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Is the following sentence grammatically correct? "Symptoms of lactic acid build up in muscles include cramps, spasms, fatigue and sensitivity." Does "sensitivity" need to be qualified, as in "sensitivity to touch"? Can someone point out the "rules" that come into play here? | 1 |
As a student in a highschool physics class, my teacher has repeatedly told me that photons are massless. Yet, I have also heard from other sources that photons have momentum. If photons were to have momementum, that would mean that they have mass as according to p = mv. Do photons really have mass? Also, how would this mass be calculated? | 1 |
I heard somewhere that the capacitance of a superconductor is much higher than regular conductors, but I haven't heard or seen anything yet proving or disproving such. So whats the truth? And why? | 1 |
A colleague asked me this question, and I couldn't come up with an answer that satisfied him, so I'm wondering if anyone can help: Why does a man with a short temper become a short-tempered man? In other words, why do you need the -ed at the end? Are there any special rules for this? | 1 |
Is there a path connected topological space such that its fundamental group is non-trivial, but its first homology group is trivial? Since the first homology group of a space is the abelianization of the fundamental group, we are looking for a non-trivial group whose abelianization is trivial. Is there such a group? | 1 |
I got edited on Stack Overflow because I used "I'm", "you're" and "I'd" instead of "I am" etc. Is it considered rude to use contractions like that in informal conversations on the internet? I would not use them in papers but, I thought on Stack Overflow it was okay. | 1 |
This is probably a stupid question but I will have to ask it. If you had a set of N correlated random variables and knew the correlation matrix, can one compute the joint probability distribution of all variables? Does it make a difference if the correlation matrix was built using Pearson's rho or Kendall's Tau for example? Thanks, Bogdan. | 1 |
My book says all extensions of finite fields are cyclic, but I could not find a proof (maybe I haven't looked hard enough). If it's straightforward, can you tell me why it's true? Thanks :) | 1 |
I'm trying to solve this question: I didn't understand why the hint is true and how to apply it. I really need help, because it's my first question on this subject and my experience on this field is zero. I need some help. Thanks a lot | 1 |
I do know Schreier's theorem, which states that a finite index subgroup of a finitely generated group is finitely generated. Other than this, I have no reason to suspect a positive answer to my question, other than it would be nice. | 1 |
Could someone tell me if I've worked this out right? I'm unsure of the process, especially the final parts where I convert it to a sinc function. Please let me know if I've made mistakes anywhere else too. | 1 |
The Shannon-Hartley theorem gives an expression for the capacity of a bandwidth and power limited channel. How would one formulate this theorem mathematically (rigorously)? I understand the formula given, but not how to formulate the assumptions made mathematically. | 1 |
What is the standard way in latex to display certain objects (e.g. pictures, tables, etc.) side by side, instead of one below the other? I thought about using the tabular environment for this, but I'm not sure if there isn't a better way. | 1 |
I am reading the book "Lebesgue Measure and Integration: An Introduction" by Frank Burk, and it says the following: If the Lebesuge outer measure is finitiely additive, then it is countably additive. How can I prove this? | 1 |
Hello everyone, I'm trying to solve this problem, but I'm stuck... i don't quite understand the definition of the norm, If you guys can give me a better explanation, I would appreciate it, Thanks | 1 |
It is well known that a local ring is a ring containing only one maximal ideal. I was wondering if there is a characterization (or any information) of the commutative rings such that all their non-trivial ideals are maximal. Thanks. | 1 |
I am an undergraduate student doing a project on rooted trees. I was wondering if anyone would know any easy to understand references that explains Grossman and Larson's Hopf Algebra on rooted trees? In particular, I want to know how the comultiplication, counit, and antipode are defined. Maybe if there is anything that explains their paper 'Hopf-algebraic structures of families of trees'. | 1 |
I've seen in a documentary that when a star collapses and becomes a black hole, it starts to eat the planets around. But it has the same mass, so how does its gravitational field strength increase? | 1 |
Which one is correct? Centuries ago, people weren't aware that the planets revolved around the sun. Centuries ago, people weren't aware that the planets revolve around the sun. In my grammar book it has mentioned the first one as "grammatical correct sentence", but it has not done such a comparison. | 1 |
What lessons do we have from string theory regarding the fate of singularities in general relativity? What happens to black hole singularities? What happens to cosmological singularities? Which points of view on string theory yielded results in this respect? String field theory? AdS/CFT? Matrix theory? I suppose perturbative string theory is not applicable in the vicinity of singularities. | 1 |
I've always thought "to slumber" meant to sleep deeply or for a long period of time. Several colloquial but less reputable dictionaries agree with me (http://www.urbandictionary.com/define.php?term=slumber, http://www.yourdictionary.com/slumber) but Merriam-Webster and the OED disagree, defining slumber as "to sleep lightly" and "to sleep, esp. to sleep lightly; to doze or drowse," respectively. Which is correct in modern usage? | 1 |
Question: Which of the following graphs correctly describes the variation of kinetic energy with time of a block when it slides down a smooth inclined plane from rest? The answer is C but I do not understand why. How do we know if the velocity increases as it slides down the inclined plane? | 1 |
Why must a symmetric positive definite matrix must be invertible? I'm reading a proof of the Levi-Civita theorem in differential geometry but the author states this without proof and I haven't been able to prove it. | 1 |
I was wondering if it's possible to produce the anarchy symbol (the circled 'A') in LaTeX. I tried googling "latex anarchist" and got nothing but merchandise and porn, and while I'm not complaining, I also wanted the anarchy symbol. | 1 |
Is there a way to increase the font size in the source window of TeXworks? I guess I'm showing my age, but for me it is almost unusable. It's kind of annoying having to put my face so close to the screen to get any work done. | 1 |
I'm trying to make a figure environment that can select between multiple images. I am not trying to do multiple subfigures but rather a single figure environment that can cycle through multiple images like a slideshow. At this point I don't have any particular format in mind. I am just looking to see if Latex has the ability to do this. Thanks in advance. | 1 |
I read the following sentence in the book Options, Futures, and Other Derivatives: Treasury bond prices in the United States are quoted in dollars and thirty-seconds of a dollar. Here is my question: How should I understand the phrase in bold, namely, "thirty-seconds of a dollar"? I think the plural form "thirty-seconds" means several thirty-seconds of a dollar. Does it make sense? | 1 |
noob question here. I'm interested in reading The Elegant Universe by Brian Greene, but I've read some reviews that say the science has been discredited. I'm a total layman, has the science been discredited? | 1 |
I have a strong mathematical background and I am interested in the relationship between mathematics and music. I have found some introductory material on the web. Do you know any good books that will broaden my perspective of this subject? | 1 |
While looking for something on this site I accidentally found a document class which is perfect for a scientific report with two columns layout. Unfortunately I forgot its name. Could someone point me out the document classes which implements two column layout without using multicol packages? | 1 |
If the universe is undergoing inflation, and there is a minimum scale that things can exist at (the Planck length), does that mean that new Planck-sized domains have to be continuously popping into existence? If not, does that mean that the Planck length is constantly changing? | 1 |
What do they mean? How should I use them? Which one is more appropriate to what context? I was talking to a colleague of mine and we couldn't get to a consensus about what should we say when referring to drinks, for example: A lemonade is made of lemons. or A lemonade is made with lemons. | 1 |
If the title of a song ends a sentence, whether a statement or interrogative, where does the period or question mark go? For example, is it: The Beatles sang "She Loves You." or The Beatles sang "She Loves You". Is it: Did The Beatles sing "She Loves You?" or Did The Beatles sing "She Loves You"? | 1 |
I'm having some trouble understanding the concept of negative work. For example, my book says that if I lower a box to the ground, the box does positive work on my hands and my hands do negative work on the box. So, if work occurs when a force causes displacement, how does negative work happen? Are my hands displacing anything? | 1 |
How to prove Ampere's Circuital Law in case of any conductor. My text gives the proof of only the special case when the conductor is long and straight. I am trying to prove it, but haven't been successful. Any hints would be welcome. | 1 |
I've recently come across the following sentence: Round the corner walked Hannah, and nearly bumped into Louise. The first clause sounds clumsy to me. I think the example above should be written like this: Hannah walked round the corner, and nearly bumped into Louise. Is it ever right to put the subject at the end of a clause? | 1 |
When I was much younger, I remember the press always referred to the U.S. president using the title of the office: "President Nixon" was followed by "President Ford" then "President Carter". Now that seems to have fallen out of favor and the common reference is: "Mr. Obama". My question is: when and why did that change happen? Was it associated with a particular president? | 1 |
Is there a sequential criterion for differentiability,just like there is one for continuity ? If not then,why so ? I'm studying undergraduate real analysis and haven't really come across one. Thanks in advance ! | 1 |
What does "sit in the back of the bus" in the following sentence mean? It has been taken from Harvey Milk's "The Hope Speech." The first gay people we elect must be strong. They must not be content to sit in the back of the bus. They must not be content to accept pablum. | 1 |
The Ricci tensor is defined as the contraction of the Riemann tensor in its upper and the second lower index. I was wondering why it is defined this way. What happens if the Ricci tensor is defined as a different contraction of the Riemann tensor? Would it satisfy Einstein equations? Does the usual definition have any physical or geometrical meaning? | 1 |
What is it called when the subject of a sentence is the same as the object of the previous sentence? For example: I'm going to Freddy's house. Freddy lives down the block. The block is paved with gravel. The gravel is jagged. | 1 |
I am unable to comprehend why ammeter is connected in series and voltmeter in parallel in a circuit. My book doesn't give any explanation about it nor am I able to understand it from the internet. Can someone please explain this to me (a beginner). | 1 |
Helium is a scarce resource, as it escapes the atmosphere over time. If we run out of Helium deposits, will it be possible to manufacture more helium through nuclear fusion or another nuclear process? If so, how much energy will be required? | 1 |
Is it more correct to say 'The picture hung crooked on the wall' or 'The picture hung crookedly on the wall'? My instinct is that the first one sounds better to me as a native speaker, but someone else I was talking to was convinced that only the second is correct. What's better here? | 1 |
Possible Duplicate: Should I put a comma before the last item in a list? What is the difference between tomato puree, paste, and sauce? OR What is the difference between tomato puree, paste and sauce? Do we need a comma before and in this case? | 1 |
A Lie group is a group which is a smooth manifold such that the multiplication and inversion are smooth. When does a Lie group become simple? What is the difference between simple and semi-simple Lie group? Just want a quick answer here. Thanks | 1 |
I'm working on an engineering project, and I'd like to be able to input an equation into my CAD software, rather than drawing a spline. The spline is pretty simple - a gentle curve which begins and ends horizontal. Is there a simple equation for this curve? Or perhaps two equations, one for each half? I can also work with parametric equations, if necessary. | 1 |
How can I center the titles of the chapters in the frontmatter and the backmatter of a document written using memoir? Keep in mind that the mainmatter chapters should not be affected at all. | 1 |
I keep coming across the term pseudocubic unit cell while reading about orthorhombic perovskite structures. No clear explanation is given in papers. Can someone please tell me how these structures are generated and what exactly is meant by them? | 1 |
What does "sanding a doorstep" mean? Does it mean polishing the doorstep? Or filling it in with sand? I read this expression in Charles Dickens' book, The Haunted House where it says, I found the landlord of the little inn sanding his doorstep. | 1 |
A person who makes desserts is called a pastry chef, but is there a name for the action itself of making desserts? "Cooking" is too general, and "baking" implies bread, cakes, etc. which is not quite what I mean. Any ideas? | 1 |
What are the differences between "unto" and "to"? It seems that in many contexts where the word "unto" is used, "to" could be substituted and would be perfectly correct. It reminds me of flammable/inflammable, where "flammable" came into use because the "in" in "inflammable" caused people to think that it meant not inflammable. Is this a similar situation? | 1 |
Is it possible that the universe is infinitely large and contains an infinite amount of mass that is distributed in such a way that gravitational force is never infinite? If so, is it possible that the infinite amount of mass that is outside of our light cone could affect us with gravitational force? | 1 |
Which one is correct? I am a new graduate and have been teaching German for a few weeks now. I am a newly graduate and ... I can't decide whether to use "new" or "newly". | 1 |
I have noticed the appearance of the phrase "not so much" in the language recently. It strikes me as both grammatically incorrect and humorous when used. For example,"Jim is very smart; his brother, not so much." Or,"That girl has a beautiful face; her figure, not so much." Has anyone else noticed this new colloquialism? | 1 |
I'm having trouble understanding how to find an invariant to check if it's preserved, and generally how induction is used in proving the correctness of algorithms (binary search primarily, but others as well). | 1 |
I'm doing a science project, and we're wondering if it is possible to compress pure carbon (C) to the point where it becomes diamonds? What would the process have to be and how much energy would this take? Has this been done and is this feasible? | 1 |
Prove that any graph that can be obtained from the Petersen graph by adding one extra edge has a Hamiltonian cycle. So I've found that removing any vertex yields a Hamiltonian cycle -- I'm not sure if that's relevant or helpful, as I wasn't able to link that to the main question above. I thought I'd include that in case though. | 1 |
Are both "an hour and a half" and "one and a half hours" correct? If so, is either more appropriate in different contexts? Example context: "The Superbowl starts in less than one and a half hours." "The Superbowl starts in less than an hour and a half." | 1 |
Does anyone have a link to Hilbert's Original Proof of the Nullstellensatz, or know a book where it's printed? I'd be interested to see what it was like. I only really know the Noether normalisation and Zariski proofs. While these are both good, it would be nice to have it 'from the horse's mouth'! Many thanks in advance. | 1 |
The term "ginger" is often used as a slang term for someone with bright red hair. But ginger (the spice) is actually a bright yellow in color. Where does this term come from, then? | 1 |
I have been trying to understand clearly the concept of non locality, hidden variables, quantum measurement etc through research papers. I also read Quantum Theory and measurment by Wheeler and Zurek but I feel I've got nothing into my head. Please recommend some introductory books on above mentioned topics for beginners. | 1 |
I have been trying to learn some basics of topology on my own, I have learnt the basic definitions. I have not been able to understand the proof provided in the text. Could anyone provide a clearer proof, or kindly explain me the outline of the proof provided here? | 1 |
In a commutative ring (with unity), is it true that (a) any maximal ideal is a prime ideal? (b) any prime ideal is a maximal ideal? (b) is almost certainly false, because a maximal ideal is a stronger concept than a prime ideal, but I don't know of any example to give. And I'm not sure about (a). | 1 |
An orthogonal matrix necessarily has orthonormal columns, and orthonormal columns necessarily give an orthogonal matrix. Also, orthonormal columns imply orthonormal rows. But how about the converse of the last statement? Meaning, do orthonormal rows necessarily imply orthonormal columns? Thanks | 1 |
I wanted to know what is the typical strength of the magnetic field generated by the tip of a magnetic screwdriver, but couldn't find it anywhere on the manufacturers' webpages. So I was wondering, is it possible to estimate it from the sort of objects that a magnetic screwdriver can pick up? | 1 |
I just want to confirm that I am right about these expressions. The "foot of the stairs" is the bottom of the staircase, and the "head of the stairs" is the top, correct? Are these expressions commonly used? Or is there a better alternative? | 1 |
The speed of light in a medium is independent of motion of source relative to medium but it depends on the motion of observer relative to the medium. I don't understand why it is so. | 1 |
I'm working on an app which displays status messages, like: "XY is now available" "XY is now offline" I'm wondering which of the followings is correct: "XY is now idle" "XY is now idling" | 1 |
Is there a word or phrase to describe someone who is willing to do extra work in the short term to avoid work in the long run? I have seen "lazy" used for this, but I'd like to know if there's a more precise term. | 1 |
In our daily life a lot of photons of visible light, infrared and radio etc move around us. We know that light is an electromagnetic radiation. So why doesn't that electromagnetic radiation affect a magnetic compass? | 1 |
Is there a word or expression describing a phone call when the caller doesn't hang up, but also doesn't say anything (or at least nothing can be heard)? I'm specifically looking for a term describing such call made to scare someone (with the caller breath being heard). My initial thought was that it's called silent call, but according to Wikipedia it means something different. | 1 |
"If matrices B and AB have the same rank, prove that they must have the same null spaces." I have absolutely NO idea how to prove this one, been stuck for hours now. Even if you don't know the answer, any help is greatly appreciated. | 1 |
I am an absolute newcomer when it comes to quantum physics. So kindly suggest me a book which covers all the fundamental ideas, equations and all such stuff related to qp, so that i can master the basics and then move on to the advanced stuff.Thank you. | 1 |
I have recently read the proof that the Brownian Motion and Fractional Brownian motion are almost surely Holder Continuous. I was wondering if this can be extended to a higher class of continuous stochastic process, is there a characterisation of such class? Is this class much bigger than the Brownian Motion/ Fractional Brownian motion? Maybe even the whole set of continuous stochastic processes? | 1 |
I am studying finite element method.While studying i am confuse with numerical integration and interpolation.Is this two methods are same or different?. If they are different then is there any relation between them?. | 1 |
I need some help understanding Gaussian mixture models. In particular, I am trying to find the relationship between GMMs and K means. What is the basic algorithm for GMM? I am not sure where the "clustering" comes in. Can someone give me a basic example as to how this actually works? | 1 |
I'm currently prepping for some high school math competitions soon, and I was wondering if anyone knows any resources that are out there with an abundance of contest-math-related geometry problems. Geometry is definitely my weak point in contest math, and any input would be appreciated. Thanks! | 1 |
How come the following sentences have the same meaning when they have different voices? I can be substituted for John. (Passive) I can substitute for John. (Active) They both mean "I can replace John." | 1 |
I am studying a function whose Fourier transform is zero on a set of strictly positive Lebesgue measure and I need to know this: If a set has a strictly positive Lebesgue measure can we prove that it contains an interval? Help is much appreciated | 1 |
Please describe how a vacuum flask/thermos works. How does the vacuum prevent convection/conduction/radiation? How does the lid with the curvy lines prevent either of the aforementioned heat transfers? If there are any other parts that may prevent heat transfer, please also list them. | 1 |
I'm trying to show that the quotient of the Heisenberg group with it's own center, H/Z(H), is abelian. I'm not entirely sure what makes up this quotient group in the first place though... and I'm a little confused as to what quotients of matrix groups with multiplicative operators look like. Help, thanks | 1 |
There has been a similar question before: How to convert a hexadecimal number to an octal number? But, in my case I need an Algorithm to directly convert a number from Octal to Hexadecimal and back without converting it to binary/decimal as an intermediate step. Is it possible? | 1 |
Gentlemen, thought my practice in solving Gauss Jordan elimination questions, I faced this question and I got stuck in it for quite long time, and I couldn't figure out the answer. Could you lend me a hand in solving this question. Thank you! | 1 |
Someone recently pointed out to me that most English-speakers will say "I saw a big brown spider," rather than "I saw a brown big spider". However, the second sentence has the same literal meaning as the first. Are there instances in which adjectives are non-commutative, so that permuting the order of the adjectives changes the literal meaning of what's being said? | 1 |
I've read that attraction and repulsion between particles is caused by the exchange of virtual photons, and that virtual photons carry information. I don't understand how a virtual photon actually causes any attraction or repulsion, and how does it carry information anyway if it's "virtual"? Aren't photons an excitation of the electromagnetic field? | 1 |
Why is the standard for implementations of the AES algorithm called "Rijndael"? Is it simply a name? Or has it some kind of meaning? I tried googling this one, but without any helpful results. | 1 |
From the linear algebra books that I've encountered, they either discuss exclusively about finite-dimensional vector spaces, or assume that the reader already knows about infinite-dimensional vector space, Hamel basis, etc. What books explain the concept of infinite-dimensional vector space and its structures? | 1 |
In Dutch we use it to refer to (the airtime of) tv-shows that start around dinner. Is there an equivalent to it? I suppose it's sort of an idiom, but probably too specific to be considered so. | 1 |
I would like to measure the energies of particles emitted from a variety of ionizing radiation sources (alpha and beta), and then convert these energies to velocities. However, I am not too sure about how I might go about measuring these energies. Would this even be feasible? If so, how could it be done? How are these energies measured by professionals? | 1 |
Are there any integral domains in which no nonzero prime ideal is finitely generated? (Other than fields, of course, where the condition is vacuously satisfied.) I asked a similar question the other day, but the solution there relied on using zero-divisors and that didn't really help clear up the situation I was considering. | 1 |
If I have an ordered set X = {a, b, c} and another ordered set Y = {a, b}, I know that that Y is a subset of X but I also want to convey that Y is the prefix of X if that makes sense. Is there a name for that? | 1 |
The Great Dark Spot is an anti-cyclone in Neptune. But unlike the Great Red Spot of Jupiter which lasts for more than hundred years, the Great Dark Spot exists for only one year or so. Why is it so?? | 1 |
I was attending my college re-union and a speaker just said that "Having an ebook reader is status quo". Apparently, it means that it is in vogue or in fashion. I do not think it is the correct usage. But I am a bit confused. Can someone clarify? | 1 |
I know from reading about the gravitational waves detected by Ligo, that when an object has angular acceleration, it produces gravitational waves. I'm wondering if an object creates gravitational waves when only accelerating in one direction, however? I'm also curious as to how the nature of the waves would differ in this case. | 1 |
Possible Duplicate: What is the correct way to pluralize an acronym? How would you make the plural form of an acronym? For example, if you have two of Nintendo's game console, the DS. Would you say, "I have two DSes," "I have two DSs," or something else? | 1 |
I am going to send a email to a secretary of a CEO thanking her for scheduling a meeting. What would be a good phrase for the opening of email? Should I write: Thank you for scheduling the meeting or would it be more appropriate to write: Thank you for accommodating our request | 1 |
Recently, I am interested in the Hecke algebras, but I'm not very familiar with it. Who can provide me some meterials about the history and the development of the Hecke algebras? Is there any good books or papers about Hecke algebras? Any help will be appreciated. | 1 |
When you get an error in LaTeX, the message "Undefined control sequence" is printed. Why is it called "control sequence" and not "command", for example? How does the sequence work? Is this a TeX or LaTeX thing? | 1 |
I'm an Android programmer and am working on a graphing calculator. I have been looking for a formula for sine and cosine to put in there. I have a decent understanding of mathematics but can not seem to find this formula. Any help would be great, thanks. | 1 |
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