darklight03/StackMIAsub huggingface dataset:
Simple question. How did the English word "possess" come to have a voiced "Z" sound for the first double-S? Are there any other words that have this? Doesn't double-S consistently mean an unvoiced S sound, across a number of Germanic languages, English included?
According to wikipedia page: https://en.wikipedia.org/wiki/Commuting_matrices, there is a characteristic for commuting matrices such that: If A has distinct eigenvalues, and A and B commute, then A's eigenvectors are B's eigenvectors. How to prove this statement?
It is possible to estimate the position and rotation of camara on xyz axis (both location and rotation) from vanishing points ? If so how ? I tried to search the web for an answer but i didn't found anything i could understand relatively easily (i am not at academic level in mathematics and English is not my mother tongue)
I recently learned that position vectors and spin vectors lie in different spaces, and the complete wave is the tensor product of both. I wanted to know that whether we can talk about commutation of spin and position operators. Can we talk about commutation of operators that act on different spaces? If so, how?
What I mean is that are there any elements which we can actually observe decaying into other elements, like a magical transmutation? Just like how a paper burns into ash.(or some other interesting chemical reaction) If yes, then please tell me about them.
The boy who will come to see you tomorrow will bring you that book. Can this sentence be changed to either of the following? a. The boy coming to see you tomorrow will bring you that book. or b. The boy to come to see you tomorrow will bring you that book. Which one would be the better choice?
I make my ice in those little round to-go containers that usually hold sauces/dressings. When using the clear containers, the ice sticks to it and requires heat or violence to get it out. When I use the black containers, the ice slides right out with no fuss. Any thoughts on why?
In the above text it is mentioned that the incident light ray travels along the principal section.But any ray which travels along the principal axis should not go through the double refraction. Then why the text says that the incident light ray split into two rays?
If two random variables does not have linear relationship then they are uncorrelated even if they might be dependent. I am unable to come up with an example where two random variables have linear relationship but are uncorrelated.
The following question probably philosophical and as a result maybe not fit here, but I consider it as a Mathematical logic question: "If there are no roads, then all roads lead to Rome." Is this sentence true or false?
I have studied science till school, but not in grad... so I might very much be wrong ... isn't the wavelength of sound waves larger than the dimensions of atoms? Won't sound waves skip over atoms?
Writing a differential equation for such a figure is an uncomplicated task. It can be accomplished by using snell's law. But the resulting equation probably isn't solvable. I put it in wolfram alpha and it didnt even show it's graph. May be not it's solution, but I'd like to see its graph at least.
I came across this in Khan Academy Integral Calculus. I am asked to find this integral... I did the substitution, and it made sense so far... Then, I was unable to figure how to solve the definite integral. This was their solution... Where did that sin expression come from? I am so confused!
In my thesis I have to cite the references in the style shown in the picture. I think it is more near to apa style, but not exactly same. Could anyone please guide how can I generate references in this format. I am using .bib file and working on overleaf.
If neutrinos are so easy to produce, but it rarely get absorbed or detected, doesn't that mean the universe will be full of neutrinos? Will its density ever reach a balance where its absorption events occur as frequently as emission events? Is the universe already reaching the balance or far from it?
I read some papers that study the global existence of a solution to a PDE. Sometimes, I found the notion of the "continuation principle". What do we mean by the continuation principle? any recommended references and thank you in advance.
Maybe this a dumb question, but, is the gravitational dilatation of time caused because a particle travelling through a geodesic in a curved space-time must cover a larger distance than the one travelling through empty space?
I'm interested in knowing if there is a name for a graph G where; Its vertices: Are a subset of the vertices of graph H. Are the terminal vertices of paths in H. Its edges: Are only incident to the terminal vertices of paths in H.
How would we use the phrase "under one's belt" if the subject is 'us'? Would it be "under our belts" or "under our belt" because it is an idiom? For example With a year of successfully running this company under our belt/belts...
I'm reading on Lie group and Lie algebras, but I am confused with the correspondence between them. Does any element in the Lie group correspond to an element in the Lie algebra (tangent space at identity)? If so (such as two-dimensional rotation), why is it only valid near the tangent point? Or is it just a convenience for the first-order approximation?
I am in a heated debate over whether to use "is" or "are" in the following sentence: "When I look into her eyes all I see is/are bright lights beaming energy through our path on eternity together." Please advise.
For progressive waves we define phase difference as difference in phase angle between two points. However for standing waves, the phase difference becomes something else. We say two points are in phase when they travel in the same direction and with the same amplitude. So why have the definitions changed here?
Diamond dust is a natural phenomenon that occurs when ice crystals form closer to Earth and interact with sunlight. Now diamond dust shimmers because of the reflection and refraction of sunlight. I know that the shimmering of light on water is formed due to specular reflection therefore I wanted to know if the same applies to ice crystals.
I was wondering if a graph existed because I used euler's inequality and it said that theres supposed to be a graph but im having a hard time figuring out what it is. Thank you!
The term is used throughout the literature but I was not able to find a definition or even a paper properly introducing the term. What does a Hamiltonian have to satisfy to be a parent Hamiltonian? An explanation or examples would be much appreciated!
I'm editing a flyer someone else wrote and I have the following sentence: Our storytelling series launches with featured speaker, Aloysius Firefly, professor of arts. I think ought to be "... speaker Aloysius Firefly, professor of arts." What do you think?
Does measuring the energy of the particle cause its wave function (psi) to change if psi isn't an eigenfunction of the Hamiltonian? quite confused about this one on when the wave function changes when taking a measurement and when it doesn't. please help :)
Why does it say "possibly empty" in the definition of bipartite graph? Wouldn't that mean that every graph is bipartite, moreover I don't think partitionins can have empty sets. Is this a mistake?
I want some good books recommendation on number theory. I self-studied a good chunk of calculus and I am self-studying analysis right now, and would like to start number theory. I also have a good understanding of mathematical proofs. So, any recommendations for good advanced books on the topic?
I would like to reference this fact (probability measures are closed under convex combination). I found this (for example, probability distributions are closed under convex combination) but I would rather want to cite a paper/textbook. I would be happy if someone could provide such a reference (ideally to a paper or a book for which a PDF is freely available).
I am writing a paper which I want to start with a literary quotation. How do I do this? It should probably appear above my name and the title. It is not "To be or not to be" but for the purposes of my question it might as well be.
I have been wondering about this little problem for a while now. Everyone understands that, in the binary, the opposite of 'man' is 'woman', and the opposite of 'gentleman' is, namely, 'gentlewoman'. However, from what I can tell, there seems to be no word that refers to the opposite gender of the word 'lady'. Any ideas?
i have already read carlo rovelli's 'reality is not what it seems' and lee smolin's three roads to quantum gravity, how should i proceed from here and what books do i read that balance theoretical approach with the mathematical approach, i was looking forward to a first course LQG and string theory should i go ahead with them?
Water at absolute zero is, I suppose, ice. At room temperature it's water. At a certain point steam. What happens to it as we approach infinite temperature? (what we might call "absolute" hot)
Does a charge moving freely in an electric field's direction, produce a magnetic field? If so, then why is energy conserved in cases of distance of closest approach? If there is a magnetic field it is non conservative, so how is this possible? I tried to find out but could not find the reason for it.
I have two different circles with their formulas, which intersect from different parts of themselves, how can I calculate the area of the intersection and the rest of the circles? Is there some way to do it without using calculus? And how to calculate that area, why? Here is the question, if you find a way, it doesn't matter the exact numbers:
How was the singular value decomposition (SVD) method originally derived? How might one discover decomposition this from first principles? Related Q&As that lend intuition to SVD but not derive or show how one might come up with such a decomposition: Understanding the singular value decomposition (SVD) What is the intuition behind SVD? (cross validated stack exchange)
Consider: "What are you up to right now?" "I hope to secure an appointment with her." As opposed to: "What were you up to just then?" "I was hoping to secure an appointment with her." Yes, I know it sounds "more natural." But: why does it?
What's a good way to make an interleaved layout having text blocks aligned to one side and images/graphics aligned to the opposite? Or in other words: Imagine a raster of a three column layout where the text spans over the left and center layout column and the images span over the center and right column.
There is the famous isomorphism theorem for measure spaces: All separable nonatomic normalized measure algebras are mutually isomorphic. what about an atomic normalized measure algebras? Is it possible to establish an isomorphism or a measure-preserving transformation from an atomic normalized measure algebra into the measure algebra of the unit interval? These theorems would be helpful in understanding my qeustion. Any help would be appreciated.
Simple question: what is the verb for the phase change from gas (or any other "regular" state of matter) to plasma? The best thing I can think of is "ionization into a plasma" but is there a nice, one-word equivalent counterpart to other phase change verbs like melting, boiling, subliming, etc?
The sun emits white light, which is a mixture of light from all frequencies. Instead, it should have emitted a beam of light of the same frequency, as the source is the same? So, can you please explain why the sun emits light in all frequencies?
Yes, I know this package can generate structure from .mol and SMILES files. I'd like to know: is it possible to follow the reverse path, i.e. once the structure has been drawn with chemfig, generate the .mol file and/or the SMILES?
Is it possible to draw a Braid like this? (with dots and vertical strands) I tried to use TikZ braids Package but on the documentation I don't see anything similar to this things. Thanks in advance
I recently wrote, on Stack Exchange, in regard to the books of the bible : ... Paul, Mark and Luke's contributions ... I did so instinctively and afterwards realised what I had done. Am I wrong to 'bracket' together without fully stating : ... Paul's, Mark's and Luke's contributions ...
Why doesn't water inside a glass enter a straw when you close the top of the straw before putting it inside the glass. Shouldn't the atmospheric and pressure of water push the water into the straw since I would assume that the pressure inside of the straw is the same as atmospheric pressure which is lesser.
I was reading my book and came across that sample median is unbiased estimate for symmetry distribution with finite expectation. I was able to proof this but is this true for Cauchy distribution? Since mean does not exist for Cauchy distribution. And how can I show that it's an unbiased or biased estimator depending on the result?
In this question here, it was asked whether a black hole could emit protons with energies exceeding the GZK limit via Hawking radiation, the answer given was yes. So I ask, what proportion if observed GZK exceeding cosmic rays could realistically have been produced by said process?
I am currently a physics and mathematics double major graduate student. Looking for a text book and problem sets on the topic of vector field analysis, would be best if the book is advanced and problems is difficult. Also with application to classical electrodynamics/
I'm studying Fourier series and i'm using Desmos to graph the results and it does look like its approximating towards a square wave but is there a way that i can just graph a square wave in desmos? and periodic functions in general?
I've been investigating book layouts for a project I'm working on and I found the title page and book layout from the art and practice of printing I have attempted to create this layout using memoir but to no success. How would I go about recreating this layout in Memoir?
It has been proved by the Red Shift that universe is expanding. But if the universe is actually expanding, it needs energy to do so. I also do not know that with expansion in universe if mass increases. My question is from where do the universe get the energy to expand? How does it not violate the law of conservation of energy?
I was trying to understand problem regarding finding the adiabatic modulus given the isothermal young's modulus. I'm still an amateur in thermodynamics. I just didn't understand the final step where the two adiabats are combined.
I'm in search of an online tool that can: Write both LaTeX equations, as well as normal text. Convert the document into an image and let the user download it Also the tool must be free, because why not!
I have been reading a lot of resources but it seems a little too difficult for me to grasp, I have no background in mathematical competitions and the activities in my college related to competitive math are really limited. Can anyone give me a list of books or pages to start from the very basics to build my way up to the real problems?
Relatively straight forward question I had after finishing a review of the ethereum yellow paper. How might one go about or is it even possible to formulate the general math behind a blockchain as a category with a set of objects (transactions, nonces, accounts), and a set of morphisms ( state change function, block validation function, etc).
Human Assets Development or Human Asset Development The second one has no "s" at the end of asset. Which is more natural, and is there a rule for this (for example, use a singular noun (human asset) when the noun is used in a phrase (human asset development)?
Today I learned several vocabs including "adhere to". Also the teacher said that "New rules are adhere to" is also grammatically correct and used normally. However, I think that it feels weird to me because it ends with preposition "to". Can anyone help?
The meme-y term "dummy thicc" uses "dummy" as an intensifier modifying "thicc" (meaning curvy). How common is this usage of "dummy"? How long has it been around? Is the etymology here related to the use of "stupid" or "crazy" as ironic intensifiers? (Wiktionary lists "Extremely" as an adverb definition of "dummy", but without quotes or other background.)
Is it correct to apply the word fellow to a thing, not a person? For example "fellow companies"? Definitions in M-W, Collins and Cambridge all point to fellow being applicable only to people.
I'm looking for ways to visually signify the links between turns in a transcript and found this which I think is a brilliant way to do it in a book by Erving Goffman. Is there any way to replicate this on LaTeX in a consistent way over a large corpus?
Here is a piece of text: But the historical pattern of warfare remains inconclusive, frustrating, endlessly cyclical. States persist in warfare because the mechanics of the balance of power rarely permit escape from it. [link] The first sentence confuses me (especially the words "inconclusive" and "frustrating"). Please tell me how you understand it? How can it be rephrased?
Can someone give a reference textbook, etc which explains / has examples for polar integration to calculate center of mass. (This is at the level of advanced pre-college physics, say for example the JEE entrance exam, so references that explain in detail are preferred. JEE does not have multivariable calculus. Will prefer refernces that use single integration. Simple shapes will do
Does the region surrounding a bar magnet have a greater abundance of virtual photons, or more energetic (but the same number) virtual photons when compared to a region further away from the bar magnet?
To show dilation in spatial relativity, is it accurate to do a "god's eye view" showing a top down view of both trains, or is dilation from one perspective alone (view from Train A or Train B)?
In the Blandford-Znajek Process (which is considered a potential mechanism to explain jets from AGN), the lorentz force is assumed to be vanishing (the force-free condition). But we see that the lorentz factor for the outflow is quite high. If there is no exchange of energy from the electromagnetic fields to the charged particles, how are these two facts reconciled?
Is the dual/opposite of a Heyting Algebra still a Heyting Algebra? What about locales? I don't see any obvious way to prove it but don't know enough examples either to test for counterexamples.
Is there a database or tool that gives all the STY and CLS files that are part of TeX Live or CTAN? I can do some basic web scrapping to retrieve this information, but I would like to avoid having to reprint the roll.
I am writing a stellar atlas and I am using the astronomy and astrophysics template in latex but when making a document the template makes an abstract without me asking. How do i delete the abstract ? (Template can be found on the website https://www.aanda.org/for-authors)
"The ample supplies have the government urging vaccinations not just for people at highest risk of dying from influenza, but for anyone who wants to avoid a week of aching misery." Original Posts Is "have the government urging" a causative structures like "I had John fix the car"? If so, why we use 'urging' here instead of 'urge' in bare infinitive form?
Is there an alternative description/characterization of the stable module category of Abelian groups? I guess that the category of torsion groups is a subcategory of it, but is it all of it? What is the structure of the image of torsionfree Abelian groups?
The context is to describe groups such as "Stop Oil" that claim to be environmentalists, but behave in such a way to garner disdain of environmentalists (like blocking traffic which forces cars to idle and pollute MORE while also pissing off the very people they should be trying to win over), and in turn, their cause.
I am trying to understand how to write the gravity-matter and gravity-gravity hamiltonians in terms of daggered/undaggered operators. Is there any pedagogic review paper on writing such hamiltonians in terms of combined annhilation/creation operators with corresponding coefficients.
I saw this many times but I don't understand why it is an improper subset. The power set has all the elements S has and more so they are not equal making them proper subsets and not improper ones no? Or it doesn't matter that much if I put proper subset or not here?
I was looking for a way to derive a fourth-order error formulation of a second-order derivative at the contact surface of two different materials. Say, solving a thermal diffusion equation with varying thermal conductivity and diffusivity. Thanks in advance!
In Russian, we say "to have one's bumps" when we mean that someone makes their own mistakes, thus getting experience and learning from their errors. Is there anything similar to that in English?
Here is an example: I have developed my ability to identify the factors that impact my physical, mental, and emotional health[,] and am beginning to apply this understanding to make informed decisions. Do you agree with the comma I would use (shown in brackets)? Why or why not?
It feels like the transition from a sea of probability of a droplet of precision (or wave, depending what you're looking for) would be a loss of entropy, if so wouldn't this violate the Second Law? Or does Heisenberg's insistence that we cannot ask questions about what happens before observation exempt it from such considerations?
I guess it's a straight line, which is the axis of a hyperboloid of one sheet, and the three straight lines on different surfaces given are a family of generatrix of this hyperboloid of one sheet
Obviously there is a limitation as to how well experimental configurations that depend on coincidence counting can efficiently remove the noise present at any given experiment. This leads me to wondering, how efficient are modern day coincidence counting techniques? A percentage of noise removed, signal to noise ratio, an evidenced estimation, or something of the like would suffice.
For the zeta function itself, I have been using the Riemann-Siegel Z formula implementation as written here: https://web.viu.ca/pughg/thesis.d/masters.thesis.pdf However, my searching skills have completely failed me on the derivative. Is there an algorithm that calculates the derivative that is relatively easy to understand, and/or doesn't involve too much computation?
I am completely new to ConTeXt and have just started to experiment with writing metapost directly within ConTeXt. In Latex , we use the tcolorbox macro package to achieve the effect of code on the left and output on the right, my question is, how can I achieve a similar effect in ConTeXt?
I'm starting to learn the memoir class to use it with a book I'm writing in LyX.I've read most of the memman docuement. When I create a new LyX document I can enter the title, but not a subtitle, half-title page, or the other front matter pages. Do I need to put all this in the LyX preamble? TIA, Rich
I am looking for books and papers that take a mathematical perspective on the physics topic of dimensional analysis. I am sure there are such texts out there. I would be very glad to know of any such texts.
It is not possible to have a process in which the entropy of an isolated system is decreased Does that mean, if we increase the volume of a gas, entropy of gas increases, now when we decrease the volume of gas to its original volume, the entropy of gas comes back to its original state, but the excess entropy is transferred to the surroundings?
Here's a Desargues Configuration with all points on a square lattice: Is there a more compact version, either on a square lattice or triangular lattice? Also, if there a less obvious Desargues configuration that's larger, but still with relatively simple coordinates?
I have proved that pseudocompact implies completeness in a metric space, which is, as I understand it, a step to proving pseudocompactness implies compactness. How do I show complete and pseudocompact implies (sequentially) compact?