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1:24 AM
@Real I agree. If we would be around 10 times more, it had probably a significant chance
@Real The main problem with the current system, that it creates continous conflicts and sick directives (f.e. closing and later deleting interesting exercises), while it is not really attractive for research level members.
@Real We've tried that before. It was a rather spectacular failure.
@Ulthran What @DanielSank said, and also, learn math. Being very comfortable with calculus is a huge advantage. If you do go into physics as a career, then later on you will have the chance to specialize somewhere on the spectrum between theoretical and experimental physics. For theory, you need to know math very well, and for experiment, you need to be good with tinkering.
1:40 AM
I have a question about the papers on arxive.org website, I wanna now if they publish any paper? Are their published papers peer reviewed? and if people can refer to its papers?
anybody can help?
@2physics are you the guy with the grandpa
@0celo7 what do you mean?
@0celo7 I don't know.. maybe I'm the grandpa :D does it make difference?
did you make a post about your grandpa
why did you ask?
1:58 AM
clearly someone was asking about their grandfather
@0celo7 okay, it was not me.
@0celo7 both of my grandpas have passed away.
@0celo7 can I ask a question related to the nuclear physics here?
We do not guarantee you will get an answer
or that if you do, it is correct
alright, I haven't searched it yet btw.
when the electron is in its wave form, what makes it bounded(didn't find a better word! lol) to the nucleus?
if you want to explain it to a high school guy, how'd you do that?
2:19 AM
Dunno, I'm not a physicist
@0celo7 thanks.
2:33 AM
@DavidZ FWIW being good at math makes experiment a lot easier too.
@2physics np
@ACuriousMind I took a 3x3 determinant correctly oh I'm so happy
@Ocelo7 Now try a 5x5
@Ulthran I'm not in high school, so no.
@Ocelo7 :P Is that so useless it can only be done in high school?
currently doing quantum mechanics homework
2:44 AM
Currently on my 15th hour of stoichiometry... So... Much... Fun...
to be fair I use stoichiometry a lot at work
What do you do?
undergrad research
solid state physics
2:46 AM
I would imagine it's a bit more fun when you're doing it as a means to an end rather than just doing questions 1-99a-z though
it's not fun
and it's one calculation
then you make the thing
I just figure out possibly the simplest proof that division by zero will collapse any algebraic structure it is present in:
Suppose we have a set with elements a,e and closed under @. Given two axioms 1) a finite sequence of e@e@e=a and 2) e is an identity under @. Then by closure a@a=e or a@a=a
However note that by axiom 1, a@a=e@...@e@a. Then by repeatly using axiom 2 we get a@a=a. Thus if a is not at least a neutral element of a we have a contradiction. Moreover by using axiom 1 twice a@a=e@...@e@...@e. Using axiom 2, we get a@a=e
Therefore a@a=e=a. Thus the set has only one element e QED
3:09 AM
I am almost driven crazy, it took me so long, but I still can't figure it out how to install numpy into my python
What is numpy?
something that rhymes with lumpy
3:49 AM
@Secret a package in Python to do linear algebra/scientific computation
3 hours later…
7:16 AM
@2physics arXiv is a preprint website, so most things there have either been submitted or already published in a peer reviewed journal. You can cite papers off of arXiv, but typically you'd cite the version that got published (but in some fields the review process may take too long).
@Shing If you're on Windows, the easiest way forward is to probably use Anaconda or some other Python distribution. On other platforms the problem doesn't really exist.
@BernardMeurer How about checking out the courses on Coursera, edX or Khan Academy, and if you're not into watching videos, see what books they recommend.
@NoahP :-)
@SirCumference: you don't need calculus to analyse linear motion in special relativity. However you do need calculus to understand accelerated motion. Even if you are only interested in linear motion, understanding the (very simple) differential geometry that describes SR will make a huge difference to your understanding of SR.
But unless you're 0celo7 and doing screwy calculations for fun, only a basic understanding of calculus is needed to understand SR well.
8:02 AM
@NoahP BTW I passed the info about Crest on to my brother, and it's something the school already does. He mentioned there's a similar scheme his school does called Headstart - I don't know if you've ever come across that one.
8:21 AM
@JohnRennie I've heard of them, but I don't think our school offers them
@JohnRennie @DavidZ Do we call this homework?
Q: How to prove my mathematical induction that a pendulum follows SHM?

RosalinCould someone please tell me how I can prove that a pendulum is following SHM. I know the differential equation and the angle I used is 20 degrees. It is also fine if the proof or conjecture is by lagrangian mechanics. Thanks.

I'd close as insufficient prior research, though I've given the OP a chance to respond.
@JohnRennie When a magnet attracts a metallic ball, would I be correct in saying that the energy is drawn from the magnetic field and transferred to KE of the ball?
It's not as simple as that.
If you consider an isolated system there is an energy stored in the magnetic field. For example if the isolated magnet was an electromagnet you would need to put electrical power in to create the magnetic field.
However when you have two objects the total energy is a property of the system and can't easily be pinned down to any single object.
But would the introduction of a steel ball then reduce the magnetic potential of the magnet and increase its own?
And then the MPE of the steel ball is transferred to KE as they are attracted?
8:36 AM
Not necessarily. I don't see any reason why the presence of the unmagnetised ball should have any large effect on the magnetic field.
So when it is attracted to the magnet, where on earth is that energy coming from?
There must be some sort of negligible effect?
Potential energy doesn't have an absolute value. It looks as if we must be getting energy from nowhere as the ball falls in, but that's only because the absolute value of the potential energy isn't defined.
The way to look at this is to consider a cycle involving letting the ball fall in, then taking it back out to it's original position.
That makes alot more sense
Q: Does a magnet create energy?

Tanishk SharmaI know what i am asking is not possible , but the scenario what i am pondering over I cannot explain. So let's assume their is a huge magnet subtending from the top of the burj khalifa (Tallest building, Dubai). The magnet is so powerful it can pull objects from the ground below. I keep a series ...

See the first comment; completely non-sensical IMO
8:43 AM
If you find you can get a net amount of energy out there's obviously a problem because you'd have non-conservation of energy.
But as long as the net energy change balances out to zero there's nothing to worry about.
@JohnRennie You call that a problem? I call it a miracle, and a solution
If it's any consolation I remember getting very puzzled about exactly this point as an undergraduate. It seemed to me that there must be negative energies involved, which i found most disturbing.
Q: Prove, give counterexample or show trivial conclusion of the existence of mathematical objects with empty sentences?

SecretRecall in classical logic a sentence $\phi$ is a boolean valued statement that may be true or false (To narrow down the scope, we restrict ourselves such that the empty string has its usual properties being an identity element wrt concatenation). Then $\phi(M)$ is a statement about some mathemati...

My experience told me that I have to be careful not to let any of my questions closed. Because my questions are generally too weird that once closed the chance for them to reopen is close to zero no matter the edits
Put it in another way, once the question is closed, people will have an excuse to no bother about it anymore because there is too much weirdness to resolve in order to make the question meaningful
I am kinda glad this phenomenon is less common in my experience in PSE because physics have restrict the number of possibilities of me asking weird things
Another phenomenon is that generally, even if an edit is done to the question to clarify concerns raised in the comments, most people generally don't retract their close votes. Therefore, my philosophy is that you must get the question right before it attract the first close vote as once that happens, you are done and it will be closed
9:03 AM
@Secret Completely agree with that
See the comments of this question:physics.stackexchange.com/questions/269040/…
To me, most of the time, if a quesion is closed it is the same as the community saying the following:

"This question is not interesting, and we don't fucking care whether you will elaborate that to us because we don't bother to understand"
I think that's a little harsh @Secret
well, maybe that's only for a few cases where the comments are not being read by the users. I have seen couple of examples where there are no response when the OPs ask for clarification in the comments and try to fix their questions
for PSE, this phenomenon is more common in the homework like questions
The good news is that at least for PSE, based on the latest correlation data DavidZ collected, close votes are not strongly correlated to interest, thus when we finally fix that homework like closing reason, there is a way to improve the situation
9:58 AM
@NoahP eh, I wouldn't, but I would consider it unclear
@Secret I might have goofed up that analysis a bit - I fixed some issues with it and the interest correlation came back, though not as strong as before. Anyway, I'm currently working on a meta post with details.
1 hour later…
11:16 AM
@JohnRennie Can I ask what this was?
11:29 AM
It looks relatively close to the money to me, though there's still some way to go in firming it up.
11:46 AM
@EmilioPisanty We were having yet another argument constructive discussion about the homework policy and Daniel challenged me to provide a definitive description of the current policy. That was my attempt. I left it deleted so that only the high rep users would see it.
But Daniel doesn't agree with that policy, ACuriousMind seems ambivalent and DavidZ says it's pointless anyway as the idea is to eliminate the term homework from the policy.
As of right now I have absolutely no idea what any changes are intended to achieve. That answer is the way I think things should work, but I seem to be in a minority of one.
12:04 PM
@JohnRennie That's a grand state of affairs.
@NoahP : it isn't. You do work when you pull the magnet and the ball apart. In similar vein you do work when you lift the ball. It's all fairly straightforward stuff, see my answer. The books always balance.
@alarge thanks. so, since some of the submitted papers may be rejected by the referees of peer reviewed journals , therefore we can't cite the papers on arXive I mean we better not to use them as references. right?
12:18 PM
@JohnDuffield Answer looks good, but what if I had two steel balls at a distance, and then I instantaneously magnetised one? Then theres no work done in moving them apart (I see they your answer addresses this, but the comment I replied to did not)
@EmilioPisanty Tell me about it :-(
12:41 PM
@2physics Sure you can use them as references. Peer review is no guarantee of correctness either. If the paper did get rejected, it'll probably be resubmitted to some other journals until it goes through.
@alarge yeah, you're right.. thank you for your answer & help.
@peterh This is the exact definition of a link-only answer. Why would you click "Looks OK"?
It's fine as a comment, but it is not an answer unless it summarizes the actual answer to the question in at least one sentence.
@alarge and a more general question, what is the criterion for a paper/research to be used as a reference for future works? something that most researchers, referees and journals accept.
@2physics Uh...a reference is a reference. You put it in because it is relevant to what you wrote, or you even cited it. How would anyone be able to "reject" that?
@ACuriousMind wait did you just recommend closing an Urs post!??
12:52 PM
Q: How can the universe expand if there is gravitation?

blackcornailWe live in an expanding universe - so I'm told. But how can that be possible? Everything imaginable is attracted by a bigger thing. So, why can't gravitation stop the expansion of the universe? I know the "Big Bang" theory, but is it possible that the expansion of the universe is caused by the at...

@JohnRennie surprised that you touched that with a barge pole
@0celo7 We don't close answers, but yes. No exceptions to the rules.
@ACuriousMind you know what I meant.
@ACuriousMind I mean at least it should've been reviewed by some other researchers , isn't it?
@2physics Surely it will look better if you have a peer-reviewed reference.
If you can only find viXra papers to support your claims, you'll have a hard time :P
viXra is legitimate @ACuriousMind
12:55 PM
But I don't think there are hard rules against citing e.g. a preprint before it is actually reviewed/published
Though it may depend on the journal you yourself want to publish in
@ACuriousMind I don't know how to explain my question, I want to know if arxive papers are trustworthy to be used as references? because I've seen some papers/researched published in there which have been falsified/rejected by other researches/papers/reasonings which have been published there on arxive too!
arXiv is...pretty trustworthy, although you can certainly find some nonsense on there. I think if you cite something, you should be competent enough in the field to judge whether it is trustworthy or not yourself. If for some specific paper you're not sure, ask someone you trust who is.
@ACuriousMind ok thanks. you know, you read sth there and think yea it's a good idea and then after a while you find out oops somebody has questioned the idea and has rejected it with some acceptable reasons which you didn't care before.
@ACuriousMind how do you take your eggs? Steak?
What cut of beef is your favorite
@2physics Well, that's the way science goes, no? That some proposals may have been wrong or shown to be irrelevant doesn't make them "untrustworthy"
Finding out if someone later pointed out issues with something you find interesting is just due diligence in research
But you can also have that with published peer-reviewed articles
Peer-review is no guarantee for correctness, especially not for papers that are inherently speculative
@0celo7 Yes, I take my eggs as steak ;)
@0celo7 A large cut
1:09 PM
@NoahP : imagine the ball you magnetize is so much bigger than the other ball that you can't see it moving. Focus on the other ball, the little ball. It now moves faster towards the big ball. More of its mass energy is converted into kinetic energy. After it hits, this kinetic energy is dissipated, and the little ball is left with more of a mass deficit.
@JohnDuffield Sure, I get that, but I felt his comment didnt mean that
@ACuriousMind cmon
@ACuriousMind do you not know what I mean?
@NoahP : OK noted. No probs.
@0celo7 I do
Filet, sirloin, prime rib, etc
1:10 PM
I just like messing with you :P
I hadn't noticed
@0celo7 I'm not sure I unequivocally prefer one over the other
Flank steak?
Porterhouse, New York strip?
@0celo7 I'm also not really familiar with all the English names for the parts
For instance, if I eat steak, it's rather often labeled as "rumpsteak" here, but it appears an American might call that sirloin
Actually I think it's a fair question, and it touches on an important principle in GR. A solution to Einstein's equation isn't some space that then evolves backwards or forwards in time, the solution is a **spacetime**. That is, it is a 4D function of spacetime that exists for all values of $t$ as well as $x$, $y$ and $z$. This is why you'll hear people (like me!) saying time doesn't *flow* in GR.

So when we solve the equations to get the FLRW metric we end up with an object that is expanding infinitely fast at $t=0$ i.e. $\dot{a}/a \rightarrow \infty$ as $t \rightarrow 0$. So asking why t
1:18 PM
@ACuriousMind I know what a rump steak is
@JohnRennie I mean that I'm surprised you're not still traumatised
I don't know what a New York strip is in German
@NoahP I agree with John, it was an easy question with a simple answer. And we've seen much more traumatising questions
@NoahP Like I said, I think it's actually a perceptive question.
@Jim I've provided some myself, hence the comment
@JohnRennie Yes - did you see my suggested edit? It was rejected, but I still think it would be helpful
1:21 PM
@NoahP Are you the reason I have PTSD now?
@Jim I had some particularly irritating questions on dark energy and the friedmann equation, so possibly
@0celo7 No, Wikipedia indicates that what's called a rumpsteak here is actually a different part of the cow than what's called a rumpsteak in America
@NoahP no, if you know enough to reference the friedmann equations, it won't be trauumatising
@ACuriousMind True, but it seems some referees think that just published works are trustworthy. one has asked me why didn't you mentioned this and that in your references! ..you know somebody doesn't care about "correctness" they just care about what may others think about them if they accept this paper/idea for publishing. I don't understand how sb can comment on judge sth that doesn't know enough about it.
@Jim If you ask @JohnRennie about it, you'll get what I mean
1:23 PM
official questions or chat questions?
@2physics I'm not sure I follow you.
Did they say your references were bad or did they just suggest including more things in your references?
Those are two totally different things
@Jim Both
I'm also not sure how you jumped to the conclusion that someone here "only cares about what others may think"
It was a set of problems I was completing
@ACuriousMind both, and quite irrelevant questions
1:26 PM
Getting all judgemental because someone said something you don't agree with is usually not a constructive course of action.
@2physics Have a look on Academia, there are a few questions over there about referees asking to include irrelevant references, iirc
@ACuriousMind not here, I'm talking about people who accept to judge papers
@NoahP I read the official ones. They were good mostly. Traumatising questions are like "If nothing can escape a black hole, how can the Big Bang exist? Doesn't that mean scientists must be wrong?"
@ACuriousMind I knew if I had a structure $K=(S,\cdot)$ where $S$ is a set and $\cdot$ is a binary operation which obeys closure, then $K$ is a magma. But what if I have a structure $R=(S,@,*)$ where $*$ and $@$ are binary operators does the algebraic structure of $R$ has a term to refer to it?
@Jim The way they expanded in chat and the time they took was traumatic
@2physics ...I meant "here" as "in this situation", I know you aren't talking about people in this chat. Sorry, that might have been badly phrased.
1:27 PM
@NoahP Also yes
@ACuriousMind Because - although it is link-only - it seemed very HQ, and what it only needs that somebody copies the essential part of 8.3 into the answer. Anyways, the link rotting problem has only a quite small chance in the case of the Arxiv. We can say, I decided in the spirit of the rules and not in their literal sense.
@ACuriousMind I thought you said it was a sirloin
@Secret I don't think there's a unique name for that. I remember someone joking it should be called a "rg", since some call rings without identity "rngs", and this would be a ring without identity and negatives.
It amuses me that the accepted answer is different to the answer that John Duffield awarded his bounty to on this question: physics.stackexchange.com/questions/251385/…
1:30 PM
@0celo7 After reading a bit, I'm now just baffled how much disagreement there seems to be over the partitioning of a cow.
@ACuriousMind If a question wants me to "describe the topology" induced by a basis, can I draw a picture?
@0celo7 Uh...probably?
how do I actually answer the question
@ACuriousMind you know when journal staff ask you to judge a paper, if you don't know enough about the issue , you shouldn't accept to do that. but sb doesn't care and comment on everything . that's what I mean.
I mean, there's no unique way to answer that question, if you think your best description is a picture, then draw one
1:31 PM
I could not give an $\epsilon$-$\delta$ proof of what subspace topologies you get on a line embedded in $\Bbb R^2$ with various topologies
I actually do not know how to do it
@ACuriousMind ok thanks
@2physics Yeah, I'm saying you shouldn't directly jump to conclusions like "this reviewer doesn't know enough about the issue" just because they said something you disagree with.
You can think it, but it's not constructive to directly tell that to everyone
@ACuriousMind lol
@ACuriousMind because they assume the axiom of choice
Oh my god
there's a choice maniac in my analysis course
he's asked like three times if what we're doing assumes AoC
1:34 PM
the Banach-Tarski paradox on cow partitioning
the prof clearly does not give a shit
@peterh Most link-only answers only need someone to copy over the essential parts. The whole point of marking them as link-only answers and recommending deletion is to get someone to do it!
@ACuriousMind sure. It was just a complaining. :D
Yeah, riddle me that mathematicians
how come I can't get infinite steak if AoC is true
@ACuriousMind QM homework wants me to assign "physical meaning" to
1:38 PM
I'm pretty sure this is a spin-1 matrix, but we have not covered that.
Yeah, it looks like the matrix representation of a spin operator for spin 1
Don't know about that $1/\sqrt 2$
We haven't talked about spin other than 1/2 thus far
@yuggib If accepting the axiom of choice gives us the ability to make two cows' worth of beef out of one, then I think you just gave the ultimate argument for accepting the axiom of choice :D
@0celo7 just double steak
@ACuriousMind e.g. Witten would be unconvinced
1:40 PM
@0celo7 That's just a normalization factor
@ACuriousMind clearly
@ACuriousMind exactly
but still, am I just supposed to dream up spin 1 operator?
@0celo7 Why not, you seem to dream up differential geometry with no problem? :D
@ACuriousMind speaking of that, I do not understand the proof I was searching for in my dream when I read it yesterday evening. I had another nightmare about it
1:41 PM
@0celo7 I'm sure we can try to apply Banach-Tarski to tofu
I have to fit geodesic balls into small places
@0celo7 Why do you call these "nightmares", actually? Haven't you got any actual nightmares?
These are my nightmares
I'd take failing at some proof over being chased by a horde of nondescript but terrifying entities every day :P
@0celo7 He's just being thorough
1:43 PM
@yuggib no, because he's always been wrong
anyways if you were wondering, C is necessary also for nonstandard analysis
In the last 90 days, there were at least 71 questions closed due to insufficient effort. This does not include homework-like questions, questions closed as unclear, or anything else. Only those where someone has specifically closed a question using a custom reason that includes "insufficient effort" in the comment. 71. In 90 days. If this is the case, remind me again why we don't make this a close reason?
and you also need CH to make all the nonstandard constructions equivalent
@0celo7 then he's aware of his own weaknesses
@yuggib I was not
@yuggib he keeps making comments
They're never helpful
there is always someone like that...luckily they usually do not survive the first couple of years
1:51 PM
@ACuriousMind Btw, in my opinion, a 7k+ user being obviously a physicist, deserves an above average lenience, especially if there are strong mitigating circumstances, too. I copied the 8.3 into the answer, while I also fixed the latex incompatibilities :-) At least this I can do :-)
@ACuriousMind Now the link-onlyness isn't a problem any more, although it could be maybe better, if the citated text would be self-contained (there are references to external tables, etc) and only the really important part would be there. But it requires only some deletion which is much easier as the copy-paste with the latex conversion. Bye until the end of the CET worktime.
(Later) I think I have divided by zero. More interestingly, the subalgebra of that algebraic structure are groups under + and x respectively. Yes I have forgone the distributive law. I will tell you guys later after I took my bath
@Secret Nothing is more interesting than dividing by zero
@Jim dividing by zero is not so interesting; dividing by an infinitesimal however...
2:06 PM
@yuggib but in those cases, you know what happens. When you divide by zero, who knows what happens. It's undefined. Magnets start flying out of windows. Babies start crying sideways. Up is blue. It's interesting
2:20 PM
@Jim You don't always know...
what happens when you divide an unbounded number by an infinitesimal?
when you divide by zero you're just doing metaphysics
Ok guys I am back, to begin I will present the raw result in the form of the Cayley table
As we look at the X Cayley table, it is easy to see it is isomorphic to $\mathbb{Z}/3$
Now since all the elements are here, the structure is closed under + and X
In addition, it is commutative as evident from the symmetry of the Cayley tables
@Secret The raw result of what?
The raw result of the rules of this algebraic structure summarised in the cayley table (excpet it is not distributive)
Now, highlighted in blue are the additive and multiplicative identities respectively
@Secret Why are you telling us this?
I.e. why should be care about that Cayley table?
2:32 PM
I'd like to consult your guys to see if there are contradictions I overlooked, despite I have systematically run through many cases
because if there isn't then it is an interesting structure because there is nontrivial division by zero
i.e. 0 has a multiplicative inverse here
@Secret See, that is something you should have started with instead of saying it only after I asked you.
@ACuriousMind In QM. For the free particle you stated that: Every eigenfunction of $\hat{P}$ is one of $\hat{H}:= \hat{P}^2$. So would the common eigenbasis be all the eigenvectors of $\hat{P}$?
ok I will keep in mind to mention the aim when I present something next time
@Alex Yes, correct
Now, if we look at the X Cayley table, it is easy to see that every element has a unique multiplicative inverse, including zero. Likewise, in the + Cayley table every element has a unique additive inverse
2:35 PM
@Secret Also, when you say "contradictions", you have so say contradictions to what. You haven't told us what this is suppsed to be. A ring? A semi-ring? Just a structure with two binary operations?
I have struggle to find a term for it because it is kinda like a semiring except there are no absorbers nor distributive law
So what do you expect us to do?
If you can't tell what this should be, then how are we supposed to point out "contradictions"?
Well, whenever I think I found something interesting, I tend to share to my friends and we discuss together about it as they can often see things I overlooked to ensure it is not an empty happiness. For this case, the contradictions I am looking for are those that plague division by zero systems such as 0=1, a=1, a=0
If we call the set with three elements $\mathbf{3}$ for a moment, then all you've done is write down two maps $\mathbf{3}\times\mathbf{3}\to\mathbf{3}$.
You can't tell us what sort of algebraic structure they are supposed to be, but for some reason you call those maps "addition" and "multiplication"
Why do you call them that if there's no distributive law?
@ACuriousMind Okay thanks. One small query...If we first measure the energy then it would collapse the quantum state into one of the eigenvectors of the common eigenbasis, then measuring the momentum would give the same state (since it is common...). But what if we measure the energy and collapses into a member of the eigenbasis of the hamiltonian which is not a member of the common eigenbasis then would measuring momentum change the state into one which is a member of the common eigenbasis?
2:39 PM
Wait, so + and X are only defined if there are distributive law, otherwise they are only some generic multiplication operator?
@Alex Yes, also correct :)
@Secret Well, there's no hard an fast rule, but in the absence of a distributive law, I'm wondering why you call them "addition" and "multiplication"?
What do they have to do with actual addition and actual multiplication
@ACuriousMind Unexpected, I have never been right twice in a row on chat...
@Secret It seems to me you find this interesting merely because you attach the words "addition" and "multiplication" to those operations, and never stopped to think about why you do that.
Hmm... you are right, it seems I can only call those identity elements under the respective operations respectively because the way they are written out, the + and X does not really "interact" with each other due to the lack of distributive law
So I am guessing, one cannot really call some identity elements "multiplicative identity" or "additive identity" without the distributive law (as that is the only law I knew that make + addition and X multipication, unless I overlooked something)
@ACuriousMind By the way, in the + Cayley table, what kind of group is that. It is one element off from being isomorphic to the Cayley table of $\mathbb{Z}/3$?
@Secret It's not a group.
2:53 PM
but it is closed under +, each element has unique inverses indicated by the identity entries 0 appearing only once per column and row, is associative and the identity elemetn 0, isn't that the 4 criteria needed to be a group?
@Secret It's not associative.
If it were, you would have $0+1 = 1+1 \implies (0+1)+a = (1+1)+a\implies 0+(1+a) = 1+(1+a) \implies 0+0 = 1+0 \implies 0=1$.
Wow that not obvious. How do you managed to see that. I always find associativity hard to check because there are so many cases?
@Secret I knew it was not a group because all groups with prime order $p$ must be $\mathbb{Z}/p\mathbb{Z}$
In particular, this one seemed to violate Cayley's theorem, since it would have had $\{0,1\}$ as a subgroup, but 2 does not divide 3.
No wonder that grid of $\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}$ look familiar...
3:12 PM
hmm... in that case, I think we have found the necessary condition for division by zero implies trivality: Since without the distributive law two operators cannot be called addition and multiplication respectively. It means for zero to have a multiplicative inverse, zero cannot be an identity.
Also since zero has a multiplicative inverse, it cannot be an absorber. This means there is no element that can be called zero (since it is neither an absorber nor an identity) that will satisfy the criteria for division by zero. Therefore in general, division by zero does not exist in all conceivable algebraic structures
except the trivial field
wait a sec, there's a mistake in my presentation. I will reanalyse later...
3:30 PM
Ok after correction I basically have two copies of $\mathbb{Z}/3$ one for X one for +. However attempt to include at least one sided distributivity immediately result in the trivial condition e.g. 0+1=1 => 0(0+1)=01 => 00+01=0 => a+0=0 =>a=0, thus collapsing the structure into GF(2)
@Jim we can only have a limited number of close options and we're at the maximum. So if we wanted to make insufficient effort a close option one of the other options would have to go. The path of least resistance is to use it as an unofficial option.
@JohnRennie If we want to make the policy chaos perfect we could try to discuss whether we really need an explicit "non-mainstream" close reason :)
3:48 PM
@Jim Because people don't seem to agree on the definition of insufficient effort, I guess
@ACuriousMind: I have yet another quasi-meaningless question about QFT, but I will ask it of you only if you haven't anything better to do. Shall I go ahead?
(If you say no I will only sulk for a short time)
@JohnRennie Possibly there are too many claim for new close reasons. The MO has fewer as the current PSE. Maybe their number could be reduced, for example over high school level there are quite few exercises in the net around. But efficiently learning something can be done only if you have exercises, too. It could be a breakthrough point, when the homeworks of the physics students would be converted to an exercise library.
@JohnRennie Go ahead
@ACuriousMind Suppose I'm considering the scattering of two particles. We start with them at infinity so they don't interact and we can describe the initial states as $|1\rangle_a$ and $|1\rangle_b$ (I'm not sure what notation indicates the particles are different). OK so far?
@JohnRennie Well, we would usually write the initial state as $\lvert p_1,p_2\rangle$, where $p_1,p_2$ are the momenta, but okay
3:59 PM
@EmilioPisanty based on your present set of bounties totaling 1 kRep, I think you should change your handle to "Emilio Moneybags Pisanty".
Once they start interacting we no longer have well defined states like $\lvert p_1,p_2\rangle$, so we give up and use perturbation theory to calulate what happens.
In the calculation are we (in an ill defined way that I haven't thought through) expressing the state of the particles as a sum of different free field $\lvert p_1,p_2\rangle$s?
@JohnRennie Not really.
Ah, OK, that's not unexpected but disappointing.
Since it would have provided a nice simple interpretation for virtual particles.
Damn that real world! :-)
The actual intermediate state of the process appears nowhere in the calculation, actually, it's fully encoded in the time evolution operator
what do I have to install to be able to see equations here in chatrooms? I've asked it earlier but I couldn't fix it.
4:10 PM
@2physics Look in the upper right corner of the chat room.
@ACuriousMind search you mean?
Where it says For MathJax see ...
@2physics No. Read the room description.
A: Any chance of MathJax in chat?

Ilmari KaronenAs a workaround while this request is pending, there exist several client-side workarounds that can be used to enable LaTeX rendering in chat, including: ChatJax, a set of bookmarklets by robjohn to enable dynamic MathJax support in chat. Commonly used in the Mathematics chat room. An altern...

You can install some Javascriptlets that will translate the MathJax into equations.
Wrong and proud of being wrong ...
A: How can the universe expand if there is gravitation?

displayNameOne simple explanation is that the universe is not expanding at all. In the absence of external force, the center of mass of all the physical bodies in universe will stay stationary. So, essentially bodies are moving in such a way that center of mass is stationary while in our limited vision we ...

Given what a great learning resource this site is I'm amazed how resistant people can be to learning anything from it.
@DanielSank I just have too much of the damn thing around.
4:19 PM
@2physics I used the bookmarks described on this page (with Chrome) and they work very well.
That said, this does look a bit scary
@Jim : that's an easy one.
@EmilioPisanty Poor you ;)
@peterh I've said this before and I'll say this again: the user should not be taken into account in any way when judging a question.
@JohnRennie yup thankyou. it worked
@ACuriousMind thankyou too
@2physics Cool :-) I tend to use only the on demand translation as it's not that often I need to see the equations. I've actually got pretty good at truning MathJax into a mental image :-)
4:26 PM
@JohnRennie how do you type formulas so fast? do you use any software or you memorize characters
@2physics there isn't that much to memorise. If you use MathJax a lot you find you remember (most of) it without even trying. I still have to consult a MathJax reference from time to time e.g. if I've trying to write something i have done for a while.
The good old 90:10 rule applies - 90% of the stuff you need to write can be done with 10% of the MathJax syntax. Though in my case the rule is nearer 99% and 1%.
@JohnRennie wow, that's great job
@JohnRennie you know I used to type equations in some software such as "mathtype" and then it converts it in the way you type it here
don't know anything about mathjax and latex
@JohnRennie : "Given what a great learning resource this site is I'm amazed how resistant people can be to learning anything". I'm afraid your answer is wrong too. Gravity does not make space fall down. Or up. Gravity is not making the expansion faster.
4:42 PM
People who smile all the time are so smug
What is up with that
@0celo7 Smug? Or plotting a fiendish revenge?
There's a dude in my QM class who smiles all the time
He's smiling right now
It's creepy
It's not even a full smile. More like a smirk
Plotting a fiendish revenge I'd say. Kill him first.
In class?
Last time I followed your advice I got a beating
Yes, you want as many witnesses as possible to testify that he was smirking at you in an evil way.
@0celo7 what, over that parallel port card? That's a bit extreme.
4:48 PM
No fooling around with funds @JohnRennie
My prof has a nun on call
She has a large ruler
Once the following is proved, its forever bye bye for all conceivable division by zero discussions
Extreme attitude no. 2: If something does not work, then it will be proved into nonexistent.
For example if a PSE question is nonsesne and I am trigger happy, then the question will be erased from history
Luckily I am not tirgger happy
Likewise if something works, then it will be promoted sky high
There is no middle ground
Because middle grounds are wasting our time
@Secret Once again, I have no idea what you're talking about.
@JohnRennie I want to learn how to use various facilities to answer/ask questions on SE, things like uploading pictures, or quote some parts of question in the answer, using various kinds of typing/fonts, adding hyperlinks, using various colors or how to highlight a line.. I mean all such stuff which can help you to explain your thoughts better. how can I learn it? I mean where to start? is it all about knowing mathjax? or you have to know sth more than that?
Sorry I got carried away because of fnally finding a way to show in the most general case divison by zero is undefined except for the trival ring
Also, theorems need precise statements. Defining "algebraic structure" and "zero element" *inside the proof of a theorem about algebraic structures and zero elements is very bad style.
4:53 PM
@2physics There are various answers explaining how formatting works in the SE. I'll have a dig around and see if I can find a link ...
EDIT: Fixed by moving the definitions outside
Also, you've again posted a screenshot of a website where a link would have sufficed and would have been more convenient since it doesn't become obsolete with edits.
> since it doesn't become obsolete with edits
Ok I did not aware of that (probably because I seldom edited away screenshots...)
Will keep that in mind
@Secret You have misunderstood me: I meant that giving a link to the site where you wrote that would have meant anyone could also see the current version of it
Like, now that you wrote:
2 mins ago, by Secret
EDIT: Fixed by moving the definitions outside
the screenshot doesn't contain up-to-date information anymore, and so is useless
4:58 PM
I see
Well there's really nothing interesting because it is still a hap hazard work in progress but here is:
01:00 - 17:0017:00 - 00:00

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