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3:16 PM
What's the difference between speed and average speed?
 
@ffahim Suppose you travel a distance $\delta x$ ina time $\delta t$. Then your average speed is $\delta x/\delta t$. OK so far?
 
proof?
fucking right hand rule
my hand cannot contort for this magnetic field
 
Jim
@0celo7 use left-hand rule then
 
well the real issue is I don't know the direction of the electron velocity
 
Jim
-1
A: What's the point of Pauli's Exclusion Principle if time and space are continuous?

user363984if they want people can get really mad for what i'm about to say so i will SHOUT IT LOGIC AND MATH/MATH FRAMEWORKS ARE JUST CONCEPTUAL AND SIMBOLIC LIMITS TO OUR MIND!! THE UNEXPLAINED AND THE CEASE OF OXTILITIES AGAINST UNCOMMON AND "ABNORMAL THINGS" IS THE ONLY WAY FOR EXISTENTIAL FREEDOM!! A ...

7 billion people on Earth and all of them think they're the first to make trivial leaps in logic
 
3:30 PM
> s much as we applaud your devotion to living life in a way that you deem logical and intelligently motivated as well as your clearly copious amounts of confidence,
jesus
> Call me close minded, but I believe that there is a time and place for everything and this is not the place for your post.
> If you are indeed as learned a researcher as you claim, you should be a valuable asset when it comes to presenting the proper physics of many issues
@Jim Too savage :(
 
Jim
@0celo7 I thought I was being very diplomatic
 
who is Jiminion, anyway?
 
Jim
a different user. I have no insights into (his?) identity beyond that
 
@Jim Any form of feeding encourages trolls, even feeding them lemons. There are only two appropriate responses, one is to completely ignore them and the other involves a red hot knitting needle.
 
Jim
@JohnRennie You, sir are frightening
 
3:36 PM
John's obsession with testicle torture is...
 
Jim
also, I usually try to respond in a way that is directly opposite of the reaction that a troll is hoping to solicit. Acting calm, polite, welcoming, and argument deflating is contrary to the insulting and angry that was clearly intended. It usually irks people when they try to piss you off and you just never get pissed off. So answering all with diplomacy means a serious user is welcomed and appreciated and a troll ends up angering themselves. Everyone gets what they deserve
 
(a) as a room owner I can see deleted posts
(b) I'm now a worried man :-)
 
@JohnRennie Listen to Denzel Curry's Imperial
It's so good
 
@0celo7 listening now ...
 
@JohnRennie Don't worry, you're too old for me.
Gook is the best track imo
If you listen to one song, then that one.
how do I get this in scientific notation @JohnRennie ?
 
3:48 PM
Select the cells, right click and choose format cells
Then choose scientific from the list of number formats.
 
nice
thanks
 
Do we really need ?
 
user116211
Just one post.
 
user116211
The tag is that post specific; don't think it will be required in future.
 
user116211
@MetaEd?
 
user116211
3:58 PM
Again flagging?
 
This chat needs to stop jumping to conclusions every time a foreign mod enters the room :P
I'll allow you to freak out when a flock of them appears.
 
@MAFIA36790 Howdy. Nice morning, ain't it :-)
 
You'll allow us?
What the shit?
Mod abuse!
@MetaEd pls ban ACM
 
Hmmm, what is the proper name for an aggregation of moderators?
 
user116211
@0celo7 Mods are actually Siths.
 
4:01 PM
English tends to have weird names for that for animals, right?
 
@ACuriousMind Murder's already taken, so I dunno.
 
WORD
 
@MetaEd A...suspension of moderators?
 
user116211
MS word sucks.
 
user116211
Windows is evil.
 
4:03 PM
An inquisition of moderators?
 
6
Q: What is the collective noun for a group of moderators?

goldPseudoLet us imagine, for a moment, a system wherein there are numerous individual rooms for socializing and chatting. Rather than being handled on a room-based basis, however, moderation is somehow distributed over the community such that every user with moderator abilities is somehow expected to be ...

 
user116211
@MetaEd WoW! Such posts exist!!
 
An auto-da-fé of moderatos :-)
 
@MAFIA36790 To a first approximation, every question is a duplicate question.
Best I've seen so far are patrol and posse.
 
I was told this was the math chat
 
4:06 PM
saddles up

 Mathematics

Associated with Math.SE; for both general discussion & math qu...
 
@JohnRennie I like the sound of that
 
Unfortunately I was told otherwise. I've got no choice but to talk about 3-manifolds here.
 
I'd prefer you talk about some 7-manifolds ;)
But I'll also take 3-folds
 
Oh, are you into g2-manifolds now?
 
@MikeMiller Yes, their singular limits are shaping up to be my masters' thesis' topic
 
4:11 PM
Hey, very cool. G2 stuff is pretty lively right now since Donaldson pushed his program for gauge theoretic invariants a bit.
Especially in Europe, I think. Is $T^7/\pm 1$ one of your singular limits?
 
@MikeMiller Yes, but a boring one ;)
 
It's the only one I know.
 
Point singularities seem to have been well-understood by others, the interesting physics seem to go down when the singularities have codimension three or four
 
Are these supposed to be like associative or coassociative submanifolds as the singular set?
 
@MikeMiller Yes, exactly!
 
4:14 PM
Point singularities are reasonably easy, given that one has an ALE Calabi conjecture type thing. Joyce proved something like that to construct the first compact G2 manifolds.
 
Having the singular set as such a calibrated submanifold, one can view "producing" the singular limit simply as a perturbation in the $G_2$-structure 3-form.
 
@ACuriousMind If one tries to make Gromov-Witten type invariants for G2-manifolds by counting associative (or coassociative) submanifolds, you don't actually get an invariant - such submanifolds can 'bubble off'. Is that visible somehow in your singular limits? That these are the walls that crossing which changes the count?
walpuski's work is relevant here
 
@MikeMiller The singular limit is essentially "sending the volume of the (co)associvative submanifold to zero", and one can physically argue that for some of the singular limits the third Betti number must change when you "pass over it".
But I just started reading into this subject at some level of detail, so I can't say much definitive yet
 
But can you then resolve that singularity in a different direction in which the coassociative submanifold is just gone after that?
I think that's basically what I'm asking.
 
@MikeMiller Yes - there are examples where on one side of the limit you have an associative 3-cycle and on the other side you're left with two 2-cycles instead you can't calibrate.
 
4:21 PM
Nice.
Well, it sounds like you're doing really interesting stuff. I'd like to learn a lot more about what people are doing on the G2 side of things at some point. But it's not easy to jump right into it.
We'll have some G2 speakers (well, at least one) at UCLA's gauge theory conference.
 
The one you linked here a few days ago?
 
I think weeks, but yes.
 
↑ dafuq?
man, youtube does some weird shit sometimes
oh, wow, and the monkey is an svg encoded into the html
weeeeeeeird
 
@JohnRennie yes:-)
 
@ffahim OK. That distance $\delta x$ can be very large e.g. you might average the speed over 100km, or very small e.g. you might average the speed over 1 micron.
But whatever the size of $\delta x$ it's always an average.
To get the speed at a point we have to reduce $\delta x$, and therefore $\delta t$, all the way to zero.
Obviously if $\delta x = \delta t = 0$ then we get a speed of $v = 0/0$ and that is undefined. So what we do is take the limiting value of $\delta x/\delta t$ as both tend to zero.
And we write this as $v = dx/dt$, where we've changed $\delta$ to $d$ to show we've taken the limit.
This is known as the differential of $x$ with respect to $t$.
 
Jim
4:43 PM
@ACuriousMind a modicum of moderators?
a parliament of moderators
 
A superfluity of moderators
 
Jim
a murder of moderators
a network of moderators
 
user116211
brotherhood of moderators
 
Jim
forum of moderators
 
Jim
4:46 PM
@JohnRennie we can't use descriptors twice?
 
user116211
no.
 
an immoderate number of moderators
 
@vzn cropped form wikipedia in the interpretation of quantum page
 
Jim
then I go back to modicum of moderators
 
user116211
Mods are basically Sith Lords.
 
4:48 PM
Voldemod
 
@MAFIA36790 also an important collection of people without a suitable collective noun
I hope
but then knowing star wars fans...
 
Jim
@EmilioPisanty A pair of sith lords. "Always 2 there are. No more, no less"
 
user116211
@Jim There has been exception.
 
@Jim ah, indeed. Point taken.
 
user116211
Have to check SFF.
 
4:49 PM
@MAFIA36790 "what do you call three Sith lords?" "a fight"
 
user116211
3
Q: How many Sith masters obeyed the "Rule of Two"?

Hack-RWe all know that the "Rule of Two" was oft violated and in an audiobook I'm listening to it seems that Even Darth Plagueis' master didn't obey this It says "precious few" Sith Lords did I am wondering if someone who has read more of the books may be able to actually count how many Sith Lords...

 
user116211
3
A: More than two Sith in the prequel trilogy despite the Rule of Two?

KutuluMikeIn this specific case, they weren't. At the time that Darth Maul was a Sith Apprentice, Count Dooku was still a Jedi, though he was already becoming disillusioned by their order. It was only years later, after Darth Maul was thought dead1 at the end of Episode I, that Palpatine approached Dooku ...

 
user116211
Too many questions related to energy?
 
user116211
0
Q: What is the rigorous quantitative definition of the concept of "Energy"?

Hamed BeglooFirst of all I acknowledge you that I posted this Question on many other forums and Q&A Websites. So don't be surprised if you found my question somewhere else. I bet when the experts saw the title, many of them said: "...again another dumb guy seeking answers to useless questions...". But belie...

 
user116211
the latest post.
 
4:58 PM
@MAFIA36790 I need your attention for some seconds, could you provide it?
It is about Mechanics book recommendation.
And to everybody: Is Kleppner and Klowenkow a good book for concepts? Please cite your suggestions, thanks a lot.
 
user116211
Why me?
 
user116211
If I can add something to the query, I will; don't have to ping specially.
 
user116211
good for mentioning everybody.
 
Because you are an Indian, and you must be knowing about NCERT books, don't you?
All aren't aware of NCERTs, so specially you.
 
user116211
Okay, NCERT means you are talking about Newtonian Mechanics.
 
5:00 PM
Yes sir.
 
user116211
WTH
 
user116211
Remove it now.
 
user116211
Anyways, I haven't read the book you mentioned above.
 
@MAFIA36790 Remove, what?
 
user116211
There is no need to use sir for addressing.
 
5:04 PM
You are a reputed person, so nothing wrong.
 
user116211
I followed the MIT introductory book by Anthony French and Mechanics by Keith Symon.
 
@MAFIA36790 bit of an overreaction, don't you think?
@SwapnilDas I thought so when I used it, but it was kind of dense
 
user116211
@DavidZ I didn't flag.
 
@DavidZ Dense here means?
 
Who said anything about flags?
 
user116211
5:05 PM
@DavidZ, chill, I was just kidding.
 
@SwapnilDas lots of concepts and equations in relatively little page space, so it takes multiple readings and a lot of thought to understand the book
 
user116211
You liked the book @DavidZ?
 
@DavidZ Is it nice for concepts?
 
user116211
I have seen it many times in recommendations.
 
Exactly
 
user116211
5:07 PM
But I didn't follow the book.
 
My Mechanics concepts have a number of loopholes, I hate that.
 
user116211
Keith Symon is really good; you can check it.
 
user116211
Maybe there is a copy in the Archive.
 
Lemme Check.
Thanks :)
 
btw @JohnRennie, does this pass through your town?
 
5:10 PM
That's my town, Chester, hidden behind the huge mass of stopping points :-)
 
@JohnRennie I'm trying to figure out what the distance is between the two passes
it looks remarkably considerable
 
What is this map? Something the University of Waterloo Maths department are organising?
 
> A shortest-possible walking tour through the pubs of the United Kingdom.
 
Ah. The travelling alcoholic problem :-)
 
Yeah. Apparently, if you want to drink 12 m$^3$ of beer, one pint per pub, and walk the least, you're forced into two distinct passes through Chester
 
5:28 PM
@SwapnilDas Yeah, I think so. You just have to be prepared to put in the work to understand it.
 
@DavidZ Does it take time to understand the material?
 
Unless you have an exceptional ability to do a lot of work in a short time... yes
 
@DavidZ I see, thanks for the advice.
 
@JohnRennie I thought that was, why are you traveling when you could be drinking?
 
@SwapnilDas good man
 
Jim
5:45 PM
doesn't that mean that chester has a higher linear density of pubs than the possible routes through the UK around it? Way to go John for living in the most alcoholic-friendly town around
 
user116211
Why would people drive after drinking?
 
Jim
gotta get your car home?
 
user116211
ohh.
 
Way to go? That's like saying it's good for living in Iraq because ISIS is so close.
 
user116211
ISIS is coming to end.
 
user116211
5:49 PM
We need Trump for that.
 
Sadly alcohol is not coming to an end.
 
user116211
We have states in India where alcohol in any edible form except drugs is banned.
 
user116211
But it's not a nationalised policy.
 
I heard that AP Frecnh's Problems are hard, is that true?
 
user116211
I have done few problems. Some of them are messy; but most of them are quite long. Hard? That's relative.
 
5:55 PM
Are they conceptually challenging? I want such problems.
 
user116211
I used the book only with the intention to grasp the concept. For problems, I prefer Verma.
 
Ohk. Thanks. Have you passed High School?
 
user116211
@SwapnilDas Hmm, some are good problems though.
 
user116211
yes.
 
Ohk. Thanks a ton! I think I'm going to buy it. I am just fed up with the shortcuts of DC Pandey, Oh god :(
 
user116211
5:57 PM
DC Pandey has very good collection of problems.
 
Yes, but the shortcuts?
 
user116211
@SwapnilDas The book isn't intended for explaining the concepts.
 
user116211
The books have few typos though.
 
I discovered that currently.
Does AP French have 'Tension' as a topic, if you remember?
 
user116211
@SwapnilDas yes. It's in equilibrium.
 
5:59 PM
Thank god. I'm finding it difficult with constraint problems. I don't want to do those DCP methods, tbh.
 
user116211
@SwapnilDas Well, you won't get too much details of constrained pulleys - the Atwood machine in French; but it has few but good problems on that.
 
user116211
@SwapnilDas Pandey uses a technique which i was never convinced with.
 
Total pulling force/ total mass? :P
 
user116211
yes.
 
It is so famous among JEEians here that you can't imagine.
How should Pulley problems be approached, according to you?
 
user116211
6:02 PM
It's not wrong; I could get with that; but the second method was terrible.
 
user116211
@SwapnilDas Check Verma; there is an innovative approach in the examples given and more reasonable than what has been used in Pandey.
 
So Verma is good for Concepts?
 
user116211
@SwapnilDas yes, a very good book for Mechanics.
 
And which is better, BTW, French or HCV?
I always want to use one book for concepts and others for problems, but can never get with them.
Any special advice?
 
user116211
@SwapnilDas French; because it's more rigorous and covers many more topics than Verma. However it would be unfair to compare them since the second one was written for high school students.
 
user116211
6:05 PM
And it was limited to the strict syllabus framed by CBSE.
 
It covers many more topics than Verma: In the sense of chaps or the same topics?
 
@MAFIA36790 expecting a high F on QM exam ;(
 
user116211
@SwapnilDas Both.
 
user116211
@0celo7 WTH :(
 
Like, say Tension. What more is there in French, but not covered in HCV? @MAFIA36790
 
6:06 PM
@MAFIA36790 One problem is completely wrong, another half wrong, one correct. That's a 50%.
 
user116211
@SwapnilDas Well, this is one topic for which I should prefer Verma.
 
Tension?
 
user116211
yes.
 
Do you have any other in mind? How's rotational in french?
 
user116211
The problems are diverse in Verma; this is completely lacking in French.
 
user116211
6:09 PM
@SwapnilDas that's one of the best topics in French.
 
user116211
That's why I didn't compare the two books. You should keep them side by side.
 
Thank god. It is a nightmare to me. Did you find it easy after going through french?
 
user116211
@0celo7 What? So, the questions were wrong?
 
observes the obsessive Indians
 
user116211
@SwapnilDas Well, kinda.
 
6:10 PM
@MAFIA36790 my answers.
 
user116211
@0celo7 I'm not obsessed.
 
user116211
@0celo7 :(
 
Neither am I.
If you refer physics, that's common to anyone of us :-)
Anyways. Thanks for your golden advices @MAFIA36790 I'll be ordering it very soon :)
 
You lot are obsessed with problem books.
 
@0celo7 Me?
 
user116211
6:12 PM
@SwapnilDas They are not golden advices. They are just my observations.
 
An experienced's observation are golden advices to a junior. I am still a tenth grader :)
 
user116211
@SwapnilDas Then I would say, start from French. Strengthen your concepts first; problems later.
 
user116211
It's good to start early.
 
Sure. I'll be doing HCV after each relevant chapter, is that fine?
 
user116211
@SwapnilDas good.
 
6:15 PM
Great. I've a question, is problem solving not given importance after high school?
If given, why did @0celo7 comment in such a way? :/
 
user116211
@SwapnilDas I'm a freshman; so I fear to what extent I can have a good reply on that. However, problem solving always will help you to re-visualise and assess the concepts you learnt.
 
Exactly. Thank you, bye and good night!
 
@SwapnilDas In the time you people spend obsessing over inconsequential mechanics problems you could have mastered QM or GR at the graduate level.
The JEE is a travesty.
 
@JohnRennie my problem was that we know the definition of speed.. which is distance covered / taken time ...... and average speed means total distance / total time taken .... so what's the difference ?
 
6:34 PM
@MAFIA36790 made some progress on the book.
Still a lot of work to do.
o/
 
user116211
noice!
 
user116211
What topic are you on now?
 
@MAFIA36790 I cleaned up the examples of vector spaces and the discussion about basis and dimension.
At this point, I need to do two things to finish the first chapter:
1) There's a physics problem that serves as a common line to motivate the math. I need to go through the parts that work on the example problem and simplify it. The language and discussion is too convoluted right now.
2) I need to finish a section that explains that many physics problems come to us as linear equations expressed in a particular basis.
 
user116211
Are you writing it in Definition-Lemma-Proof; Definition-Lemma-Proof.......problems style?
 
After that, the rest of the chapter is quite clear, I think.
@MAFIA36790 Not really.
 
user116211
6:37 PM
I guess not.
 
I'm trying to avoid that.
 
user116211
@DanielSank Yeh, that is what would make your book different as I said earlier also. The motivation of why it is required in physics. Good!
 
@DanielSank ugh
I'll read it anyway
but my protest shall be noted.
@MAFIA36790 I am getting a new book on Thursday (courtesy of obe), and I will reorganize the books when that happens.
Then I will take a picture for you.
 
user116211
@0celo7 \o/
 
It can't fit on the shelf, and I don't want a lone GSM book on the desk
So I have to move books around to maintain symmetry
 
user116211
6:41 PM
@0celo7 Which book? The analysis one you linked yesterday?
 
user218912
hey
 
what I'll likely do is put GR and analysis books on the desk and geometry, topology, and other physics books on the shelf.
 
user116211
okay.
 
@MAFIA36790 Yes. It's more advanced than Royden
Maybe the same level
But it focuses on PDE math
 
@dmckee I summon you
 
user116211
6:43 PM
ohh.
 
::Hits the floor with staff filled with old IC's::
 
@BernardMeurer But if you drew your pentagram incorrectly I will steal your sole and go have a fish fry all by myself. Bwaahahahahahahaha!
 
user116211
Royden takes 200 pages just to come to Banach space ;/
 
@dmckee It worked! Ha!
 
@dmckee wth?
 
6:45 PM
@dmckee lol
Have you ever messed with the M68000 line?
 
@BernardMeurer I love that chip.
 
@dmckee YAY, be my bestie
I want to get one to mess with
 
There are a bunch of motorola mcus based on the same architecture. That's probably the easiest way to get one these days.
I think the coldfire line is what you are looking for.
 
Motorola is still around?
 
user116211
@0celo7 It's dead.
 
6:48 PM
I was thinking of getting something like an MC68000L10 from the golden days, 10MHz of PURE POWER
But idk how to hook that thing up
 
user116211
Eaten by Google.
 
The NXP ColdFire is a microprocessor that derives from the Motorola 68000 family architecture, manufactured for embedded systems development by NXP Semiconductors. It was formerly manufactured by Freescale Semiconductor (formerly the semiconductor division of Motorola) which was bought by NXP in 2015. == Instruction set == The ColdFire instruction set is "assembly source" compatible (by means of translation software available from the vendor) and not entirely object code compatible with the 68000. When compared to classic 68k hardware, the instruction set differs mainly in that it no longer has...
 
The loss of the BCD instructions is sad if you wanted to implement a human readable bignum, but I only ever used them just to say I had.
 
But if I wanted to get the L10 line, could I still get it to work in a similar way that I would an Atmega 328P?
Or a PIC
 
6:51 PM
 
What the... it's a PCI interface?
 
@BernardMeurer I seem to recall that the L10 line was never popular and wasn't widely manufactured.
 
@dmckee I could Get one of the L08's too, but then it's 8MHz, the RC12(?) is also nice, 12MHz I think, or 12.5
How the heck do I connect that thing to a laptop lol
Oh, there's a USB
Sweet
 
God, we've transformed into a hardware store
 
6:54 PM
This is worse than math
 
it even has networking :O
 
user218912
@0celo7 are you good with feynman diagrams?
 
AND it's based on the 68000 architecture
EHRMAGED
@Danu I'll rek you with my 68000 :p
 
@obe ask @Danu
 
@dmckee I think I'll get that, get the hang of it, and then try and grab an original MC68000L12
 
user218912
6:57 PM
I just missed the lecture on feynman diagrams and am kind of fucked because he doesn't draw many in the lecture notes.
 
@dmckee Is this ASM only?
 
@Danu Now, really! That depends on what hardware we're talking about. If it was some ix86 compatible trash I would agree with you, but the m68k line is sublime.
 
user116211
@obe Don't they record the lectures? For future purposes?
 
user218912
@MAFIA36790 no
 
@BernardMeurer There should be several real compilers too.
 
user116211
6:59 PM
;/
 
@dmckee Oh come on, x86 is sweet :p
 
@dmckee Brrrr
 
@dmckee Can I... Can I run my kernel in it?!
@Danu he's right, M68000's are awesome
 
@BernardMeurer Yeah. It's a full blown computer with a reasonably spiffy 32 bit chip.
 
@dmckee THIS WILL BE FUN
::dances::
Now I just need 100 bucks
 
7:19 PM
@MarkMitchison Suppose I have a stochastic process with known spectral density $S(\omega)$.
Suppose I know the value of the process at time $t=0$. Now I want to know the probability distribution of the process at a later time $\tau$.
How do I do this?
In other words, I want the conditional probability of the process, given a known value at $t=0$.
 
7:38 PM
Actually, I only need the variance as a function of time.
 
7:49 PM
What's a spectral density?
 
user218912
@ACuriousMind are you there?
 
@0celo7 It's the mean power per frequency for a stochastic process.
 
@DanielSank What does that mean?
 
user218912
guys I need help on a problem I already failed, but I want to finish it regardless.
 
It means that if I take one realization of the process, Fourier transform it, and then keep only terms within some frequency region, the mean power I have left over is equal to $S(\omega) \Delta \omega$ where $\Delta \omega$ is the width of the frequency region I kept.
 
user218912
7:54 PM
$$\int d^3k \, \, a^{-1} \frac{e^{1/4 a^2 k^2}}{k^2 + \mu^2}$$
 
user218912
simplified for small and large $a$
 
@0celo7 You probably know the Planck density which gives the energy density of blackbody radiation as a function of frequency? Well, this is the same thing, except replacing "energy" by "power".
 
user218912
I got this far but idk how to proceed.
 
@Danu So, the time derivative of the energy density?
 
user218912
sorry there should be a negative in the exponential i think
 
user218912
7:59 PM
anyone? :(
 
@ACuriousMind : No. However time will delete the tag, if it is only applied once.
 

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