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The plural form of leaf is leaves, although according to Merriam-Webster leafs is also correct. Dwarf can be pluralized as either dwarfs or dwarves. Conversely, the words roof and safe are pluralized as roofs and safes. Is there any logic underpinning these variations? Is there a historical trend where words that were previously pluralized as -ves are now being increasingly pluralized as -fs? | 1 |
If the question state: A connected and undirected graph, then does this graph allow loop or multiple edges? I searched over the internet, but some allow, some don't. It's so confusing. Any idea? Thank you. | 1 |
I am doing Spivak's Calculus, and I find it EXTREMELY difficult. I usually ask questions here because I cannot do the problems on my own. How long should it take to do a Spivak problem? Is it preparatory for contest problems such as Putnam? Thanks! | 1 |
For a long time I was wondering why there is I win instead of I won. I met such usage in a lot of games and movies. For me, it's logical to say I won, because this winning action is done already. I win for me seems like I'm winning right now. Can anyone clarify this for me? | 1 |
Palindromes are words, sentences, numbers that are the same forwards and backwards. Is there a term for words that are one word forwards but a different word backwards? For example, star backwards is rats, or god is dog. | 1 |
Are there any good books on musical theory from a mathematical standpoint? Is "Music theory and mathematics : chords, collections, and transformations", edited by Jack Douthett, Martha M. Hyde, and Charles J. Smith, one on them? | 1 |
As far as I know, it is valid to say "they can produce music on their own terms" when you want to say that a group can produce music without having to answer to anybody but themselves. Is it also valid to say "they can produce music in their own terms"? Does this convey the same thing? If not, what does it really mean? | 1 |
I've recently discovered a guy named Gary Vaynerchuk. At his Youtube channel he named himself as garyvee. Besides his last inital is V (spoken vee), does the double ee has any meaning ? | 1 |
The proof featured at http://planetmath.org/newtonsmethodworksforconvexrealfunctions shows that, roughly speaking, Newton's method is unconditionally convergent for convex/concave functions. I am looking for a textbook or paper reference of this fact. I have found part of it in Michael Spivak's Calculus: | 1 |
What is it called when a letter is within another letter? For example, the letter O within the letter L: Edit: Or the first C in the Coca-Cola logo: Does this arrangement of type have a name? | 1 |
I am aware that the plural of metropolis is metropolises, but to me it sounds stilted and to be honest I cannot recall ever hearing it used. Is there an irregular plural of metropolis that would be in a less formal register. Any common mistaken pluralizations? | 1 |
I have bought many books about vocabulary. Most of them by Cambridge Press. However, I don't know if it is the right way to learn vocabulary from a book like those or is it better to pick new words while reading! Any studies around this? | 1 |
In LyX I accidentally clicked 'Version Control' -> 'Revert to Repository Version' as it's just below 'Check In changes' option. This resulted in loss of all work since last check in, and using 'redo' is not possible. Is it possible to undo a revert like this? | 1 |
I'm in the process of purchasing a house and reading through the contract, I can't find a single instance of the comma. (As if legalese wasn't hard enough to read already!) This includes the segregation of sentence clauses, separating lists, following certain leading adverbs (however, therefore, etc.), etc. Are commas considered superfluous in legal documents? Perhaps just property documents? | 1 |
The usual mantra of a quantum field theory is that real particles (as opposed to virtual ones) are excitations of a field. Is this a necessary property of all (operator-valued) quantum field theories? Are there any theories currently in existence whose fields do not or cannot produce real particles? | 1 |
What do we mean when we talk about a topological space or a metric space? I see some people calling metric topologies metric spaces and I wonder if there is some synonymity between a topology and a space? What is it that the word means, and if there are multiple meanings how can one distinguish them? | 1 |
Should it be "find your company's zen" or "find your companys' zen"? Or perhaps another? I am convinced it should be "find your company's zen" as it suggests ownership of said zen, but I want to be sure. What should it be? | 1 |
I'm creating an application that has a checkbox to assist colorblind users. I'm not so fond of the term because it isn't accurate, but at the same time I don't want to seem overtly politically correct. A couple of options I'm juggling right now: Colorblind assistance Reduced color perception assistance Color perception assistance Problems perceiving colors? | 1 |
Can someone help me understand what's going on here? This is for a problem involving moment generating functions, which is related to statistics and probability, but I figured it was more of a math questions. The whole expansion is below: | 1 |
My first question here..sorry if I'm not very specific but I try to be. A T-tetromino has three connected blocks in a line and another one above the middle block. How many ways can one be painted on the grid if orientation matters? What about if it doesn't? | 1 |
I thought that Empty was the word, that besides its original meaning, could be used when you refer to some abstract idea, like "I feel like my soul is empty today". However, recently I've encountered the word Vacuous in the same abstract contaxt "That idea is vacuous". So what's the difference between those two? | 1 |
Does anyone have any suggestions as to what is a good topic for a short talk on theoretical physics to a bunch of Math and Physics undergrads that might make them "embrace" theoretical physics? Thanks. (Brain storm: String theory, quantum tunneling, etc...?) Also it would be great if someone could suggest some resources. | 1 |
While the moon is certainly not a good reflector of solar radiation, surely the radiation it reflects back heats the Earth (even if it is a terribly small amount). How would one go about calculating (or estimating) this heating contribution on a night with a Full Moon? | 1 |
I need to rewrite my article to fit in the format of Hindawi Special Issue Cloud-Oriented Data Center Networking. After searching their site, I can't really find any useful information about formatting, they only mention that pdfs and docs are accepted, nothing more, any LaTeX template is given. What should I do? | 1 |
How would you say "I'd like to get off the medication" not using the colloquial phrasal verb "get off"? I.e., something that you'd hear someone well-versed in the English language say. For example, can someone fill in a word or phrase to complete the following sentence: I'd like to be ___ medication by next month. | 1 |
I had a question on LCDs after noticing something interesting about its color. LCDs are black when they aren't used. But when we observe LCDs closely, we see they are made up of red, green, and blue dots. Therefore, since they reflect red, green, and blue, collectively, an LCD screen should look white. So why does it look black? | 1 |
How can I create a blind footnote such as the one in the picture below? By blind I mean that there is no number in the text, or in the footnote. I would like to have this footnote on the bottom of the first page of my document and all the other footnotes in the document should be unaltered. | 1 |
What is an example of a prevariety in which the intersection of some two open affines is not an open affine? My examples of prevarieties that are not varieties does not extend beyond the affine line with the origin doubled. My guess is that the plane with four origins might give an example but I don't see how. Thanks. | 1 |
I used to read the term "pure energy" in the context of matter-antimatter annihilation. Is the "pure energy" spoken of photons? Is it some form of heat? Some kind of particles with mass? Basically, what does "pure energy" in the context of matter-antimatter annihilation refer to? | 1 |
One thing I love about English is that verbs can be easily created just by adding the suffix "-ing" and adjectives by adding "-ly". How would you call this phenomenon? Examples: Googling, Youtubing Pants-shittingly | 1 |
We have a scalene trapezoid. We know AB and CD bases and the diagonal AC. Be P the point of intersection of the two diagonals. Is it possible to find the general expression for AP? I would like to know the formula for AP, if it exists, depending on AB, CD, AC | 1 |
I have a circular area, and I need to distribute a certain number of points in this circle in a Poisson Distribution. Functionally, how would I be able to distribute the points in a Poisson distribution? If I were to just place the points as 'randomly' as possible, would that be good enough? | 1 |
Are there any simple "experiments" that can be done in a high school science lab that could demonstrate some sort of basic principals of wormholes or spacetime? Or sort of proving how long something would take to get through a wormhole or why you wouldn't be able to travel through them etc. | 1 |
I'm not sure I understand the question. As far as I understand it when it says vector space of dimension n, it signifies that there will be n amount of vectors; right? So basically it wants you to prove that a set of two vectors can't span a set of three vectors? | 1 |
If we have a smooth football in the shape of an ellipsoid, and that water runs down on its sides, can we trace the path of a water drop on it? For a sphere it seems easy because the force tangential to the surface is perpendicular to the radial vector whereas in the case of an ellipsoid it isn't. Any help? | 1 |
Is it possible to create a picture that would look like this? I have solved a problem that also asks to draw a similar picture. Don't want to ruin my document by inserting a picture of the drawing by hand (see below). Any insight is greatly appreciated. | 1 |
I downloaded both TeXnicCenter and MiKTeX on a new PC. When compiling a file (which was made on another pc), I get the error ctable.sty not found. Then I get the suggestion to download the correct package from the internet, but it does not work. How do I choose the correct "remote package repository" in the given list? Thanks for your help | 1 |
I am not a native English speaker and there are some grammar mistakes I do a lot, especially have/has in conjunction with each/every, and so on. Q: Is there some way to highlight all occurrences of some words (from a list I specify) in a document automatically? | 1 |
Can we reconstruct a polynomial with only Y values? What if the number of Y values are far more than the degree of the polynomial? Also can we obtain the root of this polynomial with this Y's value without interpolating?(i.e. without knowing the coefficients of the polynomial) | 1 |
The potential for the Higgs field is a quartic one (Mexican hat). Is this done for simplicity or are there fundamental reasons for this choice? I can imagine further contributions to this potential without altering the essentials, which may lead to differences in the derived particle masses. | 1 |
If photons don't interact directly, how can electromagnetic waves interfere? I know that photons can scatter via higher order mechanisms, but not directly. Does those mechanisms explain the classical phenomenon of wave interference? | 1 |
Where do the formulas for reciprocal lattice vectors come from? I recently began studying tensors and the same formula's appeared yet again, this time called dual basis vectors! This reignited my interest in a derivation of the reciprocal lattice. Can someone provide some insight into this? | 1 |
This question presumes that vanilla texlive is superior and thus deserves to be installed despite the troubles over Ubuntu apt-get. What exactly are these benefits? I'm considering going back to texlive via apt-get due to some issues in Rstudio and knitr, but want to fully understand the trade-offs. | 1 |
We have the following graph: whose every line is colored either red or green. Prove that in every possible coloration there exists one red or/and one green triangle. This problem was introduced in reference to the Dirichlet's box principle. | 1 |
I came across the word "cable" very often in http://www.guardian.co.uk. Like: WikiLeaks cables: Drive to tackle Islamists made 'little progress' US embassy cables: How the Guardian protects sources WikiLeaks embassy cables: the key points at a glance I know what a cable is, but what does "cable" here mean? | 1 |
Is this what 'No good deed goes unpunished' means? No matter how good you are or how many good deeds you do (or favors you do) for someone, s/he will always find fault with (bitch about) them and will not be truly appreciative. Could someone please cite an example of this idiom's usage, please? Thank you. | 1 |
I'm a postgraduate student in physics, but I have achieved interesting results in Cauchy equation. I found a reason why Adams method for solving differential equations gives rise to divergent solutions. I explained this phenomena and provided a new improved integration schema. Could anybody help me to choose a good mathematical journal where I can publish my results? | 1 |
Is the minimal polynomial of a linear transformation equal to that of its matrix representation on some basis? One of my textbooks on linear algebra defines eigenvalues and eigenvectors in terms of minimal polynomials, while the other textbooks define them in terms of characteristic polynomials. What is good about defining them in terms of minimal polynomials? Why are minimal polynomials important? | 1 |
I want to get a list of bib-keys from my .bib file which I don't actually use in my document. I have found "Unused bibliography entries - how to check which entries were not used?" but since I'm using biblatex I don't have the information in the .aux files, so I can't use checkcites. Is there a biblatex way to get such a list? | 1 |
Are the odds of predicting that someone would win the lottery the same as just some random person winning the lottery, or are they different probabilities? Because to me, if I read that someone had won the lottery, I wouldn't be that amazed, but if someone predicted that a particular person would win and that prediction came true, I'd think that's far more far-fetch. | 1 |
Question:Find the number of arrangements of all the letters in TALLAHASSEE. How many of these arrangements have no adjacent A's? I want to know why it is a combination prob and not permutation. | 1 |
Why is polarized light used in microscopy for the analysis of rocks(for example)? Why not use unpolarized light? What is it with polarized light that makes the analysis of rocks better? Edit: please refer to the actual physics behind your answer | 1 |
I make figures in powerpoint, export them as pngs, and include them in my document. I sometimes get strange borders around them, sometimes around indivual elements of the ppt file, like this (black boxes are just censoring): It doesn't print, but looks bad on the screen. Any tips to get rid of it? | 1 |
In the dictionary, the words "convert" and "transform" both have the meaning of changing the form of something. So how should I distinguish them? In what situation they are of the same meaning, and in what situation they are different? | 1 |
Do I need a comma before "particularly" in the case below? Thank you very much for your help! Vitamin D has properties against metabolic, neoplastic, and immune disorders particularly breast cancer, osteoporosis, and cardiovascular disease. | 1 |
Recently I came across the word substantional. What's its definition, and how can it be used in a sentence? Are there any common synonyms? Where did this word come from? I suspect it's related to substantial, but it's not entirely clear. This was used in a context looking for reference back to an authority of some kind, but I'm unsure if this is relevant. | 1 |
I read this term shave cream in NY Times today. According to the results in COCA (Corpus of Contemporary American English), shaving cream (I also found this word in the dictionary) is far more common than shave cream in American English. I would like to know if there's any difference between these two terms. | 1 |
I was criticized the other day for using this word. It never occurred to me that it was offensive, but Wikipedia says it "may" be derogatory. Given Vancouver's hockey team, I tend to think it's benign, but I wouldn't want to get William Shatner angry. Please help me oot. | 1 |
In a sentence beginning, "The head officer[,] or his designee[,] shall..." are the bracketed commas appropriate? If so, could you explain the formal grammar rule that would require them? I'm a legal proofreader; if I suggest commas, it must be ascribed to a formal grammar rule, rather than personal choice. (And as a bonus question, is the comma I placed before "rather" necessary?) | 1 |
Is there a word to concisely say 'an unavoidable sin'? Or maybe just a better way to say it. This is in the context for example of someone who habitually does some particular activity and then regrets it afterwards. | 1 |
In Mormon missionary culture, they use the word "trunky" to describe the feeling at the end of their two-year mission when they are tired, ready to go home, and are mentally packing their trunks to go home. They have mentally checked out from their mission at hand. I'm looking for a commonly used word or phrase that means generally the same thing as "trunky". | 1 |
What's the word to describe someone who acts arrogantly and always disagrees with others unreasonably in order to upset people around him/her? [I'm not looking for adjectives like unpleasant, annoying, unfriendly, rude, I'm looking for a more specific term like opinionated, didactic, loquacious, gregarious ] I think I'd come across it before but I've forgotten what it is.. | 1 |
Which is your most favourite subject in school ? What is your most favourite subject in school ? Which one is acceptable? If both are acceptable, do they have any difference in meaning? | 1 |
What is the exact meaning of the sentence below? We can't try to get away with something in an academic paper that we would abhor in a political debate (or worse yet, in a political advertisement). The sentence is from the first paragraph of the article 'Being Logical'. Especially, where does the something belong initially? In an academic paper or in a political debate? | 1 |
I have existing .tex file and want to create similar one. I am doing this by saving the file with another name, I just click "save as", but it won't be saved as a .tex file. Instead it creates .bak file or something else that cannot be compiled any more. What is the problem and what I'm doing wrong? | 1 |
I'm curious as to how to construct an infinite variable polynomial. Is there an nice formulation of such a thing? I've attempted using functions and functionals to construct one, but that didn't lead anywhere. I need it to find a separatrix for a functional-differential system of equations. I'm very appreciative of any help. | 1 |
All I have to do is run the plastic comb through my hair and hover it over small pieces of paper, right? The comb should then be charged and attract the pieces of paper... but that doesn't seem to work. I've used the tiniest bits of paper too. What's happening? | 1 |
How many elements are there in a total ordering T of a set A with |A| = n? I have no clue on how to do this problem. If someone could let me know how to start the problem, it would be much appreciated.thanks | 1 |
Is there a way to construct lists by multiple instances of a field instead of using and or comma, respectively? E.g., instead of @article{FooBar, ... author = {John Doe and Richard Roe}, keywords={foo, bar}, ... } I would like to get the same result in the reference by @article{FooBar, ... author = {John Doe}, author = {Richard Roe}, keyword={foo}, keyword={bar}, ... } | 1 |
I am using the tcolorbox package, and I want to use a gradient ellipse title box with border on the titlepage. It is possible somehow or I have to use another package to manage this? | 1 |
I have heard someone say "As a consultant, Dave can charge orbital fees, so we would rather have you do it." I tried to look up "orbital" but did not find what I was expecting. | 1 |
I am not a native speaker and yesterday someone told me that "She got her first child" would be misunderstood and "She had her first child" is correct. Now I wonder if this is a 'local' thing here in Wales or a general 'rule'. | 1 |
The following is taken from a website: Sir, do you realize your wife fell out of the car several miles back? The expression fell out here, as I checked in the dictionary, doesn't make any sense. Does it mean fell off? | 1 |
When a Force is applied on a body at rest, it produces Acceleration which is equal to change in Velocity. But due to the Force, we see that the Velocity is increasing consequently. So why don't we take both of them proportional to each other rather than Force and Acceleration? | 1 |
I wanted to use a header which looks like the image attached below. At first I tried using a fbox with a parbox but I had issues with the right widths because the text wasn't properly aligned at all. What would be your attempt at mimicking the style of the first three lines in the sample? | 1 |
I want to apolagize in advance if the questions are too easy but I tried on my own and apparently I didn't make it, so please help.Also write down every single step in the solutions without omitting anything that you may consider as obvious. First task: | 1 |
I have two questions. The first question: What are the differences in meaning and grammar between "until you listen to me" and "until you start listening to me"? I'm hoping that someone can help me here. But there is another question: What are the differences between 'I'm hoping' and 'I hope'? | 1 |
Would it be considered a malapropism to substitute a word or portion of a word in a phrase with another word or portion of a word, generally rhyming with the original word, and generally considered an offensive replacement? For example, the term "Election Day" substituted with "Erection Day" or the company name "Pizza Hut" to "Pizza Slut"? | 1 |
Here, in the place where I am being hosted, almost every evening there is an event usually called "burlesque". Is "burlesque" normally used by Americans? How is the word used generally? In what context do we refer to this word? | 1 |
If a function has countably infinite number of discontinuities, can it still be called piecewise continuous [say greatest integer function]? I read that a piecewise continuous has finitely many discontinuities. Thanks for the help in advance. | 1 |
I have found increasingly that I am accidentally typing ctrl-d instead of ctrl-f only to silently comment out an entire paragraph I am working on. Is there a way to disable ctrl-d ? Ideally I would still like to be able to comment out paragraphs so if it can be mapped to some other keyboard shortcut that would be even better. | 1 |
Imagine the 'Bishop' chess piece. The four directions that it can move can be called 'diagonal'. Similarly the 'Castle' moves in the horizontal and vertical directions. Is there a single word that describes this movement? | 1 |
Can you please tell me if my comma in the following statement is correct? Should there be a comma after "questions" as it is below? Should you have any questions, please feel free to contact me at the number below. | 1 |
The only meaning of "ass" I knew until today was the fleshy body part. But what I read today on a shopping receipt shocked me. One of the items mentioned there was Other ass. Surely that shop doesn't sell body parts. So does this word have some other meaning or is it just a spelling mistake? | 1 |
I would like to know whether there are mathematical models for the processes of melting (like an ice-cream melting on the biscuit rather than snow) and weaving (or interweaving). If so, of what kind? If you need more specification, please tell me. Thanks in advance. | 1 |
From the common English grammar lesson, the past perfect tense with had is usually followed by dependent clause. For example: He had studied English before he moved to New York. Now, if I want to say something like this: Yes, I had turned off the lamp. or I had made two mistakes: ... ... Is it allowed in English grammar? | 1 |
Is it true that the number of arbitrary constants in the solution (if solutions exist) always equal to the order of an ordinary differential equation? If yes, how to "prove" such a statement, if it can be proved at all? If no, what are typical counterexamples? | 1 |
A haven is a place that is safe. So, "safe haven" is redundant. Shockingly, several state legislatures have even passed laws for dropping off babies with no penalty; these laws are usually referred to as "safe haven" laws. | 1 |
There are lots of good apps for teaching mathematics to children but I would like to learn about apps for undergraduate/graduate/research levels. Helper questions Any algebra system (like Maple, Sage)? Interactive geometry (like GeoGebra, Cabri, etc)? What else? | 1 |
I'd like to put am image in a certain position on the title page in beamer. I also don't want it to interrupt the text flow, i.. I want the image to appear "behind" the text. Any ideas? | 1 |
"There is no man outside the house" "There is not a man outside the house" "There was no solution to the problem" "There was not a solution to the problem" Can I use both of them? Are the sentences equivalent? Which one is more idiomatic? | 1 |
Is it possible to have a clickable "copy to clipboard" feature in a PDF document generated by LaTeX? Ideally in the form of a macro that also allows for graphical elements to be embedded inside it (to make, say, a custom button that, when clicked, copies something to the clipboard). Edit: An Acrobat only solution will work too. | 1 |
I am looking for a phrase that compares two characters that share very similar attributes and characteristics. Prufrock and Hamlet truly are [ ... ] I don't want something like "very much alike" or "similar"or anything like that. Rather, I'm looking for a distinct phrase to describe this. | 1 |
I know we use normal linear regression for modeling functions on datasets, but can someone explain how neural networks help in approximating more complex functions, especially when they are nonlinear? Intuitively, what does each layer adds to the whole process of approximation? What I am looking for is an explanation of how neural networks approximate functions, and not a comparison with the biological neurons. | 1 |
We know the values of the coordinates (Xa,Ya), (Xb,Yb), and (Xc,Yc). We also know the lengths of A, B, and C. Is there a way (equation) to figure out the exact coordinates where the three lines A, B, and C intersect (the x? and y?). I assume you could rotate all three of the lines until eventually they matched up. | 1 |
Deal all, I am looking for a gentle introduction to algebraic invariant theory (for a Bachelor project) with some simple (but interesting) applications in representation theory (of finite groups, of Lie algebras). Thanks for your help! | 1 |
Is there a single word or a couple single words that would describe the situation of not being able to fully express/explain your feelings or emotions to someone so that you can get them to understand your situation or point of view? This doesn't quite include feelings. | 1 |
I am looking for a word or an idiom about showing respect to someone superior in work because you are afraid of him. I'm not talking about real respect or showing respect to him or his works, just getting scared by his ruthless actions. Is there a word or an idiom for respecting someone because you are afraid of him? | 1 |
There is a sentence: I am grateful to Mr. White for A and B[,] and to Mr. Black for C and D. Should I put a comma before "and to Mr. Black" or not? | 1 |
Has anyone proved or disproved that there are a finite number of minor-closed graph families? If not, what is the general belief in the math community? Alternately, is there another approach (not using minors) to classifying undirected graphs? | 1 |
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