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A closed group in Facebook bash me for asking them if there's such word as "UNSWAPPING" I reached Google and Dictionaries of which I failed to find this word. Yes, there's an adjective "unswapped" but I never found "UNSWAPPING" please help me. I want to know the precise answer. Thank you! | 1 |
I am writing my master's thesis now, and I got a small question on the two terms in the title. You probably noticed, my English sucks... I have a sentence like: "this model is needed", but I want to change the to sentence to "this model is in need". Is that correct? | 1 |
Electromagnetic induction sounds quite analogous to inertia to me. Just like inertia it opposes the 'change'. So is this phenomenon has something to do with what we call inertia for macroscopic objects. And do electron has some inertia like property to create this phenomenon. | 1 |
Take a video camera and crank up the frames per second rate. Disregarding current technological advancements, could a camera's FPS go so fast that any two captured images be identical? Would accomplishing this defy "time"? | 1 |
It is tempting to switch to unicode-math. But there is (at least) one point that I still don't like. That are the double stroke characters. They look simply terrible in XITS Math. Just compare: with Are there any better options with unicode-math? At least they should be serif! | 1 |
I have several full names in my rather large bibiography. Since I do not want to change all these I'd like to have the forename shortened to an initial. So "Lieschen Mueller" should get "Mueller L.". I use the standard authoryear style. | 1 |
I'm trying to write a paper about US Invasion in Iraq is unjust morally, militarily, and legally. I can't think of words to explain when I'm trying to explain that I have moral "evidence" or ideas from the book that will help to support my moral argument. It is technically not evidence, but what word should I use to accurately explain it like evidence? | 1 |
Often I read about "under-appreciated" books. Being an author myself, I am putting together my resume in English and I am unsure what word to use to describe a book that has had positive reviews and apparently was sucessful. Should I say "appreciated book dealing with.."? Also do I need to use articles? Title of the book (An) appreciated book dealing .. | 1 |
Possible Duplicates: What is the correct possessive for nouns ending in s? Pronouncing possessive words that already end in s How do I pronounce possessives that end with the awkward "s's" and "'s"? Examples: I found the mistress's attitude ridiculous These are the eggs' shells. Which coat is Amos'? | 1 |
Suppose in this moment the universe stopped expanding, how long would if take and how would we register the change? Since the bodies are still and it is space that is expanding in between, we wouldn't notice the change even if the expansion would completely stop in a short time? | 1 |
I want to extend the implementations of the examples here to represent graphs with vertices simply represented as text as shown in the figure . I wasn't able to find similar templates/examples in the tikz manual. Could someone point me to a MWE? | 1 |
A nurse is telling: There was a girl who was driving inside a tunnel and something just fell on her car and she died. That messes me up more than thinking about patients who are sick. I have a hard time understanding what is the meaning of the phrasal verb in the context. | 1 |
I have Ellipse's center-points, minor-radius and major-radius. I can find, how to check if given point(x, y) exists in Ellipse or not. Now, I want to find given point(x,y) exists at which angle in Ellipse. Thanks in advance Vikram | 1 |
If we have a solid conducting sphere with charges around it, then the electric field inside the sphere is zero, otherwise the electrons of the sphere would not be in equilibrium as there would be a net force acting on it. However, if its a hollow sphere, then why does the electric field inside the hollow sphere have to be zero? | 1 |
In this sentence: "We would also accept an international transfer, but in that case we would ask you to pay your bank's charges at the time of the instruction to ensure that we received the full amount" is it correct to use "received" or should it be in present tense? | 1 |
When must an edge for a connected simple graph appear in every spanning tree for this graph? I would have thought it was the midpoint of the longest simple path in the graph. However, there would then be another way to connect the graph, so location of vertices doesn't matter. | 1 |
I'm editing a post that has the sentence: How much larger should it be to be secure? I've come across other situations where there are repetitions in a sentence (such as that that) and am hoping for a word to describe this occurrence and a generalized approach to rethink it so the sentence becomes clearer. | 1 |
A question for "real" mathematicians who have become better acculturated to math-speak than this philosopher! If you read a phrase like ... the natural numbers equipped with the evens-before-odds order ... just what do you understand by equipped? [I have my suspicions, of course, but I won't prejudice the comments/answers by saying ...!] | 1 |
I can't get this right, but I'm not sure which is the correct statement: We do not tolerate against pornography images. or is it We do not tolerate with pornography images. Which is the correct way of not agreeing with pornography images? | 1 |
I approached this exam question the wrong way apparently, help please? Consider the word "mathematics". In how many ways can you rearrange all the letters so that the vowels are paired and always apart? | 1 |
My desktop background rotates through a bunch of space and nature scenes, and this one came up. What would be the effect on people walking around down here, if another earth was looming overhead instead of our moon. | 1 |
I have attempting to solve this using the infinite ramsey theorem, with colouring based on whether the sum of two vertices has an even or odd number of distinct prime factors. This is leading to an infinite recursion. Is this ok? At the end of all time I will be done. | 1 |
Can we prove or disprove that : There exists for any given closed figure, a point which is equidistant from all of its vertices? Any closed figure means literally any closed figure? I am gonna instinctively say no, but How!? | 1 |
The mainland counties of England form a graph with counties as vertices and edges as touching borders. Is there a Hamiltonian path one can take? This is not homework, I just have an idea for a holiday around England where I visit every county only once! | 1 |
Say I have a laser. If I spin the laser so that the beam sweeps in an arc along a very distant object, could that dot travel faster than the speed of light? In Diagram form: | 1 |
Question is as clear as stated in title. What is the maximum energy that can be stored in a gluon field flux tube without production of an quark anti-quark pair? And how much it usually store in a meson? | 1 |
It would be [adjective] to dismiss president's new policy, as purely politic playing, it appears he has genuine intentions to improve the well being of the poor. What adjective would be correct to mean that things were dismissed too quickly? | 1 |
This is a question just out of interest to know the power of integration by parts. There are various level of integration by parts. What are some of the most general form of integration by parts? I have encountered it very often in PDE's. I look forward to gaining more insights on it. Thank you for your ideas, help and discussions. | 1 |
Is there any undergraduate textbook on graph theory using linear algebra? A request is a beginning with graph matrices that explain most concepts in graph theory? P.s. This thread has more specific requests than this thread What are good books to learn graph theory?. | 1 |
Is there a package to produce syntax-colored blocks of source code in plain TeX ? A listings equivalent ? Or (maybe) some macro to produce a colored tex input for some given source code ? Is it possible to achieve something through LuaTeX ? | 1 |
I am looking for a correct expression for an activity when a person is injured or in a bad leath condition for any reason and is doing special exercises to feel better. Is it reeducate? Rehabilitate? Vindicate? Thank you. | 1 |
Is there a rule, which states that one must or must not use comma before "then" in a sentence like this: If you can read this, then you might want to answer this question. | 1 |
I use the method described in this link for getting hyperlinks from different PDF files: Can you have hyperlinks to locations in different PDFs? I would like to remain with two open PDF files, source and destination. When I use the described method, the source PDF is replaced by the target PDF. Can I control how to display the PDF files? | 1 |
are there any concrete rules that say wich words(parts of speech) in a title should start with a capital ? what would be a correct capitalization for the title of this question ? | 1 |
He is not satisfied with her praise. He is rather satisfied with my praise. I am sure this "rather" modifies "with my praise." But the position of it doesn't have to be in front of "with?" Like only, as in "You only clean your room when it gets helplessly untidy." | 1 |
I think there must be a good word for this, but can't think of what it might be. Harmony and Melody are pieces of it, beat seems simplistic, Instrumentation seems too scientific and dull. Any Ideas? | 1 |
I know that you can construct a square root of a given segment through a certain construction, and I know that construction. What is the proof that this construction works to construct a square root? | 1 |
What is the meaning and the accurate use of the word "Aura"? Does it mean literally " Atmosphere"? consider this example: " Heavy snow,, thunders... strong wind. What a lovely aura! " P.S: I meant by aura not the weather itself but the general atmosphere around me that i feel at that moment.. My feeling. Thanks in advance! | 1 |
What are the different kinds of relations one can obtain between the elements of a finite Geometric progression other than the fact that one element upon the previous element gives the common ratio? | 1 |
I would like to ask this question; A word that is used to describe someone who is very kind and likes most to help other people with their problems? (I need both a noun and an adjective; if they are all applied) | 1 |
I liked the bar of the first answer in this question: Progress bar for latex-beamer so my question is if there is a way to put this progress bar in the right/left side of the slides. Thanks. | 1 |
What is the type (adjective, noun, etc.) of the word atom in hydrogen atom? I think that atom here does not qualify hydrogen in any way and we can use it or not, and the meaning of the word hydrogen will not change. So, hydrogen atom and hydrogen are equivalent. | 1 |
I use LyX. When I use the "Title" environment under article(hebrew), it uses very big spacings between it and the rest of the document. How do I control the spacing and make it use a compact title so my resume will all fit in one page? | 1 |
I need to reply to an email and I wanted to clarify to the other person that: I understand exactly what needs to be done on the technical side but I'm not familiarized with the red tape involved in the process. Would that be, somehow, offensive? | 1 |
If C is a collection of connected subsets of M, all having a point in common, prove that union of C is connected. I know a set is connected if it is not disconnected. Also, from the above, I know the intersection of all subsets C is nonempty. I am not sure where to go from there. | 1 |
When two words are put together as in "heads up", "put down", "build out"... are they considered a phrase? And if so, do the term for these are "adjectival phrases" as they mention on this question: Is "put together" an adjectival phrase?. | 1 |
Which is better? The protocol was signed last week after all punch list items were fixed up. or The protocol was signed last week after all punch list items had been fixed up. | 1 |
I am using white colored font on black page and somehow I am losing my page numbers. I suppose the page number is still in black color. So How do we set the color of page number? And while on the topic, how about color of page runners etc. | 1 |
I need sections included in the TOC, but not in the body text for a PDF output; so when I click the section at TOC, it will jump to the related page [where section header/title is not displayed]. How do I do this? | 1 |
Is there any approach or mathematical formula using which we can predict the interarrival times for a Poisson distribution (not the expected interarrival time as it comes out to be same dependent only the rate parameter) ? Do we need require to know the probability distribution for finding the time interval for a a particular number of events to occur ? | 1 |
Many resources state that light skin/pale skin absorbs more UV than dark-colour skin. Doesn't black absorb maximum radiation? For an example, see this article: Natural selection therefore favored a genetic solution to that problem by evolving to a pale skin that absorbs UV more efficiently. | 1 |
You have a large house. Negative question= Don't you have a large house? Saying ''Haven't you a large house?'' is wrong am i correct? But is ''Haven't you got a large house?'' correct or wrong? | 1 |
I found that net charge density in the interior of a conductor is zero.The charge resides only on the surface.Then can we say that there is no volume charge density of any uniformly charge conductor? | 1 |
I will provide definitions for which I can't think of the word: as though not trying one's best having the appearance of little effort The word is used to describe something that you look at and think, "They're not really trying." I remember thinking this is a good vocab word, and darn it, I forgot it. This has been driving me crazy all day. | 1 |
Now, shadows dawn as the twilight comes. Dawn has the meaning "come into existence". Does it work that way almost every time with words like, for example, shadows? Or, are there quite limited types of word that can be used with dawn? And, the sentence above, does it sound awkward to you? | 1 |
Can a virtual image created by a concave lens create any image by the convex lens oriented parallel (at the same direction of refracted rays of the concave one) with the concave one? If not, can any other orientation of the convex lens can do the work? What is the effectiveness of a high powered convex lens to do the stuff? | 1 |
Is it correct to say: At the time, circumstances arose such that I had to leave the city. in the meaning that situation got such that the speaker could not stay in the city anymore? Particularly, I am curious if one can say arise about circumstances or situation. | 1 |
When I walked on the road, I happened to pass a pool of mud. Somebody had already set some blocks of stones and bricks on the mud from one end to other end in order to pass it. I could pass it by treading on the blocks of stones. What do you call such a temporary arrangement to walk on? | 1 |
I recently encountered: vernal adj. of, in, or appropriate to spring And I truly wonder if there is also equivalents for the other seasons (summer, autumn, and winter). EDIT: I just found aestival n. relating to summer. Please feel free to contribute words that have the similar/same meaning to spring and summer even though I have found those. | 1 |
What does the prefix atta mean? What is it trying to abbreviate? What a? Wiktionary claims that it stands for that's a or that's the, but I do not see the resemblance to atta. | 1 |
On Wikipedia, I read, "A box can be thought of 'small boxes' infinitely repeating in all three dimensional directions" I don't understand what does Wikipedia wants to say with a box containing infinite numbers of similar small boxes. Why would it be infinite. I can have any integer however. Can any one explain it to me? | 1 |
What actually elementary proof means ? If there is an elementary proof for a conjecture , then is it a theorem ? I saw papers on some conjectures proving stating as elementary proof. Then it means the conjecture is proved ? Is there any site that correctly tells about status of a conjecture ? thanks in advance . | 1 |
I remember that there was one technique of English writing that writes down every single word what one thinks. I forgot what this type of writing is called, does anyone knows the word? "umm, I think yesterday was raining, eh.. but oh wait, no, It's incorrect. It was cloudy......." | 1 |
I see commutivity used in contexts where the meaning appears to be the same as commutativity. Here are an example from physics and another example. Is commutivity incorrect? Does it differ from commutativity? | 1 |
I have to take a talk of an hour and I have to talk about blow-up of toric varieties. Can you suggest me some interesting examples that I can present? How can I find a good reference for the theory needed? I'd like to do a talk rich of images and interesting examples. Thank you! | 1 |
In case of identical particles we multiply the individual wave functions of the particles to get the system wave funtion. But why are we not adding? Or performing any other operation to get the system wave function. Can anyone show the math that what physics will be violated if i simply add the individual particle's wave function? | 1 |
I found this phrase in The Adventures of Sherlock Holmes book; this is the full paragraph, with my emphasis: You will remember that I remarked the other day, just before we went into the very simple problem presented by Miss Mary Sutherland, that for strange effects and extraordinary combinations we must go to life itself, which is always far more daring than any effort of the imagination. Does it mean something like "more daring than we thought"? | 1 |
Here's the quote (from The Tragedy of Macbeth, by William Shakespeare): This supernatural soliciting Cannot be ill, cannot be good. If ill, Why hath it given me earnest of success, Commencing in a truth? I am thane of Cawdor. If good, why do I yield to that suggestion Whose horrid image doth unfix my hair And make my seated heart knock at my ribs, Against the use of nature? The connotations may have changed since it was written, but doesn't the word "seated" evoke the image of the object under discussion being, to all intents, still? As in pretty much motionless? What am I missing? | 1 |
Google defines paradox in three ways, the first two being: a statement or proposition that, despite sound (or apparently sound) reasoning from acceptable premises, leads to a conclusion that seems senseless, logically unacceptable, or self-contradictory. a seemingly absurd or self-contradictory statement or proposition that when investigated or explained may prove to be well founded or true. These are almost opposite definitions. My English book defined it as the second, but I've always understood it to mean the first. Which is the most common usage? | 1 |
What happens to the energy when waves completely cancel each other out via destructive interference? It seems like the energy just disappears, but that would violate the law of energy conservation. My guess is that the kinetic energy is transformed into potential energy. Or maybe what happens to the energy depends on the specific interference scenario? Can someone elaborate on that or correct me if I'm wrong? | 1 |
I'm studying Complex Analysis and everything up to this point has been pretty straightforward to visualise, but I can't get my head around residues, especially as they seem to have two very different definitions (as a Laurent series coefficient and as an expression involving an integral on a closed path) that I can't understand why they equate. Can anyone give a fairly simple explanation of residues? Thanks! | 1 |
A paracompact space is a space in which every open cover has a locally finite refinement. A compact space is a space in which every open cover has a finite subcover. Why must the product of a compact and a paracompact space be paracompact? I really have very little intuition about how to go about this question, so any hints or a proof would be greatly appreciated. | 1 |
Is there a word that is similar to "marketing" that doesn't imply the idea of commercialization or profit? For example, a non-profit that assists domestic abuse victims may run a campaign where they advertise their services. They may put up posters, buy billboard space, and so forth. While this is marketing, people in that industry may be very reluctant to call it a "marketing campaign". This is because marketing tends to carry the connotation of trying to sell something. Is there a more neutral word? | 1 |
I'm currently working on an English project and I have chosen to rewrite a story (Heart of Darkness by Joseph Conrad) in a biblical, King James style. I have done a large amount of reading but I do sometimes get confused, especially on certain sentence structures. Do you have any tips on grammar, vocabulary, or sentence structure that will help me make my writing seem more authentic? | 1 |
Can someone please explain why the van der Waals force is attractive instead of repulsive? My understanding is that is has to do with the electron cloud creating a dipole, but I can't seem to understand why the force isn't repulsive (since like charges repel.) Since the electron cloud is moving, I would think it would cause a force that is attractive sometimes and repulsive sometimes, with the average effect being more repulsive. Obviously I am missing something! | 1 |
I'm really sorry if this question has been asked before, I looked but couldn't find anything. I'm going through an elementary number theory book and in the first chapter it introduces the least integer principle. There is no proof accompanied with it, it just states: "a nonempty set of integers that is bounded below contains a smallest element." Is the reason the book doesn't give a proof because we take this as an axiom? Or is the proof so trivial that it need not be written? Thanks! | 1 |
I've been reading a Real Analysis textbook that my friend loaned to me. I have come across a proposition that says that a totally bounded set is bounded, but a bounded set is not always totally bounded. This makes sense, however I am having trouble thinking of an example of a set that is bounded but not totally bounded. Could anyone shed some light on this? Thanks! | 1 |
I am working on some optimization problems, and I am aware of the method of proving that the "angle of incidence equals the angle of reflection" using Fermat's principle and calculus. However, my textbook suggests that there is a simple way to prove this without calculus, but I'm a little unsure about how to do this. I would appreciate any advice on how to proceed. | 1 |
Here are the definitions of the two words: Hypocrisy: the practice of claiming to have moral standards or beliefs to which one's own behavior does not conform; pretense. Affectation: behavior, speech, or writing that is artificial and designed to impress. However, I'm not sure about the difference between the usage/connotation of these two words? Is there any example where you would use hypocrisy instead of affectation or the other way round? | 1 |
Wikipedia says: In particle physics, supersymmetry (often abbreviated SUSY) is a symmetry that relates elementary particles of one spin to other particles that differ by half a unit of spin and are known as superpartners. In a theory with unbroken supersymmetry, for every type of boson there exists a corresponding type of fermion with the same mass and internal quantum numbers (other than spin), and vice-versa. There is only indirect evidence for the existence of supersymmetry [...] I want a mathematical explanation of SUSY. | 1 |
I know that when I'm solving a linear equation of the form ax = b (mod n), the gcd(a,n) tells me how many solutions there are. I don't really understand why this is. More than a proof, I'm interested in an explanation that will help me understand the relation between the gcd and number of solutions. Also, why does the gcd need to divide b for there to exist solutions? Thanks | 1 |
I'm trying to wrap my head around function spaces. I get that you can define the inner product as the integral the multiplication of two functions over the entire domain because it satisfies the properties of the inner product. What I don't understand is what makes this a complete space? I don't understand the concept how a complete space works with functions. Any insight would be appreciated. | 1 |
When is it appropriate to use the terms Dear Sir or Madam and To whom it may concern? The rules I was taught state that Dear Sir or Madam should be used when you're writing a letter to a person about something that person has direct involvement in (e.g. returning a defective product to a customer service department). By the same rules, To whom it may concern would be used for situations in which the recipient is a third party to the topic of the letter (e.g. regarding a letter of reference or recommendation). Was I taught correctly? Is the rule actually something else? Or is this one of those situations where many people have an opinion but there is no real rule? | 1 |
I've been trying to determine an explanation for the falsity of a logical statement for some time now and I've had no luck in figuring out exactly how to go about it. The statement in question goes as follows: Explain why the statement for any integers a, b, c, if ab = ac, then b = c is false. Perhaps I'm misunderstanding the way to determine the falsity of a logical statement? Any help is appreciated. | 1 |
What is the difference between positive definite kernels and positive definite functions? As I understand it, a positive definite kernel is a positive definite function if it is translation invariant. Is this correct? If not, what is the actual relationship between these concepts? I'm reading Learning with Kernels and using this text, Wikipedia, and Google, haven't been able to find a good answer to this question. References are appreciated! | 1 |
Often, I'll be driving down the road on a summer day, and as I look ahead toward the horizon, I notice that the road looks like there's a puddle of water on it, or that it was somehow wet. Of course, as I get closer, the effect disappears. I know that it is some kind of atmospheric effect. What is it called, and how does it work? | 1 |
Just as there is a difference in meaning between "likely" and "liable" in terms of a desirable or undesirable outcome, is there any subtle diference between "apt" and "likely" ? Does the use of "apt to" and "likely to" in the following sentences convey the same degree of expectation ? "John is apt to call on us on Wednesday afternoon." "John is likely to call on us on Wednesday afternoon." My dog is apt to run away if I don't close the gate. My dog is likely to run away if I don't close the gate. | 1 |
I recently went through Griffiths' Quantum Mechanics text and there is a chapter called the Adiabatic Theorem that includes Berry phase and the Aharonov-Bohm effect. As I found them very interesting, I would appreciate if anyone could provide me with some good sources(books, internet links etc) to learn more about them. Please keep in mind that I am only an undergraduate student, so difficult graduate stuff might not be of very use to me. | 1 |
I'm currently learning about local extrema in serveral variables and have come across the second derivative test for classifying critical points of multivariable functions. I have read and understood the test (see link below), however I don't understand the idea behind it. Why is the critical point of a function a minimum if the eigenvalues of the Hessian matrix are all positive? I understand the idea behind the single variable case, however I am confused about the role of eigenvalues in the case of several variables. http://en.wikipedia.org/wiki/Second_partial_derivative_test Any insight into this would be much appreciated. Thanks. | 1 |
Wikipedia's page for Imperial Units does not list Fahrenheit. The corresponding page for SI Units lists Kelvin as an SI unit, and Celsius as a derived SI unit. This leads me to believe that Fahrenheit does not belong to the Imperial System. Fahrenheit is listed as a page belonging to the Imperial Units category, also on Wikipedia. I know that the US mostly uses the Imperial system and also uses Fahrenheit for temperature. Meanwhile, the UK mostly uses the metric system and also uses Celsius for temperature. Is this just a coincidence, or is Fahrenheit actually a part of the Imperial system? | 1 |
I'd like to use "digitally challenged" to refer to someone who is missing part or all of a finger, but it sounds like I'm talking about someone who doesn't know how to use computers. Are there any phrases, ideally somewhat humorous in nature, that I can use to refer to people who are missing part or all of a finger? Example usage: Steer clear of that izakaya. I've heard some of the patrons are [alternative to "digitally challenged"]. | 1 |
I'm preparing some marketing materials for my boss, and one section contains the phrase "Here are a few examples:". The list that follows contains two items, which strikes me as being incorrect, though I can't find much evidence of this. Is it semantically correct to refer to two items as "a few"? Is there a solid rule for this, or is it just personal preference? Edit - As Armen correctly pointed out, this question is about semantics rather than grammar. I changed my phrasing to reflect this. | 1 |
At the moment I am following a course on variational methods for mathematicians. Last week we derived the Euler-Lagrange equations for a functional under a constraint. In this derivation we found that the Lagrange multiplier may depend on time. However, I could not remember having ever seen an example of a Lagrange multiplier dependent on time during my physics courses. Does anyone have a nice (mechanical) example? | 1 |
I know that it is technically impossible to reach the speed of light in vacuum since the mass of the object travelling would reach infinity. However in a medium, would there be some sort of theoretical equivalent to a sonic boom that would occur? Since sonic booms are formed when sound waves can't catch up with an object, could the same happen with light waves? Would it look like an immense burst of light in the sky? | 1 |
I'm writing an essay for medical school applications. Both my parents were physicians, so it is what I was familiar with growing up. Instead of pursuing medicine in college, I decided to pursue something else and try a few different careers after college. Now I'm back on the medicine path and I'm trying to explain why I needed to try other stuff first. I'm hesitant to use the word "comfort zone" because I think it implies that medicine would be the comfortable (i.e., easy) path, when that is not the case. Any other phrases come to mind that explain this sentiment? | 1 |
I have been learning more about Hilbert spaces in an effort to better understand quantum mechanics. Most of the properties of Hilbert spaces seem useful (e.g. vector space, inner product, complex numbers, etc), but I don't understand why we need the inner product space to form a complete metric space. My Questions: Why do we need the inner product space to form a metric space? Why does it have to be a complete metric space? | 1 |
I've been studying random walks as part of a finance course and I'm starting to become really interested, and I'd like to start a study of them from a mathematics (i.e. more formal/rigorous) point of view. However, my knowledge of mathematics is quite limited (calculus, basic linear algebra and probability, a bit of (stochastic) differential equations). So I was wondering what fields I need to familiarise myself with before I can effectively study random walks. Maybe there's even a good self-contained book on random walks for beginners? | 1 |
In Mendelson's book ("Introduction to mathematical logic") he defines truth values for sentences in the propositional calculus using truth tables. However, it seems to me he assumes implicitly that every well-formed sentence (what he calls "statement form") has a unique parsing; i.e. it is impossible for the same statement form to arise in two different ways. This is of course correct, but it requires a proof. The omission of such proof (or even mentioning it is needed) is somewhat surprising for me as Mendelson's book is otherwise very explicit about everything. Am I missing something? | 1 |
I have been trying to work this problem out for a bit and am stuck. Does anybody have any ideas how to proceed or solve this? I think this has something to do with rings and fields but I can't seem to find the connection. EDIT: I know the other proof listed as a duplicate here, but it uses Cauchy's Theorem and we are not allowed to use that because we skipped that chapter. | 1 |
Does it sound right to say "be successful" instead of "good luck" as a quick reply? For instance: A : I have a tough exam tomorrow. B : I hope you'll be successful in your exam. I suppose using "be successful" as a part of a sentence sounds right, but isn't it kind of awkward or unnatural to say "be successful" as a short reply instead of "good luck"? | 1 |
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