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7:00 PM
I do
 
r9m
@BalarkaSen a geometer (and an analyist) of top caliber :P
 
ohh?
how unorthodox
oh, a Riemannian geometer? I am not counting them in :P
 
@Balarka: Well, you did say "schoolwork."
 
yes, and so it is.
I am not planning to fail on my tests.
:P
 
Tests in the autumn?
 
7:04 PM
it's in august.
 
@pjs36: Don't blame me!
 
Right now, I feel that studying analysis has become more of a painstaking chore than something I enjoy. I assume this is what it feels like to be overworked
 
Never, @TedShifrin :P
 
Its tomorrow @TedS My test Chemistry and i dont have a idea about it
 
Drop it, @teadawg. Go play outside!
 
7:06 PM
Maybe you should start studying something else, @teadawg1337?
 
Dont play I just broke an ankle
 
abstract algebra, for a change?
@TedShifrin That's not an option.
 
Well, go learn it, @Remember.
 
Playing is destructive to the mental faculty.
2
 
Bull ...
 
7:07 PM
hears a smack coming
lol
 
My teacher is horrific I dont understand half the things he says
@BalarkaSen Well said
 
@Balarka Yeah, maybe it's time to study a different branch of mathematics.
 
indeed. try algebra!
 
I certainly never enjoyed analysis as much as @Chris'ssis, so maybe it's not for me
 
you'll have fun, trust me.
and you certainly have the background too.
 
7:10 PM
can some one help explain why 16 is not considered to be sqrt(16) in this example of simplifying surds:
 
$\sqrt{256}=16$
 
@Rememberme Beat me to it.
 
yes but why don't it continue after that
so sqrt(16) becomes 4
why stop at 16
 
$\sqrt{ab}=\sqrt{a}\times\sqrt{b}$
What @teadawg1337?
 
but that image above shows sqrt(a) * b not sqrt(a) * sqrt(b)
 
7:13 PM
You stop because you need $\sqrt{256}$, not $\sqrt{\sqrt{256}}$
 
Right
What should i beat you to @teadawg1337
 
@pjs36 but then why didn't it stop for 512 as sqrt(2) * 256
 
@teadawg1337 Just don't lie yourself. Nothing compares with (advanced) analysis.
 
sigh @Chris'ssis
 
because $\sqrt{512}=\sqrt{2}\sqrt{256}$
 
7:15 PM
but sqrt(256) != sqrt(2)*sqrt(16) ?
?
 
You've'nt studying a lot of anything other than analysis (which you know well, I admit), so I'd'nt make such comparisons if I were you, @Chris'ssis
 
that is kinda confusing
 
@BalarkaSen I did it, be sure of that, but analysis is exactly what fits to me.
 
WHat is $\sqrt{256}$ @Dave
 
16
 
7:16 PM
So?? what do you infer
 
@Chris'ssis OK, what exactly did you study other than analysis?
 
other than it being a whole number compared to 512's root?
 
@BalarkaSen Before expecting me to answer your questions, learn to respect me.
 
Well now think we know that value of $\sqrt{a}=b$ then why again try to breake it @Dave
 
@Chris'ssis Honestly, you're in no position to tell me which branch of mathematics I should pursue. I'm more than capable of deciding for myself.
 
7:18 PM
@teadawg1337 Can you please tell me what should i beat you to?
 
@Dave The whole idea behind simplifying square roots is to break your number, 1536, up into a "perfect square" part, and a "square-free" part. So $1536 = 16^2 * 6$
 
And don't expect anyone to respect you with such a dismissive attitude.
 
See that
 
@teadawg1337 OK, I think I did a mistake I didn't ignore you so far. But I'll do it from now on.
 
@Rememberme You beat me to saying that $\sqrt{256}=16$
 
7:19 PM
hi@TobiasKildetoft@KarimMansour
 
@BalarkaSen you should learn some stuff about basic mathematics before trying to do the arrogant with me.
 
@Rememberme Hi
 
I didn't say anything unrespectful, just asking you not to compare something with something when you don't even know that "something", @Chris'ssis
 
so you have to break it down until one of the variables can be brought to a square free number
 
Oh i did beat you @teadawg1337 :p :D
How is it going @TobiasKildetoft
 
7:19 PM
@BalarkaSen Do you know what I studied in the past? You talk like you have the whole my file with all I studied so far. The things that annoys me at most is that you do the clever with me you knowing almost nothing about mathematics. Like you there are many others.
 
@Rememberme Good
 
And you're not only just expressing your personal argument, you're also trying to drag other peoples to do analysis by making false universal arguments.
 
Leave it @Chris'ssis@Balarka
 
@Chris'ssis No, but I think it's impossible for anybody to know all of mathematics.
 
hi @Rememberme
Hi @BalarkaSen
 
7:21 PM
@BalarkaSen When you excel in any branch of mathematics, then we continue this discussion, OK?
 
@BalarkaSen I appreciate that you're sticking up for me, but please drop this argument
 
@Chris'ssis Ok, I will then be the one to disagree with your claim that nothing compares to advanced analysis
 
I don't think I need to excel in any branch of mathematics to stop @Chris'ssis making not only completely false universal statements, but also making others believe her philosophy.
 
lol sup with you guys always discussion
always arguing I meant
@Chris'ssis and @BalarkaSen
 
@Chris'ssis Dont mind but i think you should not just talk into something which you dont know about.... I might be wrong but i think you should not force people to do what you want its their wish completely
 
7:25 PM
@BalarkaSen well, I saw the passion with which this person talked about subjects in analysis, and from there I got the conclusion that he has an incilnation toward analysis.
 
@Chris'ssis BTW, I didn't know you did advanced analysis. I thought you just liked to do really complicated integrals
11
 
Well @Chris'ssis Maths is not just analysis
 
@Chris'ssis Don't get me wrong, I enjoy analysis a lot. I just wish to explore other areas as well
 
:2167454 6Well, I don't force anyone doing anything.
 
@Rememberme You mean "not just" :)
 
7:26 PM
Hello, @Tobias, btw.
 
@BalarkaSen Hi
 
Corrected @TobiasKildetoft :p
 
How did the representation theory conference/seminar/whatever go?
 
@TobiasKildetoft One day a part of analysis will bear my name. Remember this well.
 
@BalarkaSen I was only there the first day. Then I got a stomach bug and had to stay in bed
 
7:28 PM
ah, I'm sorry.
 
@Chris'ssis Neat (I suppose)
 
Oh my, and you say Balarka is arrogant...
7
 
@BalarkaSen did you study representation theory ?
 
@Chris'ssis Its better to not think of results before you have achieved them
 
@BalarkaSen But the first day was good (except the talk by Lusztig, which was supposed to be a bit of a draw, but really sucked)
 
7:28 PM
on the contrary, I think I am doing my best not to be arrogant and to be very stupid, @teadawg1337 :P
@TobiasKildetoft Yeah, I saw you talk about it back then.
 
@BalarkaSen In any of the tests I'd prepare for you you wouldn't take a point (from 100 possible points).
 
@TobiasKildetoft are you undergrad ?
 
@KarimMansour No, postdoc
 
I see cool
 
@KarimMansour nah, just the basics.
I will, at some point of time.
 
7:30 PM
this summer I will study until representation theory it would be cool for you to be around the chat :d
 
Anyway, bbl.
 
@TobiasKildetoft
I see
 
@Chris'ssis I am sure I wouldn't. :)
 
@BalarkaSen I m planning to finish DF this summer
 
@KarimMansour I might be. It varies quite a bit whether I am here
 
7:30 PM
@Chris'ssis Now if @Balarka prepares a paper for you I guess you wont be able to solve even a single question
 
Cool, @Karim.
 
Nice @KarimMansour
 
cool @TobiasKildetoft
 
@BalarkaSen My bad is that I didn't ignore you at the proper time in past.
 
you're welcome to do so.
 
7:31 PM
Keep ignoring everyone @Chris'ssis
 
@BalarkaSen check out this question by me you might like it
2
Q: $X_{2n}$ be group presentation as displayed below proof verification

Karim MansourHi so I am solving problems in dummit and foote, however this problem I am not able to do it Show that if $n = 3k$, then $X_{2n}$ has order 6, and it has same generators and relations as $D_6$ when x is replaced by r and y is replaced by s. where $X_{2n} = <x,y | x^n = y^2 = 1, xy = yx^2>$ So ...

 
How much will you run from the truth@Chris'ssis
 
ord(x) = 1 means x is identity, @Karim
 
yeah
but that would prove that ord(G) = 2
 
@Rememberme You're ignored too.
 
7:33 PM
Pls do
 
since ord(G) = lcm(|x|,|y|) if they are coprime and indeed in both cases they will be
 
@KarimMansour Only if they also commute
 
@Rememberme To avoid such discussions.
 
r9m
this is too childish for my taste of humor ... come on at this rate I'm wasting my popcorns :P
 
yeah
oh I see @TobiasKildetoft
 
7:35 PM
@r9m I will buy you more :p
 
but I guess I don't need that anymore since we I did it by deriving the relations of dihedral group and vice versa.
 
sighs
 
but I wonder if I can do it directly that is prove |x| = 3 directly
 
@teadawg1337 I have been doing that the whole day
 
but yea then I would have to prove then that ord(G) = 6 then as @TobiasKildetoft pointed out I didn't realize this before we have to show they commute which they don't !
 
7:37 PM
@Chris'ssis All you're doing is burning bridges, I hope you realize that.
 
She will when time comes @teadawg1337
 
r9m
@anon avatar from Ghost in the Shell? :)
 
Stand alone complex@r9m
 
yeah
@r9m
 
Well @r9m I am sayan
 
r9m
7:42 PM
@Rememberme aha! :) hello again ..
 
Hello and cya gtg
 
r9m
I haven't watched the Stand alone complex .. but I watched the movies! They are Awesome!
 
7:57 PM
Hello!! Is someone of you familiar with the maximum principle?
 
I think you'll need to be more specific
 
This is my question:
0
Q: How could we continue to show the inequality?

Mary StarLet $\Omega$ a bounded space. Let $u_1$ the solution of the problem $$-\Delta u_1(x)=f(x), x \in \Omega \\ u_1(x)=g_1(x), x \in \partial{\Omega}$$ and $u_2$ is the solution of the problem $$-\Delta u_2(x)=f(x), x \in \Omega \\ u_2(x)=g_2(x), x \in \partial{\Omega}$$ Using the maximum principle I...

@teadawg1337
 
I'm not familiar with differential equations, @MaryStar
 
Ok...
 
@teadawg1337 Maybe I wasn't clear enough: no need to have discussions, bridges with you @BalarkaSena @Rememberme (at least). First you respect me if you wanna discuss with me (to say it clear once and for all).
BBL
 
8:10 PM
@Chris'ssis I think you need to learn to respect others before expecting to be respected yourself. With that being said, I'm putting you on ignore.
12
 
@teadawg1337 I starred you for putting me on ignore. I hope you keep your word. Thanks.
BBL
 
8:35 PM
Find the closed form of

$$\int_0^{\pi/4} \frac{\cos (2 x) }{1+\sin ^2(2 x)}\log (\cos (x)) \, dx$$
@r9m did you manage to finish it?
I have under research different variants of this one, but far more advanced. They are not hard, but some specific technique is required (once you get that you're almost done).
 
lool
"Von Neumann's ability to instantaneously perform complex operations in his head stunned other mathematicians.[84] Eugene Wigner wrote that, seeing von Neumann's mind at work, "one had the impression of a perfect instrument whose gears were machined to mesh accurately to a thousandth of an inch."[85] Paul Halmos states that "von Neumann's speed was awe-inspiring."[13] Israel Halperin said: "Keeping up with him was ... impossible. The feeling was you were on a tricycle chasing a racing car."
 
@Chris'ssis Well, sorry to disappoint you, but that was a test. I don't think I need to explain how you did on it. I will not engage in conversation with you again until you begin to show remorse for this unwarranted hostility towards me and several others.
 
Another version $$\int_0^{\pi/4} \frac{\cos (2 x) }{1+\sin ^2(2 x)}\log(\sin(x)) \log (\cos (x)) \, dx$$
But wait!!! You saw nothing yet!!!
The generalization $$I(m,n)=\int_0^{\pi/4} \frac{\cos (2 x) }{1+\sin ^2(2 x)}\log^m(\sin(x)) \log^n (\cos (x)) \, dx, \space m,n\ge1$$
@teadawg1337 I give you a hand to help you and you call that hostility? That's ridiculous.
I think I should have written $m,n\ge0$.
 
8:54 PM
I'm really bad with fractions when it comes to the unit circle.
Is there an easy way to tell if the decimal I got can be expressed as a fraction in terms of Pi?
 
No, you can't, @Owatch
It's an open problem :)
 
Aw.
 
It depends on the decimal expression, 'course, but it's open in general to determine whether any number is linearly independent of \pi
 

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