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This was said by one of my mates while retelling a story. The story runs that there was a court being held, and there was a recording-clerk as well. But this was a humor story, and the story continued that everybody was telling the recording-clerk to take out what was previously said, to the point that the clerk lost his temper and "dropped the pen and threw up the sponge." Does this saying mean that he resigned? | 1 |
Let's say the objects are marble size or even single atoms or quarks. They are placed in an otherwise empty universe(expanding or non-expanding) at opposite ends of the universe with an arbitrarily large distance between them. With a combination of great enough distance and small enough mass will the gravitational pull between the two objects ever equal zero or merely approach it? Given an infinite amount of time would they ever meet? | 1 |
I've come across many pages, articles and texts which say something like When X does Y, God kills a kitten When X happens, God kills an elephant Like here - God kills a pigeon here - God kills a kitten What does it exactly mean? Does it mean that something great was achieved, so a sacrifice was made? or Does it mean that a particular action/event is bad and should be avoided? | 1 |
Two non antipodal points on a sphere have a geodetic which is a segment of a great circle on that sphere. I'm trying to calculate the Euler angles that would rotate the "equator" great circle of the sphere (in my case, the normal to this plane is the y axis) into the great circle that intersects two points specified by two pairs of angles (theta and phi, latitude and longitude, whatever. Though, yes, latitude and theta aren't the same, I know.) I feel like I've made it way more complicated that it needs to be and I'm stuck. | 1 |
I came up with this question when I received an email from a committee with a sentence 'We have decided not to publish it', which seems really strange to me because the grammar I learned in English classes is 'decide not to do something' and 'decide to not do' was told incorrect. I searched for answers to this problem online, but did not find a clear as well as persuasive answer. In terms of grammar, is 'decide not to do' correct ? If it is incorrect, is there a reason why people say 'decide not to do' even in official letters ? | 1 |
I was wondering if anyone knew how to make music notation that looks like the below: I'm not even sure where to start with this kind of thing, I've tried doing it by hand before in Inkscape, but I did not find that easy, algorithmic, or professional looking. I was hoping some kind of package might be available in TeX. This is another, similar example: | 1 |
For a particle attached to a rope moving along a circle that has the length of rope as radius, the tension provides centripetal force and work done by tension is zero since velocity of particle is perpendicular to tension at any instant. But I am thinking about this case: Here, a particle is tied to a vertical cylinder and is given a velocity perpendicular to rope. My doubt is the work done by tension. The length of rope decreases and the particle moves towards P which is along the direction of tension. So the work done is non zero. Am I correct? (Let the particle move in a frictionless surface) | 1 |
I am wondering if there is a word to describe a person who likes chaos. By this I mean a few specific things: The person is pleased to hear when chaos is created, or confusion emerges The person will take opportunities to create chaos or confusion The person enjoys taking part in chaotic or disorganized situations. I can't seem to think of a word to describe the type of person who would act in this way. I hope this question is clear. EDIT: Below gbutters sums up nicely: What I wonder is if there is a word for a generally good-natured person who just likes some good old-fashioned chaos. It seems like any person that thrives on chaos would have to have some extra baggage. | 1 |
I need a good book containing many challenging exercises (or problems) on Convergence Concepts in Probability. The topics I have covered are: Borel-Cantelli Lemmas Modes of Convergence and individual properties Laws of Large Numbers Central Limit Theorem Levy Convergence Theorem and Kolmogorov's Maximal Inequality Expectation and Limit Theorems like MCT, DCT and Fatou's Lemma. I know that there are several books offering enough theory but I am in no need of those. I would want a book containing stimulating problems because just by studying theory, I cannot be sure that I can apply those concepts in relevant areas. Thank you. | 1 |
What does the noun "lucker" mean? It's not in the Webster, but Google does give search results for such key phrases as "I am a lucker" or "He is a lucker" (and those are not misspellings like "luckier" or "lurker"). So people DO use that word. I myself heard it a number of times. And if they use it, it should have some meaning. So, here is my question: what does the noun "lucker" mean? | 1 |
I am being told that "sports" is a singular noun. This is creating a problem for me (as a teacher) because it sounds 'odd' even if it is correct (i.e. one of the exceptions to the rule). e.g. Sports has (rather than sports have)... I always thought sports referred to more than one team activity (e.g. football, rugby, golf, bowls etc.); hence, it was plural. For example, I like playing sports. Sports have always been of interest to me. QUESTIONS Is sports a collective noun? Which usage is correct? | 1 |
A busy intersection sees two traffic accident per month on average. Suppose the number of accidents follow a Poisson distribution. Starting from January next year, which month do you expect to be the first one in which there is no accident? I figured it would be the same for every month (as in every month is equally likely to have no traffic accidents), and can't figure out why a particular month would be expected as the first one to have no accidents. Any reason a single month is more likely than others? | 1 |
I'm looking for the appropriate term to use for what gets "used up" as potential energy is converted to heat and work. For example, some of the the energy in solar radiation is converted by photosynthesis to chemical energy; much of the rest is lost as waste heat. The bio-chemical energy is used to power various biological functions until it has all been lost to waste heat. At the various steps along this path what term would you use for what there is less and less of? It can't be "energy" since that's conserved. It's potential energy, but is that really a standard term for what's lost when potential energy is converted to waste heat? | 1 |
What would happen if an object (like a space ship) was to stop its orbit around the sun. would time slow down with that object (the same way time sped up for the characters in that great film Interstellar). Or even more so, if that object was to stop its orbit around the galaxy so to speak. And so on and so on. At what point is an object considered motionless? Could it be that the finite origin of the big bang has no time? | 1 |
If the mass of A is greater of the two, and if air resistance is the same on both, which ball will reach the ground first/simultaneously? I thought that since the acceleration acting on them is same, both will reach the ground simultaneously. But the answer in the book says that ball A (the one having greater mass) will reach first. I mean, isn't this what people thought before (I guess it's true) Galileo performed his experiment, until they were proven wrong?! | 1 |
Which would be correct? What is your favorite song, and explain why? (I'm thinking this is right.) What is your favorite song, and explain why. This could be written as, "What is your favorite song? Explain why." But that seems kind of clunky. Looking at similar questions on this site I see that maybe there isn't a great answer to this (or maybe that this question is more straight forward than what I was looking at). I dislike the Chicago Manual of Style format, so ideally one of the two choices above would be correct. | 1 |
I want to create a separate file for tables so that the main latex file doesn't get cluttered. I know I can define tables in new file and add the same file in the main file using input{Tables.tex}. However, I am not sure how can I ask for/produce (not refer) the tables using the labels of tables in the main document? Any suggestions would be appreciated. Thanks. | 1 |
I want to make someone a present by subscribing for him to a mathematical journal. (It should appear every month or every two months). The contents should be comprehensible to an undergraduate in mathematics, and be about a broad selection of topics (for example not only analysis). I expect the content to be something like proposing interesting problems and then giving solutions with some references for further study. Are there some famous journals you could suggest me? | 1 |
I have seen that sometimes, in particular in number theory and combinatorial commutative algebra, our questions are somehow related to finding the number of points with integer components in a region/shape. Since this seems to be related to some open problems and conjectures, does there exist a branch of mathematics that specifically study such questions? If yes, what it's called and what prerequisites one must know to study it. | 1 |
I think it may not be possible. Given all the pair correlation functions (e.g. calculated from Ornstein Zernike theory), it seems possible to obtain the internal energy (assuming different species interact through pair-potentials (i.e. potentials that do not involve more than two bodies)). To obtain the free energy, the "naive" way is to obtain the partition function and take logarithm. Yet it seems not easy (except possibly through cluster expansions? which is not exact.) Any help will be much appreciated. | 1 |
Assume an airtight bag occupied by air such that the pressure inside the bag is equal to the atmospheric pressure. Assume the surface tension of the bag is negligible. What is the change in air pressure inside the bag relative to a weight placed on it? Is it possible to approximate the weight of the object on top of the bag by the air pressure inside the bag, without knowing the volume of the bag or the area of the object? | 1 |
Ionization energies/Electron affinities are well mapped. I wonder about opposite processes... I imagine for anion the necessary energy will be equal to the electron affinity (energy released when the anion was created). What about cations? If I had an cation and free electron (both with low kinetic energies) will it automatically recombine? Or if I had let's say grounded metal surface and near it a cation of some gas, will it do the same (and how would react an anion in this case)? Thank you for answers. If you could direct me to the proper literature I would be grateful :) (I know it requires QM for any decent description). | 1 |
The American convention in quotations is (typically) to place punctuation inside quoted text. But I always run into situations where the punctuation of the quote interferes with the punctuation of the sentence. How would you punctuate this (American, non technical)? When my friends ask, "What do you want for your birthday?", I never know how to respond. It seems odd to place the last comma outside the quote simply because of the question mark. Is that the preferred (i.e. most often accepted) standard? | 1 |
I have heard that in my next semester, our quantum mechanics teacher will be giving a great emphasis on difficult integrals with the most of them having to do with gamma functions. Does anybody know a book(or any other source) that I can learn about and practice gamma functions integration (with applications to physics and more preferably quantum mechanics if possible)? The only thing I have found are books that just list the integrals of gamma functions in tables rather than having a few examples and them some practice problems. | 1 |
Hullo, Im just starting up with LaTeX. I keep getting error messages even though I feel as though everything has been done correctly. I am just doing the intro exercise which is shown from the help tab from my MikTeX install. I am getting errors like article.cls not found. Can I download a LaTeX editor from somewhere, or is the MikTeX which I installed mising some files. Can someone please help me? | 1 |
I've heard this phrase used many times. e.g. -Got a completion date back on your new conservatory? -Ha! Chance'd be a fine thing. I think I have a general idea of what it must mean from its context. But I just don't see how it makes sense. What does it actually literally mean, and why? It doesn't seem to make sense to me. What does "chance" have to do with anything? | 1 |
So, in the field of metallurgy, there are a few varieties of phase diagram that are used to predict the post-processing characteristics of alloys. These include Time-Temperature Transformation diagrams and Continuous Cooling diagrams. Currently, I've found myself working with metal oxides, and I'm trying to find what the equivalents are in this field. It looks like so-call Oxidation Curves are a commonly used tool, but this doesn't give me any information on the microstructure or properties I can expect out of bulk materials. Are there such references? | 1 |
Dual spaces are home to bras in quantum mechanics; cotangent spaces are home to linear maps in the tensor formalism of general relativity. After taking courses in these two subjects, I've still never really understood the physical significance of these "dual spaces," or why they should need to exist. What is a dual / cotangent space? Could someone explain why they are necessary, and what their physical significance is? | 1 |
I'm working on a collaborative project and I like to organize all the supporting files for my tex documents (rather than just having everything in one flat folder). This involves referencing figures/files/etc. by a (relative) path. The difference in slash convention between linux/windows means that collaboration between users on different systems becomes annoying. Is there any easy way of dealing with path references between systems? | 1 |
Suppose I take a vacuum tube and accelerate electrons in it by electric fields then collide it on a copper plate. Will the electrons then go inside it and generate an electric current by putting a positively charged panel on the opposite end to create a potential difference? If yes how can I extract the electrons from the positive plate back into the vacuum tube? Thanks! Also you can see a diagram I made for what I am trying to say, | 1 |
I have three questions: (i)Does rank of a square matrix same as the degree of its characterstic equation. (ii)Do elementary row transformations of a given square matrix result in a characterstic equation different from that of given square matrix (iii)Geometrically speaking what do cofactors of a square matrix mean. What is significance of some of them becoming zeros or all becoming zeros. These are theoretical questions and so if you could refer to me some book or online resource which can explain these concepts it would be a great help. Also it would be nice to know what other members think about these topics. Thanks in advance | 1 |
I have a few issues to discuss linked to the Future Subjunctive. Can "If I were you." mean the same as "If I were to be you." In other words, can "If I were you." have the reference to the future which "If I were to be you." has? If I were you at tomorrow's competition I would win. ? = ? If I were to be you at tomorrow's competition I would win. Would you understand, if told, that "If I be you" means "If I were to be you"? Is this construction still used in contemporary English or is it totally obsolete? If I be you at tomorrow's competition I will win. Is this construction possible? If I am happy at tomorrow's competition I will win. | 1 |
Equation of continuity says us that if we insert some fluid in a tube, the same amount of fluid will come out from the other end. If we make a small hole in a hose pipe, water will come out with a great speed. The bigger the hole, the slower the speed. This is a direct consequence of the equation of continuity. But at the case of water tap, when we start to turn on the tap slightly, the velocity of water is slow. As we turn on the tap more, the speed increases. This is contradictory with equation of continuity. | 1 |
I'm TeXing a course for a teacher of mine, and he wants me to have the section titles in the headers (I use fancyhdr to achieve this). He also wants me to retain the section titles he gave me in the original (word) file. Since some of these section titles are too long to fit in the header title, is there a way to define a shorter version that is to be used in the header? Enabling multiple header lines would also do. I'm using the book class. | 1 |
So I've been reading a section about energy levels and came across this statement: "As the atoms of a material are brought closer together to form the crystal lattice structure, there is an interaction between atoms that will result in the electrons in a particular orbit of one atom having slightly different energy levels from electrons in the same orbit of an adjoining atom." What I don't understand is that how could be an interaction of atoms of the same material occur, if they have the same potential, number of e- and structure. And why would they have a difference in energy levels?? | 1 |
Is there really a difference between using "allows for" and just simply "allows" as in this scenario? To me, both of these sentences mean exactly the same thing. Does having the 'for' make the sentence mean something even slightly different at all? I have searched all over but have not encountered anything that is similar to this scenario. Any help is much appreciated. Music allows me to express myself. Music allows for me to express myself. | 1 |
Taking into account gravity, air resistance, and wind velocity and direction. (And also temperature if it's actually relevant.) I know the muzzle velocity, the total distance the bullet traveled, its diameter, mass, length, and the angle from which it was fired at. Now, I do not know its drag coefficient, so how do I calculate it? (The muzzle velocity is supersonic.) The question is, what is the velocity of the bullet by the time it traveled the total distance? What are the formulae that I would need to use to calculate that? Much obliged. | 1 |
The gist of my problem is that Slovene isn't supported in babelbib. I've got a half-done .bst file which translates some of the needed words, but not all of them. I also noted there exists a slovene.mbs file in miktex. However, when I tried creating a new bibliography style with makebst, I still didn't get the words translated. Since my bibliography is pretty simple - the only thing I'm missing is translation for 'edition' - I felt it would be best if I edited the existing .bst. How do I go about that? | 1 |
I say that "whoever" is the correct grammatical choice in the following sentence: Give the raise to the hardest-working employee, whoever/whomever that may be. I say "whoever" is correct. The reason is that, when we isolate the "whoever/whomever" clause ("whomever that may be"), the phrase converts to "It may be he". "It may be he who is the hardest-working employee", not "It may be him who is the hardest-working employee". Thus, I believe "whoever" is the correct choice here. Am I right? And is my explanation in determining "whoever" on point? This question is different because the "whoever" clause is at the end of the sentence. | 1 |
Yesterday, I told an Indian my English name is 'Melao', he smiled and asked me if there's any special meaning. In fact, I get this name from a song with Latin style -- 'Corazon De Melao', I think it's legibly. So, I wonder if there's any special meaning in English-speaking countries when it is used as a name? Or what's your feeling when you hear a boy with a name 'melao'? Thx in advance. | 1 |
I am trying to solve the following problem using proof by strong induction. the problem is: Assume that a chocolate bar consists of n squares arranged in a rectangular pattern. The entire bar, or any smaller rectangular piece of the bar, can be broken along a vertical or a horizontal line separating the squares. Assuming that only one piece can be broken at a time, determine how many breaks you must successively make to break the bar into n separate squares The farthest i have gotten is the basis step, but i dont even know if that is correct Potential basis step that i got it is P(n), but besides that i am clueless | 1 |
I am writing a research paper in which my thesis concerns how a character matures through his merging of characteristic traits in his relationships with other characters. How can I introduce this topic with an analogy "attention-getter" that demonstrates this idea of merging things together to form something new? In another words, I'm looking for an analogy that compares how an individual who combines attributes that he acquires from his relationships can actually create a new, and better, identity for himself. | 1 |
What's the difference between pronunciation and enunciation? I learned this a long time ago in English class but forgot what it was. Clarification For example, Wikipedia says: Good enunciation is the act of speaking clearly and concisely. The opposite of good enunciation is mumbling or slurring. See also pronunciation which is a component of enunciation. Pronunciation is to pronounce sounds of words correctly I can't tell from this what the specific difference is. When is it correct to say someone's pronunciation is off versus when their enunciation is off? Merriam Webster's definition defines enunciate as : articulate, pronounce That would seem to say it's the same as to pronounce. Is there a specific example of incorrect pronunciation verses enunciation? | 1 |
It''s quite common for academic papers and such to have a short title intended to catch the casual browsers's interest, followed by colon and a longer more explanatory alternative. I know this is a lousy example (I couldn't easily find a better/shorter one), but even so I'm sure this Catchy Title : Longer version conveying more information about the work format is also used in fictional works. Is there a standard name for that secondary title. It's not really an "alternative title". The only thing that comes to mind for me is byline, but I know that's not right either. | 1 |
I have seen several proofs that there exist nonstandard models of arithmetic, but they all seem to rely on the compactness theorem, which is not implied by ZF. So are there any proofs in ZF that there's exists a nonstandard model of PA? Tennenbaum's theorem, which states that every nonstandard model is uncomputable seems to hint at the possibility that there are models of ZF that contain no nonstandard models of PA. | 1 |
I'm attempting to document a change that will make two things more congruent. I'd like to use a word in this way: This change [makes similar] the two items. The best I've been able to find by searching is "assimilate"; however, I feel that this word has unpleasant connotations in some cases and could be misconstrued. Is there a better word? For a little more context on this specific situation: I'm making the interfaces of two different software libraries more similar. They're remaining separate libraries, but they do nearly the same thing and are now more similar in their behavior. | 1 |
This is a follow-up of my previous question regarding loading image using latex command. @erik kindly informed me that latex only supports images in eps format. I converted my JPG file to an eps file using bmeps.exe in the miktex/bin directory. I can see the image in the dvi file generated by latex. But the original color image in the JPG file becomes a black-white or gray scale image in the eps file. Is it possible to get a color image in eps format using bmeps.exe? Does latex support color image? A minimum woking example can be found here. | 1 |
English is used all over Europe in (more or less) academic papers and books that are not necessarily related to reviews and publishing houses based in UK or US, and that are not necessarily intended for UK or US markets. English is largely used between non-English speaking areas as lingua franca. What is the main trend in this field concerning the use of British vs American English? Are there certain guidelines (or even EU directives) on the matter? | 1 |
I read a quote somewhere and it seemed flawed in its language and word usage. Take a look at it: "Trust a person to that extent, that he feels guilty to cheat you & care for a person to that extent, that he fears to lose you." The letters in bold are the clauses that I found flawed in particular. Shouldn't it be: "Trust a person to the extent, that...." At the same time I find "care for a person to that extent, that..." sounds alright. | 1 |
I have a problem regarding supply distribution. I distribute widgets on a monthly basis; I have many customers and each of them request a different quantity each month. My monthly supply is limited and I cannot fill every order. How do I distribute fairly, across the board? There must be some sort proportional way to do it. Let me know if I need to provide additional information. Thanks | 1 |
A friend uses this ____-whore construction all the time. I challenged her to find a better way to say it. I suggested addict, enthusiast, devotee, and several other words. She said none of these convey her meaning the way whore does. She says she'll watch anything. I told her she's not being paid to watch, and whore would imply that she is. Can anyone suggest a better alternative? | 1 |
I am a freshman in high school who needs a math related project, so I decided on the topic of fractals. Being an avid developer, I thought it would be awesome to write a Ruby program that can calculate a fractal. The only problem is that I am not some programming god, and I have not worked on any huge projects (yet). So I need a basic-ish fractal 'type' to do the project on. I am a very quick learner, and my math skills greatly outdo that of my peers (I was working on derivatives by myself last year). So does anybody have any good ideas? Thanks!!!! :) PS: my school requires a live resource for every project we do, so would anybody be interested in helping? :) | 1 |
Is there a theory of constrained optimization with complex variables, do you know any textbook on that topic? The typical textbooks on constrained optimization deal with real variables. I actually found some references which loosely explain the procedure of derivating w.r.t. the complex conjugate to obtain optimality conditions but could not find a rigorous mathematical justification. In particular I am interested in using a Lagrangian, and couldn't find any reference on that. Thanks. | 1 |
At a homecoming dance, no boy dances with every girl, but each girl dances with at least one boy. Prove that there are two couples, gb and g'b', who dance, such that g doesn't dance with b' and g' doesn't dance with b. I'm not sure where to start. Hints only please, NO SOLUTIONS. I will most likely reply back to your hint to ask you more, so please stay online :) | 1 |
People in London, who live in the suburbs, may tell you they work 'up town', meaning in the City or the West End. In other large cities in Britain, Birmingham, Manchester, Leeds etc., I think people who earn their living in the City Centre (equivalent to Downtown with capital D) will say casually that they work 'in town'. I think I'm right when I say that only Londoners go 'up town'. So where did the idea of 'Downtown' come from? | 1 |
To complete college (or what the equivalent in Denmark would be) I will have to write a text about a topic that I choose. I have chosen to write about mathematics in business economics, and specifically, I want it to be about investment analysis and risk assessment. I am seeking some inspiration for possible mathematical topics to include. My knowledge in math is at bachelor degree, but I am up for a challenge. I already have a few ideas, e.g. I am pretty sure I will include something about the poisson distribution. Any answer is appreciated. Thank you in advance. | 1 |
Someone else asked Are camp followers prostitutes? and the answer seems to be that while not every one who follows a military camp is a prostitute, if you aren't referring to a prostitute, you should probably pick another label for the person. A similar effect can be seen with sexually themed words like "mistress", "madam", "ejaculate", and "escort". I assume this linguistic process has been studied and I'm curious what its name is. | 1 |
I'm looking for reading assignment ideas for my students. I'd like them to read up on results in mathematics in layman's terms. For example, the Monty Hall problem, or Borsuk Ulam as the "Ham Sandwich Theorem". I feel a good source for the types of things I'd like them to read is this post. I would have each (group) student do a write up on a particular subject. Does anyone know of any books that give a list of results that are understandable for a calculus student? | 1 |
During review of an article I found an erroneous sentence: The known predators of the plant are sheep, donkeys ... I am an engineer, with not so much knowledge in ecology. Based on my earlier studies I suggested to change predators to consumers. I checked it with a search on the net. Surprisingly I found too few hits in my search. Consumers of a plant is acceptable? Can you recommend alternatives? | 1 |
I understand that structures with the properties of the real and complex numbers can be defined and derived from the axioms of ZFC set theory. But can a structure with the properties of a (possibly uncountably infinite dimensional) vector space be derived from ZFC or is it axiomatic statement that a vector space is a set (and that therefore the axioms of set theory apply to it) ? I think the question becomes relevant in the proof that every vector space has a basis (from Zorn's lemma = axiom of choice). It's not just a matter of whether one accepts the axiom of choice in set theory, but how one gets to believe that a vector space complies with set theory axioms. | 1 |
Most physics textbooks and even questions in stack exchange answer the question why there exists a charge buildup in the bends of a current carrying conductor. But what I am unable to understand is: why a surface charge gets developed in the straight region of a current carrying conductor? why there is a gradient of the surface charge density along the length of the wire? | 1 |
I managed to install some english dictionaries as shown on https://github.com/TeXworks/texworks/wiki/SpellingDictionaries#mac-os-x. Then I was able to select Edit->Spelling->English-UnitedStates(en_US). At that point, all misspelled words were underlined in red. However, I would like to ask, once you finish writing your document, is there a way to search for any red-undefined misspelled word? The reason I am asking is to help my students, who will be writing projects in Texworks during the fall semester. When they are done, how can they check the spelling in their full document? | 1 |
A condensate of open strings with both ends attached to the same D-brane can be equivalent to a displacement of the D-brane with no open string condensate. A solution to the D-brane Born-Infeld action gives rise to a semi-infinite string extension which is entirely equivalent to an open string with one end attached to the D-brane. Why aren't D-branes and strings independent degrees of freedom? | 1 |
When I first learned algebraic geometry, I naturally wiki-ed the subject and there was a line there that said the old school Italians used the notion "generic points without any precise definition." Now that I know what a generic point is, I am curious as to how did the Italians think about a generic point and/or what their intuition about it was and what kind of results did they prove using this notion. Any answer would be greatly appreciated! | 1 |
As I was familiarizing myself with different methods of computing complexities of recurrences, I stumbled upon the Akra-Bazzi method. Seeing such a beautiful result literally made my day. I was able to come up with a proof that makes use of an inductive argument, but induction alone isn't all that satisfactory. Does anyone know of a material that illustrates a constructive proof of this wonderful result? | 1 |
Let's say you have a spherical charge distribution of radius R. This distribution has some charge density as a function of radius. I know that I can determine the electric field outside of the charge density by forming a spherical gaussian surface around the charge distribution and apply gauss' law. But what if I want to find the field directly on the surface. That requires that my surface intersects some of the charge of the distribution. In that case, when I apply Guass' Law. How do I determine the charge enclosed by the sphere. Do I discount the charge which exists on the surface or is that counted as enclosed by the sphere? | 1 |
This is quoted from an U.S. TV series. Warden: Brad. Brad (Captain): Any updates? Warden: None. They were last seen at that cemetery in Oswego. Brad: They'll get them. They'll get them. Warden: It's been handed over to the FBI. Brad: Well, that doesn't mean we can't work it. Warden: It does, actually. You and I have been pulled off the pursuit. Brad: Why? Warden: We're going to find out shortly. We have to report to the DOC headquarters. I will meet you there. Brad: Sir, we can get these guys. Just give me a couple more days and I swear I'll get them. Warden: Brad! We've got to go. | 1 |
I have several items of clothing for which their dark colours could run on washing. Some have a warning label in that says 'wash dark colours together'. Some have a label that says 'wash dark colours separately'. These apparently contradictory labels actually tell me to do the same thing, when context is taken into account. What other examples are there, either out in the wild, or that could be constructed, of opposite messages meaning the same thing? | 1 |
I am writing up a paper on magic squares, and I would like to include the lo shu magic square, but I'd like to do this using XeLaTeX as opposed to just including a picture. The following picture is what I want to produce: Does someone know how to produce what's above? I thought something like tikz would probably have to be used, but I'm not very advanced with LaTeX just yet. | 1 |
What is the best word to refer to the person that I (directly) supervise, in the context of a corporate workplace? The closest I can think of is employee, but that doesn't directly convey a direct supervisor relationship. Other options I can think of are apprentice (usually used to refer exclusively to someone who is still learning where I come from), underling (patronizing), and worker (again not specific). For example when describing a project: My employee designed the front-end of the system while I worked on the critical business logic. | 1 |
(Quantum) integrable systems, that belong to solutions to the Yang-Baxter-equation, are often solved by the (algebraic) Bethe Ansatz. Solutions to the Bethe-equations lead to the eigenvalues of the transfermatrix and in that way also to the spectrum of the hamiltonian. However, suppose you already knew an eigenvalue of the transfermatrix, is there a way to construct the Bethe-roots, that would have lead to it? If any additional explanations are needed to answer the question, just let me know. I think the answer to the question is in general no. If there are however some specific exactly solvable models, where it is possible, that would be also of interest. | 1 |
What is the meaning of the phrase " you rolled them sevens with nothing to lose " ? In the song entitled " The weary kind " which is a sound track of the "Crazy heart" movie , there is a line that i can't understand. Your heart's on the loose You rolled them sevens with nothing to lose, there's ain't no place for the weary kind Could you please help me to understand that phrase ? | 1 |
Do predation and predating share a common etymology? Predation seems to imply that one species holds precedence over another species in the food chain, whereas predating seems to imply that one event holds precedence over another in the linear progression of time. Both words obviously share the prefix pre, but my question is more about the dat part of each word. What is the origin of dat in early English or in Latin or the Romance languages Latin gave birth to? And how does that origin explain the meaning of the modern words predation and predating? | 1 |
I want to prove that a certain metric space is totally disconnected. In a metric space context this is the same as saying that every connected component is a singleton. I think another way of proving that a space is TD is proving that there is a proper, nonempty open and closed set. Is that right? Please let me know any alternative equivalent definitions you might now. Cheers! | 1 |
I have this problem where I have two lines given and I have to find a transversal. However, it also has to be perpendicular to a given plane (lines are not necessarily in the given plane). My guess was that I would have to find perpendicular lines to the plane and then see if they are also transversals of those lines. But I've been stuck. Is this the right approach? Or should I start working from the lines and then tend to the plane and transversal being perpendicular? | 1 |
I'm referring to this one: Any man who is his own translator has a fool for an editor. The resemblance that this expression bears to the one about any individual who chooses to represent himself/herself in a legal case is undeniable. Yet, even when the meaning of the latter expression is pretty clear to me, I'm not sure I get the point which whoever made up the translator/editor variant of the proverb was trying to make... I would be really glad if, in addition of getting an answer for the question in the title, you could help me unravel the meaning of the expression under consideration. Let me thank you in advance for your learned replies. | 1 |
I know this on our hands/in our hands discrepancy has been discussed here in a broad way, but since it's idiomatic, I think it would be helpful to consider a few specific examples, like the one here. Would you use "on our hands" or "in our hands" here, and why? It refers to something you invented and produced, and you're guessing it will do well on the market. So you're not having anything literally in your hands. You don't know if it's a top-seller yet, you just think it will become one. That's why "on our hands" seems right to me. Am I wrong? | 1 |
Is there a word to describe the competitive advantage gained from sabotaging a competitor, or more generally the advantage gained from dishonesty? An example: Your office receives pamphlets advertising an office cleaning service. Your current office cleaning service steals and hides that pamphlet before an employee at the office can see it. What words can one use to concisely describe the advantage that your current cleaning service has gained? | 1 |
I recently installed AucTex on a new computer, and am having an issue that I do not recall with regards to accessing environments. Using C-c C-e, auto-complete etc., I am only able to access a handful of environments. Auctex does not detect align, matrix, or any other math environments. It is possible to simply enter the environments by hand, or create custom environments, but this seems tedious for something that I wouldn't expect to be happening. Perhaps there is something I am missing. | 1 |
It seems Optimal Estimation/Control Theory requires a lot more than undergraduate maths. Any good book that would help me get started? I have so far referred the following books but found them quite difficult. Is it just me? is it the subject? or are there better books? Extra points for someone who gives a detailed road map of how to go about learning Optimal Estimation/Control Theory H.W Sorenson - Parameter Estimation Dan Simon - Optimal Estimation Theory Arthur Gelb - Applied Optimal Estimation | 1 |
I am working on the lyrics for one of my songs and english is not my first language. Here's the question - which of these sentences is correct? No thorns to prick your heart No thorns to prick your heart with (Meaning that the character of the song has no 'thorns' (figuratively) he/she could use to prick the heart of the one he/she addresses to) Thanks in advance | 1 |
When someone says, I barely understand that. Does he mean: He almost doesn't understand [which means he understands a bit] He almost understands [which means he doesn't understand] Or if someone says: Your brain is barely used. Does he mean: Your brain is almost not used [which means, it is used, but very rarely] Your brain is almost used [which means it isn't] I used to think that it was the first option. But a friend, out of the blue, said it was the second one. Which one is it? Or have my friend and I got it entirely wrong? Are there other words with similar meanings to barely? Is nearly one of them? | 1 |
So a stage whisper is defined as (American Heritage Dictionary): The conventional whisper of an actor, intended to be heard by the audience but supposedly inaudible to others on stage. A whisper that can be or is intended to be overheard. Is there any good description of the opposite? For example, if I'm in a crowded place, and I mock-yell under my breath so that only I or a single friend am actually aware of it, how could we describe that? | 1 |
I noticed that her eyes had been dancing as she looked out at the scenery. It appeared in a state-sponsored high school leaving examination in Slovakia last week and it seems to have been adapted from a short story by a native speaker, so it really ought to be correct, but I don't see how or why. Past continuous seems the obvious choice, this just seems wrong as it's all happening at the same time. | 1 |
I have read that electromagnetic waves carry momentum because they carry energy, while energy is equivalent to mass. So they carry momentum. But this explanation is in the context of special relativity. I don't know whether mass energy equivalence is necessary for wave momentum. So I hope you can discuss in the contexts of both Newtonian or special relativity. A quantitative definition like the Maxwell stress tensor of electromagnetic wave is better. | 1 |
I find that when learning more abstract concepts, it helps to have a 'simple' example tied to every theorem in order to fully appreciate the theorem or property. However, the course notes I am currently using for my studies of Measure Theory (this is a first course for me) do not have many examples. It is highly rigorous and detailed, but lacks examples. Are you aware of any introductory books on Measure Theory that has a good number of examples tied to each theorem? In other words I guess, do you know of very 'gentle' books on this topic? | 1 |
Claim A directed graph has an Eulerian cycle if and only if every vertex has equal in degree and out degree, and all of its vertices with nonzero degree belong to a single strongly connected component. I was looking for this proof in the Internet, but all i have found are the proofs for undirected graphs. I would be glad, if someone can give a link or name of the book, where i can find proof for this claim. | 1 |
The last few years I've noticed a trend of people posting articles or news stories on facebook that had offended them, and commenting with a sense of outrage they seemed also to relish on some level. Today I heard the term outrage porn for the first time, and felt delight in hearing this phenomenon succinctly and accurately named. I got to wondering if there was a word that described the surprise and satisfaction of hearing a concept captured by name for the first time... I'm not looking for general words describing the satisfaction of insight or clarity -- but a word or phrase that applies specifically to hearing a concept named for the first time. | 1 |
In high school we learned to say "than I" and "as I" because you could potentially add an "am" to the end of the sentence. Examples: "She is smarter than I." (Think: "...than I am.") "He is as tall as I." (Think "...as I am.") So analogously, shouldn't it be "like I" as well: "He is sincere, just like I." (Think: "... like I am.") But universally, it seems that we use "like me". Where does this reasoning break down? Is there history here? | 1 |
When I use the word "sorry" for something I did wrong I'm sorry I bumped into you. I would be apologizing. However, when I used the word "sorry" to express pity for something that is not actually my fault, I'm sorry you couldn't figure that out. I'm sorry for your loss. is it still called an "apology" in English? In Chinese, we wouldn't use the same word in these different sentences. I would love to know what this type of sentence is called. | 1 |
I've been asking myself this and other questions in the field of philosophy of mathematics. Could we, if we were isolated from any kind of sensory experience, be able to learn mathematics? Also, what does it take to learn math?, is there a 'module' or a 'structure' (like the one theorized by Noam Chomsky in his studies on linguistics) in our brain that lets us apprehend mathematics?, do we need a language (be it natural, be it symbolic) to learn mathematics? PD: I'm a beginner to SE, if this question if off topic please do tell and do recommend me where should I ask it. | 1 |
I'm looking for command to use in one terminal so as to know the following facts. Is there one LaTeX distribution installed ? What is the path where to put local classes or packages ? In my Mac, I know that it is '/usr/local/texlive/texmf-local/tex/latex'. The command will be used by one Python script so as to automate the installation of my personnal little classes or packages. The solutions given in the following comments work well on Mac, and I think that this works also under Linux, but I don't know how to do under Windows... | 1 |
I have some TikZ code in my LaTeX document. Whenever I edit other parts in the LaTeX document, I recompile it. But repeating recompiling unmodified TikZ code can be time-consuming. I was wondering if there is some way to avoid re-compilation of unmodified part of LaTeX document? If such methods exist, do they apply not just to unchanged TikZ code but also unchanged non-TikZ code? Thanks and regards! | 1 |
I am in need of help figuring this out-- If the only straight lines in hyperbolic geometry are those that pass through the center, then isn't there a right angle? (horizontal and vertical) Which fulfills that requirement of the definition of a rectangle. That leaves the other two sides as hyperbolic lines with negative curve and extending infinitely, resulting in three acute angles, right? Aren't the two straight lines passing through the center parallel to their opposite hyperbolic line? Which also fulfills the definition of a rectangle. I'm sure I am overlooking something or have gotten myself very confused. Please help. | 1 |
Slightly tongue-in-cheek this one but written in good faith... I am a competent user of LaTeX and use it with Eclipse as IDE, MacTexlive as install, and XeTeX as engine to author my PhD. However, there are times when I like to procrastinate and love LaTeX as an end in itself not just as a means to an end. What would you recommend as a good way of procrastinating whilst usefully extending my capabilities and abilities to use LaTeX? In the past SVN, biber and beamer have served to distract me from my thesis. Any more potentially fruitful areas? | 1 |
Can fusion and fission happen at the same time, in the same place? I was talking with a friend, and he thinks that fission and fusion happen at the same time at the sun, is that true? I guess this would cause perpetual motion, then I speculated that they could happen, but in different proportions and I believed that fusion is happening in a higher proportion than fission. What do you think? I've searched on wikipidia, and I still found no mention to fission happening in the sun. | 1 |
This Batman equation thing got me thinking: for an arbitrary curve drawn on the Cartesian plane, can you write a corresponding equation which is not piecewise? What about closed shapes, a la the Batman symbol? I assume that there are limitations, such as that the curve would have to be differentiable and/or continuous everywhere, but is this possible for any random squiggle? Or is it not? | 1 |
The English wikipedia page for Nothing starts with the sentence: Nothing is a pronoun denoting the absence of anything. I was expecting Nothing is a pronoun denoting the absence of everything. since in the context a positive answer is expected. Googles: N-gram viewer shows that anything is more common than everything in this context, so I assume that anything is the natural choice here. But why is that? | 1 |
I am in a situation where i am expecting some data from my client. I want to write the same in a very polite manner that "i am expecting the data, even after my repeated intimations." Here i wanted to use a sentence as I'm just sending this mail to remind you that, currently i am awaiting for data. I am confused i should use wait or await in this context. | 1 |
I would like to know if there is a common abbreviation for days of the week in a two letter form. I mean: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday; can be abbreviated as Su, Mo, Tu, We, Th, Fr, Sa? Is this the common form? Note that I have also seen Sn for Sunday, and some times St for Saturday (but I think less frequently). It will be used in a tabular data program to show information about free work days of employed and each column can't have enought space to include full week day name. For "common form" I mean, what are the abbreviations that is more used in programs. | 1 |
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