Mathematics - 2012-10-03 (page 3 of 3)

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Charlie

21:00

@Argon my noble friend!

Argon

@Charlie :) Hey

How are things?

Old John

@Charlie enough with the chemistry puns already!

Charlie

@Argon good.you?

@OldJohn i can't get enough of this

@Jas my Joyful friend!

Old John

@Charlie 'Tis OK

Argon

@Charlie Alright

Charlie

21:02

@Argon hmm

Argon

Charlie

@Argon good you're good

Argon

@Charlie Good

Physics test tommorow

Charlie

@Jasper

@Argon oh my!

Argon

@Charlie No worries, kinematics.

peoplepower

21:04

@OldJohn Oh no, he/she replied to my comment, and I cannot figure out what he/she said.

Charlie

@Argon oh..epiece of cake

Jasper i will ping you again...

@Jasper

Old John

@peoplepower where?

peoplepower

@OldJohn Below the question, you have to click the "n more comments" thing.

Old John

@peoplepower I don't understand it either! - looks like someone really struggling to express themselves in mathematical notation :(

@peoplepower In that sort of situation, it is sometimes more productive to "walk away" and try answering a different question :)

peoplepower

@OldJohn Sounds good. :)

Charlie

21:12

@Jasper By the way , good morning.

Old John

@peoplepower I have had several situations where I have made a great effort to answer a question as it was posted, only to find that the poster has later changed it because it was not really the question he really wanted to ask

Argon

Can anyone give me a $fun$ integral to try?

peoplepower

@OldJohn I guess it can be thought that the answerer is serving the questioner with thoughtful answers, the only price is a thoughtful and well-stated question.

Old John

@peoplepower and if they can't come up with the entry price .... we kick them out :)

Charlie

@Argon fun,a little

Argon

21:22

@Charlie I'm not sure if I'd call those ones "fun"

Tedious is more the word

I mean one that may not have an elementary antiderivative but is elegant

Charlie

@Argon is this funny enough?

Argon

@Charlie Seen that stuff

Peter linked me to one of his answers with this

Something like this perhaps?

Charlie

@Argon man,this is getting boring...

Argon

@Charlie Line integrals?

Charlie

@Argon yup

i had fun with them

Argon

21:29

Lets see

Charlie

@Argon if you think it's too easy, try to solve this one

Argon

@Charlie No problem :)

Charlie

@Argon you're teasing me, Argon, teasing me...

Argon

1. $$\int_\gamma y\, ds = \int_0^2 t \sqrt{4t^2+1}\, dt$$

Correct so far?

Charlie

@Argon i dunno what are you doing?

Argon

21:34

usciences.edu/~lvas/math430/line_integrals.pdf

Practice problems. 1

user19161

@Charlie You are always saying mysterious things I don't get, but never mind.

Charlie

@JasperLoy what did i say?

Argon

@Charlie If the above is correct, the answer should be trivial with the substitution $u=4t^2+1$

user19161

@Charlie You said "stop thinking about these things". I am not sure what you mean by "these things", but never mind!

Charlie

@JasperLoy you know...

user19161

21:38

@Charlie I am not sure. Where others see 1 interpretation I usually see 10. That is why people often misunderstand me.

Charlie

@JasperLoy same here...

user19161

@Charlie Ha, and you tell me "you know"? Anyway, never mind!

Charlie

@JasperLoy but i know you do...

user19161

@Charlie How do you know?

Charlie

@JasperLoy i know...

user19161

21:40

@Charlie This is so funny!

Charlie

@JasperLoy :D

@Argon i dunno if it's right...

Argon

@Charlie It's right

I just finished

T'was trivial

Charlie

@Argon hmm but i still don't know if what you did is right

@JasperLoy jasperotti

user19161

@Charlie Anyway, I have not thought of what to ask you, but I will when I have finished thinking.

Charlie

@JasperLoy ok

Argon

21:42

@Charlie It was the answer that was given by the PDF's answers

Charlie

@Argon \o/

Argon

@Charlie ??

Charlie

@Argon happy:\o/

@JasperLoy ask something that may have an answer...

user19161

@Charlie Some questions are not well-defined. And some answers are not well-defined either. Do you think you know what I want to ask?

Argon

@Charlie Here's a fun integral to try: $$\int_{-\infty}^\infty \frac{dx}{(e^x-x)^2+\pi^2}$$

Charlie

21:44

@JasperLoy ...

user19161

@Charlie ...

user19161

@Argon My eyes!

Charlie

@JasperLoy becareful with what you will ask...

anon

@Argon 1/(1+W(1))? I still haven't figured out how it evaluates to that though.

Argon

@anon Indeed it does

I've been trying to deduce why as well

user19161

21:46

@Charlie This is so mysterious. Well, never mind, I won't ask anything then.

Charlie

@JasperLoy ???

anon

That question is unanswered on MSE. JM and I tried bumping the question a few times for more exposure but to no avail.

Argon

@anon I will look into it some more, see what I can find.

user19161

@anon Ah, I should bump it a few more times then.

Charlie

@JasperLoy knock it off

Argon

21:49

Something interesting to note is that $$\int_{-\infty}^\infty \frac{dx}{(e^x-x+1)^2+\pi^2}=\frac{1}{2}$$

user19161

@Charlie OK, I won't ask you then. Case closed.

Charlie

@Argon $\huge\text {O.o}$

@JasperLoy NO!!

@JasperLoy you may regret later...

user19161

@Charlie OK, I may ask in future then, maybe.

Charlie

@JasperLoy ok..whatever...

user19161

@Charlie The future is uncertain, especially for myself.

Charlie

21:52

@JasperLoy to all of us

user19161

My uncertain future complicates all matters of the future further.

Charlie

@JasperLoy like everyone

user19161

@Charlie Well, but of course some much more so than others.

Charlie

@JasperLoy oh ,Jas...

@JasperLoy have some faith please... give a smile, for me...

user19161

For example, 1+1=2 is trivial. 12+34=46 is trivial. Now observe that both are trivial, but the former is much more trivial.

Charlie

21:56

@JasperLoy if you already know it is.for a 2 year old child ,it's not

user19161

So we have just exhibited a homomorphism from complicated future to trivial addition. QED.

Charlie

@Argon didi you solve that hypothesis i gave you?or you are too "lazy"?

@JasperLoy excuse me?

Argon

@Charlie The solution was trivial, not worth my time :)

user19161

@Charlie Hmm, have you done group theory?

Charlie

@Argon hmm,boy you know what to say...to make a girl get mad...

user19161

21:58

@Argon Yes, better spent on differentiating without invoking limits!

Charlie

@JasperLoy no..why?

user19161

@Charlie Ah, then you will know what I mean by homomorphism!

Argon

@JasperLoy Hahaa

user19161

@charlie Do you use Windows or something else?

Charlie

@JasperLoy unfortunately,windows

@JasperLoy why?

user19161

22:04

@Charlie Nothing, I like to make small talk.

Charlie

@JasperLoy make more

user19161

@Charlie Enough for today. I said a bit too much already. =)

Charlie

@JasperLoy :O

@JasperLoy say anything...

anything, @jasper...

Old John

g'night all

Charlie

@OldJohn night, Old!

JASPER!

@JasperLoy !

@IanMateus E aí,mateus,como vai a vida?

@JasperLoy :(

robjohn

22:29

@JasperLoy Is your voice getting hoarse?

don't answer, "neigh"

Peter Tamaroff

@N3buchadnezzar Exercise: Prove $a_n=\dfrac{n!e^n}{ n^n\sqrt n}$ is monotone descreasing.

N3buchadnezzar

@robjohn Hi =)

robjohn

@N3buchadnezzar Hey there. what's new?

N3buchadnezzar

I sort of got a differential equation thingy thangy... blushes

Peter Tamaroff

@N3buchadnezzar Ordinary or partial?

N3buchadnezzar

22:40

@PeterTamaroff Neither

N3buchadnezzar

23:02

I have problems figuring how to solve the second question

Peter Tamaroff

23:47

@N3buchadnezzar Could you do it?

Simon Sheehan

hey guys, what is the difference between < and ≤ ?

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