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I am trying to draw a diagram below using Tikz or mathcha. As for Tikz I do not know how to position a node relative to other two or more ndoes. As for mathcha, I do not know how to connect a line with a text or math box.
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"Modeless" is widely used which is not in the dictionary such as "Modal and Modeless Dialog Boxes". Why they do not use "modaless"? If "Modal" is the adjective of "mode", so "Modeless" is the opposite adjective of it. What is the difference between "model" and "mode"
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A passing ship creates a large wave. As it moves shoreward, the wave encounters an anchored yacht which rises up. If the yacht is prevented from falling back to its pre-wave floating position, has the wave transferred an amount of energy (equal to mgh) when it reaches shore?
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Does air in the atmosphere suffer friction in some way due solely to the planet's rotation? I mean, if you took a rotating planet with an atmosphere (not being influenced or heated by its star, its nucleus or any other element), would the air get some friction only due to the planet's rotation? Does this slow down the planet's rotation?
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I use IguanaTex to insert formulae in PowerPoint. However, the generated formulae look like this . That is, the box is very long. I do not know why and how to fix this. I attach my code here .
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Is this a cleft sentence or a "preparatory it"? It was my tablet which I didn't realize had fallen off the bed and on the floor. Is it correct? I think it should leave out the structure "I didn't realize."
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Does glass undergo internal damage in a similar way to wood when struck hard, even if it doesn't visibly break, and is this damage accumulated gradually over time, or does it occur as a binary response, unlike wood.
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This is some sort of attractor I have obtained in the digital oscilloscope. The oscilloscope is connected to a chua circuit of my own design. My real question is whether that the phase plot I have obtained on the oscilloscope is a strange attractor or not? Or is it some other attractor?
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I noticed in the first exercise itself that one requires knowledge of the Fundamental Theorem of Arithmetic. What introductory books gives the proof of the Fundamental Theorem of Arithmetic? It'd be nice of the book also explained how to extract roots and find the highest common factors of big numbers alongside proofs of the basic geometric formulas-Pythagoras, surface area of a sphere, etc.
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Are there any ways to prove if irrational numbers are really irrational and the digits of decimal does not repeat? Or if maybe irrational numbers are actually rational which the repetition of digits are so far apart we see them as 'irrational'.
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In the standard model of particle physics, there are four fundamental forces/interactions, each governed or conveyed by its respective fundamental particle: Strong force: quark/gluons Weak force: neutron Electromagnetism: Photon Is gravitation hence subject to the existence of an analogous fundamental particle, the hypothetical graviton? If so, what, if any, empirical evidence suggests it exists?
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The sentence was this: In his process of dying; the children, if they are still not independent of his guidance, shall perish. The expression 'are still not' does not seem grammatically correct. What could be an alternative way of framing this sentence using 'still'?
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There are some candidates for tetraquarks, pentaquarks or even now sexaquarks/hexaquarks. But, I wonder, what are the highest molecular quark states taking into account QCD? Are there heptaquarks, octaquarks, nonaquarks, decaquarks...stable enough to be found in colliders or Nature?
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Suppose U is a subspace of V such that V/U is finite dimensional. V/U is the quotient sapce, namely the set of all affine subsets of V parallel to U. I think we cannot show that V is finite dimensional, but I am confused without any idea.
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I want to visualise how various orbitals are arranged in a multi electron atom. And main confusion Im having is how large or small are certain Orbitals. So is the picture attached giving a good estimate of relative sizes? (I got this form Wikipedia.)
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I have a problem similar to the one described in this question. However, additionally to having the size given in the file, I would want to give it specifically in axis units (assuming equal axis). How could I achieve that?
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If the strong interaction force between the quarks that make up protons & neutrons get stronger with distance, and if the gluons enabling that force split up if enough energy is applied to them, giving rise to new quark-antiquark pairs, how can atomic fission work? How can atomic nuclei be split up if new quark pairs are created when gluons snap?
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Not sure if this counts as a ``high quality post" but I'd appreciate any advice on the LaTeX template/ package source that I can create a callout with: Here's an image of the desired output:
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Pasted below is a screenshot from this super interesting website: https://ciechanow.ski/bicycle/ Are the blue and green forces in the diagram below an action/reaction pair? If so, how does the process of equilibration described in the text make sense? If not, how would the drawing be changed to show the relevant reaction forces?
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I wish to determine Plucker coordinates of Infinite dimension Sato Grassmannian. I've been reading the original paper by Sato and other related works, but couldn't understand few things Do Plucker coordinates of infinite dim Sato Grassmanian also fulfill Plucker relations ? If yes, how do we go about determining those Plucker relations ?
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So any gravitational field will have a gradient, no? But an accelerating object does not experience any gradient of force. So you should be able to tell if you are in gravity or accelerating by measurement. Right? Is it even possible to experience constant gravity?
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moment is equal to force x distance but why is is it so. why is it so that greater the distance less the effort needed? i tried understanding it mathematically but it just went over my head. if any body can explain it in any other way ,i would appreciate it.
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I am looking for a good book or review on the treatment of a charged particle interaction (an electron typically) with magnetic, electric and electromagnetic fields. Ideally with both classical and fully quantum treatments.
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I am studying Automata theory and in its introduction , there is a statement about conditionals, if A then B is logically equivalent to A only if B. But if B is true and A is false , then if A then B holds true. Then, what about A only if B ? Will it also be true?
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I know that when a material is magnetized, the electrons of the atoms get aligned in the same way, they point to the same direction. But then progressively they demagnetize. So, how can permanent magnets mantain their magnetism? What property do they have to do this?
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Is there a word for the other party when you do not meet your agreements? I would say something like "duped", but I don't want to give the impression it was unfair, let alone planned. I suppose something along the lines of "let down", but snappier and less sympathetic. I would say something like 'jilt', but it's not marriage specific.
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Consider a one dimensional chain of N classical point masses interacting with neighbor harmonic forces. Is it possible to find initial conditions (positions and velocities) such that non-periodic (irregular) oscillations can be observed ? If yes, what is the relative size phase space that leads to this ? i.e how likely is to observe this ?
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How can I stop vim-latex from opening my preamble files open loading the main-file.tex? (It opens all preamble files that the mainfile calls at the beginning in a separate buffer which for me is unnecessary).
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The negative mass Schwarzschild metric has no event horizon. Why isnt there a particular radius in which spactime flows outwards at the speed of light? This would imply a region of the solution for which exterior particles could not cross.
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When beginning a sentence with an apocopated word, does one capitalise the first letter printed--ie, the second or later letter of the word? Or does one just let the apostrophe stand for the absent capitalised letter? Thank you.
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I am looking for a reference (preferably a textbook so that additional preparation material is handy) that calculates the exit time of a Wiener process from a region bounded by sloped lines. Thank you, Gary
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At low photon energies, the probability of the photoelectric effect to occur increases, but the probability of the photoelectric effect to happen also increases when going towards most inner shells like K shell but inner shells require much more photon energies to be broken, so isn't there a contrast here? How is this EVEN possible?
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We know that the vertical anemometer, just like the cup/vane anemometer, works by measuring how fast the cup/fan rotates because of the wind. But how could we possibly know that the fan rotation is due to vertical winds, and not due to the horizontal winds? Wouldn't the horizontal winds affect the readings of this anemometer? Why, or why not?. image credits: link
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In this sentence: Some of the sensitive topics that have dominated xxx talks in the past now seem further down the agenda. What is the meaning of "down the agenda" in this sentence?, What is the usage of "down"? Is it used as a verb?
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Looking at the Wikipedia entry on the topic: Superior Highly Composite Numbers It is true of all numbers listed there. Does this commonality continue forever? Put another way: Are all SHCNs factors of all larger SHCNs?
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I have to present in class "The classical version of the Frobenius theorem". Here is the classic version of the book "Foundations of Differentiable Manifolds and Lie Groups" (Frank W. Warner). I want more references on this theorem with example and applications of the PDE. Could you suggest me some, please?
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I am self-studying the book Lebesgue Integration on Euclidean Space by Frank Jones. There is no doubt that this is a great textbook on real variable functions, but the large number of unanswered examples interspersed in the main text makes me look very struggling. So where should I find the errata or exercise answers about this book?
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My understanding is that the dimensions of objects change relative to an observer so that a moving cube would no longer be cube shaped and its volume might differ. However, what if that object was absorbing radiation based on its surface area: would a stationary observer see a different amount of heating than a person within the cube? And would this be a paradox?
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People have extracted so much underground water that it affects the Earth's balance. Most relative clauses start with a relative pronoun, such as "that." What is the subject in the relative clause above? Is it "that" or "it?"
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When I'm reading about color spaces on wikipedia, I noticed that it only concerns about the power spectral only distribution of a illumination without caring about the phases. I wonder if some frequency components of the light would cancel out, why only using power distribution is enough? If two illuminations are not coherent, then how exactly would their power distributions merge?
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Is there any literature related to Slip boundary conditions of friction type for magnetohydrodynamic equations? As there is some results for Navier-Stokes equations with slip boundary conditions of friction type but no result I can find for MHD. Can we use the slip boundary conditions of friction type for MHD specially for its weak solutions. Especially, for weak solutions of MHD equations.
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In a chemical reaction, I have studied that a reverse and forward reaction occurs every time and neither reactant nor product can be zero. My question is: if the forward reaction and the backward reaction take place at a particular temperature then how can both the backward and forward reaction take place every time simultaneously?
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We know that when an electron jumps from shell to shell it produces light waves which produce the sensation of vision to our eyes. But can anything be said about the colour of an atom in particular. Can anything also be concluded about the colour of any subatomic particle.
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Title says it all, but some more examples could be: like vs love pleasure vs euphoria carelessness vs apathy etc. ...essentially words that carry more weight than their counterpart despite having similar definitions. I hesitate to call them synonyms- though that may not be incorrect to say, it isn't the term I'm looking for here.
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On my way of satudying Heisenberg matrix mechanics, I get blocked by formulas engaging derivations with respect to a matrix arguments. My question is the following : Is there any mathematically rigorous definition of deriving a matrix-valued function with respect to one of its matrix argument ? thanks in advance.
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Pretty straightforward question. Does there exist a theoretical upper bound for the acceleration of a point mass? If not, what is the greatest acceleration of a point mass ever recorded, or that will be reached by new technology in the next few years?
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From linguistics, I saw typology. By dictionary, typology is the study of or analysis or classification based on types or categories. So I was wondering if there are some relationships and differences between typology and type and category theories? Is typology the application of type and category theories in specific areas?
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I would like to have a line with both equations and text, but the math environment takes over. What can I do so that I can include text in the equation display ?
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We have a metal sphere completely immersed in a liquid of density A by means of a string. Since the sphere is exerted by the buoyant force due to the liquid the sphere must also exert an equal and opposite force on the liquid. So wouldn't that contribute to the pressure at the bottom ? (Assuming no atmospheric pressure)
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Are photons created in Spontaneous Parametric Down-Conversion (SPDC) intrinsically entangled? If, yes, why to construct all complicated interferometers (Mach-Zender, Sagnac) around it? Is it critical that the photons not be entangled in any degrees of freedom other than the one encoding the quantum information? thank you Vlad
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Professor Brian Greene covers a unique angle into the twin paradox by having the stationary observer and the rocket release light beams towards each other in fixed intervals according to their proper time. Here is a screen grab from a demonstration from his course at World Science U: Have any experiments been carried out to replicate what has been shown here?
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Where can I read about Valleytronics? Are there any good books or review papers on this topic? And which are the most influential papers? The question was also posted at the Matter Modeling site.
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I know that the Ihara zeta function being the same for two graphs does not necessitate an isomorphism between the graphs, but say instead the zeta functions were the same and the zeta functions of their Galois covers were the same. What could we say then? What if the same follows for the intermediate covers?
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While I was reading dot and cross products I stumbled upon the well known fact that the dot product yields a scalar and the cross product yields a vector. All I want to know is why. Why does the dot and cross products always yields Scalars and vectors respectively. And also, what led us to define the products the way they are defined?
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What does the existence of CTC imply for the Causal Structure of the spacetime? Can a strongly causal spacetime have any CTC[without fluctuating the metric]? Is there any such example? Can someone share please? I'd really appreciate if so.
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Good morning everyone! I'm pretty new to reledmac package and, although i read the manual several times i still can't figure out how to put the /pstart number on the outer margin of the page (like i can set line number in the inner margin). Here's an example of what i mean:
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I just learned the definition of point-free topologies (also known as pointless topologies). Is every point-free topology expressible as a pointwise topology (so the notion of point-free topologies is nothing but an alternative way to look at existing pointwise topologies), or are there point-free topologies that are not pointwise topologies (so that point-free topologies is indeed a "proper" generalization)?
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enter image description here hi everyone I have this data of wind direction in radians from -pi to pi (picture is added). any idea which stochastic differential equation (SDE) can represent it? i need an SDE that will produce approximatly this behavior.
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Texlive/pdflatex used to produce documents I really liked the look of, which was like this: I have since reverted to the defaults: Is there any way to look in the .out/.log/etc files that produced the first pdf to try to reproduce that look?
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Is there some classic example of an universally injective ring morphism which is not a faithfully flat morphism? I was not able to find it in any commutative algebra book and neither around here.
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How will the absorption spectrum of a doped semiconductor look if we consider both the dopant as well as the exciton energy levels? And qualitatively, what is the difference between the formation of an e-h pair corresponding to an exciton energy state, and similarly, another e-h pair corresponding to any of the dopant energy states?
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The white x-ray spectra (bremsstrahlung radiation) when plotted for different incident electron energies in the same graph, looks very similar to the Black-body radiation curve except for starting from a minimum wavelength. Firstly, what is the governing equation for x-ray spectra which explains such curve, and secondly how is it related to the BB curve.
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The question is in the title. I've done some reading and seen that assuming AC, existence of such a function is guaranteed since the cardinals are well-ordered. Can we explicitly construct such a function?
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Form what I understand a necessary condition for Riemann integrable function is it must be bounded, and a sufficient condition can be that the function is if a bounded function has finitely many discontinuities. Can someone provide an example where it showed that Riemann integrable function MUST be bounded?
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To get some insight on the zero locus of the cubic curve, I've tried a couple of online visualisers on Google and mostly failed to generate the plot (run time errors...) except Wolfram Alpha which gave me the following; Is this visualisation correct??
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What is the precise definition of a dust solution in general relativity? If the Einstein tensor of a metric has only the first diagonal term non-zero, it that sufficient for that solution to be called a dust solution?
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In a state of quantum coherence, if only a part of a macroscopic object interacts with the environment, does the non-interacting part also have an effect? Does the part that interacts with the environment affect the rest of the part that does not interact with it, so that behavior becomes classically unconditional?
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I would like to study string-theory on my own and would like to know the knowledge pre-requisite on mathematics and physics I should master before embarking on my journey to study string theory. Thanks
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I have a system of nonlinear equations and what define if it is concave or convex. probably it is solved by using Hessian matrix, but I don't know how to do this. Someone can help me?
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Consider this locus Now a property of this is that the angle between the tangent at any point B and the line joining origin to B is constant . My question is why does this happening? I was able to prove this but don't understand why this happens.
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What is the mechanism and the reasons of this heat release? I know that the molecules of oxygen are solvated and the hydrogen bonds are rearranged. But for what reasons are heat released and what does that concretely mean? Does it mean that the mean kinetic energy of the molecules is a bit increased?
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This is the sentence: The auto-negotiating device will link at the speed of the non-negotiating device, and set its port to half-duplex mode. Can someone explain on what is being referred here when "its" is mentioned? Its = Auto-negotiating device? Its = Non-negotiating device? Which does it indicate and why?
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A perfectly inelastic central collision of two equal relativistic particles whose kinetic energies are equal to their resting energies results a single relativistic particle (and nothing but it). The mass of the resulting particle is greater than the sum of the masses of the particles that collided, but why and how?
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We were asked to determine how many square roots can you construct with the root spiral before overlapping. I attached an image of the root spiral in question and an other image wich contains my work on the problem. Any help is greatly appreciated!
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I mean we know proton and electron posses charged that are opposite to each other and they emit electromagnetic radiation perpendicular to each other. My question here is where does this charge comes from at the first place . What process is there that provide charge to these subatomic particles ?
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I want to add specific pages from a PDF as backgrounds to different pages in my LaTeX document, creating a new command for each desired image. How can I do this? I'm somewhat new and can't find how to do it.
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I have read that despite strong connections between prime factorization and DLP an algorithm for the former does not imply the latter directly. But I was reading about the number field sieve and it seemed like the bottleneck was identifying smooth norms. Wouldn't an ultrafast prime factorization algorithm achieve that?
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i know that they arn't in the normal sence connected but how is it that when one particle is observed spinning up the other one "starts" spinning down. It can't have always been spinning down.
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Toby calls Jetta ugly and gets embarrassed when Sarah calls him out and tells him that he should be nice to her because Jetta's done nothing to him. Days later, Toby calls Sabah a bully for responding to the hate she received from another classmate.
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I am a scientist not specialized in plasma physics who has little knowledge in transport phenomena. Please, what are the mechanisms responsible for dissipation in collisionless and collisional fully ionised plasmas? Many thanks.
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I read in a physics book that Without clocks of extreme accuracy, the Global Positioning System (GPS) that is now vital to worldwide navigation would be useless. What would be effects on navigation of less accurate clocks in the context of GPS?
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There are a few "question words" that mirror their answer words- When/Then Where/There What/That Who/Thou (might be stretching it here..) Do these words have origins where this makes sense, or is this a coincidence?
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How can make style of theorem like this?.Honestly, I took this picture from the internet because I couldn't do it in latex, and I modified it to show what I want to do in the environment of the theorem.
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What we learn about physics can usually be divided into two parts: study of Particle or Wave. We later learn wave-particle duality, etc. Particle is somewhat intuitive, but what's so special about a wave that makes it fundamental? Why not other things?
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I am using the textbook 'Introduction to Solid State Physics' to learn about 'PARAMAGNETIC SUSCEPTIBILITY OF CONDUCTION ELECTRON' (Book by Charles Kittel) Consider the diagram when a field is applied I dont understand how we can have total energy which is negative. In the case of the 'parallel to field spin', there is section that shows negative total energy
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I know that we can have complex inner products defined such as Conjugate linear to first argument: SUM(conj(lhsElement), rhsElement) Conjugate linear to second argument: SUM(lhsElement, conj(rhsElement)) Can we have a complex inner product defined to be conjugate linear to both arguments, such as SUM(conj(lhsElement), conj(rhsElement))?
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I am writing a manuscript. There is a sentence my advisor and I keep editing. The sentence: We did not detect significant effects of lineage, initial length, nor status on individual growth rate. Would it be more appropriate to write the above sentence with "or" instead of "nor"? If so, why? And why do I have to use "or?
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Suppose I have hexagons that like the ones below but I know the area and the points of each hexagon that represent a cuboid of dimensions g,h,d. How can I find the values for g, h, and d? Any pointers on finding a solution?
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In the electromagnetic field, there are NxN points on the incident plane. By changing the phase of the electric field at these points, the desired electric field distribution is generated in the target field, that is, the amplitude and phase of the electric field are simultaneously satisfied. If we can use the LM algorithm, how do we represent the Jacobian matrix?
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I am currently very interested in texts, books, and papers that combine topology and logic. I recall reading many years ago a journal article that talked about both topology and the axiom of choice. I would be very glad to see some references.
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I'm looking for references which provide good surveys and histories of results related to Gateaux and Frechet derivatives and their relationship to Asplundness and RNP. Specifically, any papers or books which explain the underlying ideas and geometry, rather than simply proving results or leaning heavily on other unexplained existence results as a black box.
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Although I say "Listen to reason," if I insert "voice of," do I use "Listen to the voice of reason" or "Hear the voice of reason," or can I use either? The topic came up in a class I was giving distinguishing between TO HEAR as a sense verb (not deliberate, involuntary) and TO LISTEN as a deliberate, voluntary verb.
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Can we say that an object at rest on the surface of the Earth accelerates in the direction of the ct-basevector, as viewed by an observer standing on Earth? Obviously, there is no acceleration in the space direction.
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Below is the simplex tableau in optimal format. I supposed to have identity matrix, but instead I got negative values. This means my solutions are negative. How to proceed further in order to find optimal solution to a problem? Simplex Tableau in optimal format
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Is "stump" for 'leg' a good choice when the goal is to pick a slang word that is commonly understood by Brits? Or, would, for instance, "pin", or any other synonymous slang word, be a better choice for that reason?
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I tried reading the English translation of Bourbaki's theory of sets. and I am confused, there is little that makes sense to me. I have experience with Naive set theory, so I was looking forward to learning ZFC and surrounding schemes with some rigour but this is too complex and inconsistent.I am looking forward to some dialogue where I get to know something.
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Symploce is two or more sentences / phrases sharing the same beginning and end, but a different middle, while I'm looking for two or more sentences / phrases sharing a middle but different beginnings and ends. Such as in the question: A is to B, as C is to what? And Roses are red, violets are blue
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I know that the probability of the electron tunnelling out of the orbital is non-zero, but my question is strictly wrt the energy-time uncertainty at zero Kelvin. Is that probability non-zero as well?
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There are certain functions that can be non-differntiable but are still solution to a "differential equations". This is fine, as a non-differentiable function can still have an integral. The main question is the following: What does it mean by taking the Laplace transform of Non-differntiable functions.? Isnt it a violation of some rules here and there?
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I had my purse stolen during my stay in London. In this sentence, "stolen" is used insted of "steal". In my childhood, I had a fire break out. In this sentence, "break out" is used instead of "broken out". Why??
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