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I am studying various crystals and the two-dimensional materials that could be potentially obtained by cleaving them (isolating a region bounded by two parallel planes). In elucidating the properties of these materials, it would be good to know what symmetries could the cleaved material possess given the symmetry of the original crystal. What is the best way to approach this problem? My question can be alternatively interpreted as follows: how to find all the layer subgroups of all the space groups? ("Look them up" is a legitimate answer for my purposes, if you can tell me where to look!) | 1 |
Are there any resources online for astronomy experiments that I can perform myself? I am looking if anyone knows any measurements to take while looking for various objects during the evening particularly using a telescope/binoculars. A couple of examples would be determining the orbits of the moons of Jupiter through an evenings observations or trying to measure a stars parallax from measurements throughout the year. I can think of a handful of other ones but was wondering if there were any other resources to provide some more ideas. | 1 |
So, I've noticed over time that I see both "afterward" and "afterwards" at different times. Having a pet peeve (though I'm not certain it's actually a well-founded prejudice, lexicographically speaking) against hearing "anyways", I've started to wonder recently about "afterwards". With a quick bit of web searching, I turned up this analysis, which I find to be somewhat helpful, I'm just wondering if there's more that people could say to help me get an intuitive understanding of when to use which, or otherwise why to use one versus the other. I suppose (as mentioned in the linked article) this question could also apply to forward, backward, toward, etc. Which shall I use? When? Why? Does the 's' indicate some sort of plural meaning, or something else? | 1 |
I am an undergraduate in Mathematics writing his dissertation on General Relativity this year. The next couple of months will be dedicated to learning the math (geometry) and the physics, and to this end I am looking for must-read/must-watch material on the topic. General book recommendations are welcome, but keep in mind I can use Google! I am mainly looking for really good introductory content that I would have a hard time finding myself, whether it be videos, course notes, books or blog posts. My apologies if this is a duplicate! | 1 |
I am trying to determine if the plane on which two triangles lie intersects for a collision-detection implementation. Unfortunately, I'm stuck at step one, which is finding the plane on which a triangle lies. I tried looking around on Google and what I can find seems to imply that I need to find the normal to the plane instead of the plane, and the direction of the normal. Can anyone explain why I just need to find those two? | 1 |
You often hear that black holes are so strong in their gravitational pull that matter, even light cannot escape. But this seems to contradict the laws of conservation of energy. Is it possible that perhaps light (photons) are not themselves elementary particles, and within the immense gravity of black holes decompose into some other sub-particle or dark matter that we cannot yet measure/see? I know there is no way, yet, to measure or determine this, but it seems like there is a more simple explanation than matter just "disappearing". Thoughts? | 1 |
If A is a closed set,then what can we say about closure of A^C ? It is a closed set.But my doubt is whether A and closure of A^C is disjoint or not? what i had tried is: if A is closed, A = closure of A. A and A^C is disjoint, so closure of A AND A^C is disjoint.Can anyone help me to understand whether they are disjoint or not.. | 1 |
In terms of dollars per watt, using theoretical efficiency limits, what technology holds the most promise to become the primary solar energy capture technology? My hunch is carbon-based modules, since materials are abundant and relatively easy to manufacture; however their efficiency currently is nowhere near silicon-based semiconductors. In the future, assuming that scientists will push very close to the theoretical limits, what will provide the most power for the lowest cost? If this is relevant at all, I am trying to decide where to focus my graduate studies in physics, and I want to contribute in getting the most promising technology to its limit. If you can at least point me in the right direction to figure out the answer myself, I would greatly appreciate it. | 1 |
Possible Duplicate: How does gravity escape a black hole? How can gravity get out of a black hole? If a black hole is so powerful that even light does not travel fast enough to get out, and gravity, or rather, gravitational waves, travel at the speed of light, how does gravity get out? And please don't say that the black hole creates a "well" in space that other masses "slide" down. Such a well would be unstable and, if two black holes pass near each other, neither would be able to "slide" down the other since both are infinitely deep. These wells would make gravity selective. | 1 |
If I have a cup of water filled with air at the bottom of a pool, then when the cup is "upside down" the air doesn't leave because the water pressure is pushing it up against the top of the container. But then when I flip the cup, such that it is no longer upside down, the air rushes upwards. But why on earth does this happen? I mean the water's pressure is pushing this air downwards against the bottom of the container. If I were to draw an FBD which force is causing this air bubble to rush upwards? Thanks | 1 |
Many years ago I heard a radio broadcast featuring a beeping sound that always seemed to come from behind me. The announcer said that the sound would have this quality and it did, even when I turned around. It was a plain beep, and the radio only had one loudspeaker. It was a complete mystery to me then and it still is, so can anyone explain the effect? (Previously posted at https://www.newscientist.com/topic/lastword/its-behind-you/.) | 1 |
I wrote a technical article in which I used (probably overused) constructions of the form "The main point is that...", "The problem is that...". As I am a native Italian speaker, these sentences have the natural form that I would use in my language. One of the reviewers suggested that a better way to formulate these sentences in English is "As the main point,...", "As the problem,...". I feel these sentences carry "less power" than my original ones since the main word is not the subject anymore. Any thoughts? Is the construction I used incorrect, inelegant, or good English? Thank you | 1 |
What do echo and reverbation have in common? They are the reflection of sound waves, they are formed when sound waves meet a hard surface, they cause a repetition of the sound. The waves keep having the same frequency (the source doesn't change); They have the same speed and length as they had before the reflection, because the environment doesn't change. Is there anything else? | 1 |
I am working (writing and typesetting) on a book for children. I have used the memoir class. The book looks good for an adult audience. But I had ideas of making it more interesting for the children. More specifically, how about adding little thumbnails to the table of contents page? These will be tiny images placed randomly and rotated randomly. Or a different pattern border around each page? Like bright colored zigzag pattern for one page and may be, colored crayon strips on another? With my limited experience and expertise in latex, I could not crack this one. Any ideas/ suggestions/ solutions? | 1 |
"Working for the man". Does "Working" act as a noun, verb or something else in this case and why? If I said, "I am working for the man." Then clearly working is a verb. However, I'm confused by the colloquial phrase "working for the man." It seems to have a "poetic" tone if you will. Because the subject does not exist I wonder if "Working" is a state of being in this case? As "Peter Shor" pointed out Maybe the answer is that because this is not a complete sentence then we don't know what role "working" plays in the sentence. FWIW, I'm imaginging how I can translate the phrase into Japanese. Which word I use for "Working" depends on whether it is a noun or a verb. | 1 |
Is there an intuitive way to understand the convex duality? If the primal problem is minimization, the dual is maximization over another set of variables - but I would love to have a geometric visualization of this and an intuitive way to understand why this ought to be true. I'd also want to see strong duality present in such an intuition. Textbooks are dense in the math, but I haven't come across a place where this could be imagined in our minds without variables and equations. Could someone here help me out? | 1 |
If I have two points at different X/Y coordinates, I know that: They are vertically aligned if both are at the same X coordinate; They are horizontally aligned if both are at the same Y coordinate. Based on the X/Y coordinates of one in relation to the other I can also tell the distance between them, etc. Now, how can you tell that the points are diagonally aligned by following the same logic? | 1 |
We still hang up the phone, even though we really only push a button, not suspend it in a cradle. Sometimes we tape a television series, even though the DVR does the heavy lifting, not the analogue insides of a VCR. Is there a term for these words and phrases? I'm not sure about using words like obsolete or archaic, because the methods they describe may be, but the phrases themselves are not. | 1 |
Reading the article "Emergence of scaling in random network, by Barabasi and Albert" I faced a lot of results obtained by simulations of the A-B random graph model. I always wanted to do such simulations, but honestly I don't know how to start. There is a better programming language? There are packages? There is a special software to handle heavy data? To put everything in one question: how they do that kind of simulation? | 1 |
As kind of a real-life example, I'm struggling to write a description of the Crusades from the point of view of a Catholic pope. I know that through the Crusades, the Christians basically "rescued" the city of Jerusalem from the so-called "filth" that inhabited it. (Note: Please do not be offended by my use of the word "filth") You might say there's a tip-of-the-tongue phenomenon going on here. | 1 |
I'd say both of these uses of "he was shot" make sense: "How did he die?" -- "He was shot in the street" [meaning shot dead] "He was shot in the street, but luckily the bullet only hit his foot." [meaning shot at -- there was a bullet coming his way] Would you agree? And what would you think of a headline "He was shot in the street". Is the man dead or was he just 'shot at'? | 1 |
As an American, a large part of my impoverished experience of British accents comes from ancient BBC comedy imports on PBS. I'd very much like to identify the regional accents the following actors are using: the farmer Maurice Moulterd in Are you being Served? Again! (aka Grace and Favour) (the second series where they're running a country inn). Alice Tinker and Owen Newitt in The Vicar of Dibley Onslow from Keeping Up Appearances All four have distinct ways of speaking (not necessarily the same, but then that's the problem, I can't tell). Which accent does each of these four use? | 1 |
In this question different people understood different things when talking about topological manifolds. Some argued they they have to be Hausdorff, some that they have to be second countable and some, both. When I studied them, my teacher showed us examples of non-Hausdorff (the line with two origins) and non-second countable (the long line) manifolds. For me, a topological manifold is a locally Euclidean topological space. What are the different definitions of a topological manifold you know? What it depends on? What author you read when you studied them? Who was your teacher? EDIT: What properties have the topological manifolds if we define them as second-countable and Hausdorff that they don't have if they are only locally Euclidean? | 1 |
The problem says "In a factory, m workers work h hours to do j jobs. If p new workers are hired, how many hours will the work force have to work to do j jobs?" I worked out the answer logically, but I'd like to know if there's a formula that I can go to to make it simpler and faster when this kind of question arises again. Also I'm really not sure what the type of problem is called, so sorry for any confusion in tagging/titling. | 1 |
I was surprised to discover my dictionary had this entry for dilemma: a situation in which a difficult choice has to be made between two or more alternatives, esp. equally undesirable ones The notion of dilemma meaning two or more flies against what I was taught about the word. The very idea of a false dilemma is specifically based on the number two. Has my dictionary merely updated its definition to encapsulate the many people who use dilemma for more than two equal choices? Or was someone in my youth being unnecessarily pedantic? | 1 |
What is the word a deep desire that some external force has kept you from gaining it? For instance in the movie Foxcatcher, the rich guy always wanted to be wrestler but his mother didn't let him because she thaught it was a low sport and it was beneath him and this made a 'deep desire' in him to be a wrestler. Is there a word for that? The word I'm looking has some kind of negative meaning. This 'deep desire' makes you do stupid things and kind of has a bad effect on your personality. | 1 |
I am learning Mean value property (MVP) of the heat equation. MVP of Laplace equation was relatively easy to understand I think it is because of the spherical symmetry. But I am not able to appreciate the MVP of heat equation. It's not very easy to imagine the "heat ball" in the following theorem from a note: Here are questions: How do I define a heat ball? How does it actually look like? | 1 |
I have read this is true for all hyperbolic triangles, but I am trying to find an extreme example, or a limit behavior, were the sum of the angels of a hyperbolic triangle are minimized. Is there a min/ inf? Also, why do all hyperbolic triangles have angles sum less than pi (if that is true)? To avoid ambiguity, I am referring to hyperbolic triangles in the open upper half complex plane. | 1 |
Consider the examples from the Free Dictionary: That summer, she up and died. He had lived here for twenty years, and then one day, he up and left for good. Is this a contraction of a longer phrase, making "up" a particle (as in "get up")? Or is "up" meant as a verb, but mysteriously not inflected according to tense/person? (in which case, how did it end up not being inflected?) | 1 |
If we can think about the universe as a wave function then many particles should be entangled with many other particles in the universe. The obvious question arises why we don't see those entanglements in everyday circumstances. One standard explanation given is those entanglements average out and cancel so we can ignore those. However, hardly any mathematical justification is given for them to cancel. My question is how much trust one should have on that particular assertion? Is there any mathematical arguments already put forward by anyone? | 1 |
Do matter and antimatter eliminate each other or release their equivalent energies? I'm almost certain it's the latter as mass can't be destroyed, but when speaking of the big bang it's said if there were equal amounts of both matter and antimatter there would be nothing left. I wonder how that can be true if they don't destroy each other. It may have something to do with how energy decays into matter. | 1 |
Got curious about polynomials and Galois theory the other day and realized I have no idea how current mathematics treats polynomials (or rather polynomial like expressions) that have arbitrary algebras for the exponents. A quick search yields polynomial extensions like Laurent polynomials but I couldn't find anything that uses any other groups for the exponent, like Gaussian integers, complex numbers, cyclotomic rings, hypercomplex numbers and other algebras. What are these structures called and how is their behavior similar and different with ordinary polynomials? | 1 |
Let's consider a partition of the words in the english language according to respective use frequency. Looking at the frequency graph it should be easy to find classes of words with approximately the same frequency. Now I'm interested in the size of these classes. I know that the size depends on the relative cut-off points, but I'm more interested in a general classification, i.e. are there more common words, or more uncommon words? | 1 |
I have recently come across two key concepts in quantum optics: shot noise and back-action noise. This is very important for me to know: first, are shot noise and back-action noise the same? Please let me know if there is any other equivalent term for back-action noise among the quantum optics community. I am also wondering whether back-action is the nature of light beam in vacuum, or is it related basically to measurement detector like homodyne? I really like to know exclusively the characteristics of back-action noise to be able to model it. | 1 |
There are so many famous paradoxes which are examples of how humans are unable to intuitively understand probability -- there's a discrepancy between their supposed actual experience and the mathematical evidence. There's things like the birthday problem where what we would expect the probability to be is much less than the actual, but also the monty hall problem where the confusion comes in why the answer is what it is. My question is, what is the cause of this? Why are we biased into thinking things are more or less likely than they really are? Why do we find it so difficult to accept and understand the correct probability in the case of the monty hall problem, burnt pancake problem, etc.? | 1 |
Recently I was proof reading an email that a coworker was going to send to a superior and I pointed out that the valediction wasn't capitalized. He said it didn't need to be because it was the start of a phrase or clause and not a sentence, and that people only do it because other people do it. But in the back recesses of my mind I'm thinking that there is a rule that says that it should be capitalized. Is my coworker right and capitalization is unnecessary in this case? If I'm correct, what rule or guide can I point to, to prove my stance? (T/t)hanks, Jeremy | 1 |
I've been thinking about this, I want to use this as my science project. The two viable solutions I've thought of so far are magnet or rotary based. Pendulum clocks could be powered once a day and run the clock for the whole day. From the rotary motion, could I easily generate electricity? A magnet on the pendulum could generate energy through coils. Does anybody have any suggestions? I'm just a highschool student so the project should be easy and small. Any blueprints or tips will help. Thank you. | 1 |
so my goal is to detect an odd-cycle in a directed graph. I know for the undirected graph, the graph contains the odd-cycle iff it's non-bipartile. So I can check whether or not the graph is bipartile. If it is then the undirected graph doesn't contain the odd-cycle, otherwise it does. For the directed graph, does the same algorithm apply? Do I need more condition for the directed graph to have odd-length cycle? Thanks | 1 |
I have always wondered about the similarity of the two words Astronomy and Astrology that describe two very different things but have their beginning in common and are sometimes confused in everyday language. The linguistic difference (if one can say so) between them is only in the endings '-onomy' and '-ology'. Two further examples are Topology and Topography Geology and Geography where now we have the endings '-ology' and '-ography'. What are the meanings of the different endings '-onomy', '-ology' and '-ography' ? I would also be curious about whether it is a coincidence that '-ology' appears in all the examples above? Does it maybe have historical reasons? And furthermore, are there more such pairs to be found? (I can't think of any others) | 1 |
In the quote in the title, "of" refers both to the material that makes up the cup and to the stuff that the cup holds. I remember reading that there is a literary device that describes this, but I can't remember what it's called. The device, if I remember correctly, refers to the parallel structure of a phrase whereby a thing is described in two aspects or, as in this case, an aspect and a function. Shakespeare commonly used it, though I can't think of a quote. Syliva Plath uses it in the line: I am silver and exact to refer to a mirror--what it's made from and how it does its job. Could someone tell me what this structure is called. | 1 |
I am looking for a phrase that is in the same spirit such as "single point of failure", or "bottleneck". Example: Being two engineers short is <-term goes here-> in this situation. If we find two engineers, the project will meet the deadline. Another one: Electric cars are improved enough to be on par with internal combustion engine cars. However, the long charging time is <-term goes here-> behind the problem that electric cars are not as widespread as internal combustion engine cars. | 1 |
What constructions allow a writer to preserve strict logical coherence and reduce redundancy when conjuncting two noun-phrases? Example Many cultures have used gold or silver bullion as a currency. That sentence could imply that many cultures have used gold -in any form- or silver -only when cast as- bullion, but I intended it to mean that many cultures have used gold bullion or silver bullion as a currency. Moreover, a reader could interpret the sentence to mean that many cultures have used gold -in any form, for any purpose- or silver -only when cast as- bullion -and only- as a currency. How can I construct that sentence to ensure it imparts only the meaning I intend it to impart? | 1 |
When the word that is used in a sentence to introduce some relative clause it is always an essential element which follows. Therefore, no comma is required. Example: I'm sure that you are lying. When I leave out the word that, it is still a correct sentence, right? Do I have to use a comma then? Because, when you read the sentence aloud, it kind of feels like there is a pause. Examples I'm sure you are lying. I have the evidence right here in my pocket (that) you are lying. Especially in the second case, I would prefer a comma at the place of the that. Is there a strict rule? | 1 |
In the following sentence, what is the function of "You"? You, go to the store. I know the sentence is in the imperative mood, and that generally means there is an implicit second-person subject. If we dropped the initial "You", the subject would be that implicit subject. While "you" matches that second-person subject, that seems just incidental and it seems like it is just an expression of address that happens to match the implicit subject. Is it the subject, or merely a vocative expression? Or in other words, is the subject the "You" in the sentence, or is it the implicit subject from the imperative mood? | 1 |
I have to show that if a metric space is path connected and countable then it is complete. I'm pretty lost where to start this at all. I have the basic definitions of complete, path-connected, compact and sequentially compact spaces. Any help how to do this would be great (this is a past paper question-non assesed, just for practice so I think it should be reasonable simple) Thanks very much for any help | 1 |
can anyone help me by using geometric transformations to solve this problem: construct the triangle whose sides bisectors and their intersection point is given; my professor told me that if I assumed the problem to be solved I would notice that we have compositions such as symmetries, reflections, rotations . I can't really understand what he meant, if anyone can help me with a hint or the solution I would be very thankful | 1 |
I'm sitting here in the metro station, drinking a bottle of water, and watching how the flow of water out of my mouth changes as air rushes into the bottle. My questions is: in space, obviously the effect would be different. How is this effect different as compared to with earth, and can the change in behaviour be solely attributed to the effects of gravity? | 1 |
I want to randomly distribute some(in thousands) objects over a surface. This I can achieve with a function say x,y = rand(). This will evenly distribute objects over the surface, but is it possible to have some control over the randomness like having some groupings (some objects close together). I can try to achieve this with multiple iterations of distribution, but that might run into objects overlapping. So was looking for some kind of parameterized algorithm that might help in this area. I do not have much knowledge in mathematics so would appreciate some help. Thanks! | 1 |
I'm looking for an adjective, saying or idiom for an analogy which makes the things even harder to grasp, that was supposed to make things easier to understand. Examples: A guy makes an analogy to express that playing violin and driving a car is similar, when he teaches driving cars. But since very limited people know how to play violin, it does not make things easier. A guy teaches culinary on Youtube. But he rather than he explains the basics of culinary (say boiling water), he says 'oh this process is similar to gamma radiation'. It is not important if the analogy is good or bad. Just it makes things harder to understand. | 1 |
I am seeking a word, should it indeed exist, that describes a dramatic or literary device found when a new character is introduced into a story which disrupts the natural equilibrium, driving the story. For example, in J. B. Priestley's An Inspector Calls, there is a natural equilibrium at the Birlings' home. This exists, however, until the Inspector arrives - disrupting the natural order, it seems, and goes on to defining the narrative. | 1 |
We know that a small object moving fast enough can pass by a planet and escape its gravity. Would this be (theoretically) true in reverse? Meaning a planet moving fast enough past a stationary smaller object would not assert its gravitational pull on the small object? Would this mean that gravity is mitigated by velocity regardless of whether the more massive object is moving as opposed to the small object? | 1 |
Humans see only a narrow band of light wavelengths. Many animals see much deeper into infrared. Maybe one clue to explain why we don't see IR naturally, has to do with the light intensity as a function of wavelength? How would such a function look like on Earth in daylight and at night respectively? I suppose that shorter wavelengths are less intense, because they are harmful. But what about IR, is it more or less intense than visible light in daylight outdoors? | 1 |
I'm trying to control a system where the controller sample rate is physically fixed and the plant has significant dynamics on the same order as the sample rate. I understand that one would prefer to have the sample rate considerably faster than the plant dynamics, but the physics of this system are such that this is inherently impossible. I can get some control of the system by hand-tuning a PID, but it seems considerably sub-optimal. Is there a strategy for developing a controller like this? Edit: I should add that the plant is this situation is a relatively complex LTI plant with reverberations caused by pure time delays. The delay cycles are a bit slower than the Nyquist frequency. The plant is stable. | 1 |
I've been thinking about the following pattern for some time: Linseed oil... soaks into the (visible and microscopic) pores When I was a kid, this wasn't the way I was taught to use parentheses: they go after an idea, and explain it further. Yet it makes perfect sense--"visible and microscopic" is an aside, explaining details. Is this the right punctuation? Is it informal, or only acceptable in technical writing? My gut says brackets might be more correct, but I can't justify it: Linseed oil... soaks into the [visible and microscopic] pores | 1 |
I'm using the document class scrartcl and appendix. This currently results in a letter instead of a number for section enumeration in the TOC and section title ("A My Code Listing"). I need to change this to "Appendix A My Code Listing", i.e. add the word "Appendix" to the section title. I have found a manual workaround on http://web.reed.edu/cis/help/latex/thesis#appendices but would like to know if there is a way to change this automatically. | 1 |
I'm going to teach very elementary combinatorics (limited to basic enumeration) during two weeks to middle school students. At the beginning, I want to demonstrate the importance of counting in real life or technology using concrete examples which students are familiar with, so that they appreciate what they are learning. In this discussion, almost all examples are advanced and are not appropriate for middle school students. I'm looking forward to your suggestions. Thanks. | 1 |
Is there a character in any established alphabet (I couldn't find anything in the IPA) to denote a sharp intake of breath, as if by surprise? I want to include it in a character's name. Initially I thought "!" would suffice, making the name, for example, "!Davis" (pronounced -breath-Davis) based on its usage in demonyms like "!Kung-San", but it seems I have mis-remembered what the exclamation point here does. Googling just gives me information on "a sharp intake of breath", which I'm sure is wonderful but is of little use to me at the time of writing. Thanks. | 1 |
I recently encountered this word while reading an article and found that its two basic definitions are "Bewildered" and "Unfazed." How can the word mean both these things as they seem to be direct opposites of each other? Should the sentence in which it's used always explicitly reveal the intended meaning? And while many of us might be a little taken aback if Mom showed up at our offices, Secrist is utterly nonplussed, even happy about it. source In the above sentence, it's obvious that Secrist is "unfazed" without even knowing the definition of nonplussed. Instead of adding clarity to the meaning being conveyed, "nonplussed" seems to just add confusion. Then again, maybe I'm missing something. Thoughts? My first post here so please edit/re-tag as appropriate. | 1 |
The definition of a topological space is a set with a collection of subsets (the topology) satisfying various conditions. A metric topology is given as the set of open subsets with respect to the metric. But if I take an arbitrary topology for a metric space, will this set coincide with the metric topology? I'm trying to justify why we call the elements of a topology "open". If my above question is true, then at least in a metric space, the set of open sets is equivalent to the topology of the metric space. So am I right in thinking that when we remove the metric, we are generalising this equivalence by defining the open sets as those that satisfy the conditions of a topology? | 1 |
If i put a pen on a table in its horizontal position and then i try to move it horizontally by giving it a small push, so that it would fall off a table, i expect it to move horizontally but my pen ( and all other pens too! ) moves diagonally when it starts moving down the table!When i remove the notebook , the pen moves like,its shown in the picture ( if i keep it horizontally also, it gives the same result)- Why does this happen? Why does it not move horizontally ? | 1 |
I'm looking for a word that can describe a long-term inhabitant (inhabitant is the best I've come up with so far) of a hospital. Specifically, a soldier living (retained? - again, word might fit here too) in a War Hospital not long after the First World War, however the answer doesn't have to take into account the time period, as I feel there is a word at the back of my mind I simply cannot find right now which means "inhabitant of hospital." I'd like to be able to use it to complete this sentence: The gravel pathway was bordered by short, waist-height shrubberies behind which were the colourful flowerbeds intended to pacify the hospital's ________. | 1 |
I've got an undirected weighted graph G with c:E(G)->IR. Now I want to find a spanning tree, such that a node v arbitrary, shall be an internal node, and among all spanning trees, in which v is only an internal node, it has got minimal weight. My Idea: Use Kurskal. If v is an internal node than stop. But if v is not an internal node I'm not sure what to do. Do you know how this could be solvable? Thanks in advance. | 1 |
I often heard that it is possible to show by using the inverse function theorem that if a function is smooth (i.e. arbitrarily often differentiable), a bijection between open sets, and has a non-singular jacobian, then it is a smooth diffeomorphism. but somehow the inverse function theorem that I know and that wikipedia seems to know, only states that if it is a continuously differentiable bijection with nonzero jacobian, then its inverse function is also continuously differentiable. But how do you get from this, to the statement that I proposed above? I don't see the implication. | 1 |
I was going through a text about ancient civilization. There, I found a sentence which says, "Some ancient human being recognized even cannibalism." After reading that sentence, I started to think that, as the word 'cannibalism' is disgusting, the writer would had written this sentence in another way e.g. "Eating human flesh too was practiced by some human beings in ancient period." What do you think about which one of them sounds better--- 'cannibalism' or 'eating human flesh'? | 1 |
I'm trying to speak about the nature of music; I want to say that the very nature of the medium of sound, a kind of universal language, makes it impossible not to interpret what is presented to us. (The laws of physics make music from different cultures ultimately very similar.) How might I express this with some interesting parallelism? I tried using the read-understand pair, but I'm not sure if this makes my meaning obvious enough. I feel like there's some word that I can't think of that would make this analogy (or another) work. It is possible to read and not understand, but impossible to listen and not hear. | 1 |
Terminal Velocity depends on two things: surface area and speed. These are inversely proportionate. If both these variables affect terminal velocity, why do parachutes slow you down? Initially you had a small surface area but a fast speed- with the parachute you have a larger surface area but lower speed. You have increased one variable but decreased the other. Therefore why do parachutes decrease speed? | 1 |
I am not sure how to approach this problem. A similar question has gone unanswered before. If the conductor was at rest, then the charge would have distributed evenly. Now all the charges will feel pushed out due to the rotation of the sphere. However the amount of "push" is proportional to the distance from the axis (centripetal force is proportional to the radius if angular velocity is constant). But the electrons would not like to accumulate together, so they must be resisting the urge to group together (near the equator). Have I missed any other electromagnetic effect (other than the Coulombic repulsion)? | 1 |
Edit note: This question with some good answers does not explain (or ask) why it is an adjective that's used as opposed to an adverb in this type of construction: Is this an objective complement or adjective phrase? My Question: Consider this sentence: "Garlic can be eaten raw or cooked". In the dictionary, "raw" is an adjective only and is not an adverb. "Cooked" is also an adjective. So, why can an adjective be placed after "eat" as in "Garlic can be eaten raw"? | 1 |
I am looking for an idiom or a phrase to denote the situation where someone is unfairly taken advantage of (Ex: Gets a lot of work dumped on his lap on a Friday evening like Harold in Harold and Kumar series) because that someone is nice and does not say no. In my mother tongue there is a usage for this; when translated verbatim it sounds like this "keep on digging where it is wet" - is there something similar in English? | 1 |
I'm in doubt about a situation that I've seen sometimes: imagine we have a resistor in parallel with a resistor and a capacitor in series. Since I don't know how to generate figures of circuits to post here, the situation can be described as: a single resistor on the right, and on the left a resistor and a capacitor in series. If there was no capacitor, I know I could replace the resistors by an equivalent one. My doubt is, do this continues to be true in this case? I mean, can I replace this configuration by one capacitor with one resistor in series such that this resistor is equivalent to the other two? If we can, what's the argument beyond this? | 1 |
I'm developing a website on which photos and videos will be shared. But I couldn't decide on the main menu name to use under which there will be two subcategories Photo Gallery and Videos. Which one do you think makes more sense to visitors: multimedia or media? Once they see it, they should immediately realize this menu is all about photos, videos and things related to graphics. | 1 |
The question is Suppose that events A and B are that people have diseases a and b, respectively. Suppose that having either disease leads to hospitalization H = A U B. If A and B are believed to be independent events, show that P{A | BH} < P{A | H} I think I understand why this holds but do not know how to explain it. I know that P{A|H} is equivalent to P{A} since it's independent from H and I also (think I) know that P{A|BH} is equal to P{AB} and since they are independent this equals P{A}P{B} but now how do I go about proving P{AB} < P{A}? Assuming all the assumptions I've made are correct. | 1 |
I saw the word admixture used in a sentence recently and looked it up in the Paperback Oxford English Dictionary only to find that its definition is "a mixture". This is the sentence: The 'Natura' section features a series of sixteen prose poems, redolent in many ways of Hill's Mercian Hymns in their admixtures of natural and urban landscape, dramatised autobiography and historical reference, fomal and colloquial styles. Why is "admixtures" used here rather than "mixture"? | 1 |
I'm working on definition essays. As I read a couple of sentences, I came up with a question. I'll appreciate your help: "Two years ago, I read a story which revolved around the life of a spoiled family "--> Wouldn't it be more appropiate to use the present tense for "revolve around"?, as the story's plot was and still IS the same Another example: "She said: 'I became a teacher because I want to change the world.' That got me thinking about what being a teacher really meant." -->Shouldn't the writer've said "means"?? | 1 |
Diproton is an isotope of helium without any neutrons. It commonly forms in the Sun, where protons are fused constantly. However, it is extremely unstable, and will revert back to two protons almost immediately after. Now, nucleons are held together by the strong interaction. So if the electromagnetic interaction is weaker than the strong interaction, why won't the protons stay held together instead of repelling one another? | 1 |
I have to do a project for my high school calculus class. I am interested in figuring out how to create equations for simple outlined shapes like this bird if I were to plot it on a coordinate plane. I have investigated the Fourier Series, but I am not quite sure how to implement it (where to start, I guess). I assume I should start by taking coordinates from the curve once at certain intervals, but I'm not sure where to go from there. | 1 |
I want to use a word/phrase/idiom etc. to describe someone action by which they try to stop another person talk or sharing their plans. I want specifically to use it in following situation: During conversation with my uncle, he was telling me their future plans to sell house but my Aunt stopped him by secretly putting her finger on lips as a gesture to shut up. | 1 |
In his book "Origins", Neil deGrasse Tyson says that "if you seek to split iron nuclei apart, you must them with additional energy. On the other hand, if you combine iron atoms they will also absorb energy[...] For all other elements only one or the other half of this dual description applies." According to him, that is the reason why stars can't make iron. Maybe I'm forgetting something important here but to me that reason is not clear. Is it because up until iron all lighter elements when fused released energy, while when it's time to fuse iron the stars actually lose energy? If this is true than the other part of the sentence (fission) is irrelevant. What is the actual explanation? | 1 |
To my understanding, work is done on object A when object B is applying a force on object A, causing object A to displace. Since energy is the ability to do work, what work does a moving object do, due to its kinetic energy? I mean, if I kick a ball, it has kinetic energy due to its velocity, but what force does it apply? On what object? | 1 |
The Big Bounce theory says that before the Big Bang there were other Big Bangs over and over. For example, the universe would have a Big Bang within it and then this new mini-universe would expand, then start collapsing, and as it finishes collapsing, it would "bounce" back into a Big Bang, while the greater universe stays constant. Since this is a big explosion, nothing resists it, so we can't find any trace of the other universe ours started in, but would we be able to find evidence for this in the small dimensions that exist in string theory? They're so small they would resist the Big Bang. If the LHC found these dimensions, would it confirm the theory? | 1 |
What is/are the word(s) for a person who writes/speaks with the attitude of always being right, having the final answer(s), never having their position or interpretation questioned, having the final say on a subject? One who positions him- or herself as the ultimate and final authority on a subject, who entertains no possible alternatives to their interpretation of a subject? "He writes as though he is the ______ on this topic." Not the authority, but a word meaning the presumed authority - seeing this as a negative trait. | 1 |
"abuse" is often defined as improper usage. When speaking about an illegal drug, it seems impossible to properly use it (I mean here recreational consumption, not specially licensed medical or research use). So then, is any consumption automatically abuse? EDIT: I see that somehow, several users appear to have misinterpreted my question. I would like to clarify: Even substances which are illegal may be used legally by people such as medical doctors and scientists, by special permit. Obviously this is not abuse. It falls within the special exemptions provided by the law. I am asking about using the word "abuse" to describe use of these drugs outside such special permits, when the law considers the use clearly illegal. | 1 |
Let F be a field, E a finite field extension of F, K the field of separable elements of E over F, C an algebrically closed field containing F. Is it true that every F-homomorphism from K to C extends uniquely to E? If yes, why would it be true? The point should be that the minimum polynomial over K of an inseparable element of E has only a root, but I can't prove this fact. Thank you for help. | 1 |
What does a subspace say A spanned by another subspace B and a vector x mean ? Does that imply anything about a basis or does it just mean that every vector in subspace A is either present in subspace B or can be expressed as linear combination of vectors from B and x. Or anything else perhaps ? Any help would be much appreciated. | 1 |
I have exhausted everything I know about solving for the determinant after operations have been done to it following the general principles of matrix determinants. I see that the first row was multiplied by a scalar and the second row was multiplied by a scalar. It was my general assumption that I would take the original determinant and multiply by the first scalar and then add the original times the scalar multiplied by the second row. Obviously got the wrong answer and feel like I am missing something very basic here. Thanks for the assistance. | 1 |
As is shown in wikipedia: Click [here] (http://en.wikipedia.org/wiki/White_noise#Mathematical_definitions) A random vector (that is, a partially indeterminate process that produces vectors of real numbers) is said to be a white noise vector or white random vector if its components each have a probability distribution with zero mean and finite variance, and are statistically independent. Here comes my question, does the vector is still white noise, if the variances of the components are not the same any more? Thank you very much. | 1 |
Thin has a meaning of "not well fleshed," but does it also carry a meaning of "being weak or feeble"? In the Merriam-Webster, it does carry a meaning of "lacking substance of strength," but it uses "thin plot/broth" to make the example. Is it okay to say someone is to thin to do anything which needs a lot of strength? I just find it misleading to say, because thin doesn't always means weak. If you google, there is a title such as "Michael Jackson is too thin to play live." Is it OK to say so? Somebody argued that it's a euphemism to say so. | 1 |
The definition of explicit that I wish to use: stated clearly and in detail, leaving no room for confusion or doubt. E.g. the speaker's intentions were not made explicit. My motivation: I'm analyzing 'Follower' (by Seamus Heaney) right now and I want to comment on the word "exactly" in 'Mapping the furrow exactly'. My comment is something along the lines of "Mapping the furrow" already attributes a high level of skill and precision to his father. The use of the word 'exactly' adds an extra layer to the phrase and makes it explicit. | 1 |
I wonder about this. If you pour water in a closed tank, it makes a noise. I have noticed that as the container becomes more and more full, the pitch of this noise also increases. Why is that? I do not study, nor have any knowledge of beyond basic concepts, of the physics involved in sound and vibrations. However, my hypothesis is that this happens because the "chamber" where the sound is produced gets progressively smaller, therefore it behaves like a flute - as you change the shape of the chamber, the sound that air makes as it passes also changes. | 1 |
If I have two sub-areas confined in a larger area, and I have the intersection of these two sub-areas. If I replace one of the sub-areas with a new sub-area, which is the same size. What is the probability of the new intersection being bigger than the old one? (By that I mean how could I solve this?) If the question is too vague or written badly then just comment aand I'll try to explain it a little better. Thanks Keri | 1 |
Does the uncertainty principle imply the non-deterministic universe, or just the fact that our model of the universe, the one based on observation, can be at most non-deterministic, since we will not be able to measure with perfect accuracy, even if such would exist (and therefore we will have to provide probability distributions rather than an event which should happen with overwhelming probability (term used by Terence Tao))? | 1 |
As a web developer, this is a question that has bugged me for some time: when providing a way for users to reset their password, which link wording is more suitable or is the "proper" use? "Forget your password?" (as in, "Did you forget your password?") "Forgot your password?" (as in, "Have you forgot(ten) your password?") There is a nicely related post here (Is it correct to use 'Forgot password' or 'Forgotten password'), but that addresses "forgot" vs. "forgotten." Thank you for your insight! | 1 |
Could anyone tell me the difference between "have wanted to do" and "have been wanting to do"? I often say "I've been wanting to go there!" when someone invite me to the restaurant that I got to know before and has been thinking I want to go since then. But one of my friends said "I've wanted to go there." in the same situation today. Which is correct/common usage? | 1 |
Inevitability just sounds so depressing to me. The "inevitability of death" is a glaring example. There has to be a word that means "unavoidable but in a good way" right? Edit: The sentence I'm trying to make right now is about "the [inevitability] of technological progress in our society". Technological progress at least in what I'm arguing for is good so I'm looking for a word that would be a positive replacement for [inevitability]. | 1 |
Environmentally induced decoherence makes wave function collapse unnecessary. But the environment, usually taken to be some heat bath, introduces a preferred frame. (That in which the total (spatial) momentum vanishes.) So, doesn't then the decoherence time depend on the motion of the prepared state relative to the environment? And, doesn't the ultimate environment, all particles in the universe, introduce a preferred frame into quantum mechanics in the sense that the decoherence time is relative to this frame? And would this be measureable, at least in principle? I.e. I could go into a frame with high boost relative to the CMB restframe and notice that the decoherence time changes? | 1 |
I'm near the end of Velleman's How to Prove It, self-studying and learning a lot about proofs. This book teaches you how to express ideas rigorously in logic notation, prove the theorem logically, and then "translate" it back to English for the written proof. I've noticed that because of the way it was taught I have a really hard time even approaching a proof without first expressing everything rigorously in logic statements. Is that a problem? I feel like I should be able to manipulate the concepts correctly enough without having to literally encode everything. Is logic a crutch? Or is it normal to have to do that? | 1 |
In order to collect all pokemon Tazos, I went to a shop and bought bags of chips. Now I am worried whether I have bought enough bags of chips or not. You need to tell me the probability of getting all the distinct Pokemon Tazos from the N bags of chips. Lets say N is the number of bags i bought and K is the distinct pokemon available. So how do i calculate probability? | 1 |
I would like to put an address in my document as follows: | | | Name | | Street #| | City | | ZIP | | | where the | mark the left and right page borders. I would like the items of the address (Name, Street etc.) to be left-flushed, but the box right-flushed so that the longest item touches the right page border. Is there a simple way to accomplish this? | 1 |
I'm writing a short story set in an artificial planet-sized sphere with an ecosystem in its inner surface, whose "gravity" is created through spinning. Energy sources aside, what other interesting physical characteristics should I take into consideration, apart from varying force levels as one moves relative to the direction of the spin (may be minute given the size of the structure), as well as increasing "weightlessness" as one gets closer to the axis? Also, with sufficient mass in its shell, what is the effect of (real) gravity on objects on the inner surface? | 1 |
When driving on a wet highway at night, any surface emitting or reflecting light will have a reflection right under it that is blurry and seems to stretch to infinity. This is not exactly what I am picturing in my mind, but I couldn't find better images. Anyway, I think it'll do. Does anybody know why it is such a long reflection? I never figured it out myself. | 1 |
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