591703176498,
0.023744013160467148,
0.027959179133176804,
-0.06749942153692245,
-0.022381534799933434,
-0.0011336241150274873,
-0.02443944476544857,
-0.04118656739592552,
-0.006180823314934969,
-0.037524908781051636,
-0.002611415693536401,
0.002084519946947694,
-0.006940120831131935,
0.05327855795621872,
0.0027178593445569277,
0.022580230608582497,
0.06914574652910233,
-0.051802538335323334,
0.02835656888782978,
-0.00004681854261434637,
0.017556093633174896,
-0.009544440545141697,
0.001891147461719811,
0.013986685313284397,
0.020295241847634315,
0.02385755255818367,
0.008189058862626553,
-0.008650314062833786,
-0.03587858006358147,
0.00781295821070671,
-0.028143681585788727,
-0.020323626697063446,
-0.03267108276486397,
-0.012723554857075214,
0.04774349182844162,
0.0857793316245079,
-0.013638969510793686,
-0.04700548201799393,
0.013426083140075207,
-0.07408472895622253,
0.022040916606783867,
0.03267108276486397,
-0.005446362774819136,
-0.010914014652371407,
-0.01948627084493637,
0.0610276497900486,
0.020266856998205185,
0.00721687451004982,
-0.025688381865620613,
0.0375816784799099,
0.02111840434372425,
-0.017087742686271667,
-0.005169609561562538,
-0.07090561091899872,
-0.043599288910627365,
-0.024638138711452484,
-0.007834247313439846,
0.01525691244751215,
-0.016207808628678322,
-0.028583647683262825,
-0.003810680005699396,
0.039682164788246155,
-0.05208639055490494,
-0.005116387736052275,
0.02170029655098915,
0.03599211946129799,
0.0046693249605596066,
-0.001940821181051433,
-0.001599314738996327,
-0.009232206270098686,
-0.020706823095679283,
-0.05569127947092056,
-0.0397673174738884,
-0.03284139186143875,
-0.02174287475645542,
-0.0017909131711348891,
0.0094663817435503,
-0.04768672212958336,
0.03323877975344658,
0.023559510707855225,
-0.021828029304742813,
-0.02994612604379654,
-0.047998957335948944,
-0.02489360421895981,
0.00835936889052391,
0.048112496733665466,
-0.04061886668205261,
0.007177845109254122,
0.03868868947029114,
-0.001441423431970179,
-0.009870867244899273,
0.04101625829935074,
-0.041271720081567764,
-0.02943519689142704,
-0.029066191986203194,
0.08135127276182175,
0.015129179693758488,
-0.037411369383335114,
0.05384625494480133,
0.024865219369530678,
-0.015129179693758488,
0.02101905830204487,
-0.0014910970348864794,
-0.001885825302451849,
0.017428360879421234,
-0.007266547996550798,
0.03216015174984932,
0.04050532728433609,
-0.02777467668056488,
0.0305138248950243,
0.008217443712055683,
-0.02270796336233616,
0.02284988760948181,
0.027519211173057556,
0.012311973609030247,
-0.03814937546849251,
0.0034540940541774035,
-0.01134688500314951,
-0.005712471902370453,
-0.015611723996698856,
-0.021898990496993065,
-0.03735459968447685,
-0.022637000307440758,
0.053562406450510025,
0.03286977484822273,
-0.01884760893881321,
-0.018180562183260918,
0.011155286803841591,
0.003668755292892456,
0.02270796336233616,
-0.022097686305642128,
0.004616103135049343,
0.01000569574534893,
-0.00764264864847064,
-0.03795068338513374,
-0.015200142748653889,
0.029051998630166054,
0.011935872957110405,
0.02824302762746811,
-0.01502983272075653,
0.003998730331659317,
0.011141094379127026,
0.038603536784648895,
-0.027987563982605934,
0.027547597885131836,
-0.018606336787343025,
-0.025972232222557068,
-0.0009455737308599055,
-0.023573704063892365,
-0.03871707618236542,
0.009643787518143654,
0.012673881836235523,
-0.005513777025043964,
-0.02946358174085617,
-0.017002586275339127,
0.03346585854887962,
0.02338920161128044,
0.03732621297240257,
-0.01474598329514265,
0.022977620363235474,
0.045756544917821884,
-0.039653778076171875,
0.012723554857075214,
0.005332822911441326,
-0.027462441474199295,
-0.011602349579334259,
-0.06579632312059402,
-0.015838803723454475,
0.05222831293940544,
-0.0033831316977739334,
-0.01664777472615242,
-0.026979897171258926,
0.003507315879687667,
-0.04717579111456871,
0.007663937285542488,
-0.012645496986806393,
-0.04147041589021683,
0.006464673206210136,
0.00806842278689146,
-0.08032941818237305,
0.040845949202775955,
0.026781203225255013,
-0.03457287326455116,
0.010821763426065445,
0.00581891555339098,
-0.004499014932662249,
0.019826889038085938,
-0.011041746474802494,
-0.029208116233348846,
0.025134876370429993,
0.01996881514787674,
-0.030797673389315605,
-0.010914014652371407,
-0.036417894065380096,
0.007138815708458424,
-0.058643314987421036,
0.020281048491597176,
0.055293887853622437,
-0.019543040543794632,
0.01525691244751215,
0.007969075813889503,
-0.017641248181462288,
-0.0062127565033733845,
-0.0041335588321089745,
0.011957161128520966,
-0.021955762058496475,
0.039057694375514984,
-0.03795068338513374,
0.01666196808218956,
0.008458715863525867,
-0.02109001949429512,
0.013355120085179806,
-0.04623908922076225,
-0.024297520518302917,
-0.024765871465206146,
-0.021870605647563934,
-0.006599501706659794,
0.10315091907978058,
0.018634721636772156,
0.03108152374625206,
0.00026633069501258433,
-0.05779176577925682,
0.03843322768807411,
-0.0075716860592365265,
-0.052427008748054504,
-0.08333822339773178,
-0.006106312852352858,
-0.04047694429755211,
0.05642928555607796,
0.0005770128918811679,
-0.003761006286367774,
0.012829998508095741,
-0.00969346147030592,
-0.008025845512747765,
-0.0155123770236969,
0.013177714310586452,
0.041073027998209,
-0.029860971495509148,
-0.017343206331133842,
-0.016846470534801483,
0.07118946313858032,
0.04280450940132141,
0.0003845274040941149,
-0.10485401749610901,
0.033692941069602966,
0.03661658987402916,
0.013993781991302967,
-0.0250497218221426,
0.02825722098350525,
-0.0018326035933569074,
-0.01087143737822771,
0.033664554357528687,
0.010857244953513145,
0.03386325016617775,
0.029804199934005737,
0.00735879922285676,
0.022452497854828835,
0.04501853510737419,
-0.03216015174984932,
0.042435504496097565,
0.003643918316811323,
-0.04547269642353058,
-0.014405363239347935,
0.012957731261849403,
0.010708223097026348,
0.02838495373725891,
0.027490826323628426,
0.013426083140075207,
0.0003483809414319694,
0.016363926231861115,
-0.011673311702907085,
0.01525691244751215,
0.003572955960407853,
0.00893416441977024,
0.009274783544242382,
0.002889943076297641,
-0.0006404354935511947,
0.06664787232875824,
0.014256342314183712,
0.048112496733665466,
0.06840773671865463,
0.0000719048548489809,
-0.030173204839229584,
-0.025276800617575645,
-0.009494766592979431,
0.05398818105459213,
-0.02212607115507126,
-0.03823453187942505,
0.02225380390882492,
0.014873715117573738,
-0.0027143112383782864,
-0.034714799374341965,
-0.014525999315083027,
0.033522628247737885,
-0.01935853809118271,
0.012297781184315681,
0.008728372864425182,
-0.050865836441516876,
-0.05063875764608383,
0.001834377646446228,
0.03809260576963425,
0.0029786459635943174,
0.03732621297240257,
-0.002781725488603115,
0.013731220737099648,
0.027604367583990097,
0.008125192485749722,
-0.022495076060295105,
-0.010488240048289299,
0.016761314123868942,
-0.0013349797809496522,
0.007280740421265364,
0.04481983929872513,
-0.0064362878911197186,
0.011801044456660748,
0.05100776255130768,
-0.0019035659497603774,
0.028172066435217857,
0.025134876370429993,
-0.05052521824836731,
0.0027710809372365475,
0.0042754835449159145,
0.03181953355669975,
-0.059097472578287125,
0.04101625829935074,
0.007607167586684227,
-0.0466080941259861,
-0.024325905367732048,
0.013610584661364555,
0.011595252901315689,
0.011928776279091835,
-0.011715888977050781,
0.022353149950504303,
-0.02608577162027359,
0.0255606509745121,
0.06931605190038681,
-0.010133428499102592,
0.017556093633174896,
-0.011602349579334259,
0.00719913374632597,
-0.005865041166543961,
-0.022395728155970573,
-0.03795068338513374,
-0.030428670346736908,
-0.013816376216709614,
0.010914014652371407,
0.01667615957558155,
0.009076088666915894,
0.01082885917276144,
-0.019741734489798546,
-0.08163512498140335,
-0.000930494221393019,
-0.001405942253768444,
-0.027916600927710533,
0.050184596329927444,
0.015796225517988205,
-0.020437166094779968,
-0.018194755539298058,
-0.014043455943465233,
-0.03863191977143288,
0.007876824587583542,
-0.046891942620277405,
0.05921101197600365,
-0.013873145915567875,
-0.050184596329927444,
-0.010161813348531723,
-0.02878234162926674,
0.016491657122969627,
-0.012638400308787823,
-0.019287575036287308,
-0.03494187816977501,
-0.004644487984478474,
-0.04036340489983559,
-0.0010839503956958652,
0.0013367538340389729,
-0.04147041589021683,
-0.002797691849991679,
0.04771510511636734,
0.02282150276005268,
0.020451359450817108,
0.013220291584730148,
0.037979066371917725,
-0.0029183279257267714,
-0.006713041570037603,
0.031336989253759384,
0.016250384971499443,
-0.023573704063892365,
0.01615103892982006,
0.03658820316195488,
-0.013468660414218903,
0.013397698290646076,
-0.03621920198202133,
0.00940961204469204,
0.06068703159689903,
0.009885059669613838,
-0.030371900647878647,
-0.07522012293338776,
-0.02544710971415043,
-0.04663647711277008,
-0.003588922554627061,
-0.01617942377924919,
0.002043716609477997,
-0.014561480842530727,
0.03936992958188057,
0.025631612166762352,
-0.04200972989201546,
0.2359357327222824,
0.02558903582394123,
0.02272215485572815,
0.06477446109056473,
0.00918962899595499,
0.05327855795621872,
0.0334942452609539,
-0.007259451784193516,
-0.016889046877622604,
-0.054555878043174744,
-0.036957208067178726,
-0.018648914992809296,
0.029775815084576607,
0.0345161035656929,
0.01942950114607811,
0.030854444950819016,
-0.0024819092359393835,
-0.04294643551111221,
-0.01163073442876339,
-0.007117527071386576,
-0.03289816156029701,
-0.003643918316811323,
0.0669884905219078,
0.04053371399641037,
-0.007876824587583542,
-0.006791099905967712,
-0.005052521824836731,
0.012368743307888508,
-0.03329554945230484,
0.022935042157769203,
0.048027340322732925,
-0.03658820316195488,
0.03519734367728233,
-0.003913575317710638,
-0.024709101766347885,
-0.0007025275845080614,
-0.012021027505397797,
-0.01829410158097744,
0.0077987657859921455,
0.03054220974445343,
-0.059608399868011475,
0.0239569004625082,
-0.01439117081463337,
-0.008025845512747765,
-0.030343515798449516,
0.045784927904605865,
-0.025205837562680244,
0.0035374746657907963,
-0.014703406020998955,
-0.015881381928920746,
0.040789175778627396,
-0.007043016608804464,
0.0008701762417331338,
0.006890447344630957,
0.005620220676064491,
-0.020195893943309784,
-0.014100225642323494,
-0.0077987657859921455,
0.02770371362566948,
0.024609753862023354,
0.011928776279091835,
0.01188619900494814,
0.020777786150574684,
0.01388733834028244,
-0.0020454907789826393,
0.007280740421265364,
-0.0035853744484484196,
-0.007465242873877287,
-0.049077585339546204,
-0.009225109592080116,
-0.022097686305642128,
0.024240750819444656,
0.010708223097026348,
-0.05540742725133896,
0.010885629802942276,
0.008508389815688133,
-0.01189329568296671,
0.025816114619374275,
-0.028200451284646988,
-0.030854444950819016,
-0.02380078285932541,
-0.00014990803902037442,
-0.033522628247737885,
0.037439752370119095,
-0.005865041166543961,
0.04226519539952278,
-0.05676990747451782,
-0.0017314821016043425,
0.009210917167365551,
0.03284139186143875,
-0.014887907542288303,
0.05100776255130768,
-0.00719913374632597,
-0.0013846535002812743,
0.000922510982491076
] |
1213_0 | Actaeon (; Aktaion), in Greek mythology, son of the priestly herdsman Aristaeus and Autonoe in Boeotia, was a famous Theban hero. Like Achilles in a later generation, he was trained by the centaur Chiron.
He fell to the fatal wrath of Artemis, but the surviving details of his transgression vary: "the only certainty is in what Aktaion suffered, his pathos, and what Artemis did: the hunter became the hunted; he was transformed into a stag, and his raging hounds, struck with a 'wolf's frenzy' (Lyssa), tore him apart as they would a stag." This is the iconic motif by which Actaeon is recognized, both in ancient art and in Renaissance and post-Renaissance depictions.
The plot
Among others, John Heath has observed, "The unalterable kernel of the tale was a hunter's transformation into a deer and his death in the jaws of his hunting dogs. But authors were free to suggest different motives for his death." In the version that was offered by the Hellenistic poet Callimachus, which has become the standard setting, Artemis was bathing in the woods when the hunter Actaeon stumbled across her, thus seeing her naked. He stopped and stared, amazed at her ravishing beauty. Once seen, Artemis got revenge on Actaeon: she forbade him speech — if he tried to speak, he would be changed into a stag — for the unlucky profanation of her virginity's mystery.
Upon hearing the call of his hunting party, he cried out to them and immediately transformed. At this he fled deep into the woods, and doing so he came upon a pond and, seeing his reflection, groaned. His own hounds then turned upon him and pursued him, not recognizing him. In an endeavour to save himself, he raised his eyes (and would have raised his arms, had he had them) toward Mount Olympus. The gods did not heed his plea, and he was torn to pieces. An element of the earlier myth made Actaeon the familiar hunting companion of Artemis, no stranger. In an embroidered extension of the myth, the hounds were so upset with their master's death, that Chiron made a statue so lifelike that the hounds thought it was Actaeon. | [
0.03421151265501976,
-0.00012103754852432758,
0.03336258977651596,
-0.010745923966169357,
-0.04247434064745903,
-0.01635587587952614,
-0.03619232773780823,
-0.0020851618610322475,
0.0544724240899086,
-0.01399304624646902,
0.012160792015492916,
-0.028311511501669884,
-0.01805371791124344,
0.037409115582704544,
-0.02842470072209835,
0.014530695974826813,
-0.039870984852313995,
-0.033815350383520126,
-0.06570647656917572,
-0.00855995249003172,
0.020218465477228165,
0.020303357392549515,
-0.03551319241523743,
-0.029400959610939026,
0.03005179949104786,
0.021421104669570923,
0.01659640297293663,
0.006901019252836704,
-0.032626859843730927,
0.03375875577330589,
0.000760491646360606,
0.07498801499605179,
0.029740529134869576,
-0.01371007226407528,
0.009988969191908836,
-0.01267721876502037,
0.0040642088279128075,
-0.061744846403598785,
0.016568105667829514,
-0.0456436462700367,
0.037578899413347244,
-0.04680383950471878,
-0.009203717112541199,
0.028240768238902092,
-0.0025449940003454685,
0.021378658711910248,
0.009246163070201874,
-0.04272902011871338,
-0.01778489351272583,
-0.025510072708129883,
-0.0004660222039092332,
-0.014615587890148163,
-0.011644365265965462,
-0.030249880626797676,
-0.02511391043663025,
-0.06819664686918259,
0.028976500034332275,
0.005705455783754587,
0.03678657114505768,
0.041314151138067245,
0.02433573268353939,
-0.06202781945466995,
0.02733525261282921,
-0.043181777000427246,
-0.005044004879891872,
-0.015450360253453255,
0.047115109860897064,
0.021760672330856323,
0.035965949296951294,
0.051444604992866516,
0.012090048752725124,
0.04626619070768356,
0.034862350672483444,
-0.023118946701288223,
-0.05509496480226517,
-0.010533693246543407,
-0.04357793927192688,
0.005924760363996029,
0.05976403132081032,
-0.019369544461369514,
0.019426139071583748,
0.010286091826856136,
-0.014686331152915955,
-0.011891966685652733,
-0.02655707485973835,
0.016992567107081413,
-0.028905756771564484,
0.054953478276729584,
-0.03378705307841301,
0.00005391421291278675,
0.05509496480226517,
0.02401031367480755,
0.03755060210824013,
0.007442206609994173,
0.03090072050690651,
0.04386091232299805,
-0.018747003749012947,
0.03305131942033768,
-0.027179617434740067,
-0.001357389148324728,
0.03653189539909363,
-0.008949041366577148,
-0.020190168172121048,
-0.020572183653712273,
-0.022071942687034607,
0.004088968969881535,
-0.02144940197467804,
-0.0013565048575401306,
0.014969305135309696,
-0.01641247048974037,
0.030334774404764175,
-0.0029446943663060665,
0.06497074663639069,
-0.011587770655751228,
0.017233094200491905,
0.008149640634655952,
-0.06808345764875412,
0.016568105667829514,
-0.0442853718996048,
0.028042687103152275,
-0.000372950395103544,
0.01607290282845497,
0.02058633230626583,
0.003859052900224924,
0.002246103249490261,
-0.02920287847518921,
0.019539330154657364,
-0.04425707459449768,
-0.05285947397351265,
0.029429256916046143,
-0.02401031367480755,
-0.001352967694401741,
0.001871163141913712,
0.025340288877487183,
-0.03692805767059326,
0.01598801091313362,
0.03310791403055191,
0.004962650127708912,
0.040125660598278046,
-0.07396930456161499,
-0.003859052900224924,
-0.021746523678302765,
-0.01737458072602749,
0.07408249378204346,
-0.012776259332895279,
-0.019963789731264114,
0.008956115692853928,
0.044143885374069214,
-0.06768729537725449,
-0.010823741555213928,
-0.060726143419742584,
-0.0026758695021271706,
-0.03415491804480553,
0.017063310369849205,
-0.034862350672483444,
0.009224940091371536,
0.002230186015367508,
0.030164988711476326,
0.020359952002763748,
0.013257314451038837,
-0.041399043053388596,
-0.02067122422158718,
0.019426139071583748,
0.009974820539355278,
0.02228417433798313,
0.07996834814548492,
-0.003158693201839924,
-0.06491415202617645,
0.008687290363013744,
-0.029146283864974976,
-0.012620624154806137,
-0.0138303367421031,
-0.043974101543426514,
-0.043351560831069946,
0.02494412660598755,
0.03755060210824013,
-0.008496283553540707,
-0.053651802241802216,
-0.003706954652443528,
-0.01990719512104988,
-0.006193585228174925,
0.0021700540091842413,
-0.009946523234248161,
0.03641870617866516,
-0.0012150179827585816,
-0.013221942819654942,
-0.021463550627231598,
-0.006501319352537394,
-0.04272902011871338,
0.004842386115342379,
0.014488250017166138,
0.033730458468198776,
0.03030647523701191,
-0.01523813046514988,
0.013901080004870892,
0.05133141577243805,
-0.051274821162223816,
-0.06774388998746872,
0.03551319241523743,
0.015294725075364113,
0.0015360162360593677,
0.04026714712381363,
-0.022397363558411598,
-0.021378658711910248,
0.03924844413995743,
-0.017077459022402763,
0.03709784150123596,
0.03667338192462921,
-0.011212830431759357,
0.03559808433055878,
0.0030861811246722937,
-0.00788081530481577,
-0.0029889089055359364,
0.0524350143969059,
-0.015818225219845772,
-0.0038484414108097553,
-0.04884124919772148,
0.0534537211060524,
-0.030193286016583443,
0.02034580335021019,
0.004074820317327976,
0.026514628902077675,
-0.01990719512104988,
0.05215204134583473,
0.006094544660300016,
-0.03641870617866516,
0.047964029014110565,
0.017841488122940063,
-0.05181247368454933,
-0.059198085218667984,
0.03559808433055878,
-0.00025025481591001153,
-0.026443885639309883,
0.000286068650893867,
-0.03225899487733841,
0.017303837463259697,
-0.01127649936825037,
0.014757075347006321,
-0.052463311702013016,
0.010448801331222057,
0.0015775780193507671,
-0.03064604476094246,
0.059537652879953384,
-0.0009859862038865685,
-0.0005265962681733072,
0.033560674637556076,
0.000484592339489609,
-0.012613549828529358,
-0.0017172961961477995,
0.026854198426008224,
0.008121343329548836,
0.039446525275707245,
-0.01846402883529663,
-0.052887771278619766,
-0.06355588138103485,
0.003742326283827424,
0.03081582859158516,
-0.015506954863667488,
0.011432134546339512,
-0.06282014399766922,
-0.0478508397936821,
-0.012111271731555462,
0.01251450926065445,
-0.005058153532445431,
0.03157985582947731,
0.0244347732514143,
0.02043069712817669,
0.040974583476781845,
-0.03358897194266319,
-0.06163165718317032,
-0.021138129755854607,
-0.054330937564373016,
-0.05908489599823952,
0.03865419700741768,
-0.01250743493437767,
-0.013129976578056812,
0.05891511216759682,
-0.061914630234241486,
0.021152278408408165,
-0.015804076567292213,
-0.019935492426156998,
0.03998417407274246,
-0.09581486880779266,
-0.038342926651239395,
-0.006204196717590094,
0.04366283118724823,
0.0023928957525640726,
0.04765275865793228,
-0.02282182313501835,
-0.03432470187544823,
-0.026825901120901108,
-0.04635108262300491,
-0.0453040786087513,
-0.02722206339240074,
0.018520623445510864,
0.011948561295866966,
0.025297842919826508,
-0.03463597223162651,
0.009698920883238316,
-0.07996834814548492,
0.036899760365486145,
-0.02988201566040516,
-0.016964269801974297,
0.04179520532488823,
-0.06219760328531265,
-0.0024512591771781445,
0.031947724521160126,
-0.0259628314524889,
-0.011255276389420033,
-0.03189112991094589,
-0.04346475005149841,
0.035286810249090195,
-0.03950311988592148,
0.02732110396027565,
-0.04799232631921768,
0.007576618809252977,
0.00957865733653307,
0.0270664282143116,
-0.00910467654466629,
-0.030589450150728226,
0.014870264567434788,
-0.045247483998537064,
0.015393765643239021,
-0.007718105800449848,
-0.01025072019547224,
0.01948273554444313,
0.010349760763347149,
-0.024830935522913933,
0.017855636775493622,
-0.008114269003272057,
-0.014530695974826813,
0.018336690962314606,
-0.037409115582704544,
-0.003993465565145016,
0.012705516070127487,
-0.004902518354356289,
-0.028339808806777,
0.0038059954531490803,
0.026019426062703133,
0.01642661914229393,
0.014841967262327671,
-0.026613669469952583,
0.016950121149420738,
0.027165468782186508,
-0.03523021563887596,
0.006218345370143652,
0.034352999180555344,
-0.004354256670922041,
-0.051105037331581116,
0.022241728380322456,
-0.02324628457427025,
0.0280002411454916,
-0.04383261501789093,
0.009904077276587486,
0.03941822797060013,
0.023812230676412582,
0.03873908892273903,
0.016044605523347855,
-0.01966666802763939,
-0.02869352698326111,
0.0138303367421031,
0.025920385494828224,
-0.019808154553174973,
-0.00855995249003172,
0.029570745304226875,
-0.04833189770579338,
-0.012705516070127487,
0.017134053632616997,
0.024293286725878716,
0.014141607098281384,
0.04490791633725166,
0.01409208681434393,
-0.01238717045634985,
-0.008786330930888653,
-0.016879377886652946,
0.05781151354312897,
0.004623081535100937,
0.004531115293502808,
0.008800479583442211,
-0.056651320308446884,
0.013568585738539696,
0.017247242853045464,
0.029429256916046143,
0.009005635976791382,
0.009309832938015461,
0.003317865775898099,
0.03735252097249031,
0.02996690757572651,
-0.02494412660598755,
-0.021633334457874298,
0.002622811822220683,
0.04400239884853363,
0.037409115582704544,
-0.04221966490149498,
0.007951559498906136,
-0.04833189770579338,
0.020558035001158714,
0.003201139159500599,
0.029174581170082092,
-0.035711273550987244,
0.033164508640766144,
-0.037918467074632645,
0.021902158856391907,
0.03752230480313301,
-0.018067866563796997,
0.03152326121926308,
-0.01668129488825798,
0.055208154022693634,
0.009260311722755432,
-0.001069994061253965,
-0.026769306510686874,
0.04816211387515068,
-0.047115109860897064,
-0.0005588729400187731,
0.028523743152618408,
-0.002102847909554839,
-0.07674244791269302,
0.010003117844462395,
0.03967290371656418,
0.018619665876030922,
0.05461391061544418,
-0.018364988267421722,
0.060047004371881485,
0.0244347732514143,
0.02903309464454651,
-0.0012565797660499811,
-0.01661055162549019,
-0.04354964196681976,
-0.010095084086060524,
0.015068345703184605,
0.03871079161763191,
-0.01624268665909767,
-0.021378658711910248,
0.03480575606226921,
0.00747050391510129,
-0.007120323833078146,
0.020402399823069572,
0.004998021759092808,
-0.002875719452276826,
-0.02043069712817669,
0.021548442542552948,
-0.0019029977265745401,
-0.0009912920650094748,
-0.016808634623885155,
0.0027112411335110664,
-0.008475060574710369,
0.007049580570310354,
0.0230764988809824,
-0.005270383786410093,
0.010080935433506966,
0.030419666320085526,
-0.03223069757223129,
-0.020190168172121048,
-0.0048176259733736515,
-0.018110312521457672,
-0.012196163646876812,
-0.028919905424118042,
0.0030631895642727613,
0.018930936232209206,
0.035201918333768845,
-0.024703597649931908,
0.009840408340096474,
0.005461391061544418,
-0.028283214196562767,
-0.0028863311745226383,
0.051699284464120865,
-0.029853718355298042,
0.030759233981370926,
-0.0115382494404912,
-0.013108753599226475,
0.011326019652187824,
-0.015591846778988838,
-0.021902158856391907,
-0.02391127124428749,
0.010413429699838161,
-0.048812951892614365,
-0.0005610836669802666,
0.0022248802706599236,
0.005542745813727379,
0.0476810559630394,
0.012528657913208008,
-0.000014756632481294218,
0.029768826439976692,
-0.0012822243152186275,
0.013731295242905617,
-0.021463550627231598,
0.012054677121341228,
-0.012019305489957333,
-0.015181535854935646,
-0.01624268665909767,
0.014799521304666996,
-0.018152758479118347,
0.010611510835587978,
-0.0015828837640583515,
0.007014208938926458,
0.005309292580932379,
-0.009755516424775124,
0.004863609094172716,
0.058518946170806885,
0.012634772807359695,
-0.020062830299139023,
-0.011460431851446629,
-0.015521103516221046,
0.024491367861628532,
0.027278658002614975,
-0.012082974426448345,
-0.05087865889072418,
-0.007725180126726627,
-0.03545659780502319,
0.04680383950471878,
0.002525539603084326,
-0.00661450857296586,
0.0016226769657805562,
0.0035300960298627615,
0.006190048065036535,
0.0019985013641417027,
0.006724161095917225,
0.03115539625287056,
0.03124028816819191,
0.05693429335951805,
-0.00715215876698494,
-0.029995204880833626,
-0.023515108972787857,
0.06587626039981842,
-0.011891966685652733,
-0.010158753022551537,
0.02313309535384178,
-0.0004792865947820246,
-0.06327290087938309,
-0.02903309464454651,
0.020614629611372948,
-0.03497553989291191,
-0.06406523287296295,
-0.0033054857049137354,
0.00807889737188816,
-0.024364029988646507,
-0.003912110347300768,
0.028127579018473625,
0.006282014772295952,
-0.027858754619956017,
-0.01966666802763939,
0.010229497216641903,
0.04714340716600418,
-0.01786978542804718,
-0.03811654821038246,
-0.001236241078004241,
0.05931127443909645,
0.034268107265233994,
-0.003006594954058528,
0.044624943286180496,
-0.0005739058833569288,
0.08302446454763412,
-0.001536900526843965,
-0.020558035001158714,
-0.024562111124396324,
-0.02000623568892479,
0.006398741155862808,
-0.011318945325911045,
0.011545324698090553,
0.014728778041899204,
0.03678657114505768,
0.00738561199977994,
-0.05339712277054787,
-0.03361726924777031,
0.015096643008291721,
-0.010314389131963253,
-0.01956762745976448,
-0.03514532372355461,
0.08262830227613449,
0.00979088805615902,
-0.008100120350718498,
0.008524580858647823,
0.023699041455984116,
0.05925467982888222,
0.018506474792957306,
-0.048218708485364914,
-0.04154052957892418,
-0.016893526539206505,
-0.03794676437973976,
0.03322110325098038,
-0.03540000319480896,
-0.03658849000930786,
-0.024731894955039024,
0.037239331752061844,
0.05744364857673645,
-0.017558513209223747,
-0.01379496417939663,
0.02662781812250614,
0.01634172722697258,
-0.008743884973227978,
-0.007739328779280186,
-0.001420173910446465,
0.018930936232209206,
0.008616547100245953,
-0.0537932887673378,
-0.030023502185940742,
-0.00799400545656681,
-0.002463639248162508,
0.011326019652187824,
-0.022100239992141724,
-0.017148202285170555,
0.016469065099954605,
-0.01948273554444313,
0.002308003604412079,
0.04168201610445976,
-0.006543765310198069,
-0.021307915449142456,
-0.03576786816120148,
0.04612470045685768,
0.03831462934613228,
-0.021067386493086815,
0.052293527871370316,
-0.0031197844073176384,
0.009833334013819695,
0.014983453787863255,
-0.005762050393968821,
-0.02068537287414074,
-0.05189736559987068,
-0.0008688175003044307,
0.032909832894802094,
-0.02358585223555565,
0.01941199041903019,
0.004467446357011795,
-0.027405995875597,
0.013073381967842579,
-0.03981439024209976,
0.033900242298841476,
-0.03981439024209976,
-0.008588249795138836,
-0.020812710747122765,
-0.02382637932896614,
0.0010912170400843024,
-0.018534772098064423,
0.015945564955472946,
-0.022270025685429573,
0.026090169325470924,
0.008609472773969173,
-0.004792865831404924,
-0.037069544196128845,
0.018874341621994972,
0.020105276256799698,
-0.04816211387515068,
-0.03285323828458786,
-0.09949352592229843,
-0.0007529751746915281,
-0.01788393408060074,
-0.01915731467306614,
0.010279017500579357,
0.04168201610445976,
-0.013434173539280891,
-0.03353237733244896,
0.03378705307841301,
0.015337171033024788,
-0.0029942146502435207,
-0.06327290087938309,
0.02750503644347191,
-0.03313621133565903,
-0.01033561211079359,
-0.01598801091313362,
0.03313621133565903,
0.020105276256799698,
-0.008361870422959328,
-0.06032997742295265,
-0.010144604369997978,
0.06248057633638382,
0.010378058068454266,
-0.01922805793583393,
0.01598801091313362,
-0.04219136759638786,
-0.04499280825257301,
-0.02877841889858246,
-0.010752998292446136,
-0.009055156260728836,
-0.011226979084312916,
-0.013752518221735954,
-0.029231175780296326,
-0.03497553989291191,
0.017671704292297363,
0.029429256916046143,
-0.004078357480466366,
0.033249400556087494,
-0.002757224254310131,
-0.0001625993027118966,
-0.009946523234248161,
0.0022744005545973778,
-0.03692805767059326,
-0.009833334013819695,
0.017643405124545097,
0.05181247368454933,
-0.0035318646114319563,
0.006575599778443575,
0.037833575159311295,
0.056396644562482834,
-0.0024424162693321705,
0.004573561251163483,
0.02245395816862583,
0.019511032849550247,
0.0025697543751448393,
-0.001633288455195725,
0.03217410296201706,
0.01710575632750988,
0.046011511236429214,
-0.04468153789639473,
0.005811571143567562,
0.012436690740287304,
-0.04312518239021301,
0.020190168172121048,
0.02289256639778614,
0.002028567250818014,
-0.025297842919826508,
0.01192026399075985,
-0.06049976125359535,
0.007661511190235615,
-0.038597602397203445,
-0.01485611591488123,
-0.01598801091313362,
0.021336212754249573,
-0.02552422136068344,
0.004732734058052301,
0.03191942721605301,
0.026528777554631233,
0.0038059954531490803,
0.06604604423046112,
-0.027207914739847183,
0.049661871045827866,
0.020204316824674606,
-0.0048353117890655994,
0.018619665876030922,
0.037324223667383194,
0.04841678962111473,
-0.056141968816518784,
-0.012663070112466812,
-0.004117266274988651,
0.07702542096376419,
0.013681774958968163,
-0.0031639989465475082,
-0.013030936010181904,
-0.00000707088656781707,
-0.02178896963596344,
-0.02579304575920105,
0.027038130909204483,
-0.0023592927027493715,
-0.003365617711097002,
-0.052038852125406265,
-0.07085660099983215,
-0.07238465547561646,
-0.0238405279815197,
-0.06836643069982529,
0.023798082023859024,
0.011149161495268345,
0.0036397483199834824,
0.03313621133565903,
-0.03285323828458786,
0.009118825197219849,
-0.018166907131671906,
-0.011608993634581566,
-0.0011884892592206597,
0.00995359756052494,
-0.004400239791721106,
0.0035212531220167875,
0.014318466186523438,
-0.011983932927250862,
0.0013697692193090916,
-0.0038449042476713657,
0.00319052767008543,
-0.03514532372355461,
-0.05444412678480148,
0.016978418454527855,
0.049237411469221115,
-0.01661055162549019,
0.02442062459886074,
-0.060726143419742584,
0.0024689449928700924,
-0.006515468005090952,
0.024830935522913933,
-0.009776739403605461,
-0.04049352556467056,
-0.026528777554631233,
0.03115539625287056,
-0.009267386049032211,
0.032457076013088226,
0.03047626093029976,
-0.0125994011759758,
0.06847961992025375,
-0.03474916145205498,
-0.0033620805479586124,
0.019511032849550247,
0.04875635728240013,
-0.025170505046844482,
0.009677697904407978,
0.04725659638643265,
-0.001725254813209176,
0.021237170323729515,
-0.029853718355298042,
-0.008956115692853928,
0.017855636775493622,
-0.004180935211479664,
0.00838309433311224,
0.0033302458468824625,
0.00489544402807951,
0.022439809516072273,
0.05002973973751068,
-0.0041243406012654305,
0.019454436376690865,
0.04935060068964958,
-0.000026321522454963997,
0.02705227956175804,
0.011014748364686966,
-0.002624580403789878,
-0.019963789731264114,
-0.0007985162083059549,
0.05334052816033363,
0.005461391061544418,
-0.018959233537316322,
0.012436690740287304,
0.02628825046122074,
0.010470024310052395,
-0.0017155276145786047,
-0.010300240479409695,
0.03013669140636921,
-0.1024930477142334,
0.040974583476781845,
0.023090649396181107,
0.022326620295643806,
-0.030164988711476326,
0.04935060068964958,
-0.026175061240792274,
-0.013554437085986137,
0.005956594832241535,
0.0036468226462602615,
0.010172901675105095,
-0.028070984408259392,
-0.04680383950471878,
0.04969016835093498,
0.02528369426727295,
0.026741009205579758,
-0.029146283864974976,
0.01771415024995804,
-0.006522542331367731,
-0.0008878297521732748,
-0.020558035001158714,
0.04626619070768356,
0.010017266497015953,
-0.028651081025600433,
0.016214389353990555,
-0.000881639716681093,
0.018435731530189514,
0.010484172962605953,
-0.01127649936825037,
0.0029093227349221706,
0.0012937200954183936,
-0.012924821116030216,
0.006752458401024342,
0.03545659780502319,
0.01990719512104988,
0.04782254248857498,
-0.016228538006544113,
-0.02221343107521534,
0.029995204880833626,
0.020897602662444115,
-0.024194246158003807,
-0.024463070556521416,
0.005514448508620262,
-0.06304652243852615,
0.062423981726169586,
-0.014049640856683254,
-0.017346283420920372,
0.0270664282143116,
-0.05999040976166725,
-0.03446618840098381,
0.029938610270619392,
0.007120323833078146,
-0.024576259776949883,
0.00855287816375494,
-0.023359473794698715,
0.004750419873744249,
-0.025340288877487183,
0.03429640457034111,
0.06780048459768295,
-0.034437891095876694,
0.024222543463110924,
0.0263023991137743,
-0.08211895078420639,
-0.0057372902520000935,
-0.023387771099805832,
0.031211990863084793,
-0.0441155880689621,
-0.06491415202617645,
-0.023783933371305466,
-0.015620144084095955,
0.010144604369997978,
-0.022850120440125465,
0.02425084076821804,
-0.009550360031425953,
0.02451966516673565,
0.052038852125406265,
-0.015393765643239021,
0.009635251946747303,
-0.02085515670478344,
-0.00919664278626442,
-0.015506954863667488,
0.03514532372355461,
0.0006101619219407439,
-0.010922782123088837,
0.005227937828749418,
-0.031098801642656326,
-0.021463550627231598,
-0.06604604423046112,
-0.02628825046122074,
-0.010073861107230186,
-0.05384988337755203,
0.005797422491014004,
0.007120323833078146,
0.0027041668072342873,
0.01362518034875393,
0.013879857026040554,
-0.01999208703637123,
0.038258034735918045,
-0.019454436376690865,
-0.04103117808699608,
0.023953717201948166,
-0.05164268985390663,
0.011403837241232395,
0.004088968969881535,
0.0010151679161936045,
0.003908573184162378,
-0.03367386385798454,
0.05384988337755203,
-0.0010045564267784357,
0.23294389247894287,
0.04833189770579338,
0.053821586072444916,
0.006041487213224173,
-0.014481175690889359,
0.047879137098789215,
0.03367386385798454,
-0.019369544461369514,
-0.021491847932338715,
-0.016992567107081413,
0.03845611587166786,
0.03418321534991264,
0.003876738715916872,
0.013200719840824604,
0.011517026461660862,
0.04816211387515068,
-0.041653718799352646,
-0.002948231529444456,
-0.049661871045827866,
-0.04578513279557228,
-0.013802038505673409,
-0.006257254630327225,
0.002615737495943904,
-0.014339689165353775,
-0.022312471643090248,
0.0018428658368065953,
0.05065228044986725,
-0.010908633470535278,
0.012436690740287304,
0.011814149096608162,
-0.03967290371656418,
0.030589450150728226,
-0.012443765066564083,
-0.03568297624588013,
0.013158273883163929,
-0.004672602284699678,
0.042927101254463196,
-0.0483601950109005,
0.011460431851446629,
-0.026344845071434975,
-0.03146666660904884,
0.025807194411754608,
-0.04742638021707535,
-0.03200431913137436,
0.014021343551576138,
0.006876259110867977,
-0.03183453530073166,
0.0006092776311561465,
0.015280576422810555,
-0.019808154553174973,
0.06553669273853302,
-0.041059475392103195,
0.0029800659976899624,
-0.05948105826973915,
-0.023529257625341415,
0.0005827488494105637,
0.021307915449142456,
-0.003376229200512171,
-0.02306235022842884,
-0.004803477320820093,
0.03913525491952896,
-0.01856306940317154,
0.0018906175391748548,
0.03692805767059326,
0.009507914073765278,
0.08817458152770996,
0.00029402729705907404,
0.012804556638002396,
-0.05806618928909302,
-0.00855287816375494,
-0.042927101254463196,
-0.02773141674697399,
-0.008913669735193253,
-0.0037494006101042032,
0.09938033670186996,
-0.019638370722532272,
0.03039136901497841,
0.05891511216759682,
-0.015563549473881721,
0.033730458468198776,
-0.02835395745933056,
-0.05931127443909645,
-0.04083309695124626,
0.02511391043663025,
0.018662111833691597,
0.03013669140636921,
0.0038307555951178074,
0.024222543463110924,
0.0017606265610083938,
0.02715132012963295,
0.016709592193365097,
0.01709160767495632,
0.014827818609774113,
-0.005220863502472639,
-0.019454436376690865
] |
1213_1 | There are various other versions of his transgression: The Hesiodic Catalogue of Women and pseudo-Apollodoran Bibliotheke state that his offense was that he was a rival of Zeus for Semele, his mother's sister, whereas in Euripides' Bacchae he has boasted that he is a better hunter than Artemis:
Further materials, including fragments that belong with the Hesiodic Catalogue of Women and at least four Attic tragedies, including a Toxotides of Aeschylus, have been lost. Diodorus Siculus (4.81.4), in a variant of Actaeon's hubris that has been largely ignored, has it that Actaeon wanted to marry Artemis. Other authors say the hounds were Artemis' own; some lost elaborations of the myth seem to have given them all names and narrated their wanderings after his loss.
According to the Latin version of the story told by the Roman Ovid having accidentally seen Diana (Artemis) on Mount Cithaeron while she was bathing, he was changed by her into a stag, and pursued and killed by his fifty hounds. This version also appears in Callimachus' Fifth Hymn, as a mythical parallel to the blinding of Tiresias after he sees Athena bathing.
The literary testimony of Actaeon's myth is largely lost, but Lamar Ronald Lacy, deconstructing the myth elements in what survives and supplementing it by iconographic evidence in late vase-painting, made a plausible reconstruction of an ancient Actaeon myth that Greek poets may have inherited and subjected to expansion and dismemberment. His reconstruction opposes a too-pat consensus that has an archaic Actaeon aspiring to Semele, a classical Actaeon boasting of his hunting prowess and a Hellenistic Actaeon glimpsing Artemis' bath. Lacy identifies the site of Actaeon's transgression as a spring sacred to Artemis at Plataea where Actaeon was a hero archegetes ("hero-founder") The righteous hunter, the companion of Artemis, seeing her bathing naked in the spring, was moved to try to make himself her consort, as Diodorus Siculus noted, and was punished, in part for transgressing the hunter's "ritually enforced deference to Artemis" (Lacy 1990:42).
Names of dogs
Notes: | [
0.025222958996891975,
-0.012161336839199066,
0.024427708238363266,
-0.04102294519543648,
-0.04792512208223343,
-0.004238837398588657,
-0.0377219021320343,
0.0071385023184120655,
0.08288615196943283,
0.0035730022937059402,
-0.011741205118596554,
-0.023047272115945816,
0.024247650057077408,
0.006219462491571903,
-0.034240804612636566,
0.021816883236169815,
-0.015102265402674675,
-0.03502105176448822,
-0.06950192898511887,
0.0030197028536349535,
0.029874425381422043,
-0.015252312645316124,
-0.03658154234290123,
-0.016355160623788834,
0.024937868118286133,
0.022342050448060036,
0.021351737901568413,
0.021306723356246948,
0.011336077004671097,
-0.0059793866239488125,
0.021516788750886917,
0.0837264209985733,
0.021816883236169815,
-0.0364915132522583,
0.02156180329620838,
-0.02967936545610428,
-0.02373749017715454,
-0.05752815306186676,
0.0043926360085606575,
-0.0594787672162056,
0.016550222411751747,
-0.06091922149062157,
0.001605506637133658,
-0.0031828791834414005,
0.0020819068886339664,
0.04738495126366615,
-0.005671789404004812,
-0.049965765327215195,
-0.020841576159000397,
-0.0447741262614727,
-0.015860004350543022,
-0.03979255631566048,
-0.01375183928757906,
-0.025192949920892715,
0.021471774205565453,
-0.03757185488939285,
0.018710903823375702,
-0.01989627815783024,
0.033280499279499054,
0.014502075500786304,
0.01953616365790367,
-0.021471774205565453,
0.02480282634496689,
-0.0475349985063076,
-0.016205113381147385,
0.002181313233450055,
0.021336732432246208,
0.0003788695321418345,
0.00721352593973279,
0.022582124918699265,
0.030249545350670815,
0.014817175455391407,
0.03214013949036598,
-0.022176997736096382,
-0.04120299965143204,
-0.03634146600961685,
-0.020676523447036743,
-0.008237599395215511,
0.0463046096265316,
0.00492155272513628,
0.04063282161951065,
0.01185374055057764,
-0.023017263039946556,
-0.010638357140123844,
-0.02835894748568535,
0.002875282196328044,
-0.011126010678708553,
0.052906692028045654,
-0.02103663794696331,
0.017645567655563354,
0.03325049206614494,
0.03964250907301903,
0.0395524799823761,
0.021081652492284775,
0.01470464002341032,
0.02747366949915886,
-0.030579648911952972,
0.025252968072891235,
0.016535216942429543,
0.014794668182730675,
0.0003439366410020739,
0.007487362716346979,
0.01986626908183098,
-0.009385460987687111,
-0.04501420259475708,
0.0012332015903666615,
0.013714327476918697,
0.002653962466865778,
0.04594449698925018,
-0.012131327763199806,
0.03514108806848526,
-0.00036550595541484654,
0.043093595653772354,
-0.0019027878297492862,
0.038862261921167374,
0.019641198217868805,
-0.08204589039087296,
-0.03256027400493622,
-0.0619395449757576,
-0.01736047863960266,
0.004490166902542114,
0.013946901075541973,
-0.01913103647530079,
0.013676815666258335,
-0.007502367254346609,
-0.032890379428863525,
0.015439871698617935,
-0.018110714852809906,
-0.05461723357439041,
0.008245101198554039,
-0.02456275001168251,
0.0064070215448737144,
0.0038280829321593046,
0.003248525084927678,
-0.015319833531975746,
-0.0018812186317518353,
0.023107290267944336,
-0.014742151834070683,
0.048735376447439194,
-0.07706431299448013,
-0.01091594435274601,
-0.008822783827781677,
-0.013406730256974697,
0.07766450196504593,
0.015312331728637218,
-0.003516734577715397,
-0.003301041666418314,
0.03937242180109024,
-0.06025901436805725,
0.014629616402089596,
-0.08078549057245255,
-0.017645567655563354,
0.018500838428735733,
-0.00288653583265841,
-0.006174448411911726,
0.003923737909644842,
0.017705585807561874,
-0.004238837398588657,
0.020811567083001137,
0.02624328061938286,
-0.06578075885772705,
-0.01854585111141205,
-0.014659625478088856,
0.04222332313656807,
0.0024026331957429647,
0.09092868864536285,
-0.00982810091227293,
-0.03108981065452099,
0.033010415732860565,
-0.025583071634173393,
0.00735232001170516,
-0.0022169495932757854,
-0.06770136207342148,
-0.032860368490219116,
0.002008758718147874,
0.021696846932172775,
-0.012603976763784885,
-0.0463046096265316,
-0.009670550934970379,
-0.009287931025028229,
0.021816883236169815,
0.020901594310998917,
0.02265714854001999,
0.01916104555130005,
-0.0031941328197717667,
-0.022282030433416367,
0.0077424431219697,
-0.04360375925898552,
-0.04612455517053604,
0.015814989805221558,
0.018500838428735733,
0.052606597542762756,
0.02195192687213421,
0.00982810091227293,
0.031750019639730453,
0.05038589984178543,
-0.04177318140864372,
-0.035771287977695465,
0.04921552911400795,
0.004643965512514114,
-0.005330431740731001,
0.04666472598910332,
-0.03775191307067871,
0.01076589711010456,
0.026018209755420685,
-0.04552436247467995,
0.02112666517496109,
0.0420132577419281,
-0.022717168554663658,
0.03090975247323513,
0.02198193594813347,
0.009070361964404583,
-0.033040426671504974,
0.023317357525229454,
-0.005184135865420103,
-0.0022169495932757854,
-0.018995994701981544,
0.043093595653772354,
-0.04504421353340149,
0.015469880774617195,
0.019281083717942238,
0.018590865656733513,
-0.01120853703469038,
0.048465292900800705,
0.003197883954271674,
-0.02036142535507679,
0.05599766969680786,
0.007142253685742617,
-0.04243338853120804,
-0.05320678651332855,
0.015409862622618675,
0.0009959392482414842,
-0.003912484738975763,
-0.02198193594813347,
-0.042883530259132385,
0.027368634939193726,
0.017885643988847733,
0.03475096449255943,
-0.05596765875816345,
0.047054845839738846,
0.005420460365712643,
0.010818413458764553,
0.07442348450422287,
0.030189525336027145,
0.0005270413239486516,
0.00952050369232893,
0.0049703181721270084,
0.010098186321556568,
0.019371112808585167,
0.0677613839507103,
0.003919987007975578,
0.01953616365790367,
-0.025282977148890495,
-0.05497734621167183,
-0.05101609602570534,
0.005799329839646816,
0.022492097690701485,
-0.012078811414539814,
0.03811202570796013,
-0.058488454669713974,
-0.03337052837014198,
-0.02097661793231964,
0.013609293848276138,
-0.03108981065452099,
0.024982882663607597,
0.018080705776810646,
0.04957564175128937,
0.05224648490548134,
-0.0000037914794575044652,
-0.04348371922969818,
-0.013871877454221249,
-0.04468410089612007,
-0.0785047709941864,
0.02165183238685131,
-0.02250710129737854,
-0.01379685290157795,
0.044203948229551315,
-0.029844416305422783,
0.015199796296656132,
-0.024787820875644684,
-0.0003497978614177555,
0.05179634317755699,
-0.05479729175567627,
-0.026318304240703583,
0.0009846857283264399,
0.03916235640645027,
-0.03105979971587658,
0.05578760430216789,
-0.02342239022254944,
-0.022852210327982903,
0.013219171203672886,
-0.04258343577384949,
-0.02183188870549202,
-0.05596765875816345,
0.016415178775787354,
0.032920386642217636,
0.009115376509726048,
-0.012056304141879082,
-0.0018568359082564712,
-0.07190268486738205,
0.008230096660554409,
-0.048645347356796265,
0.004786510486155748,
0.005480479449033737,
-0.029214218258857727,
-0.019671207293868065,
0.024142617359757423,
-0.01442705187946558,
-0.015995046123862267,
-0.018665889278054237,
-0.05380697920918465,
0.0355612188577652,
-0.025568068027496338,
0.044113919138908386,
-0.034300822764635086,
0.02750367857515812,
-0.0004923428641632199,
0.012461432255804539,
-0.040062639862298965,
-0.06404020637273788,
-0.009362954646348953,
-0.04075285792350769,
0.027518682181835175,
-0.009347949177026749,
-0.035681258887052536,
-0.006624590139836073,
0.02673843689262867,
-0.03958249092102051,
0.024667782709002495,
0.004966567270457745,
-0.018575862050056458,
0.02832893840968609,
-0.028569014742970467,
-0.017210429534316063,
0.038532156497240067,
-0.0098130963742733,
-0.025057906284928322,
-0.02483283542096615,
0.010840920731425285,
-0.0077349403873085976,
0.011178527027368546,
-0.030279554426670074,
0.014239492826163769,
0.013159152120351791,
-0.061429381370544434,
-0.024457717314362526,
0.03346055746078491,
-0.03667157143354416,
-0.03565124794840813,
0.0003122860216535628,
-0.039852574467659,
0.006309490650892258,
-0.04636462777853012,
0.011816228739917278,
0.045794449746608734,
0.0450742207467556,
0.040002621710300446,
0.016940345987677574,
-0.011321072466671467,
-0.015409862622618675,
0.015409862622618675,
0.03898230195045471,
0.006894675549119711,
-0.004460157360881567,
0.025027897208929062,
-0.027143564075231552,
0.011501128785312176,
-0.008582708425819874,
0.04732493311166763,
-0.00697720143944025,
0.031569961458444595,
0.03382067009806633,
0.0038824749644845724,
0.0053754462860524654,
0.0035054811742156744,
0.04513424262404442,
0.005866851191967726,
-0.027728749439120293,
0.029934445396065712,
-0.053866997361183167,
-0.003261654172092676,
-0.023287348449230194,
0.016730278730392456,
0.006365758366882801,
-0.0031322382856160402,
0.019326098263263702,
0.01534984353929758,
0.029034161940217018,
-0.026408333331346512,
-0.045734431594610214,
-0.013009104877710342,
0.03283035755157471,
0.037541843950748444,
-0.039972610771656036,
-0.001404818263836205,
-0.03105979971587658,
0.033040426671504974,
0.017885643988847733,
0.007164760492742062,
-0.005664287135004997,
0.03682161867618561,
0.0024982881732285023,
0.0034604668617248535,
0.014186976477503777,
-0.02303226664662361,
0.010600845329463482,
-0.04588447883725166,
0.023047272115945816,
-0.013849370181560516,
-0.0019431131659075618,
0.0051391213200986385,
0.02027139626443386,
-0.016400175169110298,
0.025027897208929062,
0.01057833805680275,
-0.023017263039946556,
-0.0625397339463234,
0.01695534959435463,
0.01889096014201641,
0.01522230263799429,
0.05446718633174896,
-0.038802243769168854,
0.047144874930381775,
0.0012641488574445248,
0.03796197846531868,
-0.005626775324344635,
-0.0042650955729186535,
-0.08036535978317261,
-0.007532376796007156,
0.023932551965117455,
-0.0017489893361926079,
-0.00806504487991333,
-0.006699613761156797,
0.03014451079070568,
-0.02738364040851593,
0.014817175455391407,
0.025733118876814842,
0.010728385299444199,
-0.013826862908899784,
0.016970355063676834,
0.06277980655431747,
-0.00042364929686300457,
-0.02303226664662361,
0.0038093270268291235,
0.004171316046267748,
0.005004079081118107,
0.035981353372335434,
0.029874425381422043,
-0.008132565766572952,
0.01898098923265934,
0.059748850762844086,
-0.04177318140864372,
-0.013174156658351421,
-0.015799986198544502,
0.027308616787195206,
-0.01549989078193903,
-0.018080705776810646,
0.04210328310728073,
0.01959618367254734,
0.01604006066918373,
-0.016145093366503716,
0.027518682181835175,
0.03319047391414642,
-0.04609454423189163,
0.005202891770750284,
0.022867215797305107,
-0.023662466555833817,
-0.00886029563844204,
-0.022342050448060036,
-0.009903124533593655,
0.031780026853084564,
0.014224488288164139,
-0.009445480071008205,
0.021726856008172035,
-0.006598331965506077,
-0.022462086752057076,
0.0027233592700213194,
0.013189161196351051,
0.013249180279672146,
0.04897545278072357,
0.032920386642217636,
0.04606453329324722,
0.014449559152126312,
-0.01880093291401863,
-0.005326680839061737,
-0.0017780610360205173,
0.0034867252688854933,
-0.044173937290906906,
0.021471774205565453,
-0.015965037047863007,
0.04330366477370262,
-0.010998470708727837,
-0.006437031086534262,
0.0058368416503071785,
0.0035186102613806725,
-0.023662466555833817,
-0.008590210229158401,
-0.025703109800815582,
0.037331778556108475,
0.02679845504462719,
0.008627722039818764,
-0.012889066711068153,
-0.012228858657181263,
0.008290115743875504,
0.05479729175567627,
-0.027923811227083206,
-0.03508106991648674,
-0.024322673678398132,
0.022207006812095642,
0.06878170371055603,
0.012168839573860168,
0.002258212538436055,
0.04408390820026398,
0.016145093366503716,
0.006208208855241537,
0.02165183238685131,
0.040002621710300446,
-0.002400757512077689,
-0.00884529110044241,
0.06656099855899811,
-0.008762764744460583,
-0.06067914515733719,
-0.011891252361238003,
0.006298237480223179,
0.0023538677487522364,
0.007802461739629507,
0.04174317046999931,
-0.018635880202054977,
-0.05497734621167183,
-0.04195323586463928,
-0.017795614898204803,
-0.03841212019324303,
-0.07466355711221695,
-0.03796197846531868,
0.022792192175984383,
-0.021936921402812004,
0.015574914403259754,
0.045614391565322876,
0.01044329535216093,
-0.022897224873304367,
-0.059838879853487015,
0.015147279016673565,
0.035981353372335434,
-0.0015811239136382937,
-0.04342370107769966,
0.0016045687953010201,
0.0638001337647438,
0.02535800077021122,
0.019386116415262222,
0.035921335220336914,
-0.04069283977150917,
0.07442348450422287,
-0.010068177245557308,
-0.02664840780198574,
-0.006512054707854986,
0.013406730256974697,
0.015229805372655392,
-0.012896569445729256,
-0.0000169828981597675,
0.017165416851639748,
0.02949930727481842,
0.021336732432246208,
-0.05896860733628273,
-0.055487509816884995,
-0.026423336938023567,
-0.008035034872591496,
-0.028448976576328278,
-0.03391069918870926,
0.08108558505773544,
0.02876407653093338,
0.0006119118188507855,
-0.011336077004671097,
0.029664359986782074,
0.050055794417858124,
-0.009205404669046402,
-0.03078971430659294,
0.0015136025613173842,
-0.022927233949303627,
-0.023932551965117455,
0.04027270898222923,
-0.048675358295440674,
-0.03682161867618561,
-0.025162938982248306,
0.03910233825445175,
0.058308396488428116,
-0.05359691008925438,
-0.017840629443526268,
0.05047592520713806,
0.018320780247449875,
0.0032597784884274006,
-0.03457091003656387,
-0.016970355063676834,
0.025057906284928322,
0.0031922573689371347,
-0.043543741106987,
-0.0377219021320343,
-0.01122354157269001,
-0.005893109366297722,
-0.0025076663587242365,
0.0032804100774228573,
0.007476109080016613,
0.021966930478811264,
-0.021486779674887657,
-0.0036348968278616667,
0.025688106194138527,
0.025868162512779236,
-0.03784193843603134,
-0.03379066288471222,
0.007952509447932243,
0.04771505668759346,
-0.003462342545390129,
0.03072969615459442,
0.0067033651284873486,
0.001392626902088523,
-0.0037155472673475742,
0.015319833531975746,
-0.04768504574894905,
-0.06560070067644119,
0.02970937453210354,
0.009092869237065315,
-0.017180420458316803,
0.020616505295038223,
-0.0022713416256010532,
-0.017030373215675354,
0.02979940176010132,
-0.04747498035430908,
0.04774506390094757,
-0.041293028742074966,
-0.015875009819865227,
-0.0010840920731425285,
0.010908441618084908,
-0.0015032868832349777,
0.034450870007276535,
0.023647461086511612,
-0.022282030433416367,
0.00492155272513628,
-0.007869983091950417,
-0.009993152692914009,
-0.0231523048132658,
0.04801515117287636,
0.04087289795279503,
-0.02756369672715664,
-0.04210328310728073,
-0.0680614784359932,
0.009978148154914379,
0.02238706313073635,
-0.035861317068338394,
-0.019266078248620033,
0.007168511860072613,
-0.04963565990328789,
-0.014156967401504517,
0.056837935000658035,
0.01889096014201641,
-0.02250710129737854,
-0.02324233390390873,
0.019641198217868805,
-0.0309697724878788,
-0.005540498066693544,
-0.041443075984716415,
0.03796197846531868,
-0.015875009819865227,
0.0005851846653968096,
-0.06758132576942444,
0.0021831889171153307,
0.07538378238677979,
0.012836550362408161,
-0.018260762095451355,
0.01628013700246811,
-0.0508960597217083,
-0.025748124346137047,
-0.004201325587928295,
-0.019146041944622993,
0.024952873587608337,
0.023467404767870903,
0.013946901075541973,
-0.03093976154923439,
-0.0340307392179966,
-0.004280100576579571,
0.04504421353340149,
0.005292919930070639,
0.04366377741098404,
0.0017236688872799277,
-0.017870638519525528,
-0.02876407653093338,
-0.014036929234862328,
-0.03682161867618561,
-0.04180318862199783,
0.008027533069252968,
-0.008102556690573692,
-0.00855269841849804,
0.004283851478248835,
0.02738364040851593,
0.058068323880434036,
0.014989729970693588,
0.01441204734146595,
0.035711269825696945,
-0.014472066424787045,
-0.006590829696506262,
0.0022244518622756004,
0.02514793537557125,
0.021306723356246948,
0.042973559349775314,
-0.007307305466383696,
0.019371112808585167,
0.020121349021792412,
-0.05353689193725586,
0.03667157143354416,
-0.013219171203672886,
0.010278242640197277,
-0.02606322430074215,
0.024667782709002495,
-0.05464724451303482,
0.0007999399094842374,
-0.034480880945920944,
-0.018875956535339355,
-0.02649836055934429,
-0.012506445869803429,
-0.009895622730255127,
0.0029803153593093157,
-0.022116977721452713,
0.03490101173520088,
0.01622011885046959,
0.0616394504904747,
-0.002518919762223959,
0.021786874160170555,
0.034600917249917984,
0.002940927864983678,
0.01692534051835537,
0.04885541647672653,
0.02538800984621048,
-0.035771287977695465,
-0.001301660668104887,
0.01698535867035389,
0.05491732805967331,
0.022252021357417107,
0.0034848495852202177,
0.0007169449818320572,
-0.016025057062506676,
0.007847475819289684,
-0.005442967638373375,
0.006815900560468435,
0.019581178203225136,
-0.02106664702296257,
-0.03631145879626274,
-0.06085920333862305,
-0.08294617384672165,
-0.006001893896609545,
-0.04264345392584801,
0.0025226708967238665,
0.011981280520558357,
0.03376065194606781,
0.035891324281692505,
0.009437978267669678,
0.015304828993976116,
0.01516228448599577,
-0.00017032718460541219,
-0.02526797354221344,
0.01376684382557869,
-0.013069123961031437,
-0.021726856008172035,
0.0148696918040514,
0.003998761530965567,
-0.01551489531993866,
-0.021726856008172035,
-0.01332420390099287,
-0.027143564075231552,
-0.058368418365716934,
-0.0018108838703483343,
0.06313992291688919,
-0.010990967974066734,
0.009715565480291843,
-0.048585329204797745,
0.016490202397108078,
0.00006470791413448751,
0.014449559152126312,
-0.002031265990808606,
-0.0034285818692296743,
-0.01533483900129795,
0.024457717314362526,
0.002194442320615053,
-0.0004970318404957652,
0.028689052909612656,
-0.026378322392702103,
0.04486415535211563,
-0.038922280073165894,
-0.007824969477951527,
0.02835894748568535,
0.032800350338220596,
-0.0006944378837943077,
-0.007599898148328066,
0.0524265430867672,
0.0005472039338201284,
0.014937212690711021,
-0.04786510393023491,
-0.0010559582151472569,
0.014667128212749958,
-0.014239492826163769,
-0.013541772961616516,
-0.009422972798347473,
0.018200742080807686,
0.026273289695382118,
-0.0037924465723335743,
-0.021576808765530586,
-0.0009598340839147568,
-0.0048352754674851894,
-0.0011750583071261644,
0.013661811128258705,
-0.003094726474955678,
0.004872787743806839,
0.007997523061931133,
-0.03817204385995865,
0.04531429708003998,
-0.019086021929979324,
-0.03898230195045471,
0.015319833531975746,
0.0052816662937402725,
0.0034660936798900366,
-0.04339369386434555,
0.001612071180716157,
-0.013339209370315075,
-0.08918814361095428,
0.052576590329408646,
0.0112685551866889,
0.04816519841551781,
-0.014419550076127052,
0.0641002282500267,
-0.011748706921935081,
-0.015237308107316494,
0.0038562167901545763,
-0.037301771342754364,
0.013879379257559776,
-0.014262000098824501,
-0.00546547444537282,
0.04219331219792366,
0.0034267061855643988,
0.01665525510907173,
-0.04810518026351929,
-0.008170077577233315,
0.0007952509331516922,
0.00026774071739055216,
-0.056837935000658035,
0.039852574467659,
-0.020901594310998917,
0.004471410997211933,
0.020466458052396774,
0.012806541286408901,
0.028313934803009033,
0.013084128499031067,
0.005739310756325722,
-0.03811202570796013,
-0.009955640882253647,
0.00384496315382421,
0.020751547068357468,
0.052816666662693024,
0.0009612407884560525,
0.055367469787597656,
-0.015214800834655762,
-0.03811202570796013,
0.05902862548828125,
-0.012086313217878342,
-0.017330467700958252,
-0.012281375005841255,
-0.025808142498135567,
-0.0460045151412487,
0.04207327589392662,
-0.006733374670147896,
0.007524874527007341,
0.01883094199001789,
-0.05470726266503334,
-0.03514108806848526,
0.01237140316516161,
0.009880617260932922,
-0.03337052837014198,
0.011553645133972168,
-0.020001310855150223,
0.015169786289334297,
0.022807195782661438,
0.005079102702438831,
0.05755816027522087,
-0.02885410375893116,
-0.0008163513266481459,
-0.011801223270595074,
-0.0818658322095871,
-0.007877485826611519,
-0.06572073698043823,
0.03658154234290123,
-0.043993882834911346,
-0.054167091846466064,
-0.032980404794216156,
-0.003859967924654484,
0.010848423466086388,
0.019881272688508034,
0.02100662887096405,
-0.017405491322278976,
0.017330467700958252,
0.0041000437922775745,
-0.003618016606196761,
0.010563332587480545,
-0.015829995274543762,
-0.009452982805669308,
0.022672154009342194,
0.005371694918721914,
-0.012056304141879082,
0.004486415535211563,
-0.009332944639027119,
-0.029919439926743507,
-0.01803569123148918,
-0.05752815306186676,
0.0024889102205634117,
-0.018290771171450615,
0.00868023931980133,
0.01695534959435463,
-0.015327336266636848,
-0.008222594857215881,
0.0026295797433704138,
0.004779007751494646,
0.0023988818284124136,
0.03910233825445175,
-0.026963507756590843,
-0.03105979971587658,
0.031539950519800186,
-0.037271760404109955,
0.019416125491261482,
-0.027683734893798828,
-0.01821574755012989,
0.004422645550221205,
-0.019281083717942238,
0.03406074643135071,
-0.045674413442611694,
0.26624399423599243,
0.0561177060008049,
0.04519426077604294,
-0.02799883484840393,
-0.03196008503437042,
0.059658825397491455,
0.03505105897784233,
-0.04459407180547714,
0.004310110118240118,
-0.02183188870549202,
0.049875736236572266,
0.021516788750886917,
-0.002083782572299242,
0.012964090332388878,
-0.02036142535507679,
0.036101389676332474,
-0.03931240364909172,
-0.016940345987677574,
-0.017315464094281197,
-0.027158569544553757,
-0.017375482246279716,
-0.014209483750164509,
-0.012146332301199436,
-0.01833578571677208,
-0.0013513638405129313,
0.00018662138609215617,
0.05095607787370682,
-0.008072546683251858,
0.0056867944076657295,
-0.0196261927485466,
-0.03032456897199154,
0.026078227907419205,
0.004591448698192835,
-0.06596080958843231,
0.010630854405462742,
-0.0012491440866142511,
0.021576808765530586,
-0.037241749465465546,
0.04684478044509888,
-0.00022225762950256467,
-0.022372059524059296,
0.04045276343822479,
-0.06350003927946091,
-0.021516788750886917,
0.020121349021792412,
0.0030009469483047724,
-0.007055976428091526,
-0.008432661183178425,
0.02262713946402073,
-0.042763493955135345,
0.05782824754714966,
-0.014682132750749588,
0.018230753019452095,
-0.04828523471951485,
-0.010068177245557308,
-0.007892490364611149,
0.04618457332253456,
-0.016520213335752487,
-0.008185083046555519,
-0.0015886262990534306,
0.007318559102714062,
-0.025342997163534164,
0.013931895606219769,
0.05737810581922531,
-0.007442348171025515,
0.04882540553808212,
0.0030572146642953157,
-0.008777769282460213,
-0.03682161867618561,
-0.014149464666843414,
-0.03847213834524155,
-0.0355612188577652,
-0.0019196681678295135,
-0.003689289093017578,
0.06878170371055603,
-0.027683734893798828,
0.010360768996179104,
0.06542064249515533,
0.012363901361823082,
0.0407828688621521,
-0.026963507756590843,
-0.06007895618677139,
-0.05893859639763832,
0.026303298771381378,
0.04648466780781746,
0.006594580598175526,
-0.008882802911102772,
0.012904071249067783,
-0.022312039509415627,
0.006058161612600088,
-0.013931895606219769,
-0.014442057348787785,
0.02327234297990799,
0.004291354212909937,
-0.029169203713536263
] |
1213_2 | Names of dogs
Notes:
Names of dogs were verified to correspond to the list given in Ovid's text where the names were already transliterated.
? = Seven listed names of dogs in Hyginus' Fabulae, was probably misread or misinterpreted by later authors because it does not correspond to the exact numbers and names given by Ovid:
Arcas signifies Arcadia, place of origin of three dogs namely Pamphagos, Dorceus and Oribasus
Cyprius means Cyprus, where the dogs Lysisca and Harpalos originated
Gnosius can be read as Knossus in Crete, which signify that Ichnobates was a Knossian breed of dog
Echnobas, Elion, Aura and Therodanapis were probably place names or adjectives defining the characteristics of dogs
The "bed of Actaeon"
In the second century AD, the traveller Pausanias was shown a spring on the road in Attica leading to Plataea from Eleutherae, just beyond Megara "and a little farther on a rock. It is called the bed of Actaeon, for it is said that he slept thereon when weary with hunting and that into this spring he looked while Artemis was bathing in it."
Parallels in Akkadian and Ugarit poems
In the standard version of the Epic of Gilgamesh (tablet vi) there is a parallel, in the series of examples Gilgamesh gives Ishtar of her mistreatment of her serial lovers:
You loved the herdsman, shepherd and chief shepherd Who was always heaping up the glowing ashes for you, And cooked ewe-lambs for you every day. But you hit him and turned him into a wolf, His own herd-boys hunt him down
And his dogs tear at his haunches. Actaeon, torn apart by dogs incited by Artemis, finds another Near Eastern parallel in the Ugaritic hero Aqht, torn apart by eagles incited by Anath who wanted his hunting bow. | [
0.045327916741371155,
-0.014082750305533409,
0.07373261451721191,
-0.04425152763724327,
-0.031424567103385925,
0.009470724500715733,
0.007706643082201481,
0.03160396218299866,
0.056958895176649094,
0.017536163330078125,
0.02753760665655136,
-0.006742378231137991,
-0.028569146990776062,
0.012841913849115372,
-0.024697137996554375,
0.00431302934885025,
-0.03208236023783684,
-0.02613232284784317,
-0.0587528757750988,
-0.024816736578941345,
0.01324555929750204,
0.03988617658615112,
-0.066616490483284,
0.01092833373695612,
0.02387489564716816,
0.0324411541223526,
0.005396892782300711,
-0.01891154795885086,
0.033906240016222,
0.015592684037983418,
0.016938170418143272,
0.05073976144194603,
0.07002505660057068,
0.006495705805718899,
0.021587571129202843,
0.0026592030189931393,
0.007796342018991709,
-0.03318864852190018,
-0.026222020387649536,
-0.07361301779747009,
0.03181326016783714,
-0.05008196830749512,
0.0015818800311535597,
-0.0157870315015316,
-0.007516032550483942,
0.059829264879226685,
-0.013738904148340225,
-0.020899876952171326,
-0.04051407054066658,
-0.04362363740801811,
-0.009395974688231945,
-0.013851027935743332,
0.02943623624742031,
-0.018223855644464493,
-0.013746378943324089,
-0.05331113189458847,
0.004055144265294075,
-0.0072132982313632965,
0.030407976359128952,
-0.01196734793484211,
0.001530490000732243,
-0.00630509527400136,
-0.011309554800391197,
-0.020765328779816628,
-0.05366992950439453,
0.0019341356819495559,
-0.000493811909109354,
0.0020257034339010715,
0.03982637822628021,
0.008282211609184742,
0.014680744148790836,
0.04592591151595116,
0.012692415155470371,
-0.04652390629053116,
-0.05145735293626785,
-0.051188256591558456,
-0.004346666391938925,
-0.016728872433304787,
0.03187306225299835,
0.017909908667206764,
0.024069244042038918,
0.024158943444490433,
0.0011474002385511994,
0.0052324444986879826,
-0.02815055102109909,
-0.014508821070194244,
0.005509016569703817,
0.014306997880339622,
0.00997154414653778,
0.02522038109600544,
0.031364765018224716,
0.040005773305892944,
0.037673600018024445,
0.00423828000202775,
0.010554587468504906,
0.014665793627500534,
0.02417389303445816,
0.04493922367691994,
-0.013903352431952953,
0.007706643082201481,
0.011683301068842411,
0.03958717733621597,
-0.009784670546650887,
-0.009306276217103004,
-0.01487509161233902,
0.007594519294798374,
-0.022544359788298607,
0.022723758593201637,
0.01879194937646389,
-0.019389944151043892,
0.024951284751296043,
0.0033282083459198475,
0.008297162130475044,
-0.013514656573534012,
0.04897568002343178,
0.005602452903985977,
-0.10022373497486115,
0.002961937338113785,
-0.058184780180454254,
-0.014762967824935913,
-0.00693298876285553,
0.03584972023963928,
-0.019509542733430862,
0.017730511724948883,
-0.025369880720973015,
-0.038480889052152634,
0.00006353682692861184,
-0.0008675579447299242,
-0.07576579600572586,
0.028927942737936974,
-0.014306997880339622,
-0.012669989839196205,
-0.006249033380299807,
-0.006529342848807573,
-0.00015673974121455103,
-0.010135992430150509,
0.004720412194728851,
0.011279654689133167,
0.01116753090173006,
-0.05594230443239212,
-0.007015212904661894,
0.0038720087613910437,
-0.046613603830337524,
0.05148725211620331,
0.01774546131491661,
-0.001426775474101305,
0.02686486393213272,
0.0558227077126503,
-0.048497285693883896,
0.0290774405002594,
-0.048258088529109955,
0.010023868642747402,
0.021333422511816025,
0.008102813735604286,
-0.04033467173576355,
-0.00546416686847806,
0.013140910305082798,
-0.008768081665039062,
-0.022559309378266335,
0.02142312191426754,
-0.025564227253198624,
-0.01478539314121008,
0.018089307472109795,
0.025070883333683014,
0.01701291836798191,
0.06260993331670761,
-0.014314472675323486,
-0.021572619676589966,
0.024921385571360588,
-0.01940489374101162,
0.01995803788304329,
0.05504531413316727,
-0.039766576141119,
0.009777195751667023,
0.02735820971429348,
0.047091998159885406,
-0.03659721091389656,
-0.019629141315817833,
-0.024532688781619072,
-0.02969038486480713,
0.014082750305533409,
0.02387489564716816,
0.0013931383145973086,
0.008222412317991257,
0.015002164989709854,
-0.0009586585802026093,
-0.006443381309509277,
-0.017969708889722824,
-0.03441453352570534,
-0.025908075273036957,
0.04105226323008537,
0.04386283457279205,
0.03872008994221687,
-0.004675562959164381,
0.010457414202392101,
0.002728346036747098,
-0.04846738278865814,
-0.02601272240281105,
0.04308544099330902,
-0.015039539895951748,
-0.012513017281889915,
0.05062016099691391,
-0.00630509527400136,
-0.003255327930673957,
0.017640812322497368,
-0.019673990085721016,
-0.010771360248327255,
0.01141420379281044,
-0.005408104974776506,
0.02888309210538864,
0.020182285457849503,
0.0015874862438067794,
-0.019419843330979347,
0.01774546131491661,
0.020062686875462532,
-0.013223133981227875,
-0.02545958012342453,
0.0211839247494936,
-0.04200905188918114,
-0.0004337789723649621,
0.006828339770436287,
0.025250282138586044,
-0.023979544639587402,
0.011952397413551807,
-0.018029509112238884,
-0.040244970470666885,
0.043055541813373566,
0.049603573977947235,
-0.006024785805493593,
0.006562980357557535,
-0.017416564747691154,
0.0008871796308085322,
0.018463052809238434,
-0.0030123929027467966,
-0.017461413517594337,
-0.00988931953907013,
0.044042233377695084,
0.04224824905395508,
-0.042756546288728714,
0.01334273349493742,
0.0029058754444122314,
0.006738640833646059,
0.05513501539826393,
-0.015166613273322582,
-0.009709921665489674,
0.0086260586977005,
-0.021258674561977386,
0.028733594343066216,
0.038480889052152634,
0.04248744994401932,
-0.012804538942873478,
0.05612170323729515,
-0.01003881823271513,
-0.018717201426625252,
-0.07702158391475677,
-0.008611108176410198,
0.008454134687781334,
-0.03578991815447807,
0.011145106516778469,
-0.0452980175614357,
-0.015226413495838642,
-0.035162024199962616,
0.06595870107412338,
-0.016818571835756302,
0.02197626605629921,
0.04039447009563446,
0.024502789601683617,
0.03776329755783081,
-0.00726936012506485,
-0.04093266278505325,
-0.027283459901809692,
-0.03139466792345047,
-0.07588539272546768,
-0.0035655370447784662,
0.00009285252599511296,
-0.016997968778014183,
0.05372972786426544,
-0.037434402853250504,
0.005191332194954157,
-0.01934509351849556,
0.008342010900378227,
0.05797548219561577,
-0.05417822301387787,
-0.014733068645000458,
-0.00046601457870565355,
0.045208320021629333,
-0.0023134879302233458,
0.0362384133040905,
-0.02901764214038849,
-0.006357419770210981,
-0.006200446747243404,
-0.020421482622623444,
-0.05686919391155243,
-0.028554195538163185,
0.02840469777584076,
0.03608891740441322,
0.02369549870491028,
-0.008603633381426334,
0.03587961941957474,
-0.0877256691455841,
-0.003632811363786459,
-0.0801311507821083,
-0.008753132075071335,
0.028972791507840157,
-0.06219133734703064,
0.005714576691389084,
0.013088585808873177,
0.004096256569027901,
-0.05067995935678482,
-0.00024083259631879628,
0.013656679540872574,
0.010031343437731266,
-0.022977905347943306,
0.04670330509543419,
-0.030946170911192894,
0.03300924971699715,
-0.00018161721527576447,
0.03160396218299866,
-0.024637337774038315,
-0.05220484361052513,
0.0052212318405508995,
-0.0028404698241502047,
0.058184780180454254,
-0.020735429599881172,
-0.00026535967481322587,
-0.004593338817358017,
0.02375529706478119,
-0.04353393614292145,
0.03991607576608658,
0.001592158107087016,
-0.010263065807521343,
0.02919703908264637,
-0.010733986273407936,
-0.00011002148676197976,
0.021139075979590416,
0.0019416105933487415,
-0.029391387477517128,
-0.04168015718460083,
0.0032216906547546387,
0.004929710179567337,
0.009829520247876644,
-0.01092833373695612,
-0.016549473628401756,
-0.006144384853541851,
-0.05642069876194,
-0.023276902735233307,
0.0036159928422421217,
-0.0050642588175833225,
-0.011444102972745895,
0.007863616570830345,
-0.03501252830028534,
0.03190296143293381,
-0.003722510300576687,
0.02338155172765255,
0.037733398377895355,
0.029211988672614098,
-0.0003426783950999379,
-0.0014389222487807274,
0.024263592436909676,
-0.00161364849191159,
-0.0000034345216590736527,
0.027896402403712273,
0.042876143008470535,
0.005617402959614992,
-0.0016715790843591094,
-0.02276860736310482,
-0.019075997173786163,
-0.00015989321400411427,
-0.007826241664588451,
-0.025354931131005287,
0.04933447390794754,
0.009134353138506413,
-0.0015669302083551884,
-0.028001051396131516,
-0.024323390796780586,
0.01719231717288494,
0.018149107694625854,
-0.01811920665204525,
0.05911166965961456,
-0.021931417286396027,
0.0017977183451876044,
0.03103587031364441,
-0.007400171365588903,
0.006600354798138142,
-0.015278737060725689,
0.028359849005937576,
0.006667628884315491,
0.022320112213492393,
-0.010644286870956421,
-0.03677660971879959,
-0.0025059671606868505,
0.025878174230456352,
-0.0026947087608277798,
-0.026580817997455597,
-0.01215422060340643,
-0.028255200013518333,
0.026715366169810295,
0.02429349161684513,
0.021497871726751328,
-0.03384644165635109,
-0.021766968071460724,
-0.004888597875833511,
0.009014754556119442,
0.004922234918922186,
0.011399254202842712,
0.0022200513631105423,
-0.03928818181157112,
0.005131532903760672,
0.03220195695757866,
-0.03776329755783081,
0.011466528289020061,
0.0006951676332391798,
-0.05124805495142937,
0.0006848896155133843,
0.019300244748592377,
0.03214215859770775,
-0.07989194989204407,
-0.025175532326102257,
0.01702786795794964,
0.00462323846295476,
0.04081306606531143,
-0.017102617770433426,
0.02043643221259117,
0.027761854231357574,
0.018747100606560707,
-0.019479643553495407,
0.0021714644972234964,
-0.07301502674818039,
0.018896598368883133,
0.05136765539646149,
-0.0287784431129694,
0.012363518588244915,
-0.027462858706712723,
0.026341618970036507,
-0.005467904265969992,
0.007960790768265724,
0.027432957664132118,
-0.04810858890414238,
0.002461117459461093,
-0.01596643030643463,
0.06201194226741791,
0.03432483598589897,
-0.011279654689133167,
0.012311194092035294,
-0.0022219200618565083,
0.0023919744417071342,
0.012071996927261353,
0.034683629870414734,
-0.024457938969135284,
-0.02209586463868618,
0.04511861875653267,
-0.07301502674818039,
-0.005112845450639725,
-0.035969316959381104,
0.054865915328264236,
-0.008461610414087772,
-0.04224824905395508,
0.0037860472220927477,
0.01456862036138773,
-0.009934169240295887,
0.02142312191426754,
0.007433808408677578,
0.04051407054066658,
-0.037912797182798386,
0.0078935157507658,
0.02882329374551773,
-0.01885174959897995,
0.02870369516313076,
-0.02251446060836315,
-0.024143993854522705,
0.02791135385632515,
-0.032172057777643204,
0.0061668092384934425,
0.018642451614141464,
0.0002310217678314075,
-0.05390912666916847,
0.044341228902339935,
-0.0028049638494849205,
0.009537998586893082,
0.024009443819522858,
-0.001363238669000566,
0.020406533032655716,
-0.002324700355529785,
-0.02620707079768181,
-0.016474725678563118,
-0.01707271859049797,
0.02239486202597618,
-0.0298099834471941,
-0.035281624644994736,
0.010771360248327255,
0.03169366344809532,
-0.025937974452972412,
-0.020855028182268143,
-0.008947479538619518,
0.01776041090488434,
-0.04455052688717842,
-0.016923220828175545,
-0.012475642375648022,
0.06398531794548035,
0.008185038343071938,
0.054865915328264236,
-0.029585735872387886,
0.00014856403868179768,
0.0015267524868249893,
0.03507232666015625,
0.013424957171082497,
-0.011563701555132866,
0.02039158344268799,
-0.013178285211324692,
0.050530463457107544,
0.03725500404834747,
0.0290774405002594,
0.05062016099691391,
0.02759740687906742,
0.011062881909310818,
-0.0019472168060019612,
0.034294936805963516,
-0.01891154795885086,
-0.044221628457307816,
0.027986101806163788,
0.02057098038494587,
-0.06577929854393005,
0.012550391256809235,
-0.002393843373283744,
0.016370076686143875,
-0.012311194092035294,
0.0118402736261487,
-0.015233888290822506,
-0.06398531794548035,
-0.034175336360931396,
-0.0036907419562339783,
-0.050410863012075424,
-0.07636378705501556,
-0.012124321423470974,
0.06470291316509247,
-0.009508098475635052,
-0.005703364498913288,
0.028075801208615303,
-0.00726936012506485,
-0.020720480009913445,
-0.029720284044742584,
0.020974626764655113,
0.044401027262210846,
-0.01572723314166069,
-0.024203792214393616,
0.018627502024173737,
0.05459681898355484,
0.014852667227387428,
0.0019472168060019612,
0.015263787470757961,
-0.012356043793261051,
0.06051695719361305,
-0.018208906054496765,
-0.01849295385181904,
-0.012587766163051128,
-0.029466137290000916,
-0.012647565454244614,
-0.029854832217097282,
-0.021572619676589966,
0.016115928068757057,
0.03525172546505928,
0.011705725453794003,
-0.06386572122573853,
-0.0593508705496788,
-0.03851079195737839,
-0.02306760475039482,
-0.00040364571032114327,
0.023426400497555733,
0.03578991815447807,
0.04481962323188782,
-0.032770052552223206,
-0.011122682131826878,
0.041949253529310226,
0.03991607576608658,
-0.007149761542677879,
-0.035102225840091705,
-0.06847026944160461,
-0.029780082404613495,
-0.01982348971068859,
0.03151426464319229,
-0.04215855151414871,
-0.03160396218299866,
-0.02399449422955513,
0.03776329755783081,
0.05208524689078331,
0.019300244748592377,
-0.005333355627954006,
0.07032404839992523,
0.004242017399519682,
-0.0056585147976875305,
-0.044102031737565994,
-0.006675104144960642,
0.020481282845139503,
0.007501082494854927,
-0.016011279076337814,
-0.009657597169280052,
-0.06189234182238579,
0.019718840718269348,
0.013873452320694923,
-0.017147468402981758,
0.0031133044976741076,
0.041411060839891434,
0.02649111859500408,
-0.03238135576248169,
0.025369880720973015,
-0.02318720333278179,
-0.051158357411623,
-0.03501252830028534,
0.0324411541223526,
0.026476169005036354,
-0.04598570987582207,
0.030153829604387283,
-0.05226464569568634,
-0.01275968924164772,
-0.03360724076628685,
-0.020242083817720413,
-0.029241889715194702,
-0.00431302934885025,
0.016235526651144028,
0.03567032143473625,
-0.014008001424372196,
0.002012622309848666,
-0.010606911964714527,
-0.0035356373991817236,
-0.01616077870130539,
-0.020301884040236473,
0.0596199668943882,
-0.03698590770363808,
-0.03115546889603138,
-0.01897134818136692,
0.02246961183845997,
0.011705725453794003,
-0.014987215399742126,
0.009261426515877247,
0.01572723314166069,
0.00739269657060504,
0.0037281166296452284,
-0.02533997967839241,
-0.004264442250132561,
0.04368343576788902,
0.059829264879226685,
-0.012886762619018555,
-0.014366797171533108,
-0.06715468317270279,
0.013066161423921585,
-0.007609468884766102,
-0.011331979185342789,
-0.01744646392762661,
0.015652483329176903,
-0.019001247361302376,
0.015951480716466904,
0.06482250988483429,
0.01811920665204525,
-0.00037468038499355316,
-0.024502789601683617,
0.049065377563238144,
-0.0298099834471941,
-0.027462858706712723,
-0.03262055292725563,
0.0590219721198082,
-0.03336804360151291,
-0.001092272810637951,
-0.04727139696478844,
-0.0047988989390432835,
0.04757039248943329,
-0.000010314513929188251,
-0.015054489485919476,
0.006615304853767157,
-0.02296295575797558,
-0.017700612545013428,
-0.004888597875833511,
-0.016145829111337662,
0.023904794827103615,
0.015323586761951447,
-0.003735591424629092,
-0.015136714093387127,
-0.03103587031364441,
0.022051015868782997,
0.01873215101659298,
-0.0024218743201345205,
0.012034622021019459,
0.018642451614141464,
0.023157304152846336,
-0.053580231964588165,
-0.005953774321824312,
-0.010233165696263313,
-0.022918106988072395,
0.026655565947294235,
-0.01671392284333706,
-0.019315194338560104,
-0.010434988886117935,
0.008715757168829441,
0.07409141212701797,
0.018104257062077522,
0.027148911729454994,
0.012991411611437798,
-0.0017491313628852367,
0.0062677208334207535,
0.0056734648533165455,
-0.003173103788867593,
0.0013595011550933123,
0.05274304002523422,
-0.010816209949553013,
0.015772081911563873,
0.03238135576248169,
-0.0590219721198082,
0.04499902203679085,
-0.00306845479644835,
0.0368364080786705,
-0.0368364080786705,
0.05274304002523422,
-0.05319153517484665,
0.03519192710518837,
-0.027896402403712273,
-0.050410863012075424,
-0.022125763818621635,
0.007900990545749664,
-0.024756936356425285,
0.029346538707613945,
-0.04156055673956871,
0.06559990346431732,
0.038959287106990814,
0.018762050196528435,
-0.0302435290068388,
0.014187399297952652,
0.007661793380975723,
-0.025549277663230896,
0.04224824905395508,
0.04505882039666176,
0.02771700546145439,
-0.03689620643854141,
0.0033020460978150368,
0.02693961374461651,
0.04084296524524689,
-0.0011137631954625249,
-0.00433171633630991,
-0.0198832880705595,
-0.0006582601927220821,
-0.012550391256809235,
-0.035461023449897766,
-0.010292965918779373,
0.010150942020118237,
-0.02369549870491028,
-0.03725500404834747,
-0.05540411174297333,
-0.03608891740441322,
0.03354744240641594,
-0.055852606892585754,
-0.013993050903081894,
0.006077110301703215,
0.027328308671712875,
0.00045410142047330737,
0.018702251836657524,
-0.032650452107191086,
0.010651761665940285,
0.016624223440885544,
0.01689331978559494,
0.0011203037574887276,
0.03465373069047928,
-0.022006165236234665,
0.01616077870130539,
-0.05618150159716606,
-0.01379870343953371,
-0.002036915859207511,
-0.03214215859770775,
0.006731166038662195,
-0.01788000948727131,
0.04057386890053749,
0.005994886159896851,
-0.00022424761846195906,
0.015413286164402962,
-0.012819488532841206,
0.017491314560174942,
-0.02771700546145439,
0.00017379190830979496,
0.0025956660974770784,
-0.008790506049990654,
-0.03324844688177109,
-0.006925513967871666,
-0.03178336098790169,
-0.030273428186774254,
0.011361879296600819,
-0.004843748640269041,
0.04505882039666176,
-0.014800342731177807,
-0.024248642846941948,
0.05014176666736603,
0.08443669974803925,
-0.03432483598589897,
0.011085307225584984,
0.054626718163490295,
-0.008147663436830044,
-0.008244837634265423,
-0.056271202862262726,
-0.015039539895951748,
-0.01805940829217434,
-0.0011044194689020514,
-0.005097895860671997,
-0.03238135576248169,
0.06763307750225067,
0.02290315553545952,
-0.007441283203661442,
-0.029271788895130157,
0.036567311733961105,
0.011145106516778469,
-0.0058453879319131374,
0.00428312923759222,
-0.034115538001060486,
-0.01873215101659298,
0.04266684502363205,
-0.05067995935678482,
0.013806178234517574,
0.01657937280833721,
-0.048497285693883896,
0.027462858706712723,
-0.02607252262532711,
0.0018939579604193568,
-0.021617470309138298,
0.014605994336307049,
-0.02290315553545952,
-0.04885607957839966,
0.02711901068687439,
0.021273624151945114,
0.030706973746418953,
-0.01346233207732439,
0.06045715510845184,
-0.01804445870220661,
-0.0028722381684929132,
0.010681661777198315,
-0.03543112426996231,
0.03465373069047928,
-0.0289428923279047,
0.0008764344383962452,
0.018283655866980553,
0.03874998912215233,
0.029211988672614098,
-0.0654803067445755,
-0.016908269375562668,
0.016429875046014786,
-0.006144384853541851,
-0.07755977660417557,
0.058663174510002136,
-0.00005568231790675782,
0.005651040002703667,
0.008237362839281559,
-0.017775360494852066,
0.001990197692066431,
0.02644626796245575,
-0.01572723314166069,
-0.04981287196278572,
-0.022110814228653908,
0.028314998373389244,
0.03342784568667412,
0.03444443270564079,
0.01922549493610859,
0.03782309591770172,
0.00645459396764636,
0.0015669302083551884,
0.011675826273858547,
-0.022484561428427696,
-0.02007763646543026,
-0.029466137290000916,
0.008805456571280956,
-0.06027776002883911,
0.01976368948817253,
-0.012251394800841808,
0.03991607576608658,
0.031364765018224716,
-0.04739099740982056,
-0.005011934321373701,
0.019987937062978745,
-0.01025559101253748,
-0.05283273756504059,
-0.0050679962150752544,
-0.047032199800014496,
0.01343243196606636,
0.03854069113731384,
-0.003595436690375209,
0.008775556460022926,
0.013103535398840904,
0.032949451357126236,
-0.012415843084454536,
-0.07630398869514465,
-0.0000091976562544005,
-0.03647761046886444,
0.023785196244716644,
-0.024278542026877403,
-0.05869307741522789,
-0.012483117170631886,
-0.003589830594137311,
-0.0036664484068751335,
0.009493148885667324,
0.04640430584549904,
0.0032497216016054153,
0.012251394800841808,
0.03593941777944565,
0.011616026051342487,
0.029421286657452583,
-0.03208236023783684,
-0.018403254449367523,
0.01744646392762661,
-0.0032852275762706995,
-0.03054252453148365,
0.005456692073494196,
0.006357419770210981,
-0.03315874561667442,
0.0034982627257704735,
-0.11738615483045578,
0.030258478596806526,
0.012804538942873478,
0.019599242135882378,
0.046434205025434494,
-0.028554195538163185,
-0.04631460830569267,
-0.010390139184892178,
0.016803620383143425,
0.061473745852708817,
-0.010479838587343693,
-0.010883484035730362,
-0.07259643077850342,
-0.000025300854758825153,
-0.02057098038494587,
-0.016863420605659485,
-0.02650606818497181,
-0.005430529825389385,
-0.0012015934335067868,
-0.06805167347192764,
0.05097895860671997,
-0.04490932077169418,
0.26335638761520386,
0.017521213740110397,
0.053520429879426956,
-0.011369354091584682,
-0.0028909253887832165,
0.05803528428077698,
0.024637337774038315,
-0.006633991841226816,
0.03689620643854141,
-0.04284624382853508,
0.036567311733961105,
-0.02308255434036255,
-0.014314472675323486,
0.02729840949177742,
0.0077514927834272385,
0.045746512711048126,
-0.040484167635440826,
-0.028673794120550156,
-0.02581837587058544,
-0.03824169188737869,
-0.009687497280538082,
-0.030557474121451378,
0.018283655866980553,
-0.008244837634265423,
-0.016654122620821,
0.005550128407776356,
0.036627110093832016,
-0.013148385100066662,
-0.027253560721874237,
0.0038757463917136192,
-0.024517739191651344,
-0.008409285917878151,
-0.00032913009636104107,
-0.02039158344268799,
0.015757132321596146,
-0.013537080958485603,
0.026087472215294838,
-0.03462383151054382,
0.0030123929027467966,
-0.025848275050520897,
-0.011406728997826576,
0.028060851618647575,
0.005217494443058968,
0.00006803345604566857,
0.018776999786496162,
0.024457938969135284,
-0.04365353658795357,
-0.020167335867881775,
0.0467631034553051,
-0.02233506180346012,
0.02931663766503334,
-0.023097503930330276,
0.05809508264064789,
-0.06936725974082947,
-0.009403450414538383,
0.028808344155550003,
0.03794269636273384,
-0.010651761665940285,
-0.0438329353928566,
-0.0015398336108773947,
0.016624223440885544,
-0.03934798017144203,
0.013746378943324089,
0.049723170697689056,
-0.0010053768055513501,
0.067812480032444,
0.010868534445762634,
-0.01435184758156538,
-0.03220195695757866,
-0.05588250607252121,
-0.028793394565582275,
-0.03827159106731415,
0.004533539060503244,
-0.002767589408904314,
0.04329473897814751,
-0.002750770654529333,
0.023426400497555733,
0.01720726676285267,
0.028912993147969246,
0.013993050903081894,
-0.03336804360151291,
-0.06362652033567429,
-0.0801311507821083,
0.006544292904436588,
0.039437681436538696,
0.016624223440885544,
0.008581208996474743,
0.03288964927196503,
0.03250095248222351,
0.027687106281518936,
0.01480781752616167,
-0.0002279850741615519,
0.02252941019833088,
0.028898043558001518,
-0.008641008287668228
] |
1213_3 | The virginal Artemis of classical times is not directly comparable to Ishtar of the many lovers, but the mytheme of Artemis shooting Orion, was linked to her punishment of Actaeon by T.C.W. Stinton;<ref>Stinton "Euripides and the Judgement of Paris" (London, 1965:45 note 14) reprinted in Stinton, Collected Papers on Greek Tragedy (London, 1990:51 note 14).</ref> the Greek context of the mortal's reproach to the amorous goddess is translated to the episode of Anchises and Aphrodite. Daphnis too was a herdsman loved by a goddess and punished by her: see Theocritus' First Idyll.
Symbolism regarding Actaeon
In Greek Mythology, Actaeon is widely thought to symbolize ritual human sacrifice in attempt to please a God or Goddess: the dogs symbolize the sacrificers and Actaeon symbolizes the sacrifice.
Actaeon may symbolize human curiosity or irreverence.
The myth is seen by Jungian psychologist Wolfgang Giegerich as a symbol of spiritual transformation and/or enlightenment.
Actaeon often symbolizes a cuckold, as when he is turned into a stag, he becomes "horned". This is alluded to in Shakespeare's Merry Wives, Robert Burton's Anatomy of Melancholy, and others.Gordon Williams, A Dictionary of Sexual Language and Imagery in Shakespearean and Stuart Literature, 2001, , p. 8-9
Cultural depictions
The two main scenes are Actaeon surprising Artemis/Diana, and his death. In classical art Actaeon is normally shown as fully human, even as his hounds are killing him (sometimes he has small horns), but in Renaissance art he is often given a deer's head with antlers even in the scene with Diana, and by the time he is killed he has at the least this head, and has often completely transformed into the shape of a deer.
Aeschylus and other tragic poets made use of the story, which was a favourite subject in ancient works of art. | [
0.022579925134778023,
-0.01962762139737606,
0.04174764081835747,
-0.042341068387031555,
-0.028410352766513824,
-0.02197166159749031,
-0.019553443416953087,
-0.00214004865847528,
0.02222386747598648,
-0.014761514961719513,
-0.00020375897292979062,
-0.018099546432495117,
0.028024625033140182,
0.008523105643689632,
-0.021407905966043472,
0.02643720433115959,
-0.011898226104676723,
-0.03263852372765541,
-0.07489057630300522,
0.0072286915965378284,
0.018603958189487457,
-0.01221719291061163,
-0.062191225588321686,
-0.026674576103687286,
0.016408275812864304,
0.033825378865003586,
0.03026481345295906,
0.022105183452367783,
0.018663302063941956,
0.030858241021633148,
-0.009190712124109268,
0.0709739550948143,
0.03296491131186485,
-0.016734661534428596,
0.0248794574290514,
-0.019108371809124947,
-0.012068836018443108,
-0.04913581535220146,
0.02674875408411026,
-0.06266596913337708,
0.03412209451198578,
0.004821600392460823,
-0.022149689495563507,
0.009494843892753124,
0.011608929373323917,
0.04204435274004936,
0.02266893908381462,
-0.05311178043484688,
-0.005789629183709621,
-0.03655514866113663,
-0.0012165268417447805,
-0.06005488708615303,
-0.04412135109305382,
-0.020517762750387192,
-0.00781841017305851,
-0.030650541186332703,
0.011727615259587765,
0.0004286124312784523,
0.027653731405735016,
0.020458420738577843,
0.03352866694331169,
-0.05147985368967056,
0.02054743468761444,
-0.03783101588487625,
-0.024256357923150063,
-0.011045173741877079,
0.018945179879665375,
0.01467250008136034,
0.0073473770171403885,
0.01725391112267971,
0.039551958441734314,
0.029389508068561554,
0.03691120445728302,
-0.00036880606785416603,
-0.023128844797611237,
-0.03001260757446289,
-0.04346857964992523,
0.014791185967624187,
0.051301825791597366,
-0.027460867539048195,
0.030680213123559952,
-0.023321708664298058,
-0.04533787816762924,
-0.000932330556679517,
0.005863807629793882,
0.010503671132028103,
-0.030472513288259506,
0.03913655877113342,
-0.008589866571128368,
-0.015532970428466797,
0.04818633198738098,
0.011824047192931175,
0.033320967108011246,
0.031125284731388092,
0.0073881749995052814,
0.04575327783823013,
-0.02099250629544258,
0.01347080897539854,
-0.007317705545574427,
0.007781321182847023,
-0.013478226959705353,
0.016512125730514526,
-0.027624061331152916,
-0.023915138095617294,
-0.056553661823272705,
0.006216155365109444,
0.02694161795079708,
0.040501441806554794,
0.029701057821512222,
-0.03697054833173752,
0.03827608749270439,
-0.0141532514244318,
0.03872115910053253,
0.009984421543776989,
0.02795044519007206,
0.013967804610729218,
-0.08367330580949783,
-0.021852975711226463,
-0.054714035242795944,
-0.002941176062449813,
-0.0007825827924534678,
0.02551739290356636,
-0.002803945913910866,
0.010844891890883446,
0.005466952919960022,
-0.015532970428466797,
0.011430901475250721,
-0.018188560381531715,
-0.06213188171386719,
-0.00495512131601572,
0.0011154586682096124,
0.023989316076040268,
0.010585267096757889,
0.01416808646172285,
-0.01686818338930607,
-0.0013129588915035129,
0.020814476534724236,
-0.0032712703105062246,
0.024419549852609634,
-0.07833246141672134,
-0.04409167915582657,
-0.0001368824450764805,
-0.029448850080370903,
0.07049921154975891,
0.010607520118355751,
-0.017609966918826103,
0.012002076022326946,
0.0379793755710125,
-0.09607594460248947,
0.008426673710346222,
-0.054150279611349106,
-0.0063978927209973335,
-0.0037274679634720087,
-0.0019045320805162191,
-0.02314368076622486,
-0.03694087639451027,
0.011660854332149029,
0.00649803364649415,
0.003953712061047554,
0.004910614341497421,
-0.050352342426776886,
-0.0024052367080003023,
0.0031229134183377028,
0.055574506521224976,
0.020725462585687637,
0.05358652397990227,
-0.02526518516242504,
-0.046168677508831024,
0.017773160710930824,
-0.02573992684483528,
0.004510050639510155,
0.005782211199402809,
-0.041450925171375275,
-0.023440394550561905,
0.01569616235792637,
0.016289591789245605,
-0.03254951164126396,
-0.04688078910112381,
-0.011512497439980507,
-0.0008771603461354971,
0.005882352124899626,
0.008634373545646667,
-0.003469697665423155,
0.045130178332328796,
-0.01513240672647953,
-0.011831465177237988,
-0.021126026287674904,
-0.04293449595570564,
-0.053705208003520966,
0.00117943761870265,
0.014175504446029663,
0.033350639045238495,
0.008938505314290524,
-0.013448555953800678,
0.03326162323355675,
0.05403159558773041,
-0.03162969648838043,
-0.04919515922665596,
0.02987908571958542,
-0.0028336173854768276,
0.0008127178298309445,
0.04584228992462158,
-0.035219933837652206,
-0.00048633257392793894,
0.03251983970403671,
-0.03652547672390938,
0.02124471217393875,
0.03744528815150261,
-0.006753949448466301,
0.061301082372665405,
0.0044395811855793,
-0.018069874495267868,
-0.028039459139108658,
0.05910539999604225,
-0.010815219953656197,
-0.036199092864990234,
-0.03296491131186485,
0.03978933021426201,
-0.04245975241065025,
0.02820265293121338,
0.021511754021048546,
0.02892960049211979,
-0.012528742663562298,
0.05874934419989586,
0.0037348857149481773,
-0.04153994098305702,
0.009828646667301655,
0.016423111781477928,
-0.028796080499887466,
-0.04875008761882782,
0.004710332490503788,
0.02700096182525158,
0.018559452146291733,
-0.023440394550561905,
-0.027549881488084793,
0.027490539476275444,
-0.007169348653405905,
0.026170162484049797,
-0.042845480144023895,
0.009405829012393951,
0.006097469944506884,
0.005967657547444105,
0.06800681352615356,
-0.009747050702571869,
-0.004239299334585667,
0.02415250800549984,
0.03510124981403351,
-0.009821228682994843,
0.06189450994133949,
0.05726577341556549,
-0.0034975146409124136,
0.05495140701532364,
-0.006427564192563295,
-0.04317186772823334,
-0.07750166207551956,
0.013589494861662388,
0.017743488773703575,
-0.016957197338342667,
0.030561527237296104,
-0.07222015410661697,
-0.054179951548576355,
0.011972404085099697,
0.03753430396318436,
-0.02216452546417713,
0.012372967787086964,
0.03219345211982727,
0.04435872286558151,
0.0614791102707386,
-0.043794967234134674,
-0.044685106724500656,
-0.035308949649333954,
-0.021126026287674904,
-0.07038053125143051,
0.04554557800292969,
0.001668088254518807,
-0.03124396875500679,
0.0353979617357254,
-0.04435872286558151,
0.03326162323355675,
-0.017179733142256737,
-0.01599287800490856,
0.021897483617067337,
-0.07233884185552597,
-0.024716265499591827,
0.009539350867271423,
0.016467619687318802,
-0.02624434046447277,
0.03462650626897812,
-0.041866324841976166,
-0.02934500016272068,
-0.00935390405356884,
-0.02412283606827259,
-0.031095612794160843,
-0.03652547672390938,
0.0130405742675066,
0.027238331735134125,
0.0032026551198214293,
-0.04880943149328232,
0.026644904166460037,
-0.05963948741555214,
0.026006970554590225,
-0.03213411197066307,
0.016393441706895828,
0.033380310982465744,
-0.045664262026548386,
0.0053779385052621365,
0.01137897651642561,
0.011549587361514568,
-0.009450336918234825,
-0.05394257977604866,
-0.06100437045097351,
-0.020057857036590576,
0.0007867553504183888,
0.028009789064526558,
-0.0424894243478775,
0.041035525500774384,
0.008426673710346222,
0.03136265650391579,
0.006004746537655592,
-0.03800904378294945,
0.02063644863665104,
-0.055099762976169586,
0.022238703444600105,
-0.030190635472536087,
-0.018915507942438126,
0.028603216633200645,
0.018099546432495117,
-0.062191225588321686,
0.011579258367419243,
0.015725834295153618,
-0.020947998389601707,
0.04450707882642746,
-0.04593130573630333,
0.0062866248190402985,
0.02091832645237446,
0.010155031457543373,
-0.0036162000615149736,
-0.0010496253380551934,
0.00008333486766787246,
0.016437947750091553,
0.016007712110877037,
-0.03186706826090813,
0.00769972475245595,
0.01301090233027935,
-0.0709739550948143,
0.019835321232676506,
0.012669681571424007,
-0.015429120510816574,
-0.026452040299773216,
-0.025784434750676155,
-0.04222238063812256,
-0.001549402717500925,
-0.024582743644714355,
-0.013745269738137722,
0.043735623359680176,
0.028855422511696815,
0.020087528973817825,
0.009442918933928013,
-0.022238703444600105,
-0.026259176433086395,
-0.002731621963903308,
0.024642085656523705,
0.00263889878988266,
-0.012469399720430374,
0.04133224114775658,
-0.05026332661509514,
0.02152658998966217,
-0.011927897110581398,
0.02674875408411026,
0.009487425908446312,
0.04346857964992523,
0.04696980491280556,
0.005997329019010067,
-0.0050255912356078625,
0.0005034863133914769,
0.04076848551630974,
-0.004128031432628632,
-0.024271193891763687,
0.04062012583017349,
-0.04391365125775337,
-0.01536977756768465,
-0.028321338817477226,
0.03453749418258667,
0.0247904434800148,
-0.023855794221162796,
0.022431567311286926,
0.013819447718560696,
0.004951412323862314,
-0.0032990872859954834,
-0.06735404580831528,
0.010384985245764256,
0.0355166494846344,
0.009517096914350986,
-0.008285734802484512,
-0.05011497065424919,
-0.03394406661391258,
0.024330535903573036,
-0.004142867401242256,
0.01286996342241764,
-0.026155326515436172,
0.008493434637784958,
0.004013055004179478,
-0.015429120510816574,
0.0034177727065980434,
-0.024330535903573036,
0.03136265650391579,
-0.03453749418258667,
0.05032267048954964,
0.016853347420692444,
-0.02029522880911827,
-0.02643720433115959,
0.021393069997429848,
-0.00984348263591528,
0.01077813096344471,
0.028825752437114716,
0.013196349143981934,
-0.04305317997932434,
-0.013945551589131355,
0.010896816849708557,
-0.016067055985331535,
0.04112454131245613,
-0.03198575600981712,
0.06011422723531723,
0.02174912579357624,
0.016348933801054955,
0.002518358873203397,
0.010963576845824718,
-0.06498033553361893,
-0.012543578632175922,
0.03605073317885399,
-0.008923669345676899,
0.010214374400675297,
-0.00009753309132065624,
0.0307988990098238,
-0.02795044519007206,
0.00527779757976532,
0.05213262513279915,
-0.02200133353471756,
-0.001631926279515028,
-0.016037384048104286,
0.06044061481952667,
0.019701801240444183,
-0.02895927242934704,
0.005644981283694506,
-0.0023774197325110435,
0.020057857036590576,
0.04364660754799843,
0.019538607448339462,
-0.005162821151316166,
0.012491653673350811,
0.06972775608301163,
-0.04961055889725685,
-0.004302350804209709,
-0.018084710463881493,
0.021378234028816223,
-0.006242117844521999,
-0.032015424221754074,
-0.015903862193226814,
0.034863878041505814,
0.0048067644238471985,
-0.001071878825314343,
0.007428973447531462,
0.01630442589521408,
-0.03608040511608124,
0.014242265373468399,
0.04821600392460823,
0.002807654906064272,
0.013849119655787945,
-0.006650099530816078,
-0.017713816836476326,
0.03631777688860893,
0.0028577253688126802,
-0.014865364879369736,
0.013856537640094757,
-0.0055225868709385395,
-0.04079815745353699,
-0.018277574330568314,
0.029775235801935196,
0.018974851816892624,
0.04059045761823654,
0.0073881749995052814,
0.03216378390789032,
-0.000513685867190361,
-0.017461610957980156,
-0.0112380376085639,
0.024449221789836884,
0.006690897513180971,
-0.061360426247119904,
0.00991024263203144,
-0.017550624907016754,
0.023084338754415512,
-0.011230619624257088,
0.019301237538456917,
-0.017209403216838837,
0.02548772096633911,
-0.02700096182525158,
-0.0094355009496212,
0.001293487031944096,
0.05254802480340004,
0.011957569047808647,
0.017862174659967422,
-0.018069874495267868,
-0.023915138095617294,
-0.0017858465434983373,
0.04919515922665596,
-0.0016884873621165752,
-0.05397225171327591,
-0.021170534193515778,
-0.0061345589347183704,
0.06426822394132614,
-0.006446108687669039,
-0.007262071594595909,
0.043290551751852036,
0.034329794347286224,
0.015621984377503395,
0.0070024472661316395,
0.02703063189983368,
-0.011720197275280952,
0.01901935786008835,
0.057532817125320435,
-0.011393812485039234,
-0.05236999690532684,
-0.008916251361370087,
0.04548623412847519,
-0.012016911059617996,
-0.0010180994868278503,
0.03204509615898132,
-0.018440766260027885,
-0.04830501601099968,
-0.053675536066293716,
-0.006179066374897957,
-0.04830501601099968,
-0.07287292182445526,
-0.007410428486764431,
0.054654691368341446,
-0.010548178106546402,
0.034359466284513474,
0.016037384048104286,
-0.0003242989769205451,
-0.04578294977545738,
-0.03456716611981392,
-0.0027520209550857544,
0.022268375381827354,
-0.007243527099490166,
-0.03972998633980751,
-0.01407165452837944,
0.04415102303028107,
0.0022142271045595407,
-0.0027000962290912867,
0.06462427973747253,
-0.02130405604839325,
0.032994579523801804,
0.013077663257718086,
-0.017802830785512924,
-0.016719825565814972,
-0.010199539363384247,
0.02443438582122326,
-0.012350714765489101,
0.0023217860143631697,
0.010236628353595734,
-0.008471180684864521,
0.019049029797315598,
-0.05014464259147644,
-0.035724349319934845,
-0.0026815515011548996,
-0.03225279599428177,
-0.01993917115032673,
-0.04394332319498062,
0.07043986767530441,
-0.0006731695611961186,
-0.015503299422562122,
-0.012039165012538433,
0.03186706826090813,
0.03157035633921623,
-0.02161560393869877,
-0.03842444345355034,
-0.021422740072011948,
-0.02895927242934704,
-0.02557673491537571,
0.040382757782936096,
-0.023796452209353447,
-0.062250569462776184,
-0.043320223689079285,
0.025650912895798683,
0.05530746281147003,
-0.04053111374378204,
-0.012988649308681488,
0.023633258417248726,
0.0012499071890488267,
-0.018692974001169205,
-0.025903120636940002,
-0.004446999169886112,
0.021452412009239197,
0.022387061268091202,
-0.04343890771269798,
-0.027312511578202248,
-0.047029148787260056,
-0.022550253197550774,
-0.02465692162513733,
-0.007295452058315277,
-0.008804983459413052,
0.044269707053899765,
-0.013537569902837276,
-0.01277353148907423,
0.018603958189487457,
-0.002887396840378642,
-0.027713075280189514,
-0.046999476850032806,
0.020651284605264664,
0.016927525401115417,
-0.029270822182297707,
0.04165862500667572,
0.00550033338367939,
0.005841554142534733,
-0.02054743468761444,
0.011134187690913677,
-0.03830575942993164,
-0.04919515922665596,
0.024731099605560303,
0.027876267209649086,
-0.027327345684170723,
0.0176693107932806,
-0.03225279599428177,
-0.034804534167051315,
0.022579925134778023,
-0.019108371809124947,
0.013990058563649654,
-0.010451746173202991,
-0.012061418034136295,
0.020517762750387192,
-0.0018767152214422822,
0.01876715198159218,
0.008434091694653034,
0.02295081689953804,
-0.0295081939548254,
0.023024994879961014,
0.0017005413537845016,
-0.01845560222864151,
-0.008248644880950451,
0.03441880643367767,
0.021956825628876686,
-0.027742745354771614,
-0.011927897110581398,
-0.07411912083625793,
-0.011060008779168129,
-0.010926487855613232,
-0.03406275063753128,
0.021407905966043472,
0.02912246622145176,
-0.04017505794763565,
-0.030650541186332703,
0.03355833888053894,
0.03536829352378845,
-0.010006674565374851,
-0.027297675609588623,
0.01563682034611702,
-0.019479265436530113,
0.004517468623816967,
-0.05171722546219826,
0.03548697754740715,
-0.03400340676307678,
0.008456344716250896,
-0.061241742223501205,
-0.009346487000584602,
0.06735404580831528,
0.011913061141967773,
-0.017298417165875435,
0.0448928065598011,
-0.05860098823904991,
-0.03489354997873306,
-0.012306207790970802,
0.016719825565814972,
0.006605592556297779,
0.004161411896348,
0.024493729695677757,
-0.020873820409178734,
-0.04159928485751152,
-0.004751130472868681,
0.043794967234134674,
-0.009887989610433578,
0.024553071707487106,
-0.01045916322618723,
-0.020680956542491913,
-0.029077958315610886,
-0.027653731405735016,
-0.019864993169903755,
-0.049432530999183655,
0.014798603951931,
0.024197015911340714,
0.0015438393456861377,
-0.018292410299181938,
0.022876638919115067,
0.0521029531955719,
0.006653808522969484,
0.023158516734838486,
0.016927525401115417,
0.012973813340067863,
0.01605222001671791,
-0.027549881488084793,
0.027831759303808212,
0.02861805260181427,
0.03892885893583298,
-0.04839403182268143,
0.016571469604969025,
0.004940285813063383,
-0.05245900899171829,
0.03082857094705105,
-0.02088865637779236,
0.013188931159675121,
-0.026585562154650688,
0.02814330905675888,
-0.03409242257475853,
-0.008003856055438519,
-0.011490244418382645,
-0.0070766257122159,
-0.007781321182847023,
0.006613010074943304,
-0.012432310730218887,
0.009390993975102901,
0.005637563299387693,
0.02197166159749031,
0.03925524279475212,
0.07038053125143051,
-0.024998143315315247,
0.02747570350766182,
0.0165566336363554,
-0.003961130045354366,
0.019672129303216934,
0.036139748990535736,
0.0543283075094223,
-0.037237588316202164,
0.0003718195657711476,
0.00804094597697258,
0.07536531984806061,
-0.00856019463390112,
-0.004369111731648445,
-0.027579553425312042,
-0.006887470372021198,
0.004446999169886112,
-0.014227429404854774,
0.02627401240170002,
0.03602106124162674,
-0.014598322100937366,
-0.015978042036294937,
-0.09233735501766205,
-0.05587121844291687,
-0.004576811101287603,
-0.05118314176797867,
-0.0008052999619394541,
0.0003755284706130624,
0.02320302464067936,
0.0474148765206337,
0.0024089457001537085,
0.00007893051952123642,
-0.01912320777773857,
-0.005400192458182573,
0.014412876218557358,
-0.01077813096344471,
0.006727986969053745,
-0.04604998975992203,
0.03020547144114971,
0.017624802887439728,
-0.025502556934952736,
-0.005830427166074514,
-0.0011618202552199364,
-0.0014066091971471906,
-0.05854164436459541,
0.023128844797611237,
0.05225130915641785,
-0.03729693219065666,
0.022565089166164398,
-0.05017431452870369,
0.014027147553861141,
0.022120017558336258,
0.02984941378235817,
-0.008241227827966213,
-0.01416808646172285,
-0.02158593386411667,
0.016734661534428596,
-0.0448334626853466,
-0.011549587361514568,
0.031956084072589874,
0.01169794425368309,
0.07043986767530441,
-0.04269712418317795,
-0.0023885464761406183,
0.026511384174227715,
0.0377420037984848,
-0.043735623359680176,
-0.006342258770018816,
0.07417846471071243,
0.018915507942438126,
0.03821674361824989,
-0.022654103115200996,
0.016037384048104286,
0.006761366967111826,
-0.011356722563505173,
-0.005415027961134911,
0.01674949750304222,
0.006683479528874159,
0.023114008828997612,
0.015087899751961231,
-0.007951931096613407,
-0.004832726903259754,
0.018069874495267868,
0.014613158069550991,
0.02811363898217678,
0.012788367457687855,
0.010726206004619598,
0.020844148471951485,
-0.007759067229926586,
0.051450181752443314,
0.014620575122535229,
-0.0022383350878953934,
0.009695125743746758,
0.02808396704494953,
-0.0012563978089019656,
-0.01982048526406288,
-0.017520952969789505,
-0.017773160710930824,
-0.07364437729120255,
0.056583333760499954,
-0.006583338603377342,
0.040916841477155685,
0.004239299334585667,
0.05616793408989906,
-0.0032898150384426117,
-0.032875895500183105,
0.04646538943052292,
-0.011868554167449474,
0.03513092175126076,
-0.004847562871873379,
-0.01870780810713768,
0.048987459391355515,
-0.0059008970856666565,
0.05147985368967056,
-0.03685186058282852,
0.016437947750091553,
0.03732660412788391,
-0.010718788020312786,
-0.019494101405143738,
0.034329794347286224,
0.00015925189654808491,
-0.012714188545942307,
0.01369334477931261,
0.021734289824962616,
0.034715522080659866,
0.023633258417248726,
-0.008953340351581573,
-0.0153994495049119,
-0.011312215588986874,
-0.011163858696818352,
-0.012091089971363544,
0.0615977980196476,
0.015280763618648052,
0.03578369319438934,
-0.028098803013563156,
-0.013574658893048763,
0.048987459391355515,
-0.021482083946466446,
-0.013522733934223652,
-0.020176542922854424,
-0.00369965098798275,
-0.021096356213092804,
0.0497589148581028,
0.022045839577913284,
-0.0066315545700490475,
0.02643720433115959,
-0.03691120445728302,
-0.024642085656523705,
-0.003757139202207327,
0.0013528297422453761,
-0.023054666817188263,
0.003174838377162814,
-0.016230247914791107,
0.006731695495545864,
-0.007106297183781862,
-0.0003166493261232972,
0.032846223562955856,
-0.027520211413502693,
0.0030468804761767387,
-0.009687707759439945,
-0.07192344218492508,
-0.011252873577177525,
-0.007017282769083977,
0.05521845072507858,
-0.04536755010485649,
-0.06800681352615356,
-0.04168829694390297,
-0.00667977100238204,
0.0008674244163557887,
0.02415250800549984,
0.034804534167051315,
-0.010525924153625965,
0.008397002704441547,
0.023499738425016403,
-0.0072286915965378284,
0.030591199174523354,
-0.0037107777316123247,
-0.01203174702823162,
-0.05539647862315178,
0.023751944303512573,
0.00805578101426363,
0.0020769969560205936,
0.04738520458340645,
-0.04435872286558151,
-0.011638601310551167,
-0.05495140701532364,
0.0003252261958550662,
-0.024033822119235992,
0.003486387897282839,
0.020310062915086746,
-0.006045544985681772,
0.012944142334163189,
0.02364809438586235,
0.05073807016015053,
-0.009331651031970978,
0.010711370036005974,
-0.013893626630306244,
-0.05412060767412186,
0.031154954805970192,
-0.01731325313448906,
0.027520211413502693,
-0.01993917115032673,
-0.01027371734380722,
0.017164897173643112,
-0.02443438582122326,
0.026704248040914536,
-0.03875083103775978,
0.2596839666366577,
0.04889844357967377,
0.03409242257475853,
0.007595874834805727,
0.0012378530809655786,
0.04780060425400734,
0.038098059594631195,
-0.052280981093645096,
0.01683851145207882,
-0.012291371822357178,
0.04240041226148605,
0.026659740135073662,
0.0071619306690990925,
0.00534084951505065,
0.007147095166146755,
0.04533787816762924,
-0.045278534293174744,
-0.02981974370777607,
0.004814182408154011,
-0.03605073317885399,
0.0029393217992037535,
-0.009494843892753124,
0.01411616150289774,
0.007477189414203167,
-0.031481340527534485,
-0.006216155365109444,
0.05112379789352417,
-0.03456716611981392,
0.01407165452837944,
-0.02124471217393875,
-0.027965281158685684,
0.009012683294713497,
-0.010169867426156998,
-0.025191007182002068,
-0.014665083028376102,
0.01340404897928238,
0.0188710018992424,
-0.045693933963775635,
0.015963206067681313,
0.013938133604824543,
-0.029419180005788803,
0.04406200721859932,
-0.027520211413502693,
-0.025532227009534836,
-0.008389584720134735,
0.0330539233982563,
-0.017268747091293335,
-0.017105553299188614,
0.007655217777937651,
-0.043735623359680176,
0.08658110350370407,
-0.039106886833906174,
0.008856908418238163,
-0.05248868092894554,
-0.025784434750676155,
-0.018322080373764038,
0.015429120510816574,
-0.030279649421572685,
0.028321338817477226,
0.008523105643689632,
0.03676284849643707,
-0.02817298099398613,
0.0025202133692801,
0.026541054248809814,
-0.005114605184644461,
0.04972924292087555,
-0.025917956605553627,
0.01489503588527441,
-0.03830575942993164,
-0.024330535903573036,
-0.03320227935910225,
-0.030220307409763336,
-0.0062124463729560375,
0.005125732161104679,
0.08883613348007202,
-0.03987834230065346,
0.006190192885696888,
0.06705733388662338,
0.003623618045821786,
0.027935609221458435,
-0.03815740346908569,
-0.03931458666920662,
-0.07477189600467682,
0.013685926795005798,
0.044714778661727905,
0.024330535903573036,
-0.006327423267066479,
0.014257101342082024,
-0.016452783718705177,
0.0056746527552604675,
-0.0088346553966403,
-0.004617609549313784,
0.01826273836195469,
0.01652696169912815,
-0.04441806674003601
] |
1213_4 | There is a well-known small marble group in the British Museum illustrative of the story, in gallery 83/84.
Two paintings by the 16th century painter Titian (Death of Actaeon and Diana and Actaeon).Actéon, an operatic pastorale by Marc-Antoine Charpentier.
Percy Bysshe Shelley suggests a parallel between his alter-ego and Actaeon in his elegy for John Keats, Adonais, stanza 31 ('[he] had gazed on Nature's naked loveliness/ Actaeon-like, and now he fled astray/ .../ And his own thoughts, along that rugged way,/ Pursued, like raging hounds, their father and their prey.')
The aria "Oft she visits this lone mountain" from Purcell's Dido and Aeneas, first performed in 1689 or earlier.
Giordano Bruno, "Gli Eroici Furori".
In canto V of Giambattista Marino's poem "Adone" the protagonist goes to theater to see a tragedy representing the myth of Actaeon. This episode foreshadows the protagonist's violent death at the end of the book.
In Act I Scene 2 of Jacques Offenbach's Orpheus in the Underworld, Actaeon is Diana (Artemis)'s lover, and it is Jupiter who turns him into a stag, which puts Diana off hunting. His story is relinquished at this point, in favour of the other plots.
Ted Hughes wrote a version of the story in his Tales from Ovid.
In Alexandre Dumas' novel La Reine Margot, Charles IX of France, fond of the hunt, has a much-loved and ill-fated hunting dog named Actaeon.
Diane and Actéon Pas de Deux from Marius Petipa's ballet, Le Roi Candaule, to the music by Riccardo Drigo and Cesare Pugni, later incorporated into the second act of La Esmeralda (ballet). | [
0.010756301693618298,
-0.022878482937812805,
0.04530167207121849,
-0.01851051300764084,
-0.0030163174960762262,
0.001692232326604426,
-0.027531011030077934,
-0.0026872968301177025,
0.07335911691188812,
-0.007163753733038902,
0.023717930540442467,
-0.017969852313399315,
0.004528033081442118,
0.02026054635643959,
-0.011922990903258324,
0.015081587247550488,
-0.0329803004860878,
-0.01626250334084034,
-0.06926147639751434,
0.005965052172541618,
0.002025699010118842,
0.03218353912234306,
-0.05264327675104141,
-0.042029254138469696,
0.014996219426393509,
0.018482057377696037,
0.04126094654202461,
0.02413053996860981,
0.024372413754463196,
0.0031016848515719175,
0.04638299345970154,
0.057480767369270325,
0.022295137867331505,
-0.009895512834191322,
0.026421234011650085,
-0.0066586630418896675,
-0.0025005554780364037,
-0.06914765387773514,
0.025382595136761665,
-0.05804988369345665,
0.053127024322748184,
-0.048374902456998825,
0.035399045795202255,
-0.0037881815806031227,
0.022935394197702408,
0.03417544439435005,
0.018709704279899597,
-0.04735049232840538,
0.0037383839953690767,
-0.01742919348180294,
0.005175403319299221,
-0.027431415393948555,
-0.030874568969011307,
-0.052899379283189774,
-0.0093833077698946,
-0.03778933361172676,
-0.00847272202372551,
-0.001559734926559031,
0.04302520677447319,
0.021313412114977837,
0.01535191759467125,
-0.04134631156921387,
0.040862563997507095,
-0.0591881163418293,
-0.013274641707539558,
0.007619047071784735,
0.005822773091495037,
0.014512470923364162,
-0.012527677230536938,
0.0068827527575194836,
0.01217909250408411,
0.05321239307522774,
0.04757813736796379,
0.013438262976706028,
-0.019421100616455078,
-0.041061755269765854,
-0.03702102601528168,
-0.03275265544652939,
0.04629762843251228,
0.01853897050023079,
0.047492772340774536,
0.004720109980553389,
-0.024870390072464943,
0.002564581111073494,
-0.013630339875817299,
-0.024742338806390762,
-0.02852696366608143,
0.04991151764988899,
-0.0250126700848341,
0.01619136333465576,
0.0511351153254509,
0.05509047582745552,
0.04629762843251228,
0.0004510692961048335,
-0.01400026585906744,
0.030447732657194138,
-0.017998309805989265,
0.01262015849351883,
0.024770794436335564,
0.0006220265640877187,
0.003941131755709648,
-0.0017784889787435532,
-0.04459027573466301,
-0.02546796388924122,
-0.020858120173215866,
0.02127072960138321,
0.00028855985146947205,
0.030590010806918144,
0.006210483610630035,
-0.05127739533782005,
0.03966742008924484,
0.0012920722365379333,
0.053155481815338135,
-0.00026343867648392916,
0.00842292420566082,
0.02010403946042061,
-0.056143343448638916,
0.007924946956336498,
-0.022067492827773094,
-0.01239251159131527,
-0.004929971415549517,
0.00840869639068842,
-0.013964695855975151,
-0.004207904916256666,
-0.0026606195606291294,
-0.022380506619811058,
-0.007917833514511585,
0.017941396683454514,
-0.07711528241634369,
-0.003791738534346223,
0.005104263313114643,
0.005477746017277241,
0.015522652305662632,
0.020473966374993324,
-0.001368547324091196,
0.010806099511682987,
0.0009995108703151345,
-0.010571339167654514,
0.047948066145181656,
-0.09885553270578384,
-0.013231958262622356,
-0.011012404225766659,
0.014377305284142494,
0.0888959988951683,
0.004126094747334719,
0.009618069045245647,
0.009063180536031723,
0.038699921220541,
-0.08292027562856674,
0.03568360581994057,
-0.07449734956026077,
0.001397003186866641,
-0.0073842862620949745,
0.024415098130702972,
-0.019762570038437843,
-0.0020701612811535597,
0.024187451228499413,
-0.005491974297910929,
0.03667955845594406,
-0.006039748899638653,
-0.03218353912234306,
-0.00486238906159997,
-0.02299230545759201,
0.027815569192171097,
-0.011922990903258324,
0.03818771615624428,
-0.011453469283878803,
-0.02865501493215561,
0.00634209206327796,
-0.002484549069777131,
-0.0014005601406097412,
0.028114354237914085,
-0.03716330602765083,
-0.03261037543416023,
0.004435551818460226,
0.014754344709217548,
-0.001556177856400609,
-0.04962695762515068,
-0.0040940819308161736,
0.020758524537086487,
0.025539102032780647,
0.024998441338539124,
0.010827441699802876,
0.02933795563876629,
-0.0015259436331689358,
-0.028398912400007248,
-0.022522784769535065,
-0.024728111922740936,
-0.039980433881282806,
0.022608153522014618,
0.01623404771089554,
0.03852918744087219,
0.019036946818232536,
0.010116045363247395,
0.020473966374993324,
0.04126094654202461,
-0.009162775240838528,
-0.048175711184740067,
0.04160241410136223,
-0.014263481833040714,
-0.029053397476673126,
0.03115912713110447,
-0.025482190772891045,
0.012997197918593884,
0.05765150114893913,
-0.03616735339164734,
0.018425146117806435,
0.029907071962952614,
-0.01409986149519682,
0.07671689987182617,
0.011894534341990948,
-0.006302965339273214,
-0.015110042877495289,
0.015579563565552235,
0.023106129840016365,
0.009461561217904091,
-0.05321239307522774,
0.03776087984442711,
-0.0004041616339236498,
0.0318705253303051,
0.04396424815058708,
0.052500996738672256,
-0.024955758824944496,
0.04939931258559227,
-0.024045171216130257,
-0.03372015058994293,
0.019193453714251518,
0.035626690834760666,
-0.029963983222842216,
-0.043821968138217926,
0.03978124260902405,
0.004293272737413645,
-0.011894534341990948,
-0.0330372117459774,
-0.005808545276522636,
0.04205770790576935,
-0.01740073598921299,
0.009923968464136124,
-0.0330372117459774,
0.004101195838302374,
-0.004784135613590479,
-0.005189631134271622,
0.05819215998053551,
0.05736694112420082,
0.011232936754822731,
0.02289271168410778,
0.02038859762251377,
0.0014654749538749456,
0.06453780829906464,
0.03889911249279976,
0.0012191542191430926,
0.048118799924850464,
-0.015579563565552235,
-0.0637410506606102,
-0.049057841300964355,
0.027360275387763977,
0.017514560371637344,
0.0038379793986678123,
0.04934240132570267,
-0.0704566240310669,
-0.021597970277071,
0.0015944154001772404,
0.019079631194472313,
-0.01382241677492857,
0.03551286831498146,
0.02036014199256897,
0.05122048407793045,
0.03306566923856735,
-0.00545640429481864,
-0.058135248720645905,
-0.02314881421625614,
-0.03249655291438103,
-0.10369302332401276,
0.01957760751247406,
0.001967008924111724,
-0.024671200662851334,
0.0580783374607563,
-0.05028144270181656,
0.0011906983563676476,
-0.011645546182990074,
0.0010715395910665393,
0.04117557778954506,
-0.07108265161514282,
-0.01104085985571146,
0.0005637810099869967,
-0.01131830457597971,
0.01821172796189785,
0.027203768491744995,
-0.0591312050819397,
-0.0042292471043765545,
0.0035018448252230883,
-0.06328575313091278,
-0.007483881898224354,
-0.05045217648148537,
-0.00825930293649435,
0.024827707558870316,
-0.004001600202172995,
-0.02091503143310547,
0.00704993074759841,
-0.0637979581952095,
0.0013898891629651189,
-0.01573607139289379,
-0.00628518033772707,
0.029224131256341934,
-0.02858387492597103,
0.019435327500104904,
-0.0023031432647258043,
-0.01987639255821705,
-0.038358449935913086,
-0.03830153867602348,
-0.07643234729766846,
0.033833976835012436,
-0.013829531148076057,
0.058846645057201385,
-0.02689075469970703,
0.01227868814021349,
0.005644924007356167,
0.017230002209544182,
-0.00801742821931839,
-0.038557641208171844,
0.02420167811214924,
-0.04854563623666763,
0.007249121088534594,
-0.006857853848487139,
-0.04077719524502754,
0.016347872093319893,
0.02802898734807968,
-0.0420861653983593,
-0.002031034557148814,
0.021228045225143433,
-0.0024560934398323298,
0.05326930433511734,
-0.005499088205397129,
-0.006487927865236998,
0.028968028724193573,
0.028213949874043465,
-0.02266506478190422,
-0.001420123502612114,
0.004022942390292883,
0.017030810937285423,
-0.009048951789736748,
-0.041773151606321335,
0.011987016536295414,
0.03978124260902405,
-0.0796763077378273,
-0.0013818859588354826,
0.030447732657194138,
-0.018880439922213554,
-0.0030607795342803,
0.012499220669269562,
-0.05139121785759926,
0.00705704465508461,
-0.03554132580757141,
-0.0066230930387973785,
0.04396424815058708,
0.0273175910115242,
0.012477879412472248,
0.01613445207476616,
-0.02010403946042061,
-0.009006268344819546,
-0.01102663204073906,
0.02283579856157303,
0.03989506512880325,
0.0013063001679256558,
0.022124404087662697,
-0.06977368146181107,
0.0011915876530110836,
0.019492240622639656,
0.02329109236598015,
-0.01954915188252926,
0.0318705253303051,
0.0465821847319603,
-0.020630473271012306,
-0.030675379559397697,
0.0023813967127352953,
0.0466390959918499,
0.02344759926199913,
-0.01401449367403984,
0.017443420365452766,
-0.038329996168613434,
-0.013267528265714645,
-0.03574051707983017,
0.017286913469433784,
0.034687649458646774,
-0.02003290131688118,
-0.0001004290534183383,
0.004407095722854137,
0.0250695813447237,
-0.011311190202832222,
-0.04052109271287918,
0.01128273457288742,
0.018197499215602875,
0.04370814561843872,
-0.03508603200316429,
-0.024472009390592575,
-0.026492372155189514,
0.032695744186639786,
0.0057160635478794575,
-0.0043501839973032475,
-0.005815659184008837,
0.02959405817091465,
0.03841536492109299,
0.0022569026332348585,
0.0017678181175142527,
-0.03482992947101593,
0.03212662413716316,
-0.036565735936164856,
0.05639944598078728,
0.017244229093194008,
-0.0034502686467021704,
-0.009525586850941181,
0.014171000570058823,
-0.038813743740320206,
-0.013943353667855263,
0.004001600202172995,
0.028285089880228043,
-0.030447732657194138,
0.004890844691544771,
0.02911030873656273,
-0.003994486294686794,
0.028470052406191826,
0.023789068683981895,
0.040151167660951614,
0.02916721999645233,
0.028014758601784706,
-0.0010315236868336797,
0.0015606241067871451,
-0.057708412408828735,
-0.01623404771089554,
0.02724645286798477,
-0.019506467506289482,
0.0003888221690431237,
-0.018097903579473495,
0.05116357281804085,
-0.010820327326655388,
0.021099993959069252,
0.01841091923415661,
-0.019748343154788017,
0.018752388656139374,
-0.012577474117279053,
0.05605797469615936,
0.016376327723264694,
-0.03363478556275368,
0.013367123901844025,
0.020203635096549988,
-0.0036210035905241966,
0.028185494244098663,
-0.00040682937833480537,
0.023106129840016365,
0.020986171439290047,
0.0353136770427227,
-0.04376505687832832,
-0.021868301555514336,
-0.007334488909691572,
0.011531722731888294,
0.0079534025862813,
-0.04954158887267113,
-0.003884220030158758,
0.004158107563853264,
0.0409763865172863,
0.013274641707539558,
0.00966075249016285,
0.006719131488353014,
-0.0340900793671608,
-0.02038859762251377,
0.05210261419415474,
-0.012741095386445522,
0.006498598959296942,
-0.0009755012579262257,
-0.00842292420566082,
0.019762570038437843,
-0.021541059017181396,
-0.001450357842259109,
0.010585566982626915,
-0.02250855788588524,
-0.04846026748418808,
-0.04094793274998665,
0.013331553898751736,
0.013409807346761227,
0.01980525441467762,
0.005459961481392384,
0.0244862362742424,
0.01502467505633831,
-0.0050117820501327515,
-0.012776665389537811,
-0.028839977458119392,
-0.0012911830563098192,
-0.037248674780130386,
-0.003434262238442898,
-0.024642743170261383,
0.026691563427448273,
-0.03300875797867775,
0.013075451366603374,
-0.017486104741692543,
0.008138366043567657,
-0.02263660915195942,
-0.013231958262622356,
-0.01899426244199276,
0.05233026295900345,
0.019136542454361916,
0.013687252067029476,
-0.0025574672035872936,
-0.013488060794770718,
0.017414964735507965,
0.05591569468379021,
-0.010998176410794258,
-0.03727712854743004,
-0.021228045225143433,
0.012499220669269562,
0.02878306619822979,
0.03411853313446045,
0.0025041126646101475,
0.027886707335710526,
0.01097683422267437,
0.01560802012681961,
-0.0034840600565075874,
0.01730114221572876,
0.006576852407306433,
0.025154948234558105,
0.06106619909405708,
-0.014612065628170967,
-0.03098839335143566,
-0.015821438282728195,
0.04809034243226051,
-0.00788937695324421,
0.012043927796185017,
0.005459961481392384,
-0.016376327723264694,
-0.03374860808253288,
-0.05332621559500694,
-0.014981991611421108,
-0.03824462741613388,
-0.05987105518579483,
-0.020089812576770782,
0.03778933361172676,
0.004108309745788574,
-0.0037561687640845776,
0.019179224967956543,
-0.026805385947227478,
0.014106974937021732,
-0.032439641654491425,
0.02198212407529354,
0.021156905218958855,
0.0027175312861800194,
-0.06453780829906464,
0.009931082837283611,
0.06078164279460907,
0.020246319472789764,
-0.01087723858654499,
0.05033835396170616,
0.0010830998653545976,
0.05557422712445259,
0.015636475756764412,
-0.0375901460647583,
-0.043167486786842346,
-0.01967720314860344,
0.014185228385031223,
-0.017158862203359604,
0.011645546182990074,
0.016532834619283676,
0.020175179466605186,
0.022167086601257324,
-0.06670045107603073,
-0.04513093829154968,
0.00010415276483399794,
-0.02757369354367256,
-0.0013294206000864506,
-0.012769551016390324,
0.07614778727293015,
0.009013382717967033,
-0.04740740358829498,
0.004851717967540026,
0.018610108643770218,
0.04054955020546913,
-0.032638829201459885,
-0.04823262244462967,
-0.041773151606321335,
-0.037248674780130386,
-0.03778933361172676,
0.024215906858444214,
-0.019961761310696602,
-0.07466808706521988,
-0.021114222705364227,
0.04143168032169342,
0.04942776635289192,
-0.014377305284142494,
-0.024998441338539124,
0.014434217475354671,
0.005381708033382893,
-0.010322350077331066,
-0.0256244707852602,
-0.0398666113615036,
0.030191630125045776,
-0.003151482669636607,
-0.07244852930307388,
-0.014355963096022606,
-0.03761859983205795,
0.019435327500104904,
-0.005289226304739714,
-0.01262015849351883,
-0.007846693508327007,
0.022906938567757607,
0.008856875821948051,
-0.030333908274769783,
0.00872882455587387,
0.0030501086730509996,
-0.01525232195854187,
-0.0250411257147789,
0.021740250289440155,
0.0004979769582860172,
-0.02016095258295536,
0.014981991611421108,
-0.02592325583100319,
0.0216264259070158,
-0.03730558604001999,
0.013480947352945805,
-0.039724331349134445,
-0.03329331427812576,
0.01560802012681961,
0.0013205280993133783,
-0.023106129840016365,
0.014227911829948425,
-0.0128122353926301,
-0.03164287656545639,
-0.005346138030290604,
-0.010322350077331066,
0.02721799537539482,
-0.044931747019290924,
-0.031045304611325264,
0.002863367320969701,
0.021669110283255577,
0.010158729739487171,
0.03377706557512283,
0.016988126561045647,
-0.03679338097572327,
0.04413498565554619,
0.012051042169332504,
-0.006744030397385359,
-0.04422035068273544,
0.061749137938022614,
0.01382241677492857,
0.0007829798269085586,
-0.02494153007864952,
-0.09663598239421844,
0.004446222446858883,
0.008764393627643585,
-0.005431505385786295,
-0.010621136985719204,
0.025837888941168785,
-0.05483437329530716,
0.0020008001010864973,
0.02165488339960575,
0.028768839314579964,
0.004513805266469717,
-0.03004935011267662,
0.043821968138217926,
-0.0093690799549222,
-0.011524609290063381,
-0.03938286006450653,
0.04217153042554855,
0.015636475756764412,
-0.004108309745788574,
-0.052472539246082306,
-0.008501177653670311,
0.08923746645450592,
0.016803164035081863,
-0.04478946700692177,
0.022238226607441902,
-0.058619000017642975,
-0.04376505687832832,
0.011545950546860695,
-0.002601929474622011,
-0.017557242885231972,
0.01084878295660019,
-0.003010981949046254,
-0.021797161549329758,
-0.007199323736131191,
-0.003523186780512333,
0.007825351320207119,
-0.0006802720599807799,
0.011851850897073746,
0.00806722603738308,
-0.004908629693090916,
-0.03534213453531265,
-0.0038379793986678123,
0.008337556384503841,
-0.057253118604421616,
0.007782667875289917,
-0.012605930678546429,
-0.023376459255814552,
-0.029707880690693855,
0.0016202034894376993,
0.0376470573246479,
-0.0026695120614022017,
0.01375839114189148,
0.014220798388123512,
0.005680494010448456,
0.002511226572096348,
-0.0341469906270504,
0.00860077328979969,
0.0455293208360672,
0.03622426465153694,
-0.007405628450214863,
0.021455692127346992,
-0.004737894982099533,
-0.07364367693662643,
0.012122181244194508,
-0.025837888941168785,
-0.01110488548874855,
-0.03485838696360588,
0.057253118604421616,
-0.039496686309576035,
-0.00825930293649435,
-0.03505757451057434,
-0.017059266567230225,
-0.0374763198196888,
0.012150636874139309,
-0.018325550481677055,
0.02432972937822342,
-0.027232224121689796,
0.04308211803436279,
-0.024443553760647774,
0.07574940472841263,
-0.002240896224975586,
0.005790760274976492,
0.007761326152831316,
0.010806099511682987,
0.00628518033772707,
0.020644700154662132,
0.07996086776256561,
-0.08144056797027588,
-0.03363478556275368,
0.005787203554064035,
0.03246809542179108,
0.009219687432050705,
0.0341469906270504,
-0.008494063280522823,
-0.015622247941792011,
-0.008529633283615112,
-0.02367524616420269,
0.00706415856257081,
0.019392644986510277,
-0.013509402982890606,
-0.02536836825311184,
-0.07415588200092316,
-0.06026943773031235,
-0.019847936928272247,
-0.052956290543079376,
-0.0008687918889336288,
0.013673023320734501,
-0.003197723301127553,
0.053610771894454956,
0.019520696252584457,
0.012541905045509338,
-0.010443287901580334,
-0.0136445676907897,
0.004581387620419264,
-0.0013294206000864506,
0.024016715586185455,
-0.04578542336821556,
0.01765683852136135,
-0.01577875390648842,
-0.04262682422995567,
-0.00033769060974009335,
-0.0029682982712984085,
-0.016547061502933502,
-0.06578986346721649,
0.02091503143310547,
0.03320794552564621,
-0.0187666155397892,
0.011951446533203125,
-0.03861455246806145,
0.027957847341895103,
-0.02696189470589161,
0.009390422143042088,
0.00871459674090147,
0.008202391676604748,
-0.003067893674597144,
0.00343959778547287,
0.003448490286245942,
0.001663776463828981,
0.024671200662851334,
-0.005620025563985109,
0.057423852384090424,
-0.013559200800955296,
-0.009233915247023106,
0.017699522897601128,
0.02881152182817459,
-0.043594323098659515,
0.03593970462679863,
0.045216307044029236,
0.0013463161885738373,
0.043366678059101105,
-0.03650882467627525,
-0.00819527730345726,
-0.004880174063146114,
-0.006231825798749924,
-0.009995108470320702,
0.01105508767068386,
0.03346404805779457,
0.010542882606387138,
0.0013418699381873012,
0.0006198034388944507,
0.05844826251268387,
0.02956560254096985,
0.0026677334681153297,
0.006751144304871559,
-0.00012649502605199814,
-0.0022462315391749144,
0.0011702458141371608,
-0.016305187717080116,
0.05554576963186264,
0.005783646367490292,
-0.022494329139590263,
0.03155750781297684,
-0.007135298103094101,
0.0033791291061788797,
0.007633274886757135,
-0.022024808451533318,
-0.04456182196736336,
-0.08331865072250366,
0.03261037543416023,
-0.00016573294124100357,
0.05759458988904953,
0.011631318368017673,
0.0705135315656662,
-0.023561423644423485,
0.0034289269242435694,
0.023789068683981895,
-0.023106129840016365,
0.03215508162975311,
-0.005303454119712114,
0.0018709704745560884,
0.023433372378349304,
-0.008686140179634094,
0.015821438282728195,
-0.041289400309324265,
-0.001721577369607985,
0.019734114408493042,
-0.010258324444293976,
-0.061578404158353806,
0.047236669808626175,
-0.014192342758178711,
0.011987016536295414,
-0.00504023814573884,
-0.007281133905053139,
0.021939441561698914,
0.04296829551458359,
0.013246186077594757,
0.0001426125963917002,
-0.03465919569134712,
0.012107953429222107,
-0.02347605489194393,
0.05642789974808693,
0.028711926192045212,
0.060440171509981155,
-0.04444799944758415,
-0.01851051300764084,
0.029963983222842216,
-0.0013347560307011008,
-0.025980167090892792,
-0.0012147079687565565,
0.008344670757651329,
-0.007789781782776117,
0.06670045107603073,
-0.004809034522622824,
-0.008465607650578022,
0.021740250289440155,
-0.06721265614032745,
-0.010827441699802876,
-0.0307607464492321,
0.016703568398952484,
-0.013537858612835407,
0.04282601550221443,
-0.021114222705364227,
0.01512427069246769,
-0.00012949622760061175,
-0.026264725252985954,
0.03943977132439613,
-0.026250498369336128,
-0.0025041126646101475,
0.005680494010448456,
-0.07165176421403885,
0.016888532787561417,
-0.036309633404016495,
0.057679954916238785,
-0.01353074423968792,
-0.04305366426706314,
-0.03938286006450653,
-0.021768705919384956,
0.003203058848157525,
-0.03434618189930916,
0.017614156007766724,
-0.05560268089175224,
-0.01217909250408411,
0.013331553898751736,
0.004179449286311865,
0.029309500008821487,
-0.02556755766272545,
0.005573784466832876,
-0.012193321250379086,
0.0142421405762434,
-0.0017029033042490482,
0.01899426244199276,
0.035399045795202255,
-0.005545328836888075,
0.0053496952168643475,
-0.05073673650622368,
0.013744163326919079,
-0.03781779110431671,
0.02266506478190422,
0.04513093829154968,
0.00013627672160509974,
-0.009874171577394009,
0.020730068907141685,
0.03340713679790497,
-0.0031479254830628633,
0.03095993772149086,
-0.03206971287727356,
-0.06516383588314056,
0.02666310779750347,
-0.03713485226035118,
0.019648747518658638,
-0.021114222705364227,
-0.01395046804100275,
-0.004922857508063316,
-0.03579742833971977,
0.031728245317935944,
-0.043110575526952744,
0.23606951534748077,
0.03480147197842598,
0.03158596530556679,
-0.014754344709217548,
-0.038785289973020554,
0.040834106504917145,
0.011467697098851204,
-0.0387568324804306,
-0.027715973556041718,
-0.0064559150487184525,
0.04094793274998665,
0.02985016070306301,
0.004702324979007244,
0.00397670129314065,
-0.0033773507457226515,
0.04003734514117241,
-0.02028900384902954,
-0.009020496159791946,
-0.023234181106090546,
-0.04456182196736336,
-0.019463783130049706,
0.033805519342422485,
-0.011133341118693352,
-0.005491974297910929,
-0.00977457594126463,
-0.006214040797203779,
0.05528966709971428,
-0.02081543579697609,
0.03551286831498146,
-0.035427503287792206,
-0.026321638375520706,
-0.035370588302612305,
-0.008060112595558167,
-0.03417544439435005,
-0.012755323201417923,
-0.02481347881257534,
0.0031568179838359356,
-0.009112977422773838,
0.025937484577298164,
0.013345781713724136,
-0.016049085184931755,
0.04575696587562561,
-0.04020807892084122,
-0.01727268472313881,
-0.008266417309641838,
0.009127206169068813,
-0.023461828008294106,
0.018980035558342934,
0.003919790033251047,
-0.027986302971839905,
0.07364367693662643,
-0.044021159410476685,
0.020786980167031288,
-0.05890355631709099,
-0.02331954799592495,
-0.04171624034643173,
-0.0009150326368398964,
-0.035114485770463943,
-0.008942242711782455,
0.0038877769839018583,
0.022921167314052582,
-0.003880663076415658,
0.027075717225670815,
0.014355963096022606,
-0.032866477966308594,
0.06294428557157516,
0.005765861365944147,
-0.0017180204158648849,
-0.04649681597948074,
-0.039041392505168915,
-0.046069979667663574,
-0.05560268089175224,
-0.015878349542617798,
0.011709571816027164,
0.07688763737678528,
-0.006046862807124853,
0.024543149396777153,
0.07631852477788925,
0.0113965580239892,
0.04160241410136223,
-0.027502553537487984,
-0.057480767369270325,
-0.0319274365901947,
-0.018553197383880615,
0.05278555303812027,
0.029195675626397133,
-0.02556755766272545,
0.03261037543416023,
0.006231825798749924,
0.034260813146829605,
-0.008252189494669437,
0.0009799475083127618,
0.03807389363646507,
0.005111377686262131,
-0.024045171216130257
] |
1213_5 | In Twelfth Night by William Shakespeare, Orsino compares his unrequited love for Olivia to the fate of Actaeon. "O, when mine eyes did see Olivia first, Methought she purged the air of pestilence, That instant was I turned into a hart, and my desires like fell and cruel hounds e'er since pursue me." Act 1 Scene 1.
In Christopher Marlowe's play Edward II, courtier Piers Gaveston seeks to entertain his lover, King Edward II of England, by presenting a play based on the Actaeon myth. In Gaveston's version, Diane is played by a naked boy holding an olive branch to hide his loins, and it is the boy-Diane who transforms Actaeon into a hart and lets him be devoured by the hounds. Thus, Gaveston's (and Marlowe's) interpretation adds a strong element of homoeroticism, absent from the original myth.
Paul Manship in 1925 created a set of copper statute of Diane and Actaeon, which in the Luce Lunder Smithsonian Institution.
Diana at Her Bath by Pierre Klossovski (1956)
Aktaion Energy is the name of a local conglomerate with ties to the Dome event and The Hounds of Diana is a Dome conspiracy/Aktaion Energy watchdog website run by a member of Aktaion's IT department who goes by the alias Dromas.
French based collective LFKs and his film/theatre director, writer and visual artist Jean Michel Bruyere produced a series of 600 shorts and "medium" films, an interactive 360° installation, Si poteris narrare licet ("if you are able to speak of it, then you may do so") in 2002, a 3D 360° installation La Dispersion du Fils (from 2008 to 2016) and an outdoor performance, "Une Brutalité pastorale" (2000) all about the myth of Diana and Actaeon.
Actaeon and his dogs make an appearance in Diana Wynne Jones's novel The Game, in which the main character encounters various mythological figures while wandering the mythosphere.
The Actaeon myth is incorporated into Rachael Craw's 2018 novel The Rift. | [
0.028450986370444298,
-0.047111716121435165,
0.0333305262029171,
-0.04165536165237427,
-0.025582503527402878,
-0.010507377795875072,
-0.03364231809973717,
-0.018956931307911873,
0.0315844900906086,
0.007670074235647917,
0.017647406086325645,
-0.009556413628160954,
0.04284016788005829,
0.010468403808772564,
-0.02339996211230755,
0.01685233786702156,
-0.03155331313610077,
-0.006520342547446489,
-0.07738668471574783,
0.005331636872142553,
0.03133505955338478,
0.0451786071062088,
-0.0658503919839859,
-0.04430558905005455,
0.010889322496950626,
0.016680851578712463,
0.07071433961391449,
-0.040377017110586166,
0.04096942022442818,
-0.007825969718396664,
0.036354903131723404,
0.04608280211687088,
0.020235275849699974,
-0.0001505369000369683,
0.030633527785539627,
-0.028341859579086304,
-0.0072218733839690685,
-0.05085321515798569,
0.020687375217676163,
-0.051850948482751846,
0.040189940482378006,
-0.0325198657810688,
0.0144593371078372,
-0.010897117666900158,
0.0019691588822752237,
0.0400652252137661,
0.0346088707447052,
-0.04131238907575607,
0.003453092183917761,
-0.011785723268985748,
-0.011536289937794209,
-0.010865937918424606,
-0.032894015312194824,
-0.07058962434530258,
-0.014950408600270748,
-0.018504833802580833,
-0.023649394512176514,
0.002940584672614932,
0.0278741717338562,
0.012401511892676353,
0.030758244916796684,
-0.03810093551874161,
0.0019116724142804742,
-0.03195864334702492,
-0.023852059617638588,
0.004965281579643488,
0.006239729933440685,
0.009486259892582893,
0.003805806627497077,
0.034951839596033096,
0.03041527420282364,
0.012401511892676353,
0.011832492426037788,
0.002410538960248232,
-0.016774389892816544,
-0.054033488035202026,
-0.023197297006845474,
-0.02614372782409191,
0.03710320219397545,
0.018972519785165787,
0.03152213245630264,
0.010780195705592632,
-0.044742099940776825,
-0.006715212017297745,
-0.03329934552311897,
-0.00755704939365387,
-0.003618731629103422,
0.05100911110639572,
0.001367985736578703,
0.006571008358150721,
0.05618485063314438,
0.023056991398334503,
0.04686228185892105,
0.0006874030805192888,
-0.0467999242246151,
0.02126418985426426,
-0.014022828079760075,
-0.021731875836849213,
0.00046500799362547696,
0.006781467702239752,
0.0009597336174920201,
0.009930563159286976,
-0.03152213245630264,
-0.004540465772151947,
-0.01250284444540739,
0.032987553626298904,
0.03937928378582001,
0.00410006009042263,
0.018239811062812805,
-0.07445584237575531,
0.020344404503703117,
-0.01256520301103592,
0.04333903640508652,
-0.022230742499232292,
0.02213720604777336,
0.006419009994715452,
-0.03679141029715538,
-0.0018239810597151518,
-0.026611415669322014,
-0.0003412656660657376,
0.0040844702161848545,
-0.010234559886157513,
-0.0467999242246151,
-0.022604893893003464,
0.0030438657850027084,
-0.02085885964334011,
0.013352476060390472,
-0.02035999298095703,
-0.06497737765312195,
0.00565901817753911,
0.008574269711971283,
0.004482004791498184,
0.006313780322670937,
0.028949853032827377,
0.0008121197461150587,
0.03810093551874161,
-0.0061812689527869225,
0.017195308580994606,
0.031724799424409866,
-0.07389461249113083,
-0.010928296484053135,
-0.01543368585407734,
0.0011390137951821089,
0.09833908081054688,
0.022199563682079315,
0.012346948496997356,
-0.01853601261973381,
0.032769300043582916,
-0.0725850909948349,
0.06959189474582672,
-0.049574870616197586,
-0.03264458477497101,
0.029713742434978485,
0.043463751673698425,
-0.0215448010712862,
-0.012572997249662876,
0.009494055062532425,
0.00790391769260168,
0.038319192826747894,
0.02159157022833824,
-0.03233279287815094,
0.009306980296969414,
-0.04639459401369095,
0.034265898168087006,
-0.01223002653568983,
0.03192746266722679,
-0.004267647862434387,
-0.029807278886437416,
0.002426128601655364,
-0.013212170451879501,
-0.004863949492573738,
0.02882513590157032,
-0.055218297988176346,
-0.03295637667179108,
0.007521972991526127,
0.02040676213800907,
-0.014576258137822151,
-0.046425774693489075,
-0.024148261174559593,
-0.01156746968626976,
-0.02318170666694641,
0.022714020684361458,
-0.004661284852772951,
0.060955263674259186,
-0.016914695501327515,
-0.029651382938027382,
-0.035045377910137177,
-0.03492066264152527,
-0.04549039900302887,
0.031849514693021774,
0.0325198657810688,
0.008792524226009846,
-0.000037847363273613155,
0.015028356574475765,
0.04427441209554672,
0.042091868817806244,
-0.03835036978125572,
-0.030072301626205444,
0.04153064638376236,
-0.017553867772221565,
-0.026751721277832985,
0.041000597178936005,
-0.029651382938027382,
-0.006633366923779249,
0.05082203447818756,
-0.02818596363067627,
0.021700697019696236,
0.032208073884248734,
-0.03548188880085945,
0.04324549809098244,
-0.020500298589468002,
0.020469119772315025,
0.015519428066909313,
0.023415550589561462,
0.030477631837129593,
0.004805488511919975,
-0.04358847066760063,
0.035949572920799255,
-0.0008559654816053808,
0.02159157022833824,
0.05309811234474182,
0.027219409123063087,
-0.034546513110399246,
0.04966840520501137,
-0.03944164142012596,
-0.012643150053918362,
0.02176305651664734,
0.04580219089984894,
-0.037227921187877655,
-0.025753987953066826,
0.03100767731666565,
0.027344126254320145,
-0.0059240409173071384,
-0.0019399285083636642,
-0.02686084806919098,
0.012167667970061302,
-0.004485901910811663,
0.007954583503305912,
-0.03660433739423752,
0.000721018121112138,
-0.0024534102994948626,
0.01056194119155407,
0.0464569516479969,
0.047018177807331085,
0.01375001110136509,
0.021700697019696236,
0.014669796451926231,
-0.016384650021791458,
0.07127556949853897,
0.01830216869711876,
-0.007416743319481611,
0.05075967684388161,
0.00055635318858549,
-0.061048801988363266,
-0.06189063936471939,
0.02792094089090824,
0.007440127898007631,
-0.0013767549535259604,
0.03616783022880554,
-0.05746319517493248,
-0.007864943705499172,
0.006325472611933947,
-0.00956420786678791,
-0.02007937990128994,
0.04361964762210846,
0.027889760211110115,
0.027609148994088173,
0.0447109192609787,
-0.01493481919169426,
-0.07077670097351074,
-0.01998584344983101,
-0.013126427307724953,
-0.10619622468948364,
0.02332201413810253,
-0.03439061716198921,
-0.01981435716152191,
0.04664402827620506,
-0.043370217084884644,
-0.020890038460493088,
-0.0202664565294981,
0.009938358329236507,
0.017039412632584572,
-0.06728463619947433,
-0.0040727779269218445,
0.009946152567863464,
-0.011840286664664745,
-0.01981435716152191,
0.03264458477497101,
-0.04817180708050728,
-0.016649672761559486,
0.017132949084043503,
-0.03788268193602562,
-0.02467830665409565,
-0.024428874254226685,
0.013118633069097996,
0.026252854615449905,
-0.025114815682172775,
-0.026065779849886894,
-0.0017343409126624465,
-0.058305032551288605,
0.009727898985147476,
-0.011832492426037788,
0.013866933062672615,
0.009205647744238377,
-0.02905897982418537,
0.025785166770219803,
0.016680851578712463,
-0.01808391511440277,
-0.0023462320677936077,
-0.028716009110212326,
-0.06070582941174507,
0.005931835621595383,
-0.012822430580854416,
0.04817180708050728,
-0.023758521303534508,
0.009969537146389484,
0.04318314045667648,
0.01944020763039589,
-0.01152070052921772,
-0.03937928378582001,
0.01243269070982933,
-0.04368200525641441,
0.009525233879685402,
-0.0035797576420009136,
-0.049980197101831436,
-0.0038915493059903383,
0.02918369695544243,
-0.057619091123342514,
0.0250836368650198,
0.034172363579273224,
-0.006305985618382692,
0.04832770302891731,
-0.03429707884788513,
0.009618771262466908,
0.0320521779358387,
0.02276078797876835,
-0.012362537905573845,
-0.021092703565955162,
0.005768144968897104,
0.0015229072887450457,
-0.01470877043902874,
-0.03136623650789261,
0.028716009110212326,
0.005062716547399759,
-0.07788554579019547,
-0.0029659178107976913,
0.04003404453396797,
-0.018567191436886787,
-0.01247945986688137,
-0.009681129828095436,
-0.06129823252558708,
-0.007245257962495089,
-0.023602625355124474,
0.0010737323900684714,
0.046020444482564926,
0.017460331320762634,
0.029620204120874405,
0.003677192609757185,
-0.03311227262020111,
0.004252058453857899,
0.0026443826500326395,
0.0308361928910017,
0.01766299642622471,
0.012120899744331837,
0.01884780451655388,
-0.043744366616010666,
0.016462597995996475,
0.02631521411240101,
0.03582485765218735,
-0.012089719995856285,
0.055249474942684174,
0.002544999122619629,
-0.005963014904409647,
0.0011136807734146714,
0.03411000221967697,
0.04156182333827019,
0.007042593322694302,
-0.002437820890918374,
0.028622470796108246,
-0.033673495054244995,
-0.010569736361503601,
-0.04280899092555046,
0.038007400929927826,
0.014482720755040646,
-0.04071998596191406,
-0.010296918451786041,
-0.012463870458304882,
-0.02043794095516205,
-0.03161567077040672,
-0.019377849996089935,
-0.010078663937747478,
0.036136649549007416,
0.038007400929927826,
-0.027422074228525162,
-0.0366978757083416,
-0.042185407131910324,
0.03373585268855095,
0.009805846959352493,
0.002441718243062496,
0.01640024036169052,
0.05169505253434181,
0.036947306245565414,
-0.00734269293025136,
0.008270272985100746,
-0.028482165187597275,
0.031989820301532745,
-0.05044788494706154,
0.0472676120698452,
-0.008192325010895729,
-0.007572639267891645,
-0.010242355056107044,
0.028949853032827377,
-0.03810093551874161,
-0.029542256146669388,
-0.008371605537831783,
0.02799888886511326,
-0.03136623650789261,
0.0025820243172347546,
0.022558124735951424,
0.010554146952927113,
0.032488688826560974,
0.007171207573264837,
0.061454128473997116,
0.031257111579179764,
0.029199285432696342,
0.005160151515156031,
0.0011906542349606752,
-0.06129823252558708,
0.016150806099176407,
0.013414834626019001,
-0.02427297830581665,
-0.010281329043209553,
-0.010476198978722095,
0.021435674279928207,
-0.038818057626485825,
0.03242632746696472,
0.0024709487333893776,
-0.016540545970201492,
-0.021482443436980247,
-0.010741221718490124,
0.05708904564380646,
0.014973793178796768,
-0.01081137452274561,
0.03944164142012596,
-0.005234201904386282,
0.003002943005412817,
0.0430896021425724,
-0.008722370490431786,
0.0012988069793209434,
0.0371655635535717,
0.03513891622424126,
-0.03167802840471268,
0.003601193195208907,
-0.004637900274246931,
0.007974070496857166,
-0.00023238219728227705,
-0.032270435243844986,
0.01716412976384163,
0.013321297243237495,
0.039815790951251984,
0.014506105333566666,
-0.001078604138456285,
0.012853609398007393,
-0.02799888886511326,
0.0033108373172581196,
0.04427441209554672,
0.03551306575536728,
0.02368057332932949,
-0.03022819757461548,
-0.00552260922268033,
0.018910162150859833,
0.021045934408903122,
0.014693180099129677,
-0.006808749865740538,
-0.04224776476621628,
-0.03610546886920929,
-0.022168384864926338,
0.0037804734893143177,
0.016493776813149452,
0.0012812686618417501,
0.03616783022880554,
0.03339288383722305,
0.005495327524840832,
0.02076532319188118,
0.007962378673255444,
-0.02017291821539402,
0.017242077738046646,
-0.04673756659030914,
-0.009969537146389484,
0.016337880864739418,
0.00810658186674118,
-0.010803580284118652,
-0.0026619210839271545,
-0.002825611736625433,
0.011302446946501732,
-0.005405687261372805,
-0.012947147712111473,
-0.0217162873595953,
0.017912428826093674,
0.01368765253573656,
0.040688809007406235,
-0.013446014374494553,
-0.020157327875494957,
-0.007276437245309353,
0.05827385559678078,
-0.004559952765703201,
-0.04842124134302139,
-0.005795426666736603,
0.00967333558946848,
0.03513891622424126,
-0.008192325010895729,
0.031225930899381638,
0.03573131933808327,
0.06603746861219406,
0.019642872735857964,
0.0025800757575780153,
0.044461484998464584,
-0.0278741717338562,
0.03657315671443939,
0.07582772523164749,
-0.0240391343832016,
-0.04193597286939621,
-0.03788268193602562,
0.0477352999150753,
-0.009696719236671925,
0.011427163146436214,
0.023898828774690628,
0.009306980296969414,
-0.05178859084844589,
-0.06301308423280716,
0.0027086897753179073,
-0.05259924754500389,
-0.06859415769577026,
-0.016727620735764503,
0.02918369695544243,
-0.024070313200354576,
-0.004922410473227501,
0.007019209209829569,
-0.024335335940122604,
0.00039412410114891827,
-0.013165401294827461,
0.020702963694930077,
0.030539989471435547,
-0.010016306303441525,
-0.06560096144676208,
-0.002092901384457946,
0.06307544559240341,
0.006076039280742407,
-0.008808113634586334,
0.05546773225069046,
-0.0358872152864933,
0.03273811936378479,
0.00910431519150734,
-0.022791968658566475,
-0.005417379550635815,
-0.028061246499419212,
0.04240366071462631,
-0.018598370254039764,
-0.008932829834520817,
0.05627838894724846,
-0.007689561229199171,
0.005729170981794596,
-0.05013609305024147,
-0.04411851614713669,
0.014576258137822151,
-0.05811795964837074,
0.009782462380826473,
-0.05805560201406479,
0.05141443759202957,
0.013360271230340004,
-0.01839570514857769,
-0.02718823030591011,
0.007315411232411861,
0.06214006990194321,
-0.005900656338781118,
-0.04786001518368721,
-0.037321459501981735,
-0.04452384263277054,
-0.04430558905005455,
0.0413435697555542,
-0.0019808511715382338,
-0.04280899092555046,
-0.023010222241282463,
0.03819447383284569,
0.054844148457050323,
-0.0039500100538134575,
-0.012674329802393913,
0.02344673126935959,
-0.0023403859231621027,
0.01666526310145855,
-0.020983576774597168,
-0.0055420962162315845,
0.019689641892910004,
0.0055420962162315845,
-0.05852328985929489,
-0.014092981815338135,
-0.023415550589561462,
-0.00719459168612957,
-0.017288845032453537,
-0.014272261410951614,
-0.015457069501280785,
0.06058111414313316,
0.011349215172231197,
-0.03339288383722305,
0.011692185886204243,
-0.008831498213112354,
-0.021872183308005333,
-0.019876716658473015,
0.01252622902393341,
-0.031724799424409866,
0.002026645466685295,
0.01872308738529682,
-0.004252058453857899,
0.009470670484006405,
-0.018832214176654816,
0.020843271166086197,
-0.08150233328342438,
-0.019455797970294952,
-0.0015618811594322324,
0.005842195823788643,
-0.020921219140291214,
0.022121615707874298,
-0.02076532319188118,
-0.02754678949713707,
0.008964009582996368,
-0.021373316645622253,
-0.0009913999820128083,
-0.05066613852977753,
-0.013773394748568535,
0.016680851578712463,
0.0012013721279799938,
0.010873733088374138,
0.005214714910835028,
0.03448415547609329,
-0.025036867707967758,
0.009875999763607979,
0.015963731333613396,
0.004817180801182985,
-0.0173044353723526,
0.05057260021567345,
0.002798329805955291,
0.008192325010895729,
-0.024288568645715714,
-0.09740370512008667,
-0.008488527499139309,
0.008597654290497303,
0.02221515402197838,
-0.0043533905409276485,
0.017132949084043503,
-0.03816329687833786,
0.0274064838886261,
0.01998584344983101,
0.01127126719802618,
-0.011738955043256283,
-0.015332353301346302,
0.021513622254133224,
-0.04312078282237053,
0.0013182939728721976,
-0.040377017110586166,
0.023836469277739525,
0.02737530507147312,
-0.022823147475719452,
-0.0692177414894104,
-0.028154784813523293,
0.07507942616939545,
-0.010850348509848118,
-0.02204366773366928,
0.02290109544992447,
-0.056122492998838425,
-0.0631689801812172,
0.006454086862504482,
0.01761622726917267,
0.009766872972249985,
0.01590137369930744,
0.0040415991097688675,
-0.023119349032640457,
-0.012830225750803947,
-0.04885774850845337,
0.010897117666900158,
-0.013352476060390472,
-0.0042754425667226315,
0.006937363650649786,
-0.025520144030451775,
-0.013555141165852547,
0.015542812645435333,
0.00935374852269888,
-0.02614372782409191,
-0.008995188400149345,
-0.02149803191423416,
-0.010975065641105175,
-0.017928019165992737,
0.0010103997774422169,
0.022979043424129486,
0.003283555619418621,
0.006220242939889431,
0.014280056580901146,
-0.0026424340903759003,
-0.013243349269032478,
-0.03641726076602936,
0.030805012211203575,
0.01616639643907547,
-0.003137403167784214,
0.01367985736578703,
0.04832770302891731,
-0.009548618458211422,
-0.08611685037612915,
0.004641797859221697,
-0.001413780148141086,
-0.001442036242224276,
-0.025333069264888763,
0.04452384263277054,
-0.04620751738548279,
-0.00823909416794777,
-0.03314344957470894,
0.005413481965661049,
-0.02463153935968876,
0.04065762832760811,
-0.007974070496857166,
0.07869620621204376,
-0.00015297277423087507,
0.029168106615543365,
-0.01944020763039589,
0.0658503919839859,
-0.000765350996516645,
0.010281329043209553,
0.013079659081995487,
0.002546947915107012,
0.004867846611887217,
0.026019010692834854,
0.05618485063314438,
-0.07539121806621552,
-0.01588578335940838,
0.012050746008753777,
0.03373585268855095,
0.02290109544992447,
0.00835601519793272,
-0.02804565615952015,
-0.009540824219584465,
0.017382383346557617,
-0.04443030804395676,
0.01593255251646042,
0.026829669252038002,
-0.023696163669228554,
-0.047704119235277176,
-0.07489234954118729,
-0.05546773225069046,
-0.008083198219537735,
-0.061547666788101196,
0.016291111707687378,
0.010725632309913635,
-0.0036304236855357885,
0.04620751738548279,
-0.005343329161405563,
0.006068244576454163,
-0.0354195274412632,
-0.01028912328183651,
0.024117082357406616,
-0.016883516684174538,
0.025239532813429832,
-0.04873303323984146,
0.014264467172324657,
-0.030446453019976616,
-0.016649672761559486,
-0.015815630555152893,
0.014069597236812115,
-0.01884780451655388,
-0.041593004018068314,
0.02650228887796402,
0.051944486796855927,
-0.0028002785984426737,
0.030493220314383507,
-0.0459892638027668,
0.02157597988843918,
-0.02453800104558468,
0.021186241880059242,
0.009283595718443394,
-0.014880255796015263,
0.014451541937887669,
0.024787435308098793,
-0.023758521303534508,
0.03676023334264755,
0.012409307062625885,
0.0010747067863121629,
0.05733847990632057,
-0.018380116671323776,
-0.012510638684034348,
0.033081091940402985,
0.03339288383722305,
-0.03816329687833786,
0.026611415669322014,
0.038412727415561676,
0.005132869817316532,
0.009992921724915504,
-0.02955784648656845,
-0.016914695501327515,
0.028341859579086304,
0.00269894627854228,
0.0026463314425200224,
0.04511624947190285,
0.008231298997998238,
0.017725354060530663,
-0.005916246213018894,
-0.004832770209759474,
0.04224776476621628,
0.055623628199100494,
-0.006255319342017174,
0.023696163669228554,
-0.013866933062672615,
-0.0010347585193812847,
-0.012876993976533413,
-0.03738381713628769,
0.05708904564380646,
0.006500855553895235,
-0.009236826561391354,
0.04231012240052223,
-0.004715848248451948,
0.022012488916516304,
-0.0018756214994937181,
-0.020500298589468002,
-0.02135772630572319,
-0.06940481811761856,
0.03994050621986389,
0.006321575026959181,
0.058897439390420914,
0.040377017110586166,
0.057899706065654755,
-0.02230869047343731,
0.0002686766965780407,
0.027110282331705093,
-0.01967405155301094,
-0.0038486779667437077,
0.006574905943125486,
-0.022293101996183395,
0.03610546886920929,
-0.003152992809191346,
0.03292519599199295,
-0.027250587940216064,
0.0007775303674861789,
0.02887190505862236,
-0.034764766693115234,
-0.061765920370817184,
0.045240964740514755,
-0.03127270191907883,
0.01894134096801281,
-0.007732432335615158,
0.007405051030218601,
0.0032562739215791225,
0.033579956740140915,
0.015527223236858845,
0.01780330203473568,
-0.010452814400196075,
0.009416107088327408,
-0.022620482370257378,
0.0599263496696949,
0.029682563617825508,
0.04739232733845711,
-0.021466853097081184,
-0.014046212658286095,
0.017086181789636612,
0.0021708491258323193,
-0.005144561640918255,
0.004669079557061195,
0.005222509615123272,
0.014202108606696129,
0.0379762202501297,
-0.01318099070340395,
-0.005393994972109795,
0.016228754073381424,
-0.05150797590613365,
-0.032083358615636826,
-0.01844247430562973,
0.008114377036690712,
-0.011505111120641232,
0.025333069264888763,
-0.017055001109838486,
0.011785723268985748,
-0.019144006073474884,
-0.021045934408903122,
0.026081370189785957,
0.012495049275457859,
-0.0021396700758486986,
0.01825539954006672,
-0.05989517271518707,
-0.009751283563673496,
0.003084788331761956,
0.04112531617283821,
-0.005705786868929863,
-0.0477352999150753,
-0.04477327689528465,
-0.01972082071006298,
-0.010156611911952496,
-0.06884358823299408,
0.01318099070340395,
-0.027266178280115128,
0.03255104646086693,
0.028217142447829247,
0.010499582625925541,
0.009330364875495434,
-0.02226192131638527,
-0.03361113741993904,
-0.042185407131910324,
0.0034472462721168995,
-0.03348642215132713,
0.018691908568143845,
0.04103177785873413,
-0.026081370189785957,
-0.014396978542208672,
-0.04667520523071289,
-0.0003366375167388469,
-0.029479898512363434,
-0.02159157022833824,
0.003597295843064785,
0.00961097702383995,
-0.007486896589398384,
0.005101690534502268,
0.029698152095079422,
0.007108849007636309,
0.030119070783257484,
-0.016556136310100555,
-0.05774381011724472,
0.026969974860548973,
-0.028450986370444298,
0.007607715670019388,
-0.03700966760516167,
-0.02121742069721222,
-0.010351481847465038,
-0.03432825952768326,
0.026798490434885025,
-0.030851781368255615,
0.2873471677303314,
0.03601193428039551,
0.023961186408996582,
-0.022230742499232292,
-0.016774389892816544,
0.02695438638329506,
0.027172639966011047,
-0.03710320219397545,
0.019642872735857964,
-0.009260211139917374,
0.03326816484332085,
0.05549890920519829,
0.00983702577650547,
0.009595387615263462,
0.004937999881803989,
0.04025229811668396,
-0.0293240025639534,
-0.022277511656284332,
-0.009696719236671925,
-0.03261340409517288,
-0.021373316645622253,
0.010413840413093567,
-0.01934667117893696,
0.0066645462065935135,
-0.0049925632774829865,
0.014170929789543152,
0.054532356560230255,
0.0035719629377126694,
0.002229310106486082,
-0.0001846391096478328,
-0.016384650021791458,
-0.018411295488476753,
-0.013274528086185455,
-0.03909866884350777,
-0.008363810367882252,
-0.036947306245565414,
-0.0029970970936119556,
-0.039316922426223755,
0.020500298589468002,
0.021887771785259247,
-0.005339431576430798,
0.03404764458537102,
-0.06101762130856514,
0.002424179809167981,
-0.007689561229199171,
-0.004528773482888937,
-0.008168940432369709,
0.012806841172277927,
0.00015553043340332806,
-0.005725273862481117,
0.041187673807144165,
-0.0421542264521122,
0.010195585899055004,
-0.06809528917074203,
-0.0016154703916981816,
-0.03760207071900368,
0.02249576523900032,
-0.03548188880085945,
-0.0012286538258194923,
-0.0028314576484262943,
0.030805012211203575,
-0.01375001110136509,
0.0069880299270153046,
0.006543726660311222,
-0.008324836380779743,
0.03423472121357918,
-0.021513622254133224,
-0.005861682817339897,
-0.034078825265169144,
-0.02896544151008129,
-0.040688809007406235,
-0.03738381713628769,
-0.007518075406551361,
0.025099225342273712,
0.07557828724384308,
-0.0315844900906086,
0.02868483029305935,
0.04857713729143143,
0.013820163905620575,
0.02190336212515831,
-0.03529481217265129,
-0.04570865258574486,
-0.037040844559669495,
-0.017881250008940697,
0.05765027180314064,
0.025114815682172775,
-0.007046490907669067,
0.041374750435352325,
0.006496957968920469,
0.0586480051279068,
-0.012027362361550331,
0.012713303789496422,
0.016493776813149452,
0.000067290966399014,
-0.02045353129506111
] |
1213_6 | In Matthew Barney's 2019 movie Redoubt set in the Sawtooth Mountains of the U.S. state of Idaho and an accompanying traveling art exhibition originating at the Yale University Art Gallery the myth is retold by the visual artist and filmmaker via avenues of his own design.
Symphonic poem (1915) by the Romanian composer & conductor Alfred Alessandrescu (1893-1959). | [
-0.04896804690361023,
-0.02613769844174385,
0.024981731548905373,
0.016303950920701027,
-0.01929822750389576,
0.01984409987926483,
-0.015188122168183327,
0.021754655987024307,
-0.006843484938144684,
0.007634198758751154,
0.02809642069041729,
0.009713334031403065,
0.030488628894090652,
-0.03154826536774635,
-0.015485141426324844,
0.0019225978758186102,
-0.06428460776805878,
-0.026555130258202553,
-0.007521812804043293,
0.014578028582036495,
-0.029750095680356026,
-0.0020500351674854755,
-0.04572491720318794,
-0.05474787950515747,
-0.00037127413088455796,
-0.0009623023797757924,
0.0009256767225451767,
0.025623934343457222,
0.06762406975030899,
-0.01863996870815754,
0.0333624929189682,
-0.0021574036218225956,
-0.023472551256418228,
-0.03811480104923248,
0.03085789643228054,
0.006137060932815075,
0.02955743297934532,
-0.033779922872781754,
-0.008131906390190125,
-0.02846568636596203,
0.043284542858600616,
-0.01522825937718153,
0.0029200208373367786,
-0.033426713198423386,
0.02180282212793827,
-0.03641296178102493,
-0.030151473358273506,
-0.040651507675647736,
0.003437797771766782,
0.006851512938737869,
0.008573422208428383,
-0.04347720369696617,
-0.013614722527563572,
-0.01346219889819622,
-0.01325348298996687,
-0.01595073938369751,
-0.047201987355947495,
0.016600970178842545,
0.029316607862710953,
0.047201987355947495,
0.01759638637304306,
0.004784418735653162,
0.03371570259332657,
-0.04848639294505119,
0.004399096593260765,
0.018993180245161057,
0.029300551861524582,
-0.001389769371598959,
0.01814226061105728,
-0.005221920553594828,
0.006823416333645582,
0.025142282247543335,
0.006044744048267603,
-0.008709889836609364,
-0.027357885614037514,
0.004126159939914942,
-0.04842217266559601,
-0.0284817423671484,
0.00528212683275342,
-0.018206480890512466,
0.04264233633875847,
0.011045906692743301,
0.006951856892555952,
0.02339227683842182,
-0.0113670090213418,
-0.017307395115494728,
-0.028915230184793472,
0.06910113990306854,
0.014473670162260532,
-0.0007009053369984031,
0.0306010153144598,
0.0554543063044548,
0.030135417357087135,
-0.01695418171584606,
-0.004700129851698875,
0.01957116276025772,
-0.00911929551512003,
-0.01313306950032711,
0.01931428164243698,
-0.011246595531702042,
0.026346415281295776,
0.02692439779639244,
0.005346347577869892,
0.016873907297849655,
-0.0245482437312603,
0.0025086088571697474,
-0.04832584410905838,
-0.04630289971828461,
0.020823460072278976,
-0.06987178325653076,
0.011712193489074707,
-0.011527559719979763,
0.02888312004506588,
-0.029445048421621323,
-0.0278395377099514,
0.020181257277727127,
-0.033940475434064865,
0.01325348298996687,
-0.027373939752578735,
-0.008774111047387123,
-0.001106798299588263,
0.04411940649151802,
-0.011102099902927876,
0.015316562727093697,
-0.013325730338692665,
-0.05240383744239807,
-0.0006863554008305073,
0.037087272852659225,
-0.026603296399116516,
-0.0039676157757639885,
0.0006417021504603326,
-0.0798901617527008,
-0.018174370750784874,
0.034454237669706345,
-0.008533284068107605,
-0.007276972755789757,
0.011182375252246857,
-0.020165201276540756,
0.008565394207835197,
-0.033683594316244125,
0.017371615394949913,
-0.005422608926892281,
0.035642314702272415,
0.1050003319978714,
-0.03792214021086693,
0.010010353289544582,
0.027502382174134254,
0.025029895827174187,
-0.07783511281013489,
0.01680968701839447,
-0.03493589162826538,
0.03965609148144722,
0.0006216333131305873,
0.0103073725476861,
-0.026587240397930145,
0.007955300621688366,
0.020422084257006645,
-0.02230053022503853,
-0.012258066795766354,
0.01011471077799797,
-0.002205569064244628,
0.01010668370872736,
-0.020133091136813164,
0.03975242003798485,
-0.00466400571167469,
0.03280056267976761,
-0.013020684011280537,
-0.02258952148258686,
-0.03190147876739502,
-0.006112978328019381,
0.059949733316898346,
0.011399119161069393,
-0.06168368458747864,
-0.00978558138012886,
0.025784486904740334,
0.03072945587337017,
0.05372035503387451,
-0.051119428128004074,
-0.0026250083465129137,
0.01292435359209776,
-0.0114232013002038,
0.014457615092396736,
0.07160573452711105,
0.02875467948615551,
-0.023729434236884117,
-0.027775317430496216,
-0.013285593129694462,
0.023199616000056267,
-0.06158735230565071,
0.04964236170053482,
0.0008900544489733875,
0.02689228765666485,
0.03769736737012863,
0.030023030936717987,
-0.013574584387242794,
0.049032267183065414,
-0.05169741436839104,
-0.0692937970161438,
0.0007019087788648903,
-0.024965675547719002,
-0.004427193198353052,
0.00038758007576689124,
0.007381330709904432,
-0.012964490801095963,
-0.027341829612851143,
-0.011310815811157227,
0.052981819957494736,
0.0773855671286583,
-0.017756937071681023,
0.017660606652498245,
0.026747791096568108,
-0.024484023451805115,
0.010604391805827618,
-0.0029300551395863295,
0.03869278356432915,
0.044312067329883575,
-0.03058495931327343,
0.05288549140095711,
0.015565416775643826,
0.0006030696094967425,
-0.0036123967729508877,
0.026972563937306404,
-0.0029079795349389315,
0.062165334820747375,
0.017355559393763542,
-0.009721361100673676,
0.044183626770973206,
0.036316629499197006,
-0.030135417357087135,
-0.015436976216733456,
0.007433509919792414,
-0.025559714064002037,
0.0046800607815384865,
0.00925576314330101,
-0.007927204482257366,
0.006594631355255842,
-0.012506920844316483,
0.0005835024639964104,
0.009753471240401268,
-0.030552849173545837,
0.00761011615395546,
-0.033523041754961014,
0.04453684017062187,
0.036830391734838486,
0.020004650577902794,
0.03978453204035759,
-0.020550524815917015,
-0.05160108208656311,
0.015396838076412678,
0.00931998435407877,
-0.023472551256418228,
-0.017098678275942802,
-0.02112850733101368,
-0.009496590122580528,
-0.04977080225944519,
-0.0015754064079374075,
0.021353278309106827,
0.005446691531687975,
-0.009889939799904823,
-0.02864229306578636,
0.0018252638401463628,
0.02350466139614582,
0.05474787950515747,
-0.03390836343169212,
0.012755774892866611,
0.007561950944364071,
0.0010114711476489902,
0.05551852658390999,
-0.0044954270124435425,
-0.036316629499197006,
-0.006020661443471909,
-0.02785559371113777,
-0.02533494308590889,
0.006277543026953936,
-0.002530684694647789,
0.003732810029760003,
0.07982594519853592,
-0.014080320484936237,
0.02323172613978386,
-0.008621587418019772,
0.03403680771589279,
0.0024002371355891228,
-0.05410567671060562,
0.023825764656066895,
0.027903757989406586,
-0.007999451830983162,
-0.01083719078451395,
0.02769504301249981,
-0.0041943942196667194,
-0.001431913929991424,
0.019378501921892166,
-0.01187274418771267,
-0.02075923979282379,
-0.011142237111926079,
-0.019378501921892166,
-0.006951856892555952,
-0.043123990297317505,
-0.04871116578578949,
0.03333038091659546,
-0.04723409563302994,
0.013943851925432682,
-0.014144540764391422,
-0.0422891266644001,
0.014762661419808865,
-0.022091813385486603,
0.00401979498565197,
-0.005679490510374308,
-0.015404866077005863,
-0.024997785687446594,
0.0023018994834274054,
-0.03503222018480301,
0.05352769419550896,
0.029990920796990395,
0.025174392387270927,
-0.019474832341074944,
0.016649136319756508,
0.0403946228325367,
0.021626215428113937,
-0.015982849523425102,
-0.02968587540090084,
0.01827070116996765,
-0.022027593106031418,
-0.011631918139755726,
0.000826837494969368,
-0.03837168216705322,
0.08027548342943192,
0.015870463103055954,
-0.043123990297317505,
-0.028385411947965622,
-0.05725247785449028,
0.010010353289544582,
-0.006895664148032665,
-0.022348694503307343,
0.02994275651872158,
-0.0266675166785717,
0.021706491708755493,
-0.011190402321517467,
0.010580308735370636,
-0.019009234383702278,
0.0012472803937271237,
0.04084416851401329,
-0.057445138692855835,
-0.0006778261158615351,
0.02205970324575901,
-0.02689228765666485,
0.07488097250461578,
0.008485118858516216,
0.015308534726500511,
-0.005193823948502541,
0.0042666420340538025,
-0.007850942201912403,
0.026619350537657738,
0.0000050211374400532804,
-0.0207271296530962,
-0.0032330951653420925,
0.051665302366018295,
-0.0009281852981075644,
0.008372733369469643,
-0.020919792354106903,
0.005916303489357233,
-0.018736299127340317,
0.018945014104247093,
0.02337622083723545,
0.030039086937904358,
-0.006887636613100767,
-0.06653232127428055,
-0.06967911869287491,
0.020791349932551384,
0.064605712890625,
-0.08297274261713028,
-0.0030203652568161488,
0.015123901888728142,
-0.014883074909448624,
-0.006285570561885834,
0.017805103212594986,
0.002590891206637025,
0.01786932349205017,
-0.0024544228799641132,
-0.00482455687597394,
-0.016472529619932175,
-0.029428992420434952,
0.009352094493806362,
-0.006566534750163555,
0.059917621314525604,
0.028401466086506844,
0.017146844416856766,
-0.04177536442875862,
-0.031034503132104874,
-0.041935913264751434,
-0.027020728215575218,
-0.0031026476062834263,
-0.05564696714282036,
0.03731204569339752,
-0.0196674931794405,
-0.01444958709180355,
-0.03193358704447746,
0.05330292135477066,
0.017371615394949913,
0.0035702523309737444,
-0.0008980819839052856,
0.03609185665845871,
0.00466400571167469,
0.03824324160814285,
0.04254600778222084,
-0.027470272034406662,
0.0016717369435355067,
-0.015260369516909122,
0.01680968701839447,
0.012916325591504574,
-0.005458733066916466,
0.034743230789899826,
-0.0005915299989283085,
-0.039591871201992035,
-0.003983670845627785,
-0.023729434236884117,
0.03490377962589264,
-0.031853314489126205,
0.010411730036139488,
-0.00765025382861495,
0.040234073996543884,
0.0023480579257011414,
-0.012779857032001019,
-0.019731715321540833,
0.022750072181224823,
0.008878468535840511,
-0.025045951828360558,
-0.020036760717630386,
-0.07963328063488007,
0.005418595392256975,
0.015356700867414474,
0.0005368423298932612,
-0.028979450464248657,
-0.03058495931327343,
-0.007798763457685709,
-0.07301858067512512,
0.010821135714650154,
0.022107869386672974,
-0.011013796553015709,
0.009279846213757992,
-0.0401698537170887,
0.01589454710483551,
0.0015723960241302848,
0.03007119707763195,
-0.018977124243974686,
-0.030135417357087135,
-0.058215782046318054,
0.023697324097156525,
0.03045651875436306,
0.049417588859796524,
-0.0009628041298128664,
-0.04415151849389076,
-0.031034503132104874,
-0.018206480890512466,
-0.0017791053978726268,
-0.026683570817112923,
0.01615142822265625,
-0.0036164105404168367,
-0.011969074606895447,
0.0018001777352765203,
0.0032371089328080416,
0.024243196472525597,
0.004607812967151403,
0.02008492685854435,
0.005498870741575956,
-0.02308722957968712,
0.019346391782164574,
-0.005225934088230133,
-0.015717940405011177,
0.020293643698096275,
0.027149168774485588,
0.009600948542356491,
-0.014931240119040012,
-0.052339617162942886,
-0.009729389101266861,
0.01167205534875393,
-0.03371570259332657,
0.019587218761444092,
0.0004475358291529119,
-0.03927076607942581,
-0.012844077311456203,
0.0166812464594841,
0.02087162621319294,
0.014867019839584827,
0.031692761927843094,
-0.008733972907066345,
-0.03509644418954849,
0.027775317430496216,
0.013967934064567089,
-0.049802910536527634,
-0.0007244862499646842,
-0.017259228974580765,
0.01995648629963398,
0.044312067329883575,
-0.012828022241592407,
-0.02467668429017067,
0.02808036468923092,
-0.07513785362243652,
-0.00331537751480937,
0.015717940405011177,
-0.020518414676189423,
-0.005061369389295578,
-0.019330337643623352,
-0.02334411069750786,
-0.0036344726104289293,
0.0013125041732564569,
0.004692102316766977,
-0.03180514648556709,
-0.052211176604032516,
-0.0057838489301502705,
0.013542474247515202,
-0.01732344925403595,
-0.05892220512032509,
-0.009311956353485584,
0.002618987811729312,
-0.012097516097128391,
0.00482455687597394,
0.017275284975767136,
0.014345229603350163,
-0.002384181832894683,
0.012298204004764557,
-0.027630822733044624,
-0.008846358396112919,
0.006843484938144684,
0.07488097250461578,
-0.012041322886943817,
0.01227412186563015,
-0.04437628760933876,
0.028417522087693214,
-0.01444958709180355,
-0.058215782046318054,
-0.0005328285624273121,
-0.042481787502765656,
-0.012964490801095963,
-0.034068915992975235,
-0.008184085600078106,
0.014072292484343052,
-0.0014640241861343384,
0.0020851558074355125,
0.020839516073465347,
0.03180514648556709,
-0.05869743600487709,
-0.03641296178102493,
0.047330427914857864,
-0.02414686605334282,
-0.03898177668452263,
-0.004900818224996328,
0.013767246156930923,
0.025238612666726112,
-0.05539008602499962,
0.00017597891564946622,
0.028256971389055252,
0.039591871201992035,
0.03647718206048012,
-0.03535332530736923,
-0.014064265415072441,
-0.011431229300796986,
-0.024467967450618744,
-0.012266093865036964,
0.02088768221437931,
0.0010149831650778651,
0.009006909094750881,
-0.027518436312675476,
-0.0357065349817276,
-0.05632128193974495,
0.0027213389985263348,
-0.01852758228778839,
0.02336016669869423,
-0.03862856328487396,
0.038403794169425964,
-0.02796798013150692,
-0.004519509617239237,
0.039045996963977814,
0.03058495931327343,
0.023841818794608116,
-0.01253100298345089,
-0.030167527496814728,
-0.042995549738407135,
-0.017355559393763542,
-0.018302811309695244,
0.05182585492730141,
-0.009006909094750881,
-0.048390064388513565,
-0.02194731868803501,
-0.02798403427004814,
0.041935913264751434,
0.0013526419643312693,
0.031580377370119095,
0.051922183483839035,
-0.013189262710511684,
0.012370452284812927,
-0.03323405236005783,
-0.004051905125379562,
0.01692207157611847,
-0.022091813385486603,
-0.05898642539978027,
0.001627585501410067,
-0.004603798966854811,
0.03509644418954849,
-0.011262650601565838,
-0.01928217150270939,
-0.031018447130918503,
0.015509223565459251,
0.024516133591532707,
-0.03772947937250137,
0.017692716792225838,
-0.018078038468956947,
-0.029461102560162544,
-0.045371703803539276,
0.04919281601905823,
0.022894568741321564,
-0.0088704414665699,
0.03528910502791405,
0.0002794590254779905,
0.008806221187114716,
0.031195053830742836,
0.030039086937904358,
-0.009311956353485584,
-0.009865857660770416,
0.042321234941482544,
0.008308513090014458,
-0.022252364084124565,
-0.0005584163591265678,
0.04029829427599907,
-0.020823460072278976,
-0.012233983725309372,
-0.04370197281241417,
-0.01522023230791092,
0.02756660245358944,
-0.05005979165434837,
-0.00423453189432621,
-0.007112408056855202,
-0.018078038468956947,
0.00970530603080988,
0.04315610229969025,
0.021738601848483086,
0.014891102910041809,
0.0025326914619654417,
-0.011961047537624836,
-0.026587240397930145,
0.06659654527902603,
-0.008348650299012661,
-0.007497730199247599,
-0.06129835918545723,
-0.044568948447704315,
-0.047073543071746826,
-0.056128621101379395,
0.030520739033818245,
0.005025245249271393,
-0.0022156033664941788,
-0.0224289707839489,
0.03451845794916153,
0.035899195820093155,
0.10185353457927704,
0.005069396924227476,
0.006751168519258499,
-0.01620762050151825,
-0.01953905262053013,
-0.04148637130856514,
0.0015723960241302848,
0.032880838960409164,
0.03007119707763195,
0.003564231563359499,
-0.08008282631635666,
-0.025832651183009148,
0.04309188202023506,
0.02798403427004814,
0.0035963417030870914,
0.02597714774310589,
-0.0006191246793605387,
-0.03490377962589264,
0.0074455514550209045,
-0.015942711383104324,
-0.0044512758031487465,
0.0189129039645195,
-0.0026551117189228535,
-0.019234007224440575,
-0.03345882147550583,
-0.0099862702190876,
-0.004607812967151403,
0.017564276233315468,
0.0365414023399353,
0.025447329506278038,
-0.009336039423942566,
0.005924331024289131,
0.050091903656721115,
-0.002332002855837345,
-0.018318865448236465,
0.008549339137971401,
0.016729410737752914,
0.013406005688011646,
0.001029533101245761,
0.033940475434064865,
0.015244314447045326,
-0.0002270291151944548,
-0.020052816718816757,
0.01732344925403595,
-0.008549339137971401,
0.022878512740135193,
-0.0050292592495679855,
0.010355537757277489,
0.03177303820848465,
0.04200013354420662,
0.024259252473711967,
0.00937617663294077,
-0.012844077311456203,
-0.10307372361421585,
0.01957116276025772,
-0.015669774264097214,
-0.013943851925432682,
0.0295413788408041,
-0.008461035788059235,
-0.0266675166785717,
0.016761520877480507,
-0.02374548837542534,
0.017435835674405098,
0.05156897380948067,
-0.01195301953703165,
0.01233031414449215,
-0.009713334031403065,
0.04389463737607002,
0.03856434300541878,
-0.02597714774310589,
-0.004407124128192663,
0.0207271296530962,
-0.00879016611725092,
-0.001527241081930697,
0.019378501921892166,
-0.02127300389111042,
-0.009914022870361805,
0.01345417182892561,
-0.03267212212085724,
-0.03387625515460968,
0.0008348650299012661,
-0.020518414676189423,
0.020695019513368607,
0.005157699808478355,
-0.03573864698410034,
0.0035582107957452536,
-0.008645669557154179,
-0.017098678275942802,
0.045885466039180756,
-0.025896871462464333,
0.014192705973982811,
0.04794051870703697,
-0.07661492377519608,
0.006121005862951279,
-0.013301648199558258,
-0.07372500747442245,
-0.07192683219909668,
0.032912950962781906,
-0.031034503132104874,
0.01096563134342432,
0.0071204355917871,
-0.02494962140917778,
-0.017387669533491135,
-0.023424386978149414,
0.017371615394949913,
0.0006286574061959982,
0.007734543178230524,
-0.0012302218237891793,
0.05365613475441933,
-0.06614699959754944,
-0.02798403427004814,
0.012298204004764557,
-0.007682363968342543,
-0.05420200899243355,
-0.020036760717630386,
-0.003273232840001583,
0.050091903656721115,
0.02467668429017067,
0.012844077311456203,
-0.03097028285264969,
-0.043412983417510986,
-0.05397723615169525,
0.0047081573866307735,
0.003475928446277976,
0.04533959552645683,
0.02400236949324608,
0.03246340528130531,
-0.008846358396112919,
0.03297717124223709,
0.05420200899243355,
0.031018447130918503,
0.051793742924928665,
0.006442107725888491,
-0.03766525909304619,
0.04052306339144707,
0.02955743297934532,
0.0008875458152033389,
0.03159642964601517,
0.01836703158915043,
0.033137720078229904,
0.004888777155429125,
-0.03798636049032211,
-0.00826837494969368,
0.04241756722331047,
-0.0012091494863852859,
-0.0019547080155462027,
-0.012996600940823555,
0.04110104963183403,
-0.006923760753124952,
-0.011126182042062283,
0.032511573284864426,
0.09600947797298431,
0.030938172712922096,
-0.03426157683134079,
-0.019603272899985313,
0.02756660245358944,
-0.0012643388472497463,
0.03122716397047043,
-0.019266117364168167,
0.036027636379003525,
0.010475951246917248,
-0.013743163086473942,
0.019651439040899277,
0.012595223262906075,
0.02771109715104103,
0.01902529038488865,
-0.02771109715104103,
-0.02180282212793827,
-0.04216068610548973,
0.03949553892016411,
0.061266250908374786,
-0.005189809948205948,
0.020855572074651718,
0.05754146724939346,
0.043926745653152466,
-0.025543659925460815,
0.01089338306337595,
-0.03638084977865219,
0.0312432199716568,
0.0016145406989380717,
0.049802910536527634,
0.027117058634757996,
0.051119428128004074,
-0.0005343336961232126,
-0.01836703158915043,
-0.015565416775643826,
0.028963394463062286,
0.007433509919792414,
-0.026458799839019775,
0.04806895926594734,
0.002079135039821267,
-0.035770755261182785,
0.026844121515750885,
0.016617026180028915,
-0.03190147876739502,
-0.0033715704921633005,
0.06878003478050232,
0.0019085496896877885,
0.006245432887226343,
0.0267799012362957,
-0.009295901283621788,
0.02689228765666485,
0.008356678299605846,
0.0459175780415535,
-0.05856899544596672,
-0.0031026476062834263,
0.048229511827230453,
0.008276402950286865,
-0.008236264809966087,
0.004142215009778738,
-0.021305114030838013,
-0.042578116059303284,
-0.00561125623062253,
-0.039463430643081665,
0.006963898427784443,
-0.007200710941106081,
-0.03939920663833618,
0.02350466139614582,
-0.008806221187114716,
0.012225956656038761,
-0.0246606282889843,
0.024451913312077522,
-0.044183626770973206,
0.02965376526117325,
0.02443585731089115,
-0.03580286726355553,
0.02743816189467907,
-0.023312000557780266,
0.004940956365317106,
-0.038917556405067444,
-0.018977124243974686,
-0.015445003286004066,
-0.060046061873435974,
0.03188542276620865,
-0.006815388798713684,
-0.026683570817112923,
0.04135793074965477,
-0.0014108417090028524,
-0.015284452587366104,
-0.003024379024282098,
-0.004242559429258108,
0.020406028255820274,
0.012514947913587093,
0.030552849173545837,
-0.060848817229270935,
-0.010909438133239746,
-0.047330427914857864,
0.011688110418617725,
0.009223653003573418,
0.05792678892612457,
0.0009216628968715668,
0.02665146067738533,
0.02403447963297367,
-0.008525256998836994,
0.026699626818299294,
-0.020550524815917015,
0.051119428128004074,
-0.019522998481988907,
-0.04893593490123749,
-0.014939268119633198,
-0.023312000557780266,
-0.015717940405011177,
-0.024500077590346336,
-0.0038431889843195677,
-0.029380828142166138,
0.002821683418005705,
-0.05359191447496414,
-0.034197356551885605,
-0.03981664031744003,
0.030777622014284134,
0.015581471845507622,
-0.039463430643081665,
-0.06691764295101166,
0.0029501242097467184,
0.016857851296663284,
0.010331454686820507,
-0.018447306007146835,
0.3038908839225769,
0.03528910502791405,
0.08599109947681427,
-0.04161481186747551,
-0.025270722806453705,
0.051247868686914444,
0.03202991932630539,
-0.038532234728336334,
-0.012563113123178482,
-0.021963372826576233,
0.016713356599211693,
0.012972518801689148,
-0.009889939799904823,
0.04241756722331047,
0.019763825461268425,
0.04855061322450638,
0.011784441769123077,
0.010949576273560524,
-0.008123879320919514,
-0.043541423976421356,
-0.0743672102689743,
-0.029734039679169655,
-0.026844121515750885,
-0.014650275930762291,
-0.02127300389111042,
0.04216068610548973,
0.03965609148144722,
-0.02809642069041729,
0.007658281363546848,
-0.05185796320438385,
-0.040619395673274994,
-0.011840634047985077,
0.02955743297934532,
-0.041711144149303436,
-0.034325797110795975,
-0.01228214893490076,
0.024467967450618744,
-0.025174392387270927,
0.0032130263280123472,
-0.0009502610773779452,
-0.0016205613501369953,
-0.022412914782762527,
0.002063079969957471,
-0.011302788741886616,
-0.0001843827631091699,
0.034871671348810196,
-0.008444980718195438,
-0.029091836884617805,
0.04951392114162445,
0.013799356296658516,
0.050990987569093704,
-0.02283034846186638,
0.0041101048700511456,
-0.00018212500435765833,
-0.03962397947907448,
0.00308659253641963,
0.020422084257006645,
-0.049578141421079636,
0.027229445055127144,
-0.017227118834853172,
0.016119318082928658,
0.000026340394470025785,
-0.02310328558087349,
-0.029252387583255768,
-0.0018804532010108232,
0.05160108208656311,
0.009713334031403065,
0.018688132986426353,
-0.049449700862169266,
-0.07276169955730438,
0.026105588302016258,
-0.04607813060283661,
-0.033298272639513016,
0.029621655121445656,
0.007309082895517349,
0.03763314709067345,
0.0089266337454319,
0.021465664729475975,
-0.030552849173545837,
-0.0021935277618467808,
-0.006125019397586584,
-0.036188188940286636,
-0.028401466086506844,
0.011302788741886616,
0.02429136261343956,
0.014915185049176216,
-0.020293643698096275,
0.01633606106042862,
-0.004499441012740135,
0.05917908623814583,
0.012651416473090649,
0.006835457403212786,
0.022107869386672974,
0.008348650299012661,
-0.029974866658449173
] |
1213_7 | Royal House of Thebes family tree
Solid lines indicate descendants.
Dashed lines indicate marriages.
Dotted lines indicate extra-marital relationships or adoptions.
Kings of Thebes are numbered with bold names and a light purple background.
Joint rules are indicated by a number and lowercase letter, for example, 5a. Amphion shared the throne with 5b. Zethus.
Regents of Thebes are alphanumbered (format AN) with bold names and a light red background.
The number N refers to the regency preceding the reign of the Nth king. Generally this means the regent served the Nth king but not always, as Creon (A9) was serving as regent to Laodamas (the 10th King) when he was slain by Lycus II (the usurping 9th king).
The letter A refers to the regency sequence. "A" is the first regent, "B" is the second, etc.
Deities have a yellow background color and italic names.
Notes
ReferencesThe Oxford Classical Dictionary, s.v. "Actaeon".
Ovid, Metamorphoses, 3.138ff.
Euripides, Bacchae'', 337–340.
Diodorus Siculus, 4.81.4.
External links
The Warburg Institute Iconographic Database: ca 230 images of Actaeon
Actaeon by Fabio F. Centamore
Deaths due to dog attacks
Mythological Greek archers
Metamorphoses characters
Metamorphoses into animals in Greek mythology
Characters in Greek mythology
Deeds of Artemis
Deeds of Zeus
Dogs in art | [
0.027705781161785126,
-0.026989908888936043,
0.05961540713906288,
-0.008270609192550182,
0.00030819635139778256,
0.004729326348751783,
-0.0007363393669947982,
0.004489433020353317,
0.05894522741436958,
0.0018172875279560685,
-0.005361426621675491,
-0.02977724000811577,
-0.02718791551887989,
0.03491019830107689,
-0.050659388303756714,
0.0350625105202198,
-0.03049311228096485,
-0.020440438762307167,
-0.07207462936639786,
-0.030630195513367653,
0.009451037272810936,
0.03947959467768669,
-0.07895918935537338,
-0.02636542357504368,
0.008163990452885628,
0.07499904185533524,
0.004249539691954851,
-0.025207843631505966,
0.0019895918667316437,
0.017561716958880424,
-0.0058335973881185055,
-0.004268578719347715,
0.056112200021743774,
-0.031650692224502563,
-0.021080153062939644,
0.010494383051991463,
0.006252458784729242,
-0.06025512143969536,
0.00990036129951477,
-0.04581582546234131,
0.05562479794025421,
-0.03308243677020073,
-0.021902645006775856,
-0.014797232113778591,
-0.04334834963083267,
0.029274607077240944,
-0.015764420852065086,
-0.05230436846613884,
-0.03582407534122467,
-0.07140444964170456,
-0.044201306998729706,
-0.011568191461265087,
0.02820841409265995,
-0.02613695338368416,
0.011857586912810802,
-0.011172177270054817,
0.009511962532997131,
-0.011987052857875824,
0.009146410971879959,
0.023105919361114502,
0.037925999611616135,
-0.03424001857638359,
0.023395314812660217,
-0.05315732583403587,
-0.026106491684913635,
0.008209683932363987,
0.03676841780543327,
-0.020653676241636276,
0.05324871093034744,
-0.0005311924614943564,
0.027690548449754715,
0.06025512143969536,
-0.0011099828407168388,
-0.003360411152243614,
-0.06348416209220886,
-0.010471535846590996,
0.004066763911396265,
-0.009542425163090229,
0.023395314812660217,
0.007828901521861553,
0.010387763381004333,
0.030645426362752914,
-0.021689407527446747,
-0.05108586326241493,
-0.011682426556944847,
-0.007425270974636078,
-0.012230753898620605,
0.03424001857638359,
-0.005871675908565521,
0.0142717519775033,
0.013989971950650215,
0.04289141297340393,
0.02159801870584488,
0.025878021493554115,
-0.0018696452025324106,
0.03500158339738846,
-0.026868056505918503,
0.056355901062488556,
0.020973535254597664,
0.05233483389019966,
0.017668336629867554,
-0.0018096717540174723,
-0.00682744150981307,
-0.015627339482307434,
-0.036433327943086624,
-0.0036631335970014334,
0.00007068286504363641,
0.03880941495299339,
0.042586784809827805,
-0.025680014863610268,
0.03993653506040573,
0.0034879734739661217,
0.04618137702345848,
-0.016861077398061752,
-0.00608110660687089,
0.03932728245854378,
-0.03609824180603027,
-0.011012247763574123,
-0.06811448931694031,
0.011476803570985794,
-0.0005007298314012587,
0.032930124551057816,
0.017363710328936577,
0.003120517823845148,
-0.02435488812625408,
0.004455162677913904,
0.02569524571299553,
-0.016175666823983192,
-0.06579932570457458,
0.007242495194077492,
-0.032473184168338776,
0.018582217395305634,
-0.022664211690425873,
-0.01541410107165575,
-0.006758900359272957,
0.03582407534122467,
0.016084279865026474,
0.008590467274188995,
-0.0006701783277094364,
-0.05586849898099899,
0.027126990258693695,
-0.0021000190172344446,
-0.03993653506040573,
0.0662258043885231,
-0.002296122256666422,
-0.016982927918434143,
0.02504029870033264,
0.036128703504800797,
-0.05483277142047882,
0.002429396379739046,
-0.03682934492826462,
-0.00038625687011517584,
-0.01318271178752184,
0.021978802978992462,
-0.015002855099737644,
0.004554165992885828,
0.023593323305249214,
-0.009451037272810936,
-0.0028539695776998997,
0.0033965855836868286,
-0.03366122767329216,
-0.047125719487667084,
0.06762707978487015,
0.03399631753563881,
-0.004744557663798332,
0.023943642154335976,
0.0061801099218428135,
-0.028711047023534775,
0.03244272246956825,
-0.02616741694509983,
0.008902709931135178,
0.0027054641395807266,
-0.007493812125176191,
-0.00602398905903101,
0.01739417389035225,
0.04587675258517265,
-0.03399631753563881,
-0.030325567349791527,
0.003362315008416772,
-0.01865837350487709,
0.034179095178842545,
0.01716570369899273,
-0.02080599032342434,
-0.0025874213315546513,
0.0016345115145668387,
0.01456114649772644,
-0.01204797811806202,
-0.022770831361413002,
-0.05312686040997505,
0.007448118180036545,
0.009131179191172123,
0.04718664661049843,
0.04575490206480026,
0.03026464208960533,
-0.0004298089479561895,
0.013731039129197598,
-0.0443231575191021,
0.0066408575512468815,
0.011842355132102966,
0.013974741101264954,
-0.03335660323500633,
0.024293962866067886,
-0.031681157648563385,
0.029274607077240944,
0.026319729164242744,
0.016114741563796997,
0.025283999741077423,
0.04730849713087082,
-0.03195532038807869,
0.015886271372437477,
0.010585770942270756,
-0.02513168565928936,
-0.011621501296758652,
0.03954051807522774,
0.004443739075213671,
-0.016434600576758385,
-0.0052890777587890625,
0.03609824180603027,
-0.06269213557243347,
0.026091258972883224,
0.002467474667355418,
0.043165575712919235,
-0.030965283513069153,
0.05940216779708862,
-0.028954748064279556,
-0.0488925538957119,
0.06549470126628876,
0.004074379336088896,
-0.03923589363694191,
0.0347883477807045,
0.021217236295342445,
0.034300945699214935,
0.027842862531542778,
0.027233609929680824,
-0.019694102928042412,
0.05187789350748062,
-0.02264898084104061,
0.014850541949272156,
-0.025329694151878357,
0.01478200126439333,
-0.017257090657949448,
-0.010616233572363853,
0.04286094754934311,
-0.004980643279850483,
0.01899346150457859,
0.020090118050575256,
0.010958937928080559,
0.010425842367112637,
0.010707621462643147,
0.007368153426796198,
0.003655517939478159,
0.07707050442695618,
0.007779399398714304,
-0.007170146331191063,
-0.03000571019947529,
0.02796471305191517,
0.03128514066338539,
0.006058259401470423,
-0.0023418162018060684,
-0.07055149972438812,
-0.01545979455113411,
-0.04185568168759346,
0.036890268325805664,
-0.04118550196290016,
-0.003505108645185828,
0.04572443664073944,
0.04937995597720146,
0.03253411129117012,
0.017805419862270355,
-0.08096972107887268,
-0.038017388433218,
-0.04334834963083267,
-0.06244843453168869,
0.000542615947779268,
-0.015010470524430275,
0.004915910307317972,
0.05790949612855911,
-0.03402677923440933,
0.01855175383388996,
-0.042007993906736374,
-0.005209113005548716,
0.03944913297891617,
-0.08608745038509369,
-0.0022485244553536177,
-0.022588055580854416,
0.00926826149225235,
0.007295804563909769,
-0.010342069901525974,
-0.010966554284095764,
0.006400964222848415,
-0.07250110805034637,
-0.008049755357205868,
-0.05699561908841133,
-0.06713967770338058,
0.041124578565359116,
-0.0023932219482958317,
0.01684584468603134,
0.014599225483834743,
0.033722154796123505,
-0.09766325354576111,
-0.03539760038256645,
-0.02193310856819153,
0.0033927776385098696,
0.01507139578461647,
-0.03740813583135605,
-0.026928981766104698,
0.045907214283943176,
-0.0012137462617829442,
-0.0122916791588068,
0.012984704226255417,
-0.02059275098145008,
0.008575236424803734,
-0.02354762889444828,
0.017668336629867554,
-0.026928981766104698,
0.02865012176334858,
-0.005685091949999332,
0.061016689985990524,
-0.0436529777944088,
-0.05041568726301193,
-0.022359585389494896,
-0.014812463894486427,
0.024050261825323105,
-0.00685028824955225,
0.005422351881861687,
0.008948403410613537,
0.0270660649985075,
-0.0255886260420084,
0.05629497766494751,
0.0034746460150927305,
-0.024491971358656883,
-0.02603033371269703,
-0.040332548320293427,
-0.012070825323462486,
-0.026578662917017937,
0.00452370336279273,
-0.010364917106926441,
-0.052030205726623535,
0.038931265473365784,
0.002593133132904768,
0.01704385317862034,
-0.02890905551612377,
0.00875801220536232,
0.008674239739775658,
-0.0377432219684124,
-0.026639588177204132,
0.03914450481534004,
-0.015612108632922173,
-0.03859617933630943,
0.015627339482307434,
-0.04569397494196892,
0.025055529549717903,
0.01635844260454178,
0.017790187150239944,
0.03125467896461487,
-0.0012270736042410135,
-0.006671320181339979,
-0.01832328364253044,
-0.006221996154636145,
-0.010958937928080559,
0.016327980905771255,
0.00659135589376092,
-0.015086627565324306,
0.021796025335788727,
0.002271371427923441,
-0.08456431329250336,
0.0010604809504002333,
-0.0010728564811870456,
0.05471092090010643,
-0.012718155980110168,
0.057848572731018066,
0.032138094305992126,
-0.013159864582121372,
0.0012280255323275924,
-0.026350192725658417,
0.013220789842307568,
0.019648408517241478,
-0.02537538670003414,
0.0707952007651329,
-0.05982864648103714,
-0.013586342334747314,
0.04992828518152237,
0.011849970556795597,
-0.012939010746777058,
0.004953988362103701,
0.039510056376457214,
0.02502506785094738,
0.011103635653853416,
0.009580503217875957,
-0.022679442539811134,
0.027005139738321304,
0.018627909943461418,
-0.005856444593518972,
-0.040423937141895294,
-0.015284635126590729,
0.008697086945176125,
-0.002410357119515538,
0.03594592586159706,
0.004241923801600933,
-0.019526557996869087,
0.025999872013926506,
0.021232467144727707,
-0.015596876852214336,
0.00045860567479394376,
-0.009725200943648815,
0.020851684734225273,
-0.021339086815714836,
0.025436311960220337,
0.02045566961169243,
-0.05324871093034744,
-0.020090118050575256,
-0.009626197628676891,
-0.0021342893596738577,
0.007059718947857618,
0.037469059228897095,
0.008742780424654484,
-0.09102240204811096,
-0.0285435039550066,
-0.009709970094263554,
0.0488925538957119,
-0.011255948804318905,
-0.025299230590462685,
0.01855175383388996,
0.04334834963083267,
0.0218264888972044,
-0.00801167730242014,
0.004870216362178326,
-0.02526876889169216,
0.022100653499364853,
0.056142665445804596,
-0.013761501759290695,
0.023608554154634476,
-0.00044289836660027504,
-0.00628292141482234,
0.010905629023909569,
0.028513040393590927,
0.038261089473962784,
-0.03466649726033211,
-0.013784348964691162,
0.02037951350212097,
0.012040362693369389,
0.016571681946516037,
-0.0011214063270017505,
-0.0038820840418338776,
-0.005449006333947182,
0.015977660194039345,
0.007486196234822273,
0.020866915583610535,
-0.06190010532736778,
0.013974741101264954,
0.032016243785619736,
-0.05239575728774071,
-0.0350625105202198,
-0.0004726470506284386,
0.015079012140631676,
-0.02525353617966175,
0.007071142550557852,
0.032686423510313034,
-0.0029853396117687225,
-0.021339086815714836,
0.01541410107165575,
0.018353747203946114,
-0.009062638506293297,
-0.015109474770724773,
0.00040006026392802596,
0.06059021130204201,
-0.03795646131038666,
0.019496096298098564,
0.008103065192699432,
-0.003979183733463287,
-0.04130735248327255,
-0.018125277012586594,
0.04746080935001373,
-0.030995747074484825,
-0.008933172561228275,
-0.003960144706070423,
0.023623785004019737,
0.014431680552661419,
-0.016221361234784126,
0.017927270382642746,
0.018368978053331375,
0.03125467896461487,
0.007383384741842747,
0.00916164182126522,
0.008034523576498032,
-0.0014774384908378124,
0.007634701672941446,
-0.00571555458009243,
-0.022374816238880157,
-0.02012057974934578,
-0.019541790708899498,
-0.023501934483647346,
-0.014347908087074757,
-0.024827059358358383,
0.013974741101264954,
-0.04471917077898979,
-0.035885002464056015,
-0.012314526364207268,
0.04435361921787262,
-0.028619660064578056,
0.03993653506040573,
0.01028876006603241,
0.011484418995678425,
0.017805419862270355,
0.026091258972883224,
0.004123881459236145,
-0.06774893403053284,
0.02444627694785595,
-0.015749190002679825,
0.06677412986755371,
0.026746205985546112,
-0.03512343391776085,
0.046668779104948044,
0.008072602562606335,
0.010197372175753117,
0.005704131443053484,
0.06025512143969536,
-0.021217236295342445,
-0.008986481465399265,
0.04913625493645668,
0.006450466345995665,
-0.07487719506025314,
-0.03253411129117012,
0.059524018317461014,
-0.010601001791656017,
0.003727866802364588,
0.0042190770618617535,
0.009420574642717838,
-0.07207462936639786,
-0.05257853493094444,
-0.02398933656513691,
-0.023471472784876823,
-0.069576695561409,
-0.0080269081518054,
-0.0017468426376581192,
-0.002318969229236245,
-0.019130544736981392,
-0.005239575635641813,
0.0002858253428712487,
-0.02685282565653324,
-0.039053115993738174,
0.05961540713906288,
0.0321076326072216,
-0.01291616354137659,
-0.0420384556055069,
-0.007349114399403334,
0.03932728245854378,
0.008194453082978725,
0.01205559354275465,
0.005765056703239679,
0.014682997018098831,
0.03847432881593704,
-0.00806498620659113,
-0.03302151337265968,
-0.029640158638358116,
-0.018125277012586594,
0.015368406660854816,
0.02376086637377739,
-0.002027670154348016,
0.031010977923870087,
0.029259376227855682,
0.00200672703795135,
-0.028832897543907166,
-0.04255632311105728,
0.028482578694820404,
-0.04630322754383087,
-0.020440438762307167,
-0.01018214039504528,
0.0482223741710186,
-0.03832201287150383,
-0.027005139738321304,
0.002037189668044448,
-0.0027454462833702564,
0.04331788793206215,
-0.0010204988066107035,
-0.01874976046383381,
-0.06726153194904327,
-0.0303560309112072,
-0.05483277142047882,
0.02060798369348049,
-0.0033204287756234407,
-0.013357872143387794,
-0.01001459639519453,
0.018292821943759918,
0.0754864439368248,
0.016784919425845146,
0.004847369156777859,
0.05257853493094444,
0.004340927582234144,
-0.0017392269801348448,
-0.05062892287969589,
-0.018216663971543312,
0.0013403566554188728,
-0.0001167338268714957,
-0.036585643887519836,
-0.03902265429496765,
-0.03890080377459526,
0.014705844223499298,
-0.03375261649489403,
-0.021323855966329575,
-0.017028622329235077,
0.0403020866215229,
0.01303039863705635,
-0.006583740469068289,
0.022907912731170654,
-0.022146346047520638,
-0.024293962866067886,
-0.023699941113591194,
0.03283873572945595,
0.01456114649772644,
-0.010905629023909569,
0.05206066742539406,
-0.044079456478357315,
0.009420574642717838,
0.019023925065994263,
0.000607825058978051,
-0.02560385689139366,
-0.03661610558629036,
0.017805419862270355,
0.04870977625250816,
-0.02423303760588169,
0.014462143182754517,
-0.027142221108078957,
-0.04197753220796585,
-0.004409468732774258,
-0.017013389617204666,
0.04557212442159653,
-0.032686423510313034,
-0.00868947058916092,
-0.004588436800986528,
0.04353112727403641,
0.01807958260178566,
0.015520719811320305,
-0.01256584282964468,
-0.026593893766403198,
0.029030906036496162,
-0.004744557663798332,
0.00770324282348156,
0.010243065655231476,
0.02776670642197132,
0.061595477163791656,
-0.0014679189771413803,
-0.010334454476833344,
-0.06074252352118492,
0.012939010746777058,
-0.009283492341637611,
-0.007745128590613604,
0.01809481345117092,
0.04490194469690323,
0.015657803043723106,
-0.005490892566740513,
0.056112200021743774,
0.0030900549609214067,
-0.02309068851172924,
-0.02488798461854458,
0.06305768340826035,
0.008240146562457085,
-0.0014802943915128708,
-0.04733895882964134,
0.027020370587706566,
0.022313890978693962,
-0.017318015918135643,
0.002469378523528576,
0.01832328364253044,
0.008940787985920906,
-0.02534492500126362,
-0.023745635524392128,
-0.02639588713645935,
0.003649806370958686,
-0.03990607336163521,
-0.0007077806512825191,
-0.004874024074524641,
-0.010121215134859085,
0.028863361105322838,
-0.025527700781822205,
0.007470964919775724,
-0.03174208104610443,
0.018627909943461418,
0.029426919296383858,
-0.01820143312215805,
0.04334834963083267,
-0.013677730225026608,
-0.0031719233375042677,
-0.03436186909675598,
0.012977088801562786,
-0.05401027947664261,
0.003453702898696065,
0.003684076713398099,
-0.006343846675008535,
-0.011720504611730576,
-0.03570222482085228,
0.017561716958880424,
0.05154280364513397,
-0.030782507732510567,
0.03244272246956825,
0.0226337481290102,
0.006164878606796265,
0.003832582151517272,
-0.013456875458359718,
0.008171605877578259,
0.03558037430047989,
0.0788373351097107,
0.010905629023909569,
0.012862853705883026,
0.010623848997056484,
-0.04937995597720146,
-0.01626705564558506,
0.039053115993738174,
0.03105667233467102,
-0.07597384601831436,
0.03253411129117012,
-0.027492541819810867,
0.0200139619410038,
-0.04450593143701553,
-0.003564130049198866,
-0.03978422284126282,
0.031437456607818604,
-0.05008059740066528,
0.03521482273936272,
0.0015088531654328108,
0.0347883477807045,
0.02613695338368416,
-0.007143491413444281,
-0.025680014863610268,
-0.003861140925437212,
0.044292692095041275,
-0.02536015585064888,
0.019937803968787193,
0.031010977923870087,
0.03561083972454071,
-0.029716314747929573,
-0.017424635589122772,
0.003548898734152317,
0.025299230590462685,
-0.010273528285324574,
0.00881132110953331,
0.0021152503322809935,
-0.02386748604476452,
-0.0017230436205863953,
0.0027340229135006666,
0.0071587227284908295,
0.03323475271463394,
-0.02890905551612377,
-0.014751538634300232,
-0.023121152073144913,
-0.030386492609977722,
-0.0031871546525508165,
-0.0707952007651329,
-0.007882210426032543,
0.04106365144252777,
0.0034118168987333775,
0.007231071591377258,
-0.02831503376364708,
0.003400393296033144,
0.021064922213554382,
0.03059973195195198,
-0.004165767226368189,
-0.021658943966031075,
0.03615916520357132,
-0.027462078258395195,
0.023029763251543045,
-0.02592371590435505,
-0.007752744480967522,
0.011964205652475357,
-0.017485560849308968,
-0.018216663971543312,
-0.044170841574668884,
0.03673795610666275,
0.00382306263782084,
-0.013220789842307568,
0.0030005709268152714,
-0.03777368739247322,
-0.025101223960518837,
-0.03491019830107689,
0.027340227738022804,
0.0022542360238730907,
-0.024933679029345512,
-0.028177950531244278,
0.020303355529904366,
-0.03999745845794678,
-0.008323919028043747,
0.0064428504556417465,
0.010700006037950516,
0.04901440441608429,
-0.011499650776386261,
-0.019861647859215736,
0.015505488961935043,
0.07585199922323227,
0.00904740672558546,
0.02560385689139366,
0.055442024022340775,
0.011827124282717705,
-0.015444563701748848,
-0.01832328364253044,
0.016084279865026474,
0.006054451689124107,
0.019602715969085693,
-0.00366884539835155,
0.008323919028043747,
0.014568762853741646,
0.014005203731358051,
-0.0029225104954093695,
-0.028482578694820404,
0.012664847075939178,
-0.020425206050276756,
0.031346067786216736,
0.0027111759409308434,
0.04980643466114998,
0.0015088531654328108,
0.048283301293849945,
-0.013197943568229675,
-0.006320999935269356,
-0.0030557846184819937,
-0.026076028123497963,
-0.022572822868824005,
-0.00634003896266222,
-0.010075521655380726,
-0.040423937141895294,
0.02251189760863781,
-0.03320428729057312,
-0.08066509664058685,
0.0260607972741127,
0.02353239804506302,
0.030980514362454414,
-0.04752173274755478,
0.0793856680393219,
-0.0066408575512468815,
0.03597639128565788,
0.045998603105545044,
-0.012999936006963253,
0.019846417009830475,
-0.022313890978693962,
0.017576949670910835,
0.02615218423306942,
0.05638636648654938,
0.004733134061098099,
-0.03676841780543327,
0.01581011526286602,
0.005144380033016205,
-0.013639651238918304,
-0.023699941113591194,
0.037012118846178055,
-0.01730278506875038,
-0.055442024022340775,
-0.012535380199551582,
0.01593196578323841,
0.015376023016870022,
0.0364028662443161,
0.019039155915379524,
-0.019023925065994263,
0.009610965847969055,
0.008278225548565388,
0.023029763251543045,
-0.0004086278786417097,
0.005079647060483694,
0.008491463959217072,
0.025619089603424072,
0.002551246900111437,
0.019876878708600998,
0.019008694216609,
0.008834168314933777,
-0.023791329935193062,
-0.009999364614486694,
-0.017485560849308968,
0.03820016235113144,
-0.04219077154994011,
-0.004375197924673557,
0.037012118846178055,
-0.025771401822566986,
-0.043957605957984924,
0.004318080842494965,
-0.016967695206403732,
-0.059889569878578186,
0.01455353107303381,
-0.009732816368341446,
-0.004230500664561987,
0.03128514066338539,
0.0018020560964941978,
0.0037335786037147045,
-0.009466268122196198,
-0.008103065192699432,
0.019008694216609,
-0.05154280364513397,
-0.02025766298174858,
-0.01256584282964468,
0.04036301001906395,
-0.051695115864276886,
-0.061351776123046875,
-0.036555178463459015,
-0.044749632477760315,
0.0021933107636868954,
0.01490385178476572,
0.0009314907365478575,
-0.015444563701748848,
0.022146346047520638,
0.03740813583135605,
0.02694421447813511,
-0.039388205856084824,
-0.007261534221470356,
0.015764420852065086,
-0.051451414823532104,
0.04027162492275238,
-0.05367518961429596,
-0.03941866755485535,
0.021445706486701965,
-0.012139366008341312,
-0.010441073216497898,
-0.046242304146289825,
0.006743669044226408,
-0.0077603599056601524,
0.04548073559999466,
0.05696515738964081,
-0.025421081110835075,
-0.040545787662267685,
-0.003476549871265888,
0.026654819026589394,
0.004066763911396265,
0.027340227738022804,
-0.030736813321709633,
-0.05379704013466835,
0.023623785004019737,
-0.03548898920416832,
0.004405660554766655,
-0.037012118846178055,
0.033965855836868286,
-0.008750395849347115,
-0.03356983885169029,
0.0707952007651329,
-0.04310464859008789,
0.2756260633468628,
0.07231833040714264,
0.022770831361413002,
0.01626705564558506,
-0.04249539598822594,
0.04115504026412964,
0.03335660323500633,
0.019709333777427673,
0.015886271372437477,
-0.02660912461578846,
0.019252395257353783,
0.010562923736870289,
-0.012436376884579659,
0.027233609929680824,
0.01393666211515665,
0.04410991817712784,
-0.0038554291240870953,
0.009245414286851883,
0.013525417074561119,
-0.040332548320293427,
-0.013586342334747314,
-0.011415878310799599,
0.003567937994375825,
0.009138794615864754,
-0.030660657212138176,
0.015992891043424606,
0.05535063520073891,
0.004409468732774258,
-0.01878022402524948,
-0.01012883149087429,
-0.03353937715291977,
-0.0384134016931057,
-0.009656660258769989,
0.011415878310799599,
-0.00966427568346262,
-0.008453384973108768,
-0.015497873537242413,
-0.04846607521176338,
-0.015322713181376457,
-0.003764041233807802,
-0.02831503376364708,
0.0436529777944088,
-0.016449831426143646,
-0.055898964405059814,
-0.0021590404212474823,
-0.018795454874634743,
-0.02829980105161667,
-0.00014374562306329608,
-0.010425842367112637,
-0.010052674449980259,
0.022694675251841545,
-0.02264898084104061,
0.01989211142063141,
-0.0573611706495285,
-0.018110046163201332,
0.01807958260178566,
0.028741510584950447,
-0.0341181680560112,
-0.02967062033712864,
0.009839436039328575,
0.01874976046383381,
0.022831756621599197,
-0.024080725386738777,
0.005452814511954784,
0.004557974170893431,
0.07231833040714264,
0.008788474835455418,
0.014766769483685493,
-0.009923208504915237,
-0.026243573054671288,
0.013875736854970455,
-0.018368978053331375,
0.006876943167299032,
-0.028863361105322838,
0.0728057324886322,
-0.029822934418916702,
-0.020440438762307167,
-0.010928475297987461,
0.05334009975194931,
-0.0027987558860331774,
-0.0511772520840168,
-0.06263121217489243,
-0.0534619502723217,
-0.026974676176905632,
0.0188716109842062,
0.003874468384310603,
-0.004340927582234144,
-0.028497809544205666,
-0.028177950531244278,
0.056447289884090424,
-0.0018077678978443146,
0.022131115198135376,
0.027157451957464218,
0.009709970094263554,
-0.02730976603925228
] |
1214_0 | Anglicanism is a Western Christian tradition that has developed from the practices, liturgy, and identity of the Church of England following the English Reformation, in the context of the Protestant Reformation in Europe. It is one of the largest branches of Christianity, with around 110 million adherents worldwide .
Adherents of Anglicanism are called Anglicans; they are also called Episcopalians in some countries. The majority of Anglicans are members of national or regional ecclesiastical provinces of the international Anglican Communion, which forms the third-largest Christian communion in the world, after the Roman Catholic Church and the Eastern Orthodox Church. These provinces are in full communion with the See of Canterbury and thus with the British Monarch’s personal choice of the Archbishop of Canterbury, whom the communion refers to as its primus inter pares (Latin, 'first among equals'). The Archbishop calls the decennial Lambeth Conference, chairs the meeting of primates, and is the president of the Anglican Consultative Council. Some churches that are not part of the Anglican Communion or recognised by it also call themselves Anglican, including those that are within the Continuing Anglican movement and Anglican realignment.
Anglicans base their Christian faith on the Bible, traditions of the apostolic Church, apostolic succession ("historic episcopate"), and the writings of the Church Fathers. Anglicanism forms one of the branches of Western Christianity, having definitively declared its independence from the Holy See at the time of the Elizabethan Religious Settlement. Many of the new Anglican formularies of the mid-16th century corresponded closely to those of contemporary Protestantism. These reforms in the Church of England were understood by one of those most responsible for them, Thomas Cranmer, the Archbishop of Canterbury, and others as navigating a middle way between two of the emerging Protestant traditions, namely Lutheranism and Calvinism. | [
-0.03623633086681366,
-0.0659564808011055,
-0.012363528832793236,
-0.021204080432653427,
-0.008026028983294964,
0.023641027510166168,
0.01341644860804081,
-0.03941495716571808,
0.03883220627903938,
-0.01216486468911171,
-0.005277842748910189,
-0.0456397645175457,
0.01689969189465046,
-0.009125304408371449,
-0.049533579498529434,
-0.06759876757860184,
-0.026713699102401733,
-0.01721755415201187,
-0.04163999482989311,
0.037878621369600296,
0.010006047785282135,
0.03557411581277847,
-0.06245999038219452,
-0.05578487738966942,
0.029985032975673676,
0.02715075947344303,
0.05880457162857056,
0.015535532496869564,
0.015959348529577255,
0.0781412124633789,
-0.0362098403275013,
0.008085628971457481,
0.0013649879256263375,
-0.04177243635058403,
-0.024276752024888992,
-0.021243814378976822,
0.03477945923805237,
-0.0412161760032177,
0.013615112751722336,
-0.04140159860253334,
0.025958774611353874,
-0.04418289288878441,
-0.0310180876404047,
0.010158357210457325,
0.0011712904088199139,
0.017164576798677444,
0.04873892292380333,
0.005900323390960693,
-0.0020859730429947376,
0.019230684265494347,
0.03469999507069588,
-0.002220071153715253,
-0.044235870242118835,
-0.018224120140075684,
-0.001192812342196703,
-0.0193366389721632,
0.03133594989776611,
0.031097551807761192,
0.014899807050824165,
0.009893471375107765,
0.028607629239559174,
-0.0003501454775687307,
0.011211276985704899,
-0.047414496541023254,
-0.02137625589966774,
-0.012793967500329018,
0.007158529479056597,
0.031044576317071915,
0.021508699283003807,
-0.0011025856947526336,
0.012005933560431004,
-0.013668089173734188,
-0.0018128098454326391,
0.0013136663474142551,
0.0000037443526252900483,
-0.023005301132798195,
-0.004072614014148712,
-0.00009177867468679324,
0.04540136829018593,
-0.003056115936487913,
0.04328228533267975,
0.038540832698345184,
-0.004089169204235077,
0.011489407159388065,
-0.041136711835861206,
0.03250144422054291,
-0.031733278185129166,
0.03681907802820206,
-0.018290340900421143,
0.004993090871721506,
0.028475185856223106,
0.030223431065678596,
-0.014992516487836838,
-0.00954912044107914,
0.02926984243094921,
0.019137974828481674,
-0.015522288158535957,
0.03162732347846031,
0.0022233822382986546,
0.00441365409642458,
0.04762640595436096,
0.06097663193941116,
-0.02797190472483635,
0.038620300590991974,
-0.052261900156736374,
0.030382361263036728,
0.00589370122179389,
0.014966028742492199,
0.0002828893775586039,
-0.0667511373758316,
-0.01546931080520153,
0.034382130950689316,
0.030038010329008102,
-0.03244846686720848,
0.03697801008820534,
0.03819648176431656,
-0.048871368169784546,
0.036660145968198776,
-0.021415989845991135,
0.04137510806322098,
-0.012542326003313065,
0.014966028742492199,
0.002900495659559965,
0.015191180631518364,
0.0015578576130792499,
-0.022250378504395485,
-0.02334965392947197,
0.034991368651390076,
-0.04993090778589249,
0.034541063010692596,
0.042487628757953644,
-0.0359184667468071,
-0.035282742232084274,
-0.02258148603141308,
0.0116814486682415,
0.03793159872293472,
0.039997704327106476,
0.04918922856450081,
-0.005353997461497784,
-0.034223202615976334,
0.029852591454982758,
0.01175429206341505,
-0.04050098732113838,
0.062195103615522385,
-0.00414876826107502,
0.03602442145347595,
-0.014860074035823345,
0.0185022484511137,
-0.04346770420670509,
-0.026289882138371468,
0.052420832216739655,
-0.0036686635576188564,
-0.005837413482367992,
0.037640225142240524,
0.008357136510312557,
-0.019084997475147247,
-0.041507549583911896,
-0.009880227968096733,
-0.008476334623992443,
0.010323910973966122,
-0.06860533356666565,
0.0247800350189209,
-0.006708224304020405,
0.022104691714048386,
-0.04291144385933876,
0.00016989918367471546,
-0.000263229914708063,
-0.0058440351858735085,
-0.029614193364977837,
-0.0037117074243724346,
0.004503052681684494,
0.015005760826170444,
-0.023852935060858727,
-0.02137625589966774,
0.003854083362966776,
0.043706100434064865,
-0.0158533938229084,
-0.022568240761756897,
0.004559340886771679,
0.025111140683293343,
-0.012469482608139515,
0.008575666695833206,
0.002339269733056426,
-0.00048631313256919384,
-0.005794369149953127,
0.03289877250790596,
-0.07279052585363388,
-0.007939941249787807,
-0.02607797272503376,
-0.03912358358502388,
0.01781354658305645,
0.02821030095219612,
0.010370265692472458,
0.0495600700378418,
0.035812512040138245,
-0.0014560422860085964,
-0.033402055501937866,
-0.015522288158535957,
-0.055837854743003845,
-0.017402974888682365,
-0.019217438995838165,
0.027654042467474937,
0.017853280529379845,
0.02251526340842247,
-0.002455156994983554,
-0.01348929200321436,
0.06834045052528381,
0.06426121294498444,
-0.024501904845237732,
0.014303814619779587,
0.05451342836022377,
-0.029852591454982758,
-0.0012937999563291669,
0.06966487318277359,
0.03880571946501732,
0.01474087592214346,
-0.053241975605487823,
0.002014785073697567,
-0.04781182482838631,
-0.0412161760032177,
0.0017101666890084743,
0.027627553790807724,
0.0545664057135582,
0.02578659914433956,
-0.010443109087646008,
-0.01789301261305809,
-0.012760857120156288,
0.08227342367172241,
-0.038169994950294495,
-0.0042183008044958115,
-0.024289997294545174,
0.01871415786445141,
0.01659507304430008,
0.02333640865981579,
0.06256594508886337,
-0.0029965166468173265,
-0.025521714240312576,
0.03615686669945717,
-0.0009047493804246187,
0.029057934880256653,
-0.012681391090154648,
0.007794254459440708,
0.04762640595436096,
-0.010363643057644367,
0.0005479817627929151,
0.01834331825375557,
0.012158242054283619,
0.03215709328651428,
-0.0019402860198169947,
0.022409310564398766,
0.04720258712768555,
0.025005187839269638,
0.03782564401626587,
0.040898315608501434,
-0.015217669308185577,
-0.01437003631144762,
0.03737533837556839,
0.03814350441098213,
-0.04836808517575264,
-0.021654386073350906,
-0.011019235476851463,
-0.018091676756739616,
-0.02599850669503212,
-0.0021571610122919083,
-0.005062623415142298,
0.02244904264807701,
0.020263737067580223,
0.003450133139267564,
-0.0002626091009005904,
-0.0620361752808094,
-0.016926180571317673,
-0.019204195588827133,
-0.0143303032964468,
-0.01542957779020071,
-0.0362098403275013,
0.006787689868360758,
0.006771134678274393,
-0.03236900269985199,
0.056897394359111786,
0.01736324094235897,
0.01742946356534958,
0.029455263167619705,
-0.013787288218736649,
-0.008615399710834026,
-0.013601868413388729,
0.0003079293528571725,
-0.03997121378779411,
0.051281824707984924,
0.005211621522903442,
0.04709663242101669,
-0.05541403591632843,
-0.007714788895100355,
-0.011058967560529709,
-0.017098356038331985,
-0.000033265889214817435,
0.01729702018201351,
-0.030382361263036728,
0.01129074301570654,
-0.015323624014854431,
-0.08237937837839127,
0.035521138459444046,
-0.014568700455129147,
-0.024462172761559486,
0.04018312320113182,
0.012820456176996231,
0.05959922820329666,
-0.038011062890291214,
-0.011959578841924667,
0.021694118157029152,
-0.023998621851205826,
-0.05933434143662453,
0.010065647773444653,
0.03215709328651428,
-0.047255564481019974,
-0.04140159860253334,
0.036951519548892975,
0.011549006216228008,
0.0045295413583517075,
-0.02418404258787632,
0.011674826964735985,
-0.03888518363237381,
-0.03912358358502388,
0.007271105889230967,
-0.030991598963737488,
-0.01334360521286726,
0.06118854135274887,
-0.012529081664979458,
-0.041136711835861206,
0.04365312308073044,
0.005714903585612774,
-0.02705805003643036,
-0.048553504049777985,
0.012827077880501747,
-0.008794196881353855,
0.02472705766558647,
-0.030117476359009743,
0.006363872904330492,
0.026038240641355515,
0.021932516247034073,
-0.018436027690768242,
0.012595303356647491,
-0.07252563536167145,
-0.0016447731759399176,
0.0071916403248906136,
-0.04018312320113182,
0.021508699283003807,
-0.007701544556766748,
-0.018290340900421143,
-0.012721124105155468,
-0.012290685437619686,
0.027203736826777458,
0.01197944488376379,
-0.01879362389445305,
0.007615456823259592,
-0.020647821947932243,
0.01866118051111698,
0.008920017629861832,
0.004029570147395134,
-0.024078087881207466,
0.03024991974234581,
0.007549235597252846,
0.036872055381536484,
-0.04322930797934532,
-0.01903202012181282,
0.026859385892748833,
-0.005453329533338547,
-0.0104298647493124,
0.029296331107616425,
0.012476105242967606,
-0.039467934519052505,
0.04232869669795036,
0.00988684967160225,
-0.023098012432456017,
0.01675400510430336,
-0.029958544299006462,
0.0260117519646883,
0.05880457162857056,
-0.012310551479458809,
-0.004390476271510124,
-0.03798457607626915,
0.024157553911209106,
-0.03610388934612274,
0.00721812853589654,
0.017071867361664772,
0.018131408840417862,
-0.0007172601763159037,
-0.03893816098570824,
0.0009560709586367011,
-0.07665785402059555,
-0.04450075700879097,
-0.019310150295495987,
0.03393182530999184,
0.0007756177219562232,
-0.08481632173061371,
-0.01954854652285576,
-0.012648280709981918,
0.030991598963737488,
-0.001530541223473847,
0.009919960051774979,
0.025283316150307655,
0.007959808222949505,
0.02517736330628395,
-0.019389616325497627,
0.01352902501821518,
-0.04510999470949173,
0.027389155700802803,
-0.022700684145092964,
0.07337327301502228,
-0.0003422816807869822,
-0.005423529539257288,
-0.03115052916109562,
0.038408391177654266,
-0.04516297206282616,
0.0026389213744550943,
0.029852591454982758,
0.0011621849844232202,
-0.042646557092666626,
-0.025561446323990822,
0.04140159860253334,
0.038858696818351746,
-0.0166877843439579,
-0.010217956267297268,
0.04156052693724632,
0.059175409376621246,
0.00458914041519165,
-0.008655132725834846,
-0.018926065415143967,
0.01459518913179636,
0.01557526458054781,
-0.020435912534594536,
0.020210759714245796,
-0.032342515885829926,
-0.012760857120156288,
0.0042381673119962215,
-0.00369515223428607,
-0.010330532677471638,
0.017720837146043777,
-0.009449788369238377,
0.0015711018349975348,
-0.07035357505083084,
0.010118624195456505,
0.008357136510312557,
0.00272004259750247,
-0.029084423556923866,
-0.011072211898863316,
0.0010636806255206466,
0.057268235832452774,
0.03146839141845703,
0.00407592486590147,
0.028395721688866615,
0.04857999458909035,
-0.10372914373874664,
0.07369113713502884,
-0.045745719224214554,
-0.01911148615181446,
0.007701544556766748,
0.017720837146043777,
-0.01848900504410267,
0.010707994922995567,
0.0038011062424629927,
-0.0013972708256915212,
0.00549306208267808,
0.00014527312305290252,
-0.016515608876943588,
0.012535704299807549,
0.07724060118198395,
-0.03160083666443825,
-0.005658615380525589,
0.019442591816186905,
0.022316599264740944,
0.025892553851008415,
0.009025972336530685,
-0.015826905146241188,
-0.008860418573021889,
0.028475185856223106,
-0.0612415187060833,
-0.019614767283201218,
0.014767364598810673,
-0.032263047993183136,
-0.027918927371501923,
0.006920132786035538,
-0.003751440206542611,
-0.02366751618683338,
-0.01576068438589573,
0.0028541407082229853,
-0.02781297266483307,
-0.04209030047059059,
0.006257919128984213,
-0.022766904905438423,
-0.03122999519109726,
-0.032554421573877335,
0.01773408055305481,
0.02418404258787632,
-0.01941610313951969,
-0.021283546462655067,
-0.014992516487836838,
0.00021873744844924659,
-0.03432915359735489,
-0.0486859455704689,
0.007648567669093609,
0.05700334906578064,
0.033693429082632065,
-0.01773408055305481,
-0.03350801020860672,
-0.0010727860499173403,
-0.003827594919130206,
-0.07247266173362732,
-0.0017780435737222433,
-0.02055511064827442,
-0.0012101954780519009,
-0.004993090871721506,
0.007310838438570499,
0.03297824040055275,
0.045374877750873566,
-0.0005839896621182561,
0.001989952055737376,
0.013562135398387909,
0.012793967500329018,
-0.007555857766419649,
0.01795923337340355,
0.04153404012322426,
-0.04873892292380333,
0.01638316549360752,
0.02593228593468666,
0.008509445004165173,
0.01636992208659649,
0.05822182446718216,
-0.015191180631518364,
-0.030514804646372795,
-0.053559839725494385,
-0.026859385892748833,
-0.05663251131772995,
-0.053109534084796906,
-0.0060989875346422195,
0.015522288158535957,
-0.0039037493988871574,
0.048712436109781265,
-0.059387318789958954,
-0.035600606352090836,
-0.01818438619375229,
-0.020965684205293655,
-0.0014676309656351805,
-0.025111140683293343,
-0.00019380096637178212,
-0.021786829456686974,
0.006787689868360758,
0.015456066466867924,
0.01858171448111534,
0.01098612416535616,
0.0025776666589081287,
0.0015711018349975348,
-0.002046240260824561,
0.04068640619516373,
-0.0520235039293766,
-0.019230684265494347,
-0.030435338616371155,
-0.024687323719263077,
-0.0010446420637890697,
0.01621099002659321,
0.04068640619516373,
-0.01742946356534958,
0.06012899801135063,
0.011628471314907074,
-0.02834274433553219,
-0.004221612121909857,
-0.0018641314236447215,
-0.02410457655787468,
-0.020449157804250717,
0.044606711715459824,
0.002297881292179227,
0.030647248029708862,
0.04373258724808693,
0.020184271037578583,
0.03618335351347923,
-0.04638144373893738,
-0.04436831548810005,
-0.00029820308554917574,
-0.01076759397983551,
-0.03594495728611946,
0.0020098183304071426,
0.015032249502837658,
-0.00829753652215004,
-0.0030296274926513433,
-0.01065501756966114,
0.0012896610423922539,
0.006986354012042284,
-0.042249228805303574,
0.05239434167742729,
0.0018111543031409383,
-0.023746980354189873,
-0.004267966840416193,
0.04360014572739601,
0.025349538773298264,
-0.042408160865306854,
0.008926640264689922,
-0.0372958704829216,
-0.008867040276527405,
0.006913510616868734,
0.03554762899875641,
-0.06855235993862152,
-0.02842221036553383,
-0.0025561447255313396,
0.04161350429058075,
0.04238167405128479,
-0.010138491168618202,
-0.007151907309889793,
-0.03835541382431984,
-0.025813087821006775,
-0.010085513815283775,
0.001412170589901507,
0.02342911809682846,
0.08619372546672821,
-0.048791900277137756,
0.02578659914433956,
0.015071982517838478,
0.032713353633880615,
-0.02153518795967102,
-0.033402055501937866,
-0.008463090285658836,
-0.006615514401346445,
-0.04100427031517029,
0.024687323719263077,
0.03268686681985855,
-0.04738800972700119,
0.004102413542568684,
0.00209425063803792,
-0.024369461461901665,
0.019429348409175873,
0.029296331107616425,
0.0036421751137822866,
0.04624900221824646,
-0.013032364659011364,
-0.03480594977736473,
0.05843373015522957,
0.012575437314808369,
0.02046240121126175,
-0.038699764758348465,
0.0028839404694736004,
0.004142146557569504,
0.03835541382431984,
0.0002477092784829438,
-0.050301749259233475,
0.00023198171402327716,
-0.007290972396731377,
-0.01080070436000824,
0.014462745748460293,
0.02334965392947197,
0.044527243822813034,
0.0191909521818161,
0.05210296809673309,
0.0019237305968999863,
0.03321663662791252,
0.016184501349925995,
-0.0029269843362271786,
-0.04346770420670509,
-0.013681333512067795,
0.021866293624043465,
-0.030064499005675316,
-0.019614767283201218,
0.045533809810876846,
0.0196280125528574,
0.0006903577013872564,
-0.049771975725889206,
-0.00958885345607996,
0.06272487342357635,
0.0235085841268301,
-0.02599850669503212,
0.03077968955039978,
-0.040739383548498154,
-0.04209030047059059,
-0.01879362389445305,
-0.022713927552103996,
-0.02964068204164505,
-0.012509215623140335,
0.027707017958164215,
-0.015747440978884697,
-0.023773469030857086,
-0.031865719705820084,
-0.0063903615809977055,
-0.011323853395879269,
0.0400506816804409,
-0.04465968906879425,
0.017853280529379845,
-0.03745480254292488,
-0.03133594989776611,
-0.03342854604125023,
-0.0032183583825826645,
-0.04410342872142792,
0.02509789727628231,
-0.02805137075483799,
0.01410515047609806,
-0.043547168374061584,
0.011363586410880089,
-0.02288610301911831,
0.028634117916226387,
-0.01781354658305645,
0.00034786909236572683,
-0.027707017958164215,
0.04010365903377533,
0.03774617612361908,
0.035733047872781754,
0.03427617996931076,
-0.0018988975789397955,
0.006241363473236561,
0.001713477773591876,
-0.04391800984740257,
0.011423185467720032,
0.00020549316832330078,
-0.009747784584760666,
-0.041745949536561966,
-0.06579754501581192,
-0.05769205093383789,
0.011813891120254993,
-0.044765643775463104,
-0.01652885228395462,
-0.008608777076005936,
0.0261574387550354,
0.006986354012042284,
-0.009131926111876965,
0.05451342836022377,
0.031415414065122604,
0.03830243647098541,
0.04661983996629715,
0.025760110467672348,
0.03634228557348251,
-0.008496200665831566,
-0.009350456297397614,
-0.04587816074490547,
0.048182666301727295,
-0.0027812973130494356,
0.026740187779068947,
-0.052738696336746216,
0.04185190051794052,
-0.01924392767250538,
0.030567781999707222,
-0.04360014572739601,
0.01311182975769043,
-0.05101693794131279,
-0.0004668606270570308,
0.012933032587170601,
-0.020634576678276062,
0.02744213305413723,
-0.051811594516038895,
-0.014833585359156132,
-0.012668146751821041,
-0.025150874629616737,
-0.024965453892946243,
-0.062142129987478256,
-0.023773469030857086,
0.014913051389157772,
-0.0009088882361538708,
-0.01289329957216978,
-0.04857999458909035,
-0.011701314710080624,
-0.0038905050605535507,
0.02561442367732525,
-0.0033541121520102024,
-0.004105724394321442,
0.008780952543020248,
-0.00955574307590723,
0.002776330802589655,
0.016873203217983246,
0.0014113428769633174,
0.00844984594732523,
0.003854083362966776,
-0.015972593799233437,
-0.013999196700751781,
0.014012441039085388,
0.03133594989776611,
0.05342739820480347,
0.04850052669644356,
-0.0005964061710983515,
-0.011396696791052818,
0.03252793475985527,
-0.01985316537320614,
0.03321663662791252,
0.029455263167619705,
0.040368542075157166,
0.0017482440453022718,
-0.05175861716270447,
0.027256714180111885,
-0.030223431065678596,
0.036872055381536484,
0.04707014560699463,
-0.06706899404525757,
-0.06685709208250046,
0.06161235645413399,
0.039838772267103195,
-0.033163659274578094,
0.008138605393469334,
0.014303814619779587,
0.026819651946425438,
0.01569446362555027,
-0.013323738239705563,
-0.021058393642306328,
0.019296905025839806,
0.011595360934734344,
-0.0062314304523169994,
0.003539531957358122,
0.0064102280884981155,
0.000565364898648113,
0.032342515885829926,
0.05493724346160889,
0.007363815791904926,
0.0032084251288324594,
-0.0057844361290335655,
0.022634461522102356,
-0.021866293624043465,
0.0013219439424574375,
0.02319072186946869,
-0.054778311401605606,
0.04071289300918579,
-0.03623633086681366,
0.0029617506079375744,
-0.003960037603974342,
-0.019985606893897057,
0.07432685792446136,
-0.03493839129805565,
0.017787057906389236,
-0.023442363366484642,
-0.011608605273067951,
0.010224578902125359,
0.002494890009984374,
-0.019919386133551598,
0.022568240761756897,
0.012025799602270126,
-0.0056255050003528595,
-0.0047050281427800655,
0.014449501410126686,
0.021773584187030792,
-0.03040884993970394,
0.007463147863745689,
0.005046067759394646,
0.019495569169521332,
-0.02038293518126011,
-0.009337211959064007,
-0.017906256020069122,
-0.03594495728611946,
0.004503052681684494,
-0.0436796136200428,
-0.005695037543773651,
0.064579077064991,
-0.018992288038134575,
-0.018065188080072403,
0.0026952095795422792,
0.03538869693875313,
-0.01795923337340355,
0.03782564401626587,
0.02493896521627903,
0.01576068438589573,
-0.012522459961473942,
0.0286606065928936,
-0.021720606833696365,
0.05048716813325882,
0.008052517659962177,
0.014727631583809853,
-0.020727286115288734,
0.013747555203735828,
-0.06447312235832214,
-0.025150874629616737,
-0.05313602089881897,
-0.030064499005675316,
0.029084423556923866,
-0.03054129332304001,
-0.015071982517838478,
-0.027945416048169136,
0.02705805003643036,
0.024991942569613457,
-0.04153404012322426,
0.024700568988919258,
0.011443051509559155,
-0.007555857766419649,
-0.01978694275021553,
0.005277842748910189,
0.020965684205293655,
-0.02319072186946869,
0.05096396058797836,
-0.004258033819496632,
0.03541518375277519,
0.03978579491376877,
-0.01689969189465046,
-0.012694635428488255,
-0.04222274199128151,
-0.018210874870419502,
0.013012497685849667,
0.04709663242101669,
-0.02252850867807865,
0.0065691592171788216,
-0.06500288844108582,
-0.041507549583911896,
0.007694922387599945,
-0.031177017837762833,
0.020343203097581863,
-0.013575379736721516,
0.005930123385041952,
0.01713808998465538,
-0.01304560899734497,
0.02334965392947197,
-0.041348621249198914,
0.023773469030857086,
0.006151964887976646,
-0.002306159120053053,
-0.02553495764732361,
0.00837700255215168,
0.022104691714048386,
-0.016502363607287407,
-0.015548775903880596,
-0.027654042467474937,
0.01212513167411089,
0.013985952362418175,
-0.052950602024793625,
-0.04738800972700119,
-0.021548431366682053,
0.040448009967803955,
-0.025945531204342842,
0.05626166984438896,
0.0425935797393322,
0.029508240520954132,
-0.043547168374061584,
-0.04108373448252678,
0.056897394359111786,
-0.05472533404827118,
-0.013058853335678577,
-0.02805137075483799,
-0.017853280529379845,
0.004562652204185724,
0.04669930785894394,
0.023389386013150215,
-0.03077968955039978,
0.19484974443912506,
0.030965110287070274,
0.0017184444004669785,
0.004602384753525257,
0.03496488183736801,
0.04903029650449753,
0.027627553790807724,
-0.03009098768234253,
0.014621676877140999,
0.012747612781822681,
-0.005304331425577402,
0.010184845887124538,
0.037110451608896255,
-0.036660145968198776,
-0.0017184444004669785,
0.044394802302122116,
-0.011231143027544022,
-0.002024718327447772,
0.03194518759846687,
-0.051970526576042175,
-0.0634135752916336,
-0.03599793463945389,
-0.025270072743296623,
0.04669930785894394,
-0.005211621522903442,
0.012383394874632359,
0.04436831548810005,
-0.0004211264895275235,
0.011542383581399918,
-0.035891979932785034,
-0.02858114056289196,
0.004274589009582996,
0.031494881957769394,
-0.03663365915417671,
-0.03936197981238365,
0.015283890999853611,
0.0109199034050107,
-0.04137510806322098,
0.026952095329761505,
0.033481523394584656,
0.02312450110912323,
-0.008814063854515553,
0.028077857568860054,
-0.012635036371648312,
0.021879538893699646,
0.0853990688920021,
-0.05117587000131607,
-0.006244674790650606,
0.01538984477519989,
-0.005651993211358786,
0.05358632653951645,
-0.02501843124628067,
0.00048051876365207136,
-0.050910983234643936,
-0.030461827293038368,
-0.018012210726737976,
0.03636877238750458,
-0.01364160142838955,
0.032342515885829926,
-0.056367624551057816,
0.03364045172929764,
0.001958496868610382,
0.07946563512086868,
0.015813661739230156,
-0.040606942027807236,
0.027998393401503563,
-0.005993033293634653,
0.054990220814943314,
-0.047123122960329056,
-0.017879769206047058,
-0.03398480266332626,
-0.08603479713201523,
-0.031097551807761192,
-0.01866118051111698,
0.026885874569416046,
-0.019826676696538925,
0.03628930822014809,
0.020568355917930603,
-0.015667974948883057,
-0.05154671147465706,
-0.028899002820253372,
-0.0010487808613106608,
0.04283197969198227,
0.03647472709417343,
0.054407473653554916,
0.04571922868490219,
-0.01713808998465538,
-0.07215479761362076,
-0.0022780150175094604,
0.026130950078368187,
0.02940228581428528,
0.010674883611500263,
-0.025336293503642082,
-0.04717610031366348,
0.011039101518690586
] |
1214_1 | In the first half of the 17th century, the Church of England and its associated Church of Ireland were presented by some Anglican divines as comprising a distinct Christian tradition, with theologies, structures, and forms of worship representing a different kind of middle way, or via media, between Protestantism and Catholicism – a perspective that came to be highly influential in later theories of Anglican identity and expressed in the description of Anglicanism as "catholic and reformed". The degree of distinction between Protestant and Catholic tendencies within the Anglican tradition is routinely a matter of debate both within specific Anglican churches and throughout the Anglican Communion. Unique to Anglicanism is the Book of Common Prayer, the collection of services in one Book used for centuries. The Book is acknowledged as a principal tie that binds the Anglican Communion together as a liturgical rather than a confessional tradition or one possessing a magisterium as in the Roman Catholic Church.
After the American Revolution, Anglican congregations in the United States and British North America (which would later form the basis for the modern country of Canada) were each reconstituted into autonomous churches with their own bishops and self-governing structures; these were known as the American Episcopal Church and the Church of England in the Dominion of Canada. Through the expansion of the British Empire and the activity of Christian missions, this model was adopted as the model for many newly formed churches, especially in Africa, Australasia, and Asia-Pacific. In the 19th century, the term Anglicanism was coined to describe the common religious tradition of these churches; as also that of the Scottish Episcopal Church, which, though originating earlier within the Church of Scotland, had come to be recognised as sharing this common identity.
Terminology
The word Anglican originates in , a phrase from the Magna Carta dated 15 June 1215, meaning "the Anglican Church shall be free". Adherents of Anglicanism are called Anglicans. As an adjective, "Anglican" is used to describe the people, institutions, and churches, as well as the liturgical traditions and theological concepts developed by the Church of England. | [
-0.02555246837437153,
-0.04415168985724449,
0.0190284326672554,
-0.015408739447593689,
0.005944597069174051,
0.04438060149550438,
0.004506734199821949,
-0.07159269601106644,
0.023935766890645027,
0.0029240120202302933,
0.020459143444895744,
-0.024207601323723793,
-0.017984015867114067,
-0.0023052303586155176,
-0.030617179349064827,
-0.06586985290050507,
-0.0317903608083725,
0.007840286940336227,
-0.07525531202554703,
0.040746599435806274,
0.004199131857603788,
0.018012629821896553,
-0.04506734386086464,
-0.05256425961852074,
0.030159352347254753,
0.02716916985809803,
0.06546925753355026,
-0.001995839411392808,
0.04083244130015373,
0.07731553167104721,
-0.01195357646793127,
-0.014721998944878578,
0.0010614074999466538,
-0.049044713377952576,
-0.01877090521156788,
-0.025438010692596436,
0.013212600722908974,
-0.0771438479423523,
-0.004124019294977188,
-0.014836455695331097,
-0.0077329836785793304,
-0.04134749993681908,
-0.018055550754070282,
0.005322238430380821,
-0.017926787957549095,
0.03674061596393585,
0.019300268962979317,
0.005601226817816496,
-0.0005007482250221074,
0.01102361548691988,
0.03791379556059837,
-0.018026936799287796,
-0.0396878756582737,
-0.02233337238430977,
0.023005805909633636,
-0.0065454947762191296,
-0.0013162525137886405,
-0.018799519166350365,
-0.01348443515598774,
0.0007542520761489868,
0.042606521397829056,
0.008627177216112614,
0.0025985257234424353,
-0.05079017952084541,
-0.037141211330890656,
-0.013627505861222744,
-0.010737473145127296,
0.025495240464806557,
0.0023910729214549065,
-0.030216580256819725,
0.01589518040418625,
-0.01951487548649311,
-0.004091828595846891,
-0.024021608754992485,
0.01021526474505663,
-0.05719975754618645,
0.020072851330041885,
-0.022032922133803368,
0.018398921936750412,
0.004245629999786615,
0.02613905817270279,
0.047442320734262466,
-0.02364962548017502,
-0.025380782783031464,
-0.032362643629312515,
0.014750612899661064,
-0.02628212980926037,
0.016696376726031303,
0.006659951526671648,
-0.00444950582459569,
0.028614185750484467,
0.02496587671339512,
-0.014822147786617279,
0.0035106029827147722,
0.04435198754072189,
0.017883867025375366,
-0.05196336284279823,
0.016353007405996323,
0.013799191452562809,
0.023134568706154823,
0.05393774062395096,
0.061863869428634644,
-0.01927165500819683,
0.04480981454253197,
-0.05980364978313446,
0.013949415646493435,
-0.00779021205380559,
0.008870397694408894,
-0.008348188363015652,
-0.06867404282093048,
0.006463229190558195,
0.011703201569616795,
0.03877222165465355,
-0.07096318155527115,
0.013741962611675262,
0.030216580256819725,
-0.04283543676137924,
0.02233337238430977,
-0.029286619275808334,
0.03324968367815018,
-0.023835616186261177,
0.014013797044754028,
-0.016009636223316193,
-0.008877551183104515,
-0.01502244733273983,
0.0031278880778700113,
-0.024951569736003876,
0.01529428269714117,
-0.045095957815647125,
0.055826276540756226,
0.04146195575594902,
-0.02818497270345688,
-0.047098949551582336,
0.004224169068038464,
0.012647470459342003,
0.05179167538881302,
0.023105954751372337,
0.05256425961852074,
-0.0026986754965037107,
-0.04747093468904495,
-0.0030581410974264145,
0.010293953120708466,
-0.05033235251903534,
0.05491062253713608,
0.009614366106688976,
0.006259353365749121,
-0.006738640833646059,
0.020173000171780586,
-0.03985955938696861,
-0.010780394077301025,
0.06930355727672577,
0.0453534834086895,
0.03716982901096344,
0.01638162136077881,
-0.001604182762093842,
-0.002687945030629635,
-0.022791199386119843,
-0.03141837567090988,
-0.03399365395307541,
0.00779021205380559,
-0.046698350459337234,
0.021789701655507088,
0.004968137945979834,
0.02648242935538292,
-0.027870217338204384,
0.02447943575680256,
-0.013148218393325806,
0.0001739205908961594,
-0.020015623420476913,
-0.0067779854871332645,
0.00889901164919138,
0.004281397443264723,
-0.021303260698914528,
0.005064710974693298,
0.01828446425497532,
0.043865546584129333,
0.0006196759641170502,
0.005665608681738377,
0.012947918847203255,
0.03370751067996025,
-0.018212929368019104,
0.0020405491814017296,
0.007911822758615017,
0.0025216250214725733,
0.006448922213166952,
0.02370685338973999,
-0.05448140949010849,
0.0003771260380744934,
-0.005383043549954891,
-0.03908697888255119,
0.01119530014693737,
0.03757042437791824,
-0.02605321630835533,
0.0378565676510334,
0.052850402891635895,
0.006981861311942339,
-0.03877222165465355,
-0.010816162452101707,
-0.03376473858952522,
-0.01151005644351244,
-0.046698350459337234,
0.026253515854477882,
0.0019582833629101515,
0.02854265086352825,
-0.046698350459337234,
-0.02975875325500965,
0.08555641770362854,
0.02415037341415882,
-0.035481590777635574,
0.01678222045302391,
0.018084164708852768,
-0.02488003484904766,
-0.016524692997336388,
0.047671232372522354,
0.022605206817388535,
0.02190415933728218,
-0.026124751195311546,
-0.023349175229668617,
-0.04483842849731445,
-0.04418030381202698,
0.015108290128409863,
0.035681888461112976,
0.011459981091320515,
0.01163166668266058,
-0.02342071197926998,
-0.021718166768550873,
-0.0035177564714103937,
0.12052295356988907,
-0.030216580256819725,
-0.005161283537745476,
-0.03073163516819477,
0.03350721299648285,
0.01941472478210926,
0.019057048484683037,
0.037484582513570786,
-0.020888356491923332,
-0.027483925223350525,
0.043722476810216904,
-0.018942590802907944,
0.031046392396092415,
-0.023034419864416122,
0.007128509227186441,
0.04546794295310974,
0.004610460717231035,
0.012590241618454456,
0.027641303837299347,
0.04398000240325928,
0.045582398772239685,
0.033192455768585205,
0.03774211183190346,
0.04091828688979149,
0.03473762050271034,
0.04160502552986145,
0.023349175229668617,
0.007990511134266853,
0.015251360833644867,
0.04443782940506935,
0.030846092849969864,
-0.013405745849013329,
-0.02395007386803627,
0.013820651918649673,
-0.025838609784841537,
-0.02692594937980175,
-0.016853755339980125,
-0.029243698343634605,
0.008162196725606918,
0.05064710974693298,
-0.006212855223566294,
0.01058724895119667,
-0.027498232200741768,
-0.0030796017963439226,
-0.029815981164574623,
-0.04203423857688904,
0.011467134580016136,
-0.021532174199819565,
0.01273331232368946,
-0.02609613724052906,
-0.053193770349025726,
0.0396878756582737,
-0.007192891091108322,
0.004009563010185957,
0.013906494714319706,
0.008820322342216969,
0.00821942463517189,
-0.008298113942146301,
0.0038986827712506056,
-0.0431215763092041,
0.022404907271265984,
-0.019085662439465523,
0.043579403311014175,
-0.008884704671800137,
-0.007740137167274952,
-0.007014052476733923,
0.0005177379352971911,
0.0004985127598047256,
0.01775510236620903,
-0.02038760669529438,
0.006835213862359524,
-0.031189462170004845,
-0.07548422366380692,
0.014478778466582298,
-0.03176174685359001,
-0.015666266903281212,
0.02878587134182453,
-0.011009307578206062,
0.04263513535261154,
-0.03605387359857559,
-0.01755480282008648,
0.02101711928844452,
-0.011409906670451164,
-0.05253564566373825,
-0.0011454615741968155,
0.023148875683546066,
-0.04501011595129967,
-0.0461546815931797,
0.06501142680644989,
-0.003666192525997758,
0.03619694337248802,
-0.0017481478862464428,
0.017597723752260208,
-0.04921640083193779,
-0.029987666755914688,
0.013963722623884678,
-0.031132234260439873,
-0.009750284254550934,
0.0631801187992096,
0.005340122617781162,
-0.03897251933813095,
0.02283412031829357,
0.0010900216875597835,
-0.026668421924114227,
-0.024837113916873932,
0.0012760137906298041,
-0.0321909599006176,
-0.017597723752260208,
-0.018084164708852768,
-0.0029454727191478014,
-0.002112084534019232,
0.020473450422286987,
-0.005583343096077442,
0.0027934599202126265,
-0.06999029964208603,
-0.04446644335985184,
-0.0070212059654295444,
0.0017964344006031752,
0.0009219133062288165,
-0.0067457943223416805,
-0.011309756897389889,
0.007983357645571232,
-0.011188146658241749,
0.04257790744304657,
0.0173115823417902,
-0.03196204453706741,
0.01485076267272234,
0.018699370324611664,
0.019543489441275597,
0.004109712317585945,
0.004116865806281567,
-0.04400861635804176,
0.03373612463474274,
0.032992154359817505,
0.03991679102182388,
-0.036311402916908264,
-0.025480931624770164,
0.03905836492776871,
-0.008956240490078926,
-0.026668421924114227,
0.0025484508369117975,
0.010129421949386597,
-0.029529839754104614,
0.03459455072879791,
0.022404907271265984,
-0.007250119466334581,
0.018913976848125458,
-0.02975875325500965,
-0.002822074107825756,
0.05213504657149315,
-0.019543489441275597,
0.02141771838068962,
0.01599532924592495,
0.020959891378879547,
-0.040889672935009,
0.01745465397834778,
-0.0033442829735577106,
0.028499729931354523,
0.0055189612321555614,
-0.05196336284279823,
0.0009505274938419461,
-0.04684142395853996,
-0.04910194128751755,
0.0004576034261845052,
0.0100221186876297,
0.021145883947610855,
-0.061577726155519485,
-0.022462135180830956,
-0.006606300361454487,
0.04563962668180466,
0.014979526400566101,
-0.0240931436419487,
0.027226397767663002,
0.020916970446705818,
0.03490930795669556,
-0.026553964242339134,
0.01921442523598671,
-0.03376473858952522,
0.02234767936170101,
-0.043922774493694305,
0.08246608078479767,
-0.020273150876164436,
-0.02716916985809803,
-0.03983094543218613,
0.018885362893342972,
-0.033335525542497635,
-0.0113884462043643,
0.03164729103446007,
0.01107368990778923,
-0.07102040946483612,
-0.024121759459376335,
0.05448140949010849,
0.050017595291137695,
-0.04229176789522171,
-0.00718216085806489,
0.02848542109131813,
0.03799963742494583,
0.01994408667087555,
-0.02405022270977497,
0.0008499307441525161,
0.02346363291144371,
-0.009542831219732761,
0.0005682598566636443,
0.002407168271020055,
-0.028556957840919495,
0.023735467344522476,
0.01809847168624401,
-0.0058802152052521706,
0.020273150876164436,
0.013505895622074604,
-0.021031426265835762,
0.010973540134727955,
-0.0382571667432785,
0.007554145064204931,
0.03347859904170036,
-0.01672499068081379,
0.0069139027036726475,
-0.0020119349937886,
0.02540939673781395,
0.04037461429834366,
0.0011955364607274532,
0.009879047982394695,
0.0160954799503088,
0.053394071757793427,
-0.09642980247735977,
0.03985955938696861,
-0.04578269645571709,
-0.018856748938560486,
0.023392096161842346,
0.03405088186264038,
-0.035624660551548004,
-0.002898974809795618,
0.001118635875172913,
0.02975875325500965,
0.021932773292064667,
-0.01211810763925314,
-0.027197783812880516,
-0.006949670147150755,
0.0678156167268753,
-0.048701345920562744,
-0.013706195168197155,
0.01785525120794773,
0.027340855449438095,
0.005669185426086187,
0.014514545910060406,
-0.003385415766388178,
-0.005003905855119228,
0.012189643457531929,
-0.06146327033638954,
-0.007031936198472977,
0.020358992740511894,
-0.04111858457326889,
-0.040946900844573975,
0.004778569098562002,
-0.0011293661082163453,
-0.026425201445817947,
0.01019380334764719,
-0.03439425304532051,
-0.025180483236908913,
-0.0566847026348114,
0.0038593383505940437,
-0.032219573855400085,
-0.024550970643758774,
-0.010451331734657288,
0.0066814124584198,
-0.006599146407097578,
-0.014428703114390373,
-0.02927231229841709,
-0.0570853017270565,
-0.029200777411460876,
-0.0722794309258461,
-0.058945223689079285,
0.007539838086813688,
0.07662878930568695,
0.03324968367815018,
-0.005540421698242426,
-0.013355671428143978,
0.005629841238260269,
0.00962867308408022,
-0.04083244130015373,
-0.013069529086351395,
0.016410235315561295,
0.013298442587256432,
-0.0036697692703455687,
0.01828446425497532,
0.04749954864382744,
0.05170583352446556,
0.027812989428639412,
-0.0031243113335222006,
0.015136904083192348,
0.031332533806562424,
-0.02038760669529438,
0.022161686792969704,
0.02891463413834572,
-0.06501142680644989,
-0.001935034291818738,
0.007840286940336227,
0.023105954751372337,
0.025008797645568848,
0.04872995987534523,
0.0019529181299731135,
0.0034515862353146076,
-0.043436333537101746,
-0.01389934029430151,
-0.04712756350636482,
-0.041089970618486404,
0.004835797473788261,
0.019228732213377953,
0.027498232200741768,
0.06300843507051468,
-0.03565327450633049,
-0.008240885101258755,
-0.0461546815931797,
-0.012654623948037624,
0.0009111829567700624,
0.005962480790913105,
-0.016753606498241425,
-0.04117581248283386,
0.011481442488729954,
-0.010680245235562325,
0.010229571722447872,
0.025252018123865128,
-0.019486259669065475,
-0.0315900593996048,
-0.00950706284493208,
0.027598382905125618,
-0.027226397767663002,
-0.012347021140158176,
-0.002210445934906602,
-0.017483267933130264,
-0.0038199936971068382,
0.004957407712936401,
0.03565327450633049,
0.0037162674125283957,
0.04624052345752716,
0.013663273304700851,
-0.041290268301963806,
0.00014854785695206374,
-0.00567991565912962,
0.0009648345876485109,
-0.03210511803627014,
0.02316318266093731,
-0.013491588644683361,
-0.009678748436272144,
0.019228732213377953,
0.02141771838068962,
0.038171324878931046,
-0.045382097363471985,
-0.043579403311014175,
-0.005400927737355232,
-0.036511700600385666,
-0.019429031759500504,
-0.016209935769438744,
0.010179496370255947,
0.003412241581827402,
0.009499909356236458,
-0.016567613929510117,
0.004807183053344488,
-0.021160190925002098,
-0.024894341826438904,
0.040117088705301285,
0.008405417203903198,
-0.021775394678115845,
-0.01046563871204853,
0.03891529142856598,
0.004538925364613533,
-0.03141837567090988,
0.024951569736003876,
-0.038314394652843475,
-0.03396503999829292,
0.032849084585905075,
0.03227680176496506,
-0.03170451894402504,
-0.0043779704719781876,
0.026081830263137817,
0.0451531857252121,
0.05184890329837799,
-0.004431622102856636,
0.01156013086438179,
-0.03396503999829292,
-0.04151918366551399,
0.01107368990778923,
0.007239389233291149,
0.03247709944844246,
0.06861681491136551,
-0.04257790744304657,
-0.008040586486458778,
-0.027154862880706787,
0.019929779693484306,
-0.015594731085002422,
-0.01268323790282011,
-0.010737473145127296,
-0.00742538133636117,
-0.04126165434718132,
0.016753606498241425,
0.0013234061188995838,
-0.05599796026945114,
0.015680573880672455,
-0.022991498932242393,
-0.0068530975840985775,
0.022648127749562263,
-0.002469761995598674,
0.014600388705730438,
0.04160502552986145,
-0.011324063874781132,
-0.04117581248283386,
0.04111858457326889,
-0.021188804879784584,
0.02867141366004944,
-0.0072894636541605,
0.029443997889757156,
0.01509398315101862,
0.049245014786720276,
-0.009757437743246555,
-0.052850402891635895,
0.0030062778387218714,
0.011603052727878094,
-0.01785525120794773,
0.024064529687166214,
0.007575605530291796,
0.03190481662750244,
-0.009135078638792038,
0.0011642397148534656,
0.009013468399643898,
0.03573911637067795,
0.0319906584918499,
-0.015523196198046207,
-0.017597723752260208,
0.01819862239062786,
0.029229391366243362,
-0.03891529142856598,
0.003641155082732439,
0.034852080047130585,
0.01595240831375122,
-0.01901412568986416,
-0.029787367209792137,
0.022304758429527283,
0.05986087769269943,
0.003498084144666791,
-0.020373299717903137,
0.00902062188833952,
-0.047871533781290054,
-0.04366524890065193,
-0.03842885047197342,
-0.03307799994945526,
-0.03347859904170036,
0.011495749466121197,
0.047728460282087326,
-0.014071025885641575,
-0.007121355272829533,
-0.02526632696390152,
0.009528524242341518,
-0.01711128279566765,
0.040460459887981415,
-0.025724152103066444,
-0.0016658821841701865,
-0.04134749993681908,
-0.03287769854068756,
-0.008162196725606918,
-0.03459455072879791,
-0.04194839671254158,
0.02925800532102585,
-0.022791199386119843,
0.021060040220618248,
-0.041919782757759094,
-0.027340855449438095,
-0.02136049047112465,
0.021446332335472107,
-0.016553306952118874,
-0.033049385994672775,
0.027727145701646805,
0.04678419232368469,
0.022361986339092255,
0.0325915589928627,
0.011338370852172375,
0.029186470434069633,
0.037684883922338486,
0.021632324904203415,
-0.042949892580509186,
0.001242928672581911,
-0.007217928301542997,
0.004610460717231035,
-0.032019272446632385,
-0.04661250859498978,
-0.04034600034356117,
0.011045075953006744,
-0.03711259737610817,
-0.0038056867197155952,
-0.008891858160495758,
0.01348443515598774,
0.027441004291176796,
-0.022376293316483498,
0.03991679102182388,
0.04941669851541519,
0.050160668790340424,
0.03344998136162758,
0.017054054886102676,
0.00438870070502162,
0.005579766351729631,
-0.014020951464772224,
-0.043293263763189316,
0.03433702141046524,
-0.03282047063112259,
-0.010837622918188572,
-0.028027594089508057,
0.04970284178853035,
-0.036311402916908264,
0.048701345920562744,
-0.0352240614593029,
0.014807840809226036,
-0.06918910145759583,
-0.003519544843584299,
0.019743788987398148,
-0.0453534834086895,
0.03342136740684509,
-0.042606521397829056,
0.00965728797018528,
-0.026997484266757965,
-0.023792695254087448,
-0.029000477865338326,
-0.029959052801132202,
-0.03902975097298622,
0.03073163516819477,
0.0023570936173200607,
-0.01143852062523365,
-0.02927231229841709,
0.008083507418632507,
0.02706901915371418,
0.017583416774868965,
-0.01553750317543745,
-0.000005410568064689869,
0.025180483236908913,
-0.06014701724052429,
0.029300926253199577,
0.010251032188534737,
-0.009771744720637798,
0.01931457594037056,
-0.00033599312882870436,
-0.010665937326848507,
0.001056042267009616,
0.026768570765852928,
0.04741370677947998,
0.04472397267818451,
0.02433636412024498,
-0.006409577559679747,
0.003004489466547966,
0.03296354040503502,
-0.03130391985177994,
0.055969346314668655,
0.04438060149550438,
0.019486259669065475,
-0.009285302832722664,
-0.028614185750484467,
0.004238476045429707,
-0.02619628794491291,
-0.002042337553575635,
0.01868506334722042,
-0.05685638636350632,
-0.05393774062395096,
0.07645710557699203,
0.04223453998565674,
-0.04189116880297661,
0.004664112348109484,
0.01470769103616476,
0.03344998136162758,
-0.00742538133636117,
-0.010687398724257946,
-0.021489253267645836,
-0.006606300361454487,
0.010229571722447872,
0.000538751482963562,
0.0068530975840985775,
0.04526764154434204,
-0.004474543500691652,
0.0378565676510334,
0.06352349370718002,
-0.012103800661861897,
0.0047141872346401215,
0.01409963984042406,
0.014564620330929756,
-0.00779021205380559,
-0.0026146213058382273,
0.015637652948498726,
-0.060261476784944534,
0.03908697888255119,
-0.011402753181755543,
-0.028571264818310738,
-0.04721340537071228,
-0.005418811459094286,
0.04795737564563751,
-0.034022267907857895,
-0.016667762771248817,
-0.01558042410761118,
-0.017783716320991516,
0.04217730835080147,
-0.011638820171356201,
0.003376473905518651,
0.05027512460947037,
0.034308407455682755,
0.011216760613024235,
-0.0018599220784381032,
0.011746123433113098,
0.02263382077217102,
-0.029529839754104614,
0.02141771838068962,
-0.008820322342216969,
0.030559949576854706,
0.0011096938978880644,
-0.021031426265835762,
-0.02878587134182453,
0.0024000147823244333,
0.027097633108496666,
-0.0153372036293149,
-0.0039702183566987514,
0.029286619275808334,
-0.002643235493451357,
-0.011552977375686169,
-0.02068805694580078,
0.02925800532102585,
-0.03193343058228493,
0.03662615641951561,
0.024522356688976288,
-0.008884704671800137,
-0.03121807612478733,
0.05428111180663109,
-0.01682514138519764,
0.041719481348991394,
0.03170451894402504,
0.01261170208454132,
0.003794956486672163,
0.005061134230345488,
-0.03957341983914375,
-0.03193343058228493,
-0.04160502552986145,
-0.005297201219946146,
0.03642585873603821,
-0.01126683596521616,
-0.0025448740925639868,
0.005976788233965635,
0.030903320759534836,
0.018313078209757805,
-0.01287638396024704,
0.03116084821522236,
-0.020215922966599464,
-0.010251032188534737,
-0.014936604537069798,
-0.0008052210905589163,
0.0227768924087286,
-0.030502721667289734,
0.04961699992418289,
-0.025924451649188995,
0.03121807612478733,
0.050847407430410385,
-0.007235812023282051,
-0.0284425001591444,
-0.07525531202554703,
-0.023435018956661224,
0.0027433850336819887,
0.06524034589529037,
-0.00018420381820760667,
0.0016050769481807947,
-0.06386686116456985,
-0.07136377692222595,
0.013749116100370884,
-0.036597542464733124,
0.019157197326421738,
-0.019529182463884354,
0.025194790214300156,
0.013076682575047016,
-0.015279974788427353,
0.018427535891532898,
-0.019543489441275597,
0.014865069650113583,
0.017154203727841377,
0.02097419835627079,
-0.027841603383421898,
0.04086105898022652,
0.06197832524776459,
0.007783058565109968,
-0.026153365150094032,
-0.026010295376181602,
0.026167672127485275,
0.01090200524777174,
-0.014693384058773518,
-0.041290268301963806,
-0.03164729103446007,
0.03834300860762596,
-0.014421549625694752,
0.049874525517225266,
0.042263153940439224,
0.014257018454372883,
-0.017740795388817787,
-0.06111989915370941,
0.07142100483179092,
-0.03957341983914375,
-0.006860251072794199,
-0.04618329554796219,
-0.034852080047130585,
0.018599221482872963,
0.028256507590413094,
0.007568452041596174,
-0.04340771958231926,
0.2401302456855774,
0.0073967669159173965,
-0.014063872396945953,
-0.002612832933664322,
0.018255850300192833,
0.03608248755335808,
0.03585357591509819,
-0.029730139300227165,
0.003687653224915266,
0.022619513794779778,
-0.0000018582454686111305,
-0.000536068866495043,
-0.01034402847290039,
-0.0068530975840985775,
0.017697874456644058,
-0.0029097050428390503,
-0.012468631379306316,
-0.002949049463495612,
0.025480931624770164,
-0.021231725811958313,
-0.07342400401830673,
-0.041977010667324066,
-0.05179167538881302,
0.05771481245756149,
-0.0016497866017743945,
-0.010544327087700367,
0.02415037341415882,
-0.008419724181294441,
0.015251360833644867,
-0.030073508620262146,
-0.031332533806562424,
-0.014435856603085995,
0.01990116573870182,
-0.026410892605781555,
-0.05030373856425285,
0.0033872041385620832,
0.0006214643362909555,
-0.04781430587172508,
0.009614366106688976,
0.04209146648645401,
0.02048775739967823,
-0.03264878690242767,
0.03757042437791824,
0.0077329836785793304,
0.03573911637067795,
0.09774605929851532,
-0.03516683354973793,
-0.0026468122377991676,
0.008155043236911297,
-0.015237053856253624,
0.03525267541408539,
-0.0024375710636377335,
-0.018742291256785393,
-0.016038252040743828,
-0.024107450619339943,
-0.003769919043406844,
0.03336413949728012,
-0.037971023470163345,
0.022547978907823563,
-0.03342136740684509,
0.02180401049554348,
0.025008797645568848,
0.06890296190977097,
0.005028943065553904,
-0.04692726582288742,
0.0306744072586298,
-0.004699879791587591,
0.043293263763189316,
-0.01095207966864109,
-0.02575276792049408,
-0.015208439901471138,
-0.07691492885351181,
-0.030817478895187378,
-0.013799191452562809,
0.03871499374508858,
-0.059631962329149246,
-0.010580095462501049,
0.008326727896928787,
0.005275740288197994,
-0.04229176789522171,
-0.04166225343942642,
-0.021818317472934723,
0.021446332335472107,
0.02326333336532116,
0.08418293297290802,
0.04429475963115692,
-0.022962884977459908,
-0.0459543839097023,
0.005443848669528961,
-0.007200044579803944,
0.02482280693948269,
0.028599878773093224,
-0.03593941777944565,
-0.0558835044503212,
0.02512325532734394
] |
1214_2 | As a noun, an Anglican is a member of a church in the Anglican Communion. The word is also used by followers of separated groups which have left the communion or have been founded separately from it, although this is considered as a misuse by the Anglican Communion. The word Anglicanism came into being in the 19th century. The word originally referred only to the teachings and rites of Christians throughout the world in communion with the see of Canterbury, but has come to sometimes be extended to any church following those traditions rather than actual membership in the modern Anglican Communion.
Although the term Anglican is found referring to the Church of England as far back as the 16th century, its use did not become general until the latter half of the 19th century. In British parliamentary legislation referring to the English Established Church, there is no need for a description; it is simply the Church of England, though the word "Protestant" is used in many legal acts specifying the succession to the Crown and qualifications for office. When the Union with Ireland Act created the United Church of England and Ireland, it is specified that it shall be one "Protestant Episcopal Church", thereby distinguishing its form of church government from the Presbyterian polity that prevails in the Church of Scotland.
The word Episcopal is preferred in the title of the Episcopal Church (the province of the Anglican Communion covering the United States) and the Scottish Episcopal Church, though the full name of the former is The Protestant Episcopal Church of the United States of America. Elsewhere, however, the term "Anglican Church" came to be preferred as it distinguished these churches from others that maintain an episcopal polity.
Definition
Anglicanism, in its structures, theology, and forms of worship, is commonly understood as a distinct Christian tradition representing a middle ground between what are perceived to be the extremes of the claims of 16th-century Roman Catholicism and the Lutheran and Reformed varieties of Protestantism of that era. As such, it is often referred to as being a via media (or "middle way") between these traditions. | [
-0.028154127299785614,
-0.06517059355974197,
-0.012753116898238659,
-0.003387546632438898,
-0.007849111221730709,
0.04590581730008125,
0.02961317077279091,
-0.051444776356220245,
0.038340408354997635,
0.003661117283627391,
0.02607364021241665,
-0.040258780121803284,
0.007565408479422331,
-0.0016929289558902383,
-0.03817829489707947,
-0.058902107179164886,
-0.03674627095460892,
-0.006258348934352398,
-0.06808867305517197,
0.026181716471910477,
0.007524879649281502,
0.03509809076786041,
-0.07003406435251236,
-0.046905532479286194,
0.02831624262034893,
0.031072212383151054,
0.07300619035959244,
0.020223958417773247,
0.019143184646964073,
0.0770050510764122,
-0.02341223694384098,
0.012989535927772522,
-0.01856227032840252,
-0.033936262130737305,
-0.037232618778944016,
-0.026127679273486137,
0.011044145561754704,
-0.05157987400889397,
0.00380296865478158,
-0.03047778829932213,
0.005316050257533789,
-0.03423347324132919,
-0.02658700756728649,
0.026249265298247337,
-0.02329065091907978,
0.028154127299785614,
0.04993169754743576,
0.004461564589291811,
-0.009868805296719074,
0.030964136123657227,
0.05511940270662308,
-0.009348683059215546,
-0.057226911187171936,
-0.01024707593023777,
0.020656267181038857,
-0.02893768809735775,
0.006281991023570299,
0.03409837558865547,
0.008430026471614838,
-0.009017696604132652,
0.024493010714650154,
0.0027221960481256247,
-0.0013180359965190291,
-0.04720274358987808,
-0.028640475124120712,
-0.01527942344546318,
-0.006471126340329647,
0.027208451181650162,
0.0024705787654966116,
-0.010861764661967754,
0.02774883806705475,
-0.024952339008450508,
0.00884882640093565,
-0.026492439210414886,
-0.0036881365813314915,
-0.021007517352700233,
0.004927647765725851,
-0.012003331445157528,
0.01211140863597393,
0.01850823126733303,
0.027248980477452278,
0.027492154389619827,
0.011172487400472164,
-0.011402151547372341,
-0.03309866040945053,
0.038097236305475235,
-0.030964136123657227,
0.04590581730008125,
0.0033993676770478487,
-0.0063799358904361725,
0.0322880819439888,
0.01745447888970375,
-0.0173328910022974,
-0.0073019699193537235,
0.021034536883234978,
0.011935782618820667,
-0.03807021677494049,
0.03858358412981033,
0.002355746692046523,
0.0176976528018713,
0.04558158665895462,
0.050580158829689026,
-0.007714014500379562,
0.05749710276722908,
-0.04047493636608124,
0.032071929425001144,
-0.0024131627287715673,
0.031153270974755287,
-0.015509087592363358,
-0.06943964213132858,
-0.014212160371243954,
0.022453051060438156,
0.02216934785246849,
-0.06500847637653351,
0.0385025255382061,
0.041636765003204346,
-0.04404148459434509,
0.050688236951828,
-0.019791649654507637,
0.04015070199966431,
-0.009801256470382214,
0.015441538766026497,
0.00971344392746687,
0.0026647800114005804,
0.006447484251111746,
0.001089216209948063,
-0.019048618152737617,
0.021021027117967606,
-0.0397183932363987,
0.027586720883846283,
0.051498815417289734,
-0.022250406444072723,
-0.02484426088631153,
-0.013833889737725258,
0.021939683705568314,
0.027721818536520004,
0.03390924260020256,
0.06155000254511833,
0.010794216766953468,
-0.03707050159573555,
0.023304160684347153,
0.027167921885848045,
-0.05247151106595993,
0.05198516324162483,
0.014468844048678875,
0.023506805300712585,
-0.0036374754272401333,
-0.005481543485075235,
-0.049958713352680206,
-0.003164637368172407,
0.0578753761947155,
0.025843976065516472,
0.027478644624352455,
0.03134240582585335,
-0.011084673926234245,
-0.0074978601187467575,
-0.0318017341196537,
-0.013354296796023846,
0.0013906504027545452,
0.015590145252645016,
-0.05755114182829857,
0.038097236305475235,
0.013928457163274288,
0.010855009779334068,
-0.05017486959695816,
-0.0025195511989295483,
-0.029099803417921066,
0.004508848302066326,
-0.03136942535638809,
0.011287319473922253,
-0.0007987585267983377,
0.022371994331479073,
-0.018332606181502342,
-0.014671488665044308,
-0.006825754884630442,
0.04922919347882271,
0.00627185869961977,
-0.026033110916614532,
0.005299163516610861,
0.023763488978147507,
-0.016441253945231438,
0.006170536391437054,
0.01595490612089634,
0.00183562480378896,
0.0027154411654919386,
0.017049187794327736,
-0.05695671960711479,
0.0001915627217385918,
-0.02936999686062336,
-0.03885377570986748,
0.02439844235777855,
0.026803161948919296,
0.0027103752363473177,
0.016670918092131615,
0.0447169691324234,
-0.007903150282800198,
-0.04860774800181389,
-0.009308154694736004,
-0.0612257681787014,
0.0023658787831664085,
-0.014320237562060356,
0.009497289545834064,
0.018845973536372185,
0.03042374923825264,
-0.007801827508956194,
-0.029045764356851578,
0.06684578955173492,
0.04242032766342163,
-0.024668635800480843,
0.024601086974143982,
0.03074798174202442,
-0.03644905611872673,
-0.025357628241181374,
0.06452212482690811,
0.04506821930408478,
0.01561716478317976,
-0.03966435417532921,
0.01248292438685894,
-0.04028579965233803,
-0.028829609975218773,
0.011638570576906204,
0.027235470712184906,
0.03571953624486923,
0.04260946065187454,
-0.027100373059511185,
-0.020588718354701996,
0.0027880556881427765,
0.07576216012239456,
-0.04606793448328972,
-0.008470555767416954,
-0.042744558304548264,
0.027465134859085083,
-0.002720507327467203,
-0.0006716832867823541,
0.050147850066423416,
-0.01814347133040428,
-0.044852063059806824,
0.04117743670940399,
-0.011388641782104969,
0.013860909268260002,
-0.01468499843031168,
0.02638436108827591,
0.03788108006119728,
-0.004187994170933962,
0.003100466448813677,
-0.003911045845597982,
0.03218000382184982,
0.03961031883955002,
0.017738180235028267,
0.040393877774477005,
0.04290667548775673,
0.006248216610401869,
0.06203635036945343,
0.02304747700691223,
-0.002148035680875182,
-0.007538388948887587,
0.03631396219134331,
0.030720962211489677,
-0.048904962837696075,
-0.02408771961927414,
0.013712302781641483,
-0.011969557031989098,
-0.03363904729485512,
-0.009436496533453465,
-0.005562601611018181,
0.013820379972457886,
0.03018057532608509,
-0.013232709839940071,
-0.00924736075103283,
-0.04487908259034157,
-0.00273908325470984,
-0.005623395089060068,
-0.02087242156267166,
-0.008355723693966866,
-0.022155839949846268,
0.002345614368095994,
-0.028964705765247345,
-0.027397586032748222,
0.06846694648265839,
-0.007085815537720919,
0.006234707310795784,
0.019899725914001465,
-0.004846589639782906,
-0.018737895414233208,
-0.04069108888506889,
0.0086664455011487,
-0.035422321408987045,
0.040015608072280884,
0.00831519439816475,
0.05425478518009186,
-0.017495006322860718,
-0.008767767809331417,
-0.0027441491838544607,
0.001970721408724785,
-0.00025013976846821606,
0.027802875265479088,
-0.00017298695456702262,
-0.00017034834309015423,
-0.01055104285478592,
-0.06533270329236984,
0.01260451041162014,
-0.005191085860133171,
-0.04477100819349289,
0.04279859736561775,
0.0047689094208180904,
0.056794602423906326,
-0.02974826656281948,
-0.00887584500014782,
0.025668350979685783,
-0.0010985040571540594,
-0.054741133004426956,
-0.004481829237192869,
0.03615184500813484,
-0.04344705864787102,
-0.05055313929915428,
0.0418529212474823,
-0.0021801211405545473,
0.015401010401546955,
-0.017549045383930206,
0.023115023970603943,
-0.04177186265587807,
-0.03755684942007065,
-0.002563457703217864,
-0.047472938895225525,
0.012982781045138836,
0.05036400631070137,
-0.012361337430775166,
-0.049013037234544754,
0.03458472341299057,
-0.008855580352246761,
-0.018156981095671654,
-0.05320103466510773,
0.008403006941080093,
-0.02491180971264839,
0.01049024984240532,
-0.021088575944304466,
0.0196160227060318,
0.0009456760599277914,
0.03739473223686218,
-0.008882599882781506,
0.019886216148734093,
-0.07451927661895752,
-0.026843691244721413,
-0.012780136428773403,
-0.016751976683735847,
0.019264772534370422,
-0.024006662890315056,
-0.019778139889240265,
0.0228448323905468,
-0.003725288202986121,
0.02912682294845581,
0.020629247650504112,
-0.039340123534202576,
-0.0020129389595240355,
0.000223120441660285,
0.008517839014530182,
-0.010267339646816254,
0.009200077503919601,
-0.02148035541176796,
0.011077919974923134,
0.010226811282336712,
0.045365430414676666,
-0.05482219159603119,
-0.02999144047498703,
0.04571668431162834,
-0.0003155771701131016,
-0.008727239444851875,
0.024803731590509415,
-0.004012368619441986,
-0.012813910841941833,
0.05514642223715782,
0.003623965661972761,
-0.0010503758676350117,
0.017981354147195816,
-0.024614596739411354,
-0.005177576560527086,
0.04382533207535744,
-0.01071315910667181,
0.013158407062292099,
0.005028970073908567,
0.020534679293632507,
-0.012942252680659294,
-0.0008443536353297532,
0.009794501587748528,
0.006714299786835909,
0.0176976528018713,
-0.04147465154528618,
0.012287033721804619,
-0.05482219159603119,
-0.051633913069963455,
-0.016468273475766182,
0.03401731699705124,
0.010348398238420486,
-0.059334415942430496,
0.0018626441014930606,
-0.012334317900240421,
0.03569251671433449,
0.0006868816562928259,
-0.019413378089666367,
0.023385217413306236,
0.04317686706781387,
0.026735613122582436,
-0.040826186537742615,
-0.0026276283897459507,
-0.04550052806735039,
0.015455048531293869,
-0.02484426088631153,
0.06679175049066544,
-0.022250406444072723,
-0.0007189671159721911,
-0.039772432297468185,
0.034368570894002914,
-0.043933406472206116,
-0.004569641780108213,
0.03844848647713661,
0.02006184123456478,
-0.06608925014734268,
-0.03304462507367134,
0.05755114182829857,
0.04420360177755356,
-0.017413949593901634,
-0.019886216148734093,
0.040258780121803284,
0.049148134887218475,
-0.0031764584127813578,
-0.022196367383003235,
-0.015360481105744839,
0.012665304355323315,
0.022925889119505882,
-0.027992011979222298,
0.01477956585586071,
-0.021129105240106583,
0.001985919661819935,
0.022925889119505882,
0.0017393684247508645,
-0.02234497480094433,
0.0063360296189785,
-0.012260014191269875,
-0.0015215252060443163,
-0.044798023998737335,
0.012618020176887512,
0.015941396355628967,
-0.007254686206579208,
-0.0346657820045948,
-0.011469699442386627,
-0.014833603985607624,
0.059388455003499985,
0.03553039953112602,
0.010767197236418724,
0.029342977330088615,
0.0447169691324234,
-0.10759091377258301,
0.058523837476968765,
-0.06446808576583862,
-0.024303874000906944,
-0.004829702898859978,
0.02327714115381241,
-0.04787822812795639,
0.005620017647743225,
-0.013658263720571995,
0.013556941412389278,
0.009139283560216427,
-0.010686139576137066,
-0.00956483744084835,
0.02285834215581417,
0.059712689369916916,
-0.04885092377662659,
-0.011395396664738655,
0.005782133433967829,
0.034125395119190216,
0.021331749856472015,
0.009200077503919601,
-0.003900913754478097,
0.007612692192196846,
0.025006376206874847,
-0.05503834784030914,
-0.022317955270409584,
0.01875140517950058,
-0.027289509773254395,
-0.05066121742129326,
0.009591856971383095,
-0.016157550737261772,
-0.021750548854470253,
-0.0018305586418136954,
-0.022966418415308,
-0.03482789918780327,
-0.044608891010284424,
0.008058510720729828,
-0.00664337445050478,
-0.03328779712319374,
-0.008457046002149582,
0.02788393385708332,
0.008869090117514133,
-0.017103226855397224,
-0.03285548835992813,
-0.022250406444072723,
0.007011512294411659,
-0.06473828107118607,
-0.0655488595366478,
0.016495293006300926,
0.06306308507919312,
0.05514642223715782,
0.0029400393832474947,
-0.03671925142407417,
0.007450576405972242,
0.01067938469350338,
-0.06403578072786331,
-0.020656267181038857,
0.03258529677987099,
-0.010895539075136185,
-0.012030350044369698,
0.01344210933893919,
0.02769479900598526,
0.058091528713703156,
0.033747125416994095,
-0.005795643199235201,
0.01962953247129917,
0.035854633897542953,
-0.02180458791553974,
0.01937284879386425,
0.038151275366544724,
-0.04679745435714722,
-0.004630435258150101,
0.011226525530219078,
0.01633317582309246,
-0.001026734011247754,
0.04655428230762482,
-0.007484350353479385,
-0.020480642095208168,
-0.043987445533275604,
-0.005062744487076998,
-0.0607394203543663,
-0.03482789918780327,
0.010909048840403557,
0.020480642095208168,
0.021899156272411346,
0.03788108006119728,
-0.04244734346866608,
-0.016860052943229675,
-0.022952908650040627,
-0.004059652332216501,
0.016373705118894577,
-0.006741319317370653,
0.00673794187605381,
-0.035854633897542953,
0.020142899826169014,
-0.015171346254646778,
0.001942013273946941,
0.017062697559595108,
0.0008050911710597575,
-0.0009845163440331817,
-0.017184285447001457,
0.03701646253466606,
-0.04620302841067314,
-0.025249550119042397,
-0.024006662890315056,
-0.041825901716947556,
-0.005204595625400543,
0.01881895400583744,
0.03161260113120079,
-0.002644515596330166,
0.0447169691324234,
0.012442395091056824,
-0.048283517360687256,
0.0012614643201231956,
-0.009456760250031948,
-0.028046049177646637,
-0.047337841242551804,
0.02056169882416725,
-0.004849967081099749,
0.009916088543832302,
0.023939114063978195,
0.03836742788553238,
0.03761088848114014,
-0.046419184654951096,
-0.06592713296413422,
-0.009429741650819778,
-0.009929598309099674,
-0.011003616265952587,
0.006032062228769064,
0.01609000191092491,
-0.0002400075172772631,
-0.008308439515531063,
-0.004853344522416592,
0.003580059390515089,
-0.01114546786993742,
-0.04949938505887985,
0.04085320606827736,
0.00406978465616703,
-0.02601960115134716,
-0.027370566502213478,
0.04763505235314369,
0.01084150094538927,
-0.03328779712319374,
0.011496718972921371,
-0.035476360470056534,
-0.02837028168141842,
0.015684712678194046,
0.015657693147659302,
-0.06009095907211304,
-0.02807306870818138,
-0.0015375679358839989,
0.04193397983908653,
0.03888079524040222,
0.009355437941849232,
-0.004650699906051159,
-0.02075083553791046,
-0.027775857597589493,
-0.007686995435506105,
0.016968131065368652,
0.018224528059363365,
0.07727524638175964,
-0.054741133004426956,
0.0031156649347394705,
0.015860337764024734,
0.012314053252339363,
-0.03696242347359657,
-0.023250121623277664,
-0.02037256397306919,
-0.004914138000458479,
-0.03285548835992813,
0.04296071082353592,
0.0037827042397111654,
-0.05906422436237335,
0.0005733161233365536,
0.012273523956537247,
-0.021372279152274132,
0.031072212383151054,
0.01856227032840252,
0.009355437941849232,
0.03696242347359657,
-0.0057314722798764706,
-0.05409267172217369,
0.025438686832785606,
0.0018744650296866894,
0.022466560825705528,
-0.023060986772179604,
0.012395110912621021,
0.025073925033211708,
0.048310536891222,
-0.008558368310332298,
-0.0540386326611042,
0.0002834917395375669,
0.004410903435200453,
0.0228448323905468,
0.03869165852665901,
0.023020457476377487,
0.05592998489737511,
0.019913235679268837,
0.0385025255382061,
-0.006964228581637144,
0.02439844235777855,
0.02222338691353798,
-0.016008945181965828,
-0.029153842478990555,
0.005393730942159891,
0.030315672978758812,
-0.03485491871833801,
0.013178671710193157,
0.024952339008450508,
0.03018057532608509,
-0.035476360470056534,
-0.03290952742099762,
0.01254371739923954,
0.05749710276722908,
0.029883364215493202,
-0.04739188030362129,
0.039096951484680176,
-0.04028579965233803,
-0.046040914952754974,
-0.012401865795254707,
-0.02180458791553974,
-0.01021330151706934,
0.0033571498934179544,
0.03507107123732567,
-0.007930168882012367,
-0.0065724486485123634,
-0.03409837558865547,
0.010557797737419605,
-0.019021598622202873,
0.048769865185022354,
-0.036476075649261475,
0.03296356648206711,
-0.02222338691353798,
-0.02620873600244522,
-0.017927316948771477,
-0.011003616265952587,
-0.03985349088907242,
0.00931490957736969,
-0.03942118212580681,
0.019210733473300934,
-0.04198801517486572,
0.01248292438685894,
-0.014293218031525612,
0.01136837713420391,
-0.03458472341299057,
-0.03304462507367134,
0.01944039762020111,
0.03299058601260185,
0.04409552365541458,
0.04552754759788513,
0.014536391943693161,
0.012469414621591568,
0.000626510358415544,
0.009139283560216427,
-0.03458472341299057,
0.014995720237493515,
-0.024547047913074493,
-0.002582033397629857,
-0.04717572405934334,
-0.06798060238361359,
-0.06349539011716843,
0.016603369265794754,
-0.04193397983908653,
-0.026600517332553864,
-0.006373181007802486,
0.00825440138578415,
0.006113120354712009,
-0.027992011979222298,
0.04768909141421318,
0.019345829263329506,
0.05247151106595993,
0.02899172529578209,
0.025073925033211708,
0.010929313488304615,
-0.0024672013241797686,
0.00447169691324234,
-0.03296356648206711,
0.05222833901643753,
-0.02570887841284275,
0.029721247032284737,
-0.056794602423906326,
0.058956146240234375,
-0.0166303887963295,
0.022709734737873077,
-0.039340123534202576,
0.0104024363681674,
-0.05052611976861954,
0.007315479684621096,
0.013860909268260002,
-0.02520902082324028,
0.04625706747174263,
-0.02123718149960041,
0.014131101779639721,
-0.019899725914001465,
-0.000299534440273419,
-0.008220626972615719,
-0.047283802181482315,
-0.039826471358537674,
0.009591856971383095,
0.035854633897542953,
-0.02453353814780712,
-0.04128551483154297,
-0.018400155007839203,
-0.0018271812004968524,
0.00881505198776722,
-0.010071449913084507,
0.02658700756728649,
0.011787176132202148,
-0.032936546951532364,
0.0025769672356545925,
0.012516697868704796,
0.007815336808562279,
0.020075350999832153,
-0.015819810330867767,
-0.014698508195579052,
-0.013063839636743069,
0.031207310035824776,
0.010942823253571987,
0.03855656459927559,
0.04428466036915779,
-0.02334468811750412,
0.024128248915076256,
0.024438971653580666,
-0.010395681485533714,
0.037286654114723206,
0.024317383766174316,
0.032315101474523544,
0.0004196437366772443,
-0.0540386326611042,
0.028208166360855103,
-0.04158272594213486,
0.013117877766489983,
0.02327714115381241,
-0.06927752494812012,
-0.05873999372124672,
0.06576501578092575,
0.0330176055431366,
-0.017670633271336555,
-0.009916088543832302,
0.03744877129793167,
0.030450768768787384,
-0.007551898714154959,
-0.004066407214850187,
-0.010105224326252937,
0.00044455219176597893,
0.022966418415308,
-0.01987270638346672,
0.00496817659586668,
0.027276000007987022,
-0.02160194329917431,
0.05114756524562836,
0.05344420671463013,
0.010321378707885742,
-0.02253410965204239,
0.011098183691501617,
0.016549330204725266,
-0.0024739562068134546,
-0.0027255734894424677,
0.016603369265794754,
-0.06257673352956772,
0.03012653812766075,
-0.025938542559742928,
-0.024371422827243805,
-0.017238322645425797,
-0.0068392641842365265,
0.05128266289830208,
-0.021129105240106583,
0.00597464619204402,
-0.029153842478990555,
0.008578632958233356,
0.02222338691353798,
-0.022682715207338333,
-0.021264201030135155,
0.044554851949214935,
0.008727239444851875,
0.005140424706041813,
0.013394826091825962,
0.0127328522503376,
0.030531827360391617,
-0.061441924422979355,
0.020642757415771484,
-0.004177861846983433,
0.004015745595097542,
-0.007079060655087233,
-0.020764343440532684,
-0.04290667548775673,
-0.02774883806705475,
0.017927316948771477,
-0.03439559042453766,
-0.012334317900240421,
0.03901589289307594,
-0.022371994331479073,
-0.005285653751343489,
-0.014063553884625435,
0.05074227601289749,
-0.01502273976802826,
0.042933691293001175,
0.011456189677119255,
0.008234136737883091,
-0.011571021750569344,
0.03396328166127205,
-0.01850823126733303,
0.016225099563598633,
0.005913852714002132,
0.00825440138578415,
0.011057655327022076,
0.017157265916466713,
-0.065062515437603,
-0.029883364215493202,
-0.04061003029346466,
-0.008288174867630005,
0.04609495401382446,
-0.036178864538669586,
-0.013624490238726139,
0.0011787177063524723,
0.025236040353775024,
0.026546478271484375,
-0.031126251444220543,
0.002181809861212969,
-0.005167444236576557,
0.006184046156704426,
-0.015590145252645016,
0.0036847591400146484,
0.02079136297106743,
-0.0173328910022974,
0.059712689369916916,
-0.029667207971215248,
0.020939970389008522,
0.055984023958444595,
-0.01857578009366989,
-0.02087242156267166,
-0.03985349088907242,
-0.03272039070725441,
0.004289316479116678,
0.06533270329236984,
-0.03123432956635952,
-0.00820036232471466,
-0.059334415942430496,
-0.042744558304548264,
0.01037541776895523,
-0.014698508195579052,
0.018845973536372185,
0.0004059229977428913,
0.0063664261251688,
0.028586436063051224,
-0.010476740077137947,
0.02253410965204239,
-0.05328208953142166,
0.023993153125047684,
-0.007997717708349228,
0.010098469443619251,
-0.02855941653251648,
0.02422281727194786,
0.034125395119190216,
-0.02527656964957714,
-0.0063866907730698586,
-0.030639903619885445,
0.0206832867115736,
0.018413662910461426,
-0.05139073729515076,
-0.039205025881528854,
-0.031018175184726715,
0.023304160684347153,
-0.01645476371049881,
0.06544078141450882,
0.0612257681787014,
0.017846258357167244,
-0.03236914053559303,
-0.0408802255988121,
0.06873714178800583,
-0.06614328175783157,
0.0023084627464413643,
-0.018643327057361603,
-0.021899156272411346,
0.010922558605670929,
0.04382533207535744,
0.016130531206727028,
-0.0358816497027874,
0.20599526166915894,
0.028424320742487907,
-0.000626510358415544,
-0.00012359226820990443,
0.018427172675728798,
0.038475506007671356,
0.0413665734231472,
-0.04633812606334686,
-0.005143802147358656,
0.008031491190195084,
0.00530591793358326,
0.013394826091825962,
0.016792504116892815,
-0.015428029000759125,
-0.008193607442080975,
0.019845686852931976,
-0.004508848302066326,
0.019818667322397232,
0.029883364215493202,
-0.031828753650188446,
-0.05760518088936806,
-0.03444962948560715,
-0.02360137179493904,
0.057713259011507034,
-0.02565484121441841,
0.0007882040808908641,
0.03161260113120079,
-0.015819810330867767,
0.009260870516300201,
-0.03280144929885864,
-0.01880544424057007,
-0.014712017960846424,
0.0392320454120636,
-0.022439541295170784,
-0.044122543185949326,
0.01944039762020111,
0.007396537810564041,
-0.04993169754743576,
-0.005113405641168356,
0.034611742943525314,
0.003654362400993705,
-0.021061556413769722,
0.030531827360391617,
-0.009146038442850113,
0.02769479900598526,
0.08213871717453003,
-0.06484635919332504,
-0.00713985413312912,
0.013401580974459648,
-0.004356864839792252,
0.04979659989476204,
-0.016684427857398987,
-0.007396537810564041,
-0.04012368246912956,
-0.021210163831710815,
-0.024992866441607475,
0.020696796476840973,
-0.02066977694630623,
0.013793360441923141,
-0.03744877129793167,
0.03255827724933624,
0.004387261345982552,
0.06862906366586685,
0.014766056090593338,
-0.025749407708644867,
0.0420960932970047,
-0.004130578134208918,
0.06371154636144638,
-0.0173328910022974,
-0.013165161944925785,
-0.03674627095460892,
-0.0784640908241272,
-0.007362763397395611,
-0.015792790800333023,
0.022317955270409584,
-0.042069073766469955,
0.02807306870818138,
0.008774522691965103,
0.005062744487076998,
-0.05825364589691162,
-0.045041199773550034,
-0.008889354765415192,
0.029694227501749992,
0.05303891748189926,
0.06625135987997055,
0.0425824411213398,
-0.016914092004299164,
-0.07646466046571732,
0.0021868757903575897,
0.01657634973526001,
0.01294900756329298,
0.012800401076674461,
-0.027910953387618065,
-0.06484635919332504,
0.015428029000759125
] |
1214_3 | The faith of Anglicans is founded in the Scriptures and the Gospels, the traditions of the Apostolic Church, the historical episcopate, the first four ecumenical councils, and the early Church Fathers (among these councils, especially the premier four ones, and among these Fathers, especially those active during the five initial centuries of Christianity, according to the quinquasaecularist principle proposed by the English bishop Lancelot Andrewes and the Lutheran dissident Georg Calixtus). Anglicans understand the Old and New Testaments as "containing all things necessary for salvation" and as being the rule and ultimate standard of faith. Reason and tradition are seen as valuable means to interpret scripture (a position first formulated in detail by Richard Hooker), but there is no full mutual agreement among Anglicans about exactly how scripture, reason, and tradition interact (or ought to interact) with each other. Anglicans understand the Apostles' Creed as the baptismal symbol and the Nicene Creed as the sufficient statement of the Christian faith.
Anglicans believe the catholic and apostolic faith is revealed in Holy Scripture and the Catholic creeds and interpret these in light of the Christian tradition of the historic church, scholarship, reason, and experience.
Anglicans celebrate the traditional sacraments, with special emphasis being given to the Eucharist, also called Holy Communion, the Lord's Supper or the Mass. The Eucharist is central to worship for most Anglicans as a communal offering of prayer and praise in which the life, death, and resurrection of Jesus Christ are proclaimed through prayer, reading of the Bible, singing, giving God thanks over the bread and wine for the innumerable benefits obtained through the passion of Christ, the breaking of the bread, the blessing of the cup, and the partaking of the body and blood of Christ as instituted at the Last Supper, however one wished to define the Presence. The consecrated bread and wine, which are the true body and blood of Christ after a spiritual manner, are outward symbols of an inner grace given by Christ, which to the repentant conveys forgiveness and cleaning from sin. While many Anglicans celebrate the Eucharist in similar ways to the predominant western Catholic tradition, a considerable degree of liturgical freedom is permitted, and worship styles range from the simple to elaborate. | [
-0.014858271926641464,
-0.054602041840553284,
0.01624860055744648,
-0.03671032190322876,
-0.0008413075120188296,
0.04758017510175705,
0.031008567661046982,
-0.02002636529505253,
0.0479733981192112,
0.013601357117295265,
0.009430368430912495,
-0.036429449915885925,
0.006719927303493023,
0.013362613506615162,
-0.020251065492630005,
-0.046849898993968964,
-0.022371670231223106,
-0.036260925233364105,
-0.06628642976284027,
0.05235504359006882,
-0.014310565777122974,
0.019099479541182518,
-0.06269123405218124,
-0.07561147212982178,
0.008419219404459,
0.02373391203582287,
0.04831044748425484,
-0.003932246007025242,
0.043086178600788116,
0.06212948262691498,
-0.02425353042781353,
0.011164769530296326,
0.016445213928818703,
-0.042075030505657196,
-0.028930094093084335,
-0.008573700673878193,
0.03645753487944603,
-0.059994835406541824,
0.009114383719861507,
-0.013868188485503197,
0.013987559825181961,
-0.025377029553055763,
-0.04328279197216034,
0.003847983432933688,
-0.01634690724313259,
0.023593474179506302,
0.04451863840222359,
-0.005326086655259132,
-0.020279154181480408,
-0.0011349093401804566,
0.05496717989444733,
0.00046914853737689555,
-0.004427287261933088,
-0.03404201194643974,
0.022877244278788567,
0.006579489912837744,
0.015363845974206924,
0.00761872623115778,
0.00804003793746233,
0.013819035142660141,
0.04558596387505531,
-0.015026796609163284,
-0.0072676329873502254,
-0.02873348258435726,
-0.05255165696144104,
-0.011712474748492241,
-0.019899971783161163,
0.03471611440181732,
-0.015377890318632126,
-0.014661659486591816,
0.013980538584291935,
-0.005013613495975733,
-0.0030948880594223738,
-0.011494796723127365,
-0.003386295633390546,
-0.030418729409575462,
-0.004083216190338135,
-0.006877919193357229,
0.02423948608338833,
-0.003991931676864624,
0.025236591696739197,
0.031120916828513145,
0.0018151527037844062,
-0.0077521419152617455,
-0.04831044748425484,
0.020911121740937233,
-0.03943480923771858,
0.01836920529603958,
-0.012786820530891418,
-0.030924305319786072,
0.03325556591153145,
0.019057348370552063,
-0.01811641827225685,
-0.01190908718854189,
0.007625747937709093,
0.01744231954216957,
0.007088575046509504,
0.032216329127550125,
0.011256054043769836,
0.031795017421245575,
0.02131838910281658,
0.06662347912788391,
-0.020686421543359756,
0.023031724616885185,
-0.06853342801332474,
0.03426671400666237,
-0.008138344623148441,
0.014043735340237617,
0.016655869781970978,
-0.06521910429000854,
-0.023340687155723572,
0.01600985787808895,
0.03303086385130882,
-0.05718608945608139,
0.014774009585380554,
0.022006532177329063,
-0.06898282468318939,
-0.01506892777979374,
-0.022203145548701286,
0.029098618775606155,
0.02828408218920231,
0.026739271357655525,
0.0006073915283195674,
0.0042482297867536545,
-0.010090423747897148,
-0.0040972596034407616,
-0.0219082273542881,
-0.002582291839644313,
-0.02829812653362751,
0.03547447547316551,
0.042889565229415894,
-0.051315806806087494,
-0.03713163733482361,
-0.008510502986609936,
0.0025928246323019266,
0.021009428426623344,
0.013453898020088673,
0.04016508162021637,
0.003237080993130803,
-0.02996933087706566,
0.01843942329287529,
0.004553681239485741,
-0.0522146075963974,
0.05507952719926834,
0.01306067407131195,
0.024871455505490303,
-0.01994210295379162,
0.022624457255005836,
-0.046288151293992996,
0.006379366852343082,
0.05328192934393883,
0.010006161406636238,
-0.0033722519874572754,
0.005129474215209484,
0.008103234693408012,
-0.023200251162052155,
-0.04002464562654495,
-0.036766499280929565,
-0.008524547331035137,
0.01836920529603958,
-0.046597111970186234,
0.0058983685448765755,
-0.03758103400468826,
0.025447247549891472,
-0.03235676512122154,
-0.002752572065219283,
-0.006217863876372576,
-0.028691351413726807,
-0.0012841239804401994,
-0.003182661486789584,
0.004174500238150358,
0.011712474748492241,
-0.03965950757265091,
-0.0036864804569631815,
0.019422486424446106,
0.0446309894323349,
0.005220758728682995,
-0.04415350407361984,
-0.0198016669601202,
-0.00017598555132281035,
-0.023509211838245392,
0.012281246483325958,
-0.0015597323654219508,
0.01794789358973503,
0.02440801076591015,
0.011628212407231331,
-0.05465821549296379,
0.017063139006495476,
0.009149493649601936,
-0.037777647376060486,
-0.008082169108092785,
0.045529790222644806,
-0.014998708851635456,
0.04788913577795029,
0.03859218209981918,
0.0057052671909332275,
-0.030165942385792732,
-0.02249806374311447,
-0.05010804533958435,
-0.029351405799388885,
-0.02356538735330105,
0.008363043889403343,
0.021515002474188805,
0.01921182870864868,
-0.022512108087539673,
-0.015518327243626118,
0.07572381943464279,
0.04741165041923523,
-0.023214293643832207,
0.01987188495695591,
0.02838238887488842,
-0.031710755079984665,
-0.02534894086420536,
0.05229886993765831,
0.029210969805717468,
0.016023902222514153,
-0.04238399118185043,
-0.013446876779198647,
-0.04564213752746582,
-0.0362328365445137,
0.005206714849919081,
0.010827720165252686,
0.033480264246463776,
0.011621191166341305,
-0.01845346763730049,
0.009830614551901817,
-0.021290302276611328,
0.08330743759870529,
-0.04788913577795029,
-0.004027041140943766,
-0.04095153138041496,
0.004479951690882444,
0.022090794518589973,
0.0379180833697319,
0.058646637946367264,
0.018256856128573418,
-0.00713772838935256,
0.0396033339202404,
0.0015386667801067233,
0.05538849160075188,
-0.006751525681465864,
0.005877302959561348,
0.04145710542798042,
0.0075204200111329556,
0.006161688826978207,
0.009957008063793182,
0.015420021489262581,
0.06128685921430588,
0.031177092343568802,
0.00938823726028204,
0.034575674682855606,
0.012295289896428585,
0.035502560436725616,
0.024871455505490303,
-0.03513742610812187,
-0.0006802434218116105,
0.026079215109348297,
0.037946172058582306,
-0.02114986442029476,
0.0038971365429461002,
0.014745921827852726,
0.013236219994723797,
-0.03766529634594917,
0.008033016696572304,
-0.03244102746248245,
0.017470406368374825,
0.03421054035425186,
-0.004824022762477398,
0.0007469511474482715,
-0.028930094093084335,
0.0059369890950620174,
-0.011192857287824154,
-0.023130031302571297,
-0.0012972899712622166,
-0.03159840404987335,
0.03530595079064369,
0.01862199231982231,
-0.03741250932216644,
0.03485655039548874,
0.027918945997953415,
0.019141610711812973,
0.027581894770264626,
0.011670343577861786,
0.0019310135394334793,
-0.018411336466670036,
0.007997906766831875,
-0.031289443373680115,
0.036176662892103195,
-0.02895818091928959,
0.023467080667614937,
-0.016318820416927338,
-0.027427414432168007,
0.004016508348286152,
-0.010645151138305664,
0.016403082758188248,
-0.004585279617458582,
-0.04479951411485672,
0.016613738611340523,
0.012028459459543228,
-0.07454414665699005,
0.021529044955968857,
-0.027806594967842102,
0.0014228059444576502,
0.056540075689554214,
-0.009135449305176735,
0.03311512619256973,
-0.02620561048388481,
-0.03589578717947006,
-0.0006302125984802842,
-0.03901349753141403,
-0.05505144223570824,
0.001990699442103505,
0.024056918919086456,
-0.037946172058582306,
-0.046793725341558456,
0.05339428037405014,
-0.009289930574595928,
0.024702930822968483,
-0.0006705883424729109,
-0.012309334240853786,
-0.007099108304828405,
-0.016108164563775063,
0.022877244278788567,
-0.03690693527460098,
-0.03513742610812187,
0.04623197764158249,
-0.0185377299785614,
-0.042159292846918106,
0.025545554235577583,
0.036766499280929565,
-0.013959472998976707,
-0.031205179169774055,
-0.0015026796609163284,
-0.0032089934684336185,
-0.020335327833890915,
-0.013980538584291935,
-0.004262273665517569,
0.025896647945046425,
0.03833939507603645,
-0.02628987282514572,
0.0038550053723156452,
-0.0724094957113266,
-0.017147401347756386,
0.013285373337566853,
-0.02679544687271118,
-0.01296236738562584,
0.010813675820827484,
-0.0013464430812746286,
-0.011593103408813477,
-0.017793413251638412,
0.028270037844777107,
0.037019286304712296,
-0.013453898020088673,
0.005589406471699476,
-0.005989653058350086,
0.022189101204276085,
0.0036970132496207952,
0.012864061631262302,
-0.014605484902858734,
0.005933478008955717,
0.012835973873734474,
0.018579861149191856,
-0.026921840384602547,
-0.008447306230664253,
0.03168266639113426,
0.020939208567142487,
-0.010448538698256016,
-0.008320912718772888,
0.0061897761188447475,
-0.0530291423201561,
0.02769424580037594,
0.04033360630273819,
-0.012576164677739143,
0.013917341828346252,
-0.04336705431342125,
0.0048170010559260845,
0.04640050232410431,
-0.008475393988192081,
0.008686049841344357,
-0.021767789497971535,
0.005147028714418411,
-0.03426671400666237,
0.034996986389160156,
0.00576846394687891,
-0.001475469907745719,
0.011712474748492241,
-0.03235676512122154,
0.038367483764886856,
-0.058646637946367264,
-0.04758017510175705,
-0.024955717846751213,
0.021781833842396736,
0.023438993841409683,
-0.06325298547744751,
-0.02283511310815811,
0.01094006933271885,
0.017498493194580078,
-0.015223409049212933,
-0.023972656577825546,
0.02912670560181141,
-0.01845346763730049,
0.042243555188179016,
-0.03047490492463112,
-0.009275887161493301,
-0.03578343614935875,
0.03825513273477554,
-0.01023788284510374,
0.06196095794439316,
-0.014703790657222271,
-0.008292825892567635,
-0.059826310724020004,
0.04471525177359581,
-0.022540194913744926,
0.003079088870435953,
0.035165511071681976,
-0.0021662460640072823,
-0.07656644284725189,
-0.0002940407139249146,
0.04867558553814888,
0.015616632997989655,
-0.028270037844777107,
-0.010645151138305664,
0.07808316498994827,
0.03673841059207916,
0.04673755168914795,
-0.015012753196060658,
-0.034996986389160156,
0.014078844338655472,
-0.017835544422268867,
0.007274654693901539,
0.0056210048496723175,
0.005308531690388918,
-0.0008338467450812459,
0.02752572111785412,
-0.020489810034632683,
0.011354359798133373,
0.03308704122900963,
-0.020939208567142487,
-0.006470650900155306,
-0.031542230397462845,
0.015714939683675766,
0.02213292568922043,
0.005989653058350086,
-0.0058281500823795795,
0.008538590744137764,
0.013861166313290596,
0.07313977181911469,
0.01675417646765709,
0.00736593920737505,
0.037777647376060486,
0.062354184687137604,
-0.0681963786482811,
0.07319594919681549,
-0.041148144751787186,
-0.006779612973332405,
0.018228767439723015,
0.056371551007032394,
-0.024464186280965805,
-0.013439854606986046,
0.025419160723686218,
0.0023435482289642096,
0.027132496237754822,
-0.02172565832734108,
-0.020363416522741318,
0.03294660151004791,
0.04269295558333397,
-0.04390071704983711,
0.0017133356304839253,
0.03013785555958748,
-0.008538590744137764,
0.036513712257146835,
0.009465477429330349,
-0.002268063137307763,
-0.0077521419152617455,
0.021838007494807243,
-0.05769166350364685,
-0.008447306230664253,
0.04100770503282547,
-0.011466709896922112,
-0.03923819586634636,
0.011649277992546558,
-0.0038550053723156452,
-0.02206270769238472,
0.00022294429072644562,
-0.011389468796551228,
-0.012976410798728466,
-0.03772147372364998,
0.003605728968977928,
-0.013467942364513874,
-0.04833853617310524,
0.02753976359963417,
0.010174686089158058,
0.006611088290810585,
-0.036597974598407745,
-0.036008138209581375,
-0.050304658710956573,
-0.001439482788555324,
-0.05361897870898247,
-0.018481554463505745,
0.0320197157561779,
0.08403771370649338,
0.02475910447537899,
-0.03817087039351463,
-0.028691351413726807,
-0.04083918035030365,
0.02620561048388481,
-0.02836834453046322,
-0.02669714018702507,
-0.004985525738447905,
0.004283339250832796,
0.0210515595972538,
0.022371670231223106,
0.040811095386743546,
0.04384453967213631,
-0.0063828774727880955,
0.016290733590722084,
0.027104409411549568,
-0.004697629250586033,
-0.03561491146683693,
0.02081281505525112,
0.042805302888154984,
-0.05752313882112503,
-0.004659009166061878,
0.01523745246231556,
-0.02637413516640663,
0.021332433447241783,
0.041316669434309006,
0.006944627035409212,
-0.03923819586634636,
-0.09454242140054703,
-0.041148144751787186,
-0.05370324105024338,
-0.04401306435465813,
-0.008826487697660923,
0.012442748993635178,
-0.007316785864531994,
0.06606172770261765,
-0.05791636183857918,
-0.02265254408121109,
-0.022189101204276085,
-0.047271210700273514,
-0.0014017403591424227,
-0.021262215450406075,
-0.0022663078270852566,
-0.0597701370716095,
0.03142987936735153,
0.005080321338027716,
-0.017400188371539116,
0.037777647376060486,
0.018397292122244835,
-0.033480264246463776,
0.0023014170583337545,
0.04193459451198578,
-0.03353643789887428,
0.002982538193464279,
0.006916539743542671,
-0.02425353042781353,
-0.020166803151369095,
0.010799632407724857,
0.02511019818484783,
-0.00696920370683074,
0.06465735286474228,
0.03494081273674965,
-0.015714939683675766,
-0.015448108315467834,
-0.028424520045518875,
-0.03578343614935875,
-0.022343583405017853,
0.054264992475509644,
-0.003035202156752348,
0.0007737220148555934,
0.018762430176138878,
0.025377029553055763,
0.017245706170797348,
-0.058309588581323624,
-0.05193373188376427,
0.008854574523866177,
-0.021430740132927895,
-0.018158549442887306,
-0.011403513140976429,
0.005550786387175322,
-0.021866096183657646,
0.010251926258206367,
-0.009788483381271362,
0.004357068799436092,
0.0024225444067269564,
-0.02022297866642475,
0.07842021435499191,
-0.025489378720521927,
-0.033676877617836,
-0.02442205511033535,
0.05690521374344826,
0.01057493221014738,
-0.024899542331695557,
0.006389899645000696,
-0.060163360089063644,
0.002717462833970785,
0.007590638939291239,
0.012702558189630508,
-0.03311512619256973,
0.0010208040475845337,
0.023214293643832207,
0.04920924827456474,
0.039294369518756866,
0.004114814568310976,
0.022090794518589973,
-0.008945859037339687,
-0.046288151293992996,
0.0007824993808753788,
0.007885557599365711,
0.010209795087575912,
0.05019230768084526,
-0.02929523214697838,
0.026233697310090065,
-0.01006233599036932,
0.012541055679321289,
-0.032890427857637405,
-0.026655009016394615,
0.000738173839636147,
0.01208463404327631,
-0.046203888952732086,
0.004069172311574221,
0.011326272040605545,
-0.06274741142988205,
0.018636036664247513,
0.021669482812285423,
-0.015869420021772385,
0.01945057325065136,
0.02887391857802868,
-0.01225315872579813,
0.05162477120757103,
-0.018593905493617058,
-0.02089707739651203,
0.03269381448626518,
-0.020335327833890915,
0.015869420021772385,
-0.01267447043210268,
0.005231291521340609,
-0.01069430448114872,
0.041822243481874466,
0.014970622025430202,
-0.02526467852294445,
-0.009844657965004444,
0.02341090701520443,
-0.011628212407231331,
-0.00028416619170457125,
-0.01153692789375782,
0.060500409454107285,
-0.0016194181516766548,
0.021346477791666985,
-0.007646813523024321,
0.05735461413860321,
0.013882231898605824,
-0.005568340886384249,
-0.01626264490187168,
0.011192857287824154,
0.01330643892288208,
-0.006498738192021847,
0.005027657374739647,
0.014549309387803078,
0.0395471565425396,
-0.03850791975855827,
-0.031626492738723755,
0.019689315930008888,
0.04449055343866348,
0.02442205511033535,
-0.008068125694990158,
0.030025506392121315,
-0.054293081164360046,
-0.020784728229045868,
-0.020770683884620667,
-0.03311512619256973,
-0.03971568122506142,
0.0013903297949582338,
0.03480037674307823,
0.0007223746506497264,
-0.020152760669589043,
-0.03645753487944603,
-0.012632339261472225,
0.017329968512058258,
0.028607089072465897,
-0.02551746740937233,
0.03303086385130882,
-0.0488721989095211,
-0.027680201455950737,
-0.03134561702609062,
-0.0320197157561779,
-0.054630130529403687,
0.027301020920276642,
-0.051063019782304764,
0.0043711126782000065,
-0.03376113995909691,
0.004996058531105518,
-0.029744630679488182,
0.03013785555958748,
-0.008243672549724579,
0.002775393193587661,
0.007667879574000835,
0.03640136122703552,
-0.004114814568310976,
0.008152388036251068,
0.0022417311556637287,
0.011227966286242008,
-0.011628212407231331,
0.004564214032143354,
-0.06094980984926224,
0.025054022669792175,
-0.011059441603720188,
0.02662692219018936,
-0.04269295558333397,
-0.04890028387308121,
-0.04333896562457085,
0.0011963506694883108,
-0.039462894201278687,
-0.011319250799715519,
-0.03227250277996063,
0.010104467160999775,
0.014914446510374546,
-0.01287810504436493,
0.03505316376686096,
0.038536008447408676,
0.005919434130191803,
0.053927943110466,
0.008664984256029129,
0.022287407889962196,
-0.026655009016394615,
0.00042657845187932253,
-0.02659883350133896,
0.03005359321832657,
-0.008559656329452991,
0.03814278542995453,
-0.056118763983249664,
0.036176662892103195,
-0.014577397145330906,
0.043254703283309937,
-0.0008895828505046666,
0.042159292846918106,
-0.06302828341722488,
0.00812430027872324,
0.01744231954216957,
-0.05111919716000557,
0.03258146718144417,
-0.028579000383615494,
0.00015952804824337363,
0.0019152143504470587,
-0.015686852857470512,
-0.011902065016329288,
-0.02046172134578228,
-0.04429394006729126,
0.022596370428800583,
-0.0064214980229735374,
-0.011319250799715519,
-0.02575621008872986,
-0.0010682016145437956,
-0.021023470908403397,
0.033985838294029236,
-0.011445644311606884,
-0.000008167035048245452,
0.03333982825279236,
-0.02381817437708378,
0.010750479064881802,
0.02407096140086651,
-0.01355922594666481,
0.00825069472193718,
0.015813246369361877,
-0.055865976959466934,
-0.015883464366197586,
0.06505057960748672,
0.024197354912757874,
0.04409732669591904,
0.036935023963451385,
-0.023776043206453323,
0.005283955484628677,
0.05235504359006882,
-0.011754605919122696,
0.030840042978525162,
0.03311512619256973,
0.01641712710261345,
-0.01776532456278801,
-0.03859218209981918,
-0.013776903972029686,
-0.015953682363033295,
-0.001063812873326242,
0.040642570704221725,
-0.04581066220998764,
-0.0437602773308754,
0.05370324105024338,
0.04420967772603035,
-0.058478113263845444,
0.027216758579015732,
0.03294660151004791,
0.025896647945046425,
0.01490040309727192,
-0.03690693527460098,
0.011382447555661201,
-0.008222606964409351,
0.004009486176073551,
-0.006017740350216627,
0.010588976554572582,
-0.008707115426659584,
0.013067695312201977,
0.0345475897192955,
0.04170989245176315,
-0.0019819221924990416,
0.0030316913034766912,
0.0147318784147501,
0.033480264246463776,
-0.013032586313784122,
0.013748816214501858,
0.015588546171784401,
-0.07527442276477814,
0.03005359321832657,
-0.014422915875911713,
0.002127625746652484,
-0.0018221746431663632,
-0.020756639540195465,
0.06701670587062836,
-0.055276140570640564,
0.021290302276611328,
-0.009844657965004444,
-0.004107792396098375,
0.04398497939109802,
0.0039708660915493965,
-0.05283253267407417,
0.032974690198898315,
0.02501189149916172,
-0.004170989152044058,
-0.01182482484728098,
-0.0018783495761454105,
-0.010680260136723518,
-0.04120431840419769,
0.007513398304581642,
-0.012632339261472225,
0.018565818667411804,
-0.0028701883275061846,
0.0009066986385732889,
-0.02022297866642475,
-0.031626492738723755,
0.019268004223704338,
-0.047271210700273514,
-0.02072855271399021,
0.051315806806087494,
-0.006242440082132816,
-0.010764522477984428,
0.0020486298017203808,
-0.006224885582923889,
-0.005673668812960386,
0.04516465216875076,
0.00690600648522377,
0.022273363545536995,
-0.016950787976384163,
0.04260869324207306,
0.01288512721657753,
0.04755208641290665,
0.006762058474123478,
-0.007323808036744595,
-0.010160642676055431,
-0.01296938955783844,
-0.04109196737408638,
-0.030924305319786072,
-0.06847725063562393,
-0.003767231944948435,
0.02980080619454384,
-0.0067831240594387054,
0.012358486652374268,
-0.02652861550450325,
0.022203145548701286,
0.02912670560181141,
-0.04575448855757713,
0.04440629109740257,
-0.003942778799682856,
-0.001664182636886835,
-0.02937949448823929,
-0.027820639312267303,
0.004304404836148024,
-0.040474046021699905,
0.0733082965016365,
-0.02534894086420536,
0.015420021489262581,
0.025573641061782837,
-0.025124242529273033,
-0.0147318784147501,
-0.05513570457696915,
-0.05384368076920509,
0.00884755328297615,
0.04471525177359581,
-0.04201885685324669,
-0.009500586427748203,
-0.05170903354883194,
-0.012709580361843109,
0.016023902222514153,
-0.03774955868721008,
0.012042502872645855,
-0.018579861149191856,
0.03387348726391792,
0.03645753487944603,
-0.03749677166342735,
0.00943738967180252,
-0.026669053360819817,
0.011789715848863125,
-0.003556575858965516,
-0.003435448743402958,
-0.0210515595972538,
0.05019230768084526,
0.042749129235744476,
-0.01895904168486595,
0.0059931641444563866,
-0.021079646423459053,
0.06729757785797119,
0.004153434652835131,
-0.061848610639572144,
-0.034491412341594696,
-0.023635605350136757,
0.04626006260514259,
-0.0021188484970480204,
0.04749591276049614,
0.03640136122703552,
0.00046651531010866165,
-0.01835516095161438,
-0.05583789199590683,
0.060163360089063644,
-0.050810232758522034,
-0.009921899065375328,
-0.05204608291387558,
-0.01490040309727192,
0.01355922594666481,
0.007302742451429367,
-0.007288698572665453,
-0.04864749684929848,
0.22874435782432556,
0.01145266555249691,
0.017315926030278206,
-0.0034933791030198336,
0.02173970267176628,
0.03732824698090553,
0.04794531315565109,
-0.03378922492265701,
0.005269911605864763,
0.015686852857470512,
0.009072252549231052,
0.0011779182823374867,
0.025559598580002785,
-0.0480014868080616,
0.003036957699805498,
0.02770829014480114,
-0.0008215585257858038,
0.0022540194913744926,
0.029913155362010002,
-0.03013785555958748,
-0.05920838564634323,
-0.026051128283143044,
-0.04033360630273819,
0.049911435693502426,
-0.011277119629085064,
0.03800234571099281,
0.03359261527657509,
0.006958670914173126,
0.020321285352110863,
-0.05763548985123634,
-0.022736806422472,
0.012049525044858456,
0.033396001905202866,
-0.054602041840553284,
-0.02662692219018936,
0.023298555985093117,
-0.0024085005279630423,
-0.05260783061385155,
0.015420021489262581,
0.023593474179506302,
0.040895357728004456,
-0.0009119650349020958,
0.034828461706638336,
-0.008426240645349026,
0.04721503704786301,
0.06561233103275299,
-0.039210107177495956,
0.001778287929482758,
0.022764895111322403,
-0.010427473112940788,
0.02122008427977562,
-0.006119557656347752,
-0.005592917557805777,
-0.03595196083188057,
-0.017161443829536438,
-0.010041270405054092,
0.05960161238908768,
-0.031120916828513145,
0.022610412910580635,
-0.0437883660197258,
0.012702558189630508,
-0.022807026281952858,
0.08106043934822083,
0.0013104560784995556,
-0.03738442435860634,
-0.01128414086997509,
0.01946461759507656,
0.08246481418609619,
-0.02300363779067993,
-0.036766499280929565,
-0.020251065492630005,
-0.06802785396575928,
-0.008243672549724579,
-0.03766529634594917,
0.028747525066137314,
-0.037946172058582306,
0.03072769194841385,
0.0040937489829957485,
0.01216889638453722,
-0.06684818118810654,
-0.020672377198934555,
0.011445644311606884,
0.03227250277996063,
0.019071392714977264,
0.052158430218696594,
0.023453038185834885,
0.004072683397680521,
-0.0774652436375618,
-0.03797426074743271,
0.02845260687172413,
0.023424949496984482,
0.012562121264636517,
-0.0048977527767419815,
-0.04449055343866348,
0.02459057979285717
] |
1214_4 | Unique to Anglicanism is the Book of Common Prayer (BCP), the collection of services that worshippers in most Anglican churches have used for centuries. It was called common prayer originally because it was intended for use in all Church of England churches, which had previously followed differing local liturgies. The term was kept when the church became international, because all Anglicans used to share in its use around the world.
In 1549, the first Book of Common Prayer was compiled by Thomas Cranmer, who was then Archbishop of Canterbury. While it has since undergone many revisions and Anglican churches in different countries have developed other service books, the Prayer Book is still acknowledged as one of the ties that bind Anglicans together.
Identity
Early history
The founding of Christianity in Britain is commonly attributed to Joseph of Arimathea, according to Anglican legend, and is commemorated in Glastonbury Abbey. Many of the early Church Fathers wrote of the presence of Christianity in Roman Britain, with Tertullian stating "those parts of Britain into which the Roman arms had never penetrated were become subject to Christ". Saint Alban, who was executed in AD 209, is the first Christian martyr in the British Isles. For this reason he is venerated as the British protomartyr. The historian Heinrich Zimmer writes that "Just as Britain was a part of the Roman Empire, so the British Church formed (during the fourth century) a branch of the Catholic Church of the West; and during the whole of that century, from the Council of Arles (316) onward, took part in all proceedings concerning the Church."
After Roman troops withdrew from Britain, the "absence of Roman military and governmental influence and overall decline of Roman imperial political power enabled Britain and the surrounding isles to develop distinctively from the rest of the West. A new culture emerged around the Irish Sea among the Celtic peoples with Celtic Christianity at its core. What resulted was a form of Christianity distinct from Rome in many traditions and practices." | [
0.007701560389250517,
-0.04719802737236023,
0.043587248772382736,
-0.007443647366017103,
0.01083233393728733,
0.02113451436161995,
-0.0001201129998662509,
-0.02892920933663845,
0.03553464263677597,
-0.028313085436820984,
-0.011455623432993889,
-0.04069289565086365,
-0.004259142093360424,
-0.023799613118171692,
-0.052356280386447906,
-0.07387766242027283,
-0.01938643865287304,
-0.008038279600441456,
-0.04928998649120331,
0.018211502581834793,
0.0067128948867321014,
0.019056884571909904,
-0.0609247162938118,
-0.055709145963191986,
0.034331049770116806,
0.014092064462602139,
0.02900085225701332,
-0.039460644125938416,
0.034159105271101,
0.056826766580343246,
-0.020919587463140488,
-0.0013128473656252027,
-0.0034316719975322485,
-0.02679426595568657,
-0.0076370821334421635,
0.01220786850899458,
0.02574828639626503,
-0.06774507462978363,
0.011376816779375076,
-0.012730858288705349,
0.0035928674042224884,
-0.03713943064212799,
-0.023942897096276283,
-0.008339177817106247,
-0.007794695440679789,
0.010896812193095684,
0.044876813888549805,
0.028069499880075455,
-0.010051432065665722,
-0.006268711760640144,
0.018498072400689125,
0.006171994376927614,
-0.017409108579158783,
-0.026077840477228165,
0.03759794309735298,
-0.027940543368458748,
0.018569715321063995,
-0.02441573701798916,
-0.007701560389250517,
-0.03510478511452675,
0.025877242907881737,
-0.008138579316437244,
0.003272267524152994,
-0.015661032870411873,
-0.0298319049179554,
0.005856767762452364,
0.001110457582399249,
0.02434409409761429,
0.029402049258351326,
-0.03521941602230072,
0.005072283558547497,
0.005559451878070831,
0.009736205451190472,
-0.03702480345964432,
0.020905258134007454,
-0.050321634858846664,
-0.016993582248687744,
0.00011709058162523434,
0.025877242907881737,
-0.010151730850338936,
0.018369115889072418,
0.03871556371450424,
-0.0360504649579525,
-0.02662232331931591,
-0.0441603884100914,
-0.010646063834428787,
-0.04258425533771515,
0.04347262158989906,
-0.020776301622390747,
-0.012601901777088642,
0.00925620086491108,
0.009714712388813496,
-0.00798096600919962,
-0.00833201315253973,
0.024716636165976524,
0.024616336449980736,
-0.02812681533396244,
0.026665309444069862,
-0.0007459766929969192,
0.028026515617966652,
0.05914798378944397,
0.06109665706753731,
-0.03745465725660324,
0.019715994596481323,
-0.057342592626810074,
0.014464604668319225,
-0.034818217158317566,
-0.011340995319187641,
-0.021721981465816498,
-0.06447818130254745,
0.008339177817106247,
0.022295121103525162,
0.030720269307494164,
-0.05181179940700531,
0.044905468821525574,
0.010782184079289436,
-0.0790359154343605,
0.004975566174834967,
-0.014536247588694096,
0.045822493731975555,
0.006594684906303883,
0.02963130548596382,
0.002656142693012953,
-0.02152138389647007,
-0.023985883221030235,
0.0019486738601699471,
-0.004989894572645426,
0.01586163230240345,
-0.04049229621887207,
0.03398716449737549,
0.0342450775206089,
-0.02686590701341629,
-0.04069289565086365,
0.0002767188416328281,
0.007930816151201725,
0.03587852418422699,
0.04418904706835747,
0.03438836336135864,
-0.020847944542765617,
-0.06522326171398163,
0.006243636831641197,
-0.011169053614139557,
-0.06367578357458115,
0.07697261869907379,
0.02473096363246441,
0.007687231991440058,
-0.0064263250678777695,
0.034531645476818085,
-0.03759794309735298,
0.013182205148041248,
0.041523948311805725,
0.02533276006579399,
0.028485026210546494,
0.011634728871285915,
-0.00142120651435107,
-0.012422795407474041,
-0.04003378376364708,
-0.039202731102705,
-0.023326773196458817,
0.008496791124343872,
-0.053044047206640244,
0.037082117050886154,
0.009578592143952847,
0.02630709670484066,
-0.02162168174982071,
0.03570658341050148,
-0.017179852351546288,
-0.03209580481052399,
-0.004255559761077166,
-0.01967300847172737,
-0.015130879357457161,
0.006609013304114342,
-0.027138149365782738,
0.017838962376117706,
0.02477394975721836,
0.053645845502614975,
0.012781008146703243,
-0.039431989192962646,
0.00410511065274477,
0.0019415096612647176,
-0.002281811088323593,
0.005391092039644718,
0.0031451021786779165,
-0.0028800254222005606,
0.0031218184158205986,
0.026464710012078285,
-0.041208721697330475,
0.010767855681478977,
0.03384387865662575,
-0.01775299198925495,
0.013669374398887157,
0.035305384546518326,
-0.024301109835505486,
0.05055089294910431,
0.050780147314071655,
-0.020633017644286156,
-0.01186398509889841,
-0.00829619262367487,
-0.028184128925204277,
-0.034015823155641556,
-0.035964496433734894,
0.02016017772257328,
0.039202731102705,
0.0310928113758564,
-0.04421770200133324,
-0.021091528236865997,
0.09582890570163727,
0.038314368575811386,
0.008675897493958473,
0.01354041788727045,
0.03842899575829506,
-0.0596638098359108,
-0.02106287144124508,
0.06023694947361946,
0.022366764023900032,
0.033098798245191574,
-0.016506412997841835,
-0.04301410913467407,
-0.03318477049469948,
-0.03315611183643341,
-0.01768134906888008,
0.03759794309735298,
0.03143669292330742,
-2.9734403028669476e-7,
-0.026192469522356987,
-0.007386333774775267,
-0.007866337895393372,
0.10654661059379578,
-0.04418904706835747,
0.006673491559922695,
-0.028141142800450325,
0.016119545325636864,
0.020847944542765617,
0.019200168550014496,
0.022295121103525162,
0.012129061855375767,
-0.029573991894721985,
0.022553034126758575,
-0.04321470856666565,
0.03556329756975174,
-0.031178781762719154,
0.0037791377399116755,
0.04811504855751991,
0.017337465658783913,
0.03209580481052399,
0.0047427280806005,
0.045679207891225815,
0.03905944898724556,
0.00904843769967556,
0.021019887179136276,
0.03269759938120842,
0.028499355539679527,
0.011978613212704659,
0.00880485400557518,
0.022653333842754364,
-0.004971983842551708,
0.02616381272673607,
0.027553675696253777,
-0.03155132383108139,
-0.022839603945612907,
0.001062098890542984,
0.024845590814948082,
0.003200625069439411,
-0.019959578290581703,
0.00757260387763381,
0.02030346170067787,
0.05103806033730507,
-0.007665738929063082,
0.010903976857662201,
-0.04146663472056389,
0.0021152424160391092,
-0.0239715538918972,
-0.019329125061631203,
-0.0009089632076211274,
-0.0183404590934515,
0.03043370135128498,
-0.0060179634019732475,
-0.06287338584661484,
0.048487588763237,
-0.018569715321063995,
0.007071107160300016,
0.012078911997377872,
-0.008991124108433723,
-0.009743369184434414,
-0.017251495271921158,
-0.03183789178729057,
-0.034961502999067307,
0.010474122129380703,
-0.021263470873236656,
0.018927928060293198,
-0.012551751919090748,
-0.016678355634212494,
-0.003381522372364998,
0.007937979884445667,
0.0023444981779903173,
0.0310928113758564,
-0.0023982301354408264,
0.026006199419498444,
-0.03791316971182823,
-0.06728655844926834,
0.01419952791184187,
-0.05023566633462906,
-0.0024304690305143595,
0.03461761772632599,
0.009349335916340351,
0.021091528236865997,
-0.03473224490880966,
-0.02756800316274166,
0.012351153418421745,
-0.009600084275007248,
-0.04768519476056099,
0.0088550029322505,
0.01240130327641964,
-0.0534452460706234,
-0.05568049103021622,
0.033414024859666824,
-0.00043410828220658004,
0.029860561713576317,
-0.017523735761642456,
-0.004875266924500465,
-0.012444288469851017,
-0.05456286668777466,
-0.007608425337821245,
0.0029212196823209524,
-0.028914881870150566,
0.0653378888964653,
-0.011226367205381393,
-0.02679426595568657,
0.01346877496689558,
-0.005634676199406385,
0.006820358335971832,
-0.022796617820858955,
0.00987232569605112,
-0.06264413148164749,
-0.020045548677444458,
-0.024028867483139038,
0.01719418168067932,
0.015173864550888538,
0.020733317360281944,
-0.012394138611853123,
-0.015016251243650913,
-0.05419032648205757,
-0.04143797606229782,
-0.0011534430086612701,
-0.01831180229783058,
-0.014264006167650223,
-0.026822922751307487,
-0.014973266050219536,
-0.013024591840803623,
-0.0174377653747797,
0.029745932668447495,
0.03329939767718315,
-0.008790524676442146,
0.011527265422046185,
0.010252030566334724,
0.03734003007411957,
0.01355474628508091,
-0.006171994376927614,
-0.027152476832270622,
0.02162168174982071,
0.018297474831342697,
0.021721981465816498,
-0.02410051040351391,
-0.016047902405261993,
0.01977330818772316,
-0.0015725510893389583,
-0.0065087140537798405,
0.0205470472574234,
0.014213856309652328,
-0.015331477858126163,
0.02616381272673607,
0.04373053461313248,
-0.025905899703502655,
0.012236525304615498,
-0.05017835274338722,
0.023985883221030235,
0.06040889024734497,
-0.012243689969182014,
0.029158465564250946,
-0.027825916185975075,
0.024372750893235207,
-0.015073565766215324,
0.02864263951778412,
-0.0026686801575124264,
0.014328484423458576,
0.006594684906303883,
-0.02438708022236824,
0.013060413300991058,
-0.008518284186720848,
-0.013017428107559681,
-0.02033211849629879,
0.01760970801115036,
0.04880281537771225,
-0.0883207768201828,
-0.0010719497222453356,
-0.03438836336135864,
0.046940114349126816,
0.010259194299578667,
-0.009714712388813496,
0.05006372556090355,
0.018569715321063995,
0.0441603884100914,
-0.027439046651124954,
0.049032073467969894,
-0.029745932668447495,
0.01911419816315174,
-0.0417245477437973,
0.09342171996831894,
-0.04398844763636589,
-0.01768134906888008,
-0.021750638261437416,
0.04800042137503624,
-0.028814582154154778,
0.01918584108352661,
0.040463637560606,
0.018913598731160164,
-0.06442086398601532,
-0.032955512404441833,
0.05258553847670555,
0.00641916086897254,
-0.049175359308719635,
-0.02871428243815899,
0.04126603528857231,
0.022094523534178734,
0.016692684963345528,
-0.031150124967098236,
-0.02368498407304287,
-0.005416166968643665,
-0.01687895506620407,
0.006752298213541508,
0.013074741698801517,
-0.000026138290195376612,
0.011405473574995995,
0.013332654722034931,
0.0012215032475069165,
0.020633017644286156,
0.0056561692617833614,
-0.02365632727742195,
-0.015847302973270416,
-0.06963643431663513,
0.026106499135494232,
0.03814242407679558,
-0.022022880613803864,
-0.0155464056879282,
0.00326152122579515,
0.04524935409426689,
0.04404576122760773,
0.02480260655283928,
0.033557310700416565,
0.05072283372282982,
0.054304953664541245,
-0.06614028662443161,
0.02477394975721836,
-0.0621856227517128,
0.007407826371490955,
0.019615694880485535,
0.04527800902724266,
-0.03828570991754532,
-0.026951879262924194,
0.026851579546928406,
0.0021510636433959007,
0.043902475386857986,
-0.013834151439368725,
-0.011921298690140247,
0.0062113977037370205,
0.05247090756893158,
-0.02246706373989582,
-0.01156308688223362,
0.030863555148243904,
0.028427712619304657,
0.0027976364362984896,
-0.005996470805257559,
0.00789499469101429,
0.012057419866323471,
0.0138556445017457,
-0.0559670589864254,
0.015489091165363789,
-0.0008167236228473485,
-0.01690761186182499,
-0.04014841094613075,
0.01792493462562561,
0.007866337895393372,
-0.030491014942526817,
0.009671727195382118,
-0.03456030413508415,
-0.022352434694767,
-0.03828570991754532,
-0.012709365226328373,
-0.013698031194508076,
-0.03135072439908981,
-0.0003479135048110038,
-0.002348080277442932,
-0.028871895745396614,
-0.026120826601982117,
-0.008217385970056057,
-0.026522023603320122,
-0.00019085989333689213,
-0.08178699016571045,
-0.02994653210043907,
0.000008017794243642129,
0.0939948558807373,
0.045707862824201584,
-0.03765525668859482,
0.005631094332784414,
-0.030720269307494164,
0.022452734410762787,
-0.0048788487911224365,
-0.009635905735194683,
-0.015489091165363789,
0.02910115197300911,
0.004234067164361477,
0.007844844833016396,
0.04590846225619316,
0.027854572981595993,
0.012143390253186226,
-0.008138579316437244,
0.02494589053094387,
0.019558381289243698,
-0.04244096949696541,
0.016334472224116325,
0.035420011729002,
-0.06212830916047096,
0.031150124967098236,
0.003143311245366931,
0.0028406220953911543,
0.025447387248277664,
0.03828570991754532,
0.01855538785457611,
-0.0010352330282330513,
-0.053502559661865234,
-0.044103074818849564,
-0.051754485815763474,
-0.04748459532856941,
0.00798096600919962,
-0.00798096600919962,
-0.005254971794784069,
0.05143925920128822,
-0.039632588624954224,
-0.012515931390225887,
-0.05272882059216499,
-0.015202521346509457,
-0.02329811453819275,
0.004803624469786882,
0.012157718650996685,
-0.0242437943816185,
0.0011355323949828744,
-0.02837039902806282,
-0.0037325702141970396,
0.021406754851341248,
-0.01386997289955616,
-0.02222347818315029,
-0.0014274752466008067,
0.036594949662685394,
-0.018082547932863235,
-0.011484280228614807,
-0.003929586615413427,
-0.012609066441655159,
0.0008377685444429517,
-0.009643069468438625,
0.04493412747979164,
0.012243689969182014,
0.05739990621805191,
0.014658039435744286,
-0.028112486004829407,
-0.03662360459566116,
0.004599443636834621,
-0.019415095448493958,
-0.003972572274506092,
0.031121468171477318,
0.0004992581089027226,
0.0049612377770245075,
0.0578584186732769,
0.033414024859666824,
0.021535711362957954,
-0.04378784820437431,
-0.03533404320478439,
0.007089017424732447,
-0.015503419563174248,
0.0017749409889802337,
0.01144129503518343,
0.006343936547636986,
-0.002724203048273921,
0.020418090745806694,
-0.00400839326903224,
0.012888471595942974,
-0.050923433154821396,
-0.03301282599568367,
0.07559708505868912,
-0.010459793731570244,
-0.03791316971182823,
-0.03602181002497673,
0.046452946960926056,
0.013454446569085121,
-0.00015235209139063954,
0.026536352932453156,
-0.053187333047389984,
-0.007558275479823351,
0.017409108579158783,
0.039116762578487396,
-0.027381733059883118,
-0.00745797622948885,
-0.009041273966431618,
0.05057954788208008,
0.024301109835505486,
0.00578154344111681,
-0.0019361363956704736,
-0.03284088522195816,
-0.03814242407679558,
0.008668732829391956,
0.007665738929063082,
0.02113451436161995,
0.06568177044391632,
-0.02487424947321415,
-0.0011400100775063038,
-0.044418301433324814,
-0.003768391441553831,
-0.01576133258640766,
-0.024902906268835068,
-0.02348438650369644,
-0.014930280856788158,
-0.05505003780126572,
-0.0052872104570269585,
0.025662316009402275,
-0.06510863453149796,
0.030233101919293404,
-0.0006895582773722708,
0.001590461703017354,
0.000057425877457717434,
0.0016432980773970485,
-0.00006923568435013294,
0.027897559106349945,
-0.013898629695177078,
-0.034187763929367065,
0.03917407616972923,
-0.006601849105209112,
0.021148841828107834,
0.001937927445396781,
0.02249572053551674,
0.01739477925002575,
0.028499355539679527,
0.009635905735194683,
-0.05516466498374939,
0.003553464077413082,
-0.0012501602759584785,
0.01596193201839924,
0.02319781668484211,
0.009686055593192577,
0.031150124967098236,
0.030347729101777077,
0.02096257172524929,
0.03837168216705322,
0.05585243180394173,
0.023240800946950912,
-0.028556669130921364,
-0.03060564212501049,
-0.0009188140393234789,
-0.0048788487911224365,
-0.013189369812607765,
0.009822175838053226,
0.024516036733984947,
0.03269759938120842,
-0.02417215332388878,
-0.035649269819259644,
0.009929639287292957,
0.040463637560606,
0.013397132977843285,
-0.025776943191885948,
0.015618047676980495,
-0.028456369414925575,
-0.03281223028898239,
-0.04418904706835747,
-0.013819823041558266,
-0.015560734085738659,
-0.03200983256101608,
0.0006564236828126013,
-0.04140932112932205,
-0.05112403258681297,
-0.03301282599568367,
0.01816851831972599,
-0.016234172508120537,
0.04906072840094566,
-0.02385692670941353,
0.005183329340070486,
-0.030863555148243904,
-0.059721123427152634,
-0.02756800316274166,
-0.01649208553135395,
-0.06189905107021332,
-0.002271064789965749,
-0.045707862824201584,
0.034502990543842316,
-0.020704660564661026,
-0.017237165942788124,
-0.013425789773464203,
0.021363770589232445,
-0.016234172508120537,
-0.003399432869628072,
-0.0016862835036590695,
0.0429854542016983,
0.025246789678931236,
0.016864625737071037,
-0.011183382011950016,
0.031952518969774246,
0.02326945774257183,
0.01232966035604477,
-0.030347729101777077,
0.013311161659657955,
-0.014349976554512978,
0.03332805261015892,
-0.04464755579829216,
-0.027754273265600204,
-0.05516466498374939,
0.01624850183725357,
-0.011068753898143768,
0.012358318082988262,
-0.016864625737071037,
0.019400767982006073,
-0.004166006576269865,
-0.0015967304352670908,
0.06453549116849899,
0.03805645555257797,
0.021750638261437416,
0.021163171157240868,
0.04765653982758522,
-0.006057366728782654,
-0.011785178445279598,
-0.02273930422961712,
-0.02571962960064411,
0.034015823155641556,
-0.025447387248277664,
0.0015868796035647392,
-0.03619375079870224,
0.025877242907881737,
-0.0071355849504470825,
0.05023566633462906,
-0.044561587274074554,
0.03653763607144356,
-0.060007691383361816,
-0.0047463104128837585,
0.040463637560606,
-0.0410081222653389,
0.04066423699259758,
-0.04883147403597832,
-0.02134944126009941,
-0.010173223912715912,
-0.04565054923295975,
-0.02197989448904991,
-0.03315611183643341,
-0.030662955716252327,
0.025705300271511078,
0.029258765280246735,
-0.013110563158988953,
-0.0013728479389101267,
0.013948779553174973,
0.029015179723501205,
0.02218049392104149,
-0.022510048002004623,
0.009900982491672039,
0.0005256762378849089,
-0.04593712091445923,
0.031150124967098236,
0.012902799993753433,
0.00745797622948885,
0.013110563158988953,
0.006795283406972885,
-0.028771596029400826,
0.0006380653358064592,
0.0233411006629467,
0.04897475987672806,
0.03221043199300766,
0.025619329884648323,
-0.019200168550014496,
-0.005283628590404987,
0.01994525082409382,
-0.05244225263595581,
0.02316915988922119,
0.053961072117090225,
0.005147507879883051,
0.025934556499123573,
-0.01683596894145012,
-0.020346447825431824,
-0.02528977394104004,
0.02011719159781933,
0.03031907230615616,
-0.0435299351811409,
-0.04318604990839958,
0.06424891948699951,
0.03948930278420448,
-0.05424764007329941,
0.015875959768891335,
0.03699614480137825,
0.05112403258681297,
0.005663333460688591,
-0.04083618149161339,
-0.025375746190547943,
-0.015374463982880116,
0.020360775291919708,
0.002580918138846755,
-0.008969631046056747,
0.014142214320600033,
0.00262927683070302,
0.024358423426747322,
0.04003378376364708,
-0.0397472158074379,
0.010868155397474766,
0.015875959768891335,
0.023212144151329994,
0.014443112537264824,
-0.014371469616889954,
0.014658039435744286,
-0.07972368597984314,
0.038486309349536896,
-0.03364327922463417,
-0.019400767982006073,
-0.02655068039894104,
-0.017595378682017326,
0.053473904728889465,
-0.03828570991754532,
0.024043196812272072,
-0.0024089764337986708,
-0.04943327233195305,
0.027754273265600204,
0.0006367220194078982,
-0.018182845786213875,
0.031637292355298996,
0.04000512883067131,
-0.025031862780451775,
0.014106392860412598,
0.0006062739994376898,
-0.0004392575938254595,
-0.025834256783127785,
0.04017706960439682,
0.006075277458876371,
0.007672903127968311,
0.0004079140489920974,
-0.004860938061028719,
-0.012415631674230099,
-0.031121468171477318,
-0.0000035926154851040337,
-0.03716808930039406,
-0.02497454732656479,
0.03728271648287773,
0.025834256783127785,
-0.02910115197300911,
-0.013339818455278873,
-0.006881254725158215,
-0.028212785720825195,
0.048086393624544144,
0.026679636910557747,
-0.01712253876030445,
-0.0033743579406291246,
0.027926215901970863,
0.00955709908157587,
0.045392636209726334,
0.016434771940112114,
0.004731982015073299,
-0.002837039763107896,
-0.024258123710751534,
-0.03688151761889458,
-0.04691145569086075,
-0.07169973850250244,
-0.00871888268738985,
0.024258123710751534,
-0.010266358964145184,
0.0018824046710506082,
-0.01600491628050804,
0.03656629100441933,
0.04433232918381691,
-0.038486309349536896,
0.012437124736607075,
0.007429318968206644,
0.01053143572062254,
-0.011312338523566723,
0.005910499952733517,
0.029402049258351326,
-0.0410940945148468,
0.08195892721414566,
-0.01683596894145012,
0.015489091165363789,
0.03825705125927925,
-0.0023230055812746286,
-0.0013280713465064764,
-0.05264285206794739,
-0.04622368887066841,
-0.02273930422961712,
0.029201451689004898,
-0.02193691022694111,
0.01008008886128664,
-0.03186655044555664,
-0.06763044744729996,
0.029015179723501205,
-0.00716065987944603,
-0.005072283558547497,
-0.009600084275007248,
0.021564368158578873,
0.007622753735631704,
0.008446641266345978,
0.0342450775206089,
-0.03378656506538391,
-0.005505720153450966,
-0.0012680708896368742,
-0.0013674746733158827,
-0.012623394839465618,
0.05545123293995857,
0.045048754662275314,
-0.006347518414258957,
-0.0028280846308916807,
-0.03447433188557625,
0.04688280075788498,
0.018469415605068207,
-0.03527672961354256,
-0.025160817429423332,
-0.028528012335300446,
0.021363770589232445,
-0.012172047048807144,
0.027653975412249565,
0.06321727484464645,
0.007737381383776665,
0.00378988403826952,
-0.04897475987672806,
0.06699999421834946,
-0.08150041848421097,
-0.01974465139210224,
-0.03178057819604874,
-0.029187122359871864,
0.03186655044555664,
0.022696318104863167,
0.01918584108352661,
-0.035620611160993576,
0.23934300243854523,
0.026880236342549324,
-0.017581049352884293,
-0.0020364357624202967,
0.012566080316901207,
0.03587852418422699,
0.03742600232362747,
-0.009399485774338245,
0.021220484748482704,
0.01112606842070818,
-0.017982248216867447,
0.007479468826204538,
0.006562445778399706,
-0.014987594448029995,
0.0258199293166399,
0.040263041853904724,
-0.010825170204043388,
-0.003023310098797083,
0.006655580829828978,
-0.04221171513199806,
-0.08109921962022781,
-0.0270808357745409,
-0.05791573226451874,
0.019343454390764236,
-0.02875726856291294,
0.01697925291955471,
0.027066506445407867,
-0.03616509586572647,
0.00859709084033966,
-0.0417245477437973,
-0.01935778185725212,
0.004588697105646133,
0.03584986925125122,
-0.04189648851752281,
-0.02302587404847145,
0.012365481816232204,
-0.001088069286197424,
-0.02351304329931736,
-0.004502726253122091,
0.0016370293451473117,
0.02900085225701332,
0.0026185305323451757,
0.020733317360281944,
0.02113451436161995,
0.039603929966688156,
0.10144566744565964,
-0.02965996228158474,
-0.010302180424332619,
0.013862808234989643,
0.02808382920920849,
0.05697005242109299,
-0.014292662963271141,
-0.01437863428145647,
-0.021650340408086777,
-0.029688619077205658,
-0.019486738368868828,
0.04565054923295975,
-0.017265822738409042,
-0.008740375749766827,
-0.029602648690342903,
0.019902264699339867,
0.0013916540192440152,
0.08241744339466095,
0.031121468171477318,
-0.031465351581573486,
0.03266894444823265,
-0.015575062483549118,
0.0473126545548439,
-0.03264028578996658,
-0.03926004841923714,
-0.027682632207870483,
-0.03989050164818764,
0.009485456161201,
-0.02421513758599758,
0.04315739497542381,
-0.03940333053469658,
0.013132056221365929,
0.02795487269759178,
0.01676432602107525,
-0.05751453712582588,
-0.012938621453940868,
0.01051710732281208,
0.028800252825021744,
0.011111739091575146,
0.05800170451402664,
0.029459362849593163,
-0.01407773606479168,
-0.05026432126760483,
-0.0017400153446942568,
0.013218026608228683,
0.022624677047133446,
0.02152138389647007,
-0.03140803799033165,
-0.05499272421002388,
0.013884301297366619
] |
1214_5 | The historian Charles Thomas, in addition to the Celticist Heinrich Zimmer, writes that the distinction between sub-Roman and post-Roman Insular Christianity, also known as Celtic Christianity, began to become apparent around AD 475, with the Celtic churches allowing married clergy, observing Lent and Easter according to their own calendar, and having a different tonsure; moreover, like the Eastern Orthodox and the Oriental Orthodox Churches, the Celtic churches operated independently of the Pope's authority, as a result of their isolated development in the British Isles.
In what is known as the Gregorian mission, Pope Gregory I sent Augustine of Canterbury to the British Isles in AD 596, with the purpose of evangelising the pagans there (who were largely Anglo-Saxons), as well as to reconcile the Celtic churches in the British Isles to the See of Rome. In Kent, Augustine persuaded the Anglo-Saxon king "Æthelberht and his people to accept Christianity". Augustine, on two occasions, "met in conference with members of the Celtic episcopacy, but no understanding was reached between them."
Eventually, the "Christian Church of the Anglo-Saxon kingdom of Northumbria convened the Synod of Whitby in 663/664 to decide whether to follow Celtic or Roman usages." This meeting, with King Oswiu as the final decision maker, "led to the acceptance of Roman usage elsewhere in England and brought the English Church into close contact with the Continent". As a result of assuming Roman usages, the Celtic Church surrendered its independence, and, from this point on, the Church in England "was no longer purely Celtic, but became Anglo-Roman-Celtic". The theologian Christopher L. Webber writes that, although "the Roman form of Christianity became the dominant influence in Britain as in all of western Europe, Anglican Christianity has continued to have a distinctive quality because of its Celtic heritage." | [
0.0038875385653227568,
-0.007407239638268948,
0.030350208282470703,
-0.036062512546777725,
-0.03141766041517258,
0.05426686629652977,
0.0007753439713269472,
-0.00870549026876688,
0.01283104158937931,
-0.0139850415289402,
0.01666088029742241,
-0.01131641585379839,
-0.012802191078662872,
-0.02348390780389309,
-0.033927612006664276,
-0.045092564076185226,
-0.040707360953092575,
-0.008337652310729027,
-0.05772886797785759,
0.017295580357313156,
0.02681608311831951,
0.04754481464624405,
-0.05966181680560112,
-0.03363911062479019,
0.029239483177661896,
-0.01283104158937931,
0.037822362035512924,
-0.023339657112956047,
0.03343715891242027,
0.05746921896934509,
-0.008222252130508423,
-0.03430265933275223,
0.018983306363224983,
-0.014309604652225971,
-0.0431596115231514,
-0.02022385597229004,
0.021132631227374077,
-0.09491652995347977,
0.05403606593608856,
-0.03952451050281525,
0.024118607863783836,
-0.034735411405563354,
-0.0509202666580677,
0.037072259932756424,
-0.01979110576212406,
0.023325232788920403,
0.003786563640460372,
-0.021435556933283806,
-0.021233607083559036,
0.01836303062736988,
0.02895098365843296,
0.011857353150844574,
-0.03208120912313461,
0.02423400804400444,
0.06410472095012665,
-0.026008283719420433,
0.0014145519817247987,
0.00008655002602608874,
0.014028316363692284,
-0.020050756633281708,
0.0007415353902615607,
-0.010703353211283684,
-0.0087199155241251,
-0.017901429906487465,
-0.001696741092018783,
-0.004269801080226898,
-0.00802751537412405,
-0.01259302906692028,
0.013213303871452808,
-0.04503486305475235,
0.014150929637253284,
0.004341926425695419,
0.015867505222558975,
-0.04673701524734497,
0.013905704021453857,
-0.004226526245474815,
-0.026801658794283867,
-0.006833845749497414,
0.009787365794181824,
0.007529852446168661,
0.06173902004957199,
0.03865901008248329,
-0.035889409482479095,
-0.017223455011844635,
-0.06214291974902153,
0.00897956546396017,
-0.05403606593608856,
0.047429412603378296,
-0.0057303328067064285,
-0.01703592948615551,
0.024349408224225044,
0.03909176215529442,
-0.002762388437986374,
-0.012946441769599915,
0.018045680597424507,
0.004446507431566715,
-0.004742220044136047,
0.034735411405563354,
0.023815682157874107,
-0.012564178556203842,
0.03156191110610962,
0.023902231827378273,
-0.04238066449761391,
0.037591561675071716,
-0.03294670954346657,
0.018247630447149277,
-0.005672633182257414,
-0.005355282686650753,
0.005120876710861921,
-0.05106451362371445,
0.02335408143699169,
0.002527981996536255,
0.023527182638645172,
-0.02426285669207573,
0.03254280984401703,
0.025748632848262787,
-0.05943101644515991,
0.037822362035512924,
-0.0496797151863575,
0.026888208463788033,
0.008633364923298359,
0.0033628290984779596,
-0.020887406542897224,
0.002241285052150488,
-0.003074329113587737,
-0.03288900852203369,
-0.001126953517086804,
0.018334180116653442,
-0.03779350966215134,
0.0139850415289402,
0.02915293350815773,
-0.03037905879318714,
-0.005943101830780506,
-0.021882731467485428,
0.015737678855657578,
0.04235181212425232,
0.015131829306483269,
0.049766264855861664,
-0.015362629666924477,
-0.04258261248469353,
0.014944304712116718,
-0.003638707334175706,
-0.027753708884119987,
0.07610632479190826,
-0.008200614713132381,
0.022762656211853027,
-0.04506371170282364,
-0.012362228706479073,
-0.026599707081913948,
-0.016199279576539993,
0.044140513986349106,
-0.004605182446539402,
0.02724883332848549,
0.010155202820897102,
-0.016141580417752266,
-0.024580206722021103,
-0.017843730747699738,
0.005521170329302549,
-0.03037905879318714,
0.014093229547142982,
-0.044717513024806976,
0.06981702148914337,
-0.005950314458459616,
0.022012555971741676,
-0.010977428406476974,
0.03952451050281525,
-0.029383733868598938,
-0.020267130807042122,
-0.00914545264095068,
-0.009325765073299408,
0.004204888828098774,
0.0004275661485735327,
-0.017656205222010612,
0.037822362035512924,
0.011157740838825703,
0.07806812226772308,
0.02002190612256527,
-0.026484308764338493,
0.008402564562857151,
0.02436383254826069,
-0.026123682036995888,
-0.0004126903659198433,
-0.010277815163135529,
-0.0008700080798007548,
0.010537466034293175,
0.021868307143449783,
-0.016891680657863617,
-0.0025027382653206587,
0.011907841078937054,
-0.0063037266954779625,
0.01179244089871645,
0.014143716543912888,
-0.0078039271757006645,
0.04806411266326904,
0.05943101644515991,
0.014973154291510582,
0.012694003991782665,
-0.01428796723484993,
-0.03773581236600876,
-0.03101375885307789,
-0.051872316747903824,
0.060700416564941406,
0.019906505942344666,
0.05296861752867699,
-0.038197413086891174,
-0.01816108077764511,
0.08256872743368149,
0.06041191890835762,
0.01710805483162403,
0.024205157533288002,
0.0189400315284729,
-0.05291091650724411,
-0.016978230327367783,
0.04232296347618103,
0.012679578736424446,
0.005975557956844568,
-0.04076506197452545,
0.02195485681295395,
-0.04177481308579445,
-0.016372380778193474,
0.035716310143470764,
0.05461306497454643,
0.018709231168031693,
0.012917591258883476,
-0.0169349554926157,
-0.020627755671739578,
-0.017569655552506447,
0.09047362953424454,
-0.03516815975308418,
0.009058902971446514,
-0.02566208317875862,
0.016516629606485367,
0.02789795771241188,
0.0353701114654541,
0.05216081440448761,
0.021507682278752327,
-0.002733538392931223,
0.06375852227210999,
-0.03747615963220596,
0.04093816131353378,
0.019863231107592583,
0.026888208463788033,
0.04872766509652138,
-0.01615600474178791,
0.0038190199993550777,
0.024291707202792168,
0.027811408042907715,
-0.01622813008725643,
0.002064578700810671,
0.03288900852203369,
0.0519300140440464,
0.01741098053753376,
0.02724883332848549,
-0.016805129125714302,
-0.010804328136146069,
0.00943395309150219,
0.05966181680560112,
0.011503941379487514,
-0.029773209244012833,
-0.012694003991782665,
0.004641245119273663,
-0.00435995776206255,
-0.0040930951945483685,
0.02613810822367668,
0.0012675973121076822,
0.021796181797981262,
0.022950181737542152,
0.02348390780389309,
0.019286230206489563,
-0.031850408762693405,
-0.008561240509152412,
-0.029975159093737602,
-0.018276480957865715,
0.0014839723007753491,
-0.04307306185364723,
-0.00894350279122591,
0.023801257833838463,
-0.0371299609541893,
0.009664752520620823,
-0.02375798299908638,
0.01500200480222702,
-0.009030052460730076,
-0.01186456624418497,
0.03170615807175636,
-0.011871778406202793,
0.002924669533967972,
-0.05755576863884926,
0.02297903224825859,
-0.042784564197063446,
0.050891414284706116,
0.023902231827378273,
-0.019185256212949753,
-0.019358355551958084,
0.026253508403897285,
0.02498410828411579,
-0.0005959330010227859,
0.0006662548985332251,
-0.0050090826116502285,
-0.03075410984456539,
-0.03652410954236984,
0.026657408103346825,
-0.026498733088374138,
-0.0020303193014115095,
0.039928410202264786,
-0.01567997969686985,
0.0154924551025033,
-0.06266222149133682,
-0.007839989848434925,
0.04163056239485741,
-0.0032798852771520615,
-0.05868091806769371,
-0.001551589579321444,
-0.02280593104660511,
-0.02721998281776905,
-0.03776466101408005,
0.03764926269650459,
0.015593430027365685,
-0.016545480117201805,
0.0007451416458934546,
-0.015665555372834206,
-0.02531588263809681,
-0.019084280356764793,
0.05057406425476074,
-0.020382530987262726,
-0.004623213782906532,
0.053430214524269104,
-0.011482303030788898,
-0.013848003931343555,
0.02134900726377964,
-0.020238280296325684,
-0.03750501200556755,
-0.03998611122369766,
-0.01873807981610298,
-0.017656205222010612,
-0.005650995299220085,
-0.026484308764338493,
0.0028831977397203445,
0.0007514525786973536,
0.015420329757034779,
-0.029008682817220688,
-0.004320289008319378,
-0.05406491458415985,
-0.01754080504179001,
-0.001551589579321444,
-0.019733406603336334,
0.01058795303106308,
-0.05138186365365982,
-0.04385201260447502,
0.020050756633281708,
-0.011561640538275242,
0.009902765043079853,
0.029297184199094772,
-0.015377054922282696,
0.029975159093737602,
0.019372781738638878,
0.06872072070837021,
0.026599707081913948,
-0.02205583080649376,
-0.04122666269540787,
-0.0015182317001745105,
0.015607854351401329,
0.006343395449221134,
-0.0393802635371685,
-0.019632430747151375,
0.0013622613623738289,
-0.00010024251241702586,
0.02257513254880905,
0.039351411163806915,
0.03912061080336571,
-0.018031256273388863,
0.0016300254501402378,
0.029109658673405647,
-0.016502205282449722,
0.009484440088272095,
-0.05210311710834503,
0.0024071726948022842,
0.041082412004470825,
-0.022820357233285904,
0.02338293194770813,
-0.024421531707048416,
0.022546282038092613,
-0.015348204411566257,
0.0033015229273587465,
-0.007450514938682318,
0.02571978233754635,
-0.02067103050649166,
-0.030321359634399414,
0.000946640910115093,
-0.018175505101680756,
-0.04082276299595833,
-0.011770803481340408,
0.007277414668351412,
0.020555630326271057,
-0.09145452827215195,
-0.007594764698296785,
-0.0028850007802248,
0.08481902629137039,
0.02864805795252323,
-0.02067103050649166,
0.06266222149133682,
-0.01720903068780899,
0.04558301344513893,
-0.012398291379213333,
0.008070790208876133,
-0.03730306029319763,
0.029210634529590607,
-0.009044477716088295,
0.057440366595983505,
-0.025647656992077827,
-0.032600510865449905,
-0.004915320314466953,
0.021882731467485428,
-0.024551358073949814,
0.012852679006755352,
0.032196611166000366,
0.01906985603272915,
-0.018175505101680756,
-0.01371096633374691,
0.02209910750389099,
0.020382530987262726,
-0.045121412724256516,
0.01741098053753376,
0.004879257641732693,
0.006437158212065697,
-0.004295045044273138,
0.0012757113436236978,
-0.00698170205578208,
-0.014100441709160805,
-0.019372781738638878,
-0.0018806599546223879,
0.013292641378939152,
-0.015117404982447624,
0.003732469864189625,
0.02674395777285099,
0.013934554532170296,
0.0116049163043499,
0.015276079997420311,
-0.014215841889381409,
-0.03040790930390358,
-0.06081581860780716,
0.03159075975418091,
0.025532256811857224,
-0.021536530926823616,
-0.011244290508329868,
-0.002156538190320134,
0.03444691002368927,
0.004619607701897621,
0.008626152761280537,
0.02097395621240139,
0.03649526089429855,
0.021017231047153473,
-0.07754882425069809,
0.03583171218633652,
-0.015694404020905495,
-0.026109257712960243,
0.05345906689763069,
0.011951115913689137,
-0.008900227956473827,
-0.009852278046309948,
0.02036810666322708,
0.020526781678199768,
-0.0018680380890145898,
-0.004305863752961159,
0.0007636236841790378,
-0.03614906221628189,
0.06081581860780716,
0.0048143453896045685,
-0.006440764293074608,
0.006292907986789942,
-0.0004575430939439684,
0.013631628826260567,
-0.013054628856480122,
0.033033259212970734,
-0.004049819894134998,
0.01741098053753376,
-0.05152611434459686,
-0.020786430686712265,
-0.018954455852508545,
-0.011323628015816212,
-0.017367705702781677,
0.019589155912399292,
0.013155603781342506,
-0.04965086653828621,
0.011987178586423397,
-0.05066061392426491,
-0.03401416167616844,
0.0027804195415228605,
-0.029109658673405647,
-0.01086202822625637,
-0.002591091440990567,
-0.014533191919326782,
0.0001978930231416598,
-0.030177108943462372,
-0.014150929637253284,
-0.03234085813164711,
-0.05374756455421448,
-0.0130474166944623,
-0.05868091806769371,
-0.008698277175426483,
-0.0031897290609776974,
0.05325711518526077,
0.060123417526483536,
-0.001172031625173986,
-0.0436500646173954,
-0.01653105579316616,
0.017670629546046257,
-0.02029598131775856,
-0.03309096023440361,
-0.02636890858411789,
0.035860560834407806,
-0.002073594368994236,
-0.036466412246227264,
0.01653105579316616,
0.05827701836824417,
-0.00938346516340971,
-0.017252305522561073,
0.029600108042359352,
0.023411782458424568,
-0.009159877896308899,
0.038197413086891174,
0.024753307923674583,
-0.06410472095012665,
0.006996127311140299,
0.0012603848008438945,
0.025979433208703995,
0.04047656059265137,
0.02192600630223751,
-0.009643115103244781,
-0.02729210816323757,
-0.028936559334397316,
-0.014057166874408722,
-0.024147456511855125,
-0.02385895699262619,
-0.02531588263809681,
-0.014872179366648197,
0.00413276394829154,
0.02850380912423134,
-0.03133111074566841,
-0.010595166124403477,
-0.021233607083559036,
0.0024234007578343153,
-0.0328601598739624,
-0.02616695873439312,
0.01839188113808632,
-0.00430946983397007,
-0.012217978946864605,
-0.028417259454727173,
0.0078039271757006645,
0.01761293038725853,
-0.03170615807175636,
-0.009960465133190155,
-0.022820357233285904,
0.02729210816323757,
-0.04708321392536163,
0.010486978106200695,
-0.020050756633281708,
-0.015247229486703873,
0.011972753331065178,
-0.038399361073970795,
0.04849686473608017,
0.008813677355647087,
0.050343263894319534,
0.024089757353067398,
-0.018983306363224983,
-0.038745563477277756,
0.009715240448713303,
-0.009924403391778469,
-0.019372781738638878,
-0.005939495749771595,
-0.004194070119410753,
0.029686659574508667,
0.058248165994882584,
0.033408310264348984,
0.04910271614789963,
-0.0014397957129403949,
-0.05060291662812233,
-0.002758782124146819,
-0.025474557653069496,
0.003779351245611906,
0.013379191979765892,
-0.007472152356058359,
-0.025359157472848892,
0.004558301530778408,
-0.026325633749365807,
0.005914251785725355,
-0.03294670954346657,
-0.01063844095915556,
0.061104319989681244,
-0.03297555819153786,
-0.0058168829418718815,
-0.03179270774126053,
0.06641271710395813,
0.0036711636930704117,
0.014547617174685001,
0.04408281296491623,
-0.04191906377673149,
0.0009358221432194114,
0.022171230986714363,
0.015867505222558975,
-0.026109257712960243,
-0.01836303062736988,
-0.015276079997420311,
0.05259356647729874,
0.018478430807590485,
-0.015535729937255383,
-0.010436490178108215,
-0.07783732563257217,
-0.037591561675071716,
-0.012044878676533699,
0.03156191110610962,
0.021767331287264824,
0.048987314105033875,
-0.0010836784495040774,
0.0031861227471381426,
0.01733885519206524,
0.0028579540085047483,
-0.03891866281628609,
-0.010833178646862507,
-0.02393108233809471,
0.027667159214615822,
-0.05697876587510109,
0.007309870794415474,
0.04304421320557594,
-0.06104661896824837,
0.008301589637994766,
0.0015173301799222827,
-0.013927341438829899,
0.004165220074355602,
0.020627755671739578,
0.0010025377850979567,
0.03978416323661804,
-0.004774676635861397,
-0.024190731346607208,
0.042438361793756485,
0.0144899170845747,
0.01159049104899168,
-0.01208094134926796,
-0.011179378256201744,
-0.009441165253520012,
0.03594711050391197,
0.024998532608151436,
-0.0036783760879188776,
0.0004057032347191125,
-0.014093229547142982,
0.01155442837625742,
0.018146654590964317,
0.013105116784572601,
0.018824631348252296,
-0.004634032491594553,
0.042813412845134735,
0.03239855915307999,
0.03733191266655922,
0.019906505942344666,
-0.03669721260666847,
-0.06941311806440353,
0.0004237345128785819,
-0.0010458128526806831,
-0.02029598131775856,
-0.00910938996821642,
0.03138880804181099,
0.03288900852203369,
0.020050756633281708,
-0.03669721260666847,
0.005412982776761055,
0.043621212244033813,
0.003204154083505273,
-0.017742754891514778,
0.06629732251167297,
-0.02368585765361786,
-0.02494083158671856,
-0.05490156635642052,
-0.026960333809256554,
-0.02613810822367668,
-0.05077601596713066,
0.0028128759004175663,
-0.01886790618300438,
-0.02022385597229004,
-0.009794577956199646,
0.0022629224695265293,
-0.0017120677512139082,
0.0873001292347908,
-0.01078990288078785,
0.0323697105050087,
-0.04526566341519356,
-0.08216482400894165,
-0.020281556993722916,
-0.04921811446547508,
-0.045092564076185226,
-0.020786430686712265,
-0.0023188195191323757,
0.03900521248579025,
0.028056632727384567,
0.00011697776790242642,
-0.015737678855657578,
0.02175290696322918,
-0.03730306029319763,
-0.0289798341691494,
-0.013400829397141933,
0.04266916215419769,
0.02185388095676899,
0.020584480836987495,
0.016848405823111534,
0.04985281452536583,
0.041053563356399536,
0.007071858271956444,
-0.012333379127085209,
0.018204355612397194,
-0.018031256273388863,
0.02202698215842247,
-0.03133111074566841,
-0.01570883020758629,
-0.05022786557674408,
0.0003148707910440862,
-0.007666889578104019,
0.03649526089429855,
0.0073747835122048855,
0.013494591228663921,
0.008806465193629265,
-0.03661065921187401,
0.08072232455015182,
0.025604382157325745,
0.048410315066576004,
0.038601312786340714,
-0.009304127655923367,
0.020209431648254395,
0.015377054922282696,
0.00509202666580677,
-0.038774412125349045,
0.06883612275123596,
-0.02009403146803379,
0.031215708702802658,
0.0013108722632750869,
0.03251396119594574,
-0.01964685507118702,
0.0178148802369833,
-0.06600882112979889,
0.006127020809799433,
-0.04774676263332367,
0.014042741619050503,
0.04036116227507591,
-0.03966876119375229,
0.0289798341691494,
-0.06577801704406738,
-0.028446108102798462,
-0.006220783106982708,
-0.020526781678199768,
-0.02531588263809681,
-0.025301458314061165,
-0.07437532395124435,
-0.0026866570115089417,
0.006206358317285776,
-0.003177107311785221,
0.02365700714290142,
0.013133966363966465,
0.001983438152819872,
-0.005791639443486929,
0.002434219466522336,
0.05882516875863075,
0.03617791086435318,
-0.014901029877364635,
0.030840659514069557,
-0.012153065763413906,
-0.00531200785189867,
0.02830185927450657,
0.005806064233183861,
-0.03987071290612221,
-0.011806866154074669,
0.028460534289479256,
0.053776416927576065,
0.005589689128100872,
0.024205157533288002,
-0.024767732247710228,
0.019372781738638878,
0.02874903380870819,
-0.053401365876197815,
0.018175505101680756,
0.0692400187253952,
0.027162283658981323,
-0.0020753974094986916,
-0.05810391902923584,
0.0062856958247721195,
-0.00483598280698061,
0.012657941319048405,
0.029412584379315376,
-0.061854418367147446,
-0.055103518068790436,
0.05371871590614319,
0.009527714923024178,
-0.006913183256983757,
0.03003285825252533,
0.009794577956199646,
-0.01754080504179001,
0.03464886173605919,
-0.007407239638268948,
-0.002527981996536255,
0.018622681498527527,
-0.0073459334671497345,
0.018579404801130295,
-0.0032600509002804756,
0.02915293350815773,
-0.008020302280783653,
0.015867505222558975,
0.040130361914634705,
-0.007594764698296785,
-0.01057352777570486,
0.02807105891406536,
0.01676185429096222,
-0.006696808151900768,
-0.021796181797981262,
0.02137785591185093,
-0.05931561812758446,
0.036062512546777725,
-0.019055429846048355,
-0.02406090684235096,
-0.012571391649544239,
-0.01102791540324688,
0.021305730566382408,
-0.023815682157874107,
0.02087298035621643,
-0.012932016514241695,
-0.044746361672878265,
0.023224256932735443,
0.00361887295730412,
0.0022971818689256907,
0.020324831828475,
0.02925390936434269,
-0.0032474291510879993,
0.0004275661485735327,
0.015146254561841488,
0.012968079186975956,
-0.01798797957599163,
-0.0006347001763060689,
0.0006712134927511215,
0.0215798057615757,
0.016372380778193474,
-0.016819555312395096,
-0.03822626173496246,
-0.02351275645196438,
0.0034024978522211313,
-0.047833316028118134,
-0.0388898104429245,
0.023065581917762756,
0.014605317264795303,
-0.03620675951242447,
0.023830106481909752,
0.01042206585407257,
0.01518952939659357,
0.029167359694838524,
-0.011439028196036816,
-0.019906505942344666,
-0.04059196263551712,
0.011525578796863556,
-0.01690610498189926,
0.05400721728801727,
0.03095605969429016,
0.011655403301119804,
-0.04367891326546669,
-0.013162816874682903,
0.027061307802796364,
-0.025301458314061165,
-0.05060291662812233,
-0.026037132367491722,
0.003155469661578536,
-0.017079204320907593,
-0.022892482578754425,
-0.029542408883571625,
0.0421498641371727,
0.021680781617760658,
-0.0519300140440464,
0.05045866593718529,
0.005283157806843519,
-0.0356297604739666,
-0.009563777595758438,
-0.006357820704579353,
0.01423747930675745,
-0.04864111542701721,
0.07368291914463043,
-0.04232296347618103,
0.03190810978412628,
0.01791585609316826,
0.008900227956473827,
0.005528382956981659,
-0.08753092586994171,
-0.050112463533878326,
-0.05622866749763489,
0.014814479276537895,
-0.011121678166091442,
0.0001904551318148151,
-0.01182850357145071,
-0.059719517827034,
0.03767811134457588,
-0.034937359392642975,
-0.010883665643632412,
0.02626793272793293,
0.00841698981821537,
-0.0062712705694139,
0.005232670344412327,
0.047631364315748215,
-0.019704556092619896,
-0.007594764698296785,
0.012874316424131393,
0.001294644083827734,
-0.019315080717206,
0.040534261614084244,
0.029975159093737602,
-0.01954588107764721,
-0.03058100864291191,
-0.01367490366101265,
0.03234085813164711,
0.0018067318014800549,
-0.03095605969429016,
-0.01924295537173748,
-0.018276480957865715,
-0.01588192954659462,
-0.03254280984401703,
0.04304421320557594,
0.0572095662355423,
0.0012252237647771835,
0.018031256273388863,
-0.05097796395421028,
0.03958221152424812,
-0.09035822749137878,
-0.03689916059374809,
-0.04422706365585327,
-0.03790891170501709,
0.00897956546396017,
0.015247229486703873,
0.049420066177845,
-0.0275950338691473,
0.2446480691432953,
0.03118686005473137,
0.02667183242738247,
-0.05925791710615158,
0.007883264683187008,
0.039149463176727295,
0.03499506041407585,
-0.02850380912423134,
0.0388898104429245,
0.00819340255111456,
-0.01539147924631834,
0.01713690534234047,
0.0011089221807196736,
-0.03946681320667267,
-0.007079070899635553,
0.053026314824819565,
-0.005063176620751619,
-0.0028056632727384567,
0.028662484139204025,
-0.023267531767487526,
-0.03923601284623146,
-0.019704556092619896,
-0.03603366017341614,
-0.021233607083559036,
-0.026729533448815346,
0.0469101145863533,
0.04754481464624405,
-0.03173501044511795,
-0.030061708763241768,
-0.056834518909454346,
-0.04235181212425232,
-0.002798450877889991,
0.007594764698296785,
-0.005200214218348265,
-0.042842261493206024,
0.0154924551025033,
-0.023974357172846794,
-0.03254280984401703,
-0.029109658673405647,
0.020324831828475,
0.016473354771733284,
-0.01795913092792034,
0.003627888625487685,
-0.0020555630326271057,
0.03297555819153786,
0.07449072599411011,
-0.03245626017451286,
0.017670629546046257,
0.07408682256937027,
0.02348390780389309,
0.04333271458745003,
-0.0313599593937397,
0.002675838302820921,
-0.05464191734790802,
-0.003480032319203019,
0.032658208161592484,
0.058392416685819626,
0.006282089278101921,
0.004911713767796755,
-0.050343263894319534,
0.013148391619324684,
0.0002005977148655802,
0.015723254531621933,
0.014338454231619835,
-0.0428999625146389,
0.033783361315727234,
-0.0004221567651256919,
0.04809296503663063,
-0.08170322328805923,
-0.042034462094306946,
-0.0504298135638237,
-0.05097796395421028,
0.02626793272793293,
-0.024825433269143105,
0.07956832647323608,
0.015304929576814175,
-0.001748130191117525,
0.037245362997055054,
-0.035485509783029556,
-0.014013892039656639,
-0.0313599593937397,
0.008157339878380299,
0.01876693032681942,
-0.018406305462121964,
0.028893284499645233,
0.02616695873439312,
0.0017914052587002516,
-0.017353279516100883,
-0.03482196107506752,
0.013242154382169247,
0.01666088029742241,
0.010371577925980091,
-0.03199465945363045,
-0.06664352118968964,
0.007955390028655529
] |
1214_6 | The Church in England remained united with Rome until the English Parliament, through the Act of Supremacy (1534), declared King Henry VIII to be the Supreme Head of the Church of England to fulfill the "English desire to be independent from continental Europe religiously and politically." As the change was mostly political, done in order to allow for the annulment of Henry VIII's marriage, the English Church under Henry VIII continued to maintain Roman Catholic doctrines and the sacraments despite the separation from Rome. With little exception, Henry VIII allowed no changes during his lifetime. Under King Edward VI (1547–1553), however, the church in England underwent what is known as the English Reformation, in the course of which it acquired a number of characteristics that would subsequently become recognised as constituting its distinctive "Anglican" identity.
Development
With the Elizabethan Settlement of 1559, the Protestant identity of the English and Irish churches was affirmed by means of parliamentary legislation which mandated allegiance and loyalty to the English Crown in all their members. The Elizabethan church began to develop distinct religious traditions, assimilating some of the theology of Reformed churches with the services in the Book of Common Prayer (which drew extensively on the Sarum Rite native to England), under the leadership and organisation of a continuing episcopate. Over the years, these traditions themselves came to command adherence and loyalty. The Elizabethan Settlement stopped the radical Protestant tendencies under Edward VI by combining the more radical elements of the Second Prayer Book of 1552 with the conservative "Catholic" First Prayer Book of 1549. From then on, Protestantism was in a "state of arrested development", regardless of the attempts to detach the Church of England from its "idiosyncratic anchorage in the medieval past" by various groups which tried to push it towards a more Reformed theology and governance in the years 1560–1660. | [
0.007349847815930843,
-0.04750831052660942,
0.02044154889881611,
-0.033153679221868515,
0.02857123874127865,
0.03003430739045143,
-0.03906116262078285,
-0.05857793986797333,
0.020165497437119484,
-0.0159419234842062,
-0.0065803565084934235,
-0.003961326088756323,
-0.0019340795697644353,
-0.022608544677495956,
-0.02912333980202675,
-0.043698813766241074,
-0.027425628155469894,
0.0031745820306241512,
-0.04764633625745773,
0.037653304636478424,
0.001744294771924615,
0.02737041749060154,
-0.027632666751742363,
-0.06669382750988007,
0.04248419031500816,
0.03715641424059868,
0.05642474442720413,
-0.0019547834526747465,
0.016797680407762527,
0.0735950917005539,
0.0007082423544488847,
-0.0013379828305914998,
-0.027756888419389725,
-0.031856242567300797,
-0.03130413964390755,
-0.023547116667032242,
-0.008371234871447086,
-0.04190448299050331,
0.00934431329369545,
-0.024471886456012726,
-0.004592792131006718,
-0.027991531416773796,
-0.04759112745523453,
-0.0035299973096698523,
-0.016204170882701874,
-0.010903999209403992,
0.02230488881468773,
0.014837720431387424,
-0.013202120549976826,
0.01527940109372139,
0.011145543307065964,
0.0012827727477997541,
-0.025548484176397324,
-0.037542883306741714,
0.04016536474227905,
-0.04298108071088791,
0.014975746162235737,
-0.015541649423539639,
-0.030089516192674637,
-0.0006211138679645956,
0.019820434972643852,
0.02495497465133667,
0.02901292033493519,
-0.016190368682146072,
-0.03243594616651535,
0.0025017086882144213,
-0.004951657727360725,
0.005269116256386042,
0.0013612746261060238,
0.019986065104603767,
0.020952241495251656,
-0.03378859534859657,
-0.0010308765340596437,
-0.018108921125531197,
-0.011000617407262325,
-0.03240834176540375,
-0.008219406940042973,
-0.00423737708479166,
0.04775675758719444,
-0.007895047776401043,
0.04411288723349571,
0.040192969143390656,
-0.011580322869122028,
-0.017225557938218117,
-0.03538968786597252,
0.04146280139684677,
-0.022787978872656822,
0.03146976977586746,
-0.05004797503352165,
-0.020966043695807457,
0.021366316825151443,
0.03464435040950775,
-0.051511045545339584,
0.01285705715417862,
0.02374035306274891,
0.03696317598223686,
-0.015693478286266327,
0.01208411529660225,
0.002541390946134925,
0.022691359743475914,
0.028322793543338776,
0.04971671476960182,
-0.021504342555999756,
0.03826061636209488,
-0.03309847041964531,
-0.0022170315496623516,
0.00857827253639698,
0.009323609061539173,
0.0015562353655695915,
-0.054271548986434937,
0.022939806804060936,
-0.00994472298771143,
0.043146710842847824,
-0.03199426457285881,
0.023933587595820427,
0.037984564900398254,
-0.044692594558000565,
-0.000036986468330724165,
0.005841921083629131,
0.041766457259655,
0.04463738575577736,
0.023919785395264626,
-0.020386338233947754,
-0.0076189967803657055,
-0.031828634440898895,
0.0362730510532856,
-0.01779146119952202,
0.008281518705189228,
-0.016107553616166115,
0.017170347273349762,
0.023602327331900597,
-0.02266375534236431,
-0.006521695759147406,
-0.04256700351834297,
0.026321426033973694,
0.012394672259688377,
0.02365753799676895,
0.04529990628361702,
-0.006097267847508192,
-0.03243594616651535,
0.016314592212438583,
-0.031193720176815987,
-0.014244211837649345,
0.05413352698087692,
0.0208832286298275,
0.0018184834625571966,
-0.05907483026385307,
0.017239360138773918,
-0.03911637142300606,
-0.03748767450451851,
0.04794999212026596,
-0.007280834950506687,
0.035914186388254166,
0.0154036246240139,
0.0165078267455101,
-0.016866693273186684,
-0.04670776426792145,
-0.048198435455560684,
-0.04880574718117714,
0.012422277592122555,
-0.06056550517678261,
0.05576222389936447,
-0.004278784617781639,
0.024596109986305237,
-0.017556818202137947,
-0.003459259169176221,
-0.014340829104185104,
-0.011642434634268284,
-0.03541729226708412,
0.009434029459953308,
0.019502975046634674,
0.006507893092930317,
-0.04013776034116745,
0.016107553616166115,
0.019171714782714844,
0.03856427222490311,
-0.01439603976905346,
0.021366316825151443,
-0.012739735655486584,
0.006721832323819399,
0.01968240924179554,
0.020952241495251656,
0.014575472101569176,
0.03461674600839615,
-0.008419543504714966,
0.013105503283441067,
-0.008467852137982845,
-0.018343564122915268,
0.01445124950259924,
-0.05203554034233093,
0.017625831067562103,
0.005707346368581057,
0.00583156943321228,
0.040192969143390656,
0.05995819345116615,
-0.012518895789980888,
-0.040745072066783905,
-0.0022722415160387754,
-0.050876129418611526,
0.008999249897897243,
-0.05631432682275772,
0.015928121283650398,
0.00879911333322525,
0.026086783036589622,
-0.029730651527643204,
-0.028654053807258606,
0.06917828321456909,
0.06012382358312607,
-0.022180667147040367,
0.03925439715385437,
-0.016894297674298286,
-0.06503752619028091,
0.03541729226708412,
0.08601737022399902,
0.01572108268737793,
0.028516028076410294,
0.00003129831748083234,
-0.019392555579543114,
-0.012373968958854675,
-0.027425628155469894,
0.007612095680087805,
0.03638347238302231,
0.0031193718314170837,
0.012601710855960846,
-0.04057944193482399,
0.012767340987920761,
0.0005926461890339851,
0.11461621522903442,
-0.014465052634477615,
-0.010552034713327885,
0.008378135971724987,
0.03500321879982948,
0.0002223501360276714,
0.018412575125694275,
0.04231856018304825,
0.0005736676976084709,
-0.038867928087711334,
0.045907218009233475,
-0.025037791579961777,
0.025893548503518105,
-0.015886712819337845,
0.027356615290045738,
0.028764473274350166,
0.008654186502099037,
0.00879911333322525,
0.013001983985304832,
0.040745072066783905,
0.04703902453184128,
0.01881285011768341,
0.025051593780517578,
0.06100718677043915,
0.036245446652173996,
0.03806737810373306,
0.04215293005108833,
0.014202804304659367,
0.03674233704805374,
0.039420027285814285,
0.028322793543338776,
0.008619680069386959,
-0.05774978920817375,
0.012712130323052406,
0.024885963648557663,
0.019516779109835625,
-0.018219340592622757,
0.004347797017544508,
0.03704599291086197,
0.01892326958477497,
-0.004654903430491686,
0.0077639236114919186,
-0.03856427222490311,
-0.011476804502308369,
-0.035196453332901,
-0.03837103396654129,
-0.0011473353952169418,
-0.025272434577345848,
0.026211006566882133,
-0.019986065104603767,
-0.05509970337152481,
0.026528464630246162,
-0.02717718295753002,
-0.015017153695225716,
0.02310543693602085,
0.021090267226099968,
0.030393172055482864,
-0.019420159980654716,
0.0041718147695064545,
-0.04154561832547188,
0.02761886455118656,
-0.046017635613679886,
0.03144216537475586,
-0.004354698583483696,
-0.02857123874127865,
-0.03240834176540375,
0.03356775641441345,
-0.01683908700942993,
-0.007008234970271587,
-0.014244211837649345,
0.004130407236516476,
-0.006739085540175438,
-0.04383683577179909,
0.01258790772408247,
-0.05374705418944359,
-0.0024447732139378786,
-0.0009575505391694605,
0.024927370250225067,
0.008964743465185165,
-0.025355249643325806,
-0.0374048575758934,
0.03621784225106239,
-0.004126956686377525,
-0.06961996853351593,
0.035803765058517456,
0.005724599584937096,
-0.030614012852311134,
-0.036438681185245514,
0.033043257892131805,
0.02068999409675598,
0.01544503215700388,
-0.02530003897845745,
0.008737001568078995,
-0.000655188865493983,
-0.018205538392066956,
-0.007446465082466602,
-0.011994399130344391,
-0.02683212049305439,
0.0616144984960556,
0.02187701128423214,
-0.014382236637175083,
0.019088899716734886,
0.004596242681145668,
-0.01845398359000683,
-0.033484939485788345,
0.034782376140356064,
-0.036687128245830536,
-0.008826718665659428,
0.0020289719104766846,
0.003031380707398057,
-0.0041890679858624935,
0.04463738575577736,
-0.02530003897845745,
-0.009654870256781578,
-0.057252898812294006,
-0.0010757347336038947,
-0.010427812114357948,
-0.03033796325325966,
-0.007063445169478655,
0.015431229025125504,
-0.03207708150148392,
0.009185584262013435,
-0.004330543801188469,
0.006017903331667185,
0.028764473274350166,
-0.027315208688378334,
0.002237735316157341,
-0.0037784427404403687,
0.020206904038786888,
-0.0017106510931625962,
-0.013367750681936741,
-0.032491158694028854,
-0.006325009744614363,
-0.01171834859997034,
0.045023854821920395,
-0.04541032761335373,
-0.0009515119600109756,
-0.021490540355443954,
-0.013374652713537216,
0.03467195853590965,
0.0170599278062582,
0.020303523167967796,
-0.026445649564266205,
0.043477971106767654,
0.018274551257491112,
-0.043036289513111115,
0.03939242288470268,
-0.02684592269361019,
0.0241682305932045,
0.04405767843127251,
0.008060677908360958,
0.01770864613354206,
-0.022484323009848595,
0.01803990826010704,
-0.004827435128390789,
-0.02111787162721157,
-0.004554835148155689,
0.03450632840394974,
0.00016962016525212675,
-0.034257881343364716,
-0.0008725787629373372,
-0.06150407716631889,
-0.032711997628211975,
-0.02285699173808098,
0.0016942606307566166,
-0.0021497441921383142,
-0.09507182985544205,
-0.02748083882033825,
-0.02024831250309944,
0.03497561439871788,
0.016300788149237633,
-0.009875711053609848,
0.023395288735628128,
0.01913030818104744,
0.00829532090574503,
-0.08342249691486359,
0.03365056961774826,
-0.06365726888179779,
-0.0005270841647870839,
-0.01198749803006649,
0.08309123665094376,
-0.020206904038786888,
-0.006062761414796114,
-0.027453234419226646,
-0.00717731611803174,
-0.005872976966202259,
-0.010524429380893707,
0.00884742196649313,
-0.0041890679858624935,
-0.07160753011703491,
-0.04422330856323242,
0.052836086601018906,
0.042953476309776306,
-0.05692163482308388,
-0.005286369472742081,
0.014603077434003353,
0.02868165820837021,
0.012788044288754463,
-0.04654213413596153,
-0.024264849722385406,
0.03066922351717949,
-0.022525729611516,
0.03605220839381218,
0.013347047381103039,
-0.03508603200316429,
0.014589275233447552,
-0.011345679871737957,
0.02661127969622612,
-0.005048275459557772,
-0.006280151661485434,
-0.01522419136017561,
-0.022084049880504608,
-0.03130413964390755,
-0.013429862447082996,
0.019654802978038788,
-0.03508603200316429,
0.021269699558615685,
0.006808098405599594,
0.01390604954212904,
0.03320888802409172,
0.0030555352568626404,
0.004313291050493717,
0.053056929260492325,
0.03806737810373306,
-0.06984080374240875,
0.05763936787843704,
-0.07177315652370453,
-0.012567204423248768,
0.0008842246024869382,
0.038867928087711334,
-0.042263347655534744,
0.03442351147532463,
0.0048757437616586685,
0.0049689109437167645,
0.0023654086980968714,
-0.03991691768169403,
-0.061283234506845474,
-0.007819133810698986,
0.07530660927295685,
-0.023795563727617264,
0.022387703880667686,
0.01120765507221222,
0.0001935589243657887,
0.014837720431387424,
0.027881111949682236,
0.02465132065117359,
-0.028074348345398903,
0.015596860088407993,
-0.044582173228263855,
-0.01903368905186653,
-0.004468569532036781,
-0.036135025322437286,
-0.04610045254230499,
0.041186749935150146,
-0.003678374458104372,
-0.0439472571015358,
-0.021932221949100494,
-0.02978586032986641,
-0.01737738586962223,
-0.0737055167555809,
0.011380186304450035,
0.003060711082071066,
-0.04554834961891174,
-0.005776359234005213,
0.016452616080641747,
0.006725282873958349,
0.0006482875905930996,
-0.00041989886085502803,
-0.03044838272035122,
0.015514044091105461,
-0.0616144984960556,
-0.0418216697871685,
-0.015872910618782043,
0.07618997246026993,
0.06685946136713028,
-0.015431229025125504,
-0.023671340197324753,
-0.004154561553150415,
0.02375415526330471,
-0.05774978920817375,
-0.007957158610224724,
0.01149060670286417,
0.0417940616607666,
0.00481018191203475,
-0.009447832591831684,
0.028543634340167046,
0.03939242288470268,
0.025893548503518105,
0.004209771752357483,
0.0038060478400439024,
0.0385090596973896,
0.003019303549081087,
0.03036556765437126,
0.014520262368023396,
-0.05109696835279465,
0.028736868873238564,
0.0044030072167515755,
0.03500321879982948,
0.03983410447835922,
0.05509970337152481,
0.012684525921940804,
-0.023146843537688255,
-0.039199188351631165,
-0.03022754192352295,
-0.011069629341363907,
-0.0560934841632843,
-0.0047618732787668705,
-0.00403724005445838,
0.023933587595820427,
0.04850209131836891,
-0.04483062028884888,
-0.032711997628211975,
-0.025810731574892998,
-0.005244961474090815,
0.0007940768264234066,
-0.013547183945775032,
-0.007846739143133163,
0.006114521063864231,
-0.031083298847079277,
0.028985314071178436,
-0.008598976768553257,
-0.007446465082466602,
0.023547116667032242,
0.0036990782245993614,
-0.03235313296318054,
0.026804514229297638,
-0.019047493115067482,
-0.02274657040834427,
-0.019613396376371384,
-0.016466418281197548,
0.01143539696931839,
-0.012118621729314327,
0.046569738537073135,
0.004899898543953896,
0.05474083498120308,
0.02989628165960312,
-0.001411308767274022,
-0.019599594175815582,
-0.028847288340330124,
-0.003906116122379899,
-0.01038640458136797,
0.030641617253422737,
-0.00884742196649313,
0.02804674208164215,
0.03781893476843834,
0.029537415131926537,
0.02934418059885502,
0.022926002740859985,
-0.024913568049669266,
0.025796929374337196,
-0.01824694499373436,
-0.0009480613516643643,
0.0074050575494766235,
0.0007091049919836223,
-0.010427812114357948,
0.03530687466263771,
-0.028115754947066307,
0.016121355816721916,
-0.03251876309514046,
-0.038094986230134964,
0.04527230188250542,
-0.014616879634559155,
-0.025686509907245636,
-0.011870176531374454,
0.026211006566882133,
0.00015980743046384305,
-0.025438064709305763,
0.005013769492506981,
-0.05703205615282059,
-0.03652149438858032,
0.023547116667032242,
-0.01681148260831833,
-0.03365056961774826,
-0.03133174404501915,
0.01011035405099392,
0.05313974246382713,
0.031276535242795944,
0.012097918428480625,
0.0036059110425412655,
-0.02915094420313835,
-0.03867468982934952,
0.013050292618572712,
-0.018647218123078346,
0.03218750283122063,
0.03439590707421303,
-0.025534681975841522,
0.011773558333516121,
0.016190368682146072,
0.04957868903875351,
-0.026901131495833397,
-0.010048242285847664,
-0.006990981753915548,
0.012139325961470604,
-0.065920889377594,
0.005296721123158932,
-0.01445124950259924,
-0.10909520089626312,
0.014603077434003353,
-0.029620230197906494,
-0.034920401871204376,
-0.012932971119880676,
0.01693570427596569,
0.01093850564211607,
0.043146710842847824,
-0.0007733730599284172,
-0.013202120549976826,
0.07221484184265137,
-0.03660431131720543,
-0.010324292816221714,
-0.01176665723323822,
0.014313224703073502,
0.03652149438858032,
0.022939806804060936,
-0.007101402152329683,
-0.05093133822083473,
0.01878524385392666,
-0.025093000382184982,
-0.00028381453012116253,
0.034920401871204376,
0.010193169116973877,
0.02945460006594658,
-0.0031504277139902115,
0.03133174404501915,
0.017349781468510628,
0.014603077434003353,
0.012843254953622818,
-0.036438681185245514,
-0.004958559293299913,
0.02594875730574131,
0.025341445580124855,
-0.025355249643325806,
0.015251796692609787,
0.012353264726698399,
0.03467195853590965,
-0.05747373774647713,
-0.02517581544816494,
-0.0025689960457384586,
0.0539126843214035,
-0.013871543109416962,
-0.008812915533781052,
0.013781826943159103,
-0.029426995664834976,
-0.050186000764369965,
-0.04783957079052925,
-0.01849539205431938,
0.007826034910976887,
-0.014437447302043438,
0.022070245817303658,
-0.02097984589636326,
-0.01845398359000683,
-0.0571976862847805,
0.021738985553383827,
-0.0022912200074642897,
0.012091017328202724,
-0.02364373579621315,
-0.014050976373255253,
-0.02266375534236431,
-0.07348467409610748,
-0.027453234419226646,
-0.011925386264920235,
-0.038315825164318085,
0.020703796297311783,
-0.01750160939991474,
0.024320058524608612,
-0.02661127969622612,
-0.009302905760705471,
-0.012912267819046974,
0.026694094762206078,
0.022042641416192055,
-0.04378162696957588,
-0.010655554011464119,
0.030614012852311134,
0.03792935609817505,
0.07028248906135559,
0.012353264726698399,
0.03111090511083603,
0.02574172057211399,
0.007681108545511961,
-0.02879207953810692,
0.019848039373755455,
-0.0038681591395288706,
0.004820534028112888,
-0.05780499801039696,
-0.04982713609933853,
-0.026749305427074432,
-0.03058640845119953,
-0.04411288723349571,
-0.012560303322970867,
-0.004596242681145668,
0.01115934643894434,
0.02937178499996662,
-0.009958526119589806,
0.022732768207788467,
0.020800413563847542,
0.04924742877483368,
0.06028945371508598,
0.007784627377986908,
0.00857827253639698,
0.03649388998746872,
-0.03111090511083603,
-0.037653304636478424,
0.040082547813653946,
-0.03354014828801155,
0.02893010526895523,
-0.02375415526330471,
0.038315825164318085,
-0.023229658603668213,
0.04322952777147293,
-0.04979953169822693,
0.039199188351631165,
-0.017404992133378983,
-0.0012965751811861992,
-0.0032349680550396442,
0.0085299639031291,
0.028019137680530548,
-0.0693439170718193,
-0.004717014729976654,
-0.011331877671182156,
-0.02233249507844448,
-0.03290523216128349,
-0.05592785403132439,
-0.01747400313615799,
0.008647285401821136,
0.01715654507279396,
0.015486439689993858,
-0.0428430549800396,
0.028654053807258606,
-0.015251796692609787,
0.019061295315623283,
0.01062104757875204,
-0.00874390359967947,
0.018191736191511154,
-0.021738985553383827,
0.0044099087826907635,
0.036687128245830536,
-0.020510559901595116,
0.02496877871453762,
0.0006409549969248474,
-0.04027578607201576,
-0.007653503213077784,
0.005807414650917053,
0.08822577446699142,
0.008640384301543236,
0.04935785010457039,
-0.01957198791205883,
-0.011904682964086533,
0.03373338654637337,
-0.007066895719617605,
0.03583136945962906,
0.06111760437488556,
0.021807998418807983,
0.01512757409363985,
-0.05857793986797333,
0.010179365985095501,
-0.029509810730814934,
0.007543082814663649,
0.001794329029507935,
-0.06647298485040665,
-0.037653304636478424,
0.04687339439988136,
0.04411288723349571,
-0.007681108545511961,
0.01231875829398632,
-0.004796379245817661,
0.037542883306741714,
0.003743936540558934,
-0.0059971995651721954,
-0.023781759664416313,
0.030945273116230965,
0.012939872220158577,
0.004454766865819693,
0.019944656640291214,
0.02375415526330471,
0.02848842367529869,
0.0340646468102932,
0.06696987897157669,
-0.021849406883120537,
0.00120944669470191,
0.015610662288963795,
0.02465132065117359,
0.0005939401453360915,
-0.012422277592122555,
0.002389563014730811,
-0.053802262991666794,
0.03682515025138855,
-0.017639635130763054,
-0.03859187662601471,
-0.027646468952298164,
-0.03202187269926071,
0.04750831052660942,
-0.03163539990782738,
-0.0029796212911605835,
-0.0208832286298275,
-0.011614829301834106,
0.029758255928754807,
0.022829385474324226,
-0.007901948876678944,
0.031911451369524,
0.04670776426792145,
-0.013609295710921288,
0.009061361663043499,
-0.0004912838339805603,
0.026901131495833397,
-0.08198703080415726,
0.00875080469995737,
-0.0039475238882005215,
0.0112697659060359,
0.0208832286298275,
-0.021959826350212097,
-0.0011119663249701262,
-0.007570688147097826,
-0.011787361465394497,
-0.03690796718001366,
-0.027108170092105865,
0.03163539990782738,
-0.0003275944327469915,
-0.02934418059885502,
-0.008157296106219292,
0.013754221610724926,
0.00913037359714508,
-0.0004792066174559295,
0.006359516177326441,
0.013526479713618755,
-0.01418900117278099,
0.02056577056646347,
-0.0019220024114474654,
0.024223441258072853,
-0.0005305347731336951,
0.0483640693128109,
0.012332561425864697,
-0.030834853649139404,
-0.03014472685754299,
-0.04817083105444908,
-0.030503593385219574,
-0.014975746162235737,
0.030503593385219574,
-0.004668706096708775,
0.020041273906826973,
-0.032159894704818726,
0.025907350704073906,
0.030172331258654594,
-0.022346297279000282,
0.036135025322437286,
0.0029968745075166225,
-0.05035163089632988,
-0.04320191964507103,
0.014796312898397446,
-0.004102802369743586,
-0.02681831642985344,
0.08325686305761337,
-0.008274617604911327,
0.04979953169822693,
0.02923375926911831,
-0.017184151336550713,
0.00003418283085920848,
-0.07271172851324081,
-0.018950873985886574,
-0.042373768985271454,
0.061393655836582184,
0.013043391518294811,
-0.0027674073353409767,
-0.07265651971101761,
-0.06547920405864716,
0.031083298847079277,
-0.03345733508467674,
0.012249746359884739,
-0.0175982266664505,
0.02099364995956421,
0.015237993560731411,
-0.008647285401821136,
0.015058561228215694,
-0.03837103396654129,
0.005155245307832956,
-0.00640092371031642,
0.02219446934759617,
-0.034009434282779694,
0.038315825164318085,
0.04135238379240036,
-0.006048959214240313,
0.011262864805758,
-0.023119239136576653,
0.04331234097480774,
-0.005241510923951864,
-0.03356775641441345,
-0.022139258682727814,
0.005020670592784882,
-0.004047592170536518,
-0.012132424861192703,
0.07044811546802521,
0.04300868511199951,
-0.008419543504714966,
0.004044141620397568,
-0.05222877487540245,
0.0946301519870758,
-0.07773585617542267,
-0.01584530435502529,
-0.02981346659362316,
-0.02451329492032528,
0.02288459613919258,
0.03273960202932358,
-0.00017824674432631582,
-0.007556885480880737,
0.21807998418807983,
0.023698944598436356,
0.015265598893165588,
-0.029316574335098267,
0.04212532192468643,
0.03723922744393349,
0.025479471310973167,
-0.007646602112799883,
0.029841070994734764,
0.04916461557149887,
-0.01616276428103447,
0.012442981824278831,
0.017101336270570755,
-0.036687128245830536,
0.004775675479322672,
0.0038060478400439024,
-0.02175278775393963,
0.01683908700942993,
0.030531197786331177,
-0.03646628558635712,
-0.0869007334113121,
-0.04104872792959213,
-0.03000670112669468,
0.016549235209822655,
-0.010269083082675934,
0.0002609540824778378,
0.030531197786331177,
0.0014708321541547775,
0.012077214196324348,
-0.039944522082805634,
-0.010593442246317863,
-0.0031642301473766565,
-0.003153878264129162,
-0.02585214003920555,
-0.05101415514945984,
0.010800479911267757,
-0.01038640458136797,
-0.01336084958165884,
0.010579640045762062,
0.002864025067538023,
-0.007008234970271587,
-0.017639635130763054,
0.040082547813653946,
0.034589141607284546,
0.020924637094140053,
0.06730113923549652,
-0.022028839215636253,
-0.0032901782542467117,
0.012277350760996342,
0.005890230182558298,
0.01958579197525978,
-0.027094367891550064,
-0.012974378652870655,
-0.03834342956542969,
-0.011932287365198135,
-0.008171098306775093,
-0.015610662288963795,
0.018757639452815056,
0.027894914150238037,
-0.048640117049217224,
0.03558292239904404,
-0.005424394737929106,
0.026569871231913567,
-0.003930270671844482,
-0.048640117049217224,
0.021131673827767372,
-0.012932971119880676,
0.04496864601969719,
-0.04587961360812187,
-0.016894297674298286,
0.00022946707031223923,
-0.012091017328202724,
-0.014589275233447552,
0.018329760059714317,
0.035665739327669144,
-0.019613396376371384,
-0.008964743465185165,
0.010648651979863644,
0.04408528283238411,
-0.032159894704818726,
-0.02826758287847042,
0.015030955895781517,
0.011138642206788063,
-0.00830912310630083,
0.0813245102763176,
0.04234616458415985,
0.009558252058923244,
-0.06144886836409569,
-0.004575538914650679,
-0.0025620947126299143,
0.006314657628536224,
0.04055183380842209,
-0.0461832694709301,
-0.031607795506715775,
-0.000023884847905719653
] |
1214_7 | Although two important constitutive elements of what later would emerge as Anglicanism were present in 1559 – scripture, the historic episcopate, the Book of Common Prayer, the teachings of the First Four Ecumenical Councils as the yardstick of catholicity, the teaching of the Church Fathers and Catholic bishops, and informed reason – neither the laypeople nor the clergy perceived themselves as Anglicans at the beginning of Elizabeth I's reign, as there was no such identity. Neither does the term via media appear until the 1627 to describe a church which refused to identify itself definitely as Catholic or Protestant, or as both, "and had decided in the end that this is virtue rather than a handicap".
Historical studies on the period 1560–1660 written before the late 1960s tended to project the predominant conformist spirituality and doctrine of the 1660s on the ecclesiastical situation one hundred years before, and there was also a tendency to take polemically binary partitions of reality claimed by contestants studied (such as the dichotomies Protestant-"Popish" or "Laudian"-"Puritan") at face value. Since the late 1960s, these interpretations have been criticised. Studies on the subject written during the last forty-five years have, however, not reached any consensus on how to interpret this period in English church history. The extent to which one or several positions concerning doctrine and spirituality existed alongside the more well-known and articulate Puritan movement and the Durham House Party, and the exact extent of continental Calvinism among the English elite and among the ordinary churchgoers from the 1560s to the 1620s are subjects of current and ongoing debate.
In 1662, under King Charles II, a revised Book of Common Prayer was produced, which was acceptable to high churchmen as well as some Puritans, and is still considered authoritative to this day. | [
0.007714538369327784,
-0.05451906844973564,
0.024710513651371002,
-0.0344567708671093,
0.02240139991044998,
0.019252609461545944,
0.008329302072525024,
-0.06963326781988144,
0.01761823520064354,
-0.023316048085689545,
0.00396597757935524,
-0.017738189548254013,
0.02168167568743229,
-0.005911480635404587,
-0.0316978320479393,
-0.056768205016851425,
-0.01859286241233349,
0.009723766706883907,
-0.06579474359750748,
0.02111189439892769,
0.014904278330504894,
0.001350419013760984,
-0.03670590743422508,
-0.05146024376153946,
0.0024871700443327427,
-0.0015875155804678798,
0.05778781324625015,
-0.0014872414758428931,
0.03517649322748184,
0.09662290662527084,
0.03871513530611992,
0.002788929268717766,
0.005326705053448677,
-0.028668994084000587,
-0.03229760006070137,
-0.0064212847501039505,
-0.001708406605757773,
-0.07479128986597061,
-0.000506992859300226,
-0.021381791681051254,
0.014476941898465157,
0.00012873962987214327,
-0.03271744027733803,
-0.00862168986350298,
0.008749141357839108,
0.023271065205335617,
-0.002016725717112422,
-0.006106405518949032,
-0.015923885628581047,
0.009086511097848415,
0.026224931702017784,
-0.011343144811689854,
-0.035686299204826355,
-0.041893914341926575,
0.01836794801056385,
-0.010098623111844063,
0.00783449225127697,
-0.02940371073782444,
-0.02997349202632904,
-0.006410039030015469,
0.03349713981151581,
0.014147068373858929,
0.028144195675849915,
-0.05253982916474342,
-0.049840863794088364,
-0.021036922931671143,
0.003857269184663892,
0.016883518546819687,
-0.002528404351323843,
-0.015773944556713104,
0.013089974410831928,
-0.013712235726416111,
0.0002937934477813542,
-0.01989736035466194,
-0.013052488677203655,
-0.03205769136548042,
0.018862757831811905,
0.010038645938038826,
0.030123434960842133,
0.007272208109498024,
0.023630928248167038,
0.032747428864240646,
0.010810849256813526,
-0.018682828173041344,
-0.028114207088947296,
0.029448693618178368,
-0.04192390292882919,
0.017528271302580833,
-0.002672723960131407,
-0.004888123366981745,
0.04276358336210251,
0.02592504769563675,
-0.03091813065111637,
0.007530858740210533,
0.03784547001123428,
0.02069205604493618,
-0.0208869818598032,
0.029463687911629677,
-0.0078045036643743515,
0.012325268238782883,
0.042103834450244904,
0.06471515446901321,
-0.019747419282794,
0.026794712990522385,
-0.06903349608182907,
0.007182242814451456,
-0.007797006517648697,
-0.008749141357839108,
-0.0015509671065956354,
-0.08036914467811584,
-0.004633221309632063,
0.009843721054494381,
0.018442919477820396,
-0.05337950587272644,
0.0037391893565654755,
0.01074337586760521,
-0.06213614344596863,
0.009416384622454643,
-0.021966567263007164,
0.028084218502044678,
0.017948109656572342,
-0.002001731423661113,
-0.023076141253113747,
-0.02685469016432762,
0.00039359889342449605,
0.01740831695497036,
-0.033197253942489624,
0.014004623517394066,
-0.058897387236356735,
0.027724355459213257,
0.022281445562839508,
0.007129762787371874,
-0.010518461465835571,
-0.005206751171499491,
-0.002772060688585043,
-0.0026352382265031338,
0.04159403219819069,
0.04393313452601433,
-0.019477522000670433,
-0.047471772879362106,
0.004007211420685053,
-0.025865070521831512,
-0.04819149896502495,
0.04873128980398178,
-0.012707620859146118,
-0.008351793512701988,
-0.048641324043273926,
0.012752603739500046,
-0.03247753158211708,
-0.0025658898521214724,
0.03658595308661461,
0.015106700360774994,
0.03232758864760399,
0.01895272359251976,
-0.009881206788122654,
-0.007737029809504747,
-0.0355963334441185,
-0.03517649322748184,
-0.025835081934928894,
-0.0027701864019036293,
-0.060036949813365936,
0.041504066437482834,
-0.007021054625511169,
-0.0006367868045344949,
-0.021426774561405182,
0.01053345575928688,
0.0001690366625552997,
-0.0054241674952209,
-0.0010739626595750451,
-0.034696679562330246,
-0.018652839586138725,
0.016733575612306595,
-0.03175780922174454,
0.01583392173051834,
0.028668994084000587,
0.0325075201690197,
-0.022746266797184944,
0.013307390734553337,
0.012062869034707546,
0.022701283916831017,
0.0009633801528252661,
-0.017303356900811195,
0.023046152666211128,
0.05295966938138008,
-0.003491784445941448,
-0.014694358222186565,
-0.019762413576245308,
-0.019087672233581543,
0.006297582294791937,
-0.05601849406957626,
-0.01294003240764141,
0.02805422991514206,
-0.008561712689697742,
0.030138429254293442,
0.04954098165035248,
-0.02611997164785862,
-0.028579028323292732,
-0.0033024821896106005,
-0.01956748776137829,
-0.03463670238852501,
-0.04543255642056465,
0.02956864796578884,
-0.016298742964863777,
0.02166668139398098,
-0.040304526686668396,
0.008479245007038116,
0.051550209522247314,
0.04705193638801575,
-0.034906599670648575,
0.01781316101551056,
-0.006252599414438009,
-0.04333336278796196,
0.006604964379221201,
0.06261596083641052,
0.03115803748369217,
-0.00453950697556138,
-0.004509518854320049,
-0.022776255384087563,
-0.03658595308661461,
-0.03466669097542763,
0.00131668196991086,
0.04552252218127251,
0.017258374020457268,
0.0028451576363295317,
-0.03016841784119606,
0.012122846208512783,
-0.008141874335706234,
0.10975786298513412,
-0.03379702568054199,
-0.0075346073135733604,
-0.030408326536417007,
0.03094811923801899,
0.019582482054829597,
0.020362183451652527,
0.043033476918935776,
0.0057053095661103725,
-0.022116508334875107,
0.04162402078509331,
-0.014791821129620075,
0.02824915386736393,
-0.013097471557557583,
0.024455610662698746,
0.04888123273849487,
0.021606704220175743,
-0.005330453626811504,
0.012400239706039429,
0.04279357194900513,
0.03055826760828495,
0.028758957982063293,
0.015106700360774994,
0.022911204025149345,
0.04309345409274101,
0.02360093966126442,
0.0013804074842482805,
-0.0069723231717944145,
0.007946949452161789,
0.053469471633434296,
0.036076150834560394,
-0.027814321219921112,
-0.05514882877469063,
0.012797586619853973,
-0.001079585519619286,
-0.012437724508345127,
-0.01024856511503458,
-0.0026596039533615112,
0.023076141253113747,
0.04087430611252785,
0.022476371377706528,
-0.0030157172586768866,
-0.028489062562584877,
-0.020976945757865906,
-0.02787429839372635,
-0.0661545991897583,
0.01024856511503458,
-0.03175780922174454,
0.028878912329673767,
-0.028279142454266548,
-0.06603464484214783,
0.03310728818178177,
-0.023151112720370293,
-0.007871977984905243,
0.03148791193962097,
0.0344567708671093,
-0.009101505391299725,
-0.014177056960761547,
0.020392170175909996,
-0.03736565634608269,
0.04231375455856323,
-0.06057674437761307,
0.02475549653172493,
-0.014319502748548985,
-0.02262631244957447,
-0.03865515813231468,
-0.007437144871801138,
-0.0037541836500167847,
0.024530582129955292,
-0.01411707978695631,
-0.004674455616623163,
-0.03409690782427788,
-0.06429531425237656,
0.009926188737154007,
-0.034516748040914536,
0.00015169956895988435,
0.010713387280702591,
0.010480975732207298,
0.029673608019948006,
-0.04606231674551964,
-0.01449943333864212,
0.02685469016432762,
-0.03652597591280937,
-0.059887006878852844,
0.028159189969301224,
0.009041529148817062,
-0.037245701998472214,
-0.02244638279080391,
0.05736797675490379,
0.012250296771526337,
0.013269905000925064,
-0.004404558800160885,
0.023241076618433,
-0.020017314702272415,
-0.03565631061792374,
0.014536919072270393,
-0.022566337138414383,
-0.014034612104296684,
0.04117419198155403,
0.006121399812400341,
-0.029823550954461098,
0.010563444346189499,
-0.013089974410831928,
-0.04504270851612091,
-0.021906590089201927,
0.011658024042844772,
-0.01820301078259945,
0.03018341213464737,
-0.011440607719123363,
-0.008644181303679943,
-0.00870415847748518,
0.03805539011955261,
-0.017318351194262505,
-0.006451273337006569,
-0.016148800030350685,
-0.026584792882204056,
-0.012152833864092827,
-0.030798176303505898,
0.010885820724070072,
-0.007519613020122051,
-0.02379586361348629,
0.015301625244319439,
-0.0010814598063006997,
0.02342100813984871,
0.017273368313908577,
-0.025055380538105965,
0.007658309768885374,
0.003124425420537591,
0.020767027512192726,
0.026194943115115166,
-0.02240139991044998,
-0.03853520378470421,
0.0036942067090421915,
0.026374874636530876,
0.045732442289590836,
-0.03193773701786995,
0.0015856412937864661,
0.009821229614317417,
-0.008696661330759525,
0.014904278330504894,
-0.006413787603378296,
0.016523655503988266,
-0.01568397879600525,
0.05334951728582382,
0.028773952275514603,
-0.008771632798016071,
0.010353525169193745,
-0.022686289623379707,
-0.0014403845416381955,
0.06135644391179085,
0.0018639719346538186,
0.04402310028672218,
-0.013749721460044384,
0.016973484307527542,
-0.0406344011425972,
0.01640370301902294,
0.011028265580534935,
0.032027702778577805,
0.007632069755345583,
-0.0339769572019577,
0.0034036932047456503,
-0.0417739637196064,
-0.04792160168290138,
-0.017498282715678215,
0.025775104761123657,
0.005922726355493069,
-0.057577893137931824,
-0.032387565821409225,
-0.007677052635699511,
0.033527128398418427,
0.02456057071685791,
-0.009446373209357262,
0.03697580471634865,
0.01854787953197956,
0.020002320408821106,
-0.07521112263202667,
0.012782592326402664,
-0.04087430611252785,
0.008149371482431889,
-0.02899886667728424,
0.08672670274972916,
-0.028968878090381622,
-0.010286050848662853,
-0.021621698513627052,
0.021531732752919197,
-0.013517310842871666,
-0.02498040907084942,
0.005101791117340326,
0.011005775071680546,
-0.04774167016148567,
-0.04099426046013832,
0.05029069259762764,
0.06579474359750748,
-0.07041296362876892,
-0.0031375454273074865,
0.05041064694523811,
0.03271744027733803,
0.014889284037053585,
-0.025100363418459892,
0.0011536196107044816,
0.024305667728185654,
0.013517310842871666,
0.016358720138669014,
-0.004599484149366617,
-0.03985469788312912,
0.042463697493076324,
-0.01421454269438982,
0.019807396456599236,
0.007339681964367628,
0.03637603297829628,
-0.02937372215092182,
-0.02940371073782444,
-0.008329302072525024,
0.015504047274589539,
0.03406691923737526,
-0.025955036282539368,
0.006638701073825359,
-0.004033451434224844,
0.019807396456599236,
0.03829529881477356,
0.011455602012574673,
0.00234847329556942,
0.02361593395471573,
0.023690905421972275,
-0.0723322331905365,
0.05553867667913437,
-0.06873361021280289,
-0.0220265444368124,
0.023301053792238235,
0.06066671013832092,
-0.06126647815108299,
0.02724453993141651,
0.03535642474889755,
0.02761939726769924,
0.021396785974502563,
-0.01817302219569683,
-0.02652481570839882,
0.034156884998083115,
0.044952742755413055,
-0.023166107013821602,
-0.01955249346792698,
0.014754335395991802,
0.006668689660727978,
0.023256070911884308,
0.040694378316402435,
0.002033594297245145,
-0.014072097837924957,
0.04060441255569458,
-0.01817302219569683,
-0.012797586619853973,
0.007347179111093283,
-0.010091125965118408,
-0.04390314593911171,
0.02108190581202507,
0.017873138189315796,
-0.057547904551029205,
0.0004535758635029197,
-0.03541640192270279,
0.000763300689868629,
-0.07227225601673126,
-0.022311434149742126,
-0.007058539893478155,
-0.021546727046370506,
0.013464830815792084,
0.01778317242860794,
0.017168408259749413,
-0.028713976964354515,
-0.028743965551257133,
-0.031607866287231445,
-0.01536909956485033,
-0.08672670274972916,
-0.05817766487598419,
0.00917647685855627,
0.0867866799235344,
0.058297619223594666,
-0.019207626581192017,
-0.01740831695497036,
0.005829012021422386,
0.024890443310141563,
-0.05388931185007095,
-0.009753755293786526,
0.006661192514002323,
0.023061146959662437,
0.007812000811100006,
0.007624572608619928,
0.046692073345184326,
0.030408326536417007,
-0.002886391943320632,
-0.020557107403874397,
0.028309131041169167,
0.023136118426918983,
-0.01625376008450985,
0.007856983691453934,
0.008269324898719788,
-0.05937720462679863,
0.01200289186090231,
-0.013374865055084229,
0.03196772560477257,
0.027214551344513893,
0.059107307344675064,
-0.018712814897298813,
-0.004948100540786982,
-0.05409923195838928,
-0.017138419672846794,
-0.02821916528046131,
-0.044952742755413055,
0.015249145217239857,
-0.0021179369650781155,
0.01782815530896187,
0.06873361021280289,
-0.040334515273571014,
0.0012763849226757884,
-0.024305667728185654,
0.0015996983274817467,
0.02514534629881382,
-0.005978954490274191,
-0.0012182822683826089,
-0.02360093966126442,
-0.028728971257805824,
0.0018386690644547343,
0.009581321850419044,
0.016283748671412468,
0.007320939563214779,
-0.027034621685743332,
-0.049031175673007965,
-0.0021479253191500902,
-0.025475218892097473,
-0.0005444784765131772,
-0.019447533413767815,
-0.025265300646424294,
-0.00003259490767959505,
-0.009716269560158253,
0.053859323263168335,
0.0021854110527783632,
0.05718804523348808,
0.02532527782022953,
-0.00860669557005167,
0.019207626581192017,
-0.020916970446705818,
0.0075346073135733604,
-0.0070098089054226875,
0.04003462940454483,
-0.032027702778577805,
0.024065760895609856,
0.016133805736899376,
0.017348339781165123,
0.03424685075879097,
-0.006713672541081905,
-0.02399078942835331,
0.02573012188076973,
-0.016148800030350685,
0.00415340531617403,
0.001036477042362094,
0.0034449275117367506,
-0.008126880042254925,
0.008651678450405598,
-0.023690905421972275,
0.004951849114149809,
-0.043993111699819565,
-0.019297590479254723,
0.06585472077131271,
-0.023750880733132362,
-0.027814321219921112,
-0.01604383997619152,
0.02163669280707836,
-0.007774515077471733,
-0.020542113110423088,
0.028773952275514603,
-0.052719760686159134,
-0.013922154903411865,
0.013172443024814129,
0.005199254024773836,
-0.023720894008874893,
-0.00937889888882637,
0.010968289338052273,
0.032777417451143265,
0.05092044919729233,
0.01498674601316452,
0.03496657684445381,
-0.03193773701786995,
-0.054069243371486664,
-0.027739349752664566,
-0.0065000043250620365,
0.04267361760139465,
0.027559420093894005,
-0.009423881769180298,
-0.004100925754755735,
-0.002252885140478611,
0.05565863102674484,
-0.022296439856290817,
-0.010878323577344418,
0.003849772037938237,
-0.005637835711240768,
-0.04624224826693535,
0.03583624213933945,
-0.0018695946782827377,
-0.05538873374462128,
0.017873138189315796,
-0.007114768493920565,
-0.022671295329928398,
0.02241639420390129,
0.031248003244400024,
0.015579018741846085,
0.04327338561415672,
-0.004044697154313326,
-0.019072677940130234,
0.0599769726395607,
-0.038805101066827774,
0.019222620874643326,
0.004513267427682877,
0.014829306863248348,
0.0033624591305851936,
0.021141882985830307,
0.0032593735959380865,
-0.07179243862628937,
0.020572101697325706,
-0.01326240785419941,
-0.012205313891172409,
0.02589505910873413,
-0.015893898904323578,
0.04201386868953705,
-0.026074988767504692,
0.04696197062730789,
0.026209937408566475,
0.007632069755345583,
0.01892273500561714,
-0.04327338561415672,
-0.032747428864240646,
0.0011161339934915304,
0.018697822466492653,
-0.03679587319493294,
-0.024050766602158546,
0.0012482707388699055,
0.043963123112916946,
-0.01277509517967701,
-0.0367358960211277,
0.01679355278611183,
0.053499460220336914,
-0.002528404351323843,
0.017258374020457268,
-0.0034074417781084776,
-0.042823560535907745,
-0.043063465505838394,
-0.056348368525505066,
-0.024245692417025566,
0.00043764448491856456,
-0.01839793659746647,
0.021561721339821815,
-0.03655596449971199,
-0.0117854755371809,
-0.06267593801021576,
0.03018341213464737,
-0.006571227218955755,
0.04561248794198036,
-0.015489053912460804,
0.007673304062336683,
-0.03244754299521446,
-0.0541292205452919,
-0.022341422736644745,
-0.018817774951457977,
-0.003216265235096216,
-0.007302196696400642,
-0.01760324090719223,
0.041654009371995926,
-0.050380658358335495,
-0.016868524253368378,
-0.010113617405295372,
0.024485599249601364,
-0.003079442773014307,
-0.018877752125263214,
0.023645922541618347,
0.03946484997868538,
0.007358424831181765,
0.028743965551257133,
0.026794712990522385,
0.03187775984406471,
0.01602884568274021,
0.004078434314578772,
-0.03172782063484192,
0.006556232925504446,
0.0016990351723507047,
0.04105423763394356,
-0.05376935750246048,
-0.053319528698921204,
-0.017333345487713814,
-0.006368804723024368,
-0.02652481570839882,
0.007185991387814283,
-0.002192908199504018,
0.018877752125263214,
0.03154788911342621,
-0.019642459228634834,
0.04141410067677498,
0.04174397513270378,
0.06687432527542114,
0.049391038715839386,
0.02917879819869995,
0.012715118005871773,
0.006736163981258869,
0.02706461027264595,
-0.03247753158211708,
0.04759172722697258,
-0.02106691151857376,
0.006282588001340628,
0.0015303499531000853,
0.02649482898414135,
-0.04366323724389076,
0.0370657704770565,
-0.02594004198908806,
0.02204153873026371,
-0.029493676498532295,
-0.006874860730022192,
-0.007774515077471733,
-0.03091813065111637,
0.054039254784584045,
-0.07862981408834457,
-0.014919272623956203,
-0.013082477264106274,
-0.031397946178913116,
-0.022371411323547363,
-0.04507269710302353,
-0.031098060309886932,
0.027799326926469803,
0.006717421114444733,
-0.002114188391715288,
-0.05158019810914993,
0.019102666527032852,
0.03439679369330406,
0.02459055930376053,
-0.015279133804142475,
0.0061026569455862045,
0.03211766853928566,
-0.0611165352165699,
0.021306820213794708,
0.014964254572987556,
-0.02652481570839882,
-0.0055141327902674675,
-0.022281445562839508,
-0.028743965551257133,
-0.015728961676359177,
0.03661594167351723,
0.05589853972196579,
0.025415241718292236,
0.04435297101736069,
-0.03544639050960541,
-0.007508367300033569,
0.010406005196273327,
-0.020452147349715233,
0.027004633098840714,
0.038775112479925156,
0.026659764349460602,
0.024905437603592873,
0.006961077451705933,
0.010795854963362217,
-0.03232758864760399,
-0.019282596185803413,
0.014574404805898666,
-0.054639022797346115,
-0.03151790052652359,
0.06759405136108398,
0.037215713411569595,
-0.03253750875592232,
0.0006456896080635488,
0.013194934464991093,
0.0414440892636776,
-0.0012866934994235635,
-0.00949135608971119,
-0.02685469016432762,
0.017468294128775597,
0.023106129840016365,
0.011080745607614517,
0.009528841823339462,
0.056558284908533096,
0.009821229614317417,
0.06759405136108398,
0.07826995104551315,
-0.031847771257162094,
-0.0034580472856760025,
0.01778317242860794,
0.0002633364056237042,
-0.029943503439426422,
0.025370260700583458,
0.008381782099604607,
-0.043813180178403854,
0.029133815318346024,
-0.022776255384087563,
-0.04141410067677498,
-0.021216854453086853,
-0.02225145697593689,
0.06279589235782623,
-0.04018457233905792,
0.006814883556216955,
-0.05065055564045906,
-0.02958364225924015,
0.030468301847577095,
0.004715689457952976,
0.0034749158658087254,
0.03697580471634865,
0.03268745169043541,
0.007365921977907419,
-0.023690905421972275,
0.028863918036222458,
0.008734147064387798,
-0.06147639825940132,
0.019987326115369797,
-0.010203582234680653,
0.010593432933092117,
-0.008779129944741726,
-0.017093436792492867,
-0.05823764204978943,
0.010166097432374954,
-0.009971171617507935,
-0.030483296141028404,
0.00299697439186275,
0.013712235726416111,
-0.004003462847322226,
-0.012715118005871773,
-0.0021629196126013994,
0.027514437213540077,
-0.015983862802386284,
0.02588006481528282,
0.0034692930057644844,
0.0021460510324686766,
-0.018442919477820396,
0.04585239663720131,
-0.0029688600916415453,
0.04057442396879196,
0.015414082445204258,
0.01140312198549509,
-0.010653410106897354,
0.006005194503813982,
-0.014694358222186565,
-0.039554815739393234,
-0.035866230726242065,
-0.006649946793913841,
0.016898512840270996,
0.014199548400938511,
0.013989629223942757,
0.00459573557600379,
0.03595619648694992,
0.014851798303425312,
-0.009513847529888153,
0.020227234810590744,
-0.023480985313653946,
0.008951563388109207,
-0.020017314702272415,
-0.024035772308707237,
0.0022135251201689243,
-0.0507105328142643,
0.0222664512693882,
-0.012887552380561829,
0.04042448103427887,
0.02761939726769924,
0.003988468553870916,
0.0035067787393927574,
-0.04156404361128807,
-0.007841989398002625,
-0.020197246223688126,
0.07401158660650253,
0.009453870356082916,
-0.014949260279536247,
-0.05685817077755928,
-0.06357559561729431,
0.040304526686668396,
-0.021771641448140144,
0.020557107403874397,
-0.024845462292432785,
0.005930223502218723,
-0.004479530267417431,
0.026359880343079567,
0.0025640155654400587,
-0.04156404361128807,
0.01516667753458023,
-0.013389859348535538,
0.03307729959487915,
-0.03544639050960541,
0.032987333834171295,
0.055988505482673645,
-0.009903698228299618,
0.012032880447804928,
-0.010113617405295372,
0.030438313260674477,
-0.007707041222602129,
-0.022536348551511765,
-0.03784547001123428,
-0.007185991387814283,
0.004903117660433054,
0.011208197101950645,
0.047261856496334076,
0.07473131269216537,
0.014431959018111229,
0.005941468756645918,
-0.06759405136108398,
0.055808573961257935,
-0.08618690818548203,
-0.007662058342248201,
-0.04462286829948425,
-0.015728961676359177,
0.012400239706039429,
0.022881215438246727,
0.02418571524322033,
-0.05844756215810776,
0.2665376663208008,
0.012025383301079273,
0.0026689753867685795,
-0.0101586002856493,
0.03328721970319748,
0.02052711881697178,
0.053319528698921204,
-0.010473478585481644,
0.02883392944931984,
0.002892014803364873,
0.012437724508345127,
0.018457913771271706,
-0.006016440223902464,
-0.028129201382398605,
0.0006306953728199005,
0.006053925957530737,
-0.01509920321404934,
-0.012910043820738792,
0.010091125965118408,
-0.02710959129035473,
-0.06036682426929474,
-0.015459065325558186,
-0.03691582754254341,
0.04732183367013931,
-0.027364494279026985,
0.015998857095837593,
0.019102666527032852,
-0.008996546268463135,
-0.005011825822293758,
-0.02418571524322033,
-0.024845462292432785,
-0.023271065205335617,
0.022596325725317,
-0.008644181303679943,
-0.06633453071117401,
0.006563730072230101,
0.0039022518321871758,
-0.040694378316402435,
-0.0009989914251491427,
0.023061146959662437,
0.0333172082901001,
-0.009153985418379307,
0.0316978320479393,
0.03175780922174454,
-0.0062788394279778,
0.09554331749677658,
-0.015908893197774887,
0.01063091866672039,
0.02420070953667164,
-0.009551333263516426,
0.030648233368992805,
-0.025460224598646164,
-0.031098060309886932,
-0.058327607810497284,
-0.004824397619813681,
-0.026179948821663857,
0.0031281739939004183,
-0.015151683241128922,
0.040124595165252686,
-0.07083280384540558,
0.021306820213794708,
-0.011050757020711899,
0.05649830773472786,
0.021906590089201927,
-0.04588238522410393,
0.009483858942985535,
0.024125738069415092,
0.0364060215651989,
-0.023166107013821602,
-0.03094811923801899,
0.0033212248235940933,
-0.044382959604263306,
-0.010900815017521381,
0.009041529148817062,
0.028758957982063293,
-0.046332214027643204,
-0.006563730072230101,
0.01380969863384962,
0.009123996831476688,
-0.0390150211751461,
-0.021411780267953873,
0.009543836116790771,
0.024605553597211838,
-0.0026689753867685795,
0.0529896579682827,
0.04417303949594498,
-0.004828146193176508,
-0.05589853972196579,
-0.03496657684445381,
-0.0038385263178497553,
0.030018474906682968,
0.008876591920852661,
-0.0313679575920105,
-0.0476217158138752,
0.00957382470369339
] |
1214_8 | In so far as Anglicans derived their identity from both parliamentary legislation and ecclesiastical tradition, a crisis of identity could result wherever secular and religious loyalties came into conflict – and such a crisis indeed occurred in 1776 with the American Declaration of Independence, most of whose signatories were, at least nominally, Anglican. For these American patriots, even the forms of Anglican services were in doubt, since the Prayer Book rites of Matins, Evensong, and Holy Communion all included specific prayers for the British Royal Family. Consequently, the conclusion of the War of Independence eventually resulted in the creation of two new Anglican churches, the Episcopal Church in the United States in those states that had achieved independence; and in the 1830s The Church of England in Canada became independent from the Church of England in those North American colonies which had remained under British control and to which many Loyalist churchmen had migrated.
Reluctantly, legislation was passed in the British Parliament (the Consecration of Bishops Abroad Act 1786) to allow bishops to be consecrated for an American church outside of allegiance to the British Crown (since no dioceses had ever been established in the former American colonies). Both in the United States and in Canada, the new Anglican churches developed novel models of self-government, collective decision-making, and self-supported financing; that would be consistent with separation of religious and secular identities.
In the following century, two further factors acted to accelerate the development of a distinct Anglican identity. From 1828 and 1829, Dissenters and Catholics could be elected to the House of Commons, which consequently ceased to be a body drawn purely from the established churches of Scotland, England, and Ireland; but which nevertheless, over the following ten years, engaged in extensive reforming legislation affecting the interests of the English and Irish churches; which, by the Acts of Union of 1800, had been reconstituted as the United Church of England and Ireland. The propriety of this legislation was bitterly contested by the Oxford Movement (Tractarians), who in response developed a vision of Anglicanism as religious tradition deriving ultimately from the ecumenical councils of the patristic church. Those within the Church of England opposed to the Tractarians, and to their revived ritual practices, introduced a stream of bills in parliament aimed to control innovations in worship. This only made the dilemma more acute, with consequent continual litigation in the secular and ecclesiastical courts. | [
-0.029214154928922653,
-0.051838651299476624,
-0.002978159813210368,
0.0066116247326135635,
0.01911001093685627,
0.014043295755982399,
0.002465630881488323,
-0.038835056126117706,
0.025333577767014503,
0.0060258773155510426,
0.01722097583115101,
-0.007731866557151079,
-0.009035155177116394,
-0.01597626321017742,
-0.023825278505682945,
-0.032626133412122726,
-0.03274328261613846,
0.005026445724070072,
-0.04639120027422905,
0.04712338373064995,
0.023122381418943405,
0.007870981469750404,
-0.03863004595041275,
-0.0632021501660347,
0.05233653634786606,
-0.0005857474752701819,
0.056495342403650284,
-0.005008141044527292,
0.005048410966992378,
0.0583990216255188,
0.028364822268486023,
-0.025787532329559326,
-0.03411979228258133,
-0.05178007856011391,
0.0002983651065733284,
-0.021321207284927368,
-0.007072900887578726,
-0.07075829803943634,
0.005670767743140459,
-0.027632636949419975,
-0.009591614827513695,
-0.04155878350138664,
-0.027178682386875153,
-0.027193326503038406,
-0.036140620708465576,
0.046479061245918274,
0.010960799641907215,
-0.0034229618031531572,
-0.0017663947073742747,
0.012190869078040123,
0.03889363259077072,
-0.01181013323366642,
-0.042642414569854736,
-0.005824526306241751,
0.003703022375702858,
-0.004261313006281853,
0.028555190190672874,
-0.013208605349063873,
-0.022756289690732956,
-0.012644823640584946,
0.026519717648625374,
0.012249443680047989,
0.029477741569280624,
-0.03649206832051277,
-0.04387248679995537,
-0.03324116766452789,
-0.020266862586140633,
0.011934604495763779,
-0.00731086079031229,
-0.04521970450878143,
0.019842196255922318,
-0.0443703718483448,
-0.022741645574569702,
-0.03382691740989685,
0.02173123136162758,
-0.04721124470233917,
-0.009555005468428135,
-0.0628507062792778,
0.015493020415306091,
-0.0062418715097010136,
0.009745373390614986,
0.04480968043208122,
-0.01995934545993805,
-0.037312112748622894,
-0.027120107784867287,
0.023019876331090927,
-0.04357961192727089,
0.05863332375884056,
0.0014808428240939975,
0.009174269624054432,
0.01874391920864582,
0.006011233665049076,
-0.026885809376835823,
0.012981628067791462,
0.030663879588246346,
0.034324802458286285,
-0.021335851401090622,
0.017206331714987755,
0.04410678520798683,
-0.015888400375843048,
0.045161131769418716,
0.03640420734882355,
-0.02720797061920166,
0.037868574261665344,
-0.029477741569280624,
0.03792715072631836,
-0.005590227432549,
0.000060748418036382645,
0.0132159274071455,
-0.07269126176834106,
0.01826067827641964,
-0.003230763366445899,
0.05353732034564018,
-0.05558743700385094,
0.009818592108786106,
0.04762126877903938,
-0.04776770621538162,
0.008551913313567638,
-0.026153624057769775,
0.0391865074634552,
-0.002645015949383378,
-0.0008978410623967648,
0.025904681533575058,
-0.01954932138323784,
-0.024821048602461815,
-0.021013690158724785,
-0.009877166710793972,
0.013208605349063873,
-0.03860075771808624,
0.06367074698209763,
0.010697213001549244,
-0.04132448509335518,
-0.022360909730196,
-0.01619591750204563,
0.0032289328519254923,
0.016400929540395737,
0.012044432573020458,
0.03429551422595978,
0.009694120846688747,
-0.044194646179676056,
-0.00968679878860712,
-0.009291419759392738,
-0.025040704756975174,
0.04530756548047066,
0.0284673273563385,
0.013464869931340218,
-0.0028719929978251457,
0.02909700572490692,
-0.016767021268606186,
-0.03945009410381317,
0.039684392511844635,
0.03637491911649704,
0.029302017763257027,
0.015961619094014168,
-0.0007692512008361518,
-0.0003340591210871935,
-0.013874893076717854,
-0.055206701159477234,
0.004459002520889044,
0.032362546771764755,
-0.04820701852440834,
0.046479061245918274,
0.009935741312801838,
0.03485197573900223,
-0.013018237426877022,
0.012454455718398094,
-0.025421440601348877,
0.0006351699121296406,
-0.03060530498623848,
-0.0034559101331979036,
0.02580217644572258,
-0.013538088649511337,
-0.05992196500301361,
0.008939971216022968,
0.03297758102416992,
0.04568830132484436,
-0.013420939445495605,
0.008420119993388653,
0.027559418231248856,
0.030283143743872643,
-0.027808360755443573,
0.007435332052409649,
0.023195600137114525,
0.0010909546399489045,
0.010177362710237503,
0.002831722842529416,
-0.04226167872548103,
-0.017660286277532578,
-0.02565573900938034,
-0.04352103918790817,
-0.0104409484192729,
0.025201784446835518,
-0.0075781079940497875,
0.022082678973674774,
0.052775848656892776,
0.006849584635347128,
-0.030371006578207016,
-0.02476247400045395,
-0.039537955075502396,
-0.020545093342661858,
-0.027325119823217392,
0.012059075757861137,
-0.010682569816708565,
0.020867254585027695,
-0.04009441286325455,
-0.0033277778420597315,
0.09401246905326843,
0.045073267072439194,
-0.025450726971030235,
0.023722773417830467,
0.0032454070169478655,
-0.028408752754330635,
-0.024484245106577873,
0.04750411957502365,
-0.004455341957509518,
0.011634409427642822,
0.0006525592762045562,
-0.015156215988099575,
-0.0054877218790352345,
-0.04624476283788681,
0.008720315992832184,
0.020501160994172096,
-0.011326891370117664,
0.03031243197619915,
-0.048294879496097565,
-0.032362546771764755,
0.03915721923112869,
0.10789468139410019,
-0.04381391033530235,
-0.026680797338485718,
-0.022199830040335655,
-0.008939971216022968,
0.031191052868962288,
0.03341689333319664,
0.06249925494194031,
-0.02003256417810917,
-0.026592934504151344,
0.058018285781145096,
-0.028935926035046577,
0.04551257938146591,
0.015580883249640465,
0.0067873490042984486,
0.05198508873581886,
0.011034018360078335,
-0.0025663061533123255,
0.0175577811896801,
0.035467009991407394,
0.03245041146874428,
0.032919008284807205,
0.03575988486409187,
0.04240811616182327,
0.03833717107772827,
0.03520342335104942,
0.019432172179222107,
0.004784824792295694,
0.04302315041422844,
0.06536941975355148,
0.0321575365960598,
-0.004199077375233173,
-0.024718543514609337,
0.027661925181746483,
0.002846366725862026,
-0.011407432146370411,
-0.01195657067000866,
-0.020603667944669724,
0.004404088947921991,
0.03760498762130737,
0.030136708170175552,
0.011590478010475636,
-0.017528492957353592,
-0.02953631617128849,
-0.03388549014925957,
-0.018758563324809074,
0.02243412844836712,
-0.023854566738009453,
0.02827695943415165,
0.006545728072524071,
-0.045483291149139404,
0.029140936210751534,
-0.0118320994079113,
-0.004810451064258814,
0.020969759672880173,
-0.006754400674253702,
0.02354704774916172,
-0.01777743548154831,
-0.012952340766787529,
-0.028701625764369965,
0.010565419681370258,
-0.024015646427869797,
0.04164664447307587,
-0.0005120714195072651,
-0.022741645574569702,
-0.023634910583496094,
-0.0030751742888242006,
-0.0037561056669801474,
0.00727425143122673,
-0.022375553846359253,
-0.025553233921527863,
-0.044751107692718506,
-0.06308500468730927,
0.05230724811553955,
0.00026450160657987,
-0.008310291916131973,
0.02502606064081192,
-0.03104461543262005,
0.042232394218444824,
-0.02553858980536461,
-0.006391969509422779,
0.01148065086454153,
-0.030488155782222748,
-0.049114927649497986,
0.022975943982601166,
-0.0014369117561727762,
-0.038835056126117706,
-0.022580565884709358,
0.05016927048563957,
0.009913776069879532,
0.028584476560354233,
-0.007900268770754337,
-0.008193142712116241,
-0.03936222940683365,
-0.021687300875782967,
0.014167767018079758,
-0.014072583056986332,
-0.023517761379480362,
0.0743313580751419,
0.0124764209613204,
-0.016942745074629784,
0.005282709840685129,
-0.0035931947641074657,
-0.007285234052687883,
-0.017616355791687965,
0.005344945937395096,
-0.02550930343568325,
-0.010645960457623005,
-0.011055983603000641,
0.001694091479294002,
-0.0018441893626004457,
0.019432172179222107,
-0.008932649157941341,
0.005216813646256924,
-0.043345313519239426,
-0.05090145394206047,
-0.01648879051208496,
0.007321843411773443,
0.029448455199599266,
-0.02398635819554329,
-0.03804429993033409,
0.029067719355225563,
-0.020208287984132767,
0.03104461543262005,
0.020764747634530067,
-0.047591980546712875,
-0.0043381922878324986,
0.025553233921527863,
0.025201784446835518,
-0.017059896141290665,
-0.0039062034338712692,
-0.047562696039676666,
-0.00038668487104587257,
0.012966984882950783,
0.03962581604719162,
-0.03649206832051277,
-0.0009344502468593419,
0.0025791192892938852,
-0.04196880757808685,
-0.020720817148685455,
0.017718860879540443,
0.02543608471751213,
-0.02856983244419098,
0.03649206832051277,
0.03344618156552315,
-0.0030239212792366743,
0.03163036331534386,
-0.02490891143679619,
0.007380418013781309,
0.06109346076846123,
0.012754651717841625,
-0.0027969442307949066,
-0.004499272909015417,
0.015434445813298225,
-0.015536951832473278,
0.007673291955143213,
-0.007541498634964228,
0.025977900251746178,
0.012491065077483654,
-0.05260012298822403,
0.02429387718439102,
-0.052951570600271225,
-0.05078430473804474,
0.009979672729969025,
-0.010653282515704632,
0.0005358674097806215,
-0.08235609531402588,
-0.018641414120793343,
0.0035382809583097696,
0.05479667708277702,
0.012176225893199444,
0.006937446538358927,
0.033768340945243835,
0.020354725420475006,
0.02987312152981758,
-0.04246669262647629,
0.003276524832472205,
-0.023444542661309242,
0.020794035866856575,
-0.028862707316875458,
0.07274983823299408,
-0.021760519593954086,
-0.03819073364138603,
-0.011195098981261253,
0.03060530498623848,
-0.016474148258566856,
-0.019095366820693016,
0.025772888213396072,
-0.017513848841190338,
-0.07878303527832031,
-0.011048661544919014,
0.06244068220257759,
0.047152671962976456,
-0.061679210513830185,
-0.011414754204452038,
0.047591980546712875,
0.018773207440972328,
0.005154578015208244,
-0.0469476617872715,
0.013164674863219261,
0.027251901105046272,
0.02143835835158825,
0.026417210698127747,
0.016840239986777306,
-0.055323850363492966,
0.015990905463695526,
-0.0026138981338590384,
-0.015361227095127106,
0.017879942432045937,
0.0229173693805933,
-0.02321024425327778,
0.008661740459501743,
-0.03581845760345459,
-0.0010799719020724297,
0.05022784695029259,
-0.03230397403240204,
-0.022346265614032745,
-0.01689881458878517,
0.021570151671767235,
0.03300686925649643,
0.007797763217240572,
0.014863342046737671,
0.014116514474153519,
0.03309473395347595,
-0.05629033222794533,
0.021892311051487923,
-0.06021483987569809,
-0.01932966709136963,
0.0041624680161476135,
0.03666779026389122,
-0.040387287735939026,
0.02347383089363575,
0.015126928687095642,
0.016767021268606186,
0.010235937312245369,
0.0000946691507124342,
-0.0321575365960598,
-0.00007190278847701848,
0.06747810542583466,
-0.021042978391051292,
-0.020632954314351082,
0.01110723614692688,
0.01581518165767193,
0.012059075757861137,
0.02077939175069332,
0.010008960030972958,
-0.012154259718954563,
0.013633272610604763,
-0.039420805871486664,
0.014248307794332504,
0.013479514047503471,
-0.05784256383776665,
-0.02676866017282009,
-0.008866752497851849,
-0.01859748177230358,
-0.045483291149139404,
0.005963641684502363,
-0.06466652452945709,
-0.024206014350056648,
-0.055909596383571625,
0.01651807874441147,
-0.0175577811896801,
0.008610487915575504,
0.0006182381766848266,
0.047709133476018906,
0.029653465375304222,
0.007497567683458328,
-0.029550960287451744,
-0.014153123833239079,
-0.03034171834588051,
-0.0876278206706047,
-0.056319620460271835,
0.0033259473275393248,
0.06560371816158295,
0.04542471840977669,
-0.015156215988099575,
-0.013728456571698189,
0.009269453585147858,
0.026710085570812225,
-0.046156901866197586,
-0.020911185070872307,
0.027603350579738617,
0.01641557365655899,
-0.004466324578970671,
-0.001327084144577384,
0.033768340945243835,
0.05948265641927719,
0.004253990948200226,
-0.015961619094014168,
0.022946657612919807,
0.00909372977912426,
-0.03450052812695503,
0.024674613028764725,
0.033621903508901596,
-0.02817445434629917,
0.015082997269928455,
-0.0020354725420475006,
0.018070310354232788,
0.03455910086631775,
0.023898497223854065,
-0.009386603720486164,
-0.009950385428965092,
-0.05939479544758797,
-0.007878303527832031,
-0.01903679221868515,
-0.028086591511964798,
-0.009957707487046719,
0.004096571356058121,
0.04372604936361313,
0.08499196171760559,
-0.00484339939430356,
0.004876347724348307,
-0.048441316932439804,
-0.004594456870108843,
-0.012293375097215176,
0.0071680848486721516,
-0.009291419759392738,
-0.04852917790412903,
-0.021277276799082756,
0.010697213001549244,
-0.002914093667641282,
0.014431353658437729,
-0.015551595017313957,
-0.007819728925824165,
0.0055096871219575405,
0.03508627414703369,
-0.023385968059301376,
0.0008406391716562212,
-0.011905317194759846,
-0.050403568893671036,
-0.016649872064590454,
0.003814680501818657,
0.023078450933098793,
-0.016679158434271812,
0.03496912494301796,
0.013691847212612629,
-0.011012052185833454,
-0.008200464770197868,
-0.022038748487830162,
0.0019970329012721777,
-0.05889691039919853,
0.046889085322618484,
-0.033358316868543625,
-0.010418983176350594,
0.009913776069879532,
0.027002958580851555,
0.0395672433078289,
-0.01799709163606167,
-0.008017418906092644,
0.011077948845922947,
-0.02602183073759079,
0.009101051837205887,
-0.013596663251519203,
0.003450418822467327,
-0.03086889162659645,
0.021277276799082756,
-0.06156206130981445,
-0.006483492441475391,
-0.03775142505764961,
-0.030927466228604317,
0.031103190034627914,
-0.01047755777835846,
-0.025084635242819786,
-0.02783764898777008,
0.03329974412918091,
0.004323548637330532,
-0.010301833972334862,
0.020413300022482872,
-0.02890663780272007,
-0.04838274046778679,
0.023415254428982735,
0.0021398088429123163,
-0.003968439064919949,
-0.030517444014549255,
0.013281824067234993,
0.028101235628128052,
0.029917052015662193,
0.015244077891111374,
0.019768977537751198,
-0.045746877789497375,
-0.027222614735364914,
0.009035155177116394,
-0.024572106078267097,
0.05148720368742943,
0.04975924640893936,
-0.01947610266506672,
0.01153190340846777,
-0.034881263971328735,
0.031220341101288795,
-0.020398655906319618,
-0.008837465196847916,
0.002840875182300806,
-0.020984403789043427,
-0.03915721923112869,
0.006772705353796482,
-0.0043784622102975845,
-0.03739997744560242,
0.029726684093475342,
-0.030956754460930824,
-0.028994500637054443,
0.02221447229385376,
0.0011705796932801604,
-0.016034837812185287,
0.03271399810910225,
-0.018831782042980194,
-0.031249627470970154,
0.0831761434674263,
-0.04316958785057068,
0.015829825773835182,
-0.01079239696264267,
0.01293769758194685,
0.026812590658664703,
0.058574747294187546,
-0.010433627292513847,
-0.05172150209546089,
-0.019871482625603676,
0.020940471440553665,
-0.03133748844265938,
0.033768340945243835,
0.040826600044965744,
0.04791414365172386,
0.012988950125873089,
0.012366593815386295,
0.00315571459941566,
0.015800537541508675,
0.021189415827393532,
0.0026852861046791077,
-0.034061215817928314,
0.010667925700545311,
0.020427942276000977,
-0.021570151671767235,
-0.00015719082148279995,
0.021423714235424995,
0.019754333421587944,
-0.018656056374311447,
0.01855355128645897,
0.00016886001685634255,
0.04056301340460777,
0.02580217644572258,
0.0008621470769867301,
0.0014268442755565047,
-0.06121060997247696,
-0.02151157520711422,
-0.019607895985245705,
-0.021160127595067024,
0.0014048786833882332,
0.01528800930827856,
0.030546730384230614,
-0.02177516184747219,
-0.011941926553845406,
-0.04627405107021332,
-0.010931512340903282,
-0.01164173148572445,
0.038835056126117706,
-0.03599418327212334,
-0.020676886662840843,
-0.01393346767872572,
-0.07075829803943634,
-0.011195098981261253,
-0.04041657596826553,
-0.04551257938146591,
0.028262315317988396,
-0.03089817985892296,
0.03945009410381317,
-0.051955800503492355,
0.010118787176907063,
-0.05798900127410889,
-0.0005097833345644176,
0.004993497394025326,
-0.02473318763077259,
0.00798813160508871,
0.04847060516476631,
0.03663850575685501,
0.0279108677059412,
0.006878871936351061,
0.014870664104819298,
0.043755337595939636,
0.007094866130501032,
-0.04050443693995476,
0.0032325938809663057,
-0.01563945785164833,
-0.0026779642794281244,
-0.018729275092482567,
-0.0465669259428978,
-0.019007505849003792,
0.035613447427749634,
-0.03737068921327591,
-0.0016638889210298657,
-0.01782136783003807,
0.01454850286245346,
0.008639775216579437,
-0.019827552139759064,
0.04741625860333443,
0.056583207100629807,
0.02192159928381443,
0.03950866684317589,
-0.012703398242592812,
0.01051416713744402,
0.008866752497851849,
0.013201283290982246,
-0.03605275601148605,
0.038278598338365555,
-0.018084952607750893,
0.007343809120357037,
-0.018773207440972328,
0.017382055521011353,
-0.05541171133518219,
0.03690209239721298,
-0.06144490838050842,
0.03452981263399124,
-0.06290927529335022,
-0.004832416772842407,
0.01125367358326912,
-0.005963641684502363,
0.04958352446556091,
-0.01212497241795063,
0.03341689333319664,
-0.0032252720557153225,
0.003939151763916016,
-0.021013690158724785,
-0.07157833874225616,
-0.04653763771057129,
0.026856521144509315,
0.016503434628248215,
-0.027969442307949066,
-0.039420805871486664,
0.03693137690424919,
0.007164423819631338,
0.006172313820570707,
-0.040240850299596786,
-0.00696673383936286,
0.030986040830612183,
-0.02739833854138851,
0.057168953120708466,
0.013486835174262524,
-0.007475601974874735,
0.0038586114533245564,
-0.0031886629294604063,
-0.03300686925649643,
-0.022858794778585434,
0.0126594677567482,
0.05418164283037186,
0.03382691740989685,
0.010733822360634804,
-0.017718860879540443,
-0.01090222503989935,
-0.0042027379386126995,
-0.005000818986445665,
0.05356660485267639,
0.05145791545510292,
0.001025973353534937,
-0.0124764209613204,
-0.023312749341130257,
-0.007746510207653046,
-0.036023471504449844,
-0.04120733588933945,
-0.01353076659142971,
-0.04961281269788742,
-0.0654279962182045,
0.05596817284822464,
0.051252905279397964,
-0.011180454865098,
0.015068354085087776,
-0.0006699486984871328,
0.03669707849621773,
0.011912639252841473,
-0.0031044615898281336,
-0.022668426856398582,
0.00926213152706623,
0.004056301433593035,
0.0031337488908320665,
0.0022313317749649286,
0.06302642822265625,
0.0008635199046693742,
0.060859162360429764,
0.037282828241586685,
0.013596663251519203,
0.009994315914809704,
0.024440312758088112,
-0.02473318763077259,
-0.012696076184511185,
0.01581518165767193,
0.009174269624054432,
-0.04817773029208183,
0.005945337004959583,
-0.007892947643995285,
-0.026007188484072685,
-0.040270138531923294,
-0.0062491935677826405,
0.041793081909418106,
-0.03915721923112869,
-0.018289964646100998,
-0.01903679221868515,
-0.043345313519239426,
0.011348857544362545,
0.03611133247613907,
0.018538907170295715,
0.0676538348197937,
0.05356660485267639,
0.0014460640959441662,
0.01908072456717491,
0.008090636692941189,
0.004001387394964695,
-0.046596210449934006,
0.01571267656981945,
-0.011524581350386143,
0.035906318575143814,
0.02550930343568325,
-0.018729275092482567,
-0.010345764458179474,
0.0001365981443086639,
-0.009123017080128193,
-0.02786693535745144,
-0.019139299169182777,
0.0535958930850029,
0.008522626012563705,
-0.019637184217572212,
-0.005590227432549,
0.024425670504570007,
-0.0013838284648954868,
0.017982447519898415,
0.00279145292006433,
0.0066701993346214294,
-0.04413607344031334,
0.05204366147518158,
0.009913776069879532,
0.03414907678961754,
0.014731548726558685,
0.017455274239182472,
0.014841376803815365,
-0.007841694168746471,
0.011297604069113731,
-0.03403192758560181,
-0.020867254585027695,
0.00382566312327981,
0.06355360150337219,
-0.02820374071598053,
-0.011004731059074402,
-0.018904998898506165,
0.015361227095127106,
0.01988612674176693,
-0.02429387718439102,
0.03540843352675438,
0.004089249763637781,
-0.031220341101288795,
-0.013999364338815212,
0.0012090194504708052,
-0.0038915597833693027,
-0.04202738031744957,
0.052395112812519073,
-0.043345313519239426,
0.059277646243572235,
0.024279233068227768,
-0.009701442904770374,
-0.0031868324149399996,
-0.04685979709029198,
0.025772888213396072,
-0.0012016975088045,
0.07843158394098282,
0.036726366728544235,
-0.016547366976737976,
-0.04085588455200195,
-0.06501796841621399,
0.015771251171827316,
-0.02832088991999626,
-0.006695825606584549,
0.0026230504736304283,
0.0072083547711372375,
0.0391865074634552,
0.001958593027666211,
-0.006337055470794439,
-0.025011416524648666,
0.016605941578745842,
0.004956888034939766,
0.019490746781229973,
-0.021467644721269608,
0.03338760510087013,
0.07679149508476257,
-0.0011019374942407012,
-0.0022240099497139454,
-0.027896223589777946,
0.030078133568167686,
0.005246100947260857,
-0.023049162700772285,
-0.03245041146874428,
-0.03373905271291733,
-0.007230320479720831,
-0.003415639977902174,
0.02107226476073265,
0.07772868871688843,
0.044048208743333817,
-0.022595208138227463,
-0.041265908628702164,
0.08288326859474182,
-0.06484224647283554,
-0.00517654325813055,
-0.022009462118148804,
-0.03212824836373329,
-0.000347101129591465,
0.01497317012399435,
0.014094548299908638,
-0.03640420734882355,
0.2532772123813629,
0.017645642161369324,
0.021394426003098488,
-0.044077496975660324,
0.01767493039369583,
0.048851341009140015,
0.026373280212283134,
-0.023503117263317108,
0.019973989576101303,
0.021672656759619713,
-0.0373414009809494,
0.004008709453046322,
0.008852108381688595,
0.008515303954482079,
0.021042978391051292,
0.007091205567121506,
-0.0017343616345897317,
-0.014834054745733738,
0.02184838056564331,
-0.041090186685323715,
-0.06683378666639328,
-0.030429581180214882,
-0.0354962982237339,
0.05579244717955589,
-0.013779709115624428,
0.006402952130883932,
0.028262315317988396,
-0.02801337279379368,
0.013545410707592964,
-0.04671335965394974,
-0.011590478010475636,
-0.024894267320632935,
0.006955751217901707,
-0.035467009991407394,
-0.04369676113128662,
0.005974624305963516,
-0.00933535024523735,
-0.04726982116699219,
0.019139299169182777,
0.04070945084095001,
0.014892629347741604,
-0.03031243197619915,
0.017689574509859085,
0.010719179175794125,
0.011890674009919167,
0.0713440403342247,
-0.046889085322618484,
0.028247671201825142,
0.003983082715421915,
-0.03268470987677574,
0.011736915446817875,
-0.009979672729969025,
0.01700131967663765,
-0.002840875182300806,
-0.031220341101288795,
-0.011692984029650688,
-0.011319570243358612,
-0.0039025426376610994,
0.012359271757304668,
-0.04255455359816551,
0.017455274239182472,
0.017733504995703697,
0.0606248639523983,
0.010543454438447952,
-0.040797311812639236,
0.03737068921327591,
-0.020501160994172096,
0.0351155623793602,
-0.012081041932106018,
-0.007636682596057653,
-0.030078133568167686,
-0.056905366480350494,
-0.023049162700772285,
-0.009957707487046719,
0.03245041146874428,
-0.04059230163693428,
-0.007746510207653046,
0.006315089762210846,
0.023854566738009453,
-0.0480605810880661,
-0.036433491855859756,
-0.03189394995570183,
0.011524581350386143,
0.037868574261665344,
0.07233981043100357,
0.031191052868962288,
-0.00382200232706964,
-0.030078133568167686,
0.017587067559361458,
-0.003386352676898241,
0.033182594925165176,
0.04483896866440773,
-0.03763427585363388,
-0.04059230163693428,
0.0067873490042984486
] |
1214_9 | Over the same period, Anglican churches engaged vigorously in Christian missions, resulting in the creation, by the end of the century, of over ninety colonial bishoprics, which gradually coalesced into new self-governing churches on the Canadian and American models. However, the case of John Colenso, Bishop of Natal, reinstated in 1865 by the English Judicial Committee of the Privy Council over the heads of the Church in South Africa, demonstrated acutely that the extension of episcopacy had to be accompanied by a recognised Anglican ecclesiology of ecclesiastical authority, distinct from secular power.
Consequently, at the instigation of the bishops of Canada and South Africa, the first Lambeth Conference was called in 1867; to be followed by further conferences in 1878 and 1888, and thereafter at ten-year intervals. The various papers and declarations of successive Lambeth Conferences have served to frame the continued Anglican debate on identity, especially as relating to the possibility of ecumenical discussion with other churches. This ecumenical aspiration became much more of a possibility, as other denominational groups rapidly followed the example of the Anglican Communion in founding their own transnational alliances: the Alliance of Reformed Churches, the Ecumenical Methodist Council, the International Congregational Council, and the Baptist World Alliance.
Theories
Anglicanism was seen as a middle way, or via media, between two branches of Protestantism, Lutheranism and Reformed Christianity. In their rejection of absolute parliamentary authority, the Tractarians – and in particular John Henry Newman – looked back to the writings of 17th-century Anglican divines, finding in these texts the idea of the English church as a via media between the Protestant and Catholic traditions. This view was associated – especially in the writings of Edward Bouverie Pusey – with the theory of Anglicanism as one of three "branches" (alongside the Roman Catholic Church and the Orthodox Church) historically arising out of the common tradition of the earliest ecumenical councils. Newman himself subsequently rejected his theory of the via media, as essentially historicist and static and hence unable to accommodate any dynamic development within the church. Nevertheless, the aspiration to ground Anglican identity in the writings of the 17th-century divines and in faithfulness to the traditions of the Church Fathers reflects a continuing theme of Anglican ecclesiology, most recently in the writings of Henry Robert McAdoo. | [
-0.012959864921867847,
-0.04739774763584137,
0.013456635177135468,
-0.00514303520321846,
0.0034043388441205025,
0.050056930631399155,
-0.004200632683932781,
-0.045322999358177185,
0.027629204094409943,
0.015882043167948723,
-0.023947257548570633,
-0.026957102119922638,
0.005095549859106541,
-0.005921065807342529,
-0.023655040189623833,
-0.057070158421993256,
-0.018658114597201347,
0.010300681926310062,
-0.053095996379852295,
0.02466319315135479,
0.013726936653256416,
0.006209630984812975,
-0.019680876284837723,
-0.05423564463853836,
0.015326829627156258,
-0.0001289868087042123,
0.03868965432047844,
0.0058881910517811775,
0.02968933992087841,
0.06072288379073143,
0.030887434259057045,
-0.019140273332595825,
0.03980008140206337,
-0.019374048337340355,
-0.021419573575258255,
-0.050115372985601425,
0.007166644558310509,
-0.08193790167570114,
0.011637578718364239,
-0.0642879456281662,
0.02705937996506691,
-0.018891887739300728,
-0.017620740458369255,
-0.0021898080594837666,
-0.024356363341212273,
0.045556772500276566,
0.038777317851781845,
-0.022369282320141792,
-0.020002316683530807,
-0.0065785557962954044,
0.027848368510603905,
-0.019680876284837723,
-0.034803155809640884,
-0.0045147668570280075,
0.030361441895365715,
-0.02986467070877552,
-0.0007360238814726472,
-0.026022005826234818,
-0.00746616767719388,
0.00609274348244071,
0.01677330769598484,
0.0034956568852066994,
0.01817595399916172,
-0.041407279670238495,
-0.023041382431983948,
-0.016700254753232002,
-0.01084128487855196,
0.00844509806483984,
0.01203937828540802,
-0.03734545037150383,
0.006352087017148733,
-0.040647514164447784,
-0.004934830125421286,
-0.03588436171412468,
0.013544300571084023,
-0.008649650029838085,
-0.0003839926212094724,
-0.054966188967227936,
0.03062443807721138,
-0.015443717129528522,
0.025700565427541733,
0.048712726682424545,
0.004945788066834211,
-0.012105126865208149,
-0.032406967133283615,
0.0292217917740345,
-0.02378653921186924,
0.021419573575258255,
-0.017167802900075912,
0.03395572304725647,
0.04576132446527481,
0.029850060120224953,
-0.018161343410611153,
0.020426033064723015,
0.03062443807721138,
0.013493162579834461,
-0.039595529437065125,
-0.003839012933894992,
-0.008898035623133183,
0.005190521012991667,
0.037550002336502075,
0.033751171082258224,
-0.03559214249253273,
0.037959106266498566,
-0.053446657955646515,
0.009022228419780731,
-0.03091665543615818,
0.015239164233207703,
0.028827298432588577,
-0.0601968914270401,
0.011447637341916561,
0.030595216900110245,
0.024473249912261963,
-0.03746233880519867,
0.01098739355802536,
0.01496155746281147,
-0.026986325159668922,
0.004160452634096146,
-0.054264865815639496,
0.03956630453467369,
-0.023216713219881058,
0.013690409250557423,
0.0030737672932446003,
0.005577709525823593,
-0.0210396908223629,
0.01694863848388195,
-0.009928103536367416,
0.04167027398943901,
-0.022953717038035393,
0.010329903103411198,
0.0017222593305632472,
-0.03372194617986679,
-0.013179028406739235,
0.020440643653273582,
0.014647423289716244,
0.014859281480312347,
0.06089821457862854,
0.02407875657081604,
-0.005164951551705599,
-0.011031226254999638,
-0.0039924271404743195,
0.029601674526929855,
-0.028447413817048073,
0.05289144441485405,
-0.039420198649168015,
0.04318980872631073,
-0.038485098630189896,
0.02741004154086113,
-0.047777630388736725,
-0.010950866155326366,
0.07124272733926773,
-0.00967241358011961,
0.022807609289884567,
0.038835760205984116,
-0.016729475930333138,
-0.027263931930065155,
0.005183215253055096,
-0.043394360691308975,
-0.01800062321126461,
0.047952961176633835,
-0.05628117173910141,
0.034686267375946045,
-0.0017460021190345287,
0.008298988454043865,
-0.05587206780910492,
0.012587286531925201,
-0.019476324319839478,
0.005197826307266951,
0.0014483050908893347,
-0.008145574480295181,
0.007597665768116713,
0.03062443807721138,
-0.03085821308195591,
0.002622655825689435,
0.022939106449484825,
0.028841909021139145,
-0.029440956190228462,
-0.0023377432953566313,
0.012156265787780285,
0.021551070734858513,
0.0035632322542369366,
0.00186654191929847,
0.029835449531674385,
0.011739854700863361,
-0.006016036495566368,
-0.013982627540826797,
-0.024560915306210518,
-0.0011560871498659253,
0.009248697198927402,
-0.054907746613025665,
-0.008664261549711227,
0.03167642280459404,
-0.018804222345352173,
0.01805906742811203,
0.025057686492800713,
-0.005351240746676922,
-0.06586591899394989,
-0.0561058409512043,
-0.012017461471259594,
-0.01493233535438776,
-0.02232544869184494,
0.028827298432588577,
-0.029265625402331352,
0.04330669716000557,
-0.048303622752428055,
-0.009716246277093887,
0.06609969586133957,
0.025729788467288017,
-0.023333601653575897,
0.008277072571218014,
0.0178252924233675,
0.0014364337548613548,
-0.01618887297809124,
0.032757628709077835,
0.018015233799815178,
0.017313912510871887,
-0.017839904874563217,
-0.019184106960892677,
-0.043686579912900925,
-0.03711167722940445,
0.010088823735713959,
0.018921110779047012,
0.0010044991504400969,
0.027687648311257362,
-0.017869126051664352,
-0.006235199980437756,
-0.0023870551958680153,
0.09771767258644104,
-0.02191634476184845,
-0.0009615796152502298,
-0.04482622817158699,
0.002640919527038932,
0.03810521587729454,
0.04605354368686676,
0.07007385790348053,
-0.01028607040643692,
-0.005614236928522587,
0.048478953540325165,
-0.007082631811499596,
0.028973406180739403,
0.02355276420712471,
0.006582208443433046,
0.040004633367061615,
0.005544835235923529,
-0.038017552345991135,
0.042342375963926315,
0.0050371065735816956,
0.009409417398273945,
0.011476858519017696,
0.043861910700798035,
0.031997863203287125,
0.01840972900390625,
0.03255307674407959,
0.0021715443581342697,
-0.028359748423099518,
0.011381887830793858,
0.029557842761278152,
0.02641649916768074,
-0.03500770777463913,
-0.04856661707162857,
0.009650496765971184,
-0.016729475930333138,
-0.008781148120760918,
-0.013989932835102081,
-0.001204485772177577,
0.006947481073439121,
0.023771928623318672,
0.031764086335897446,
0.031822532415390015,
-0.028330527245998383,
-0.01700708270072937,
-0.023947257548570633,
-0.044504787772893906,
0.01288681011646986,
-0.042576149106025696,
0.013836518861353397,
0.026723328977823257,
-0.04599510133266449,
0.02413720078766346,
0.0035431422293186188,
0.01171793881803751,
0.02215011790394783,
0.02863735519349575,
0.026737939566373825,
0.0022263352293521166,
-0.0007552006863988936,
-0.06130731850862503,
0.028798075392842293,
-0.000011229272786295041,
0.03459860011935234,
-0.022369282320141792,
-0.0175330750644207,
-0.017489243298768997,
-0.014764310792088509,
0.020484475418925285,
0.02390342578291893,
-0.033225178718566895,
0.013770769350230694,
-0.028447413817048073,
-0.08713938295841217,
0.008978395722806454,
0.012046683579683304,
0.008759232237935066,
0.013697714544832706,
0.01981237530708313,
0.06265152245759964,
-0.047193195670843124,
-0.005932023748755455,
0.030712103471159935,
-0.03255307674407959,
-0.02139035239815712,
0.039887744933366776,
-0.008861508220434189,
-0.03413105383515358,
-0.03004000149667263,
0.048478953540325165,
0.019315604120492935,
0.01811751164495945,
-0.0008282551425509155,
-0.005778609309345484,
-0.042868368327617645,
-0.03132576122879982,
0.04167027398943901,
-0.07241159677505493,
-0.027921421453356743,
0.07995082437992096,
0.023406654596328735,
-0.018716556951403618,
0.025612900033593178,
0.013310526497662067,
-0.045673660933971405,
-0.047543857246637344,
0.008985701017081738,
-0.019271772354841232,
-0.006731970235705376,
-0.007279878947883844,
-0.020542919635772705,
0.03185175359249115,
-0.019885430112481117,
-0.05937867984175682,
-0.011323444545269012,
-0.027658425271511078,
-0.05896957591176033,
-0.022544613108038902,
-0.029426343739032745,
-0.03226085752248764,
-0.028622744604945183,
-0.04412490501999855,
0.01747463084757328,
-0.005227047950029373,
0.02232544869184494,
0.007345627993345261,
-0.04447556659579277,
0.01975393109023571,
-0.005248964298516512,
0.031880974769592285,
-0.002765112090855837,
-0.022164728492498398,
-0.029557842761278152,
0.006604124791920185,
0.032582297921180725,
0.024853134527802467,
-0.044504787772893906,
-0.028155196458101273,
0.027249321341514587,
-0.016612589359283447,
-0.007455209735780954,
0.0036490713246166706,
0.029543232172727585,
-0.038543544709682465,
0.030186111107468605,
0.03868965432047844,
-0.017547685652971268,
0.008313599973917007,
-0.035446032881736755,
0.010388347320258617,
0.07474934309720993,
0.02080591581761837,
0.024341752752661705,
-0.012433872558176517,
0.0033203260973095894,
-0.023567374795675278,
-0.006483585108071566,
0.002430887892842293,
0.04114428162574768,
-0.025685954838991165,
-0.025759009644389153,
0.0426638163626194,
-0.045673660933971405,
-0.0625346377491951,
0.01393879484385252,
0.026109671220183372,
-0.0049530938267707825,
-0.02419564314186573,
-0.03576747328042984,
0.021638736128807068,
0.06270996481180191,
0.02776070311665535,
-0.0192863829433918,
0.01887727715075016,
0.03231930360198021,
0.040004633367061615,
-0.025145351886749268,
0.00856198463588953,
-0.049647822976112366,
0.029207181185483932,
-0.02080591581761837,
0.07328825443983078,
-0.030536772683262825,
-0.04102739691734314,
0.008839592337608337,
0.04067673534154892,
-0.003933983854949474,
0.011593746021389961,
0.02285144105553627,
-0.0015514944680035114,
-0.08947712928056717,
-0.010183794423937798,
0.038134437054395676,
0.06177486851811409,
-0.017693795263767242,
0.016875585541129112,
0.0637035071849823,
0.043043699115514755,
-0.0031194263137876987,
-0.00873731542378664,
0.021419573575258255,
0.028038309887051582,
0.00844509806483984,
-0.022661499679088593,
0.006191367283463478,
-0.05055370181798935,
0.02822825126349926,
-0.020192258059978485,
-0.03261151909828186,
0.013164416886866093,
0.007853356190025806,
-0.01946171373128891,
-0.015209943056106567,
-0.029762394726276398,
0.022895274683833122,
0.033225178718566895,
0.01306214090436697,
0.0013779901200905442,
-0.02945556677877903,
0.02361120842397213,
0.057362377643585205,
0.013434719294309616,
-0.019724709913134575,
0.009168337099254131,
-0.0011889616725966334,
-0.06539837270975113,
0.05745004117488861,
-0.03734545037150383,
-0.017518464475870132,
0.013434719294309616,
0.03337128460407257,
-0.026854826137423515,
0.04394957423210144,
0.004708361346274614,
0.030069224536418915,
-0.0014601764269173145,
0.019973095506429672,
-0.035095371305942535,
-0.0014336941530928016,
0.0531836599111557,
-0.009811216965317726,
0.003667334793135524,
0.009277919307351112,
0.034160275012254715,
0.041348837316036224,
0.037024009972810745,
-0.029893893748521805,
-0.030478328466415405,
0.004478239454329014,
-0.036907121539115906,
-0.013631965965032578,
0.011769076809287071,
-0.03407260775566101,
-0.026489553973078728,
0.037491559982299805,
-0.0025276849046349525,
-0.041290391236543655,
0.016919417306780815,
-0.025685954838991165,
-0.015326829627156258,
-0.06095665693283081,
-0.002408971544355154,
0.0017496547661721706,
-0.02881268598139286,
-0.03302062302827835,
0.047251638025045395,
0.006991313770413399,
-0.014413649216294289,
-0.050933584570884705,
-0.05213167518377304,
0.005270880647003651,
-0.03652723878622055,
-0.0496770478785038,
0.0026518777012825012,
0.08784070611000061,
0.047134749591350555,
0.014399037696421146,
-0.04143650084733963,
0.001020936411805451,
0.011820214800536633,
-0.043628133833408356,
-0.024210253730416298,
0.0016227226005867124,
0.026898659765720367,
0.032640740275382996,
-0.009811216965317726,
0.045381441712379456,
0.05300832912325859,
0.025861285626888275,
0.018161343410611153,
0.0306828822940588,
0.0006095482967793941,
-0.026694107800722122,
0.02209167554974556,
0.03015688993036747,
-0.022077063098549843,
0.003376943292096257,
-0.00042942335130646825,
0.012273152358829975,
0.014508619904518127,
0.07165183126926422,
-0.021814066916704178,
0.013463940471410751,
-0.046316541731357574,
-0.030536772683262825,
-0.019943872466683388,
-0.058940354734659195,
-0.004982315469533205,
0.001176177174784243,
0.03173486515879631,
0.052102454006671906,
-0.006889037322252989,
-0.0006903648609295487,
-0.037199340760707855,
-0.041641052812337875,
0.008525458164513111,
-0.005650763865560293,
-0.016495700925588608,
-0.018395118415355682,
0.012967170216143131,
-0.013566216453909874,
0.018658114597201347,
0.03576747328042984,
-0.04844973236322403,
-0.023538153618574142,
-0.010125351138412952,
0.033400509506464005,
-0.057479266077280045,
-0.007126464508473873,
-0.01607198640704155,
-0.04307292029261589,
-0.02460474893450737,
-0.031004320830106735,
0.052102454006671906,
0.009212169796228409,
0.043335918337106705,
0.024633970111608505,
-0.026036616414785385,
-0.024297919124364853,
-0.008138269186019897,
0.014106820337474346,
-0.0385727658867836,
0.04611198604106903,
-0.01428945641964674,
0.011279611848294735,
0.022193951532244682,
0.02361120842397213,
0.057070158421993256,
-0.03717011958360672,
-0.044329456984996796,
-0.006984008476138115,
-0.03582591563463211,
0.013098668307065964,
-0.01481544878333807,
0.008759232237935066,
-0.029207181185483932,
-0.00967241358011961,
-0.03296218067407608,
-0.005102855619043112,
-0.005007884465157986,
-0.010227627120912075,
0.036205798387527466,
-0.030887434259057045,
-0.03062443807721138,
0.009548220783472061,
0.045030780136585236,
-0.0007848790846765041,
-0.007575749419629574,
0.025978172197937965,
-0.03243618831038475,
0.01630575954914093,
0.039361752569675446,
0.02641649916768074,
-0.038894206285476685,
-0.010950866155326366,
0.01689019612967968,
0.0420793816447258,
0.03413105383515358,
-0.0005785001558251679,
0.008087131194770336,
-0.06276840716600418,
-0.04061828926205635,
-0.016934027895331383,
0.023129047825932503,
0.011104281060397625,
0.02770225889980793,
-0.01922793872654438,
0.034627825021743774,
-0.003481046063825488,
0.039127979427576065,
-0.05698249489068985,
-0.011089670471847057,
0.005164951551705599,
-0.0021386698354035616,
-0.04809907078742981,
0.013916878029704094,
0.02963089756667614,
-0.03944941982626915,
-0.003062809119001031,
-0.03652723878622055,
0.017620740458369255,
-0.0035595796070992947,
0.01595509797334671,
0.008130963891744614,
0.024224866181612015,
-0.022690720856189728,
-0.036264244467020035,
0.050845917314291,
-0.018921110779047012,
-0.01864350400865078,
-0.013376275077462196,
0.01013996172696352,
-0.016627199947834015,
0.046141210943460464,
0.036614906042814255,
-0.020440643653273582,
-0.018322063609957695,
-0.014019154943525791,
-0.05160568282008171,
0.013894962146878242,
0.008569290861487389,
0.05090435966849327,
-0.010183794423937798,
0.04605354368686676,
0.005460822489112616,
0.005164951551705599,
0.033751171082258224,
-0.03348817303776741,
-0.042751479893922806,
0.03348817303776741,
0.011586440727114677,
0.003464608686044812,
0.011213862337172031,
0.047602299600839615,
0.054440196603536606,
0.01446478720754385,
-0.05072903260588646,
-0.005018842872232199,
0.07171028107404709,
-0.015604437328875065,
0.015940487384796143,
0.03985852375626564,
-0.03570903092622757,
-0.040705956518650055,
-0.006030647084116936,
-0.07720397412776947,
0.004061829298734665,
0.017270078882575035,
0.009745467454195023,
-0.043628133833408356,
0.0039887744933366776,
-0.03378039225935936,
0.045439887791872025,
-0.0038061384111642838,
0.04219626635313034,
-0.004372310824692249,
0.0055411821231245995,
-0.025612900033593178,
-0.03442326933145523,
-0.011177335865795612,
-0.012141654267907143,
-0.011739854700863361,
0.005577709525823593,
0.007385808043181896,
0.031471870839595795,
-0.042868368327617645,
-0.02589050680398941,
-0.02349431999027729,
0.024911576882004738,
-0.03255307674407959,
-0.028827298432588577,
0.012192792259156704,
0.0403260737657547,
0.0031577798072248697,
0.012755312025547028,
0.026022005826234818,
0.017723016440868378,
0.03734545037150383,
0.00025386433117091656,
-0.02553984522819519,
-0.015852821990847588,
-0.007824135012924671,
0.010037685744464397,
-0.047368526458740234,
-0.05446942150592804,
-0.02168256975710392,
0.007239698898047209,
-0.03079976886510849,
0.000941489590331912,
-0.011250389739871025,
0.017912957817316055,
0.01829284243285656,
-0.007159338798373938,
0.037257783114910126,
0.040179964154958725,
0.0397416353225708,
0.06095665693283081,
0.03196864202618599,
0.04745618999004364,
0.018921110779047012,
-0.01864350400865078,
-0.031647201627492905,
0.048537395894527435,
-0.021010467782616615,
-0.003937636502087116,
-0.022047841921448708,
0.018950331956148148,
-0.05002770945429802,
0.01998770609498024,
-0.015005390159785748,
0.014450175687670708,
-0.04219626635313034,
0.028768854215741158,
0.007141075562685728,
-0.024882355704903603,
-0.0034755668602883816,
-0.0420793816447258,
0.04763152077794075,
0.019505545496940613,
0.004923871718347073,
-0.031471870839595795,
-0.043335918337106705,
-0.052745334804058075,
0.006783108226954937,
0.025233017280697823,
-0.04646264761686325,
-0.04611198604106903,
-0.012864894233644009,
0.018672725185751915,
-0.0021277116611599922,
-0.006395919714123011,
0.03161798045039177,
0.032173193991184235,
-0.036088913679122925,
0.04079362004995346,
-0.0020345672965049744,
-0.018380507826805115,
-0.02407875657081604,
0.03091665543615818,
-0.023538153618574142,
-0.040881287306547165,
0.01531221903860569,
0.04102739691734314,
0.056485723704099655,
0.036731790751218796,
-0.03144264966249466,
-0.0014866587007418275,
0.033049847930669785,
-0.019943872466683388,
0.03360506147146225,
0.049706269055604935,
0.012748006731271744,
-0.001505835447460413,
0.01648109033703804,
-0.012141654267907143,
-0.017211634665727615,
-0.010088823735713959,
0.047426968812942505,
-0.055083077400922775,
-0.03570903092622757,
0.031238095834851265,
0.06814521551132202,
-0.022880662232637405,
0.007758385967463255,
0.005913760047405958,
0.027380818501114845,
0.016115818172693253,
0.001788921537809074,
-0.018161343410611153,
0.009979241527616978,
-0.004189674276858568,
-0.02910490520298481,
0.0001990734599530697,
0.0502614825963974,
-0.0064032250083982944,
0.0010191099718213081,
-0.00004006581730209291,
0.008751926943659782,
-0.015633659437298775,
-0.009986547753214836,
0.005661722272634506,
-0.011937102302908897,
0.011206557042896748,
0.031179651618003845,
-0.04541066288948059,
0.053388215601444244,
-0.048011403530836105,
0.008255155757069588,
-0.04710552841424942,
0.01189326960593462,
0.07024918496608734,
-0.041231948882341385,
-0.027030156925320625,
-0.04996926337480545,
-0.02518918551504612,
0.026927880942821503,
0.020440643653273582,
0.005000579170882702,
0.03687790036201477,
0.051927123218774796,
0.027161655947566032,
0.007422334980219603,
0.011469553224742413,
-0.0008565637981519103,
-0.03074132464826107,
0.006458016112446785,
-0.046199653297662735,
0.03798833116889,
0.024707024917006493,
-0.006341129075735807,
-0.040355294942855835,
-0.009840438142418861,
0.012448483146727085,
-0.017796071246266365,
-0.03518303856253624,
0.014552452601492405,
-0.01630575954914093,
-0.016568755730986595,
-0.014837364666163921,
0.01241926196962595,
-0.028140585869550705,
0.05242389440536499,
0.015560604631900787,
0.0028783464804291725,
-0.04576132446527481,
0.04728085920214653,
-0.028096752241253853,
0.04663797840476036,
-0.010644037276506424,
-0.004416143521666527,
0.001072074519470334,
-0.004229854326695204,
0.0017670051893219352,
-0.037900663912296295,
-0.034277163445949554,
0.0027048420161008835,
0.026840215548872948,
0.003959552850574255,
-0.002005345420911908,
0.002830861136317253,
0.047426968812942505,
0.007816829718649387,
-0.02606583759188652,
0.05219012126326561,
-0.03500770777463913,
0.013368969783186913,
0.005471780430525541,
-0.0248385239392519,
0.013347053900361061,
-0.03284529596567154,
0.050173815339803696,
-0.016451869159936905,
0.049530938267707825,
0.017737627029418945,
-0.038251325488090515,
-0.021551070734858513,
-0.037666890770196915,
0.007590360473841429,
-0.028184417635202408,
0.031004320830106735,
0.016334982588887215,
0.0027833757922053337,
-0.06411261111497879,
-0.05248233675956726,
-0.004375963471829891,
-0.06989852339029312,
0.006976702716201544,
-0.006808677688241005,
0.034978486597537994,
0.018205177038908005,
-0.010848590172827244,
0.009277919307351112,
-0.022822219878435135,
0.009774689562618732,
0.035562921315431595,
0.007316406350582838,
-0.018190564587712288,
-0.015093055553734303,
0.018278229981660843,
-0.0033915541134774685,
-0.021770235151052475,
-0.007904495112597942,
0.038368213921785355,
0.009950020350515842,
-0.01876039057970047,
-0.053680431097745895,
-0.022164728492498398,
-0.0010802930919453502,
-0.016203483566641808,
0.038075994700193405,
0.026051227003335953,
0.012455788441002369,
-0.024093367159366608,
-0.02273455448448658,
0.04880039393901825,
-0.034394048154354095,
-0.014136041514575481,
-0.03927408903837204,
-0.0002568321651779115,
0.0023121742997318506,
0.008810370229184628,
0.012528843246400356,
-0.028622744604945183,
0.2510736286640167,
0.01805906742811203,
0.038309767842292786,
-0.010505233891308308,
0.004014343488961458,
0.06574903428554535,
0.03734545037150383,
-0.03454015776515007,
0.0035888012498617172,
-0.009701634757220745,
-0.030595216900110245,
-0.004186021629720926,
0.0035467951092869043,
-0.02267611026763916,
-0.0014665686758235097,
0.007955633103847504,
-0.00809443648904562,
0.01320824958384037,
0.014705866575241089,
-0.03378039225935936,
-0.047602299600839615,
-0.05429409071803093,
-0.033634282648563385,
0.04453401267528534,
-0.006001425441354513,
0.03027377650141716,
0.021141966804862022,
0.000576673774048686,
0.010001158341765404,
-0.0450015589594841,
-0.02139035239815712,
0.008174796588718891,
-0.00027167133521288633,
-0.03459860011935234,
-0.06481393426656723,
0.016437258571386337,
0.005785914603620768,
-0.05709937959909439,
0.011286917142570019,
-0.006023341789841652,
0.031647201627492905,
-0.043102141469717026,
0.017898347228765488,
-0.014720478095114231,
0.010534455999732018,
0.09187331050634384,
-0.02489696629345417,
-0.001145128975622356,
0.021930955350399017,
-0.019417880102992058,
0.018044456839561462,
-0.005884538404643536,
-0.016846362501382828,
-0.04178716242313385,
-0.006341129075735807,
-0.009336362592875957,
0.03074132464826107,
-0.03383883461356163,
0.027161655947566032,
-0.06387883424758911,
0.023830370977520943,
0.0023706178180873394,
0.058881912380456924,
0.032465409487485886,
-0.05166412889957428,
-0.015195331536233425,
0.02548140287399292,
0.04605354368686676,
-0.02220856212079525,
0.011023920960724354,
-0.034277163445949554,
-0.044095683842897415,
-0.008868813514709473,
-0.022719943895936012,
0.0027030156925320625,
-0.043745022267103195,
0.013405497185885906,
0.0042554233223199844,
0.0072725736536085606,
-0.023465098813176155,
-0.03734545037150383,
0.019242549315094948,
0.037257783114910126,
0.019359437748789787,
0.07393113523721695,
0.04657953605055809,
-0.030478328466415405,
-0.04102739691734314,
-0.02986467070877552,
0.006980355363339186,
0.025642123073339462,
0.004134883638471365,
-0.040238406509160995,
-0.047368526458740234,
0.01992926187813282
] |
1214_10 | The Tractarian formulation of the theory of the via media between Protestantism and Roman Catholicism was essentially a party platform, and not acceptable to Anglicans outside the confines of the Oxford Movement. However, this theory of the via media was reworked in the ecclesiological writings of Frederick Denison Maurice, in a more dynamic form that became widely influential. Both Maurice and Newman saw the Church of England of their day as sorely deficient in faith; but whereas Newman had looked back to a distant past when the light of faith might have appeared to burn brighter, Maurice looked forward to the possibility of a brighter revelation of faith in the future. Maurice saw the Protestant and Catholic strands within the Church of England as contrary but complementary, both maintaining elements of the true church, but incomplete without the other; such that a true catholic and evangelical church might come into being by a union of opposites.
Central to Maurice's perspective was his belief that the collective elements of family, nation, and church represented a divine order of structures through which God unfolds his continuing work of creation. Hence, for Maurice, the Protestant tradition had maintained the elements of national distinction which were amongst the marks of the true universal church, but which had been lost within contemporary Roman Catholicism in the internationalism of centralised papal authority. Within the coming universal church that Maurice foresaw, national churches would each maintain the six signs of Catholicity: baptism, Eucharist, the creeds, Scripture, an episcopal ministry, and a fixed liturgy (which could take a variety of forms in accordance with divinely ordained distinctions in national characteristics). Not surprisingly, this vision of a becoming universal church as a congregation of autonomous national churches proved highly congenial in Anglican circles; and Maurice's six signs were adapted to form the Chicago-Lambeth Quadrilateral of 1888. | [
0.005589212756603956,
-0.049038950353860855,
0.05368566885590553,
0.0004689641937147826,
-0.00979756098240614,
0.018484586849808693,
0.007481508422642946,
-0.010740055702626705,
-0.017432499676942825,
0.02976529859006405,
-0.02327742800116539,
-0.029867583885788918,
-0.004142593126744032,
0.028640149161219597,
-0.0030704140663146973,
-0.0558190681040287,
-0.026652874425053596,
-0.045444317162036896,
-0.012047858908772469,
0.06639838963747025,
0.01642424985766411,
0.006798382382839918,
-0.035420265048742294,
-0.03866420313715935,
0.017564009875059128,
0.029458438977599144,
0.03889799863100052,
-0.0069737304002046585,
0.050266385078430176,
0.0617808923125267,
0.040622252970933914,
-0.0029608216136693954,
0.005227557849138975,
-0.01678955741226673,
-0.013962073251605034,
-0.029487663879990578,
-0.0034320689737796783,
-0.08340712636709213,
0.02351122535765171,
-0.03781668841838837,
0.00790526531636715,
-0.013282599858939648,
-0.018557647243142128,
0.005044904071837664,
-0.024446412920951843,
0.05096777528524399,
0.03618010878562927,
-0.027178917080163956,
-0.00930074229836464,
0.01651192270219326,
-0.001157113234512508,
-0.04722702130675316,
-0.018060829490423203,
0.007868735119700432,
0.0336960107088089,
-0.04471370205283165,
-0.016921067610383034,
0.008431308902800083,
-0.01423970703035593,
0.025381602346897125,
0.01161679532378912,
0.002699626376852393,
0.023715797811746597,
-0.04225883260369301,
-0.023496612906455994,
-0.0002312856522621587,
-0.004314288031309843,
0.028508638963103294,
-0.008957352489233017,
-0.02427106536924839,
-0.008825842291116714,
-0.02932692877948284,
-0.004292369354516268,
-0.011302630417048931,
-0.0077664488926529884,
0.0016502790385857224,
-0.011185731738805771,
-0.06873635947704315,
0.024767884984612465,
-0.011397610418498516,
0.03463120013475418,
0.011229569092392921,
-0.00949070230126381,
-0.004690554924309254,
-0.07925722748041153,
0.032439351081848145,
-0.02299979329109192,
-0.002968127839267254,
0.018469974398612976,
-0.010484340600669384,
0.02408110536634922,
0.011974797584116459,
-0.016950292512774467,
0.013070721179246902,
0.031299591064453125,
-0.00934457965195179,
0.010316298343241215,
0.00946147833019495,
0.0024439108092337847,
-0.007320772856473923,
0.03354988992214203,
0.04900972545146942,
-0.0478699654340744,
0.030072156339883804,
-0.05394868925213814,
0.034572750329971313,
0.010725443251430988,
0.017374049872159958,
0.030218280851840973,
-0.07726995646953583,
0.0011525468435138464,
-0.007897960022091866,
0.035654064267873764,
-0.037349093705415726,
0.011112670414149761,
0.01551828533411026,
-0.06435266137123108,
0.013136476278305054,
-0.03410515934228897,
0.02947305142879486,
-0.022824445739388466,
0.0238473080098629,
-0.0358586348593235,
0.0068824030458927155,
-0.020705658942461014,
-0.023160528391599655,
-0.025016292929649353,
0.01722792722284794,
-0.040008533746004105,
0.00775914266705513,
0.017184089869260788,
-0.01532832533121109,
-0.013443335890769958,
0.0005685106152668595,
0.018937569111585617,
0.02716430462896824,
0.03211788088083267,
0.05251668393611908,
-0.006078725680708885,
-0.02327742800116539,
0.015547509305179119,
0.03203020617365837,
-0.017388662323355675,
0.03495267033576965,
-0.049886465072631836,
0.040242332965135574,
-0.0397455133497715,
-0.002036592224612832,
-0.03203020617365837,
-0.017198702320456505,
0.05649123340845108,
-0.009015802294015884,
0.03241012990474701,
0.02606838010251522,
-0.010199400596320629,
-0.024519475176930428,
-0.0168918427079916,
-0.0692039504647255,
-0.015971267595887184,
0.039102572947740555,
-0.04830833524465561,
0.024680210277438164,
-0.010089808143675327,
0.06674908101558685,
-0.034748099744319916,
0.02545466274023056,
-0.029443826526403427,
-0.03647235408425331,
-0.0209979061037302,
-0.005114312283694744,
-0.023978818207979202,
0.015883592888712883,
-0.04851290583610535,
0.021450886502861977,
0.035507939755916595,
0.04409998655319214,
-0.005198333412408829,
-0.013801337219774723,
-0.014349299483001232,
0.010798505507409573,
-0.0034357220865786076,
0.0418204627931118,
0.02238607592880726,
0.022970568388700485,
-0.012756556272506714,
-0.01849919930100441,
0.0011406743433326483,
0.002403726801276207,
0.006780116818845272,
-0.025001682341098785,
0.0010137297213077545,
0.012457003816962242,
-0.038401179015636444,
0.03279004991054535,
0.005676886532455683,
0.013289906084537506,
-0.035361818969249725,
-0.06832721084356308,
-0.012683494947850704,
-0.05862463265657425,
-0.06446956098079681,
0.06487870216369629,
-0.03103657066822052,
0.029794523492455482,
-0.0854528546333313,
0.03629700466990471,
0.039482492953538895,
0.03828428313136101,
-0.0024110330268740654,
-0.0031051181722432375,
0.01585436798632145,
-0.005461355205625296,
-0.027792634442448616,
0.012383942492306232,
0.013647908344864845,
0.023920370265841484,
-0.0032183637376874685,
-0.01532832533121109,
-0.043369367718696594,
-0.020544923841953278,
-0.003528875531628728,
0.05345186963677406,
-0.010308992117643356,
0.013370273634791374,
-0.016263512894511223,
-0.0028055657166987658,
-0.017520172521471977,
0.11134588718414307,
-0.0228536706417799,
-0.013728275895118713,
-0.04313557222485542,
0.0159858800470829,
0.02735426463186741,
0.04798686131834984,
0.07721150666475296,
0.02450486272573471,
-0.0030850262846797705,
0.03913179785013199,
-0.06201469153165817,
0.024943232536315918,
0.006071419455111027,
0.009980215691030025,
0.06616459041833878,
-0.004756310489028692,
-0.015138364396989346,
0.044363006949424744,
0.02213766612112522,
0.008599351160228252,
0.027427326887845993,
0.03702762350440025,
0.015635183081030846,
0.00709793483838439,
0.053393419831991196,
-0.01385978702455759,
-0.016058940440416336,
0.0357709638774395,
0.03316996991634369,
0.03816738352179527,
-0.03132881596684456,
-0.03843040391802788,
0.009242293424904346,
0.021889256313443184,
0.00684952549636364,
-0.0034028443042188883,
0.001947091775946319,
0.013589458540081978,
0.028727823868393898,
0.019653571769595146,
0.014524647034704685,
-0.003923408221453428,
-0.0000937814183998853,
-0.05213676020503044,
-0.039862412959337234,
0.012150145135819912,
-0.010849648155272007,
0.021918481215834618,
0.029399991035461426,
-0.02156778611242771,
0.04129441827535629,
0.007912571541965008,
0.0010109900031238794,
-0.011784836649894714,
0.029020069167017937,
0.022780608385801315,
0.006834913045167923,
-0.01168985664844513,
-0.04746082052588463,
0.06382662057876587,
-0.02634601481258869,
0.055526819080114365,
-0.013947460800409317,
-0.036355454474687576,
-0.01665804535150528,
-0.003996470011770725,
0.0033352624159306288,
0.016395024955272675,
-0.0022557771299034357,
0.016526535153388977,
-0.02450486272573471,
-0.06505405157804489,
0.009972909465432167,
-0.016146615147590637,
0.01722792722284794,
0.0036494270898401737,
0.008424002677202225,
0.030101381242275238,
-0.060202762484550476,
-0.01339219231158495,
0.02602454461157322,
-0.02124631404876709,
-0.044742926955223083,
0.02143627591431141,
-0.01173369400203228,
-0.03211788088083267,
-0.035654064267873764,
0.0614301972091198,
0.015313712880015373,
0.044684477150440216,
0.00302109750919044,
0.013078027404844761,
0.006696096155792475,
-0.02970684878528118,
0.043690841645002365,
-0.04243418201804161,
-0.01778319478034973,
0.03921946883201599,
0.06306678056716919,
-0.042463406920433044,
0.017987767234444618,
0.004065878223627806,
-0.043836962431669235,
-0.025045517832040787,
0.026755159720778465,
-0.02171390876173973,
-0.04296022281050682,
0.006378278136253357,
0.013326437212526798,
0.028347903862595558,
0.010659688152372837,
-0.05251668393611908,
-0.0052896603010594845,
-0.06914550065994263,
-0.04038845747709274,
-0.011412222869694233,
-0.009205762296915054,
-0.004186430014669895,
-0.0030302300583571196,
-0.014838811941444874,
-0.00806600134819746,
0.007127159740775824,
0.03653080388903618,
0.025673847645521164,
-0.0257907472550869,
0.019522061571478844,
-0.00739383464679122,
0.04541509225964546,
0.009687968529760838,
0.004106062464416027,
-0.026623649522662163,
-0.01608816534280777,
0.0017333865398541093,
0.03471887484192848,
-0.020881006494164467,
-0.022298401221632957,
-0.007123506627976894,
0.006948158610612154,
-0.008906209841370583,
0.007613019086420536,
0.03194253519177437,
-0.01849919930100441,
0.006769157946109772,
0.010579320602118969,
-0.022444525733590126,
0.0054248240776360035,
-0.0037517135497182608,
0.014729219488799572,
0.020691046491265297,
0.00873086228966713,
0.01816311478614807,
-0.021801583468914032,
-0.022970568388700485,
-0.05313039943575859,
0.022970568388700485,
0.018908344209194183,
0.03118269331753254,
-0.0033827524166554213,
-0.044830601662397385,
0.014963016845285892,
-0.020428024232387543,
-0.039950087666511536,
0.00867971871048212,
-0.019755858927965164,
0.01792931742966175,
-0.007532651536166668,
-0.024577924981713295,
-0.012493534944951534,
0.06312523037195206,
0.043836962431669235,
-0.009994827210903168,
0.02852325141429901,
0.03156261518597603,
0.01746172457933426,
-0.05844928324222565,
0.014758444391191006,
-0.05929679796099663,
0.02238607592880726,
-0.04035923257470131,
0.037261418998241425,
-0.02465098537504673,
-0.023116692900657654,
0.009812173433601856,
0.003989163786172867,
0.01864532195031643,
0.013954767026007175,
0.02852325141429901,
0.03977473825216293,
-0.06417731195688248,
-0.022678323090076447,
0.0435447171330452,
0.035274144262075424,
-0.02771957404911518,
0.03159184008836746,
0.07528267800807953,
0.044304557144641876,
0.002116960007697344,
-0.02720814198255539,
0.010988465510308743,
0.00012043749302392825,
0.007627631537616253,
-0.0016283605946227908,
0.006166399456560612,
-0.06499560177326202,
0.010228624567389488,
-0.011938266456127167,
-0.018367687240242958,
0.05067552998661995,
0.03439740464091301,
-0.008767392486333847,
-0.02057414874434471,
-0.04670097678899765,
0.03147494047880173,
0.059822842478752136,
-0.02067643404006958,
-0.013450641185045242,
0.006100643891841173,
0.033666789531707764,
0.013450641185045242,
0.013260681182146072,
-0.0016822434263303876,
-0.01778319478034973,
0.019098304212093353,
-0.05111389979720116,
0.0699053406715393,
-0.041089847683906555,
-0.02989680878818035,
0.004683248698711395,
0.019945818930864334,
-0.012077083811163902,
0.034572750329971313,
0.004979148507118225,
0.0003728425072040409,
-0.016102777794003487,
-0.005077781621366739,
-0.035741738975048065,
-0.022035380825400352,
0.05786479264497757,
-0.009381109848618507,
0.013545622117817402,
0.01944899931550026,
0.015547509305179119,
0.023774245753884315,
0.006831259932368994,
-0.026945119723677635,
-0.05050018057227135,
0.028552476316690445,
-0.04144054278731346,
-0.037115294486284256,
-0.03723219409584999,
-0.043310921639204025,
-0.039161019027233124,
0.04296022281050682,
0.020413411781191826,
-0.01636580005288124,
0.027193529531359673,
-0.00241285958327353,
-0.028362514451146126,
-0.04433378204703331,
-0.011865205131471157,
-0.0289470087736845,
-0.051318470388650894,
-0.004186430014669895,
0.042989447712898254,
-0.0036695192102342844,
-0.03656002879142761,
-0.01473652571439743,
-0.02323359064757824,
0.00238363491371274,
-0.015065303072333336,
-0.014590403065085411,
0.006283298134803772,
0.059501372277736664,
0.03392980992794037,
0.004657677374780178,
-0.024154167622327805,
-0.03907334804534912,
0.0359463095664978,
-0.03819660842418671,
-0.051406145095825195,
0.024110330268740654,
0.024344127625226974,
0.03132881596684456,
-0.013333743438124657,
0.05824471265077591,
0.04485982656478882,
0.023525837808847427,
0.004438492469489574,
-0.0017717439914122224,
0.00482571916654706,
-0.01735943742096424,
-0.00476726982742548,
0.037875138223171234,
-0.051639944314956665,
0.0018155808793380857,
0.01860148459672928,
0.013487172313034534,
0.024680210277438164,
0.03223478049039841,
0.008789311163127422,
0.010133644565939903,
-0.08323178440332413,
-0.019478224217891693,
-0.02640446461737156,
-0.014780363067984581,
0.005738988984376192,
0.008628576062619686,
0.014393135905265808,
0.03203020617365837,
-0.00802216399461031,
-0.021158641204237938,
-0.03308229520916939,
-0.07797134667634964,
-0.0013196752406656742,
0.013399498537182808,
-0.03769978880882263,
-0.022152278572320938,
-0.017490947619080544,
-0.009972909465432167,
0.03892722353339195,
0.0010566534474492073,
-0.04792841151356697,
-0.005742642097175121,
-0.02739810198545456,
0.02915158122777939,
-0.013611377216875553,
0.010433197021484375,
0.006078725680708885,
-0.0219038687646389,
0.009271517395973206,
-0.022444525733590126,
0.040622252970933914,
0.019931206479668617,
0.06265763193368912,
0.029794523492455482,
-0.0045919218100607395,
-0.02006271667778492,
-0.012332798913121223,
0.0178416445851326,
-0.013684438541531563,
0.043369367718696594,
-0.03194253519177437,
0.017637072131037712,
0.019054466858506203,
0.029823746532201767,
0.06154709681868553,
-0.059501372277736664,
-0.03571251407265663,
0.03208865597844124,
-0.03249780088663101,
-0.00599835766479373,
-0.015430611558258533,
0.026477525010704994,
-0.01623428799211979,
-0.0002815155021380633,
-0.04272642731666565,
0.01480958703905344,
0.007240405306220055,
-0.0046649836003780365,
0.04512284696102142,
-0.038108933717012405,
-0.021129416301846504,
0.0008539074915461242,
0.02256142348051071,
0.022985180839896202,
0.012975741177797318,
0.013377579860389233,
-0.03530336916446686,
-0.01978508196771145,
0.028640149161219597,
0.00946147833019495,
-0.030013708397746086,
-0.026462914422154427,
0.016526535153388977,
0.05520534887909889,
0.02995525859296322,
0.0024859211407601833,
0.004215654451400042,
-0.05517612397670746,
-0.031211918219923973,
0.0025553295854479074,
0.01925903931260109,
0.011653326451778412,
0.033988259732723236,
-0.029297703877091408,
0.015620571561157703,
-0.012668882496654987,
0.05903377756476402,
-0.06821031868457794,
-0.010623157024383545,
0.01636580005288124,
0.007105241063982248,
-0.043223246932029724,
0.005256782751530409,
0.011551040224730968,
-0.062248487025499344,
-0.03778746351599693,
-0.05181529000401497,
0.00023025821428745985,
0.032293230295181274,
-0.005143537186086178,
0.01613200269639492,
0.04915584996342659,
0.003448507748544216,
-0.00984139833599329,
0.06429421156644821,
-0.0006429421482607722,
0.023861920461058617,
0.017680909484624863,
-0.013655213639140129,
-0.021275538951158524,
0.051786065101623535,
0.0013699050759896636,
-0.017330212518572807,
-0.01454656571149826,
-0.008760086260735989,
-0.0555560439825058,
-0.004730739165097475,
-0.014451585710048676,
0.04152821749448776,
-0.010966546833515167,
0.036793824285268784,
0.011719081550836563,
-0.002783647272735834,
0.02564462274312973,
-0.030013708397746086,
-0.040476128458976746,
-0.007861428894102573,
0.012332798913121223,
-0.008584738709032536,
-0.008577432483434677,
0.04287255182862282,
0.01301227230578661,
-0.002253950573503971,
-0.0357709638774395,
-0.0006584677030332386,
0.03714451938867569,
-0.010067889466881752,
0.01516758929938078,
0.016497310250997543,
-0.03831350430846214,
-0.0398331880569458,
-0.02473866008222103,
-0.08445921540260315,
-0.0006899755098856986,
-0.004369083791971207,
0.027515001595020294,
-0.04056380316615105,
-0.004204695578664541,
-0.06353437155485153,
0.044684477150440216,
0.01419586967676878,
0.04740237072110176,
-0.008628576062619686,
-0.0356832891702652,
0.01532832533121109,
-0.04456758126616478,
-0.03480654954910278,
-0.05649123340845108,
-0.008219430223107338,
0.004054918885231018,
-0.020091941580176353,
0.035975534468889236,
-0.03498189523816109,
0.0008940913830883801,
-0.01693568006157875,
0.005994704551994801,
-0.007459589745849371,
-0.04883437603712082,
-0.012018634006381035,
0.07943257689476013,
0.010623157024383545,
0.027471164241433144,
0.019332101568579674,
0.011273405514657497,
0.020267289131879807,
-0.0005342629738152027,
-0.03951171785593033,
-0.004606534261256456,
-0.004011081997305155,
0.024198003113269806,
-0.016380412504076958,
-0.03296539559960365,
-0.040008533746004105,
0.0029224641621112823,
-0.060495007783174515,
-0.009739112108945847,
0.015927430242300034,
0.031241143122315407,
-0.005958173889666796,
-0.007284242194145918,
0.0019288264447823167,
0.02932692877948284,
0.06446956098079681,
0.04433378204703331,
0.013750194571912289,
0.0436323918402195,
0.030159831047058105,
0.016380412504076958,
-0.04412921145558357,
0.047957636415958405,
-0.0050412509590387344,
-0.010652381926774979,
-0.033432990312576294,
0.005183720961213112,
-0.04716857150197029,
0.027617286890745163,
0.003274986520409584,
0.002288654912263155,
-0.0316210612654686,
-0.0057462952099740505,
0.005826663225889206,
-0.03226400539278984,
0.005077781621366739,
-0.058361612260341644,
0.023876532912254333,
0.00038928136928007007,
-0.033520665019750595,
-0.05809858813881874,
-0.03533259406685829,
-0.021465498954057693,
0.01185059268027544,
0.022692935541272163,
0.005209292285144329,
-0.010177481919527054,
-0.021041741594672203,
-0.01125879306346178,
0.0024347780272364616,
0.025746909901499748,
0.027222754433751106,
0.039336368441581726,
-0.024241840466856956,
0.036267779767513275,
-0.020165003836154938,
-0.023014405742287636,
-0.029589951038360596,
0.032673150300979614,
-0.03492344915866852,
0.0035160898696631193,
0.025893032550811768,
0.026009932160377502,
0.0318840853869915,
-0.008833148516714573,
-0.022649098187685013,
-0.011229569092392921,
0.04278487712144852,
-0.04617493599653244,
0.05251668393611908,
0.02412494271993637,
0.02441718801856041,
0.013662519864737988,
-0.0021333987824618816,
-0.029414601624011993,
-0.019989654421806335,
0.008847760036587715,
0.040856048464775085,
-0.04591191187500954,
-0.017666297033429146,
0.05435783416032791,
0.041615892201662064,
-0.054679304361343384,
0.04038845747709274,
-0.017067190259695053,
0.03416360542178154,
0.007963715121150017,
-0.007262323517352343,
0.005114312283694744,
-0.005874153226613998,
-0.015415999107062817,
-0.015722857788205147,
0.01906907930970192,
0.06067035719752312,
-0.005709764547646046,
-0.012566596269607544,
0.03889799863100052,
0.01655576005578041,
-0.01230357401072979,
0.01521142665296793,
0.019083691760897636,
0.00001905024328152649,
0.002438431140035391,
0.03004293143749237,
-0.04477215185761452,
0.05558526888489723,
-0.04541509225964546,
-0.008219430223107338,
-0.04699322581291199,
0.00829979870468378,
0.06347592175006866,
-0.055234573781490326,
-0.041235968470573425,
-0.020793333649635315,
0.005428477190434933,
0.035128019750118256,
0.033988259732723236,
-0.01100307796150446,
0.07639321684837341,
0.02257603593170643,
0.014517340809106827,
0.007229445967823267,
0.010228624567389488,
-0.013048802502453327,
-0.01735943742096424,
0.012025940231978893,
-0.013757500797510147,
0.04734392091631889,
-0.004639411810785532,
0.024709435179829597,
-0.03544948995113373,
-0.02735426463186741,
0.002230205573141575,
-0.03530336916446686,
-0.0498572401702404,
0.008811229839920998,
-0.025425439700484276,
0.015182201750576496,
-0.025805359706282616,
0.0007959148497320712,
-0.010601239278912544,
0.05134769529104233,
-0.013918235898017883,
0.01735943742096424,
-0.03416360542178154,
0.019565898925065994,
-0.06482025980949402,
0.04456758126616478,
0.004741698037832975,
0.004029347561299801,
-0.008708943612873554,
0.01125879306346178,
0.005315231624990702,
-0.014363911934196949,
0.004131633788347244,
-0.006922587286680937,
0.04065147787332535,
0.017257152125239372,
0.004420227371156216,
-0.030159831047058105,
0.04202503710985184,
-0.00936649739742279,
-0.03761211410164833,
0.03480654954910278,
-0.01416664570569992,
-0.006381931249052286,
-0.011222262866795063,
-0.06312523037195206,
-0.009213068522512913,
-0.0319717600941658,
0.026009932160377502,
-0.013479866087436676,
0.025819972157478333,
0.011930960230529308,
-0.0003685044648591429,
-0.013560233637690544,
-0.06470336019992828,
-0.008314411155879498,
-0.034660425037145615,
0.03647235408425331,
0.01052817702293396,
-0.015489060431718826,
-0.049564994871616364,
-0.03921946883201599,
0.014020522125065327,
-0.039716288447380066,
-0.02351122535765171,
0.0030813731718808413,
0.04532742127776146,
0.02446102537214756,
-0.006758198607712984,
0.02847941406071186,
-0.0008479712414555252,
-0.027690349146723747,
0.027091244235634804,
0.003249414963647723,
0.004902433604001999,
0.000963499944191426,
0.04646718129515648,
-0.005180067848414183,
-0.013333743438124657,
0.00960760097950697,
0.041323643177747726,
-0.008964658714830875,
-0.023218978196382523,
-0.04404153674840927,
-0.010725443251430988,
0.011017690412700176,
-0.02663826197385788,
0.01400590967386961,
0.023642735555768013,
0.02072027139365673,
0.003948980011045933,
-0.04982801526784897,
0.03834272921085358,
-0.0188352819532156,
-0.0035270489752292633,
-0.042141932994127274,
0.011558346450328827,
-0.027515001595020294,
-0.029882196336984634,
-0.002211940009146929,
-0.029546113684773445,
0.25226712226867676,
0.028172554448246956,
0.02805565670132637,
0.021348601207137108,
-0.004829372279345989,
0.046584080904722214,
0.024534087628126144,
-0.007353650406002998,
0.041557442396879196,
0.034748099744319916,
-0.013143782503902912,
0.027412714436650276,
-0.027237366884946823,
-0.019200589507818222,
0.004464064259082079,
0.0318840853869915,
-0.011273405514657497,
0.01972663402557373,
-0.0113829979673028,
-0.0438077375292778,
-0.062482286244630814,
-0.028420964255928993,
-0.035040345042943954,
0.012354717589914799,
-0.01659959740936756,
0.0596182718873024,
0.056140538305044174,
-0.006148133892565966,
0.008964658714830875,
-0.0577186681330204,
-0.05397791415452957,
-0.013421417213976383,
0.02332126535475254,
-0.04807453602552414,
-0.05587751418352127,
0.010170175693929195,
-0.023598898202180862,
-0.051493819802999496,
0.01585436798632145,
0.006316175684332848,
0.020691046491265297,
-0.032673150300979614,
0.021217091009020805,
0.01326798740774393,
-0.0016694576479494572,
0.07300315797328949,
-0.025746909901499748,
-0.008190206252038479,
0.015605959109961987,
-0.010045970790088177,
0.01480958703905344,
-0.006389237474650145,
0.004562697373330593,
-0.02995525859296322,
0.0072769359685480595,
0.007686080876737833,
0.026652874425053596,
-0.02517702989280224,
0.04094372317194939,
-0.05856618285179138,
0.015445223078131676,
0.019185977056622505,
0.03287772089242935,
-0.0036932642105966806,
-0.021655460819602013,
-0.03629700466990471,
0.04272642731666565,
0.05076320469379425,
-0.019142141565680504,
-0.014422360807657242,
-0.028830109164118767,
-0.011901735328137875,
0.017870869487524033,
-0.019098304212093353,
0.027690349146723747,
-0.00293342350050807,
-0.0031854859553277493,
-0.01303419005125761,
-0.010214012116193771,
-0.024022655561566353,
-0.06078725680708885,
-0.004814759828150272,
0.07428903877735138,
-0.005205639638006687,
0.06499560177326202,
0.03331609070301056,
-0.001414655358530581,
-0.054766979068517685,
-0.04217115789651871,
0.0030393628403544426,
0.030218280851840973,
0.0031179040670394897,
-0.005355415865778923,
-0.030130606144666672,
0.03445585444569588
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.