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Where does the word "bravo" come from? In Spanish, it can be related to bravery but I fail to see the connection with the congratulatory mode it's used today in spectacles and related activities.
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I believe there is also a computing or physics theory that contains this word. (i.e. "Something Theory") It's definitely at least two syllables long and I'm pretty sure there's at least one 'b' somewhere in the word. Thank you!
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In some physics theories like string theory we have notion of spatially extended quantum objects - strings, membranes etc. Assuming that such objects exist, how would they appear in experiments ? More precisely are there any thought experiments for determining whether a quantum thing being observed has spatial extension or not, and if it has spatial extension then what is its dimension, topology etc.
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I have seem one proof here. However it involves concepts like exterior algebra. For positive definite matrix there is a proof for Sylvester's criterion by induction. I am wondering if there is any simpler proof for positive semi-definite matrix. Thanks!
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I'm really tired of going through tons of wikipedia pages. Wikipedia is a good thing, but at one point one who wants to go deeper needs an ordered, comprehensive and formal treatment. Me at least. Therefore, I would like some recommendations for detailed and comprehensive books on plane geometry.
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I'm looking for a word that would describe something like a modern phone that retains a rotary dial. The dial's design was originally functional, but phone's function doesn't rely on the dial any more - it's just an aesthetic choice.
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I got these graphs from Wolfram Alpha. Can anyone please explain why the result differs by the order of operations for square roots? I thought the rule only applied to division, multiplication and subraction algorithms. Thanks.
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What's a non-judgmental way to say a person or group of people are "red necks" in the sense they may hold some very conservative or old fashioned beliefs. For example, someone who doesn't believe autism is a real medical condition? I realize any phrase for it may cause offense, but I'm aiming for the least possible.
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I want to separate my book into different volumes, I searched this site and there is no satisfactory solution. I tried to work around with a package called volumes http://mirrors.ctan.org/macros/latex/contrib/volumes/volumes.pdf However, after reading the manual, I still have no idea about how to use it, so can anyone just give me a concrete and compilable example.
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How do you describe in a phrase the movement of something that you may see through the corner of your eye ? Like a slight movement that the corner of your eye may catch ?
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My math professor has said that it would be useful to start with complex analysis before learning fourier series in the signals and systems course(I'm an undergrad EE). Do you agree with that and why ?! (I'm planning to learn complex variables from Brown/Churchil)
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If there are two spheres (hollow and solid) with equal mass and radius and we want to find the hollow sphere without using any equipment. What's the best way(s) to recognize the hollow sphere and solid sphere?
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Possible Duplicate: Impurity scattering temperature dependence Is there any temperature dependence of relaxation time in impurity scattering of conducting electrons? It seems to me that there is none. But, some people claim that there is. So if you could explain, how temperature dependence comes into play?
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When working in a professional setting, especially in administration or technical fields, common words/phrases/acronyms get used quite frequently. I've noticed that the more they are used daily, the faster they are physically spoken and the more relaxed the syllables become in the word, often making it sound completely different than when first used/spoken. Is there a term for this phenomena?
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Gravitational waves are continuously stretching and squeezing the shape of Earth. Using this fact, LIGO is detecting it by interference of light. But the Sun and Moon's tidal effects are also trying to stretch the Earth. Does this affect the detection of gravitational waves? If so, then how do they eliminate these effects?
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We will have a lot of skills, but certainly, we also have limitations. I don't know whether it's right or wrong to place "but" and "certainly" together. Since "but" is conjunction, while "certainly" is adverb here. Should i change it into: We will have a lot of skills, but, certainly, we also have limitations. Can you give me some help?
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What would the Heisenberg uncertainty principle and De Broglie wavelength be for a baseball that is not moving (i.e has zero velocity)? Also, since macroscopic objects like baseballs have extremely small wavelengths, would this mean a high frequency? If so, would this frequency not be dangerous as it would greater than gamma and X-rays?
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The Airy disk intensity formula is given in the mathematical details section of the Wikipedia Airy disk article in terms of the Bessel function of the first kind. I am interested in the asymptotic behavior of the tail of this function. Is it exponential or powerlaw? If powerlaw, what power? Can you give a Taylor series expansion? TIA.
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I know how this formula works and it is quite interesting actually but how would you prove this relationship? Through induction (seems difficult since there's no equation for prime numbers), but I'm not sure if there is any other way to show this equation. Any ideas?
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I am wondering if I can use the word "compensate" to mean "adjust to correct" something in a document for a programming/mechanic related subject? E.g. Can "position compensation of target objects" mean "position correction of target objects"? Thank you in advance.
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For every graph G, prove that (vertex cover of G) is less than or equal to (twice it's matching). I tried a couple of examples and it works but I can't follow a trend to build my proof. Does anybody know how to prove it?
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I noticed that when I throw salt into a cooking pot and then mix, the salt collects in the center. As salt is denser than water, I would have expected it to go towards the border of the pot, and not in the middle. What is going on exactly there?
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Today I realized that the word "Real" in "Real Estate" might be about "royalty" instead of "reality". English is a foreign language to me, so I don't really know the literal meaning and origin of the term "Real Estate". Might "Real" be an alternative term for "Royal"?
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Consider the example: I am happy to wait. In some publications, the function of the infinitive is called 'adverb'. In others, it is 'complement of adjective'. Is there a difference in the naming of the function? I've always learnt that adverbs do modify adjectives, and I'm wondering why the name of this particular function is not the same everywhere.
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I don't know how this phenomenon is called. Simply put, I can either put the noun to the end and place it's properties before, or I can use "of". What is the difference, is some form more formal and suitable for academic writing?
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A is a closed convex set with non-empty interior. Does A must equal to the convex hull of its boundary? I know this is false when A is half space. But what about other sets?
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All the games of the Fallout franchise start their intro with the phrase War. War never changes... I was wondering if this was an original phrase or was it from literature or some speech?
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I'm reviewing for a math test this Tuesday and just want to make sure I'm doing things right. If someone could check my work that would be great. Here's the question (work below): Here's my work: Thank you in advance!
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I want to know if this function is unif.conv. or not... Actually it is one of the my mid-exem problems. I got zero score for it.... What did I wrong in this problem? and What is the easiest way to see whether it is unif.conv. or not?
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Why is it common in English to address animals as "it"? It's not an inanimate or abstract object, they have a gender and they're alive. A chair, idea, tree, rock, etc are an "it", but why does English speakers address a dog, cat, bird, fish, etc as "it"? Isn't male the "default gender" in English?
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I have no idea what a good title for this question should be. I'm asking a database guy about a problem with our data. I'm considering phrasing it this way: Is there any other field or fields that have this property? Is "have" correct?
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So I've stumbled upon this question in Grimmett and Stirzaker's text. I have their solutions manual, which starts off like this: The line above, where the statement is expanded into sums, is where I'm stuck. Would be glad if someone could elucidate it.
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Possible Duplicate: Can a word be contracted twice (e.g. "I'ven't")? What is the correct way to contract "should not have", if there is one? "Should have" becomes "should've", "should not" becomes "shouldn't". Is "shouldn't've correct? It seems very strange to have two apostrophes in one word, but it also seems incorrect to skip an apostrophe where letters are omitted.
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Suppose we created a vacuum and spinned a turbine inside it with some amount of force. According to newton's second law it will keep spinning as there is no air resistance, so why can we not make electricity out of it?
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I'm not a native speaker so it might just be me finding this strange, but why is the auto in grand theft auto at the end? Shouldn't it be grand auto theft or something like this? I thought the expression described the crime of stealing cars?
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This question about alien species and planets brought up something I've been thinking about on and off for years. We capitalize names of alien races like Vulcan, Timelord, Cylon (well, maybe not alien), Krell, Nox, Minbari, and so on, but we never capitalize human. So how did we end up capitalizing names for sentient species when we don't do that for our own race?
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I am new to Latex. I have to write thesis for my MS. For that I search latex templates and find one template at http://web.mit.edu/thesis/tex/ I edit the template accordingly but not able to change the institute name. Can anyone help me changing the name. Thanks in advance.
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Telescopes have angular diffraction limit depending on the observed wavelength and aperture diameter. I've read that it's possible to go beyond the limit for microscopes. But is it possible to do the same for telescopes too?
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I have a memoir document, with custom settings for margins, headers and footers, etc. I just found out it is being printed single-sided instead of double-sided, and I was wondering if there is a simple command to treat all pages as odd pages. How can I tell memoir to format the even pages exactly as it would the odd pages?
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Which mathematical results has Lewis Carroll, the author of Alice's Adventures in Wonderland, produced? Wikipedia is very vague with regard to this topic and gives us little more than a matrix identity connected with his name. I would be especially interested in his most important theorems on mathematical logic.
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Keep on: "to continue doing something, or to do something many times." Go on: "a) to continue doing something or being in a situation. b) to continue without stopping". From Longman Dictionary of Contemporary English
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I'm looking for the most colloquial synonym for the term 'first class', in the meaning of 'first gathering of a course'. My reason for looking for an alternative is that 'first class' is too easily read as 'first-class', as in 'top-notch'. Would 'opening class' be correct and normal-sounding? Thanks in advance.
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Possible Duplicate: Preposition usage: on, in, and at I guess the difference is that when you say "I work on a project", it shows that your are the owner of the project, whereas "in a project" shows that you are the member of a project. Is my guess correct?
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In the movie As Good As It Gets, there is this dialogue: Simon Bishop: Thank you, Melvin. You... overwhelm me. [pauses] Simon Bishop: I love you. Melvin Udall: I tell you, buddy... I'd be the luckiest guy alive if that did it for me. What does I'd be the luckiest guy alive if that did it for me mean ?
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I am very familiar to the congruences in modular arithemtic, But sometimes I can see questions related to supercongruences but I couldn't find any information about it on google. Can someone explain what it is? and what is the difference with a classic congruence?
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In geometry, the set of points within a circle is called a disk (open disk if it excludes the boundary, closed disk if it includes it). Is there a similar notion for squares or rectangles? "A filled rectangle that includes the boundary is called a closed _______." "A filled square that excludes the boundary is called an open ________."
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The Hertzsprung-Russell diagram that categorizes star types uses the letter codes O, B, A, F, G, K, and M to indicate a star's temperature/color. Hottest (blue) is O and coolest (red) is M. What do the letters themselves relate to? For example, why is "O" used for hottest/blue?
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Does anyone know of any sources that talk about (or know what topics I can start looking at that relate to) the mathematics behind poetry, e.g., ratios of syllables, equations for meter, frequency of different sounds made in the English language etc.?
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There are several ways/methods to perform factoring. I am revising factoring at KhanAcademy, there are factoring by grouping, factoring special product and factoring difference of squares. Although, I can work on the exercise, but I do not really understand when to apply factoring by grouping.
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I am very confused with a question I have found in relation to Excel. I am hoping someone can help me do this or at-least give me direction in which I can figure out how to do this. So far I don't even know where to get started.
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we know that in a group G, if H,K be subgroups such that H is normal, then the product HK is also a subgroup. does the converse hold? i.e. if H is a subgroup of a group G such that for any subgroup K of G, the product HK is a subgroup, can we conclude that H must be a normal subgroup?
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What is a verb for illusion? I want to use it in a sentence like the following: The optical effect [illudes] my perception of its real shape. But illude does not exist. But I cannot find illude in my Dictionary (OS X Dictionary.app). I want to find a verb that is somewhere between deceive and confuse.
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In the fourth episode of Sons of Anarchy's second season, there is a scene where Bobby is wearing chaps and all the guys are making fun of him. Then he says: Cowhide can take the man-hide. I can't figure what it means! I would appreciate it if someone would explain the meaning.
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If you have a sequence of real analytic functions that converge on every compact subset in your domain, do their derivatives necessarily converge to the derivatives of the function that they converge to?
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Suppose you drop an object which has two ends, of which one is heavy and the other is pretty light. Will the object fall with its heavier end downward or with the lighter one? Why does it happen?
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The expression "It's all up hill from here!" and "It's all down hill from here!" mean that things will only get better or things will only get worst. Metaphorically going uphill can provide for a better position, while going down hill is easier. Which expression represents which way?
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Theoretically, if a black hole grew to a huge scale such that the effect of dark energy was large, could the black hole become 'normal' space again (i.e. no horizon or singularity)? What I'm trying to understand is, does dark energy 'uncurve' space-time?
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An electron and a proton are moving on straight parallel path with same velocity. They enter a region of semi infinite magnetic field perpendicular to velocity. What will happen there? Will both of them never come out of the field? Or they come out with same velocity at same time?
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How to determine the ground state of a classical field, for example an electromagnetic field? What is the difference between the the ground state of a classical field and that of a quantum field?
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What is the opposite of "abbreviation"? For example, if "ELL" is an abbreviation for "English Language Learners", then "English Language Learners" is a(n) _______________ for "ELL". I'm looking for a word that will work for all abbreviations, not just acronyms, so another example would be: if "abbr." is an abbreviation for "abbreviation", then "abbreviation" is a(n) _______________ for "abbr."
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This question was asked by one of my Professor during the class. I'm getting intuition that these functions should be one-one (I'm wrong maybe). But, I'm unable to classify all such functions. Please help in this!!
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As I understand, we do not have yet a unified theory covering at once both general relativity and quantum mechanics. However, do we have a theoretical framework completely covering both classical Newtonian gravitation (i.e. without space-time curvature or for not so massive gravitational sources) and quantum mechanics? Is there any reference on this question?
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Silly thought. A transducer, by definition, is a device that converts variations in one form of energy to another. An electric lamp converts electricity into visible light - the brightness may vary depending upon the electric potential applied. Is it correct to state an Electric Lamp is a transducer?
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This is part of a CNN news article I need to translate. I am not quite sure about what situation the phrase describes. Here is the part the expression comes from: "When did the light switch go off for you to say, oh, my goodness, things have really drastically changed and I'm in trouble if I don't change with them?"
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How to tell if a particular EPS figure has a TIFF preview and how to remove this preview? For some reason the Journal of Mathematical Physics don't want these preview to be there when uploading files.
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In Mathematics, often a theory becomes popular because it tells us something new or gives different proof for already established facts. For example, I have read that algebraic number theory is helpful because it helped us to solve some diaphontine equations (most notably, Fermat's last theorem). I want to know what kind of questions are answered by Galois Representations.
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I know most primality tests are probabilistic, but doesn't that pose a major problem to security like RSA that depend on the prime numbers always having no smaller factors? And if you can repeat the tests enough times to ensure that the number is prime, then would it be correct to say it's not probabilistic anymore?
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I heard the saying, "life of Riley" when someone was talking about my cat, and I wondered what the origin of the expression is. The only thing I can think of is that it comes from the name of someone who was pampered and lazy, a king for example.
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For example an electron radiates when accelerated. So does a positron. But is the radiation emitted by accelerated positronium the sum of the radiation emitted by each separately? If not, why not? If so, does this provide a way of testing whether a given neutral particle is composite? For example, does a neutron bremsstrahlung when decelerated?
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It's always puzzled me how objects with properties like rest mass and charge (and color) could really be geometric points. Is this just a fiction needed for the math to work? Could quantum field theory work with spherical electrons and quarks?
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Which of the following is grammatical? He wants to remain a cool kid for the rest of his life. He wants to remain as a cool kid for the rest of his life.
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I know how to calculate mean and variance of some given numbers but I have trouble computing them for probability distributions especially when it is a continuous probability distribution. For example, can you show me how to calculate mean and variance of Gaussian distribution?
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Can somebody provide an example of a network with a high clustering coefficient and a large average path length? A visual representation of such a network would be great. No reason for asking, besides that I think it would be interesting.
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Why do we need a weak convergence for the sequence in a Hilbert space to be convergent? A Hilbert space is a complete pre-Hilbert space, so, every sequence converges in a given space. Where is my confusion? Many thanks.
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I'm looking to find the width and height of a rectangle without rotation within a rotated bounding rectangle. I have rotation in degrees and the width and height of the bounding rectangle. Basically I'm looking to find the largest ( largest area ) un-rotated rectangle that will fit inside a rotated rectangle of any given size.
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I am looking for an example (with proof) of two norms defined on the same vector space, such that the norms on the two spaces are NOT equivalent, but such that one norm dominates the other...
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I am coming across the term: non-convex optimization problem. What exactly is this non-convex structure, and how do I know by only looking at the structure of the problem, I could tell it is non-convex and thus difficult to solve?
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Is there a word for the situation when someone takes something said in the most negative possible way, basically stretching what is said to fit the negative meaning that they desire it to mean. Example: "Maybe we shouldn't hang out." to mean: "I never want to talk to you again, you are cut from my life."
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when the sound barrier is broken, a series of concentric waves of sound is produced.Does it mean when the speed of light barrier is broken, a ripple of photons are created in the space-time fabric?
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This is purely a curiosity, but I'm fascinated by mid-word pluralization, even if the word in question is a compound word. For example, passersby or standersby. No others have occurred to me. Can you provide other examples, or a link to a resource that enumerates them? I'm particularly interested in compounds that do not include spaces or hyphens.
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After six months of looking for jobs, she got a reply from a job application she posted online from Macy's asking her to come to a interview. The sentence does not sound right to me, what would be the correct way to say this?
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I am trying to figure out how to solve the questions above for the given PDF but im not sure how to do the steps. I'm not looking for answers here as I want to know how to do it, just looking for the equations and steps for each part. I know the standard deviation is the square root of the variance correct?
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An essential part of a guitar is its hollow body. Without it, the strings wouldn't be very loud; as far as I know, the purpose of the body is to set up some sort of resonance and make the sound louder. How does this work? How can an isolated system amplify sound? Where is the energy coming from?
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For programming purpose, I'd like to compare the entropy of two Poisson distributions to the entropy of a single Skellam distribution. The entropy of a Poisson distribution is given in this wiki article. What is the entropy of a Skellam distribution?
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I am writing a sentence like so: "I bought the Dell laptop because not only did I find the price appealing but I also liked the the fact that the laptop had an integrated webcam." Is my use of ".. not only .. but also ..." appropriate? Is there a better way to phrase such a sentence?
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I know that 'Jutland', a part of Denmark, comes from the Danish 'Jylland', which describes the same region. But was that name just invented at random, or does it come from the verb 'jut', as the land juts out into the ocean?
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I have read that accelerating or oscillating electron emits photons. But why and how does it so? And why only photons? There are other bosons like gluons, W and Z bosons, so why does electron emit only photons? And what is the mechanism ?
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When we write a business email and want some information from the mail recipient, then which is the most professional way to ask for information? Does using "please" in a sentence make it look bad?
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I recently went through some important numbers like the Stirling and Bell number for calculation of partitions /equivalence relations. I was wondering if someone can help me get a list of important numbers and their applications in Combinatorics ; like Catalan , Fibonacci , Stirling etc.???
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For example, the word "jihad." Translated, the word means "struggle" or "strive" and I am sure there are others. The word "jihad," is just taking the pronunciation of the word in the native tongue, and spelling it phonetically in English. Is there a specific word for that?
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Why do some pressure cookers initially leak steam from the sides and after a while settle down and don't leak? Is it a positive feedback mechanism from the building steam which makes the sealing tighter and vice versa?
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I have a distance matrix M and have used multidimensional scaling and it gives me some eigenvalues. How should I interpret such eigenvalues? Do they show some sort of variability or what? More practically, I really cannot understand the real meaning of eigenvalue. For example I can understand |M|, but I have no sense about the eigenvalue.
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I heard that If we travel for long distances in the direction of the rotation of the earth, we can gain some extra hours in the journey. Is it true? What if we travel in the opposite direction?
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The multline environment does exactly what I want in splitting a long formula between lines by utilizing the horizontal space to the fullest. (I don't want the alignment features of the align environment.) The problem is, I want to vertically center the equation number, as opposed to making it appear on the second line (as it does by default). How do I do this?
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Is it possible to create a head-mounted optical device that allows the user to see the wind, by means of thermal imaging / infrared detection, variations in the light's refractive index, or something similar?
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I wanted to ask about the exact meaning of pathology. Is it just for disease or can we use it for other things? I mean, for example, if I want to talk about the determination of harms in culture or technology, can I use the term "technology pathology" or "culture pathology"?
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I am writing a paper on a dystopia and how the leader came to be. I need a term to describe how he wasn't elected into power but he just assumed the role of instigator and no one questioned him.
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Caroline wondered whether there were coffee shops and restaurants in other galaxies. She imagined them installed on floating asteroids, or in the rest area of cosmic highways. Since the universe was so infinitely large, how couldn't there be at least one or two? Is installed a good term to use in this case? If not, are there other better options?
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Why in adiabatic compression and expansion small volumetric change occurs while in isothermic compression or expansion very small pressure is applied and volume changes very significantly i am referring to PV diagram of Carnot engine?
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This question is about font in Tex. I want to make my Tex output have the font as in this book https://www.math.wisc.edu/~boston/ddt.pdf but I do not know how. I have no idea where to begin. I appreciate your help!
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