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00:00 - 20:0020:00 - 00:00

12:00 AM
=) yeah, no problem
 
user218912
@0celo7 the last question worth the most marks was to prove that if $A$ is a symmetric $n\times n$ matrix, $A + I$ is also symmetric. lol
 
Well, it's a good thing you're in middle school now preparing in advance; your life will be easier in the future.
In terms of classes I guess :/
 
@heather Do you have an idea of a date?
 
12:15 AM
@DanielSank, not quite yet, but I'll let you know as soon as my parents figure it out. =)
 
@heather k
 
@DanielSank, again, thank you so, so, so much!
 
12:41 AM
@heather Don't thank me until it happens!
Anyway, you can find my email through my PSE profile page.
 
1:01 AM
Hi, why is no. 42 special?
@0celo7 ^^?
 
1:15 AM
@Ramanujan, because it is the answer to life, the universe, and everything (A Hitch hiker's guide to the galaxy). It also has several other significant attributes: it is the atomic number of molybdenum, there is a Messier object M42 that is also known as the Orion Nebula, there is a red dwarf named Kepler 42, related to the three smallest known exoplanets, the second sphenic number is 42, and I could go on.

In fact, if you want some more of this, look [here](https://en.wikipedia.org/wiki/42_(number))
 
 
2 hours later…
3:01 AM
Is the entropy increasing when a mixture of water and oil separates themselves to water and oil?
 
rob
3:42 AM
@DHMO If it happens spontaneously, then the entropy increases.
 
@rob but why?
Like, are they not more ordered after the separation?
 
rob
@DHMO If entropy doesn't increase, it doesn't happen spontaneously.
 
@rob I thought spontaneity is determined by both enthalpy and entropy (Gibb's Free Energy)
 
rob
Note that the separation is never complete: if you were to mix water and, say, kerosene, you wouldn't want to drink the water even after "all" the kerosene had floated to the top.
 
@rob but it is still more ordered than before?
 
rob
3:45 AM
@DHMO Minimal difference between entropy and enthalpy in this case, since the volume change is small. Enthalpy matters more for phase transitions where the density of the two phases is different, like water and ice.
or water and steam.
I haven't thought about oil and water from an entropy standpoint before.
Here's a discussion including enthalpy of mixing which I don't immediately follow.
 
@rob well, to mix oil and water together, you would need to break the bonds already present between water and between oil
but, water and oil do not form stronger bonds
 
rob
Seems like for water and oil, the interface between the fluids has less entropy per unit volume than the bulk of each fluid
perhaps because there are fewer ways to orient the water molecules or the lipid chains? not sure here.
So for an oil-water mixture, the low-entropy configuration is the one with more homogeneous bulk and less fluid-fluid surface.
That makes the fluids separate into globules; relative densities determine whether one species floats to the top.
 
4:02 AM
@rob another (half-relevant) question: when the enthalpy outweighs the entropy in Gibb's Free energy, and the reaction occurs spontaneously, is the entropy decreasing?
 
0
Q: expectation of position in fock space

R. BhattacharyaWhat will be the vacuum expectation value of $x^2$ in fock space? If I write $\hat{x}=\sqrt{\hbar/2 m \omega}(\hat{a}+\hat{a}^{\dagger})$ i.e. in terms of harmonic oscillator and then use the relation $\omega=\sqrt{k/m} then $\hat{x}^2= \frac{\hbar c}{2}$. Is the answer correct? this is mass less...

 
rob
@DHMO I suppose that's the mechanism by which one creates low-entropy regions.
My thermodynamics is rustier than I'd like.
 
@rob so entropy just decreased?? I thought the second law of thermodynamics is a law
 
rob
Global entropy always increases, but you can have local decreases.
For instance, I can take a deck of shuffled cards, collect the four suits, and order each suit ace, two, three, etc.
Eventually I end up with a low-entropy deck of cards
The second law says that I must have increased the entropy of the rest my environment, by respiring and so on, by more than the entropy I removed from the deck of cards.
But not that the cards can't be un-shuffled.
 
4:19 AM
@rob where is the global increase in this case?
 
rob
What, when I unshuffle cards? It's in my respiration, converting long-chain hydrocarbons to short-chain hydrocarbons and those sugars to carbon dioxide and water.
 
@rob I mean, when the enthalpy outweighs entropy and the reaction is spontaneous
 
rob
Change in enthalpy ΔH includes a pressure-volume work term on the surroundings ΔV; look in the environment.
 
@rob the reaction must be exothermic right?
I'm not too familiar with these
 
rob
Not 100% sure. Your question is threading a narrow route through the thermodynamics parameter space.
 
4:29 AM
@rob ?
 
rob
By which I mean, I'm confused.
 
Alright
 
user228700
4:46 AM
@JohnRennie: Morning sir :-)
 
Morning :-)
 
user228700
I'm in dire need of help! :-( :-O
 
@rob @JohnRennie Are you familiar with radioactivity?
 
rob
@DHMO Quite
Morning @JohnRennie
(Evening here)
 
The counts per minute of a sample is as below:
time/min, counts per min
0, 405
10, 270
20, 202
30, 166
(background radiation is already accounted for)
the problem is, the rate is increasing:
270/405 = 0.667
202/270 = 0.748
166/202 = 0.822
why? @rob
 
4:50 AM
@Kaumudi that sounds ominous! How can I help?
 
user228700
@JohnRennie CSE chat..?
 
rob
@DHMO So 405 counts in first minute, 270 counts in eleventh minute, 202 counts in 21st minute, etc?
 
@rob yes
 
rob
Real data or invented for a problem?
 
no idea
 
rob
4:51 AM
Your data, or from another source?
 
From another source
 
rob
which is?
 
A textbook
 
rob
Okay
 
Might it be because of chain decay?
 
rob
4:53 AM
Might be statistical fluctuations.
 
I can't imagine that much fluctuation..
 
rob
Counting uncertainty goes like sqrt(counts), from Poisson statistics
 
@rob could you apply that to see if this fits?
 
rob
You should read 400 ± 20, 270 ± 16, 200 ± 14, 166 ± 13
 
@rob is there any chance of fitting the exponential decay model?
 
rob
4:56 AM
So those are only 5% relative uncertainties, smaller than your change in ratios. Not that.
 
@rob chain decay? any chance?
 
rob
A chain decay or a mixture of sources with two time constants is a possibility, but not one that you can identify robustly with four measurements.
 
@rob what do you mean by "two time constants"?
 
rob
From a real source, I'd guess you have un-subtracted background, but you say your problem discounts that.
 
@rob if you subtract anything, the ratio discrepancies become larger
 
rob
5:00 AM
I'm apparently not doing this correctly in my head. I have to use paper.
@DHMO No, I think you've got it backwards here.
 
@rob ?
 
rob
If I subtract 150 counts from each reading (thus 255, 120, 52, 16) then ratios get smaller with time.
 
@rob :o
 
rob
Do a bisection search ... with background 120-125 counts/min each ratio is about 0.53
What I meant by "two time constants": in real life sometimes you find mixed sources.
 
@rob thanks
@rob I see
 
rob
5:10 AM
For instance, neutrons on copper produces both Cu-64 and Cu-66; one is five minutes, one is twelve hours
@DHMO Which raises the question: what did you textbook mean, about background subtraction? It sounds like it needed to be done.
 
@rob not clear
 
rob
5:33 AM
Well, sweet dreams, all
 
user116211
 
6:43 AM
In case this helps in getting a swift response, advertising my question here in chat (classic cheap strategy)
0
Q: Origin of Selection Rules for Rotational Raman spectra

The Dark SideI am aware of the fact that selection rules for transitions between two different quantum states, are obtained via an assessment of the corresponding transition matrix elements [1,2]. When we consider the spectrum of a pure rotational spectrum, with different states identified by the rotational...

 
 
4 hours later…
user228700
10:29 AM
@Ramanujan: U there?
 
11:48 AM
So empty...
school seems to make me miss all the busy times.
 
12:05 PM
@Kaumudi
 
@heather school on a saturday? :O
 
@Sanya, no, thank goodness. I was talking about during the week =)
Guess that was a little unclear
 
well during the week ... depends a bit on whom you want to meet I'd guess; I'm not sure anymore in which direction the time difference goes ... usually, during my European evenings here it's most crowded I'd guess
 
user228700
12:22 PM
@Ramanujan U still here?
 
user228700
Damn.
 
user228700
12:48 PM
..?
 
@Kaumudi you were asking some thing?
 
user228700
@Ramanujan Yeah. Thought we could try a problem? I'm not getting the correct answer :/
 
I will try @Kaumudi
 
user228700
@Ramanujan Alright. MSE chat?
 
Ok
 
 
1 hour later…
1:56 PM
2
Q: Skipping-rope in space

Naveen BalajiOn a space station a person wants to play skipping-rope. Although they cannot jump, they turn the rope at a constant angular velocity. What would the shape of the skipping rope be, and could we set up an equation by taking a generalised case?

 
Howdy
Oh wait, was @Qmechanic a mod before?
If not, then congrats
 
user116211
@SirCumference ._.
 
user116211
You were always late.
 
user116211
But this is too much :(
 
@MAFIA36790 Yeah, nvm, I'm losing my mind...
Somehow I never realized it...
Drop the @Bass
 
user116211
2:09 PM
@Qmechanic Sure it is.
 
@MAFIA36790 Isn't there gravity involved in the other question as opposed to this one?
anyway, I'm a bit annoyed at the question for being like "please solve my problem for me", but that's another issue
 
user116211
It is implied here, isn't it?
 
user116211
@Sanya The user has asked many questions of this species.
 
user116211
Ironically, he does claim he knows the homework policy.
 
user116211
@loong o/
 
2:15 PM
well, people answer those kind of questions [I'm not innocent of that either to be honest], so why should anyone stop asking them? Even if they're closed, the answer is usually already there ...
 
@MAFIA36790 hi
 
@MAFIA36790 is it? well, then I guess it's a duplicate
 
user116211
@Sanya I mean here he writes space station. But he can get the motivation from other one Qmech linked which is dealing with the same although not exactly the same problem of the rope shape.
 
user116211
I got the old Wolf Born Optics book!
 
@SirCumference : Take a guess.
 
2:22 PM
@Qmechanic Uh...belated congratulations?
 
user116211
@SirC: You need to get access of Speed Force.
 
@Sanya Yep.
 
user116211
The whole book is in Gaussian.
 
user116211
I like that ;)
 
@MAFIA36790 Gaussian dimensions for E&M?
 
user116211
2:25 PM
@DanielSank yes.
 
@ACuriousMind F4 is still better...
I don't understand all the love for this game
It's good
But nowhere near what I was promised
Yes, I'm doing all the dialogue, etc
 
user116211
I lost interest after so many versions of Assassins Creed.
 
user116211
Sadly, they are still in the run.
 
@DanielSank we need a question-preview-system ^_^ anyone with more than 50% closed/on-hold in the last x question gets their new questions published only after review: another review queue :)
 
user116211
@Sanya How about those who post their first crap query?
 
2:31 PM
@MAFIA36790 you mean first-time-posters? yeah, let's add 'em too
and any question needs at least 3 approvals to be publicly visible :o
 
user116211
OTHERWISE THEY WILL BE EXECUTED.
 
at least
 
user116211
._.
 
@ACuriousMind yo where are you I want to discuss FNV
 
user116211
@0celo7 Dude ACM is a speedster; he has whole world to save.
 
2:37 PM
lol
 
3:01 PM
@Sanya Interesting. Post on the main meta.
 
@DanielSank honestly, I was joking - I think it would slow down the whole process too much and it would be a very big chunk of additional review work that will need to be done
 
3:20 PM
@ACuriousMind Ok I'll work for the legion
 
3:31 PM
Currently reading some quantum carnot cycle thingy
expect to finsih soon so I can get back to algebra
 
4:30 PM
[Thermodynamics question storage] What happens if one compress the gas isothermally without taking out the heat after the adiabatic and isothermal expansion in a carnot cycle setting. Where in the PV diagram will we end up?
 
5:02 PM
Todo: Check why $$S=-k_B\sum_i p_i \ln(p_i)$$ instead of $$S=-k_B\sum_{i,j} p_j \ln(p_i)$$
 
why would it be the second?
 
user116211
@Secret So can $j=i\,?$
 
user116211
check it for a small set of numbers.
 
(I have not re-revise my stat mech derivations yet) I see no reason why the probability of visiting the ith microstate must be dependent only on how many ith microstates are there (hence the probability of being in the ith microstate) if the system of microstates are not visited with equal probability
 
0
Q: If operator commutes with Hamiltonian, why is the variance of the system equal to zero

user133174Say we have an operator ^A and observable a, if ^A commutes with Hamiltonian operator, what is the meaning behind this, or why is the variance of the system equal to 0.

I can't flag that as anything useful - even though I feel that it's basically "do my research"
any ideas on what to flag it as?
 
user116211
5:07 PM
@Sanya Sounds like do my work?
 
^^
 
That is, why we cannot have the probability of visiting the ith microstate depending on both the probability of visiting it due to how many of ith microstates avaiable (the degeneracy), and the probability of visiting due to the fact that the microstates are not visited with equal probability (due to nonergodicity), if that makes sense...
 
I would appreciate it if someone could explain-to-OP/mediate/step-in/vote-to-reopen/vote-to-close here.
 
@0celo7 I'll not dictate your choices
 
I think you should
but regarding difference quotients
I have $$||df(z)[u]||\le\frac{||f(x)-f(z)||}{||z-x||}+\sup_{y\in \overline{zx}}||df(y)-df(z)||$$
Not very nice so far
and the inequality is the wrong way around for what I need
what is life
 
5:16 PM
@Qmechanic Bit hard other than to migrate it to worldbuilding, cause exotic matter is too speculative, so is warp drives. The OP is also seemed to be an amateur thus he/she is not going to be able to provide equations. If I understood correctly, OP seemed to be asking whether we can harness negative energy density from the casmir effect to power warp drives, and whether one can deposite such exotic matter along the way so that it is easier for other ships to go in warp
The issue is, casmir effect is too weak to do that
(other than that, I knew nearly nothing in detail to provide a good comment)
 
5:44 PM
@Secret : Well, OP is new, so he might need some helping comments on how things work around here.
 
user116211
He can then check the policy on how the site works. The closed reason along with the link is sufficient, IMO.
 
5:59 PM
@ACuriousMind Are you around? I have a possibly stupid question about inequalities
@ACuriousMind $(V,||\cdot||)$ a normed vector space
suppose $a=b+\gamma$, all in $V$
If I have an estimate on $||a-b||$, this gives an estimate on $||\gamma||$
not sure what my question is
hmm
 
@0celo7 Not around for the evening, having my "just moved in" party
 
@ACuriousMind have fun
 
6:43 PM
ok, so as the number of particles in one partition increases, the log become more an more insensitive to that increase and thus tends towards nlog n
so at large $n_j$, the number of multiplicate counts that need to be deducted from $N!$ become closer to the number of particles that can be put into the $\omega_j$ cell, thus the two $p_j$ has to be the same in the expression $S=-\sum_j p_j \log p_j$
and since macrostate is dictated by the distributions of microstates being occupied, and not the identity of the microstates, there's only one distribution for each macrostate
To be checked: Does Gibbs entropy holds for non ergodic systems...?
(Man, I am seriously running out of time trying to analyse all these things...)
 
7:01 PM
Yeah. Because the ergodic hypothesis is the basis for the assumption of equal likelihood for each microstate (or equivalently equal time spent in each microstate). Now if only there was a well understood way to determine the ergodicity of an arbitrary system...
 
@dmckee, is there some easier (more physics sounding) way to understand how the $p_j$ before the log p_j pops up. While I understood what happened in the stirling approximation, and all the maths that leads to it, I still cannot really convince myself why the two $p_j$ has to be equal for a given j? on physical grounds
 
I'll have to look at the slide to see where you are.
 
Yes. I had brought them up, but only flipped through them.
Now I have to read a bit.
 
ok (Meanwhile I'll continu to work on some algebra stuff in the bg.)
 
7:09 PM
Hello fellow homo sapiens. Unless, you know, you are from the Andromeda galaxy or something and somehow connected to the Internet. Which reminds me of a funny Calvin and Hobbes comic...let me see if I can find it.
 
@heather you have a good taste in comics :)
and good evening to you too
 
@Sanya, Calvin and Hobbes is the best!
^Makes sense to me
 
oh yeah, that's a really nice one
 
Yup
 
Calvin and Hobbes was the first thing I read in English :D :D
 
7:11 PM
@Secret That is—in effect—the ergodic hypothesis.
And as far as I know it is not proven even for particular classes of systems.
 
@Sanya, definitely the best! :D Oh, here's another good one:
 
But the statistical mechanics built on it works form many, many system.
And this is science: mathematical proofs are a useful adjunct but always take a back seat to on-the-ground reality.
 
@heather you know the one with the "x leaves with his car at this hour, y at this hour, they are driving ... when do they meet?" and he writes "given the traffic around here, who knows?" :D
 
@Sanya, no, I haven't seen that one! That's fabulous!
 
I don't remember in which book it was ...
 
7:16 PM
@Sanya just found it:
 
I took computational physics from a William Gibbs who is related to the Gibbs, and the picture in the slides reminds me a lot of my professor Gibbs, except he had more laugh lines.
 
@heather that's the one :)
 
@Sanya, so fabulous...I have books upon books of Calvin and Hobbes. My bookshelf is like nonfiction, nonfiction...comics! =)
And a little fiction too. But mostly nonfiction.
 
@heather I've always been a fiction reader ... I always hate myself for that when I move flats
 
7:19 PM
Why?
Large quantities of books?
 
did you ever carry book cases? They quickly get really heavy :D yeah, large quantities
once I spent 2.5 months in London. At the end, I shipped back 15kg of books by parcel because I couldn't take them onto the plane :D
 
=p
we moved last year to an apartment and I had to lug all my books up three flights of stairs.
That was fun
 
I see you get the point :D
 
For a bit until we unpacked them, the living room was literally a maze of book boxes because of me and my parents both having tons
It was kind of funny
 
sounds like a good family to me :)
 
7:23 PM
Yeah!
Then a couple of months after we moved I sorted all the books
And then I moved my chair in the living room so it's right in front of the science bookshelf =p
 
who here has Fallout New Vegas experience?
 
Right behind me right now is "Handbook of Physics" by Condon and Odishaw and the Feynman lectures, for instance
 
that's a decent start :D reminds me that I've always planned to read Feynman at some point
 
Maybe I should read Euclid one of these days
 
IN ANCIENT GREEK
 
7:28 PM
@dmckee Hmm, I see. I will just handle it as an experimental result then
 
@Sanya, oh, geesh. I only know English. Well, I'm taking Spanish I this year, but that doesn't count because there's no way I can carry on a full conversation (unless you want to have a very short conversation about the weather).
 
I don't know if I should join the legion or not
ahhhh
I like their whole operation
but I feel like the people hate them
 
@0celo7, the legion? Isn't that an ancient Rome/war video game thing?
 
@heather no
@JohnRennie Legion or NCR?
 
@0celo7, uh...what is it then?
 
7:30 PM
@heather in the future, clearly
 
@0celo7, now I am thoroughly confused, which actually isn't that abnormal for my conversations with you.
 
hmm
that's a shame :(
 
@heather well, speaking English, I guess you don't really need to learn languages that much :D
 
@Sanya No one needs to learn ancient Greek
 
@0celo7 what do you mean by legion? (And that comment was mainly joking)
 
7:32 PM
@heather the legion is a fascistic faction in Fallout New Vegas
 
@0celo7, no clue what that is, but alright. Wait, why in the universe would you want to join a fascistic faction?!
 
[Abstract algebra] "Rock Paper Scissors" nonassociative algebra
 
@heather good question!
They have a charismatic leader
 
@0celo7 someone should so that you can read your euclid in translation
 
Hitler was charismatic
 
7:34 PM
@heather exactly
 
@heather O_O u think
 
And 6 million plus people died
 
@heather WW2 cost like 50 million lives all around.
 
Well, yeah, I was talking about the Holocaust
 
Our computational physics homework has us downloading the raw LIGO data from the first detection and filtering it to re-discover the black hole merger
 
7:35 PM
@GPhys are you deriving any of the equations for that?
 
which is way more interesting than I expected after a lecture on discrete fourier transforms
 
0
Q: Why are seven moderators needed?

Physiks loverIn the beginning, PSE was able to cope with three moderators, so why the need to increase the number of moderators to seven?

 
@GPhys Cute. How messy is the raw data?
 
@GPhys, wow, that sounds really cool
 
@dmckee Looks completely random unfiltered
 
7:36 PM
I hope you've been given a framework for what kind of filtering to perform. Lots of choices.
 
@dmckee how did the LIGO people figure out which filter to use?
 
@dmckee Yeah, we were given the frequency band where LIGO is sensitive and told we need to filter out the spectral lines as well (and given the generic formula for those types of filters)
 
@0celo7 Not a clue. Never looked into it. It is probably covered in detail in their proposal or technical design report.
 
maybe I should reorganize my books again
 
@GPhys So it's a straight ahead code and apply exercise. Those can still burn up time but at least you know you're in the right forest even if barking up the wrong tree.
 
7:39 PM
@dmckee According to our homework just that is at enough to recover the signal and match it between the two detectors, but is not of the same sophistication as the actual analysis (of course)
 
@heather u know what
I'll betray the legion
 
@GPhys Well, sure. There's a minor horde of grad students eager to distinguish themselves by improving the actual analysis code.
 
YOLO
 
And the competition is nearly as cutthroat as the word "horde" implies.
 
@0celo7, please tell me this is a video game =p
 
7:40 PM
@heather yes
althought I should be doing analysis homework :P
 
@0celo7, okay, I was wondering
 
The main purpose of the homework is programming your own discrete Fourier transform and understanding it through application to a data set; the application they chose was refreshingly relevant, though
 
All my computational instructors liked to make the application part of assignments hook into real-world work. It wasn't always that topical, but it was usual less than 10 years old.
 
The Rock paper scissors nonassociative algebra is accidentally (re? not sure?)-discovered when trying to build division by zero algebras. It does not have any zero elements. The addition structure will remind you of titular rock paper scissors games. The algebra can easily be appended onto other algebraic systems by unravelling any one or more of those elements that are neutral wrt a certain element
 
Moore's law does wonders for being able to roughly replicate problem that used to be fantastically expensive on a basic PC.
We wrote a Hartree-Fock nuclear shell model code (albeit with simplified potentials) and applied it to a $^8\mathrm{O}$ nucleus in 1993 in Bill Gibb's class.
And a neutron transport MC roughly good enough to replicate the Manhattan project transport problems.
 
7:46 PM
Wow, nice
 
The history of the Manhattan project simulation is fascinating.
 
Our last computational homework was computational QM through expanding the hamiltonian in the finite square well basis
for various potentials
which was a nightmare if you programmed your integrator or linear algebra code inefficiently, apparently
 
what potentials was included?
 
It was performed in a hanger, by lots of young woemn sitting and mechanics trolleys and pushing little carts around. Roll the dice, consult table, turn cart. Roll dice, consult table push forward so far. Roll the dice, consult table and either remove cart recording result or spawn new carts (shout out and they are added to the board for the next free worker to do) or continue unchanged. Repeat.
 
@Secret harmonic oscillator, finite square well, Coulomb barrier tunneling, pretty basic
and we had to program time evolution operator from it
 
7:50 PM
I see, are the states stationary (thsu only the phase differs)? or you need to solve the full SE
 
@Secret you just apply the time evolution operator, since you can get it from the hamiltonian
@dmckee Indeed
 
Queued task multi-processing by human.
 
I see
 
@dmckee Are you talking about diffusion calculations in the Manhattan Project?
 
@DanielSank Yeah.
 
7:54 PM
Cool.
I recently read the better part of Rhodes's book. He didn't get into that part much, which was a little disappointing.
Great book though.
 
The history of using underpaid young women to do the heavy computational lifting for science goes back to at least the turn of the twentieth century. They were preferred because there were educated, detail-oriented, worker available who wouldn't complain about low wages, repetitive work and being cut out of the glory.
 
Yeah.
 
The period luminosity relationship for Cepheid variable stars was discovered by one Henrietta Swan Leavitt a computer at the Harvard Observatory and the (sole!) credit taken by Edward C. Pickering. Nice guy.
 
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