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I've just learned about removable discontinuities. So, when we have such a function we redefine it, making a new function that is defined at the point the first isn't. What is the point of this? What advantages do we get? Wouldn't making it continuous cause problems when we use it instead of the old one?
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We all know that we can see anything because of Light Absorption and all. We can hear things because of caused vibrations. But what makes an object smell? I read somewhere about the presence of odorous chemical compounds in the objects which makes them smell. Then, What gives smell to those odorous chemical compounds?
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If a hypothetical cylinder was infinitely long, could it vibrate at any frequency, since any frequency would be a harmonic of it? And (less hypothetically) if a cylinder was only really long, would it have a similar effect? I'm talking specifically about sound waves (and more specifically, trumpets).
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Is it possible to use the character set available in the "Webdings" OpenType font which is installed on my PC using XeLaTeX? Other non-symbol fonts seem to work fine, but I just get boxes for every character I try in this font, and other symbol fonts like Wingdings etc.
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When are two natural transformations between two functors considered the same? When are two morphisms in a category considered the same? Do we have such a notion like we have in Set theory? Thanks
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Does the adjective Machiavellian always have a capital letter? For example: The Machiavellian Iago manipulates Othello into believing his wife, Desdemona, had an affair. Not sure if this is anything to go by but, Microsoft Word corrects the word to have a capital. I am not sure if this is also the case when it is an adjective.
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Does a diagonal matrix commute with every other matrix of the same size? I'm stuck on one line of a proof that I am writing, and I would like to switch order between a non-diagonal and a diagonal matrix. Thanks,
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I'm trying to find a simple and easy to understand example of a free module that has bases of differing sizes. We were told about the existence of them in class but no example was given.
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The name of our research center is Southeastern Transportation Center, STC is the acronym, of course. In writing, I use STC, not 'the STC' but our director says 'the' is needed so that it reads well. For example, I write: STC supports graduate education.; director says it should be The STC supports graduate education. Ruling?
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I'm confused by this sentence: "Lakesha hopes to win the approval of her mother by switching her major from fine arts to med." I think that in this case hope is intransitive, and I think the part "to win....mother" is working as an adverbial infinitive phrase. Is it the object?
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I can't clearly get this phrase. Is it related to the "kick out the jams"? Or "jam" means the song/jazz improvisation, so what does "kick out" mean in that case? The context is "they are kicking out the last jam of their set".
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Okay, so everywhere I've read, I hear the main difference is the requirement of a medium. But for example, if you take the case of heat 'radiating' from a red-hot iron, isn't that actually convection and not radiation? I mean, isn't the temperature difference between the surrounding air and the iron causing the air to gain heat?
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I'd like to use tikz to shade an isosceles triangle with points A B C and length of AB and AC are equal. Shading should go from AB (red) to AC (green) where the color on a line through A always stays the same. I have found such a shading for circles but unfortunately not yet for triangles... Thanks in advance Jan
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My teacher gave me an error identification question, which is : "An itch resulting when a nerve that can carry pain is only slightly stimulated". I have a feeling the word "resulting" is a fault but don't know how to use it properly or if it needs change. Please help me.
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Is it possible to use the phrase: "We are meeting at last" when two people meet for the first time? For example, in a movie one person said: "We meet at last". Why did he use the present simple instead of present continuous? I mean, this was an action, which was happening at the moment of speaking.
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What is the physical meaning of the fractional integral and fractional derivative? And many researchers deal with the fractional boundary value problems, and what is the physical background? What is the applications of the fractional boundary value problem?
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The question and my attempt can be found here: https://i.stack.imgur.com/WSkbv.jpg I don't quite understand what i'm suppose to do. It says to prove the inequality with whatever so I tried to substitute and then factor and I thought it would just work out, but it didn't. Thanks
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Speaking of probability distribution, Can someone kindly tell how and when I use binomial distribution and uniform distribution in real life situations? I understand their mathematical formulas but I want to be able to choose the right one to perform when a certain problem is given to me to analyze. Thank you in advance.
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I have seen lots of answers proving this theorem via induction. However, I'd like to know how to prove that every digraph such as all vertices have in degree equal to its out degree is Eulerian, using the concept of maximum trail. Does anyone have a clue?
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I have a question in my text book that asks me to simplify the above expression. I reached the solution: However, the textbook gives the answer as: I appreciate that the value of these two expressions is the same. However, I am unsure as to how and why the answer above was reached instead of my answer.
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I'd like to draw a partial arrow (i.e. with only "half" of the tip) but with a triangular tip shape (e.g. using >=latex), instead of the standard single line you get with "left to", "right to", etc. The result should be something like the following image: How can I achieve this? I haven't seen any such tip in the TikZ/PGF manual.
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I would like to find a suitable word, that summarises data like different body parts' circumferences. What I could think of is 'Body Information', but it sounds bad at least for my non-native ears, and I don't know whether there is something better.
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CERN recently stated that antimatter may be repelled by matter, much like the opposite effect of Gravity. So is it possible that antimatter is actually repelled to the edges of the Universe to create a sort of outer-shell, something that allows the expansion of the Universe into nothingness.
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I am interested in having a local change to the default theme of beamer. I want every title in the beginning of a slide to be boldfaced, black (instead of purplish, black) with a horizontal line that stretches below it, with some margin between the line and the end points of the slide. Is that possible to do with beamer?
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Dictionary.com lists plagiarist as the noun form of plagiarism and lists plagiarizer as the noun form of plagiarize. I do not see the distinction of the separate entries and expected both words to be listed as noun forms.
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I was studying a photoelectric simulation (http://phet.colorado.edu/en/simulation/photoelectric) and I observed a really unusual thing. When I held intensity and potential at a constant value and then varied the frequency I observed that there was peak in photocurrent. That is, it first increased when moving towards ultraviolet and then decreased. Please try it yourself and explain.
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I am a graduate student. I wanted to do computation on heat transfer problem mainly heat convection. I am working on turbulent regime. Can you kindly suggest some good books so that I can get introduced and then use a few as references for my research from a physics perspective.
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How flexible is the measurement "a dozen"? If there are nine hundred and ninety-nine thousand people at a rally it is acceptable to say one million people attended, but if eleven people are arrested is it acceptable to round up to a dozen?
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Offhand, I'd say it's a variation of the bouffant with a bun on top. It transcends generations. Here's a fairly famous painting by John Sloan: And, almost a hundred years later, here's Captain Janeway:
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I am writing a paper on terrorism throughout social media, yet I cannot find a way to phrase the state of horror within a country. My sentence is as follows, "Terrorist attacks are detrimental to the families of its victims as well as the (state of horror/fear) within the country."
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If I had bought insurance for the trip, I would have got a refund after I got sick and had to cancel. OR If I had bought insurance for the trip, I would have got a refund after I had got sick and (had) had to cancel. ?
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Obviously experiment is the end-all-be-all of any science, but I'm curious if there's any a priori reason to model space as Euclidean three-space (from a pre-relativity viewpoint, of course; I'm ignoring the fact that space is only locally Euclidean). I'm comfortable with differential geometry if it's necessary.
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Note this question is not a duplicate of this question because that question does not address the use of "far more". It sounds strange to me but it's probably perfectly fine. "Many more" or "far more people" sounds better. The example sentence: Much more people came to the party last time.
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The situation is as shown above. Now, to explain why the bottom disk rises, I applied Bernoulli's Equation at a point just below and just above the disk.The pressure difference hence obtained should push the disk up. Even though this is definitely incorrect, as these two points are not on a streamline, I have no clue as to the correct explanation.
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A line from William Golding's The Lord of the Flies: All round him the long scar smashed into the jungle was a bath of heat. Is it just me or does the sentence seem grammatically off?
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Several species of fish have names that are both singular and plural form. These include cod, flounder, salmon, and trout, they are used to describe one fish or ten. Does this stem from fish being both singular and plural? Was the irregular plural form passed along to the species of fish?
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According to OED, the most common use of "terse" is: Freed from verbal redundancy; neatly concise; compact and pithy in style or language. I've see some usage of terse conciseness, or terse brevity, or similar constructions. To me that seems redundant, even ironic. Am I wrong?
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from my understanding,every set has at least two subsets; the null set and the original set itself. My question is, what is the power set of the null set? Shouldn't it be just itself?
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Can I somehow use natbib with beamer now? When I try to load the natbib package the file does not compile. There is some old evidence that there is a conflict here: Beamer and Natbib. But maybe this is now rectified?
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I am currently spending some time creating a (partial) Liferay translation for the Greek language, and I came upon this original English message text: Your request processed successfully. Can the verb "process" be used intransitively in this manner? Or would this be the correct form? Your request was processed successfully.
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John Von Neumann once said to Felix Smith, "Young man, in mathematics you don't understand things. You just get used to them." This was a response to Smith's fear about the method of characteristics. Did he mean that with experience and practice, one obtains understanding?
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What is the word to describe the phenomenon where at first nobody has the intension to clap (after a performance, lecture, etc). But suddenly one person starts clapping loudly, breaking the silence, and there goes the applause! Everyone starts clapping!
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I vaguely remember there is a notion of numbers rich in divisors, i.e. (number of divisors of N)/N is comparatively large. What's their name? Given a number M, how could I find such a number in its neighbourhood?
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What does the following sentence mean? This menu will be shown to all users but John. Does it mean that the menu will be shown to all users except John or only to John?
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"I gave him two dollars." This tacitly means "to him". Are there exceptions to the rule that an indirect object in English always means "to" or "for"? In English, "I stole him two dollars" does not mean "I stole two dollars from him", and one does not say "I withheld him that information" (either of those usages would be valid in German).
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What is the word for the action of telling the horse you are on to move forward, turn left, turn right, or the like? I assume "driving" would be the easiest to understand, but it sounds like it does not fit a living thing like a horse. The word "controlling" seems most accurate, yet controlling an animal gives negative connotations, does it not?
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I am not looking for a good book but an appropriate book that is suitable for my logic course. Currently the professor only offers lectures. (Not sure why, perhaps there is no universal approach to logic, so no suitable book?) Ideally, the book contains question similar to the question I asked here. Any suggestions would be very welcomed.
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Is there a way to add a hyperlink to a reference from a bibliography (bib/bbl) in an image (created using IPE)? I want to create an image with text that when clicked directs to a reference in the bibliography in the document.
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How does one construct skeleton diagrams from specific Feynman diagrams (e.g. for the electronic Green function in QED and in many-body gases, for the polarization function, for the vertex function, for the photon Green function, for the phonon Green function)? Explanations and references for actual constructions would be greatly appreciated. What is the use of skeleton diagrams in qft and in many-body physics?
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I guess the answer is NO, for polynomials. I know that there are more than one series expansion for every function. But I am talking about power series here. All Ideas are appreciated
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What, if any, is the difference between the two? My best guess is that a 'roundel' is the traffic island or structure that you drive around, while the 'roundabout' also includes the road you're driving on.
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Which one sounds better or is correct? I managed a number of challenging projects, such as / which included (...) designing new electronic devices (...) the design of new electronic devices (...) new electronic devices design
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What can be said about the determinant of a matrix when its rows (or similarly, columns) are unit vectors? Do such determinants have a geometric interpretation? For example, in the two-dimensional case, the determinant of two unit length vectors is the sinus between them.
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What insights does category theory offer in terms of grand unified theories? Any references to books or papers that give categorical descriptions of any of the common grand unified theories would be helpful.
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I was told by a fellow student that sometimes one cannot represent certain functions by a taylor series. I was also told that sometimes using a taylor series in a proof is invalid. Is any of this true? When is it invalid to use taylor series expansion? Edit: By certain functions, I mean well behaved functions with nice properties, entire, countinuous, etc.
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I was wondering how to get in my acronym list ":" (colon) after the short abbreviation, for example: I want to get UV: Ultra Violet but I keep getting UV Ultra Violet without the colon.
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Two circles intersect in points B and A. Through the point A is drawn a line that intersects the circles in points C and D. Prove that the measure of angle CBD is a constant value for any line that is drawn through the point A. Thanks a lot for your possible help!
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Is there a more formal synonym for "doing one's best"? For example, as a formal document title: "Is the government [doing its best] to..." Or is it suitable (i.e., sufficiently formal) as it is?
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One which is influenced and steered by pressures from a government which itself is corrupt. Doesn't sound too unfamiliar today, does it? Anyway, it is to help me translate a German word "die Systempresse".
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It's widely known that the name "JavaScript" is trademarked by Oracle (formerly a trademark of Sun, formerly a trademark of Netscape). What was formerly a trademark of Netscape? Sun? Oracle? JavaScript? How would one recast the sentence to unambiguously give each of the alternate meanings? [EDIT] The sentence is merely an example. The question relates to correctly structuring a sentence for clarity.
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(ignoring the air resistance that causes the bottle to take positions in mid air. Let's say it is dropped in a vacuum with earth's gravity accelerating it downwards) I just cannot catch what happens with the bubble with my bare eye, and I thought I should better ask some experts :)
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What is a formal word/phrase that describes a person who always searches to benefit from other people? It is hard to recall the word in my own language to translate. So I decided to give it a try and ask here. I prefer adjective
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I understand that torque is defined as the cross product of the difference vector between the point of impact and the center of mass and the force vector, but what happens when the impact is over an area? Do I just find the center of the area and use that as the impact point?
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When would you use "expert in" and when would you use "expert on"? A quick google search yields about the same for both, but I have a feeling "expert in" can occur in sentences somehow with a different meaning altogether.
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Given an acute triangle ABC with altitudes AH, BK. Let M be the midpoint of AB. The line through CM intersect HK at D. Draw AL perpendicular to BD at L. Prove that the circle containing C, K and L is tangent to the line going through BC
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Is there a word that references someone's "humanness"? Something that one would posses, that would characterise them as human. I wouldn't say "human" in terms of morals, but "human" in the most literal sense. I'll give an example: "He demonstrates extreme physical ability, to the point where I question his __". What would be the most appropriate way to express this?
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I don't have any knowledge of statistics beyond high school common sense. Why is the standard deviation usually seen in combinatorics textbooks, and why is the standard deviation defined intentionally? What is its purpose? Thanks in advance. I have checked in Wikipedia and many other websites to see what this is, but they are not very concise and clear.
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Possible Duplicate: Proof that Pi is constant (the same for all circles), without using limits How can you prove that the ratio of the circumference to the radius is a constant (regardless of what the constant is) using elementary geometry. Thank you
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Is the concatenation of two arbitrary alphabets is considered an alphabet ? Also Is the set of all Java reserved words is considered an alphabet ? I am inclined to say yes. We could take a string and consider it a symbol. What do you think ?
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This might be too general question, but still, I think this may be some useful question. So, what math branches are there generally? (for example, one branch would be abstract algebra, differential geometry etc.) Or what math branches are recognized in undergraduate math programmes?
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I have been trying to find a quick answer of this, but my google searches didn't get me anywhere. I'm confused about using in or on in the following sentence. We will return your call in the following business Day or We will return your call on the following business Day Thank you
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I can't find a reference for a set of generating vectors for the Tetrahedral-octahedral honeycomb lattice. I would like to know the "canonical" set and if possible a more general set described by angles (I think it would take three angles to completely describe it but I'm not sure on this either.)
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Is there a word that describes a concept which loses its power when put into words? EDIT: For example, the context could be a philosophical (or pseudo-philosophical) idea like "zen" attitude. When a monk can not tell his pupil directly how to achieve enlightenment because the idea is _____.
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I used VerbTeX app in my Android phone. But this app does not support XeLaTeX and requires an internet connection to be used. Is there any distribution of TeX for Android? How I can install TeX on my Android phone?
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Can anyone show me or direct me to a (free, online reference of a) FULL proof of Green's and Stokes' Theorems? I have been looking and all the proofs I've read prove the theorems for a certain class/type of surfaces/regions...but does anyone know of a general, complete proof?
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I mean I will continue to work for this company for maybe some months or some years, so can I use "for some time" as I mentioned in the title. What would a native speaker say? Thanks in advance.
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In The Econometrics of Financial Markets by Campbell, Lo and MacKinlay -- a beautifully typeset book -- I have found gorgeous cross correlation matrices of the style below. What is an elegant way to typeset these labels for the rows and columns in LaTeX (ideally in conjunction with the amsmath matrices)?
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Is the concept of a field just a mathematical construct? Is there any way to realize its existence? For instance, the fact that moving a charge affects other charges in the surrounding not instantaneously is explained in terms of the existence of an electric field. Is there no other approach to this problem?
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For example, If this van's a-rockin', don't come a-knockin' Here We Come A-caroling (song title) Come on-a My House (song title) I have a few related questions: What is the "a-" or "-a" called? Is there a function beyond a rhythmic one? Why is "a-" attached to a word at all -- and why attach to a word at all?
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Shade-off and halo effect introduce distortion to phase contrast images. I am trying to utilize these features to write a program which could identify spherical cells from (positive) phase contrast images. Since cells are not necessarily of the same diameter, I want to figure out the theoretical intensity distribution. Could anybody give me some hints?
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Say a rotating ball or neutron star gets completely annhilated to energy by meeting its anti-matter counterpart (also rotating in the same direction), what happens to the angular momentum? It cannot disappear due to conservation laws.
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A polar coordinate function f(x) can be rotated around the axis by h with the shift f(x - h). However, this rotates the graph. Is there a way to shift a polar coordinate function by x and y measurements? If so, what is it? Can it be done for all functions or only a subset?
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In what ways did the points made by the writer in the introduction contradicts her conclusion? (In the question listed above, shouldn't "contradicts" be written as "contradict" - since we are referring to the "points" made by the writer?)
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Any idea how can I automatically invoke Mathtype from texstudio using macro (javascript) and put the formula back onto texstudio automatically. It can be done manually, but I want to know is it possible to do this in an automated manner like when invoking mathtype from word.
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Usually, when we see two letters put together it is to define the pronunciation or to differentiate synonyms or just its foreign origins. But some words don't seem to have any reason to double up. Why does vacuum have two of the letter U? Why does aardvark have two of the letter A? Why does llama have two of the letter L?
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In the following sentence, should I use 'who' or 'whom?: An Open Letter To Those [Who/Whom] I Have Hurt I googled the usage and it said to test by replacing with He/She or Him/Her representing Who and Whom respectively. I don't think that applies in this situation.
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What is the difference between gain optimization and gains optimization in a financial context? I want to know in particular if one of those terms is better English, or if they have different meanings.
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I've come across the phrase "take tea" in some sentences, and reckoned it is used as an idiom and not meant literally. For instance, "Children to compete for chance to take tea with the Mad Hatter." That sounds like an interesting pun. What does it mean, and what are its origins?
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I'm considering two books to learn vector calculus at a level beyond that presented in standard calculus textbooks such as Thomas' or Stewart's, and more applied than a very rigorous text like Munkre's manifolds. Which one covers more advanced topics? Which one is more rigorous? Which one is more applied? Marsden's or Colley's Vector Calculus?
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A person belongs to a different country than the one she is currently in. She is clearly a foreigner/alien. But what is the single word for the discrimination faced by her when the natives of this country constantly call her a foreigner in order to point out that she does not belong here? In other words, what's the word for domicile based discrimination?
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Is there a derivation of the magnetic field from the electric field of a charge q moving with speed v? (I know that there are some online, but my limited knowledge in multivariable calculus does not help in understanding such derivations.) I understand conceptually how a changing electric field can produce a magnetic field but I do not understand it mathematically.
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Call a set finite if there is a bijection of the set with some natural number, and call a set infinite if there is an injection of the set of natural numbers into that set. How do you prove that sets which are not finite are infinite? Does it require using the Axiom of Choice?
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For example, if I wanted to know what the product/coproduct is in a certain category, I could find it on that site. I commonly come across websites (such as wikipedia) that give a few examples of some categorical concept. I would like a site with a large database which is constantly updated.
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So I always hear that you can't disturb quantum computers because this will ruin the particles superstate. Well, how do we know WHEN to retrieve the result from the calculation? How can we determine when the calculation is finished, without observing it?
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You go to a store and buy a product that sounds like it's the best deal. But then you get it home, and it doesn't deliver. What does deliver mean here? Does it mean It doesn't work as you expected?
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Thanks for reading my question. I'm wonder why a symplectic form should be closed. I found many different answers in the internet, but it sounds like a technical requirement (if we omit this requisit, we obtain almost symplectic structures, insteresting as well). Why do yo think? I just want to have a fresh perspective. Thank you in advance.
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I recently came across the term encampment. Although I could understand that the word must be very close related to camp, it bugs me that I don't understand why such a long word for the same thing exists. Is encampment a more sophisticated word than camp? The translation for both words refer to the same words in my mother tongue (german).
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I'm self-studying now and I've found an exercise. Matt ... while we were having dinner. The correct answer is phoned. But I couldn't figure out why was phoning is not a right choice. There is some logic in this answer because Matt is doing a continuous action. Maybe there is something in usage of while I don't know yet?
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Wolfram isn't helping me much so I am curious if there are other programs out there. I don't know what degree it is, but I have a series of numbers and I'd like to determine the linear recurrence function/coefficients so I can find any value I want via matrix exponentiation. Are there such programs for interpolating, and how would I do it?
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According to reputable sources, sideburns is a corruption of burnsides, a reference to the Civil War General Ambrose E. Burnside. What was this style of facial hair called before that? I'm referring to side whiskers and a mustache with a clean-shaven chin. Also, is there any difference between the original sideburns and friendly mutton chops?
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