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4:00 PM
@Hippa, ah, okay
 
user105491
@BalarkaSen Algebraic number theory or plain algebraic geometry?
 
Psst. Actually, I like the algebra in algebraic geometry, @Sanath.
@SanathDevalapurkar ANT has nothing to do with algebraic geometry.
 
user105491
@Balarka Nice. You're just like me!
 
@SanathDevalapurkar Not quite.
I don't know any topology at all and I don't even like it.
 
4:01 PM
@Alizter line 98
 
@Alizter What kind of chain rule did you use in my question?
 
user105491
@BalarkaSen Didn't mean ANT. Meant algebraic geometry+number theory.
 
@MrWho The normal chain rule. Treat f(x, x) like f(x, y). Take partials wrt x and y and take their sum. Then replace y with x
 
@SanathDevalapurkar That's arithmetic geometry, as we call it.
 
user105491
@BalarkaSen I like topology, but don't do much with it. Now, I'm studying "internal categories in $(\infty,1)$-topoi" (my paper's title).
 
4:03 PM
@Alizter wrt?
 
With respect to
 
user105491
And thanks for clarifying that it's called arithmetic geometry. :-)
 
@SanathDevalapurkar Topos theory is too complex.
 
@Alizter That shouldn't be written like that, causes confusion!
 
user105491
@BalarkaSen It's fun, though!
 
4:03 PM
I like category theory only for grothendiek's galois theory.
 
@MrWho You learn these short hand eventually :)
 
@Alizter You math major? even math guys don't use such things :-D
 
user105491
I like the homotopy hypothesis; I've tried to generalize it to $(\infty,n)$-categories.
 
@MrWho From now one I shall write "with respect to".
 
user105491
Grothendieck was a genius, was he not?
 
4:04 PM
No I am not a math(s) major :)
 
user105491
@BalarkaSen You a grad student?
 
Out of my league, @Sanath. I only know homotopy for galois theory of covering spaces.
 
@Alizter So, that's how i compute Caylay tables - what should I do for Z and S ?
 
@SanathDevalapurkar He is the same age as you
 
@SanathDevalapurkar No. high schooler here.
 
user105491
4:05 PM
@BalarkaSen Nice!
 
user105491
@BalarkaSen No one believes that I'm $14$, see this: meta.math.stackexchange.com/questions/15038/…
 
@Hippalectryon go through every combination of n*k under modulo whatever then colour them according to their values
 
@SanathDevalapurkar You seem to know much at the age of 14.
 
user105491
@BalarkaSen You know a lot, too!
 
@Hippalectryon S was a bit harder. I don't think you can do it easily with your setup
 
4:07 PM
Nah.
I know nothing.
 
@BalarkaSen >:(.
 
user105491
Honestly, you know a lot more than me. Heck, I don't even know anything more than elementary number theory!
 
@BalarkaSen Did you see my integral above? :p
 
@SanathDevalapurkar Each to his own.
@N3buchadnezzar Yeah, pretty weird.
 
user105491
@BalarkaSen :-)
 
4:08 PM
How did you do it?
 
@BalarkaSen ?
 
@N3buchadnezzar i mean, how did you prove the gamma function integral?
 
Elementary ?
 
Here comes another genius, who knows more than we can imagine. hey @Sawarnik
@N3buchadnezzar What elementary?
 
@Alizter go through every combination of n*k under modulo whatever uh mind explaining ? :D
 
4:09 PM
@BalarkaSen rolls eyes
 
user105491
Hey @Sawarnik
 
@BalarkaSen $u = e^x$
 
@SanathDevalapurkar Hey
@Balarka Was that some kind of your poor jokes?
 
@N3buchadnezzar Right. oh noes. I didn't even try anything.
@Sawarnik No.
 
@BalarkaSen Then it falls out
 
user105491
4:10 PM
@Sawarnik, @BalarkaSen We should form a group - "The $14$-year olds on M.SE"! :-) (A better group name would be in line. XD)
 
nah.
 
@Hippalectryon Multiply every number combination under n then take the mod n
@SanathDevalapurkar $\mathscr M\mathrm{SE}_{14}$
 
better learn more than forming groups.
@Alizter A homomomorphic image of monster group into $PSL(2, 14)$?
 
user105491
@Alizter Perfect! You know, we'd include you in the group (get it - math pun!) $$\mathscr{MSE}_{\mathrm{age}\leq18}$$
 
@G.T.R We drop a ball, why does it fall? :)
 
4:12 PM
@MrWho Cuz it likes grass ?
 
@SanathDevalapurkar I lied. It was a field. Better start extending.
 
OK, people. let's not be all serious about this.
 
@Alizter So x,y axis are 1->n ?
 
0 to n-1
 
@Sanath i am sure you'll like galois theory if it'd have related to topology.
 
4:14 PM
@Alizter What are the Z groups called ?
 
user105491
@BalarkaSen Perhaps, yeah. Think you could teach this knuckle-head (me) some Galois theory?
 
@Alizter Could you please rewrite the chain rule you've used in the answer with $\frac{\partial }{\partial x}$ notation?
 
@MrWho ask this on Physics.se and set a 500 bounty
 
@SanathDevalapurkar Well, there's a algebro-geometric aspect of galois theory I am studying recently.
 
user105491
@BalarkaSen I'm interested already!
 
4:14 PM
@Hippalectryon The integers modulo n under multiplication written as $\Bbb Z_n$
@MrWho Sure thing!
 
@G.T.R How can I set a bounty there?
@Alizter Thanks !
 
This place is crowded. let's go to the root of math room.
 
user105491
@BalarkaSen Where's that?
 
ok, let's forget it. my internet is too slow.
try reading up Alekseev, @Sanath.
 
user105491
@BalarkaSen OK
 
user105491
4:17 PM
@Sawarnik So, which subfield of math are you a genius in?
 
@SanathDevalapurkar None. Balarka was joking :D
 
user105491
@Sawarnik You sure? Not many $14$ year olds join M.SE!
 
@SanathDevalapurkar Why? Our PK for example.
 
We are the idiots here, @Sanath. You the mathematician.
 
@BalarkaSen True.
@BalarkaSen Did your school start finally?
 
4:19 PM
@Sawarnik No.
Got extra holidays.
(again)
 
@MrWho Is that better?
 
WAAAAAATTTTT
NOOOOOOOOOOOOOO!
 
hahaha
will open at 1st July
 
This is unfair.
I would file court cases against your school.
 
I have holidays. Three months of them
 
4:20 PM
@Alizter Are you in high school?
 
Holidays are god, you can work as much as you want :D
 
@Alizter I got three and a half in total.
 
No time limit
 
@Sawarnik Yes
 
This is unfair :'( (cries)
I got only 1 month
 
4:21 PM
@Sawarnik I did my GCSE's recently so yeah
 
@Alizter What's that $w$? couldn't you do the derivative for the $F$ function you've considered as anti derivative?
 
With a pile of homeworks .. grr.
 
@Alizter nCr(y,x) or nCr(x,y) ?
 
@MrWho It is just a generic function as an exmaple
 
@Alizter I know it would be appreciated if you'd done it on the main function!
 
4:23 PM
Ahoy @Alex.
 
@AlexanderGruber Hi !
 
how's it going you guys?
 
@AlexanderGruber Sprays with water
 
@Lost1 in the US, yes, if it is a felony.
 
4:25 PM
@MrWho Fixing
 
@AlexanderGruber fauds?
 
@N3buchadnezzar what are you, the weather in Florida?
 
@Alizter Thanks!
 
@Lost1 fauds?
 
Norway. I figured you needed some to cool off
 
4:26 PM
@AlexanderGruber How is the weather?
 
@Sawarnik it's so weird... the rain will go from 0 to 100% in 1 second
 
no warning no drizzling
 
Oow, that's fast.
 
just a sudden wall of water will hit you from the sky
 
4:27 PM
@AlexanderGruber How much does it rain in a year there?
 
@AlexanderGruber does fraud fall in that category?
 
And there's no respite from heat here :(
I got cooked coming home from school.
 
@Lost1 most of the time
 
@Sawarnik Well done
 
@Lost1 why, thinking about defrauding somebody? :p
 
4:28 PM
IamSoPunny
 
@MrWho How is that?
 
@N3buchadnezzar Nopes.
 
@N3buchadnezzar that's a good question let's see
1297mm.
 
@Sawarnik Well done as in overly cooked, ALSO as a compliment. I double meaning !
 
@AlexanderGruber a friend was a victim. the police caught the criminal and he is (to my surpise), a student at cambridge. since all cambridge students live in college, the university almost certainly know
@AlexanderGruber i wonder if he would be expelled...
 
4:30 PM
@AlexanderGruber That's a lot. 2,250mm here
 
@Lost1 what exactly is the nature of the fraud? It matters whether it is civil or criminal fraud.
 
@AlexanderGruber criminal.
 
1127 here.
In the last, drier year.
 
Got disconnected.
 
@Lost1 what happened? my apetite has been whetted.
@N3buchadnezzar that is a ton of rain.
 
4:32 PM
200 rain days a year, awwwyeah. Some parts of it is snow
 
It's already monsoon here.
 
@N3buchadnezzar Aww.
 
Raining all the time.
 
@BalarkaSen In Kolkata, but here :(
 
@Alizter The part I needed you to use the notation I told you, you used newtonian notation ! I don't get this : $F'(v,x)=v'f(v,x)+f(v,x)$
 
4:32 PM
it's also close to degrees at 85% humidity here
 
It was still like 45 degrees when I was coming home.
 
@Sawarnik No problems. People here develop gills after a few years, or die.
3
 
@N3buchadnezzar And how do you work with no sun on the sky?
@N3buchadnezzar Heh.
 
@AlexanderGruber long story short: he posed as a job agency and asked for a fee in return of introducing jobs. he forged emails from Goldman Sachs.
 
@N3buchadnezzar Do you have gills?
 
4:34 PM
The weather is extremely hot and humid, I'm dying because of mosquito(s) biting me every time :(
 
A tourist came to bergen, and it was heavilly raining. He asked a young boy: "Does it always rain here?" The boy answered: "Do not ask me I am only seven".
 
@BalarkaSen Why the hell are you enjoying holidays hen its already raining?
 
@N3buchadnezzar LoL
 
@Lost1 i'm not sure how the international aspect of this would affect things but i imagine if you contacted the college's disciplinary committee that something would probably happen
 
@Sawarnik Aye aye captain
I live in a pineapple under the sea
 
4:36 PM
@Alizter ?
 
@MrWho Yes
@MrWho It is explained with what I showed above
 
@Sawarnik You don't want to know.
 
@Alizter The part I needed you to use the notation I told you, you used newtonian notation ! I don't get this : $F'(v,x)=v'f(v,x)+f(v,x)$
 
In our case the function $w$ is $F$ and $a(x)=u(x)$, $b(x)=x$
 
@BalarkaSen True.
 
4:37 PM
@AlexanderGruber i am planning to as soon as he is convicted. it is a shame he goes to the same university as me. much prefer if he went to oxford instead...
 
@N3buchadnezzar yellow submarine?
 
@Alizter Show this in the notation I told you, $F'(v,x)=v'f(v,x)+f(v,x)$, and I'm done!
 
@BalarkaSen Spongebob?
 
@AlexanderGruber I am having a hard time with grombinatorics.
@N3buchadnezzar Ah, right right.
I forgot. Seen it ages ago.
 
@Lost1 eh, send him over to america. we'll put him in an MBA program.
 
4:39 PM
94°C
 
@AlexanderGruber lol hahaha. the thing is this guy is not British. He can just leave the country and no criminal record. what a shame.
 
@Alexander I am trying to classify all groups of order 216.
 
@BalarkaSen I try to make intellectual pop-culture references, but nobody gets them =/
 
@Lost1 did he get any money out of it?
@BalarkaSen what's the factorization of that
 
$2^3 \cdot 3^3$
 
4:40 PM
@N3buchadnezzar Show me this statement in partial fraction form :( $F'(v,x)=v'f(v,x)+f(v,x)$
 
No idea
 
@BalarkaSen ok, what've you got so far?
 
@N3buchadnezzar Why's that?
 
@AlexanderGruber i have got the normal $3$-sylow part.
it's the $4$ $3$-sylows i am having trouble with.
i am trying to count stuffs.
 
@BalarkaSen you mean that there are four Sylow $3$-subgroups, or that you've narrowed it down to four options for the Sylow $3$-subgroups isomorphism type?
 
4:43 PM
the former.
there can be only 1 sylow 3-sbgp, in which case you'll get a bunch of groups.
@alexander you've never looked at artin, right?
 
no, I used D&F at that level.
 
@Hippalectryon Isn't your avatar the same as RobJohn but vice versa + being in blue instead of orange ? :O
 
@MrWho Who knows ;)
 
@BalarkaSen do you mean the latter?
 
@alexander artin gives explicit presentation rather than clasifying auts and writing fancy semidirect products.
 
4:45 PM
@MrWho Done? If you need anymore help with it feel free to ask.
 
@MrWho It proves that $\dfrac{1}{\frac{1}{@\text{robjohn}}}\neq @\text{robjohn}$
 
@AlexanderGruber i mean that i have classified all the groups of order 216 with only 1 normal sylow 3-sbgp.
 
Ahhh okay i see
 
now i am trying to count the number of elts in the intersection of two sylow 3-sbgp.
 
ok, so what do your $2$s look like if you have more than one $3$?
 
4:46 PM
$S_4$
 
@Alizter Thanks, what is the partial fraction for $f(u,v)$ answer it here!
 
@AlexanderGruber let me think.
 
@Alex!
 
@Ted, my ex-girlfriend might be moving to your city.
 
4:47 PM
@MrWho $u$ and $v$ are both functions of $x$. Right?
 
@AlexanderGruber the one who associates primes to fancy colors?
 
Oh ... So, I guess with the ex- you win't be visiting? :)
 
@Alizter What is the partial fraction in which its product would be $f(v,x)$ !
 
It'll probably soon be my ex-city :)
 
@BalarkaSen haha no, she's crazy.
@TedShifrin depends how the incumbent feels about that. :P
@TedShifrin are you moving?
 
4:49 PM
heck it, @Alex, how many girlfriends do you have.
oh, well, it's none of my business. back to thinking about groups of order 216
 
@BalarkaSen One at a time, generally speaking.
 
Most likely moving back to CA when I retire ... Despite my paid-for house here ...
 
Afk dinner, i'm nearly finished with Z :D @Alizter
 
@MrWho If I take the partial derivative with respect to $x$ it doesn't work since both of the parameters of the function are in terms of x
 
Bon appétit, @Hippa
 
4:50 PM
@AlexanderGruber wonders how he does mathematics with that
 
@TedShifrin yeah it'd be a bit difficult to choose georgia over california
 
@MrWho So I treat $u(x)$ as $u(y)$ then I say that the total derivative of $F$ is the sum of the partials. Now setting $y$ back to $x$ i have that product.
 
@Alizter My question is $\frac{\partial }{\partial x}(what?) = f(u,v)$
 
Oh, @TedShifrin, i forgot to tell you. My professor says he knows about your abstract algebra book.
 
r9m
@MrWho How long can you hold your breath ? :D
 
4:51 PM
@r9m The last record 1:43:562
 
@Balarka: He probably doesn't like it. :) arguably not the best of my 4.
 
r9m
@MrWho XD .. I could hold it till 1:33 approx :P, can you swim ?
 
@MrWho We are trying to differentiate $F(v(x),u(x))$ you with me?
 
@r9m Yeah
 
@TedShifrin I haven't asked that to him, but he says he likes your Diff geo book.
 
4:53 PM
@Alizter Yes
 
@MrWho So I am saying we cannot do that unless we consider the following
 
r9m
@MrWho no wonder you can hold your breath that long :)
 
Put $u$ in terms of $y$
 
@BalarkaSen one's a good number of girlfriends to have.
 
Unless you're aiming for harems @Alex :D
 
4:54 PM
@Alizter My question is just $\frac{\partial }{\partial x}(what?) = f(u,v)$
 
@MrWho Bear with me
 
@BalarkaSen thing to think about is how the two types of subgroups interact. This is easiest when one normalizes the other, but it doesn't have to be like that.
 
@Alizter What is $f(u,v)$ product of?
 
@TedShifrin Oh, I'm saving that for after my PhD. :)
 
4:56 PM
@MrWho Look.
I am trying to tell you that we cannot diffferentiate $F(v(x),u(x))$ exactly
 
@Alizter Tell me.I'm all ears.
 
@AlexanderGruber I used to think all mathematicians are nerds.
 
So we add the partial derivatives with respect to x of the v(x) part and the u(x) part
forget that
 
@AlexanderGruber I will think when I get out of these room.
 
BTW, @Alex, this person might be of interest, given your woes.
 
4:58 PM
$F(v(x),x)$
now if we take the derivative with respect to the first x and then add it to the derivative with respect to the second x we get the derivative with respect to x of $F$.
 
@BalarkaSen we are
 
I resemble that remark.
 
@AlexanderGruber you don't seem like one, with one weird man mustache and that many girlfriends.
 
@Alizter Seriously, I'm lost, I know can get the partial derivative of any function you give me, but here $f(u,v)$ how did it even appear? I know what you mean in the last statement!
@Alizter Let me put it in another way.
 
@TedShifrin She looks pretty good!
 

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