snippet stringlengths 143 5.54k | label int64 0 1 |
|---|---|
I'm using latexdiff to highlight the differences between two versions of a tex document, using the default style which is UNDERLINE. This style formats added text in blue with a wavy underline, and removed text in red with a strikethough. I'm interested in formatting the output such that added text is in blue but witho... | 1 |
I'm looking for an equation that looks like the image below. I am comfortable constructing functions that pass the vertical line test, but as this is a relation, I am not really sure how to start. Would this need to be defined implicitly? An explanation on how you constructed it would be great as well! I should note th... | 1 |
Group theory is all about symmetries. Can this be seen from the axioms defining a group? Or equivalently can the group axioms be motivated from this point of view? Of course one can look at several examples and check that the group axioms are fulfilled, nevertheless this doesn't make clear why the axioms have to be pre... | 1 |
A few years ago I read a short little article about how big our eyes would have to be to observe microwaves (or any long-wave radiation for that matter). I don't remember enough about the article, or know enough about observing EM waves to reconstruct the equations, and I can't find the article again. So my question is... | 1 |
I am currently doing a one semester course on groups and rings where we have learned about (so far): Definitions of groups, subgroups, cyclic and normal subgroups, the symmetric group, homomorphisms, isomorphisms, The Correspondence Theorem, Product and Quotient Groups. As of yesterday's lecture we learned about the Fi... | 1 |
I've noticed people use (in speech) the word godness for "feminine god", e.g.: Oh my godness! However, in classic texts it is goddess, e.g. Shakespeare's "King Lear": Hear, nature, hear; dear goddess, hear! Suspend thy purpose, if thou didst intend To make this creature fruitful! Into her womb convey sterility! It is m... | 1 |
I am trying to understand pure and mixed states better. If I have N quantum particles in an isolated system. The many-particle state is a superposition of the product of single-particle states by the appropriate statistics (bosons, fermions, or distinguishable). Would this state be still considered pure since there is ... | 1 |
I have studied that topologically equivalent metrics produce the same open and closed sets. They also produce same compact and connected subsets. Does it mean that topologically equivalent metrics have same open, closed or compact subsets? In what context topologically equivalent metrics differ from each other? Intutiv... | 1 |
If you were going to teach you kids programming and asked me what book to use as a guide, I would recommend you either Java programming for kids or Python for kids. But what if I want to teach kids math including derivatives, integrals, differential equations, set theory, etc? What book can provide me with a road map I... | 1 |
I am a beginning graduate student with (almost) no background in algebraic geometry. I would like to learn the proof of the Riemann hypothesis for curves over finite fields, including all prerequisites. I am looking for books to get me there. I am not necessarily looking for the quickest way, but rather for self-contai... | 1 |
This question is related to another question. If we have a Riemann surface with punctures of negative Euler characterstisc, how can one define a complete hyperbolic metric? I know that in this case the universal cover is the hyperbolic plane and it has a complete metric. Do we project this metric to the puntured surfac... | 1 |
I'm not sure of the name of this problem so haven't really been able to research it. I have a complete weighted graph with a start and end node and n distinct sets of nodes (lets call them red, blue and green), each with m member nodes. I need to find the shortest path from start to end and must pass through exactly on... | 1 |
Let's say for example: Two people sing the same note (frequency) and volume (amplitude) together. Why is it that the two persons sound louder than they would individually? I would imagine that since the traverse waves generated by the two persons would randomly be louder or softer, based on the phase shift between the ... | 1 |
What is the exact word for someone who always pretends to be nice to someone's face but makes fun of them behind their back? When they are talking to you, they'll treat you very well, like a good-mannered person. They care a lot about their image in front of others and show a positive image of themselves in front of an... | 1 |
How do you say to someone that you will reuse a sentence (or a joke) you've just heard from them, as-is, because you liked it a lot ? In Italian we say "Questa me la rivendo", that translated is "I'm gonna resell that one" (ri-vendo / re-sell is the idiomatic part, the other words could be recombined / replaced). I can... | 1 |
I'm looking for a noun for a person to convey two things: their particularly keen appreciation of aesthetics, and their ability to create aesthetically appealing objects. For example, Steve Jobs. A man with a famously keen sense of what is beautiful, at every level, be it user interface design, the connectors on cables... | 1 |
I work for a client at the rate of X USD (United State Dollars) per hour. Recently, he accidentally paid me at the rate of Y USD per hour. Y is greater than X. I notified him of his mistake and he replied with the following sentence:- Go ahead and keep the difference to be applied to the next round of work you do for u... | 1 |
Recently I've wondered about two idioms which have a strange relationship. Come Hell or high water and Lord willing and the creek don't rise Grammatical accuracy, alternative formulations, and questionable folk etymologies, and literal meanings aside, why do these two phrases (often used interchangably) have such diffe... | 1 |
I always have doubts whether to use a singular or a plural noun when I refer to certain peoples. For example, we say Americans, Italians, Brazilians, Russians and Austrians. But we say The British, The English, The Portuguese, The French, The Spanish, The Chinese, and The Irish. When it comes to those nationals I rarel... | 1 |
I have come across many hand dryers that attempt to dry your hands really fast after you wash them. Here are two of them: XLERATOR http://www.exceldryer.com/ Dyson Airblade http://www.dysonairblade.com/homepage.asp So I guess I have a ridiculously high standard cause I think even these are too slow. Would it be possibl... | 1 |
I am a high schooler who really likes math, and I am interested in pursuing it in my undergraduate years. I have a basic facility with proofs, and I am currently exploring several different areas of math (analysis, graph theory, and topology). I am interested in seeing if I can contribute to mathematics even if it has ... | 1 |
Prove or Disprove: If V is any vector space and with an orthonormal basis B for a subspace W of V, then V has an orthonormal basis C with B as a subset of C. First Question: Can you have an orthonormal basis for any vector space or can you only have an orthonormal basis for inner product spaces? Second Question: Does i... | 1 |
I always find it difficult to discuss the meaning of a word because I don't really have a definite meaning of word in my head. Cook refers to the verb (to cook) but it can also refer to the noun (a cook). Would you say cook is one word with multiple meanings or that the verb and the noun are separate words? Is a word s... | 1 |
I'm trying to come up with some math problems (word or otherwise) that get to the meaning of adding zero, but I'm getting stuck because it seems just too simple to me. I have come up with questions like "John is having a birthday party and he invites five friends over but nobody shows up. How many people are at the par... | 1 |
As the title says. For example, if I take a fat metal wire with non-negligible thickness, and then wind it into a spiral, but such that none of the parts touch one another (there are no topological 'holes'), then if I add a charge to the wire, would it equally distribute over the wire? Or would the charges from neighbo... | 1 |
Outside of your field of research / application, how much of your undergrad education have you retained? Thought experiment: How would you fare today if handed old exams from your introductory topology / number theory / differential equations / whatever classes? No studying or preparation. I've always wondered how much... | 1 |
In Mac OS X, the home/end keys per default throw you at the beginning/end of the document instead of the beginning/end line. I have changed my system key bindings to get the latter, "usual" (Windows- and Linux-like) behavior. However, texmaker seems to ignore this setting. It is horribly distracting when I have to sear... | 1 |
On the new Astronomy.SE site, I was having a short discussion on one of my answers. The basic discrepancy was; can MACHOs like black holes/brown dwarfs/neutron stars be termed "dark matter"? My reasoning is that these objects do not radiate EM radiation on their own but they do gravitate, and thus constitute a small pa... | 1 |
It is quite common to hear in newspapers and television about the increasing temperature, i.e. global warming. But I am interested in something else. How does global warming affect the internal energy of the earth, or else how does this change the gravitational potential energy of a point mass and the earth? This is a ... | 1 |
In my school and university I was taught to say "Not at all" or "Don't mention it" in response to "Thank you!". Now I rarely hear these phrases used, but rather something like "You're welcome", "It's OK", "My pleasure", or "No problem". My real life conversation experience is very poor. I often listen to some English l... | 1 |
Are there any big controversies in contemporary mathematical research? Other domains contain big controversial research topics (for example string theory in physics). The specific nature of mathematics however, makes me suspect that there isn't much room for any serious disagreement, or at least less room in comparison... | 1 |
If for some reason I want to create the lightest document (in terms of the weight of the output file, not the font), what would be some good practices? Specifically in terms of: Packages: do they add significant weight to the file? Are there some which are particularly heavy? Graphics: should they be EPS, PDF? Some oth... | 1 |
From The Assassination of Jesse James by the Coward Robert Ford: Ed Miller: I was with a girl once. Wasn't a squaw, but she was purty. She had yellow hair, like uh... oh, like something. Dick Liddil: Like hair bobbed from a ray of sunlight? What does bobbed mean in this context? I guess it means "cut", but I would like... | 1 |
I am aware of the idiom like a fish out of water. What intrigued me is an article using like a fish takes to water. Teo Zhen Ren, the swimming sensation from Singapore, took to swimming like a fish takes to water. Is like a fish takes to water a valid usage? Is it an idiom? I thought the usual phrase was like a duck ta... | 1 |
Is there a systematic treatment of (finite dimensional) manifolds with corners in the literature which carefully introduces all usual differential topological notions (submanifolds, embeddings, etc.) and which includes proofs of the usual statements in geometric topology like the existence of collars or isotopy extensi... | 1 |
I have to translate a Washington Post article on Trump but I cannot understand one part: It's post-policy politics. It's about having the right feelings instead of the right proposals. Now, that doesn't mean that we shouldn't point out when he's contradicting himself or when his plans don't add up. But it does mean tha... | 1 |
It's logical to think that the time it takes a microwave to heat the food would be proportional to the mass heated. But since a microwave is based on dielectric heating, I think that if you increase the mass of food there will be more water, which will heat the food faster (due to thermalization). Is this reasoning rig... | 1 |
If I had a rigid body, such as a wardrobe, so that its centre of mass is above the ground and I tilt it slightly. I have read that the normal force of the floor on the wardrobe must be equal and opposite to the weight of the object as we have no translational motion. However if I let the wardrobe topple over, its centr... | 1 |
Why doesn't a plane wave solution represent a single photon? And what is meant by the quantum-mean field being zero? EDIT: This post is an extension to a previous post I made asking about the photon in QFT. I was asked by the person helping me to start a new question so he can respond in the form of an "answer" post an... | 1 |
The mechanical advantage is given by MA = Load/Effort which is quite universal (at least in my short experience with them). However when i reviewed over the mechanical advantage of simple machines, especially levers , the formula for mechanical advantage stunned me, instead of MA = Distance of Fulcrum to Load / Distanc... | 1 |
There must be a name for this sort of after-the-fact non-argument. Sorry, this is the only way I could find to describe it. Debbie finds a kitten. Kitten has been burned over half its body, but it's alive. Debbie says, 'The kitten wants to live!' and takes it to a vet. Bob says, 'The kitten is suffering and will contin... | 1 |
In a crystalline solid each atomic level 'splits' into n levels (n = number of atoms in the system). When the number of atoms is large each level becomes replaced by a band of closely spaced levels. In a semi-conductor we have an empty "conduction band" and a fully occupied "valance band". Conductivity arises because e... | 1 |
According to the popular Solar System formation models, what are the bounds on the Gas Giants' cores (note I am only interested in the bounds for our Solar System). For example according to Wikipedia on Jupiter Assuming [a core] did exist, it may have shrunk as convection currents of hot liquid metallic hydrogen mixed ... | 1 |
I have two books on algebra where one makes the definition of isomorphism to be a bijective homomorphism, while the other makes it as an injective homomorphism. I am doing the exercises from one book and learning from the other (not optimal I know), and so I am wondering what definition is considered the convention. If... | 1 |
I'm trying to draw a chain of arrows going under and above each other, as depicted: The issue isn't labelling the arrows, I can easily do that, but I don't know how to get them to curl, have the arrow head in the middle (ideally, though not necessary), and have one on top of the other. Any help is appreciated. If a sol... | 1 |
I'm having trouble with a problem in Propositional Logic Using induction I am supposed to show that if a well formed formula (wff) X has no repetitions of sentence letters then X is invalid. The hint in the back of the book says "Instead of trying to show directly that every wff without repetition of sentence letters h... | 1 |
It is well known that the Lagrangian of a classical free particle equal to kinetic energy. This statement can be derived from some basic assumptions about the symmetries of the space-time. Is there any similar reasoning (eg. symmetry based or geometrical) why the Lagrangian of a classical system is equal kinetic energy... | 1 |
After a hot shower, the mirror in my bathroom steams up. When I try to clear it with a towel, it immediately refogs. Yet once I use my hair-dryer, it will clear the fog and the mirror will stay clear. I'd like an answer to the mechanics behind this difference. I suppose it got something to do with the heat, and maybe t... | 1 |
I can see this is true for the sum of two roots of unity with some basic trigonometry (the resulting argument is the half the sum of the original arguments, and so must also be a rational multiple of Pi) but trying to extend this method to the sum of more than two doesn't seem to work. Is there some other way of showin... | 1 |
I am studying Hyperbolic Geometry. At this part, I have proved that semicircles and straight lines orthogonals to the real axis are geodesics in the hyperbolic plane. But how I proof that this geodesics are uniques? That it does not exist others geometric places between two different points that minimizes the hyperboli... | 1 |
I need to show through a proof that the set of nonnegative numbers is denumerable I know a set is denumerable if its members or elements can be put into an order and counted. I am supposed to show this through a proof as well. I was considering using Induction possibly but I'm not sure if this is a viable or feasible m... | 1 |
I have a rather large text file that I'm trying to convert into a table. I'm pretty new to Latex, so I was using this other answer from this site as a guide to help me: save table on a separate file and I got some great results, but I realized that my table needs to be split up across many pages, which they say to use ... | 1 |
We know that gravity affects time. More the gravity, slower the time, and vice-versa. Now consider a hypothetical condition where two people are walking next to each other. One person is subjected to a lot of gravity and the second person to a lot lesser. How would first person see motion of second person? Since time w... | 1 |
In the phrase 'in the field instead of behind a / the desk', would you use 'a' or 'the'? It seems to me that 'the' is the more sensible option, as English has other expressions of the 'the N' form which denote an activity associated with the object referred by the noun, e.g. the bar as signifying the legal profession, ... | 1 |
According to general relativity, inertial mass and gravitational mass are the same, and all accelerated reference frames (such as a uniformly rotating reference frame with its proper time dilation) are physically equivalent to a gravitational field of the same strength. Refer: Einstein's thought experiment of a Physici... | 1 |
A chain of some mass, forming a circle, is slipped on a smooth cone. If we consider an infinitesimally small section of the chain, a component of gravity will try to accelerate it along the surface of the cone. So there must be some tension in the string that prevents the acceleration. What will be the direction of the... | 1 |
In mathematics, we talk about tangent vectors and cotangent vectors on a manifold at each point, and vector fields and cotangent vector fields (also known as differential one-forms). When we talk about tensor fields, we mean differentiable sections of some tensor power of the tangent or cotangent bundle (or a combinati... | 1 |
Let's say you wanted to calculate, for example, the average (i.e. mean) cost per day for a hotel to accommodate a tourist. If only aggregate cost data is available, is dividing the average cumulative cost for one person's stay by the average person's duration of stay an acceptable method? Would using the median cost an... | 1 |
Richard Feynman showed that Quantum simulation on a Turing machine will have an exponential slowdown. If that is so, does this put quantum simulation outside of P (complexity class)? I thought quantum simulation was polynomially possible on quantum computers, but there is still no proof that BQP is strictly bigger than... | 1 |
So I was wondering about the event horizon on a black hole. And wondering if the point of no return for radio waves vs gamma rays would be different. I guess the logic being, since gamma rays have more energy than radio waves, their point of no return might be different. But I'm not sure if gravity has the same affect ... | 1 |
I was watching a Physics TV show, When someone called Alex Filippenko said that when there was the Big Bang, the Space extended at a speed faster than speed of light. He said that it wasn't against the Theory of relativity because space isn't a particle and can go faster than speed of light. So I wanted to know if that... | 1 |
I've been reading my Stewart Calculus book and I honestly find most of the coverage of sequences and series easy to grasp (excluding power series, Taylor and Maclauren since we haven't covered those just yet). However, when the book guides me to a test to use to solve a problem I don't have an issue, but if I'm given a... | 1 |
I have been interpolating cubic splines to some data, but it is now clear that I need my curves to be monotonic. Wikipedia and StackExchange sources describe how to impose the monotonicity condition while fitting with cubic Hermite splines. However I need my splines in B-spline form and I'm not sure how to translate fr... | 1 |
I would like to write a sentence to thank a number of colleagues. I would like to express the idea that it was a pleasure to spend time with them. Which of the two sentences below is better? I also take this opportunity to thank a number of colleagues with whom I had the pleasure of spending time these past two years. ... | 1 |
if I make a circuit with a battery and a capacitor (with a dielectric inside), how it is possible to get a current in the circuit? If electrons go from one pole of the battery and they arrive to one plate of the capacitor they cannot flow to the other plate of the capacitor because the plates are separated by a dielect... | 1 |
I have been told that industrial mixing machines (say, for cake batter) switch directions periodically, first stirring in one direction, then the other, because this mixes the material more thoroughly. I imagine (but don't know for sure) that stirring in only one direction will tend to create helical structures in the ... | 1 |
I am thinking of a (greatly simplified) computer simulation of a universe that followed something like Newtonian rules. Inside the simulation are A.I.s that are made from those same rules, and can only use those rules interact the world around them. Would there be some fundamental limits on what those A.I.s could work ... | 1 |
I quoted the following from a pamphlet: Please read the instructions carefully before filling out the application form. The application will be returned to you and the registration may be delayed, if the information is not filled in completely. Does "filling out" equal to "filling in"? The words in and out have opposit... | 1 |
I have not idea how to call these things, but I just saw a paper with the following figure and I was wondering how one would go about doing it in LaTeX. The closest thing I saw on TeXample.net was the Ford Circles example, but that's for a very specific case. I would like to see a way use this as a plotting device. At ... | 1 |
Is there a term for when a person is getting really irritated/frustrated by someone, but they don't want to yell, so they do that thing where they exhale sharply through their nose? Say, for example, in customer support the operator has to explain and re-explain a procedure over and over, but the caller can never seem ... | 1 |
Is there any difference between the mass defect and the mass deficit? I have read that the mass defect of a nuclide is never negative and have also been told that the mass defect is the same as the mass deficit, which can be negative. Is it purely a sign convention? As a result of this is the binding energy of a nuclid... | 1 |
While studying about band theory of semiconductors, I observed that when the electrons were excited from the valence band to the conduction band, they left behind holes in the valence band. From my existing knowledge, I believe that the valence electrons alone occupy the valence band which tells me the valence band is ... | 1 |
I've been watching this little HBO show by the name of Game of Thones. Perhaps you have heard of it. In the most recent episode the following line is used (and also happens to be the title of the episode): Now their watch is ended This sounds foreign to my ear. I would be inclined to say "Their watch has ended". Is the... | 1 |
I have an upcoming statistics exam and I'm studying it on my own. I was recommended Hogg's Introduction to Mathematical Statistics, but I didn't find it helpful. I just want a book which covers basic mathematical statistics and statistical inference: stochastic convergence, estimation of parameters, testing hypothesis,... | 1 |
I was discussing about particle accelerators with my friends and it came to my mind whether it is anyway possible to make a table-top accelerator(accelerator that can fit on a table). I asked this to my professor and he mentioned something about plasma field accelerator.He said that charged particle passing through a p... | 1 |
I have developped a little tool in matlab to fill directly some .tex files and then compile them in a pdf file (I use the command pdflatex to compile). It is well working on my computer because I have MiKTeX installed. Now I would like to make a installer (using Inno Setup) to share this tool but I need to include the ... | 1 |
This is more of a general question rather than anything specific but I was just wondering if someone could point me toward resources which discuss singularities in a PDE rather than in an ODE (by singularity I mean as in https://en.wikipedia.org/wiki/Singularity_(mathematics)). I did a bit of work with singularities in... | 1 |
I've looked up both and seen the answer to "why do we say 'soup up.'" Having always thought myself that the phrase was "to soup-up," I've been lately surprised to see a significant amount of usage of "suped-up" with claims that it's from the term "to supercharge" or "super" and that "soup" is the misspelling. Is there ... | 1 |
I hear people say things like "inside a black hole the laws of physics are not valid" or "there can be parallel universes with different physical laws" or "before the big bang there was nothing". Can physics really make such predictions? Is not there a logical issue here, namely, is it possible to predict a system wher... | 1 |
Is there a difference between "headquarters of" and "headquarters for"? It is the headquarters of many branches. It is the headquarters for many branches. It is the headquarters of the party. It is the headquarters for the party. Intuitively, "for many branches" seems correct and "of the party" seems correct. I can exp... | 1 |
I am working on a project whose object language is in non-monotonic logic. Since the project involves reasoning about the models, I am thinking of translating a non-monotonic problem into a first-order logic, use model theory in first-order monotone logic to solve the problem, then translate the results back to a non-m... | 1 |
I'm interested in the semantic implications of using the words quote and estimate in a business scenario. Here's the situation: When someone wants to purchase a service that I provide, they can fill out a form on a Website with information about the work to be done. Based on that info, they are instantly given a predic... | 1 |
I want to say something like: The system stores the crazygonuts data separately from the data feed. I think this is wrong (maybe I am wrong in that), but I'm not sure exactly why. One alternative I thought of: The system stores the crazygonuts data separate from the data feed. I checked some dictionaries online, and I ... | 1 |
Most modern texts spend some time deriving the LSZ reduction formula that connects S matrix elements to time ordered field correlation functions. It seems essential, and really helps clear up what you are calculating. Yet some earlier texts and even some modern texts (e.g. "Student Friendly Quantum Field Theory" by R. ... | 1 |
I'm trying to read about anabelian geometry and obviously the things to start with is the algebraic (etale) fundamental group. Every now and again I encounter authors talking about the arithmetic fundamental group, especially when they're talking about curves. Are these really the same thing, except the term algebraic ... | 1 |
Possible Duplicate: [Singular] Is/Are [Plural]? I'm currently writing my master thesis on Bitcoin and I'm not sure which version of this sentence is correct: "The first most important part of the Bitcoin infrastructure are all applications that communicate with the Network." "The first most important part of the Bitcoi... | 1 |
Possible Duplicate: Unbreakable block I have a block of text (possibly comprising many paragraphs) near the end of a page. The page break is being inserted in the middle of this block--how do I prevent that? (How do I tell LaTeX that this block of text needs to always stay together on the same page?) This question shou... | 1 |
Currently i am reading about bandgap engineering in zinc oxide. I read that using external dopents likes magnesium or cadmium we can increase or decrease bandgap of zinc oxide,thus giving unique optical and electrical properties to zinc oxide. But how adding an external dopent causes changes in the bandgap of zinc oxid... | 1 |
If the coproduct of a family of objects of a Poset (seen as a category) is the least upper bound, who is the coproduct of a family of objects of a Preorder (seen as a category)? My intuition tells me that is the lub again but I'm having trouble writing the proof formally due to it is my first time with category theory ... | 1 |
I am a physics undergrad and thinking of exploring quantum information theory. I had a look at some books in my college library. What area in QIT, is the most mathematically challenging and rigorous? From what I saw in the books, most topics were just simple linear algebra. I am looking for an area which is mathematica... | 1 |
Is the phrase "item is ignored for deletion" grammatical and idiomatic? The context is a software program. I have a list of items to be deleted from a database, and if an item from the list is not in the database, I want to display a message saying that the item is ignored. Since this message can appear among other unr... | 1 |
Can the word dear replace expensive, as in "That new T.V is too dear"? The dictionary says so, but I was completely unaware that it had that connotation. I want to use it in writing because it's a shorter, simpler sounding word with a regular comparative/superlative, dearer and dearest, but it doesn't sound idiomatic a... | 1 |
I am beginning to learn quantum mechanics. Since determining the position of an object involves probing by electromagnetic waves and since i have read a simple derivation of Heisenberg's uncertainty principle which says that uncertainty in momentum of a quantum particle is proportional to the momentum of light (or e.m.... | 1 |
I was wondering if a library of mathematical expressions in Latex was existing on the web (I don't know if the library term is appropriate) which would help us copy and past them. It would save a lot of time when using, for instance the normal law... PS: I'm not sure of the tag below, tell me it's not the right one, I ... | 1 |
A question was recently asked on Musical Practice & Performance, asking what physical properties of silver would contribute to the sound of percussion instruments. It is likely to be off-topic there; I wondered if any of you physicists/material scientists would be able to offer a humble musician information on this sit... | 1 |
In many forums, I have seen people keep saying to avoid repetition of the same word in a paragraph. But in the sentence like below, how do you avoid the repetition? Suddenly, the dog stands up and stares at something in the hallway. A shadow of something enters the living room from the hallway. The dog continues to sta... | 1 |
I am looking for a word or expression, that describes the specific distance in the space that lets the observer appreciate and completely understand the object of observation. For example, when one is in a museum and stands too close to an impressionist painting, one can only see the brush strokes but not the flowers. ... | 1 |
I am starting to write my master thesis in latex. So far I have only written article-like texts, so this is my first big document. I would like to start with some good general good practices. Specially since I might go into academia and pursue a PhD. What are good principles to keep in mind?. For example, do you have o... | 1 |
This was something I understood when we first went over it in class, but my text doesn't really cover it and I cannot find a direct answer online: If I use, say, the midpoint rule on a contour map to get the approximate value of an integral how can I determine if it is an over-approx. or under-approx.? Thanks! I should... | 1 |
I am studying for the Berkeley Math Tournament (BMT) and I was wondering if anyone had any ideas on what I should study to prepare. This is my first math competition and would like to have as much practice before hand as possible. Also, taking a look at last years competition there are a lot of problems that I am unsur... | 1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.