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Are there any (mathematical) puzzles that are still unresolved? I only mean questions that are accessible to and understandable by the complete layman and which have not been solved, despite serious efforts, by mathematicians (or laymen for that matter)? My question does not ask for puzzles that have been shown to have either no solution or multiple solutions (or have been shown to be ambiguously formulated). | 1 |
If a couple are having a romantic or sexy get away where they're staying in bed and having sex and otherwise hanging out - is there a term use for the periods where they're not actually in the act of having sex? Perhaps pillow talk is the closest term I can think of here - but this seems to refer to the act of just talking, whereas I'd like to encompass anything else they might do - like eating, watching TV etc. eg. During [something period] we had a tickle fight, I organised my to do list, and she knitted some socks. I'm looking for something you might use in a romance or sexy novel. | 1 |
I'm not a native english speaker (so forgive me for my poor language skills in general :) ) and I'm puzzled by this "whose / which / of which" issue. I have a sentence like this: "BLAA is a project whose purpose is to build and...". To me it sounds that it should have which instead of whose. I was always tought that whose refers to a person and which to a matter, and based on that I would use which but all the articles I read about it seem to say that whose is the way to go. What to do? And please keep the explanations in KISS form ;) Thanks! -Heidi | 1 |
I intend to study linear algebra during my summer vacation.I will be thankful if anyone could please point me to a good text.I do not care about the difficulty as long as the book is self contained.I do have some experience with problem solving and proof-writing. Edit:I don't care about applications.I prefer one which is quite theoretical. Secondly,here is a book I came across.I request comments on that book too.I will make a choice after some deliberations. | 1 |
I was wondering if there was any way to flip a transistor or similar node component around in the circuitikz package? For the bipoles it's fairly simple as you just reverse the start and end, but for more advanced circuits I'm having trouble (things such as current mirrors or what have you). I've seen various solutions on scaling up and down, but none on flipping. | 1 |
I was aked to solve the following problem: Guiven three lenghts and a triangle ABC, from every vertex whe draw one of the three lenghts, find the conditions such that the three lenghts meet in one point. Then I suposed that at least two lenghts and a side makes a triangle, supose that the side is AB and the two lenghts meets at P, then using the cosine theorem to the triangle ABC and tha traingle ABP and I get a very large expression involving only lenghts, but it was very complex, and I think it can be simplified. Then my question is, if there is a synthetic solution to the problem. Please I don't want a full solution. Thanks. | 1 |
I've seen constraint and restriction used quite often in scientific literature. For example, This algorithm needs to be further improved due to severe space constraint and restriction. I simply can't figure out the subtle difference between constraint and restriction. They seem to be circularly defined according to each other. I assume that they must be different in some way. Otherwise, they wouldn't have been used together so often. If they were really close enough in meaning, why not just drop one and use the other? Or are they used in combination to place an emphasis? | 1 |
I am looking for a high school/ pre-college level Algebra book that is self contained for self-study. Nothing special, I don't want a book about number theory, but a book in preparation of high school geometry, trigonometry and calculus. I have noticed that recommendations for Algebra books on this site, start with books that are really advanced (for my level) and overshoot the mark with suggestions for abstract Algebra or number theory. I am someone that is rebuilding my math skills and need to get a strong foundations before I move up in intellectual weight. | 1 |
In my report, I am defining/describing some terms. What is a proper way to start and format a sentences like: The term crawling denotes the practice of ... Should I put the word/term crawling in quotes, bold, italic, or something else? I think The term "crawling" denotes the practice of ... looks a bit ugly but is probably easier to read. On Wikipedia, most terms seem to be formatted in bold font. | 1 |
This might seems off topic or something, but I am a middle school student and i'm really into Quantum Field Theory and String theory and every video on youtube or article on the internet shows only the concept and Intro to these theories but I want to know about the maths envolved and do the maths myself as well , so i would love it if you guys would be suggest me a site or anything else where i can learn from scratch all the maths involved in Quantum Mechanics and maybe Einstein's Relativity as well. | 1 |
So the category of affine schemes is dual to the category of commutative rings, Stone spaces are dual to Boolean algebras, localizable measurable spaces are dual to commutative Von Neumann algebras, and I'm sure there are many more examples. In general, a category of algebraic structures is going to be dual to some related category of geometric structures. My question is, then: is there an analogous story for coalgbraic things? If I take a category of coalgebras for some comonad and flip the arrows around, will I get something interesting? Are there any good examples of this over familiar comonads (say, the costate comonad)? | 1 |
I've been trying to find one single word that covers knowledge concerning both the properties and cultivation of plants, but have come short with some words. Here are some of the words I thought of, but eventually found lacking: Botany: I feel this implies purely scientific research on plants, ignoring the cultivation of plants and things like crop rotations and irrigation techniques. Agriculture: I think this word only covers food crops and plants commonly grown for decoration. I feel it misses out on the more thorough knowledge of all (not just commonly cultivated) plants, including currently unknown ones. Ultimately, I'm looking for a word that encompasses the subjects of both Botany and Agriculture, but have come short for now. | 1 |
I'm trying to come up with a better word to describe a "driver" or "conditional"; basically, the name of an object or event which is a trigger for something else. Would it be appropriate to say that a button which turns on a light is an affector? If I believe I understand its usage in this context, it would only be an affector while triggering the event (the button is pressed). I've been unable to find support to convince me that this is the appropriate use of the word. | 1 |
I just need to know what exactly happens when charging/discharging a capacitor. Is there any heat transfer between the capacitor and the surroundings? Is there a heat transfer between other parts of the surroundings (wires, the battery)? Another thing I don't understand generally... How do we know if a process is reversible or irreversible? Should we take the third law of thermodynamics as a principle and calculate the change in the entropy of the Universe through the formula given for entropy? If so, how about a process like the free expansion of a gas in which there is no heat transfer but the entropy increases? What about an adiabatic process? Where is the start point for calculating the change in entropy of the Universe for charging/discharging a capacitor? | 1 |
Me and my dad are having a dispute over if this is is a run on sentence or not: From making silly pictures on Photoshop to playing a game that brought me to another world, and even being dubbed as the IT guy in elementary school. He argues that it's a run on, and the ending can't stand on it's own. I think otherwise. May anyone help settle this debate? | 1 |
I was wondering if there is a method for finding primitive idempotents of a finite dimensional algebra (over a field)? or in other words is there any way to build the complete set of primitive idempotents from one (idempotent)? Or if it is impassible to find a method, I believe a good reference or some tricks (general notes) on idempotents is also going to be very useful to me. | 1 |
Sometimes, I forget to use the proper form when an adverb is required. Or sometimes it simply doesn't appear to me one is required, unless I actually consider the grammar of my sentence. I suppose that's mostly because in my native language (German), there is no morphological difference between an adverb and an adjective. This led me to wonder: Is this distinction in English merely an idiosyncrasy or can I really semantically convey something other than intended, if I omit the suffix by mistake? | 1 |
I'm doing an analysis, of client contracts that contain the following factors: The per-unit license price (A) The initial order quantity (B) The recommended retail price (C) What I'd like is a single figure that represents "How good of a deal" the client got, with the quality of the deal being a low license price in comparison to both the initial order quantity and recommended retail price. Generally speaking, The per-unit price decreases as the initial order quantity increases. The per-unit price increases as the recommended retail price increases However, as the contracts were often negotiated, there is a lot of deviation between the individual contracts. How can I go about this? My math is embarrassingly super rusty. | 1 |
This is perhaps a beginner/simple question, but how does includegraphics determine the "box" encapsulating a vector graphic embedded on, say, a letter-size paper? When I read my EPS files (generated with Matlab) using GhostView, they appear in some corner of a full-size, otherwise blank page. Do the various page properties (like orientation, type, etc.) matter? And why does there need to be some blank page underneath the saved graphic for that matter? I'm trying to understand how best to prepare figures for publication. Thanks in advance. | 1 |
What is the principle behind centrifugation? I understand the idea that you spin something around the centripetal force will cause an apparent force on the spinning system. However I don't quite grasp how particles (in the non subatomic sense) with different density should be affected differently. Quite coarsely, I would expect to write down Newton's second law, but then the mass would simplify and the acceleration of every particle would be the same, regardless of mass. Is friction the answer? Or am I missing something silly? | 1 |
For a long time I have been investigating this question on my own, but it seems impenetrable. The question is this: To find a method whereby it becomes possible to convert proof A into proof B, where the proofs A,B can be of anything, e.g. a lemma, theorem, etc. For example, it is possibly in geometry to solve something by means of coordinates or by means of euclidean geometry. However, these proofs are usually found one after the other, independently, and not derived one from the other. I am asking if it is possible to derive the euclidean geometry proof directly from the coordinate proof, or vice versa. I would really appreciate any insights regarding this from experts, or papers/articles that touch on this topic. Thanks. | 1 |
I have some confusion over the ER=EPR conjecture. In what way does entanglement in the laboratory lead to black holes? I must not be reading the literature correctly. Perhaps it should read " It's possible to entangle particles near an Einstein-Rosen Bridge in a way to effectively show ER=EPR by appropriate measurements. Perhaps some confusion on my part on what the target of the conjecture is so I can image what sort of measurement would be used. It's difficult for me to think of physics without a measurement. | 1 |
Here is an example from Murphy's grammar textbook: You are in a restaurant. You and your friend are looking at the menu. Maybe your friend has decided what to have. You ask her/him. You: What ...? The correct answer is "What are you going to have?" My question is: the decision is being made at the moment of speaking, so shouldn't it be "What WILL you have?" | 1 |
So everybody says the gravitational field has no curl, and is not comparable to a liquid swirling around a drain. Observationally, of course, there are many examples of vector fields (which I think are gravitational fields) which look like they have some curl. A pair of stars, for example, one being slowly devoured by the other. The path of the swirling gas seems to trace out a field with a lot of curl in it. Just as if you were to pour dye into water that is swirling around a drain. How do you reconcile the observed vector field with the gravitational field which is not supposed to have curl? Is there some way to work them into a single model? | 1 |
I am looking for a book (or article, or notes...) explaining details about the link between integral points on varieties defined as complement of certain divisors and integral solutions to the equation(s) defining the divisor itself. Namely, if I have a projective space defined over a number field and a divisor defined on it by a polynomial, I can define integral points on the complement of such divisor (quasi-S-integral points, following Serre). I know I could do (and I have done) the work by myself, but I am pretty sure that an expert review could give me examples, insights and references I am missing. Thanks! | 1 |
It's common to say that a pregnant woman is expecting, but is it acceptable to say that her husband is expecting? I ask because my male teacher's wife is expecting in a week. In case you didn't know, to be expecting means (for a pregnant woman, at least) that one will be giving birth soon, but it could generalize to males as meaning "will have a new child soon." | 1 |
I was reading about function and I came across this text, If A and B have same number of elements and particularly if A = B then we only need to prove one of either onto or everywhere defined to prove that it is a bijection. Now I don't get this point. I will be thankful if someone can elaborate this with an example. Thanks in advance. | 1 |
I have found out that using the verb be in passive constructions such as: I had my house be burned down is incorrect, therefore it should be I had my house burned down. But is it possible instead of be to use get? E.g. The wire is passed through the pliers in a specific way to avoid having it get bent. The rope had its surface wear. The rope had its surface get worn. The rope had its surface worn. The first two sound very odd to me, but just for clarification could you please point out the errors and which ones are correct? Or is using get, be it in -ing or the to infinitive, in any situation along with have incorrect? | 1 |
Serre's Duality Theorem is well known and well studied and, as far as I know, there is a "big" algebraic proof for the general case, which is now kind of standard, and can be found in Hartshorne and other references done pretty much in the same way. On the other hand, there is an analytical proof for the small case of complex algebraic curves (compact Riemann surfaces), which makes use of differential forms, meromorphic functions, residue Theorem and so on. Since the curve case looks special, I was wondering if anyone knows of the existence of a more simple algebraic proof of Serre's Duality Theorem and can give me references. Thank you very much in advance. | 1 |
In layman's terms, how do you determine the resistivity constant of a non-ohmic material having measured voltage and current? I understand that non-ohmic materials don't follow Ohm's Law, but will this still be able to be used to determine the resistance? Otherwise how can I determine an initial resistivity in order to use R=[rho]l/A to figure out the resistivity? Is there a different formula for this circumstance, or will I need to collect more data? (Yeah, even I know it's a totally dumb question) | 1 |
Suppose there's a box with one face cold, and the opposite face hot. So when the air molecules hit the cooler face, it will transfer its momentum and energy to the wall, bouncing back with less momentum. And when molecules hit the hotter face, it will bounce back faster. And the hotter side will be hit more frequently by air molecules. So will the box feel any force due to the temperature difference? | 1 |
If I place two positive charges of different magnitudes on the x-axis (one at the origin, one at the some position x), as the two charges repel each other are the forces that they impart on each other the same? Why? Edit: I'm working on a problem that has that situation, and the problem asks for me to find the position of one of the charges if the other one is at a given position. Why can't I just set the two forces equal to each other and use that to find the position of the other charge? | 1 |
I have to do an experiment about light. I preferred to measure the speed of light by the experiment of Michelson and Morley. When you do the experiment, it will result in an interference pattern by changing the distance of one of the mirrors. I know they had the intention to measure the speed of light relative to the ether and the earth. But how could they derive the speed of light with the resulted interference pattern? | 1 |
If I call my mother when I am done shopping in the morning, I might tell her "I am coming home" if she is at home, but "I am going home" if she is not. That afternoon at home, discussing the day's events with my father, I could say "I had already planned to come home after shopping," or "I had already planned to go home after shopping." Which is preferred, and why? | 1 |
A pattern that begins a word is generally denoted as "prefix", one that ends a word is generally denoted as "suffix". Is there a word that indicates a pattern that surrounds a word. For instance (hello), is there a word that indicates the parentheses? So if I have several patterns i.e.: "hello" (hello) {hello} [hello] etc. What word do I use for the surrounding pattern? | 1 |
I am not a native speaker of English and I am now reading a Sci-Fi book called Dune. I am unable to grasp all the sentences but I do get the overall meaning of paragraphs. But this sentence is completely puzzling me. One of the slave-concubines permitted my father under the Bene Gesserit-Guild agreement could not, of course,bear a Royal Successor, but the intrigues were constant and oppressive in their similarity. Here are my doubts: The "could not" refers to the agreement or the permission by the slave-concubine? The "intrigues" refer the details of the permission or the agreement? Could someone please help. I really enjoy the book and would love to understand it better. | 1 |
A person repents to God. Then God responds to their prayer and (v) their repentance. What verb goes here? What is the correct collocation? The only examples I can find on the internet are : 'I was earnestly begging of God to give me repentance.' and 'Then hath God also to the Gentiles granted repentance unto life.' However, the meanings of these sentences are unclear. Does 'give/grant repentance mean that they were given the chance to repent? That's not the meaning I'm looking for. | 1 |
I've just lost a word I use frequently whenever talking about the reasons for punishments. The word should (I think) fill the blank: Punishments, such as jail time, __ people from doing crime. The word is related to stopping, hindrance, incentive, restrict, etc. In this usage, it should also imply that it stops people from committing crime because they don't want to go to jail. Jail also stops people from committing crimes because they can't leave jail. It should fit both of these simultaneously. I hope this isn't too far of a stretch. | 1 |
I'm using TextMaker. This is my first time using bibtex. I tried a simple example found in forums where I created a .bib file and ofcourse a .tex file. Problem occurred when I tried to run my bib file. It says "Log File not found!". My .tex file runs fine. I know this is not supposed to be that complicated. As I just want to create a simple bibliography using bibtex. | 1 |
I have seen some similar questions but I admit I'm a newbie when it comes to cgi and general server setup and need some direction. I have a personal domain hosted on yahoo.com that I would like to install LaTeX on. I would like it so that it works in the following (or similar) way. Typing <img src="www.mysite.com/latex.cgi?{my formula}"> will create a rendered gif that I may post on other websites, mainly forums without LaTeX support where I like to help others. Only basic packages are required for my uses (at least for now), things such as Tikz are not needed. So is this very difficult to do? | 1 |
In many religious calendars, the day goes from sunset to sunset. When translating to the civil calendar, you can divide that day into two parts: from sunset to midnight (A), and from midnight to the following sunset (B). For terminology, "eve" works well for part A. Is there a term for part B? The closest I've found are "day", "morning" and "morrow". Is there another term that could be used? | 1 |
Do you think that the following sentence structure is correct? "Attach any material you need included". I meant to say "Attach any material that you need to include". I agree it may not be formal but I don't think it is wrong or difficult to understand. Do you think that the sentence is wrong? If yes, where do you think the problem is? Could anyone help me with this? | 1 |
I'm trying to understand the symmetry content of the conductivity matrix: one information is, presence of time-reversal symmetry causes the off-diagonal terms to vanish. When this is broken (e.g. in Hall effect) off-diagonal terms become finite. (A side question is, why is the conductivity matrix always anti-symmetric?!) Apart from that, does it contain any information about the spin of the charge carriers. My guess would be it should not, as one computes conductivity using classical theory. If I take a spin-orbit coupled (SOC) system (where inversion symmetry is broken), will the SOC information be present in the conductivity matrix? If it is, then how? What other symmetries in the system are relevant for the conductivity matrix? | 1 |
I have heard that in America, and likely elsewhere as well, we are beginning to be more gratuitous with our use of extreme words when not entirely accurate, such as the words "awesome", "always", "never", "crazy", etc. Is there a word or phrase to name this phenomenon? What are the implications of this behavior with respect to our use of language and its effect on our lives? | 1 |
In the photocurrent experiment, if the intensity of light is kept constant, but the frequency is slightly increased, what's the effect on the saturation current? I think saturation current should decrease because the number of photons should decrease. But, all my reference books say that the saturation current depends only on intensity, and since it is constant, hence there will be no change. Can you please tell me which reasoning is correct? And why? EDIT: Another confusing factor is the energy of electrons. If the electrons have more energy due to the increased frequency then I would take less time to get to the anode and that should increase the current. Now, which factor is more dominant? And how do i know that? | 1 |
I couldn't help but wonder every time I saw such a noun phrase. I've seen both forms used equally often, so I guess both of them can be used interchangeably. But do I guess right? Some examples: Here is a frequently used compound nouns list. Here is a frequently used compound noun list. I usually rephrase them into something like this. Here is a reference list of compound nouns. | 1 |
I think I understand both the centrepedal effect and Einsteins curved space time. However I am confused about which best describes the motion of a planet ( or other orbiting body ). Simply put, does the earth experience any centrepedal effect or does it just follow the geodesic line and therefore not experience any centrepedal forces. Can someone please explain or let me know that science has yet to answer this question. | 1 |
So I have to write a report paper for a course and I would like to prove that the q-Gaussian is the distribution which arises once one maximizes the Tsallis entropy. But I face difficulties in proving it. Actually I am quite new to the field of Statistical Mechanics and not really familiar with the methods of going through a proof like that. Could it be possible that someone providess a reference which provides the proof or show me how to actually maximize a distribution, so that I am able to start at least from that? Thank you! | 1 |
Every word I say is true; this I promise you. I think the pronoun 'this' is the direct object of the verb 'promise' and 'this' should be be placed after 'you', but it is placed at the beginning of the sentence. Because this sentence is on a web page about English grammar at http://grammar.yourdictionary.com , I believe this is not grammatically wrong. Is this an exception? Then, how can it? | 1 |
Is it theoretically possible for an object or particle to change to the opposite direction without making a complete stop first? Lets say I have a fictional hammer swing setup like this: I fire an electron to the hammer and the hammer smashes it back, is it possible for the electron (or any other particle or body) to change direction without slowing down and making a complete stop? If not, which law defines that? Note: the question isn't about the hammer part but that was just the first thing that came up in my mind. | 1 |
I have recently been reading about Quantum Electrodynamics which I found very interesting, but even more confusing. I understand photons mediate the electromagnetic force and interactions between charges can be described by virtual photon exchange. And that in Quantum Mechanics particles paths can be evaluated by sum over all paths... An electron travelling from one point to another will take all paths, emitting and reabsorbing virtual photons. Does the electrons take all paths including those that involve faster than light velocities? Is this question null, Does it mean anything to ask about properties of virtual particles? Do I have the wrong idea about what virtual particles are? | 1 |
Lets consider the following: The book doesn't explain, "What's the wisdom behind education?" Changing this to an indirect question becomes the following: The book doesn't explain what the wisdom behind education is. Now, I found many instances on Google where structures like this weren't really converted to indirect questions. For example: The book doesn't explain what's the wisdom behind education. "[She] doesn't say what's really on her mind." Edit: And consider the following: What's the logic behind it. (a) I wonder what's the logic behind it vs. (b)I wonder what the logic behind it is. (a) sounds better but why? And are these constructions acceptable? | 1 |
I vaguely remember seeing something like a "picture" of various groups a while back. It was as if the elements of the group were each associated with a point and many points had segments connecting them, but not all were connected. Does anyone know what I am talking about? If so, would you care to take the time to explain the basics (or point me to a resource, if you think google won't help)? Thanks. | 1 |
Is it possible for a black hole to be ejected from a galaxy after an encounter with the central supermassive black hole? What would be the impact of the passage of the hyperV-BH through the galaxy? Is it observable? Have we observed any hypervelocity black holes? What experimental techniques do we need to be sure (how should current methods to discover gravitational lensing be modified)? Please note that arXiv papers and articles out there mostly talk about hypervelocity stars. | 1 |
I'm thinking of writing a paper on a new way of deriving the conservation of energy from symmetry principles and the Galilean transformations, but I'm not sure where to publish. Taking a look at AJP, it tends to be there for teachers at universities writing papers on how best to teach a certain topic, and to clear up misunderstandings. On the other hand, my paper certainly isn't to do with cutting edge physics, but merely another approach to something that is understood in other ways, and therefore not worthy of being published in Physics review, say. So where should I publish? More generally, how are the papers physicists publish mainly categorised, and which main journals publish papers in these areas? | 1 |
Hmmm... You can definitely drop down the voltage, and ideal capacitors don't dissipate any power. So it seems, at first glance, that you could use a capacitor divider as a lossless voltage step-down device for AC. So you could use a cheaper variable cap divider as a replacement for a Variac? And it would be continuously variable, too, whereas the Variac is only variable in discrete windings. There has to be something wrong with this. What am I not thinking of? | 1 |
I am stuck in this problem for a while, and the main idea will be important for some exercises, so I really want to know how to find an example like this I need an example of an proper ideal, let's say M, of C[x,y] (the ring of the complex polynomials in x and y) such that the quotient C[x,y]/M do not admit a homomorphism f(x,y) -> f(a, b) (for a, b complex numbers) from C[x,y]/M -> C. | 1 |
I've been wondering if there is a word to express that something was current at the time of its creation. It (in bold) should plug-in into a sentence similar to: The results are based on an analyses that deal with the then-current methods. As far as I can tell, both "contemporary" and "current" refer to now, whereas I would like to express something was "current" in the past. | 1 |
I am looking for a textbook in control theory (for a friend) that covers topics such as Pontryagin's maximum principle. My friend is not a mathematician by trade, but holds a degree in applied mathematics (and is thus not math-shy, but prefers to skip detailed discussions on regularity and prefers intuition). Recent aspects of control theory (e.g., viscosity solutions) need not be present. (I apologize for all the parameters) | 1 |
What would you call someone who does things knowing specifically that his/her actions will cause pain and/or conflict or completes an action just to get someone in trouble or hurt them? For example, in Private Peaceful there are two people that are in love, but the Colonel goes out of his way to tell the father of the girl that the boy is a thief and would be bad for their reputation. What is a word that would describe him? | 1 |
In the phrase "My dog wiggles it's butt" there seems to be a division of opinion as to whether the use of the apostrophe is grammatically correct. I suggest that as the dog in question is the owner of the butt in question and that said dog is an animate object replaced by the use of the word it then the apostrophe is a correct. Just as we use the apostrophe to show possession in the phrase "Mary's head." | 1 |
To negate a participle phrase we use not at the beginning of it, as in "Not having heard the news, he had no idea what was going on." Can we also use the negative particle in some other porition in the sentence without it making any change in the meaning of the sentence? As in "Having not heard the news, he had no idea what was going on." Is it entirely wrong or is it used in spoken English by native speakers (even as a common mistake among native speakers of English)? | 1 |
So I've been correcting an architectural piece translated into English, wherein a sentence befuddles me: ...A wooden table... marked the location of a previous bench. What the author tried to say is that a wooden table is now located where once stood a bench. This usage of previous simply doesn't feel right to me. Any advice? PS, what about location in that sentence? For me, if a noun has to be used, locality seems to work better in the sense of "the fact or condition of having a location or position in space" of the word. Or am I over-scrutinizing things here? | 1 |
I would like to express that I fundamentally upgraded something in a concise way. That is, I did not create that something, but it is almost as if I completely redesigned it and made much better. The word would be used in the following way: I fundamentally upgraded the manufacturing process to allow for considerably higher modularity and efficiency. 'Improve' or any of its synonyms are too weak, whereas 'fundamentally upgrade' seems too clumsy to me. I guess 'revamp' is pretty close but it seems to me that this word might be too informal or not be appropriate in the given context. Do you see any alternatives? | 1 |
Currently using BibDesk with TeXShop (for mac). The apalike bibliography style is pretty much perfect for how I like (and more importantly my advisor likes) to do my references. The only problem is that the citation that comes up in the text [Author, Year] is repeated before each entry in my reference list at the end of the document. Is there a way to remove this so I may just have the Author, Year, Title etc. as normal just without this extra square bracketed part at the beginning? Here's what it looks like: Many thanks for any contribution you may be able to give in advance! | 1 |
If there is a mechanical device which is controlled by electronics, these electronics can be hidden inside the device itself or hang outside it and connected to it by wires. Is there a word which indicates the second option, without writing a lengthy sentence? Example: instead of: "... a device with a controller connected to it by wires" something like: "... a device with a controller _ wires". (in wires? on wires? by wires?) "on wires" would seem to be the logical choice to me, but I couldn't find a single relevant phrase on Google. | 1 |
Not too long ago, someone began to discuss the thinking and motivation behind the Lagrangian and its formalism for the Newtonian framework and an intuitive understanding of such formalism. Somehow, it ended in the case that the Lagrangian can be understood in terms of conservation of information (largely) without having to rely on other laws. Is this line of argument correct? And, more importantly, would this mean that unitarity is a stronger statement than conservation of energy? | 1 |
I would like to hack a new BibTeX style file based on plain.bst, in which I make it possible to display the value of a location field in the inproceedings entry type. I have started as follows: I have added location to the list of defined fields in the ENTRY block. In FUNCTION{inproceedings}, I have simply inserted the line location output right after where it prints the booktitle. This works! However, now I would like simply to enclose the value of location in parentheses. I have tried defining a FUNCTION{format.location}, but I don't understand the BibTeX language well enough to get this right. Any suggestions for the function? And how do I call it in FUNCTION{inproceedings}? | 1 |
I just don't get the concept behind why a lens or a mirror forms a reproduction of the object at present. Is it to do with the object blocking parts of the light source? I just don't understand why an image of that object is produced. The question is essentially trying to understand what causes the image to be produced from the object, in the first place. | 1 |
I am rather puzzled and confused, I have been trying to get a clear understanding of how would spectral clustering work for an undirected weighted graph, I have used the normalized Laplacian, but I always get complex not strictly positive eigenvalues, all the resources I am finding build on the results that the Laplacian is real symmetric positive semi-definite matrix, hence real non-negative eigenvalues. Any guidance is greatly appreciated, specially in the answer to the question if I take the norm of the normalized Laplacian would spectral clustering algorithms be still valid with same results. | 1 |
Is there any "second-countable" theorem ? With this i mean if there is any result like Nagata-Smirnov Theorem (that states necessary and sufficient condition for a space be metrizable), but for second-countable spaces. Also, with Urysohn Metrization Theorem it's straightforward to prove that if a space is compact and Hausdorff, then is secound countable iff is metrizable. Is there any result like this but with the hypothesis that the space is only Hausdorff (i mean, something like : Let X be a Hausdorff space. Then X is second-countable iff [something]) ? Thanks a lot ! | 1 |
As an external observer at infinity, I observe a star collapsing. But because the surface of the star will be infinitely redshifted, I will never see the formation of the black hole. For me, there will be always some matter outside, it never crosses the event horizon. So, can I observe the Hawking radiation if I never observe the formation of the black hole ? | 1 |
A finite presentation is a presentation where the set of generators and the set of relators are finite (Source) I'm studying for an exam where one of the "exam topics" is: The example of the infinite presentation. But what is an infinite presentation? From the finite presentation my first thought was a presentation where the set of generators and the set of relators are both infinite. But since I can't find any example on this in my notes, I suspect that the definition only requires that the set of relators is infinite. | 1 |
So basically, you have three different types of 'things' (for lack of a better term): You have that which is necessary, that which is contingent (you have a choice), and that which is necessary but only because it must be so after a contingent choice has been made. So it's necessary, but not to begin with, and is necessary in a very different way. I guess you could call that which was necessary to begin with, necessarily necessary, and that which is necessary by choice, not necessarily necessary. But of course, am sure there's a better word, or at least term, to describe this phenomenon. | 1 |
I took matrix computations course, our course book is Numerical Linear Algebra and Optimization. As a computer science student, sometimes I get the impression that I lack some fundamental background knowledge about it. It'd be great if you could introduce some useful but not very long elementary linear algebra sources (not very long, since I should get back to my course book ASAP). Please note that I've Googled the subject and got some cookbooks but I am looking for some sources which are specifically related to the above mentioned book and covers those topics. | 1 |
I have see a lot of people said it is not possible to draw a circle by Bezier Curve. However, I want to know why? I did see somebody explain, but I am not quite sure what they mean. Like, Bezier curve is parabola, so it is impossible to draw a circle by it. But how can I proof it? proof that Bezier curve is only parabola and never be circle? | 1 |
I know that demonstrating the Mandelbrot Set is connected requires a non-trivial proof, and that Mandelbrot himself was fooled at first. But can it be demonstrated visually that the set is connected? If the Set were known to be path-connected, I might hope for a computer program that would let me select two points in the set and demonstrate the path between them. Showing connectedness visually seems harder to me. Is there an intuitive way to do it? Perhaps allow the user to draw a region R and then identify at least one point on the boundary of R is in the Mandelbrot Set? Unfortunately that seems less satisfying than demonstrating a path. | 1 |
I'm currently studying electricity on my own, and as I read in a metal electrons are moving across the metal freely (depending on the attraction of the nucleus). As we close the circuit, an electromagnetic waves spreads into the metal moving the electron from the minus pole to the plus pole. Can someone explain to me why is there an electromagnetic wave created when we close the circuit and why it forces the electrons to move like this? Thanks a lot | 1 |
Which one should it be? One of the guys' One of the guy's EDIT: Never mind, I think I answered my own question. I realized it would probably be related to the object being possessed. E.g.: "One of the guys' swords" means "There are multiple guys. They own multiple swords. I am referring to one of those swords." "One of the guy's swords" means "There are multiple guys. One of them owns multiple swords. I am referring to one of those swords." | 1 |
Can anyone please explain exactly how formulas like Tupper's self referential formula can be constructed? I'll like to see the reasoning behind the derivation of such formulas and the steps required to create a new one. NOTE: I know Tupper's self referential formula is not as 'self referential' as it is claimed but some form of 'universal' formula capable of producing any bitmap of a given size, given the value of N. | 1 |
Imagine a structure that is held above the water by pylons that are grounded on the ocean floor. In between these pylons is a pontoon that, when tides are rising holds and lifts a heavy weight. When the tide is falling the weight is supported by the structure, which can gradually let the weight down, and in doing so create electricity. Would this be a practical or even viable way to create electricity? Why or why not? | 1 |
I have a image in a beamer and I want to overlay a table on that image. How can I achieve that ? I have a figure that I created in powerpoint which is as follows: In the above figure, the statistical parameters such as RMSE and NSE are added later. Is it possible to add similar thing in latex beamer ? I want to show the text first on the upper panel and then on the bottom panel. Thanks. | 1 |
I wonder what could be a good book to start learning in depth all aspects of the Fourier transform up to the FFT algorithm, and beyond. I am going to dedicate quite some time on the subject, so I expect something with a lot of exercises (calculus, demonstrations) and solutions, from the basics up to the most complex topics. Could be nice to also have some exercises (with solutions) with practical applications in Matlab or Python/Numpy. Any pointers? Tutorials, books, chapters, websites? thanks! :) | 1 |
I was trying to measure the noise of a device with metal probes. I was not sure whether I should trust the results because I was told contact noise might contribute to some degree. I am a little confused about the notion of "contact noise". Is it because of the contact resistance (every resistor is a noise source)? Or is it something related to other factors such as probing materials or surface? Could anyone make a brief explanation? I am eager to know the origin of this "contact noise", and how I can evaluate such noise. | 1 |
Usually, I think "have to" indicates obligation, which is pretty similar to "must". But today I found this sentence and its usage of "have to" confused me: (it is from NYTimes.com) Long-term forecasts seem to me rather like time capsules, designed more to provide retrospective amusement for those who eventually have to read them, than to be taken seriously as they are first uttered. It would be uncomfortable to interpret have to as must since we are not "compelled to read them". Can anybody explain this for me? | 1 |
For Hausdorff spaces the following are equivalent: Every point admits a compact local base. Every point admits a compact neighborhood. Every point admits a precompact neighborhood. Every point admits a precompact open neighborhood. (Among these the local compactness is the usually applied one.) For non-Hausdorff spaces: What are examples where neither of them are equivalent? What situations make the latter two become important? (I'm just wondering as these are almost always taken as definition.) | 1 |
In German, there's a term "Reizblase" which describes the bladder of someone who has to hit the bathroom every ten minutes. The dictionaries suggested "irritable bladder" as a translation which - seeing how other "Reiz-" organs are also called "irritable" - makes sense. The thing is, the German word holds up nicely in a highly colloquial sentence. I'll try to emulate that in English. Dude, again? WTF? You really got yourself one irritable bladder right there. I am not a native speaker but I feel like "irritable bladder" doesn't fit in with the rest of this sentence because it is a different register. Is there a more colloquial term? If not, would people say a sentence like the one in the example? | 1 |
Basically a friend of mine and I have had this hot debate for a little too long, I contend that these two tools are not only logically unconnected but they require different assumptions (I believe one requires a continuously differentiable function and another requires it to simply be continuous). We've even gone through the proofs and disagree on how the assumptions are used. I don't see the connection... Maybe I'm wrong, maybe they are equivalent (you have one as a tool if and only if you have the other). Anyway, any fresh perspective would be welcomed and any deeper discussion on either appreciated, thanks. | 1 |
There are many books, in which Yang-Mills theory is introduced "just like that". But I didn't find some book with set of historical arguments, which had led people to using it in quantum field theory. Can you tell me about this? Maybe, my question leads to the next question: how did people guess that they need to expand the group of local gauge invariance for describing, for example, quarks? | 1 |
When saying a sentence like: Nikola Tesla __ famous because he was a genius. Should the blank be replaced by is or was? Or is it dependent on when the person is/was famous? If so, what exactly are the rules? I searched on Google and English.SE but didn't find an answer, even after using quotes to counter the amount of stop words in the question... | 1 |
When I look in old mathematical textbooks from the seventies and before, mathematics is always upright. Their use of italic letters in other contexts, however, shows that this is not because of technical limits. On the other hand, all textbooks I have seen with italic math look very TeX-like. So I was wondering if this is a coincidence? could italic math be an invention by Knuth introduced in TeX? Does someone know the history of italic math? | 1 |
In compton scattering, a photon may deliver only some of its energy to an electron. But when dealing with photon electron interaction in an atom, it's all or nothing. Why the difference? Also, within compton scattering, given the initial wavelength of the photon, we get a relationship between scattering angle, and wavelength of the scattered photon. But we can't know the scattering angle without knowing the wavelength of the scattered photon. So there's a free variable. What determines the wavelength of the scattered photon? Is it some type of random process? Thanks in advance. | 1 |
Possible Duplicate: Is the word 'whose' referring to an inanimate object correct in this sentence? Is there a more appropriate word? Basically I'm wondering if a sentence like this is grammatically correct: "Meaning is thwarted by its delivery, whose poetry is relative to taste." I cannot avoid it with, "Meaning is thwarted by its delivery; its poetry is relative to taste" because 'its' seems to refer to 'meaning.' There needs to be a word like 'whichs' or something. Or is there? Please clarify my question if you know the proper grammatical labels for what I'm talking about; I know them not. | 1 |
I was going to post a comment on my own theory about Mars and Jupiter colliding, but I just read the rules and it breaks it...badly. I was looking for informal peer review. So my question is, has there been any mainstream published work about the possibility of planets colliding or interacting greatly? (Velikovsky doesn't count obviously, I'm thinking an actual scientist) (besides the Earth-Moon of course) I can't seem to find any. | 1 |
Question: Find a conformal map from the exterior of the closed unit disk to the unit disk. Also, prove that it is indeed a conformal map (bijective and holomorphic along with its inverse). I missed that the two days we covered conformal mapping due to chaos in my life. I have been trying to find worked out examples and have been reading up to get some insight, but I am lost since I can't find something that details a complete worked out problem. p.s. If anyone knows a great resource that would help me out to further my grasp of conformal maps in complex analysis it'd be much appreciated if you could disclose this. | 1 |
Consider the following situation. You are standing in a room that is perfectly circular with mirrors for walls. You shine a light, a single ray of light, in a random direction. Will the light ever return to its original position (the single point where the light originated from)? If so, will it return to its position an infinite amount of times or a definite amount of times? Will it ever return to its original position in the original direction? I thought of this little teaser when reading about a problem concerning rays in a circle and wondered about this question. As for my attempts, this is well beyond my skill. | 1 |
An proverbial anecdote I've heard for a problem solving deadlock is something along the lines of: A farmer needs to fix a bucket, which requires this, that then requires that and so on and so forth until it requires a bucket to fix the bucket. However I haven't been able to find this particular proverbial anecdote for a problem solving deadlock, so I'm wondering: What is the most common (folksy?) proverbial anecdote for describing a problem solving deadlock? | 1 |
What does this phrase from The adventures of Tom Sawyer sentence mean: "True, the knife would not cut anything, but it was a "sure-enough" Barlow, and there was inconceivable grandeur in that -- though where the Western boys ever got the idea that such a weapon could possibly be counterfeited to its injury is an imposing mystery and will always remain so, perhaps." Thank you! | 1 |
Given a Matroid (E,I), I is a set of independent subsets of E, right? And independent subsets means that no two of these subsets must have an element in common, right? Now according to the hereditary property of Matroids, if A is a subset of B which is a subset of E and if B belongs to I, then A also belongs to I. If A is a subset of B, then all the elements in A are in B, then how are these two independent? All the sets that are supposed to belong to I (i.e. A and B in this case) must be independent (i.e. must not have any common element) right? | 1 |
I am currently reading about the subject given in the title of this thread. The definition they give for equivalence classes in my textbook is a rather ostentatious in its wording, so I just want to make certain that I am understanding it properly. They say to let R be an equivalence relation on a set A, meaning that this this particular relation is reflexive, symmetric, and transitive, right? Essentially the rest of it seems to say that you can partition off the elements that make the relation reflexive, thereby creating a subset of the relation R. Does that seem right? I could really use some help, thank you! | 1 |
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