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00:04
@0celouvsky Yes. That literally means $\omega$ integrates to zero along any closed path, so it's path-independent.
Write $f(x) = \int_{a}^x \omega$ where $a$ is some fixed point other than origin. This is integrating along a path from $a$ to $x$, note, but that's of course independent of the chosen path.
You can check $\omega = df$.
00:41
@BalarkaSen what? It's only zero along that one specific closed path
@0celouvsky Any path is homotopic to a multiple of that.
There's an argument needed to get it to work for others
Smoothly?
And integral is homotopy-preserving.
Assume I don't know that
Of course I do know that, it wasn't the point of the question
@0celouvsky What does that even mean? de Rham cohomology means you are working with smooth paths. In any case, any path - not just smooth ones - is homotopic to n[S^1] in $\pi_1(\Bbb{R}^2 - 0)$.
00:43
Of course, but it's not clear to me how to make the homotopy smooth
Algebraic topology gives you a continuous homotopy
No, this is trivial. You do the whole covering proof all over again but when you glue stuff above you use bump functions. I am not going to write this down but this is true.
And I'm agreeing with you, but I don't want to do any of that
I figured it out, you can straight line homotopy to rectangles
From there you can compute the function f and show it has the desired properties
whatever man
the proof is trivial, and that's the point
00:59
@BalarkaSen it's not trivial for a class that doesn't use algebraic topology
Apparently the whole backward travel when you go faster than $c$ has a specific name
The Tolman paradox
Because of its very first appearance in Tolman's SR book
what's up with that anyway
is it even true
Well it's easy enough to see
@Slereah is Tolman the guy with the star solution?
@Slereah how?
Take a spacelike curve slightly avoce the $x$ axis
Do a Lorentz transform
For a big enough Lorentz boost, the spacelike curve goes under the $x$ axis
going "backward in time", with the notion of time of special relativity
01:12
hmm
@0celouvsky Path lifting lemma is not truly algebraic topology.
01:26
I guess the whole notion of closed causal chain is a pretty good description of what I mostly cover in the book
Except for shit like Norton's dome
Since I don't cover all causal breakdowns like QM
01:51
Any people good at basic cosmology here?
@SirCumference I can spot the southern cross, is that good enough?
@BernardoMeurer 'fraid not
@Slereah Oh wait, could you help?
You said basic
Too basic
I can get more acid if you want
01:56
@BernardoMeurer Oye, chemistry puns
Reminds me of high school, when every class was just a ton of puns
"What does the chemist say to the atom he's observing? I got my ion you."
I remember high school as that period where I couldn't be arrested
I also didn't really do anything useful, which was absolutely great
@BernardoMeurer okay.
I had some fond memories of high school.
Did you get amnesia?
Oh god, I'm 18.
@BernardoMeurer *fond :P
We're all babies, I don't get why you're portraying High School as some 19th century expedition to Fiji
02:00
@BernardoMeurer I dunno, back then things were way simpler
My life is pretty simple
Simply shit
Um. Sorry?
Anonymous
@BernardoMeurer A baby who drinks beer? ;)
@blue You're a baby until you're ~25
Anonymous
@BernardoMeurer I know a 70 year old baby from the US...
02:03
@BernardoMeurer That's an oddly specific age
@SirCumference Thanks, I just came up with it
@blue No more politics...
Anonymous
@SirCumference What?
Anonymous
02:04
When did I mention politics? =P
Anonymous
I didn't even name anyone
Anonymous
lol
You don't need to name someone for you to know it's politically related :P
Anonymous
See, your head is full of politics =P
Anonymous
02:05
lol
@SirCumference Stop with the politics ganger-schlamper
Let the man express himself
Anonymous
@BernardoMeurer That's a nice new word there :D
Anonymous
ganger-schlamper...hehe
@blue "Thanks, I just came up with it"
I also just came up with it
I bet someone here googled to see what it meant lol
02:07
Too lazy. ELI5?
I wonder what happened to Chris White...
PLEASE COME BACK CHRIS WHITE
3
Oh god this again
I still need you to teach me how to use Valgrind to find memory leaks
WHY DID YOU LEAVE ME
I LOVED YOU
@BernardoMeurer btw what are ya majoring in?
Hey, that GR paper is by a lady
That's unusual
Lisa Dyson
I wonder if she's related to Freeman Dyson
02:18
@SirCumference Computer engineering, assuming I manage to graduate
Anonymous
@BernardoMeurer Are you focused on software or hardware engineering?
@blue I'm not sure yet, maybe hardware
I change my mind a lot on that
Anonymous
@BernardoMeurer That's great. Very few people I know are interested in hardware!
Anonymous
Most are into coding stuff
I like coding a lot, but I just love the black magic involved in hardware design
02:23
!
@BernardoMeurer That's neat
Anonymous
@BernardoMeurer Nice :-)
@BernardoMeurer What languages ya like?
@SirCumference C, C++, Python, Rust, VHDL, eh
Anonymous
I know only basic java :-P
02:24
I think that's it
Mostly C and C++
I've used JS, HTML and CSS for about 4 years
Those are all I know well
HTML and CSS are markup languages
Yes yes, I know
I asked "what languages ya like"
Ah
Portuguese
Mostly
02:24
@BernardoMeurer Well played
I'm voting to close this question as off-topic because the same question was asked and answered on MathOverflow. — ZeroTheHero 11 hours ago
We close questions for cross-site duplicates?
@Yashas Nah
Unless it's asked by the same person
Anonymous
@SirCumference Actually don't think the number of software languages you know matters much as long as your basic coding concepts are great. It is better to master one language than to go about learning 10 coding languages.
Anonymous
Once one language is learnt the concept can be easily converted to other languages..
@blue Well if you know how to program in one language, learning another is waaay easier
Anonymous
02:28
@SirCumference Yeah, that's my point
Yeah, posted too late.
@SirCumference I think that depends on the language the person knows
@Yashas I'm speaking generally :)
Most programming languages are very similar
@Yashas Oh, btw, are you in college?
not yet
C is probably the best one to start with. JS has plenty of quirks.
02:30
should've been but I am crazy
Anonymous
You are crazy ^ :-P
@JaimeGallego I heard C is really tough for beginners
It isn't
Anonymous
Who leaves IISC and then again reappears for JEE ?
02:31
@Yashas As @SirCumference said, if it's not asked by the same person, definitely not. If it is asked by the same person, then it's probably best to comment to point it out and also maybe notify a mod.
Also, what kind of "quirks"? :P
@Yashas If they're not asked by the same person, you should add a comment that it's already answered on another site, and link it.
But it's not necessary to close it
@SirCumference Mostly those regarding variable types. In C, one has to define a type explicitly (int...). JS is much more lax.
@JaimeGallego Oh yeah. In JS we have "var" and "let"
The difference is subtle
Because it relies so much on interpretation, sometimes mysterious behavior can result
Often exploitable
JSFuck is an esoteric programming style of JavaScript, developed by Martin Kleppe, where code is written using a very limited set of characters: (,), [, ], +, !. The name is derived from brainfuck, an esoteric programming language which also uses a minimalistic alphabet of only punctuation. Unlike brainfuck, JSFuck is valid JavaScript code, meaning JSFuck programs can be run in any web browser or engine that interprets JavaScript. The challenge in JSFuck lies in recreating the full set of JavaScript functions using only these six characters, which is made possible by two properties of JavaScript...
So I've heard
Never actually dealt with it tho
The main problems I have with JS variables is that you can't "freeze" a value
If you set "var woof = dog", and "dog" changes, "woof" will change
Some ability to keep them frozen would be incredibly helpful
02:36
Is it so? That's incredibly unintuitive for programmers
Haven't touched JS in a while
@JaimeGallego It's pretty terrible. But that's the worst limitation I've come across
I've been lucky to not have to deal with problems caused by var's vagueness
Anonymous
@SirCumference There must be some detour. Have you checked it out with somebody? Stack Overflow?
Anonymous
That is a weird limitation for any modern language
@blue I remember spending hours trying to figure it out, and reading on SO that it's impossible
Anonymous
WEIRD!
02:41
I'm trying to find that answer
@SirCumference As long as you are comfortable with memory management (which isn't that hard), C is easy to use. C++, on the other hand...
Variable assignment in JS happens by pointer collision?
Huh, maybe I'm crazy
I can't find it
If that's the case that's absolutely shit
@JaimeGallego Hm? I think you got things mixed there, C++ is much easier than C
much
02:45
Wow, I realize my example was awful
JS will keep "dog" the same if "woof" changes. I'm so tired
Ah, that makes more sense
However, if you're using something like jQuery and you set "dog" to be the height of the page, and you change the page's height, "dog" will always change
There's no way, to my knowledge, of freezing it
@SirCumference This was just an example, btw.
I can see the pointer magic happening in the background there
It happens in lots of other cases
02:47
@BernardoMeurer I really do find C++ much harder than C. Lost myself with templates and other idiosyncrasy.
Templates are a blessing
I guess you just need to understand classes better
That takes some work
@Slereah Plz help
@BernardoMeurer The concept of a class (and its instances) is easy to grasp. What's harder to learn is the minutia of everything in the language.
@JaimeGallego Meh, i didn't find it easy to grasp
does anyone know the reason that
in C langauge
for a calculation 1/10
if I want to show 0.100000000.....
the computer will tell me a wrong answer
sth like: 0.1000000000000000004251341314
why?
02:58
Floating point arithmetic
A binary computer cannot replicate some particular numbers at infinite precision
so basely the computer only operate with 64-bit-number, anytime I let it go beyond that
it will go wrong (without telling me a error)?
@Shing 53 bits of precision (or roughly 15-16 digits), I believe
okay, I see
thanks everyone for the help
And yes, it will give you a wrong answer without notifying you of an error. These errors happen billions of times in the execution of a typical numerical computing program; it would be pointless to notify you every time.
@Shing This is a famous instance of an error like this ruining everything
The MIM-104 Patriot is a surface-to-air missile (SAM) system, the primary of its kind used by the United States Army and several allied nations. It is manufactured by the U.S. defense contractor Raytheon and derives its name from the radar component of the weapon system. The AN/MPQ-53 at the heart of the system is known as the "Phased array Tracking Radar to Intercept on Target" which is a bacronym for PATRIOT. The Patriot System replaced the Nike Hercules system as the U.S. Army's primary High to Medium Air Defense (HIMAD) system, and replaced the MIM-23 Hawk system as the U.S. Army's medi...
03:03
oh... my goodness
ppl got killed
Anonymous
@DavidZ Thanks a lot. Were you born in China or you are there for work purpose ? "David" doesn't seem a native Chinese name!
@SirCumference on what
@Slereah Big space stuff
The actual question I have: Say we have two galaxies. Due to the Hubble flow, their proper distances are increasing, but their comoving coordinates are not changing.
Now say we turned off the Hubble flow and allowed gravity to do its thing. Would the comoving coordinates change as the proper distances decrease?
@Shing Yes, that sadly happened. There are other cases, such as the Therac-25 or the "unintendedly accelerated" Toyotas, which should convince anyone in those kinds of industries to code safely.
(They still don't)
03:21
@blue I only worked there for a couple years. (So I suppose you should take what I tell you with a grain of salt)
Their comoving distance is probably decreasing in the first case, too
Since they still attract each other
It's just that we assumeperfect homogeneity when there is none
@BernardoMeurer 25 is when the brain is fully matured and alcohol cannot damage it
I am waiting until 25 until I drink
Birds are chirping
I should go to bed
@JaimeGallego good night.
or good morning(?)
Good morning, good evening and good night
Catch you all later
03:32
that movie was beautiful
Christ...sobolev spaces on piecewise $C^\infty$ domains
I give up
take me now, lord
@Slereah Wait, I thought Hubble flow doesn't affect comoving coordinates?
if you just consider the effect of the FRW metric, yes
But then that means there's no attraction between galaxies
the gravity is the same in all directions, if you will
03:47
@Slereah Wow. I'm dumb.
04:16
any help on SAXS?
Why Cellulose Macromolecules are well characterized by SAXS technique?
user228700
05:03
@JohnR: Morning :-)
@Kaumudi.H Morning!
user228700
My father has brought home ~25 mangoes from Kerala!
25! :-)
Green or ripe?
user228700
Ripe!
user228700
My grandma tells me that they're all deliciously sweet and juicy.
05:09
Mmmmmmmmmmm :-)
user228700
I wonder why she bothered to send it with him; I'll be in Kerala this time next week.
In the UK the mangos we get have been picked when green and ripened in the hold of the ship. They are OK, but nowhere near as good as mangos fresh from the tree.
user228700
I see. That's a shame :-(
There's no other way to do it.
If you tried to ship fresh mangos to the UK they'd be rotten by the time they got here.
user228700
Hmm, yes...
05:12
You could fly them over I suppose, but they'd be expensive mangos!
Are you going to Kerala after the last exam?
user228700
As a child, I used to while away afternoons on a particular mango tree overlooking a field in my native place; sometimes my friend would accompany me and we'd have freshly plucked mangoes for lunch. At other times, I'd take books with me.
user228700
@JohnRennie Yes and no. I'm going to Kerala next week to write an exam over there. My last exam is in May and after that, yes, I will go back to bring back my sisters.
Ah. Well good luck in Kerala!
I may be a little distracted for an hour or so. Server problems ...
user228700
Thanks! I'm going only next week though.
user228700
Wokay!
05:39
@Kaumudi.H It's the weekend that our 500 or so servers install Windows updates then restart. There are always a few servers that fail to restart properly, and I get to manually fix them. Lucky me :-)
user228700
Ouch >.< Does it take a terribly long while to fix them?
Around 15 minutes per server
And there are about a dozen servers down
user228700
Jeez, that's close to 3 hours! Well, good luck! :-(
It's generally not scary. Usually turning them off then on agin does the trick :-)
05:55
I think there must be a lot of JEE discussions going on in h bar recently, cause last night dream, I, despite being a postgrad, was required to take something called the New South Wales National Exam
user228700
Oh man, I'm so sorry x'D
Anonymous
@Secret Aaaaahhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Anonymous
JEE has gone viral
Anonymous
How did the exam go ? :-D @Secret
This (fictional, since it is a dream) exam is something even larger scale than JEE, it is an exam which take place in NSW and is required to be taken by all people in australia from high school up to postgraduates. The exam scheduling is also highly intense. For example, in the dream, the day I was asked to take the exam is Science I, which consists of 3 science subjects including maths, and spaced only 1-3 hors apart, and the next day in the dream, is Science II, which has two science subjects.
On that day, I almost late for my 15:43 hacking (forgot) exam had I not have the ability to rewind time back 30 seconds
My exam gone well, and the exam also uncovers some kind of undercover plot that is going on, some kind of bigger narrative involving two hotel chains
user228700
05:59
> Some kind of bigger narrative involving two hotel chains
user228700
Wtf?! x'D
Anonymous
@Secret Total number of high schoolers+ undergrad+ postgrad in Autralia, that's still not greater than 1.5 million (considering Australia's population is 23 million) =P
Anonymous
@Secret My goodness XD
@blue well, JEE is only for high schoolers right?
what kind of drug did you use last night
Anonymous
06:01
@Secret Yes, but we have 1.5 million students who take JEE.. (almost 1/15 of Aussie population)
i want some of that stuff
I am not sure, will spending the whole day doing my PhD calculations in a mac terminal count as a drug?
user228700
@BalarkaSen Why though? Do u want to experience these types of dreams? :-P
(my dreams are known to become very vivid whenever my brain is busy at calculations)
user228700
@Secret Your dreams are quite vivid even otherwise! :-o
Anonymous
06:03
@BalarkaSen Even drugs can't cause that much impact...lol :D
Basically, one hotel chain is owned by some japanese gang whose leader is a master in Judo. His chain is not very popular compared to his (unspecified) competitor. Somehow, some hackers are employed which hacks the financial sector, and this result in his hotel chain to slowly grew influence.
In the exam in the dream, one of the hacking technique was illustrated, which is basically to disguise the hacking as platformers, so that for any unsuspecting users who played those games, keystrokes such as arrow keys are mapped to certain commands in the terminal thus the gamers will be unwittedly b
(that may be less automatic than a botnet, but it might be more effective given its unoticeable nature and that it does not install malware. I don't know where my dreams get all these crazy ideas from)
@Kaumudi.H well drug effects depend on he user; mine probably won't be about jee
speaking about malware, perhaps one reason there is a hacking theme in the dream because bernardo have been talking about a lot of hacking and uttering the term "malware" recently
Anonymous
@Secret That's hilarious....unfortunately I didn't see any dreams for atleast the last 5 years. Give me some tips! =P
user228700
@Secret What the heck. Wow...
06:12
I don't know, but try your best to remember them, because once you can remember your first dream, it gets easier because your brain will become used to dream recalling
SBM
SBM
Um
@blue get lsd and sleep on it
user228700
@BalarkaSen Are u from Punjab? :-P
user228700
(I'm aware that you are not; that was a stupid joke about Punjab)
i have heard they are into drugs too
SBM
SBM
06:13
Mangoes and JEE
For me, I have a very strong motivation to remember and log my dreams: I want to extract the otherworldly ideas that are from my dreams, because some of them (similar to kekule) are usable and realisable. These ideas are often so far out from the patterns of the waking thoughts it is very hard to reproduce them
Anonymous
@BalarkaSen I was thinking of cocaine and heroin XD
user228700
My friend goes to university there and marijuana is grown inside their campus in the open space and nobody does anything about it! (@blue: I'm speaking of IISER Mohali, BTW)
@blue those are stimulants, not hallucinogenics.
SBM
SBM
Wait, hallucinations
Anonymous
06:15
Cocaine, also known as coke, is a strong stimulant mostly used as a recreational drug. It is commonly snorted, inhaled as smoke, or as a solution injected into a veins. Mental effects may include loss of contact with reality, an intense feeling of happiness, or agitation. Physical symptoms may include a fast heart rate, sweating, and large pupils. High doses can result in very high blood pressure or body temperature. Effects begin within seconds to minutes of use and last between five and ninety minutes. Cocaine has a small number of accepted medical uses such as numbing and decreasing bleeding...
Anonymous
Well, they do cause hallucinations too...
Anonymous
lsd is much milder
they do but their purpose is primarily different from LSD, Marijuana or other psychoactive drugs.
Read the introduction to Naked Lunch :P
user228700
I know what I know about drugs from The Perks of Being a Wallflower ._.
i have heard of that movie.
user228700
06:17
It's a good one.
Anonymous
I know about drugs from my "few" drug addict classmates....:P
SBM
SBM
What?
Anonymous
@Kaumudi.H I think there would be some punishment for stealing marijuana...
Anonymous
That's weird though
user228700
06:20
@blue Stealing?
Anonymous
@Kaumudi.H I mean, can they take away the marijuana ?
user228700
I doubt if the marijuana was originally planted by the institute...
Anonymous
@Kaumudi.H my gosh....
Anonymous
lol
Anonymous
0
Q: Computing $x^{2017}+\dfrac{1}{x^{2017}}$ given the value of $x+\dfrac{1}{x}$.

Jack FrostIf $x+\dfrac{1}{x}=2017$, then the value of $x^{2017}+\dfrac{1}{x^{2017}}$ is, A) $2017^{2016(\sqrt{5}-\sqrt{3})}$ B) $2017^{2016(\sqrt{3}-\sqrt{2})}$ C) $2017^{2\sqrt{3}}$ D) $2017^{3\sqrt{2}}$ E) None of the above Progress: We could make use of the identity $$x^{m+n}+\dfrac{1}{x^{m+n}}=\...

Anonymous
06:22
Good question ^
SBM
SBM
Haha
@blue
Anonymous
@SBM Haha at what? =P
Anonymous
The maths question?
SBM
SBM
Looks like everyone would continue using 2017 for more questions
It's pathetic
since $\sqrt{4068285}$
is irrational
Anonymous
It should be easy. Using properties of quadratic equations.
SBM
SBM
06:31
That number is not good looking
Good morning folks
@BernardoMeurer goood morning!
Anonymous
2
A: Computing $x^{2017}+\dfrac{1}{x^{2017}}$ given the value of $x+\dfrac{1}{x}$.

amakelovNote that the equation $x+1/x=2017$ reduces to a quadratic equation, and clearly the two roots must be $x_1=\alpha$ and $x_2=1/\alpha$, since if $\alpha$ is a root, so is $1/\alpha$. Now, the coefficients of this quadratic equation are integers, which means that all symmetric functions in the two...

Anonymous
Great :-)
@Kaumudi.H Eh, well. Here is a one of my favorite "on high" sequences from a beautiful movie I watched recently.
SBM
SBM
06:40
:)
Anonymous
@SBM I'm thinking of a method to actually calculate the value
SBM
SBM
OK, @blue there's no harm in trying
user228700
@BalarkaSen Interesting.
I should also mention that literally every sequence from the movie is an on-high sequence. :P
user228700
I read the synopsis and yes, sounds like that would be the case :-P
user228700
06:53
The Perks of Being a Wallflower is also a book--->movie adaptation, BTW.
Ah.
NL isn't quite an adaptation of the book in the classical sense. In the words of the director, a literal adaptation would take 500 million dollars and would be banned in every country of the world.
user228700
x'D I see.
SBM
SBM
xD ?
Anonymous
@SBM grin
user228700
SBM
SBM
06:59
Oh
This chat jargon is really complicated, though ^_^
Anonymous
google is your friend :-D
Anonymous
@SBM Do you remember any thermodynamics from class 11?
SBM
SBM
Yes
Anonymous
So, here's a question for you:
Anonymous
If we add a ice cube to water and it melts. Suppose you have 1 mole of ice and the latent heat of fusion is say 6 kJ/mole. Then how will you find the entropy change?
Anonymous
07:04
It is a easy question =P
SBM
SBM
You see, it's just $$\dfrac{6}{273.15}$$ kJ per K
It's just one mole
right @blue
$\neq P$
Anonymous
@SBM Good
Anonymous
Don't know why I asked it
SBM
SBM
¿.)
Here's another simple one
Nevermind. Should be easy.
Anyone want to listen to my stupid jokes?
SBM
SBM
07:19
:( :(
Anonymous
Now a good question. There is a box having two insulated rigid compartments of equal volume $V$, temp- $T$ and pressure $P$ with gases 1 and 2 resp. How will you calculate the work gas 1 does on the other gas 2 when the partition between the compartments is removed ? @SBM
Anonymous
@SirCumference Go on
SBM
SBM
is it as easy as it looks?
Anonymous
It is easy
Anonymous
Depends on your understanding
Anonymous
07:27
You can consider them as monoatomic if you wish.
SBM
SBM
.
Gamma = 5/3
Nah
Anonymous
$\gamma=\frac{5}{3}$ is fine.
SBM
SBM
0
O
Anonymous
@SBM ??
Anonymous
How are you getting 0?
SBM
SBM
07:38
No
Adiabatic
Anonymous
@SBM So?
SBM
SBM
:(
Anonymous
08:14
@SBM Any ideas? :-)
SBM
SBM
Not really
Anonymous
Keep trying
Anonymous
We can discuss the answer tomorrow

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