darklight03/StackMIAsub huggingface dataset:
I've been pondering over a questions from a while. Please forgive me if I am being too naive. We all know that because of Pauli's exclusion principle no two electrons can populate one state. This prevents the electrons from being collapsed into nucleus, as explained here from the anti-symmetric nature of their wave functions, also as explained in a comment by ACuriousMind. Is there any simple man perspective (classical analogue/picture) why there should be any such principle in the first place?
One of my relatives had a probability question that they asked me that was a little puzzling... What do you think? Can anyone explain how to do a problem like this? A container has six yellow marbles and nine black marbles. Ruth and Dave each start taking a marble. They choose these marbles at random and Ruth was the first to draw a marble. If they do not replace any of the marbles, until one of them get's a yellow marble. What is the probability that Dave will be the one to draw the yellow marble. If anyone could explain how to do a problem like this, that would be great. Thanks!
Just like the previous question, Even I have been studying Hawking's A Brief History Of Time and even I was thinking of Einstein's General Relativity. But I was unable to accept his view of GRAVITY. I have been working on a theory which needs that Gravity effects Light. And so my question is that, Is there any kind of mass for Light? as it was being effected by Gravity? Excuse me if any mistakes were done. Plzz answer me.
I am in a serious doubt about it. Consider a battery of emf E and we connect it to an inductor. Initially the switch is open, now we close the switch. My question is: What mechanism happens just after closing the switch? When we close the switch, the electric field produced in the conductor by the battery causes the electron to flow in the inductor. As the electrons flow inside the inductor, the flux changes and an emf is induced, my question is that how is this induced emf Ldi/dt is equal to the external emf e, not simply by saying Kirchoff voltage law but by the mechanism happening that it should be E only?
How do molecules absorb and retain heat, and how is that heat able to still affect nearby molecules? On Venus there is a green-house effect where the large, dense Carbon-Dioxide atmosphere absorbs heat from the sun and traps it- but how does that occur? What is the interaction between light and a molecule which causes heat to transfer and be trapped? Thanks for your time! Sincerely, Sigismund
In AmEng vernacular, is the word tab specific to restaurant and bar checks, or can it also be used for hotel bills? E.g. Guest: We'll be checking out early tomorrow morning, so if it isn't too much trouble, I'd like to close out my account right now. May I get the tab, please? Front Desk: Certainly, Mr. Smith. Just one moment, please. I'll print it out for you. tab: A creditor's statement: bill, check M-W chiefly US and Canadian A bill, esp. one for a meal or drinks Collins English Dictionary informal, chiefly North American A restaurant bill: the waiter brought three drinks and a new tab ODO
I would appreciate any suggestions for book or notes on ANT at a level that I would characterize as advanced beginner. I.e., something assuming familiarity with topics in Dummit & Foote, that is a little less than Samuel or Marcus. I would especially like accessible discussions of topics such as fractional ideals, ramification, and ideal classes. Any suggestions would be appreciated. (I have seen several enthusiastic endorsements of Stewart and Tall.) Thanks.
There are words to modify justifications or reasons given. One means "the real motive", and the other means "a plausible explanation, but not the true motivator". I searched quite a bit, but was unable to find anything. I think one of the words is like "obstinate", but not that, and now that it's in my head, it's all I can bring to mind... Does anyone know the words I am trying to think of?
I wrote this sentence: Living a busy life, full of stress, sweat and sacrifice, can make us think that we are actually doing something worthy with our lives. Which is actually saying is that being busy can give us the illusion of doing something worthy with our lives. Is it clear enough or ambiguous (is it possible for the reader to misunderstand this sentence as "being busy really makes our lives worthy"?)?
This question is a follow-up of Macro: Replace all occurrences of a word, but I would like the same for different colours, that is to have different pre-defined sets of text strings which will be coloured in a predefined way, where the colour depends on the set they are in. Requirement: Each string should be able to include spaces and/or punctuation marks (e.g. a string could be foo's foo doesn't foo). Edit: I was asked to provide a MWE, and while I was making one, suddenly I achieved an answer which I failed in creating before. Trial-and-error-and-trial-and-success.
This answer of mine has been strongly criticized on the ground that it is no more than a philosophical blabbering. Well, it may well be. But people seem to be of the opinion that HUP alone does not ensure randomness and you need Bell's theorem and other features for the randomness in QM. However, I still believe it is the HUP which is all one needs to appreciate the probabilistic feature of QM. Bell's theorem or other such results reinforces this probabilistic view only. I am very much curious to know the right answer.
They most often come as advice on how to solve problems that seem the reverse of what would be expected: In order to think of a solution you must stop thinking about the problem. In order to be a good leader you must know when not to give orders. I'm sure there must be a name in rhetoric at least, they often have the quality of being immediately pleasing or slightly amusing in the same way a joke or a pun does. Sort of like a stronger form of antithesis that goes beyond putting opposites together and suggests the opposite is actually the solution.
I am wondering if someone could provide me with additional information with regard to the so called Yale sparse matrix format, other that what can be already found here: https://en.wikipedia.org/wiki/Sparse_matrix In particular, which specific programms make use of it? Which (research or practical) goals does it achieve as compared with other options? Can it be considered a standard way to make a sparse matrix out of a dense one? Thnaks in advance.
Consider the situation when a cell of an unknown emf is being measured using a potentiometer. We slide the jockey so as to obtain the null point. Now, is there any current in the potentiometer wire at the null point? Since we know that there is no current in the arm containing the unknown cell, its terminals have acquired equal potentials,how is it possible that there is any current in the potentiometer wire when that is in parallel to that cell. Potential difference across AB= Potential difference across CD?
Oxford defines "close" thus: Adj (With reference to a competitive situation) won or likely to be won by only a small amount or distance: "the race will be a close contest" "she finished a close second" My question: Based on the same sense of the word, can I describe the 'difference' or the 'differential' between two numbers or amounts of something as 'close'. For example: The differential between what you owe and the credit you have is close. The difference between their numbers of followers on Twitter is close. Does this sound nearly native? If not, what would be? I know we usually say "small difference" but I wonder if 'close' would be more effective, especially in the second sentence.
I was wondering if Quantum Fluctuations are completely unpredictable, but do our observations tell us if these fluctuations happen evenly through space or are there regions where more quantum fluctuations occur than others? If they are completely unpredictable and are forming at specific places, could this be reasoned why they are being created in these areas MORE than in other areas of our universe? If possible can you present any observations or any evidence, for your answer?
I would like to learn exterior algebra, wedge product and geometric product along with their applications in physics. Is there a good source you can recommend? Should I study differential geometry in order to grasp them? I started studying tensor analysis but even the concept of contravariance and covariance is not explained well enough in most of the textbooks. I would be grateful if you point at a source that guides one well and assumes no prior knowledge of the topics except calculus and linear algebra.
The dot is placed in a position that is relative to the other dots and the timing as to when the item was posted I'm okay with the first half of this sentence (the part before and). I'm wondering if the second half is a legitimate ellipsis here. If so, how does it interact with the first half? In other words, what could be the full form of the entire sentence?
I'm writing a document in which I need to state that my work is unsupervised instead of supervised. I have thought in these two sentences, but don't know whether they are correct, or whether is there a better one to explain this situation. "from an unsupervised decision making point of view" "with an unsupervised decision making approach" also, what's the correct way, "decision making" or "decision-making"?
Should I use a comma before the word who? This sentence is confusing me: I made this blog because I want to help all of the other people who have problems that are similar to mine. If I did use a comma in that sentence, then what would be the benefits & disadvantages? In what cases should a comma be put before the word who?
In granulometry, say I have a tube with an heterogeneous mix of particles of different sizes (sand and stones, by instance). The tube is vertical in the usual gravity field and is placed in the air. If I randomly shake the tube, the smallest particles will eventually be at the bottom, and the largest ones at the top. So the particles are now sorted by size. Why? A friend of mine considers a volume of the bottom part of the tube has a greater density (or mass) than of the top's. And denser things go downward. I consider however, by shaking the particles, small ones can fall through the space left between larger ones. What is the correct explanation?
What is the word that means a 'what if' phrase? In a college course, I vaguely remember, the instructor wrote a word on the board that loosely meant or perhaps described any sentence that was a what-if statement. If I remember correctly it was essentially a word for classes of phrases, like say an appositive phrase. It was a more technical word, not something common like hypothetical, and for the life of me I can't recall it. Any help would be much appreciated.
If a set is closed and open, it may be bounded (e.g., the empty set), or it may be unbounded (e.g., the set of real numbers). But what about a closed set that is not open? Such as: a singleton a set of finite points a closed interval the union of a finite collection of closed intervals the nonempty intersection of an arbitrary (possibly infinite) collection of closed intervals These are all examples of closed, non-open sets, and they are all bounded. Prove that if a set is closed and non-open, then it is bounded; or disprove by providing an example of a closed, non-open set that is unbounded.
I plan on asking my professor what he meant by "average continuous function," but as it is possible that this is a concept as vague as the statement, I was hoping to get some interesting answers/interpretations from stack exchange first. How do you think of the average of some infinite group of things? Or does this just mean that the real line is so dense/big that it is somehow likely that a function would bounce around everywhere except on some countable number of points? I'm sorry this is vague, I will be sure to post his response if I get a good one. I would also appreciate any resources or reading; googling around hasn't been fruitful.
In a global company, I often need to address someone in another country without knowing his/her gender in emails with a third person or with a group of people. It's awkward and inefficient to spell his/her name every time in reference of this person, especially if it's a long name. The only solution seems to find out the person's gender after all. If I have to do so, using emails only, Should I ask someone who knows him/her or should I ask the person directly? Personally I feel awful to approach the person with this kind of questions. How should the question be worded to be appropriate? Examples? Please indicate the culture background of the answer if you don't mind.
I"m attempting to efficiently describe a threshold of when someone has moved from being a consumer to a contributor. My context is a church setting. I'm responsible for drafting a description of the different barriers or thresholds a person encounters or crosses in the process of integrating into a local congregation. Here is what I have developed so far: The first threshold is called resonance. This is the process of tentative agreement with the beliefs of the church, initial trust of the church leadership and sensing that this is a place where one can develop rewarding relationships. The next threshold is participating in a class or small group and volunteering. I had hoped to find a word with some weight or vibe like "resonance." Perhaps induct?
There are three generations of electrons, neutrinos, and quarks. The second and third generations of electrons and quarks are unstable and decay into lighter particles. Why are there exactly three generations? Is it possible that there are more generations of increasingly massive and unstable particles that we aren't able to discover yet (for instance, at higher energy levels that we are capable of), or is there some known reason why it has to be exactly (and can't be more than) three? edit: in addition to the link above, I also found this question helpful: What Do We Get From Having Higher Generations of Particles?
There is a quantity known as scattering cross section which is given as a function of frequency. It means the ratio of the scattered power by the particle to the ratio of the incident power on the particle. Is radar cross section the same thing as scattering cross section? Some electromagnetic solvers (like CST studio) give radar cross section and absorption cross section only, so I guess it should be the same as scattering cross section.
When using quantifiers, it is probably important to pick up certain habits that veterans agree upon as early as possible. Since it was pointed out to me by a highly esteemed member that it's sometimes better style to avoid quantifiers, I was wondering what the convention is with respect to when to use them and when to avoid them. Since they are logically equivalent to the words spelled out in plain English but do it in less space, I was under the impression it would never really hurt to use them, but that is probably a naive view to take, so I'm looking for some advice there.
Several trade products, especially food, have been named after their places of origin throughout the centuries. To mention just a few, champagne, after Champagne, France. calico, after Calicut, India cashmere, after Kashmir, India/Pakistan port, after Oporto, Portugal muslin, after Mosul, Iraq alsatian (a German shephard) after Alsace, France china (tableware), after China canary, Canary Islands spa, after Spa, Belgium Is there, in linguistics, a phrase or term for naming something after its place of origin? Edit - Re Tim's answer, although most of them are trade products, the term I'm looking for also includes animals, behaviors, recipes, etc.
I have a probability book (for actuarial exam preparation) and the author states as an assumption that "if the probability space is rectangular" in order to show two random variables are independent: I could not understand why we need this assumption, so I looked at my math stats book, and it appears the author here does not mention the rectangular region assumption: What is to be made of this?
What is the job title or name for people who creates content for a social media website to drive traffic. For example, a new social media site wants viewers so they have a small group of people who are content experts write posts and answer other posts. They may or may not be paid. Options I've got so far: Volunteers, moderators, early adopters, betas... For the record, I don't like these options...
I'm a little confused on what to answer to this: Determine whether the function floor(x) is big omega of x. The above function holds for integers but not for real numbers. According to the definition of big omega x could be either real or integer so I'm unsure what is the right answer although I've seen that the solution is that it does hold according to some online solutions. Could somebody explain the correct answer for this? Could I say on my answer that it holds for integers and not for reals? I'm taking a basic course on discrete math so I'm relatively new to this concept, thanks for your help.
This is a follow up question to the link below: Remote bibliography I have the same problem, I can't use a bib file from Google drive. I'm sure I'm running Biber and biblatex, because if I use a local location it works just fine. Yet Biber wouldn't find the remote bib file... What I'm not so sure of is whether I'm getting the URL correctly. What I did was make the for public and the downloaded it after which I could get a URL. That was the URL I used. Is that the correct way to obtain the correct URL?
The Wikipedia article on deep inelastic scattering suggests that the experiment shows baryons have three point of deflections (corresponding to three quarks) and mesons have two points of deflection. How are the electrons fired in this experiment being detected, and how exactly do the two or three points of deflection appear in the data? Are they fired at a target consisting entirely of baryons, or are collisions with non-baryons somehow filtered from the data?
In Carroll's we read ...The Unruh effect teaches us the most important lesson of Quantum Field Theory (QFT) in curved spacetime, the idea that "vacuum" and "particles" are observer-dependent notions rather than fundamental concepts. I wonder are we talking about the same observer or two different observers using two different frames? Put it another way, can the same observer who observed nothing using a frame detect a thermal spectrum if switched to another frame that is uniformly accelerating with respect to his previous frame? Does it apply both ways? I mean if an observer detects particles, does this observant-dependent notion of particle content of a given state, implies that he can switch to another frame in the blink of an eye, and detect nothing?
Blue is perceived darker than yellow by the human eye, because of biological principles within the eye. I can understand that therefore, when making a picture black&white in software like Adobe Photoshop, the software takes this perceptual information into account. However, in very old analog photographs, blue also appears darker than yellow. What is the reason for this? Is this just a lucky coincidence of the chemistry of the photographic film? Or is blue in some way really darker than yellow?
Here is a sentence, slightly modified to be generic, for an award. My supervisor insists that the sentence is incorrectly written, although I cannot spot the error. ...the person was located and after XXX, BOB was immediately deployed to the frigid river to render assistance. Bob expertly directed the recovery of the severely hypothermic survivor and provided critical medical care enroute to XXX Hospital, saving her life. Sure, there are other ways to write it, but space is an issue and I feel this is the most effective way of writing the sentence. I was given the advice that it might be a dangling participle, but I am not sure it is. Thoughts?
Is photon interaction , electrostatic interaction outside the nucleus and gravitational interaction is all due to electromagnetic waves ? and CAN be identified as with the de Broglie waves ? I thought of a theory in which is assuming that photon interaction , electrostatic interaction outside the nucleus and gravitational interaction is all due to electromagnetic waves and can be identified as with the de Broglie waves in order to explain how the force of gravitation act between particles . So can this assumption stand a chance of being theoretically and experimentally correct . Please add your comments regarding this in your answer and please explain why or why not .
Adobe Typekit fonts install themselves in application fontlists (Word, InDesign etc.) but do not install in the Mac Fontbook. They are rented so this is their way of enforcing licence terms. Since they are effectively hidden in the directory structure, I cannot find a way of using them in Latex documents with the fontspec package. Has anyone managed to work around this and use them with fontspec??
I'm just going to use the standard article class to create my slides manually. The question is, what pagesize is appropriate, and why? Should I take into account my projector's resolution and/or the laptop's resolution? How should I set a custom pagesize, in case I need a substandard one? Actually: I used a projector at school once and gave a presentation of slides created with Beamer. It worked fine (although I'm not sure I could have improved the resolution to better fit the projector/laptop). How can I bring the default Beamer pagesize over to the article class? That might work too.
Mica is a good conductor of heat but an electrical insulator. According to free electron theory (which applies only to metals) free electrons carry heat and electricity. Therefore, thermal conductivity is directly proportional electrical conductivity. What about dielectric materials? In the case of mica, it conducts heat but not electricity, so what are the carriers responsible for this behavior. If the are electrons as they are in metals then why they don't carry electricity too?
Having a tad bit trying to prove this question, Show that the set of reflections is a complete conjugacy class in the euclidean group E. Also, do the same for the set of half-turns and inversions. For the first set (reflections), I have that the set of reflections is a complete conjugacy class in E because the conjugates of a reflection are reflections with a translated, rotated and reflected mirror plane. Hence, the conjugate closure of a singleton containing a reflection is the whole E group. (This I got from some definitions). I don't know quite how to prove the question. Any help would be great or any suggestions. Thanks in advance.
I'm trying to find the fixed point for the system (see document attached) but it seems so hard and I don't know what Im doing wrong. Can somebody help me with this. I need to find the to look for the value where the bifurcation occur (for that process i need to evaluate the jacobian matrix for the system on the fixed points and the looks for the delta, which is really easy) but this is the only part where I'm stuck. Please see document attached
I am attempting to write a personal statement at the beginning of a resume and am having a quandry as to how to write the following: I am a super hero with seven years' experience in blowing out fires with my exhalation... I assume that since the experience doesn't belong to the seven instances of years, this is incorrect use of the plural possessive. How can I write this statement properly?