Mathematics - 2014-06-23 (page 5 of 6)

Studentmath

20:00

Sure it is, google will tell you to just use google instead - fixed.

Hippalectryon

@Studentmath Not without tools :/

Or do you want me to open my computer with my teeth ?

Daniel Fischer

@Studentmath Workaround $\neq$ fix.

Studentmath

Don't you have some tools at home?

Hippalectryon

I'm not at home

I'm in internship

Ted Shifrin

Some of us are better at breaking than at fixing ...

Studentmath

20:01

@Daniel point taken

G.T.R

@Ted enough analysis for today. And for the linear algebra question, primary decomposition kills it

Ted Shifrin

I wanted an elementary argument !

G.T.R

@Ted in French education, the theory of eigenvalues/diagonalizability stands on primary decomposition (it's the very first thing we learn !)

Ted Shifrin

Using just partial fraction decomposition :)

Well, fine then ... :D

Hippalectryon

@G.T.R Uh ?

G.T.R

20:04

@Hippalectryon ?

Hippalectryon

@G.T.R it's the very first thing we learn ! c'est en Spé ?

G.T.R

oui

Hippalectryon

Ah ok

Studentmath

Scared to even try another test.. and the exam is in a week

Mike Miller

20:24

@Studentmath How old are you, and what's the drinking age in Israel?

Studentmath

18, 18

Mike Miller

I bet you a beer you'll do great

skullpatrol

what is the gambling age?

Mike Miller

this is internet gambling, perfectly legal

skullpatrol

:-)

Studentmath

20:28

18 as well!

Heck, I will bet - at least I get something eitherway, that way

I will mail you an Israeli beer if all goes well

Mike Miller

And the same to you

skullpatrol

I am the witness.

Pedro Tamaroff

:16236603

skullpatrol

If you don't pay up, skullpatrol will be knockin' @ your door

Mike Miller

A friend of mine makes this bet every time he has a hard test... he ends up out a lot of beer, but he doesn't seem to mind

Studentmath

20:35

It is somewhat calming

G.T.R

@Hippalectryon what's your solution to the functional inequation ?

Hippalectryon

@G.T.R You don't expect me to give you the answer do you ;) - But i/@balk can help you :D

I never give out answers to the problems i like

And i expect people to do the same

What have you found so far ? @G.T.R

(I was stuck a long long long time on it btw, but @balk solved it in like 15 minutes :/ i felt bad)

G.T.R

I dislike his solution

robjohn

@PedroTamaroff I guess you need some content to make it work.

@G.T.R whose solution?

Pedro Tamaroff

@robjohn Ah?

Hippalectryon

20:43

@G.T.R :O you looked at it ?

cheaturz

Daniel Fischer

@PedroTamaroff _

Pedro Tamaroff

@DanielFischer Hello!

robjohn

@PedroTamaroff your comment to Mike Miller that failed

Daniel Fischer

@PedroTamaroff Buen dia.

G.T.R

@Hippalectryon unless it's something without Lebesgue integral ?

Hippalectryon

20:45

@G.T.R I haven't even seen Lebesgue's integrals yet

@balk's answer is from like a week ago

Mike Miller

@Hippa Every time you put the @ there it pings him

G.T.R

by balk you don't mean Balarkasen ?

Hippalectryon

Yep

Mike Miller

If you don't want to get his attention you shouldn't @, it can be annoying

Hippalectryon

But i'm too lazy to go get his full username :P

Tom Cruise

20:50

hi there

do I need to change my name back? Will someone get upset?

skullpatrol

I haven't seen Tom Cruise in here complaining ;-)

Tom Cruise

hehe, ok, well if Tom Cruise joins this site I will change it

why is the site not loading now

Daniel Fischer

@TomCruise Ah, I feared it was only me.

Ping says: PING math.stackexchange.com (198.252.206.140) 56(84) bytes of data.
From 88.79.26.197 icmp_seq=1 Destination Net Unreachable

Tom Cruise

guess I needed a break anyway...

G.T.R

@Hippalectryon his solution is flawed

Hippalectryon

20:55

@G.T.R I knew it :D

@G.T.R I told him something was missing

But i couldn't see what

I believe you can't get to the solution without using the fact that's it's strictly increasing, which he didn't do

Daniel Fischer

@Hippalectryon What problem?

G.T.R

that's irrelevant... he assumed continuity at some point

Tom Cruise

oh so that problem is still unsolved?

Hippalectryon

@G.T.R xD

@TomCruise Nope

It was solve long ago

Actually i solved it

Then i posted it on MSE to get a shorter answer

I got a one line solution now :D

@G.T.R Then find the right way to do it ;-)

Tom Cruise

Could we assume the function was differentiable, or no?

G.T.R

20:58

@DanielFischer find all $f:\mathbb{R}\rightarrow\mathbb{R}$ such that $\forall (x,y)\in\mathbb{R}^2,\ f(x+y^2)-f(x)\geq y$

Tom Cruise

we are talking about the fixed point problem, right?

Hippalectryon

@DanielFischer find all $f:\mathbb{R}\rightarrow\mathbb{R}$ such as $\forall (x,y)\in\mathbb{R}^2,\ f(x+y^2)-f(x)\geq y$ @TomCruise

Ah

Tom Cruise

@Hippalectryon

Hippalectryon

@G.T.R was quicker

Tom Cruise

Oh I thought we were talking about something different

G.T.R

21:00

@DanielFischer what do/did you do for a living ? Not that I want to meddle in your privacy, but I can't take any guess (you said you're not a programmer)

Chris's sis

I wanted to watch the new $300$ movie, but I preferred to create a new problem ...

Daniel Fischer

Contract killer.

3

G.T.R

@Chris'ssis watch the Budapest hotel thing instead, it's worth it

Hippalectryon

@G.T.R what is that ?

G.T.R

The Grand Budapest Hotel

| language = EnglishFrenchGerman | budget = $31 million | gross = $161,867,037 }} The Grand Budapest Hotel is a 2014 comedy film written and directed by Wes Anderson and inspired by the writings of Stefan Zweig. It stars Ralph Fiennes as a concierge who teams up with one of his employees to prove his innocence after he is framed for murder. The film is a British-German co-production financed by German financial companies and film funding organizations, and was filmed entirely on location in Germany. Plot In the present, a teenage girl approaches a monument to...

Hippalectryon

21:03

They should make a film where an infinite number of cars filled with infinitely many annoying french people come into a totally full hotel with infinitely many rooms, and how they manage to find a room for everyone :D

skullpatrol

@DanielFischer How much per contract?

Daniel Fischer

@skullpatrol Depends. There'll be a discount for my first contract, so if you're quick, it may not be too expensive.

Hippalectryon

@Chris'ssis Do both :D

G.T.R

►

this is what awaits you,Daniel, if you go that way

Chris's sis

@Hippalectryon :D

Daniel Fischer

21:07

@G.T.R Nah, I take Natalie Portman, like Jean Reno.

Chris's sis

This is for fun (mainly) $$\int_0^1 \sum_{n=1}^{\infty}\log\left(\frac{1}{\sin^2(\pi x)}\right)\cos(2 n^2 \pi x) \ dx$$

Hippalectryon

@G.T.R I like that video

G.T.R

I like the song better but the vid is OK

Hippalectryon

The vid is funny

I've got a better one tho :c let me find it

G.T.R

The girl looks a lot like Vanessa Paradis, but I can't tell for sure

mick

21:18

TO MUCH VIOLENCE HERE

Chris's sis

@G.T.R what do you think about the question above? May I swap the integration and summation? I see no Ted around to ask him the same question.

mick

bye

Chris's sis

@r9m I see you hidden under some mist on the right panel (I barely see you) :-)))

Hippalectryon

@G.T.R aah that's the one

►

Chris's sis

OK, it's time to see the first 15 minutes from $300$ (I cannot watch more in a single day or?).

G.T.R

21:23

chat was down for 10 minutes for you as well ?

Ted Shifrin

so I see the site is down ... again ...

Hippalectryon

Maybe it was overheating :D

Ted Shifrin

has @Hippa burnt to a crisp yet?

oh, apparently not

Hippalectryon

@TedShifrin Don't worry i have some lives left

Ted Shifrin

I hope so, @Hippa.

r9m

21:26

@Chris'ssis :D .. Hi super sis I'm cooking something and watching Bra-Cmr match :)

Ted Shifrin

I'd hate to have to go to your funeral before I'd even met you !

Hippalectryon

@r9m xD auto-tab much ?

@TedShifrin Don't worry you probably won't be notified if it happens :P

r9m

@Hippalectryon ?

Chris's sis

@r9m Hi there :-) What's your favourite team? :-)

Ted Shifrin

I think @GTR would notify me, @Hippa ... :D

Hippalectryon

21:27

@r9m you had writte @Hippa instead of @Chris'ssis :D

@TedShifrin True, he could know by asking my prep school... though i doubt he would do that :P

r9m

@Chris'ssis I'm an Arg/Ned Supporter .. but if they meet in a match I'll be supporting Ned :P

Ted Shifrin

C'est vrai, @Hippa. On s'en fout de toi, évidemment.

Chris's sis

@r9m I see ...

Hippalectryon

Je star ou je flag ? :D

r9m

@Hippalectryon :P .. sorry .. wrong button :P

Ted Shifrin

21:29

LOL ... ni l'un ni l'autre

Tom Cruise

woohoo

site running

Hippalectryon

@TomCruise Where to ? :D

Enjoys Math

got laid

3

^_^

Tom Cruise

wow, ok

Enjoys Math

did you use to be com truise?

Alizter

21:32

The chat bugged out because I was out for a bit. All I saw was @TedShifrin : got laid

Ted Shifrin

now wait a minute, @Alizter ...

Enjoys Math

I might have impregnated her, not sure yet

Charlie

@Alizter i thinkso , at least it was weird for me i couldn't connect

Ted Shifrin

heya @Charlie

Charlie

@TedShifrin hello theodore

Hippalectryon

21:33

@EnjoysMath her ?

Enjoys Math

yes

Hippalectryon

Who ?

Charlie

@TedShifrin how are you?

Enjoys Math

Her name is Lorianne. Pretty sure it's safe to say that here, right?

Ted Shifrin

I'm doing pretty well, @Charlie ... my summer is half gone ... how are you?

Hippalectryon

21:35

@EnjoysMath I mean, who are you even talking about ?

I just saw a 'her'

Enjoys Math

what

Hippalectryon

Idk the context

Charlie

@TedShifrin fine, just lot nervous

Ted Shifrin

@Hippa: It was his own her.

Charlie

@Hippalectryon just never mind

Ted Shifrin

21:36

why, @Charlie?

Hippalectryon

Err ......

Enjoys Math

maybe the chat filter took out my message

Charlie

@TedShifrin I have an exam

Hippalectryon

did you use to be com truise? - I might have impregnated her, not sure yet

^ ??

Enjoys Math

what

G.T.R

21:36

scroll up

Ted Shifrin

@Charlie: Be confident. You'll do much better that way.

Salut @GTR

Enjoys Math

Two unrelated statements, Idk who com truise is

Charlie

@TedShifrin D:

Hippalectryon

OOOOoooh ok

G.T.R

@EnjoysMath are you ready for child support and STDs ?

@Ted bonsoir

Enjoys Math

21:37

thanks for killing the romance

G.T.R

@EnjoysMath I didn't see any romance

Enjoys Math

Oh

Charlie

-_-

r9m

sigh

Alizter

@EnjoysMath So why tell us?

Enjoys Math

21:39

because she doesn't want me to tell anyone so I figure you guys are far enough away that it's ok

Alizter

Was she conscious and over the age of consent?

Chris's sis

I want to propose a very interesting double integral ...

Enjoys Math

She was 33, I'm 28

Charlie

i believe you should have kept it for yourself @enjoys

Ted Shifrin

ooooh, a different sort of proposition

G.T.R

21:40

is it some no-strings attached relationship ? @EnjoysMath

Alizter

@Chris'ssis DO IT

Charlie

@skull

r9m

@Chris'ssis where ? :D

Alizter

My computer is going to die soon. I tried generating $S_7$

Hippalectryon

@Chris'ssis Make sure to add 300 in it

Enjoys Math

21:41

She is 33, but she will be turning 34

Ted Shifrin

@Alizter: It can join @Hippa's on the trash heap.

skullpatrol

@Charlie

Hippalectryon

@Alizter Mine is already dying

Charlie

@skullpatrol how is it going?

Alizter

Eh 16 gb of ram shouldnt be in the trash

skullpatrol

21:42

@Charlie Fine thanks, how are you?

Tom Cruise

yes I changed my name again, some are not happy with it, but I dont care :)

Charlie

@skullpatrol fine i think, thanks

Ted Shifrin

Since I have no idea who you are, @TomCruise, I have no opinion.

heya @skull

skullpatrol

@TedShifrin Hello Professor

Chris's sis

This is newly created. Find the closed form of $$\int_0^1 \int_0^1 \left \{\operatorname{arccot}\left(\frac{x}{y}\right)\right \}\left \{\operatorname{arccot}\left(\frac{y}{x}\right)\right \} \ dx \ dy$$
where $\{x \}$ - the fractional part of $x$

Tom Cruise

21:43

For all you know Tom Cruise likes to browse MSE

Ted Shifrin

@Chris'ssis: $=$

Tom Cruise

and likes to refer to himself in the 3rd person

Hippalectryon

@Chris'ssis That's mad as always

:D

Ted Shifrin

So 'twould seem @TomCruise.

Balarka Sen

i hate to interrupt but

katiestringer.files.wordpress.com/2014/04/original.gif?w=690

Chris's sis

21:45

@TedShifrin What that symbol means? ": ="

Ted Shifrin

@Chris'ssis: When you define $\{x\}$, it should be $ = $ whatever ...

@Balarka: You're gone, remember? Another 7 days.

Alizter

@TedShifrin I think it is defined just putting into context?

Balarka Sen

i am gone, but i am going to do this prank here time to time, @TedShifrin

byes.

Ted Shifrin

one defines by the word "is" or the symbol "$=$" :P

No, @Balarka. You're banished.

Mike Miller

@Ted I'm reading some about Lie groups. It's neat. The Lie algebra feels impossibly successful and powerful.

Charlie

21:47

what's new @skull ?

Ted Shifrin

"impossibly successful and powerful"??

Chris's sis

@TedShifrin you're right.

skullpatrol

@Charlie chillin' ... how 'bout you?

Ted Shifrin

I was being picky, @Chris'ssis ... But I know you take pride in what you write.

G.T.R

does that look non-trivial to someone else ? math.stackexchange.com/questions/845124/…

Chris's sis

21:48

@TedShifrin :D

Charlie

@skullpatrol dunno kinda weird

Ted Shifrin

Yes, @GTR, seems quite nontrivial. I have no earthly idea.

skullpatrol

@Charlie too much world cup hype?

Charlie

@skullpatrol nono, it's not that

skullpatrol

@Charlie don't believe the hype

Chris's sis

21:51

I'll also consider $$\int_0^1 \int_0^1 \int_0^1 \left \{\operatorname{arccot}\left(\frac{x}{y}\right)\right \}\left \{\operatorname{arccot}\left(\frac{y}{z }\right)\right \} \left \{\operatorname{arccot}\left(\frac{z}{x}\right)\right \} \ dx \ dy \ dz$$

Mike Miller

@Ted It works too well! It does too much!

Charlie

@skullpatrol hehehe

Alizter

I have now switched to non graphical rendering of cayley tables so that they are generated and saved. You can view them when they are done. It is especially useful for groups of order $7!$ cough $S_7$

Chris's sis

@TedShifrin yeah, typing things fast ... :-)

Ted Shifrin

Well, groups are rather special beasts, @Mike. Structure constants of the Lie algebra are all-knowing :D

Mike Miller

21:52

An algebraic (combinatorial) construct like that shouldn't be able to keep track of all the geometry you lost...

Hippalectryon

@Alizter Why is it so heavy ?

Mike Miller

"lost"

Ted Shifrin

I don't know why you say combinatorial, @Mike, unless you're doing weights for representation theory.

skullpatrol

@Charlie kinda surprised that OldJohn doesn't come here anymore :(

Charlie

@skullpatrol no one comes here anymore

Mike Miller

21:55

@Ted I tend to think of discrete things (with finitely many possibilities) as combinatorial. Probably that's bad terminology. Oops.

r9m

@G.T.R I don't think so :-)

Mike Miller

Scratch "with finitely many possibilities".

Ted Shifrin

@GTR: I put what I believe is a non-stupid comment.

r9m

I would get more motivated in answering questions ... only if I knew which are the hot users :P lol

G.T.R

@Ted maybe he should do as you suggest and then try expanding $f$ as a power series and find some relation between coefficients

Ted Shifrin

21:59

Well, we need to look at the differential equation we get and see if it has ordinary singular points, etc. But, yes, @GTR, that would be a plausible suggestion.

@r9m: That definitely would depend on the eye of the beholder.

Charlie

@skullpatrol :'(

Transcript for

$Mathematics$ Mathematics