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Barrett chose Cena and declared that if he does n't win the title at the pay-per-view , Cena will be fired , but if he does , Cena will be relieved of all of his responsibilities to Nexus . | He said if Cena did n't make sure he won , Cena would be fired from the WWE but if Barrett did win , Cena would be able to leave the Nexus . |
Paul Michael Glaser ( born March 25 , 1943 ) is an American actor and director perhaps best known for his role as Detective David Starsky on the 1970s television series , Starsky and Hutch . | Paul Michael Glaser ( born March 25 , 1943 ) is an American actor and director . |
He also directed episodes of several well-known TV series , including Miami Vice , Robbery Homicide Division and Judging Amy . | He also directed episodes of the series : Starsky and Hutch , Miami Vice , Otherworld , The Agency , Mister Sterling , Robbery Homicide Division , Judging Amy , Third Watch , and many more . |
After the series , Glaser continued to act on television and in films , and directed the 1987 movie The Running Man starring Arnold Schwarzenegger as well as the 1992 movie The Cutting Edge . | He directed Arnold Schwarzenegger in The Running Man ( 1987 ) . |
There are four models commonly used for hyperbolic geometry : the Klein model , the Poincaré disc model , the Poincaré half-plane model , and the Lorentz model , or hyperboloid model . | There are three models commonly used for hyperbolic geometry : the Klein model , the Poincaré disc model , and the Lorentz model , or hyperboloid model . |
In Euclidean geometry , the `` angle of parallelism '' is a constant ; that is , any distance between parallel lines yields an angle of parallelism equal to 90 ° . | In Euclidean geometry , the angle of parallelism is a constant ; that is , any distance between parallel lines yields an angle of parallelism equal to 90 ° . |
In the nineteenth century , hyperbolic geometry was extensively explored by János Bolyai and Nikolai Ivanovich Lobachevsky , after whom it sometimes is named . | In the nineteenth century , hyperbolic geometry was explored by János Bolyai and Nikolai Ivanovich Lobachevsky , after whom it sometimes is named . |
In this article , the two limiting lines are called asymptotic and lines sharing a common perpendicular are called ultraparallel ; the simple word parallel may apply to both . | In this article , the two limiting lines are called asymptotic and lines that have a common perpendicular are called ultraparallel ; the simple word parallel may apply to both . |
Because there is no precise hyperbolic analog to Euclidean parallel lines , the hyperbolic use of parallel and related terms varies among writers . | Because there is no hyperbolic analog to Euclidean parallel lines , the hyperbolic use of parallel and related terms varies among writers . |
In hyperbolic geometry , the angle of parallelism varies with the Π ( p ) function . | In hyperbolic geometry , the angle of parallelism varies with the function . |
Carl Friedrich Gauss also studied hyperbolic geometry , describing in an 1824 letter to Taurinus that he had constructed it , but did not publish his work . | Karl Friedrich Gauss also studied hyperbolic geometry , describing in a 1824 letter to Taurinus that he had constructed it , but did not publish his work . |
This function , described by Nikolai Ivanovich Lobachevsky , produces a unique angle of parallelism for each distance p = . | This function , described by Nikolai Ivanovich Lobachevsky , produces a unique angle of parallelism for each distance . |
Thus we have this modified form of the parallel postulate : In hyperbolic geometry , given any line R , and point P not on R , there are exactly two lines through P which are asymptotic to R , and infinitely many lines through P ultraparallel to R . The differences between these types of lines can also be looked at in the following way : the distance between asymptotic lines shrinks toward zero in one direction and grows without bound in the other ; the distance between ultraparallel lines ( eventually ) increases in both directions . | Thus we have this modified form of the parallel postulate : In hyperbolic geometry , given any line l , and point P not on l , there are exactly two lines through P which are asymptotic to l , and infinitely many lines through P ultraparallel to l . The differences between these types of lines can also be looked at in the following way : the distance between asymptotic lines run to zero in one direction and grows without bound in the other ; the distance between ultraparallel lines increases in both directions . |
An interesting property of hyperbolic geometry follows from the occurrence of more than one line parallel to R through a point P , not on R : there are two classes of non-intersecting lines . | An interesting property of hyperbolic geometry follows from the occurrence of more than one parallel line through a point P : there are two classes of non-intersecting lines . |
Indeed , on small scales compared to , where K is the ( constant ) Gaussian curvature of the plane , an observer would have a hard time determining whether the environment is Euclidean or hyperbolic . | Indeed , on small scales compared to , where is the ( constant ) Gaussian curvature of the plane , an observer would have a hard time determining whether he is in the Euclidean or the hyperbolic plane . |
Despite their names , the first three mentioned above were introduced as models of hyperbolic space by Beltrami , not by Poincaré or Klein . | Despite the naming , the two disc models and the half-plane model were introduced as models of hyperbolic space by Beltrami , not by Poincaré or Klein . |
Let B be the point on R such that the line PB is perpendicular to R. Consider the line x through P such that x does not intersect R , and the angle θ between PB and x counterclockwise from PB is as small as possible ; i.e. , any smaller angle will force the line to intersect R . This is called an asymptotic line in hyperbolic geometry . | Let B be the point on l such that the line PB is perpendicular to l. Consider the line x through P such that x does not intersect l , and the angle θ between PB and x counterclockwise from PB is as small as possible ; i.e. , any smaller angle will force the line to intersect l . This is called an asymptotic line in hyperbolic geometry . |
Models have been constructed within Euclidean geometry that obey the axioms of hyperbolic geometry , thus proving that the parallel postulate is independent of the other postulates of Euclid . | Models have been constructed within Euclidean geometry that obey the axioms of hyperbolic geometry . |
The parallel postulate in Euclidean geometry is equivalent to the statement that , in two-dimensional space , for any given line R and point P not on R , there is exactly one line through P that does not intersect R ; i.e. , that is parallel to R . In hyperbolic geometry there are at least two distinct lines through P which do not intersect R , so the parallel postulate is false . | The parallel postulate in Euclidean geometry says that in two dimensional space , for any given line l and point P not on l , there is exactly one line through P that does not intersect l . This line is called parallel to l . In hyperbolic geometry there are at least two such lines through P . As they do not intersect l , the parallel postulate is false . |
The only two lines asymptotic to R through P are x and y. All other lines through P not intersecting R , with angles greater than θ with PB , are called ultra-parallel ( or disjointly parallel ) to R. Notice that since there are an infinite number of possible angles between θ and 90 ° , and each one will determine two lines through P and disjointly parallel to R , there exist an infinite number of ultraparallel lines . | x and y are the only two lines asymptotic to l through P. All other lines through P not intersecting l , with angles greater than θ with PB , are called ultraparallel ( or disjointly parallel ) to l. Notice that since there are an infinite number of possible angles between θ and 90 degrees , and each one will determine two lines through P and disjointly parallel to l , there exist an infinite number of ultraparallel lines . |
In mathematics , hyperbolic geometry ( also called Lobachevskian geometry or Bolyai-Lobachevskian geometry ) is a non-Euclidean geometry , meaning that the parallel postulate of Euclidean geometry is replaced . | In mathematics , hyperbolic geometry is a non-Euclidean geometry , meaning that the parallel postulate of Euclidean geometry is replaced . |
Their works on hyperbolic geometry had a considerable influence on its development among later European geometers , including Witelo , Gersonides , Alfonso , John Wallis and Saccheri . | Their works on hyperbolic geometry had a influence on its development among later European geometers , including Witelo , Alfonso and John Wallis . |
The theorems of Alhacen , Khayyam and al-Tusi on quadrilaterals , including the Ibn al-Haytham-Lambert quadrilateral and Khayyam-Saccheri quadrilateral , were the first theorems on hyperbolic geometry . | The theorems of Alhacen , Khayyam on quadrilaterals , were the first theorems on hyperbolic geometry . |
As the distance gets shorter , Π ( p ) approaches 90 ° , whereas with increasing distance Π ( p ) approaches 0 ° . | As the distance gets shorter , approaches 90 ° , whereas with increasing distance approaches 0 ° . |
The measure of the enclosed n ball is : A number of geometers made attempts to prove the parallel postulate by assuming its negation and trying to derive a contradiction , including Proclus , Ibn al-Haytham ( Alhacen ) , Omar Khayyám , Nasir al-Din al-Tusi , Witelo , Gersonides , Alfonso , and later Giovanni Gerolamo Saccheri , John Wallis , Johann Heinrich Lambert , and Legendre . | A number of geometers made attempts to prove the parallel postulate , including Omar Khayyám , and later Giovanni Gerolamo Saccheri , John Wallis , Lambert , and Legendre . |
They soon split into cat-like and dog-like forms ( Feliformia and Caniformia ) . | The group is divided into the `` cat-like '' Feliformia and the `` dog-like '' Caniformia . |
EMI-Columbia released The Piper at the Gates of Dawn in August 1967 . | Their first album was the Piper at the Gates of Dawn , which was released in 1967 . |
Pink Floyd were an English rock band that achieved international acclaim with their progressive and psychedelic music . | Pink Floyd is an English rock band that became famous in the 1960s . |
Each of the first four tournaments was played by eight teams , divided into two groups of four . | The first four tournaments were played by eight teams , divided into two groups of four . |
The `` Super 6 '' teams played the three other teams that advanced from the other group . | The `` Super 6 '' teams played the three other teams that had made it through from the other group . |
The four teams in each group played each other in the round-robin group stage , with the top two teams in each group progressing to the semi-finals . | The four teams in each group played each other once in the group stage . |
India and Sri Lanka between them have made it to the finals of all World Cup tournaments in this millennium The Test-playing nations qualify automatically for the World Cup main event , while the other teams have to qualify through a series of preliminary qualifying tournaments . | The Test-playing nations qualify automatically for the World Cup main event , while the other teams have to qualify through a series of preliminary qualifying tournaments . |
The event is organised by the sport 's governing body , the International Cricket Council ( ICC ) , with preliminary qualification rounds leading up to a finals tournament which is held every four years . | The event is organised by the sport 's governing body , the International Cricket Council ( ICC ) . |
Process summary in chronological order : The format of the Cricket World Cup has changed greatly over the course of its history . | The format of the Cricket World Cup has changed greatly over the course of its history . |
There , competition comprised two stages , a group stage and a knock-out stage . | A group stage and a knock-out stage . |
The top four teams from the `` Super 8 '' round advance to the semi-finals , and the winners of the semi-finals play in the final . | The top four teams from the `` Super 8 '' round advance to the semi-finals . |
The teams were split into two pools , with the top three teams in each pool advancing to the Super 6 . | The top three teams in each pool went into the Super 6 . |
In subsequent years , international Test cricket has generally been organised as bilateral series : a multilateral Test tournament was not organised again until the quadrangular Asian Test Championship in 1999 . | In subsequent years , international Test cricket has been generally been organised as bilateral series . |
Teams earned points in the same way as the group stage , but carrying their points forward from previous matches against the other teams who qualified from the same group to the `` Super 8 '' stage . | Teams also carry their points forward from the match against the other team who qualified from the same group . |
The ICC Cricket World Cup is the international championship of One Day International ( ODI ) cricket . | The ICC Cricket World Cup is an international cricket competition . |
The first multilateral competition at international level was the 1912 Triangular Tournament , a Test cricket tournament played in England between all three Test-playing nations at the time : England , Australia and South Africa . | It was a Test cricket tournament played in England between England , Australia and South Africa . |
As they advanced , the teams carried their points forward from previous matches against other teams advancing alongside them , giving them an incentive to perform well in the group stages . | The teams carried their points forward from the matches played against the other two who were in their group . |
Within each group , the teams play each other in a round-robin format . | Each team played each other once within the group . |
Within each group , the teams will play in a round-robin format . | Within each group each team will play each other once . |
The tournament was further expanded in 1996 , with two groups of six teams . | The tournament was made bigger in 1996 , with two groups of six teams . |
Split into two pools of seven teams each , the top four teams from each group qualified for the quarter-finals . | The teams were split into two pools . |
In 1901 he returned to Spain and opened the Escuela Moderna ( The Modern School ) to teach middle-class children ( then ) radical social values . | In 1901 he returned to Spain and opened la Escuela Moderna ( The Modern School ) to teach middle-class children ( then ) radical social values , the school was free . |
The first and most notable Modern School was formed in New York City in 1911 , and then later a community was founded around a school , known as Ferrer Colony and Modern School . | The first and most important Modern School was formed in New York City in 1911 , and then later a community was founded around a school , known as Ferrer Colony and Modern School . |
The work was entitled The Origins and Ideals of the Modern School and was translated into English by Joseph McCabe and published by the Knickerbocker Press in 1913 . | The book was called The Origins and Ideals of the Modern School and was translated into English by Joseph McCabe and published by the Knickerbocker Press in 1913 . |
Francesc Ferrer i Guàrdia ( 10 January 1859 - 13 October 1909 ) ( known as Francisco Ferrer y Guardia in Spanish and often simply as Francisco Ferrer ) was a Spanish free-thinker and anarchist . | Francesc Ferrer y Guàrdia ( 10 January 1859 - 12 October 1909 ) , ( known as Francisco Ferrer i Guardia in Englishpr shortly Francisco Ferrer ) , was a Spanish Catalan `` free-thinker '' and anarchist . |
He was born in Alella ( a small town near Barcelona ) to Roman Catholic parents . | He was born in Alella ( a small town near Barcelona ) . |
Shortly after his execution , numerous supporters of Ferrer 's ideas in the United States formed what were called Modern Schools , or Ferrer Schools , modeled after la Escuela Moderna . | After his execution , numerous supporters of Ferrer 's ideas in the United States formed what were called Modern Schools , or Ferrer Schools . |
Following the declaration of martial law in 1909 during the Tragic Week , he was arrested and , having been found guilty after a lengthy trial , executed by firing squad at Montjuich Fortress in Barcelona on 13 October . | When the martial law was reused in 1909 during the Tragic Week , he was arrested , convicted without any proof and executed by firing squad at Montjuich Fortress in Barcelona on 13 October . |
Divorcing in 1899 , he remarried a wealthy Parisian teacher shortly thereafter . | Divorcing his first wife in 1899 , he remarried a rich Parisian teacher some time after . |
In 1906 he was arrested on suspicion of involvement with Mateu Morral 's attack on King Alfonso XIII and released uncharged over a year later . | In 1906 he was arrested and accused of helping with Mateu Morral 's attack on King Alphonso XIII and released a year later . |
A neutron star has a mass comparable to that of the Sun , but as it is only about 10 km ( 6 mi ) in radius , it has an average density 1 quadrillion times that of water . | Neutron stars have a radius of about 10 kilometres ( 6 mi ) and a mass from about 1.4 to 5 times the mass of the Sun . |
Other neutron stars are formed within close binaries . | All other stars that go supernova become neutron stars . |
The surface of the neutron star is made of iron . | Neutron stars are very dense . |
Over time , neutron stars slow down ( spin down ) because their rotating magnetic fields radiate energy ; older neutron stars may take several seconds for each revolution . | Neutron stars have very strong magnetic fields . |
Such spin rates are expected if the core of the original star collapses without loss of angular momentum - if the original star has a magnetic field , then this too may be conserved and concentrated in the collapse to a neutron star . | All stars have a magnetic field . |
Neutron stars which emit such pulses are called pulsars . | This ` pulse ' is why they are called pulsars . |
In particular , a nucleus is held together by the strong interaction , whereas a neutron star is held together by gravity . | It is a very large nucleus held together by gravity . |
Since 2006 Edmondson has concentrated increasingly on music instead of acting , forming band The Bad Shepherds and performing and writing for the Bonzo Dog Doo Dah Band . | He made the band The Bad Shepherds and performs and writes for the Bonzo Dog Doo Dah Band . |
Adrian Charles Edmondson sometimes known as Ade Edmondson ( born 24 January 1957 ) is a British comedian , actor , writer , musician , television presenter and director . | Adrian Charles `` Ade '' Edmondson ( 24 January 1957 ) is in English actor and comedian . |
Edmondson , the second of four children , was born in Bradford , West Riding of Yorkshire . | Edmonson was born in Bradford , West Riding of Yorkshire . |
He lives in Devon and London . | They have houses in Devon and London . |
Edmondson has been married to fellow comedian Jennifer Saunders since 1985 and they have three daughters and two grandchildren . | He is married to comedienne Jennifer Saunders . |
After World War I , Bohemia became part of the new Czechoslovakia , and Bohemian athletes competed for Czechoslovakia at the Olympics . | Bohemian athletes competed for Czechoslovakia at the Olympics . |
After the 1992 Summer Olympics and the dissolution of Czechoslovakia into the Czech Republic and Slovakia in 1993 , Bohemian athletes competed for the Czech Republic at the Olympics . | After Czechoslovakia was split into the Czech Republic and Slovakia in 1993 , Bohemian athletes competed for the Czech Republic at the Olympics . |
The team made its debut at the 1900 Summer Olympics . | The team began taking part in the Olympics at the 1900 Summer Olympics . |
Bohemia , an autonomous part of Austria-Hungary until 1918 , competed at some of the early modern Olympic Games . | It was an autonomous part of Austria-Hungary until 1918 . |
If these post-war appearances are counted , Bohemia has missed only three Olympics : the inaugural 1896 Summer Olympics , the 1904 Summer Olympics ( the first held outside Europe ) and the boycotted 1984 Summer Olympics . | Bohemian athletes have missed only three Olympics : the first in 1896 , the 1904 Summer Olympics ( the first not to take place in Europe ) and the boycotted 1984 Summer Olympics . |
Geotechnical engineering is the branch of civil engineering concerned with the engineering behavior of earth materials . | Geotechnical engineering is an important subset of civil engineering dealing with engineering performance of earth materials . |
Foundations built for above-ground structures include shallow and deep foundations . | Geotechnical engineering uses principles of soil and rock mechanics to determine : to design : and to monitor : Foundations built for above-ground structures include shallow and deep foundations . |
A plaque on the copper just under the figure in front declares that it is a colossal statue representing Liberty , designed by Bartholdi and built by the Paris firm of Gaget , Gauthier et Cie ( Cie is the French abbreviation analogous to Co. ) . | A plaque on the copper just under the figure 's feet declares that it is a colossal statue representing Liberty , designed by Bartholdi and built by the Paris firm of Gaget , Gauthier et Cie ( Cie is the French abbreviation analogous to Co. ) . |
There is a tablet placed by the New York committee that commemorates the fundraising done to build the pedestal . | The New York committee made a plaque that commemorates the fundraising done to build the pedestal . |
Two Americans-Pulitzer and Lazarus-and three Frenchmen-Bartholdi , Laboulaye , and Eiffel-are depicted . | The statues stand for two Americans-Pulitzer and Lazarus-and three Frenchmen-Bartholdi , Laboulaye , and Eiffel . |
They are the work of Maryland sculptor Phillip Ratner . | The five statues were designed by Maryland sculptor Phillip Ratner . |
A presentation tablet , also bearing Bartholdi 's name , declares the statue to be a gift from the people of the Republic of France that honors `` the Alliance of the two Nations in achieving the Independence of the United States of America and attests their abiding friendship . '' | Another plaquedeclares the statue to be a gift from the people of the Republic of France that honors `` the Alliance of the two Nations in achieving the Independence of the United States of America and attests their abiding friendship . '' |
A group of statues stands at the western end of the island , honoring those closely associated with the Statue of Liberty . | A group of five statues is at the western end of the island . |
There are several plaques and dedicatory tablets on or near the Statue of Liberty . | There are several metal plaques on or near the Statue of Liberty . |
Stephen Collins Foster ( July 4 , 1826 - January 13 , 1864 ) , known as the `` father of American music '' , was an American songwriter primarily known for his parlor and minstrel music . | Stephen Collins Foster ( July 4 , 1826 - January 13 , 1864 ) was America 's first professional songwriter . |
Foster was buried in the Allegheny Cemetery in Pittsburgh . | She is buried in the Allegheny Cemetery . |
The guppy ( Poecilia reticulata ) , also known as million fish and rainbow fish , is one of the world 's most widely distributed tropical fish , and one of the most popular freshwater aquarium fish species . | The guppy ( Poecilia reticulata ) , also known as the millionfish , is one of the most popular freshwater aquarium fish species in the world . |
The size of guppies vary , but males are typically 1.5-3 .5 centimetres ( 0.6-1 .4 in ) long , while females are 3-6 centimetres ( 1.2-2 .4 in ) long . | It is a small member of the Poeciliidae family ( females 4-6 centimetres ( 1.6-2 .4 in ) long , males 2.5-3 .5 centimetres ( 1.0-1 .4 in ) long ) and like all other members of the family , is live-bearing . |
The 1966 FIFA World Cup , the eighth staging of the World Cup , was held in England from 11 to 30 July . | The 1966 FIFA World Cup was the eighth FIFA World Cup . |
England beat West Germany 4-2 in the final , winning the World Cup . | England won the final beating West Germany 4-2 . |
With this victory England became the third host to win the tournament after Uruguay in 1930 and Italy in 1934 , and to date it is the only major championship England has won . | England also became the first host to win since Italy won it in 1934 . |
Art Pepper ( September 1 , 1925 - June 15 , 1982 ) , born Arthur Edward Pepper , Jr. , was an American alto saxophonist and clarinetist . | Arthur Edward `` Art '' Pepper , Jr. ( September 1 , 1925-June 15 , 1982 ) was an American jazz alto saxophonist . |
Some of Pepper 's most famous albums from the 1950s are Art Pepper Meets the Rhythm Section , Art Pepper + Eleven - Modern Jazz Classics , Gettin ' Together , and Smack Up . | Some of his most famous albums are Art Pepper Meets the Rhythm Section , The Aladdin Recordings ( three volumes ) , Art Pepper + Eleven - Modern Jazz Classics , Gettin ' Together , and Smack Up . |
Along with Chet Baker , Gerry Mulligan and Shelly Manne , and perhaps due more to geography than playing style , Pepper is often associated with the musical movement known as West Coast jazz , as contrasted with the East Coast ( or `` hot '' ) jazz associated with the likes of Charlie Parker , Dizzy Gillespie and Miles Davis . | Along with Chet Baker , Gerry Mulligan , Shelly Manne and others , he performed and recorded a lot of very good music . |
At the Sea Life London Aquarium , two female stingrays have delivered seven baby stingrays , although the mothers have not been near a male for two years . | At the Sea Life London Aquarium 2 female stingrays have delivered 7 baby stingrays , although the mothers have not been near a male for 2 years . |
Stingrays are ovoviviparous , bearing live young in `` litters '' of five to 13 . | Stingrays are ovoviviparous , bearing live young in ` litters ' of five to thirteen . |
Instead , the embryos absorb nutrients from a yolk sac , and after the sac is depleted , the mother provides uterine `` milk '' . | Instead , the embryos absorb nutrients from a yolk sac , and after the sac is depleted , the mother provides uterine ` milk ' . |
Stingrays feed primarily on molluscs , crustaceans , and occasionally on small fish . | Stingrays feed mostly on molluscs , crustaceans , and occasionally on small fish . |
A few members of the suborder , such as the manta rays and the porcupine ray , do not have stingers . | A few members of the suborder , such as the manta rays and the porcupine ray , do not have stings . |
Stingrays are a group of rays , which are cartilaginous fishes related to sharks . | They are cartilaginous fishes related to sharks . |
The stinger may reach a length of approximately 35 cm ( 14 in ) , and its underside has two grooves with venom glands . | The sting may reach about 35 cm , and its underside has two grooves with venom glands . |
The flattened bodies of stingrays allow them to effectively conceal themselves in their environment . | The flattened bodies of stingrays allow them to hide themselves . |
Stingrays do this by agitating the sand and hiding beneath it . | Stingrays agitate the sand and hide beneath it . |
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