3:17 AM
While solving questions on calorimetry particularly on state conversion and temperature of equilibrium
On questions on temperature of equilibrium equilibrium for example ice at -20 degrees celsius and of particular weight is kept with water of particular temperature in particular weight and both are isolated
What my teacher does is to bring them both to common state such as water or ice
If there is excess of heat loss or heat in then she uses it to raise the temperature of the state
I am not sure how this can be possible
Is it due to the fact that the state and temperature changes are reversible
example question is 10 gram ice at -10 degree Celsius and 50 gram water at 40 degree Celsius are kept together find the temperature of equilibrium

1 hour later…
4:24 AM
24 hours ago, by FakeMod
Both the independent variables used while generating the phase space are supposed to be canonical conjugates. Is this statement correct? (I hope yes)

4:57 AM
If anyone is interested in statistical mechanics applied to protein folding:
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There was some recent media reporting about a purported Google breakthrough on applying machine learning techniques to tackle the protein folding problem, as told for example in this news article, DeepMind AI handles protein folding, which humbled previous software. Unfortunately there is not muc...

5:14 AM
This guy has potential
I wonder how he will tackle tensor mathematics

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6:59 AM

2 hours later…
8:35 AM
@Secret eugen khutoriyansky made a video on tensor and thier use in gr

2 hours later…
10:43 AM
hey everybody
i have a simple but quite interesting question
This is a system of 3 point charges
consider that we have a test charge on the y-axis
it's asked me to find the V(y) potential function, charge is moving on y-axis
we should be able to calculate potential due to each charge as $V_1(y)$, $V_2(y)$, $V_3(y)$ and their sum should give us the asked function $V(y)$
Am I correct?
We know that the potential due to middle +q charge is $V_2(y)=k\frac{q}{y}$
I tried to find the potential due to left hand side charge using $V_ba=-\int{\vec{E}\cdot d\vec{l}}$

11:20 AM
Thanks @JohnRennie

@Kenshin hi :-)

how's 2020 treating you

It's been an interesting year :-)

@Kaumudi how are you
@JohnRennie any idea what caused the Havana Syndrome?

12:06 PM
If you take the point P that is a distance y away from the middle charge then the potential due to the middle charge is +kq/r, and the potentials due to the other two charges are -kq/r.
Where r² = d² + y²
You just add up the three potentials so the total potential is:
$$V(y) = \frac{kq}{y} - \frac{2kq}{\sqrt{y^2 + d^2}}$$

12:41 PM
What kind of maths do you guys like?
Because I'm dead bored with group/rep theory and diff-geom right now, looking for something to explore

1:07 PM
Hahn-Banach theorem
Some functional analysis and measure theory maybe

3 hours later…
3:50 PM

that's extremely pleasing
3

:O
hold on, lemme go upvote a post ;)

4:42 PM

4:54 PM
@ACuriousMind is CP2077 actually coming out this time
Will it be horribly buggy

@bolbteppa functional analysis is a great idea, thanks

@RyanUnger yes to both :P
I think they absolutely won't delay it until after christmas if they have anything to release at all

probably yes
I'm already spending my willpower on not buying several early access titles, I have no willpower left to resist buying this one the moment it comes out

Lol yeah it’s gonna be “officially” released but we’ll be beta (alpha?) testing it

5:03 PM
I was going to get it for PC, but I'm going to wait a bit and get a PS5 now I think. I decided to sell my Switch and games last week and got $600 store credit at a local place, so I said screw it and went on the list for a PS5, so I'll probably be playing that in like a year. I’ll get it on PC but my GTX 1080 is struggling I want a 3080 but i probably need a new case PS5 won't get launched in India :-( I only have a 1060 and a i5 6500 too, so a modern game like that would run real bad on my PC probably, whereas presumably they will at least have good console ports. I should have bought a case on cyber Monday Is yours just too small right now? 5:12 PM Yeah I think it’s a mini ATX I have a very nice motherboard though so if I got a bigger case I'd still have the tiny mobo I think a 3080 would just be too long for my current case RTX 3080? That's a beast! Makes sense. A small motherboard with a huge brick jutting out would be pretty funny. yeah The nice thing is big cases still have mountings for the small factor motherboards too, so at least it would be basically as straightforward as buying a case and the GPU and moving everything over, instead of having to like mess with a heatsink and everything. yeah I think it would be fine also my current case doesn't have great cooling 5:20 PM My case has glass panels in front of all the fans, and just strips on the side let air through. I thought it was going to make my CPU a lot warmer than my old case, but it didn't make a difference. It might just be because there's a ton of fans to force airflow anyways. Is there a locally ringed space approach to semi-riemannian manifolds? @RyanUnger eh, I kinda hope CDProjekt don't let us down that terribly, but we'll see @geocalc33 probably not, see mathoverflow.net/q/56833/157071 and its linked question @Charlie I know the answer to your Cauchy integral formula question, but I'm on mobile so it'll take me a little while to write out why would you want to turn riemannian geometry into algebra @ACuriousMind why do you say probably not? 5:35 PM @geocalc33 because if you look at the question I linked, it has no answer, and in the linked question there's a characterization in terms of sheaves of vector spaces, not rings oh okay gotcha it's hard to see how one would encode the metric purely in terms of the rings of continuous/smooth/whatever functions 5:47 PM @RyanUnger masochism :P @NiharKarve why do we have$z+E_p$on the denominator of$g(z)$? @RyanUnger Someone might want to gain new insights into both geometry and algebra by porting information between the two disciplines ohhh wait no maybe I do see @Charlie I mean, you can take it to be whatever you want as long as g(E_p) is the advanced bit ok I see the trick they've used, thanks for your answer 6:00 PM No problem :) 6:13 PM I actually have a related follow-up question, why do we even close the contours in the first place when evaluating the$p^0$integral? Is it because when we take the radius of the "closing loop" to$R\rightarrow \infty$it's contribution vanishes and we're just left with the integral along$\Bbb R$? or rather, the integral along$\Bbb R$that avoids the poles In general, yes, which is why contour integration is so powerful wait that's a general result? Take a look at the example on the residue theorem wikipedia page You close the contour up or down depending on whether its exp(-i...) or exp(i...), so that the contribution along the curve vanishes oh I see, ok ty 7:11 PM Does anyone know an example of a reference frame for the complex momenta of two identical massive (on-shell) particles and one massless particle? Taking momentum conservation into account it seems an easy question, but I am able to find a solution Hi All. 7:51 PM I might have gone overboard with this one: 4 I know an electron can have two spin states, "spin up" and "spin down", but recently I was asked how many spin states do$\ce{Cu^+}$and$\ce{Cu^{2+}}\$ have, and why? Does anyone know the answer? Thanks.

Unfortunately for me, I don't know any undergrad-level science. The only science I know is at the research level, and the NIST database shows hundreds of experimentally observed states. If one of you know what the undergrad textbooks say about what spin states are allowed, please add the answer for this poor soul who thought they would just get an answer to their homework question.

4 hours later…
11:59 PM
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There's a proposal at the moment for creating an SE site for computational fluid dynamics, and if you would like SE to add a site for this topic, I suggest you follow the proposal, ask some example questions and upvote five questions because the biggest barrier for getting past the first stage in...