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I was reading about different variations of nim game and I'm trying to find the winning strategy in one of them: there are n empty places on the circle. Two players are placing their coins on empty places. They can put their coin only on empty places which aren't next to a coin of the opponent. In one turn each player ... | 1 |
I would like to have a definition for non-modular lattices which clearly sets them appart from their modular counterparts, thereby focusing on their main distinctive feature. Besides, I would be very grateful to you if you could provide me with an explanation about orto-modularity, which Birkhoff and von Neumann allege... | 1 |
Is a Topological Space an Algebraic Structure? I am referring to the Wikipedia definition: algebraic structure generally refers to a set (called carrier set or underlying set) with one or more finitary operations defined on it that satisfies a list of axioms. Examples of algebraic structures include groups, rings, fiel... | 1 |
This is an exercise from Alhfors Complex Analysis book- to show that an analytic function with a nonessential singularity at infinity must be a polynomial. It seems like it should probably be pretty straight forward, but I must be missing something. If it has a removable singularity at infinity then it extends to an an... | 1 |
What is the word for "stealing things during natural disasters"? For example, two guys are listening to the news and hear that there will be a huge typhoon tomorrow, and that there will also be no electricity. So, these two guys decide to steal things from a shop on the day of the disaster. Is there any single word for... | 1 |
I'm looking for a reference for something I thought was easy and well known. There are (at least) two definitions of expander graphs. There is a combinatorial definition via edge expansion, and an algebraic definition using the spectral gap. Neither of these definitions require the graph to be regular. Now, I always th... | 1 |
I am using graphicx to typeset the figures for my PhD thesis. I have large files in .eps format. However, whenever I try to typeset the file (using pdfTeX), the console says "LaTeX error: File 'Figure' not found" It is in the same directory as my .tex file, and the file will typeset if I create it as a .dvi and then co... | 1 |
Light as an electromagnetic wave can be polarized in different ways, e.g. linear or circular. As far as I understand it currently this can be compared to the spin direction of a propagation electron (spin angular momentum of light). Now I have learned that an electromagnetic wave can also have an orbital angular moment... | 1 |
I'm writing an essay right now and I'm deliberating whether or not I should use Pagan gods instead of Greek gods (to provide variation in the essay). I've looked up the word pagan in the dictionary and it mentioned it was a derogatory term. Would it be acceptable to use it though in an essay or would it be inconsiderat... | 1 |
I'm trying to phrase a sentence in which I'm wishing that something goes easily for someone, but can't get the wording to sound right, and not awkward. For example, someone may be studying for a test and I wish that their studying goes easy. These are the phrases I could come up with. I hope it goes easy for you. I hop... | 1 |
Does anybody know the source of this idiom or have an explanation of how it originated? I know it means that the speaker does not trust the person in question, but I want to know the etymology of the idiom. How did it mutate from something literal into this? Obviously trust is not measured in the same way as distance, ... | 1 |
Is there any good reference for Poisson geometry/Poisson manifolds out there? I would like to give a deep look to the subject, but all I seem to be able to find are short chapters or interludes in text about symplectic geometry. Looking a bit around on the web, the only thing I found is this book. Has anybody read it? ... | 1 |
I'm not a mathematician, but I'm teaching a bit of algebra to some budding logicians, and introducing them to/reminding them of the notions of isomorphism, homomorphism, etc. I'd like to give them an example of an endomorphism which isn't an automorphism, so that they can see the point of there being a name for these s... | 1 |
Is the probability space associated with a compact group with Haar probability always a standard probability space? I recall seeing somewhere the fact that if the topology generating the Borel sigma algebra is not metrizable then the probability space is not standard, or something along these lines. If so then any non-... | 1 |
Please help me determine whether or not to include a comma at the end of the third sentence: "I won't be talking to my ex at the party tonight." -"But what if she talks to you?" "I won't be listening to her either." -or- "I won't be talking to my ex at the party tonight." -"But what if she talks to you?" "I won't be li... | 1 |
Can anyone provide a word which describes a person who shows a lot of enthusiasm in the beginning but gets bored gradually and eventually leaves the task uncompleted? I looked at jaded, but it doesn't fulfill the criteria. Jaded seems to describe more of an overworked fellow, whereas the word I'm looking for would desc... | 1 |
I have a few questions about simple situations. What should I say to another person right after falling? a) I fell b) I have fallen What should I say to another person right after throwing a ball? a) I threw the ball b) I have thrown the ball What should I say to another person right after taking something? a) I took b... | 1 |
I live in Thailand and we pronounce "w" and "v" the same. When I spoke to American people they told me that the "v" sound was different from "w". They told me to move my lower lip to the upper teeth, then say "v", but I don't get it. I want to know how to pronounce "v" in English. If you can suggest me how to practice ... | 1 |
I was looking at the ice formed in my refrigerator and found out there were a lot of air bubbles inside it. The shape of the air pockets seemed strange to me. There were many small spherical ones and the bigger ones were in the shape of vertical ellipses. I am not able to understand what's the cause of these different ... | 1 |
The following is from the MIT-Harvard Tournament: You are trapped in ancient Japan, and a giant enemy crab is approaching! You must defeat it by cutting off its two claws and six legs and attacking its weak point for massive damage. You cannot cut off any of its claws until you cut off at least three of its legs, and y... | 1 |
I am a physics undergrad interested in stuff like dynamical systems, chaos theory etc. Is there ongoing research in these fields? I am talking about pure research and not applications to things like weather etc? I hope this question is appropriate for Physics SE. I asked this question, because I browsed through the web... | 1 |
I picked up a copy of G.H. Hardy's 'Divergent Series' a few days ago. So far I love it, as I love the ideas associated with sequences and series, but I am finding it a bit difficult to understand. I assumed I knew everything I would need to understand it(Calculus I/II, etc.), but perhaps not. What would the possible pr... | 1 |
I know that the proper way to use "not too long ago" is: "Not too long ago, contractors used to build houses and sell them to dealers. It was the responsibility of the dealers to provide financing to potential home buyers." Instead of these two sentences, can I use: "If not too long ago, contractors used to build house... | 1 |
I created a table and it starts from the left and goes all the way to right, which looks really skewed. So I want to center align the whole table but couldn't figure out how to do it. I'm new to latex so I don't know how to use other plugin or macros, but I suppose there's a command for this basic functionality. Can an... | 1 |
I am working with certain input-output maps that can be thought of as large RLC-networks. I thought maybe this might be a place to get some thoughts/ideas/answers. My basic question is, given some large connected RLC network (all linear and ideal elements) and two ports in the network, say 'a' and 'b', can the transfer... | 1 |
After taking an introductions to proofs course and abstract algebra, I have been trying to study from Rudin's Principles of Mathematical Analysis. Unfortunately, I still find it very very difficult to read through Rudin let alone do the exercises. Sometimes I spend an entire week trying to understand a proof but get no... | 1 |
I am studying English and I have a question. I found it in my text book written by some teacher who is not a native speaker. "Those who came first and in greatest numbers to make their homes on the eastern coast of North America were mostly from England." I do understand the meaning of this sentence, but I cannot under... | 1 |
How do you parse the following sentence? The lamp by which she read the book grew dimmer. My friend says that "by which she read the book" qualifies "the lamp". So, it would basically mean "The lamp that she was using to read grew dimmer." For some reason, I comprehend the sentence as "The lamp that she was near while ... | 1 |
Look at the endings of the following words: blight, bought, breadth, brought, caught, delight, depth, fifth, fought, fourth, fright, freight, height, light, plight, taught, thought, width, ... As you may have already noticed, some of the words in that list end in ht, whereas the rest of them end in th. I have some ques... | 1 |
I'm well aware that bulwark refers to something used as a fortification or a defense. However, I was wondering if the word bulwarker is an acceptable word to use in English. I know it's possible to be a bulwark ("He built a bulwark upon the hill."), and I know you can bulwark something from something else ("I will do w... | 1 |
I am entering an interesting team based math contest called the purple comet, and quite a lot of questions on this contest involve Diophantine equations. For this contest, you are given a computer, and I was thinking of making a program that solved a linear Diophantine equation. The issue with this is that I can barely... | 1 |
I was writing an essay when Word picked up an error in my writing; specifically, it wanted to replace "vast majority" with "clear majority." So my question is: is "clear majority" better, more eloquent, or clearer than "vast majority?" If so, how? A similar post here talks about the differences between similar expressi... | 1 |
When speaking about turbulence in fluid mechanics many times authors speak about "premultiplied energy spectra" but they never explain what really it is. I have searched for a definition but I did not manage to find it. I guess that is something related about the real energy contained in a region of scales when using a... | 1 |
I have been looking around to find an answer to my question, but I was unable to find one that addressed my specific problem. I want to create the following sentence, but I'm not sure whether it's correct. "Not only the world has changed during this time but also we have in particular." I apologize in advance if I have... | 1 |
I'm looking for a term to accurately describe a person who can only read but cannot write. While I'm primarily concerned with people who have never learned to write, I would also be interested in any additional terms used to represent people who have lost the ability to write as a result of disuse. Both illiterate and ... | 1 |
I'm a bit confused. QFT is claimed to incorporate both Quantum Mechanics and Special Relativity. Therefore it should address the problem of non-locality caused by entanglement. However when I search for an answer on the Internet, I found nothing. I'm not complaining. But it seems that most people only use QFT to do som... | 1 |
I've noticed that, when I'm driving and it's raining, the faster I go the more rain I get on the windshield and the faster I have to run the wipers to compensate. When I'm stopped at a red light I can just about turn the wipers off, but once we get moving again I have to turn them up so I can see clearly. Intuitively I... | 1 |
I am studying Linear Algebra. I have faced a problem to understand Symmetric Matrix with spectral decomposition. After I studied spectral decomposition, the next page in my book talks about a positive definite matrix and quadratic form. I am kind of lost what relationships are there between symmetric decomposition, a p... | 1 |
According to Collins English Dictionary, and of course as everyone knows, a doula is a woman who is trained to provide support to women and their families during pregnancy, childbirth, and the period of time following the birth However, the definition in wiktionary says: A support person, usually female, who may not ha... | 1 |
I'm about to wrap a course in partial differential equations. We've discussed the heat/wave equations and introductory Fourier Analysis. I'd like to do some reading into the field of thermodynamics. Would it be best to start with an introductory text given to most lower-division under graduates or should I begin with s... | 1 |
I know that air pressure and temperature are inversely proportional. Now I saw in a book that "Atmospheric pressure decreases as we go higher and higher." But at greater heights the temperature becomes low, and so the air pressure would be high. But it is given atmospheric pressure decreases with altitude. I understand... | 1 |
Given two (or more) loans of different balances and interest rates and a single amount of funds available per payment period, is there a way to calculate the best way to split the available funds to minimize the amount of money repaid? I'm not really sure where to start to look into this type of question so if someone ... | 1 |
In my physics classes, I remember it being repeated a few times that gravity is a much weaker force than the other three fundamental forces, and being told this is an open problem in physics. However, I don't understand why this is a problem. I see no intrinsic reason why the four fundamental forces should have similar... | 1 |
I'm reading a paper titled "Luminescence spectra of quantum dots in microcavities II Fermions" (link). In section III, the authors introduce so-called closing operators. I don't have enough background knowledge to understand the technique there. So it's natural for me to look for other literature or books on the topic.... | 1 |
Generally speaking when we say "our friend" we are referring to someone who is a friend of ours. However, I have noticed that at times these words are used sarcastically to refer to someone who is actually not a friend but an enemy/adversary. So with respect to the sentence below, is the term our friend used as a form ... | 1 |
I'm starting my last year of high school, and I will have to do an all year research on a mathematical topic. I'm a really passionate learner and I'm very involved in computer science. I am stuck on finding an idea that will both be challenging and fun. I would also really love to integrate computer science in it, sinc... | 1 |
Some dictionaries define a scalar as follows: A quantity, such as mass, length, or speed, that is completely specified by its magnitude and has no direction. -- The Free Dictionary However, it is my impression that in many contexts scalars can be signed, in which case their magnitude (their absolute value) does not spe... | 1 |
I'm currently taking a numerical analysis course. We are covering linear algebra topics, the gist of the first chapter of the course being solving systems of linear equations. The lecturer has introduced SVD decomposition, condition number of a matrix, LU decomposition and QR decomposition (using Householder decomposit... | 1 |
So I'm trying to prove that the set of polynomials in C([a,b],R) is not open. I understand the definition of an open set, but I'm wondering how to find a point that is not contained in the interior if it's the set of polynomials. Also, Can a subset of a metric space ever be both open and dense? I'm thinking it can, onl... | 1 |
Why is a homogeneous function called homogeneous? When I ask this, I don't mean, "Show me how to algebraically manipulate a function whose input has been multiplied by a constant to get the original function multiplied by the same constant." I mean--why do we use the word "homogeneous"? That word in particular must hav... | 1 |
I know how to solve linear homogeneous ordinary differential equations with constant coefficients using the differential operator D, by using this method. Is it possible to use a similar method (using the differential operator) to solve more advanced ODEs? I'm thinking of both more advanced linear ODEs, such as Euler-C... | 1 |
One oddity I notice is that if a random or quasi-random data series such as price data is plotted, it is similar to a random walk, but if the same data series is plotted using candlesticks (open-close, high-low), there appears to be in many cases an undulating pattern. I assume that this is caused by some kind of alias... | 1 |
I am an mechanical engineering student so I'm kind of ashamed to ask this question but I have a weak math background and am digging into some of my knowledge gaps. So my question is where are all of the constants of integration and why are they generally ignored? Is it simply because they are usually treated to be zero... | 1 |
I don't know where I've heard such expression. I try to explain (for sales) what our software tool does and I use this sentence: "It helps you to deploy apps in a very simple fashion". And then I describe the steps of how it works. I googled this expression and I found only one reddit post. Is it a widely used expressi... | 1 |
My background : I'm currently in my junior year in college majoring in astrophysics. I have taken GR, and some intro cosmology here and there, but nothing in great depth. I had my heart set on taking a full physical cosmology class this spring. As luck would have it, I can't take the physical cosmology class due to sch... | 1 |
I was wondering if it's possible to construct a table in LaTeX which has a fixed header so when we scroll down the page of the output PDF, we can still read the column names and keep track of what the numbers in the table represent. I have seen in a post here at stackoverflow about how to do this with HTML and someone ... | 1 |
I was doing some calculations in MATLAB, and noticed a pattern that may be obvious to stats experts, but I didn't notice it before. If I have a time-series, and I remove a linear trend / detrend it, I find that the mean of the detrended data is zero, as expected. However, I was surprised to find out that the standard d... | 1 |
I am just beginning to read about the use of "Concave Programming" methods and use of the Karush-Kuhn-Tucker conditions to identify the maximum value of a non-linear objective function subject to inequality constraints. The examples I have seen in the text I have at hand, all involve only linear constraints. Is this me... | 1 |
Wikipedia has the following quote on John von Neumann: Stan Ulam, who knew von Neumann well, described his mastery of mathematics this way: "Most mathematicians know one method. For example, Norbert Wiener had mastered Fourier transforms. Some mathematicians have mastered two methods and might really impress someone wh... | 1 |
I am studying client's request arrival patterns on web and application servers. About web server's request arrival pattern I read that "The request arrival rate on web server follows Poisson distribution". And about application server I read the sentence "The request arrival rate on application server follows exponenti... | 1 |
I'm working on a project right now and part of the introduction is about energy, and I'm trying to introduce the notion of energy in an unconventional way. Right now, I am looking for examples of situations in physics and chemistry where energy plays a key role. Another way of putting it is: I am looking for questions ... | 1 |
When used as an expletive, the name Jesus Christ often gets an H inserted into the middle of it for some reason. I've heard lots of guesses about what the H stands for, the most popular one being Henry, but no one seems to actually know, and I've never gotten any good explanation of where it came from or why it became ... | 1 |
In high school a while ago, I learned a bunch of random terms for words and phrases: synecdoche, antonym, oxymoron, palindrome, etc. There's one term that escapes me but I can give examples of it. I don't love my wife because she is beautiful but she is beautiful because I love her. We travel not to escape life, but fo... | 1 |
D-branes, as I currently understand them, are submanifolds of spacetime on which open strings can end with Dirichlet boundary conditions. On the other hand, type II string theory is a theory of oriented closed strings - the difference between IIA and IIB coming from the choice of GSO projection. Based on these observat... | 1 |
Trying to show that if a sequence converges, it either has a maximum, a minimum or both, I reached a dead-end. Assuming it is not constant, it is still bounded and its supremum and infimum aren't equal. Then I assumed that the supremum and infimum are not in the sequence. I want to show that there are two subsequences ... | 1 |
I'm working on finding whether sequences converge or diverge. If it converges, I need to find where it converges to. From my understanding, to find whether a sequence converges, I simply have to find the limit of the function. I'm having trouble getting started on this one (as well as one more, but I'll stick to one at... | 1 |
This may not be the correct place to ask such a question. I have read a mathematical paper on multiclass total variation clustering. I wish to use the algorithm in the contents to compare with another clustering result. My question is: Is there a proper etiquette for asking the author(s) of the paper for their code? Is... | 1 |
When writing a book on popular culture, I'm using italics to introduce a film title into my paragraph. In the next paragraph I refer to the film title again. Should I use italics on the second occasion, or stick with normal text? I'm tempted to go for the latter - as over-use of italics would spoil the flow of the text... | 1 |
This question may sound naive but still I haven't seen it being discussed in any book. Why do we parametrize surfaces with two variables as opposed to curves? Initially I thought that it is not possible to fill enough points in the space with one variable but there are space filling curves so it is certainly not the re... | 1 |
So I've modeled the interactions between the sun and all the planets (and the interactions between the planets) using Verlet integration. I've used data from Wikipedia for masses, distance from the sun etc. I initialized the initial velocities of the planets via the critical velocity equation. This produces nice stable... | 1 |
I just learned from Wikipedia that coproduct of two (commutative) rings is given by tensor product over integers, and that coproduct of a family of rings is given by a "construction analogous to the free product of groups." Can the tensor product approach be generalized to an arbitrary family of rings? (Infinite tensor... | 1 |
If I have a binary number W bits wide, initially all set to zero, and I repeatedly pick a random bit and toggle it from zero to one or vice versa, how many times would I need to do this to achieve maximum entropy? I hope I am using the term "maximum entropy" correctly -- what I mean is a point where the distribution of... | 1 |
Any given square is always a rectangle, but a rectangle isn't necessarily a square, so squares and rectangles have a _ relationship. I've been noticing this sort of thing everywhere ever since I noticed that I didn't know a good word for it. I've been calling it a container relationship because one class of things is c... | 1 |
I'm not a physicist, but I'm really interested in Nanotechnology. I've a question, and I hope that I can be provided by an answer. I was reading some articles about the one-dimensional CdSe nanostructures. My question is why it's called one-dimensional? Is it because of their geometrical shapes or something else? I tru... | 1 |
Let's say I have an isolated, adiabatic chamber which is divided into two parts with a massless, frictionless piston. One part has vacuum, while the other has a gas. In the beginning, they are at equilibrium. I release the piston, and the gas expands, thereby pushing the piston towards the end of the box. Since the pro... | 1 |
What does the expression "eat shit" represent in the following sentences? Eat shit, I'm not going to do your dirty work. Is this similar to "I dislike doing your dirty work"? Or does it mean "Go to hell."? Eat shit, I am not going to follow you. I found many different interpretations of this expression on Urban Diction... | 1 |
What I want to ask is what would happen if you split a single light ray (a photon) into two using a half silvered mirror? Would the emerging light rays have half the amplitude as the original one or half the frequency of the original wave? Basically will the frequency get distributed or the amplitude? EDIT I specifical... | 1 |
If the text I am quoting is italicised or bold, does my quote need to include this special font treatment? If I want to emphasise something in the quote, can I make words italic? For example, suppose that the text I'm quoting is: I love apples. I really love them! Can I quote that as "I love apples. I really love them!... | 1 |
I don't understand how to solve problems of conditional probability.Here's a problem which I fail to understand."Consider all families with two children and assume that each child is equally likely to be a boy or a girl.If such a family is chosen at random and found to have a boy,then what is the probability that it ha... | 1 |
I have question which I'm unsure of whether or not I am thinking about it right. If an object is sliding down frictionless incline and it then comes to the "foot" of the incline where it encounters friction, how far would it travel. The foot of the incline is horizontal. The only information given was height of the inc... | 1 |
The following true/false question was posed: An isomorphism between to vector spaces can always be represented by a square singular matrix. This is not true. I know that in the case of finite dimensional vector spaces: A map is an isomorphism iff it can be represented by a square non-singular matrix. I would like to kn... | 1 |
Initially, when the current starts flowing the temperature of the filament is less and thus resistance is less. So, more current flows through the bulb and the power delivered to the bulb is more. As, time passes and the filament starts glowing at a steady rate its temperature has increased which in turn has increased ... | 1 |
I'm a programmer and I'm looking for a single word that works for the following scenario: I have a list of basic information about people, I call this list the 'user repository'. I need a word for "to view and change more detailed information about a person". I've thought of using words like refine and elaborate, but t... | 1 |
Suppose that a person buys a packet of sugar. On the way home, the packet falls off his hands and the sugar scatters on the ground. Nobody is expected to gather the sugar again, but that person does so; of course not for his own use anymore, but to donate it to the poor! Obviously, if the packet hadn't fallen down, he ... | 1 |
I tutor student in SAT Reading. One of the SAT tests has the following sentence: "With their dark dungeons and damp living quarters, medieval castles offered few of the comforts to be found in royal palaces." The student thought this must be wrong as "to be" seemed superfluous. To me, there's a subtle difference in mea... | 1 |
This is something that crops up on the BBC a lot and irks me. For example, from a story today: One woman is critically ill and three others have been injured after they were stabbed near a supermarket car park in west London. To me, you are ill (or sick) if you have, for example, contracted a disease and using it in th... | 1 |
So i am currently learning about double integrals and to be honest i am not really understanding how we compute the volume over general regions. Here is the proof provided in my text book. It all makes sense until the last part. Since we use Fubini's theorem we can change the order in which we integrate. Since that is ... | 1 |
I am applying for a new job; I currently work in my family-owned F&B firm. Now, in the job portal, there is a column where I have to mention my current company. I don't want to give the name of my firm as it is not well-known and also, it is not in the same domain as the job I am applying for. I have currently put down... | 1 |
It is right on the tip of my tongue, and I have searched the online thesauruses but I can't come up with it. What's the word that could fill in the blank: He came to the ___ conclusion that you must be willing to serve if you want to truly lead. The best I could come up with is "non-intuitive", but that just doesn't so... | 1 |
I am struggling on this one question, where it is asking to define an XOR automata which is defined as an NFA and it is defined as the following: N accepts the string x if the number of distinct accepting states that can be reached by a path labeled with x is odd. I'm supposed to prove that any languages accepted by th... | 1 |
My question is simple. I'm an undergraduate student taking Partial Differential Equations. I'm looking for a problem book with solutions. My intent is to just do problem after problem to practice for my final and our assigned PDE book doesn't have the answers, so there's no way of checking. Would anyone happen to know ... | 1 |
I'm looking for an adjective that describes the fact that a ship is sailing at sea. Much as "afoot" describes a person being in the state of walking. I was hoping "asail" would be a word, but can't find it from Google. The word would replace the square brackets in the following example: In Plato's ship of state metapho... | 1 |
The Large Hadron Collider (LHC) "remains one of the largest and most complex experimental facilities ever built" (Wikipedia); it may even be the most complex project in humankind's history (?). Such projects usually have impact beyond their original target and boost science and technology in a non-trivial way. I wonder... | 1 |
I realize that "kinda" is an informal form of "kind of". However, would "kinda" be appropriate in fiction or dialogue? Or would it be more acceptable to stick to "kind of"? This is for a fiction novel from first person view. Additionally, I found that when I write, I tend to use "kinda" for more informal sentences ("it... | 1 |
We know that a Hilbert space is separable if and only if it has a countable orthonormal basis. What I want to ask is If a Hilbert space has an uncountable orthonormal basis, does it mean that it is not separable? Or equivalently, does it imply that the Hilbert space does not have a countable basis? I know that if a vec... | 1 |
I am having lots of trouble with this series. I will upload a picture of what I did. According to Wolfram, the series converges by the ratio test. I also don't know how I would use a different test for such a series. Two of the limits weren't difficult, but obviously I have to do something else, since I am not getting ... | 1 |
In chemistry we learned about the penetrating power of three common types of radiation: alpha, beta, and gamma. Alpha can be stopped by paper, beta is stopped by a sheet of metal (I think) and gamma is stopped by lead. In the same unit, we talked a lot about nuclear weapons, but not once discussed the neutron radiation... | 1 |
I only have a basic, mostly classical understanding of physics and am just starting to learn about photons. Am I correct in saying that, as a photon moves through space, the strength of its electric field varies? If I am correct, what is the qualitative nature of this field? Is it positive (would repel a nearby proton ... | 1 |
I know what "begging the question" originally means, but I just can't make any sense of the idiom. The phrase really seems to have nothing to do with its own meaning. The original Latin phrase, petitio principii, is often translated as "assuming the initial point," which quite simply explains the practice. Does the phr... | 1 |
I was wondering why it is almost impossible to find a geometrical explanation of why adding two linear equations helps us to find a solution of a system of linear equations? Am I right that adding two linear equations will result in an equation of a line which will pass through a point where two linear equations inters... | 1 |
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