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When am I supposed to use the terminology of EM "wavenumber", instead of "wavelength" (or frequency)? The concepts of wavelength and frequency are no problem for me, but wavenumber (number of wavelengths per unit length) seems redundant to me as a student engineer and proto-physicist. And then there's use of energy levels at higher frequencies.
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There is a nine digit number . If you delete the digit at its unit place the remaining number would be divisible by nine, if you delete the digit at its tenth place the remaining number would be divisible by eight and the process continues. all the digits of the number are unique...what is the required number?
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LatexDraw is a PSTricks code generator for Latex. LatexDraw generates PSTricks codes of any fugure are drawn. Are there any such tools that will generate pgf-tikz code of any figure for latex? If yes please suggest me. Thank you in advance.
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I considered 'self-proclaimed' but that, I believe, suggests an element of self-promotion (the proclamation aspect) whereas soi-disant, at least as I think of it, is more about self-presentation and in some contexts self-deceit.
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I'm writing a document where I had to change all instances of the variable i to x and the document is already considerably long. Is there a editor that will allow me to do this, or in general, replace text inside math environments?
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This is a follow-up to Do Lipschitz/Hurwitz quaternions satisfy the Ore condition? Jyrki Lahtonen answered the question in the positive by noticing that every right principal ideal in either ring has a non-empty intersection with the center. Does this property have a name? Has it been studied? Are there Ore domains without it? Are there cancellative Ore monoids that don't have this property?
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Backlog/noun an accumulation of uncompleted work waiting for you when you return from vacation . It's a pity that we don't have "forelog" as a word for work that is done to clear one's desk before a vacation. What are the some alternatives to define all the work that is done to clear one's desk before a vacation?
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I keep hearing about big bang, but there are no white holes and no black hole has been observed exploding. So is there a point in which a black hole reaches critical mass?
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I'm writing my PhD thesis in latex and learned a lot from this forum. However, I could not find an answer to the question how do I put an decorative hook before the chapter title. I think that it looks rather nice to have this but thats personal.
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What is the covariance matrix of the product of a random scalar and a random vector in general (if any) and in all special cases, in terms of the variance of the scalar and the covariance matrix of the vector?
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What is the currect research status of solving Navier-Stokes Equation, any up-to-date review/good paper on this topic? Or direct numerical simulation is still the best way to understand the complexity of turbulence? Thanks
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"I touched their forehead[s] with my fingertip." I'm not certaint whether or not forehead in this example should be singular or plural. There's a group of people, so obviously, multiple foreheads are being touched. However each individual person only has one forehead.
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Wikipedia says: Having an eigenvalue is an accidental property of a real matrix (since it may fail to have an eigenvalue), but every complex matrix has an eigenvalue. Yet, IMO, real matrices are subclass of complex ones. So, even without having any mathematical degree I see that this cannot be true.
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(I'm new to latex and don't know the right keywords to search.) I would like to put a header and footer lines to my figures (floats), instead a framebox, since they sometimes takes longer than a whole page. Any suggestions? I want the result to look like:
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The pulley is with a finite mass. The two blocks, hence, have different tensions exerted on the rope. My question is do the two blocks have the same acceleration ? I would like a reason for the same.
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In a recent question, it was stated that particles in high pressure air always flow to lower pressure. In a pipe with a constriction, fluid flows from from low to high pressure after the constriction. (From here.) How are these concepts related?
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let f:R->R What is the range of the function f I think it is(-infinity to infinity). But i am confused because p/q is in their lowest term. Can Someone please help me, Thanks in advance
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I'm looking for a word that means: bigotry against, or disdain for, uncouth people. ('Misanthropy' is too general, I think.) This would sort of be the converse of anti-intellectualism. By 'uncouth people', I mean people who (example) might casually toss litter into the street and not give it a second thought, etc.
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I asked a similar question about bubbles making less friction on a mass moving through water, now I'm wondering of sound waves could do the same thing as supercavitation or possibly create it's own propulsion with the right combination of frequencies.
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I was working in products of structures and I am trying to find a counterexample to the following: "the product of totally ordered sets is a totally ordered set." Unfortunately I could not find one. Can someone provide me with a counterexample?
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Should I use You are granted the choice to either be my friend or my enemy. or You are granted the choice of either being my friend or my enemy. ? It's for my poem and I want to double-check.
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I think the expectation is a function of random variables. I also know that a function of a random variable is a random variable. So the expectation is a random variable? But I also know the expectation is a constant. I am confused about this.
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Do all the planets in our solar system have the same angular speed? Physics teacher says yes, my research is not crystal clear. I want to make sure I have the right information for future reference.
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To explain the matter-antimatter assymmetry, CP should be violated according to Sakharov conditions. Charge conjugation is required as matter and antimatter have opposite charges but why Parity Violation? Is it because they have opposite chirality as well? Isn't it model dependent?
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Is there a term for a person who by local standards is normal in his/her behaviour? I mean a person who tends to like the same sports, same teams, same music, and same hobbies. Because in El Salvador people are like that, and I call them (in my mind) very generic, trivial, and boring.
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Let M be a surface M, i am concerned with Abelian covers. These are the covering spaces for which the deck group is Abelian. The largest such cover corresponds to the commutator subgroup of the fundamental group , in which case the deck group is the homology group. I would like to know how to construct it for a genus two surface.
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For as long as I can remember, I've only used the word 'delete' in a technological context. I'm fairly certain, most kids--or the generation before them--know exactly what the word means. Did this word get much use in other literary works?
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Is there an idiom or word for describing the moment or situation when governments blame some unknown power(s) for bad results caused by their own actions? These governments try to acquit themselves by blaming these nonexistent, external powers.
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I'm not sure, but I'm being asked to describe the set of points that are in this neighborhood of a circle with radius r. here is the only thing I can think of ...which is the equation of a circle with epsilons added to the y...It seems incorrect.
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In the context of the following sentence: "This report gives an overview of x, which took place between the second and final year of my degree from xmonth to ymonth." Should I be using the word year or years? I'm inclined to choose the latter, as I am referring to two years and not one.
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Why does "used to" mean "accustomed to"? Why is "used to" used to indicate a recurring past event? In I used to be used to using it. there are three meanings of "use". I ask about the etymologies of the two bolded meanings.
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What's that word meaning 'thus more strongly'? As in X applies to Y, and thus even more strongly to Z. E.g.: The body's immune system needs warmth, so adequate heating is good for you (and [this conclusion follows with even more force] for sick people) I seem to remember that there is such a word, and it's Latin, though I could be wrong.
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The Wikipedia article describing the electromagnetic stress energy tensor seems to suggest that this tensor can only be defined in flat space-time. How is it possible to define an electromagnetic stress energy tensor this way since any available electromagnetic energy/momentum must render the space-time curvature nonzero? How in practice would someone extract useful information with this stress energy tensor?
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What is the negation of this statement ? "The equation has real distinct roots" Is it "The equation has no real distinct roots " or "The equation has no real roots " or Is it "The equation has no real roots, but it can have real repeated roots"
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When I write something like this: I am a man that is doing these things. Is it correct to shorten it like this? I am a man doing these things. And does it require commas?
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So while I was solving this, I marked the correct answer as D, though the correct answer is claimed to be C. What I have read from different books is do not assume anything from the figures. So the solution assumes that the triangle formed would be a right-angled triangle, but it would be wrong to assume that, right?
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If you are applying to a school you are an "applicant". What is the word for the thing you're applying to? Similar to the sentence "the stalker stalks the stalkee", what would be in the blank in the sentence The applicant applies to the ______?
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I read this question in the sample questions section. It hasn't been asked yet, now I'd like to know. I have heard that regional dialects of English are often more closely related to provincial dialects because the comparatively well-to-do Londoner did not need or want to move to a strange new land and instead people from the countryside went abroad.
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I have to purchase some items. We have to tell how many ways are there to select N items of K types. However, the constraint here is we need to have at least one item of each type. How many ways exist?
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I know that a cone isn't a regular surface because I can't construct a chart with cts partial derivatives at its tip. But can anyone show me this last step rigorously? Why would any chart for the tip have a discontinuous partial derivative?
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Possible Duplicate: Put legend (pgfplots) below the plot I'm trying to set correctly the right position of the legend of my plot. I would have the legend just bottom right of my plot. Any idea? Using this code I got error legend style={ cells={anchor=south}, legend pos=outer south east, },
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Is is acceptable to use "different" as a preposition, as you would use "unlike" or "in contrast to", like in the following example? Thus, different from previous work, we aim to answer those questions.
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Hurry up and get ready for school. Don't be a slowcoach! Be a ______ ! What fits in the _____ ? Hopefully something other than fastcoach! I found some old discussion but nothing there seem to fit. Slowcoach (BrE) = Slowpoke (US).
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I'm going blank here, so forgive me for what should be simple. The search engines weren't helpful. I tried to search. Example: The finicky felines finished their food. I'm drawing a serious blank here, so go easy on me.
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I'm currently struggling which of the following two versions (I anononymized them) is the correct grammatical form for the title of a publication: Evaluating Safety, Cleverness and Fastness of Masking Systems Evaluating the Safety, Cleverness and Fastness of Masking Systems We are currently using the first version. Is it missing "the"?
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I'm doing some maintenance work on some software - whose original developers are unknown. There is a report called the "All Zingo Report", which basically dumps all the data for the primary "entity" in the database (the primary entity represents a person that has been referred to a government-associated medical program). Why would the word "zingo" be used to describe such a report?
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As far as I understand Everett's Many-Worlds Interpretation, he makes the case for a realist theory of QM at the enormous cost of many-worlds. Are there any arguments in favour of Everett's interpretation that makes the case for his theory one a purely instrumental or operational view - in that certain calculation look easier or more 'elegant'?
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OK, this is an attempt: I remained there, gazing at the sea. Its color was light green in the part closest to the shore, turned slightly darker in the middle, then abruptly changed to dark blue in deeper waters. Are those words commonly used? Or is there a better and simpler terminology to describe them?
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Why doesn't the volume of water in a nuclear fuel pool become irradiated? Why wouldn't the water around the pool become radioactive and circulate around making the whole thing deadly? My question spawned from this cartoon from XKCD. The Spent Fuel Pool
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I have some problem with "at the cost of" here. Does "light reveals itself at the expense of obscuring something else" mean: light reveals itself by lighting other things (because light itself has no physical presence and so is defined with its effects)? or light reveals itself by obscuring other things?
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What can we say about the quantum state from the number of zero and non-zero eigenvalues of the corresponding density matrix? Anything related to entanglement or any other properties? Does they vary with the nature of states such as it is pure or mixed? Please add some references.
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If one brings a fluorescent bulb close to a plasma ball, why does the touch of a finger cause the bulb to become brighter when touched? Why, when you hold the metal portion of the bulb, as opposed to the glass, does it NOT turn on at all?
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I was recently looking at automatic differentiation. Does something like automatic differentiation exist for integration? Would the integral be equivalent to something like Euler's method? (or am I thinking about it wrong?) edit: I am looking at some inherited code that includes https://projects.coin-or.org/ADOL-C as a black box.
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I want to use brackets similar to lceil, rceil and lfoor, rfloor, but with the vertical lines on both sides at an angle. Does anything like this already exist? If not, would it be difficult to create them?
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In manifolds and complex geometry there is this thing called the pullback. Usually when I see it, its going backwards on maps that are going forwards. I've been told that it is just a composition of functions. I just need help understanding this concept.
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Could you give examples where one is better suited than the other one? Or are they completely synonymous? (I'm not a native speaker.) Update: I'm writing a piece software documentation and I wonder if it's better to use choose or opt: ... Note that these components can receive input themselves (although they may opt/choose not to). ...
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I am writing my M.Sc. thesis in biochemistry, which has mathematics. I am new to latex, but I am greatly interested in it. I am watching/reading tutorials but was wondering if the community could recommend a good set of video lectures/pdf to write a document such as a thesis? Thank you very much for your time!
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I used the code from here to get text to wrap around images, but whenever I have a long image near the end of the page, it runs off the page and gets cut off. How do I fix this?
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My navigation bar at the top of each slide (that links to each section) has too many sections. I would like to keep the bar and keep each section but I would like to wrap it i.e. have it on two lines. Is that possible? I am using compress and I am using progressbar as a theme.
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The moon shone on his face as he spoke, and the girl was pleased to watch it, it seemed to breathe such an innocent and old-world kindness of disposition, yet with something high too, as of a well-founded self-content. What does this "as of" mean here? I would need a sentence structure explanation.
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Someone just told me that writing "it makes me happy" is incorrect in its sense not in grammatical aspect because "it" is "not human" please help me, is it okay to write "it" with "happy"? I am learning English so please help me.
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I am looking for a similar solution as here Description list with aligned descriptions except that I want to use it with beamer. If I use enumitem with beamer, inner theme is replaced by enumitem. I do not want to use enumitem because of this problem. Is there any alternative package or solution which works only with description? Kindly suggest.
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during a lab experiment, i noticed that a metal ball has a much harder time rolling on metal rails when their is a current passing through it and the rails. I was wondering why and if there was a name for this force. Does the fact that a current passes "pull " the balls towards the rails and increases friction? Thanks
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this may look like a duplicate question to this one and many, but really I had a hardtime in finding the desired solution. The breaklines=true didn't work as it breaks the long command. Hence simple copy and paste doesn't work, because when the code is pasted in terminal it gets split over many lines with preceding angle brackets > .
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I've read anything getting close to a regular black hole would experience spaghettification but not when you get close to super-massive black hole. Is there a point of "peak spaghettification" where the mass of the black hole exerts the greatest tidal force? Or, have I misunderstood something along the way?
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Do quantum probability and free probability mean the same thing - that is, they deal with noncommutative random variables? What about quantum measure theory? Is quantum measure theory the foundation of quantum probability (kind of like measure theory is the foundation of the classical probability theory)?
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A father's age is now five times that of his first born son. Six year from now, the old man's age will be only three times that his first born son. Find age of each.
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This is my sentence, and I was hoping to make it sound more academic: The aim is to ascertain whether or not the actors from the two films analysed can be considered to be heroes Is there a better, more academic way of saying 'whether or not'?
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Imagine that you would like to write down your passwords or other critical information into a sheet of paper. Could an algorithms without using a computer be so good as to avoid people of cracking it? There seems to exists some secret code messages that weren't discovered for centuries. So, theoretically it sound plausible, but how would I proceed?
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It is remarked by some text book that according to definition of absolutely continuous functions if the finite sums in the definition are replaced by the sums of (infinite) countable items, the assertion still holds. But I don't know why, even I understand that the number of the finite items is arbitrary. Any comments are welcomed. S.C.Liu
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let say that we can detect the wavelength and frequency of radio wave then can we detect that from where these radio waves are coming or from how much distance these waves are coming?
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If I am given the position vector of a particle at any time, how can I know if the particle spins clockwise or counterclockwise? UPDATE: Maybe I should have said that the particle is moving in cirlces.
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Would a switch of the word 'assistant' and 'manager' cause differences in a universal corporate context? In my opinion, assistant manager is just a rank below a manager. This seems to apply to manager assistant.
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The name of the city of Sodom is the etymon of sodomy. Question: Are there words in English for which Gomorrah is an etymon? According to Online Etymology Dictionary the unit omer is related to Gomorrah. Beyond this I haven't found other words that are, at least, related. It would be interesting to know.
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This is the only similar spelling mix-up in English that gets me every freakin' time. I can never remember which is which. One is a mathematical notion; the other is a nice thing to say. Does anyone know of any clever mnemonics for complement / compliment to get this one straight?
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Compact Linear Operator is defined such that the operator will map any bounded set into a relatively compact set. Why is this property so special that it can be named as "compact"? Does it share some similar properties as compact sets? What is the motivation to define and study such a set?
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Just saw the definition of word miss from some web dictionary, which says "to fail to hit, catch, etc something." I suppose this could be written as "to fail to hit, catch, or do something alike something." Does that etc mean, technically, "or many other things alike"? How? Doesn't et mean "and" in Latin?
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So the way I understand FG-modules is that it is analogous to a vector space defined over a field F with G a basis. However, I encountered a problem given the hypothesis that V is a possibly infinite dimensional FG-module where G is a finite group. I am confused how you can have a FG-module when your "basis" G is finite?
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Hounds tend to "bay" rather than "bark". When a dog barks, you can say "he let out a loud bark". In a similar construction emphasizing the hound-ness of the creature, can you say "he emitted a loud bay that echoed through the chamber"? Or would it be a bark regardless?
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Just a book problem I need help on: A letter is picked at random from the alphabet. Find the probability that the letter is contained in the word "house" or in the word "phone". I know this problem has something to do with mutually inclusive?? Would be great if someone could explain this to me Thanks!
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There are quite a few modern sans-serif humanist fonts, slab-serif fonts and other interesting Google web fonts. How do we typeset in LaTeX/PDFTeX/LuaTeX/XeTeX using them? Is there a way in TeX to call fonts like the Google fonts directly from their CDN URI? Are there any packages like Michael Sharpe's package that covers these modern fonts?
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Why do we feel tired while running as during running we are increasing our kinetic energy. I understand that the energy inside us(from food or something else) is being converted to KE while running but when we stop to which form is this KE converted???
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I understand how to use the theorem environment in LaTex and would like to know if there is a similar environment for postulates or how I can make an environment for postulates on my own.
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The title basically explains everything. The OP is an independent learner, who in the current stage sets S.S.Chern's proof of the generalised Gauss-Bonnet theorem as the goal. But what is the prerequisite knowledge of reading his two papers? I'm afraid basic Riemannian geometry would not suffice.
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Show by a counterexample that the following "converse" of Theorem(A subgroup of a cyclic group is cyclic) is not a theorem : "If a group G is such that every proper subgroup is cyclic, then G is cyclic."
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In a standard poker game (no wild cards), suppose you are dealt five cards and your hand contains exactly one pair. You trade in the three worthless cards for new ones. What is the probability that your hand improves? meaning that there is a substantive transformation from one "kind" of hand into another
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Is it hard to calculate the coordinates and zoom factor that was used to generate a fractal image of, say, the Mandelbrot set? If you know the rest of the parameters, like how many iterations where used, in generating the image.
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I'm reading Srednicki's QFT textbook. I'd like to do some projects that put the content learned into actual use. Is there any good project topic? I don't mind if it's already worked out some where. I just want to experience the process of actually putting QFT into use, or simply relating the textbook knowledge to more problem-oriented situation. The textbook problems are smaller drills.
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I am a beginner of Fourier analysis, but my major is economics, I have not much of idea about frequency domain. My question is, since we have whole set of theory to work on time domain, such as time series analysis and stochastic process, why we need frequency domain.
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Earlier I wrote a sentence that happened to end with a plural possessive. Is this OK to have? For example, "I got the guys' costumes, but not the girls'." looks odd to me. It would be easy to reword or simply add costumes at the end, but is it grammatically correct?
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As we know, the Ky Fan norm is convex, and so is the Ky Fan k-norm. My question is, does this imply that the difference between them is a non-convex function, since it results from "difference between two convex" functions ?
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We see Rainbows many times, but we always see them Horizontally or from Sideways. Why can't we see it from under it?/From the point where it starts or ends(end points)? I also want to stress on that, I am asking on viewing part and not about the formation, reason, causes of a rainbow.
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Finite groups and finitely generated groups are intensively studied, but are there interesting investigations on non finitely generated groups? I already know some references for abelian groups, so I am rather interested by nonabelian groups; are they nice enough to hope general results? Maybe are there interesting links with set theory?
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I have a current waveform from my circuit which goes up and down the x-axis. x-axis represents time and my y axis represents current. How should I calculate total area under the curve? Should I take the absolute for negative part of current or just waveform integral will work?
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If you consider them as laws, then there must be independent definitions of force and mass but I don't think there's such definitions. If you consider them as definitions, then why are they still called laws?
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Can someone please show me how this works, i'm going out of my mind I know the truth tables for the individual AND, OR AND NOT but when it comes to them being combined my understanding is shattered into pieces =/
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Is there any group with the non-trivial frattini subgroup such that the intersection of the Frattini subgroup and the commutator subgroup is trivial? Expect the groups can be constructed by the direct product of two groups; an abelian group with the non-trivial Frattini subgroup and a group with the trivial Fratini subgroup?
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With literary or historical references, what phrase would an English-speaking monarch have used to indicate to either their attendants or to their court that they were in need of using the toilet facilities?
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Do these three words mean the same thing? From my understanding, discordant means not agreeing or out of tune. This is similar to non-concurring (as concurring would mean agreeing on something). Also, controversial means something which gives rise to disagreement. How do I understand the subtle difference in meaning when the wors are so similar?
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Given this sentence: I look forward to learning new subjects and contributing to teaching them, (to?) facing new and diverse challenges, and (to?) producing outstanding work. My instinct is that I can omit the second and third to, but can someone please confirm and explain?
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