darklight03/StackMIAsub huggingface dataset:
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?"
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?
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.
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?
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.
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.
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.
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?
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?
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 ?
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)
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
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?
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.
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?
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?
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.
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:
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)?
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.
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?
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.
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?
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.
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?
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?
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??
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?
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?
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
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?
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.
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?
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?
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?
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!
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 ?
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.
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?
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.
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.
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.
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?
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?
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.
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?
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
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))?
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?
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?
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?
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.
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.
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.
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.
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
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?
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.
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
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?
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?
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??
Ou high-school professor told us that a time varying magnetic field in a cylindrical region produces a sort of circular electric field which is Non conservative in nature, because Electric field varies radially, however, I fail to understand why that is the case.
Knowledge hoarder and information hoarder refers to a person who keeps knowledge/information only for themselves,I am looking for a term that can be used to a person who gathers knowledge/information,like a common hoarder but they hoard knowledge or information
Why do we get a null point in potentiometer or meter bridge. I mean the battery is connected so current should keep flowing through the circuit. So why do we get a point where no current is flowing as the battery is connected
Is usage of "thereof" in a title: Confirming feasibility of attack and investigating improvements to range and reliability thereof correct? My intuition says it is not, but it would be a pity if this is the case as I don't want to make the title overly verbose.
Can I have another phrase for the sentence/phrase; He is a very easy person to scare. Please I need this because I am writing a story which I'm going to produce when I'm finished...
Is objectual a word? I could not find it in Merriam Webster. I am trying to use it in a sentence like this: A phrase signifies the objectual nature of thing in question. Would I be stretching the grammaticallity of the word object?
What is the word for doing something where said thing is a protest against what you are doing? Example, posting a facebook status that pokes fun at people copying and pasting statuses and sharing them however by posting this status you're doing the very thing you're speaking against.
I have seen a video on YouTube on channel Vsauce about the flat earth belief. There he claims that walking to the edges of this flat earth would be difficult. Something like going up an acclivity. Is this claim true and if yes why? Any answer containing maths would be useful.
I was reading mobility in current electricity and there it was written that the direction of conventional current due to positive and negative current carriers is in the same direction but I cannot understand how and why?
I am currently starting to work on LED but I am confused how can I calculate the external quantum efficiency for my LED? like I know the basic idea, I want to know what experimental setup should I used for my LED and how? In my Lab we have Raman spectrometer with CCD detector.
I understand that matrix is a linear transformation of a vector space and matrix multiplication is applying one transformation over another. I couldn't get a geometric intuition as to why multiplying matrix by its transpose give covariance matrix.
Is there a way to run the --shell-escape command for the LuaLaTex engine in Texshop? I know there are editable TEX and Latex commands in the Texshop settings under Engine->pdfTeX settings, but I do not see anything for the LuaLaTeX engine.
In the Born-Oppenheimer approximation, the effective potential energy, is the potential energy that an electron gains when considering all the inter-particle interactions in a molecule? Said in another way, which particles do experience this effective potential? Is it correct to say that the effective potential is the intrinsic molecular potential energy?
Has the double slit experiment been executed with a proton beam? Electrons and photons seem to get all the attention. What about a particle with positive charge, and one said to be composed of multiple charged entities?
Can someone please explain how the boundary points on a circle are also extreme points? If i take a point inside the circle and one point on the boundary, I can take a convex combination of those two to get a third point on the boundary?
I did part a and b but for part c does the fact that when those three vectors are added gives the zero vector does it mean that they are all perpendicular to eachother? So therefore they would all have the same cross product?
If we have a sealed piston-cylinder with gas inside and we heat it from the outside, the temperature changes. At the same time, if we look at it as a control mass system,the volume increases as the gas expands. Mass remains same. Hence specific volume changes too. So how can temperature and specific volume always be independent?
Can someone give me a strict defenition of a constant sheaf. And I need a nice reference for supermanifolds. Second, concerning the commutation of the pullbacks with the restrictions, how cna I check that in the special case where each of the sheaves is a subsheaf of the sheaf of continuous functions, then the commutation is indeed satisfied.
As generally known, FWD cars are more stable than RWD, but I don't know why and I couldn't find the reason. Can anyone explain me with physics concept? Additionally, I also want to know why driving experience of RWD is generally much better(comforter) than those of FWD.
The compression of a gas produces an increase in temperature and therefore greater kinetic energy of the particles due to the exchange of momentum between the piston wall. Is this transferred energy also capable of producing a sound wave?
Where does the interior Schwarzschild metric come from? How is it derived and why does it have NOT a singularity? Would it mean that the singularity is only apparent and for those out of the black hole (who are ruled by the usual, exterior metric)?
What is the word that means the area of work where someone has experience and knowledge? It should be similar to major, but major doesn't include the work/training expertise that you may have acquired beyond college.
I am planning on doing some personal studies and some poster research for some future conferences in Homological Algebra, does there exist a current list of outstanding problems in the field of Homological Algebra?
If the eigenvalues of a matrix all have positive real part, must the matrices diagonal entries all be positive? This is true of symmetric matrices, however I'd like to know if this result holds more generally.
I have asked to find the condition such that the lines joining focii of an ellipse don't subtend right angle at any point on ellipse.. pllz tell me the condition which i have to apply btw the two lines.. whether in slope format or another.. I am a high school student and suffering problem in this question plzz help..
Consider this sentence. X studied fault structure using method A. Y studied fault structure using method B. However, the geometrical complexity of a fault remained poorly understood. Do I have to use 'remains poorly understood' or 'remained poorly understood'?
When calculating the presence of soliton or anti-soliton in the extreme dimerization polyacetylene SSH model, we say that in the case of open-boundary condition and odd number of atoms, we must have an edge soliton. But why is that the case? I understand that we must have a soliton, but why is the edge mode preferred over the bulk case?