Mathematics - 2012-09-19 (page 3 of 5)

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7:03 PM

Seriously, I just got a downvote on math.stackexchange.com/a/191573/31475?

Or an up and a down at the same time

user19161

@EdGorcenski There are nutcases who downvote for strange reasons, like to change the order of answers or if it is not the shortest solution.

I think maybe it was more someone upvoting and then wanting to un-upvote

user19161

I have been the victim of the above downvotes many times.

user19161

I only downvote an answer if it is wrong or a question is it is unclear.

I am always downvoted

7:10 PM

I was downvoted once, but regained my reputation by deleting the post.

I'm not deleting a post with 32 upvotes :D

user19161

I deleted a post once on ELU with 4 downvotes.

Don't you get a badge for that?

I've often thought about intentionally writing a wrong answer, so I can delete the post and get a badge.

user19161

It was a very weird interpretation of things, but not wrong to me. The downvoters just did not have the genius to understand my interpretation.

Does deleting a post give a badge?

7:12 PM

I would, of course, never do such a thing. Often my stupidity is purely authentic.

math.stackexchange.com/badges/38/peer-pressure

Pantelis Sopasakis

@Matt Let $(X,\mathcal{A})$ be a measurable space and $\mu$ a measure thereupon. Then let $F(A)=\int_{A}f\mathrm{d}\mu$ -- where $A$ is a measurable set in $X$ and $f:X\to[0,\infty)$ is a measurable function -- is $\mu$-absolutely continuous. The inverse is provided by the Radon-Nikodym theorem. I think this is all how far one can get from there without any assumptions on $f$.

So close. I had -2 votes and I deleted it.

user19161

There was once I got two downvotes for a correct answer while the wrong answer got 10 upvotes.

user19161

After I edited it to bump it almost ten times, I finally got several upvotes.

user19161

I also downvoted the wrong answer myself.

user19161

7:15 PM

Hello @aarthi. What brings you here today?

Hi Math!

I wanted to let you know that we're having a small chat-party!

The Assembly

You know those boring town council meetings you never attend? ...

Come visit if you like :D

user19161

What???

It's a fun time. There might be Gangnam Style.

:D

@Aarthi Hmm, that

is not a small party.

okay so it's a big party

but it's a nerd party!

2

the best kind of party

later we might even play settlers of catan or something

7:21 PM

@Aarthi Oh good!

user19161

Hey @meand!

@JayeshBadwaik i aim to please. :)

@WillHunting Hello William!!!How have you been?

lol, William.

@GustavoBandeira quase levei um susto!

Gustavo Bandeira

7:24 PM

@MeAndMath ??

@ParthKohli why?

@GustavoBandeira boogie math

Gustavo Bandeira

@MeAndMath =)

Mas foi um susto logarítmico ou um susto exponencial?

user19161

@MeAndMath Bad bad bad, 3 bros here know my secrets though, but I won't say more in this room. Anyway, I think I will change my username back next week.

@GustavoBandeira $e^x$

Gustavo Bandeira

@WillHunting Change to a weirder name.

7:27 PM

@WillHunting Am I one of them?

Gustavo Bandeira

Like Potato lo Paco.

user19161

@JohnJunior Nope. If I did not email you some secret info, you are not.

@WillHunting stop it...

user19161

@MeAndMath Stop what?

@WillHunting with mistery (W)

7:28 PM

@Will Stop breathing.

user19161

@MeAndMath mystery

@WillHunting :D

Gustavo Bandeira

Bananery.

user19161

@MeAndMath Well, if you know what the mystery is, you will know why it is a secret...

@WillHunting c'mon...

Gustavo Bandeira

7:29 PM

@WillHunting Easy, just search the log!

user19161

@GustavoBandeira There is nothing there.

Gustavo Bandeira

Of course there is. I'm the moderator, I can see secrets in chat.

Search the log, William.

user19161

It is a mystery, but it is not a comedy. Rather, it is a tragedy.

Search the logs, Bill.

7:30 PM

user image

C'mon, now search the logs!

user19161

Anyway, I will reveal my secrets to more bros over time if I feel like it.

user19161

I am thinking who is next on my list...

A comic tragedy?

user19161

No, a real tragedy. Trust me.

It can't be that bad.

Gustavo Bandeira

7:32 PM

@MeAndMath Eu tenho impressão de que ele que pescar na curiosidade. xD

user19161

@JohnJunior I think it is much worse than any of you can possibly imagine.

@GustavoBandeira é,isso aí..num é nada.

@WillHunting Don't try and tell me what I can and can not imagine.

No Na'vi language, please. @MeAnMath @GustavoBandeira

Gustavo Bandeira

@JohnJunior HEY YO! AVRIL LAVIGNE!

7:34 PM

If people do not speak English here, I will flag them. I am serious!!

user19161

@GustavoBandeira Is that a song?

@ParthKohli Oel ngati kameie

Let's freak out!!!!!!Aqui tem um bando de louco!

Gustavo Bandeira

@WillHunting Yep.

user19161

What language is that now?

Gustavo Bandeira

Kanabuie shabora partogli.

7:36 PM

lol, that is the real Na'vi language.

Gustavo Bandeira

Kaburarti cachaçari si traveco pinto sosco!

user19161

I only know Eng well.

Same here

@GustavoBandeira XD

I know portuguese, english and spanish and I'm learning Deutsch.

Gustavo Bandeira

@MeAndMath What about Klingon?

7:37 PM

मुझे हिंदी भी आती है. :)

user19161

I should play a game with meandmath, like this. (M)

@GustavoBandeira I tried to learn elvish...

user19161

@MeAndMath Are you an elf?

Gustavo Bandeira

Me and math: I know english, Javanese, Spanish, Japanese, Chinese and Akkadian!

user image

@WillHunting yes.

7:38 PM

@ParthKohli However did you type that?

user19161

@GustavoBandeira You sure?

Gustavo Bandeira

@WillHunting Not much.

@GustavoBandeira Javanese? I thought the name of the language is Java. :P :P

@Jayesh: Transliteration. (not the same as translation)

user19161

@JayeshBadwaik That is the island.

Gustavo Bandeira

7:39 PM

@JayeshBadwaik Javanese - Is Java in Japanese... Learn things straight, dude...

@WillHunting Java is also a language.

user19161

@ParthKohli Or transposition.

user19161

@JayeshBadwaik I know, as well as coffee.

Gustavo Bandeira

Transposition to the key of G# major.

user19161

Hey @johnjunior mind changing your name so that it does not get too confusing?

7:41 PM

Yup, so, why should that language be not considered as the one you know?
"Is epsilon a hero, just because it is to the right of zero? We must fight for an enlightened calculus, where every epsilon has a delta to call their own!!.) ***Same for languages***

@WillHunting John Senior is on vacation so what's the confusion?

user19161

@JohnJunior He's gonna return!

Gustavo Bandeira

I went to lunch today with a 2 friends, and I mentioned that I'm usually here at SE. One of the guys asked: "What's SE?" the other replied: "It's a meeting place for nerds" - I looked at him with fire in my eyes: "WTF?! SE IS A PLACE FOR HIPSTERS!"

@GustavoBandeira LOL

@WillHunting Maybe I'll leave then.

user19161

7:43 PM

@JohnJunior No...

@JohnJunior Noooooooooooooooooo.

@GustavoBandeira today a number from Pernambuco called me...

Gustavo Bandeira

@MeAndMath 9720 1797?

user19161

@GustavoBandeira Nerds can be hipsters.

user19161

@MeAndMath For?

7:44 PM

@GustavoBandeira no

@WillHunting what?

Gustavo Bandeira

@WillHunting Venn diagrams for nerds/hipsters?

user19161

@GustavoBandeira Is that your number?

Gustavo Bandeira

@WillHunting Yep.

I guess you need area code.

@GustavoBandeira May be I will call you then.

Gustavo Bandeira

+55 81 9720 1797

user19161

7:45 PM

I will definitely not spend money on overseas calls. Emails will do

@GustavoBandeira give your adress,Id number,CPF...

@WillHunting @JayeshBadwaik I'm beginning to think that Matt is right:

$\Huge\text{This is the black hole of productivity}$

Gustavo Bandeira

@MeAndMath What did the guy from Pernambuco told you?

user19161

@JohnJunior I am here only because I am not doing any serious stuff anyway.

@GustavoBandeira the call was rejected.

@WillHunting So help out here!

user19161

7:47 PM

@MeAndMath If I can. I help out with the elementary problems!

@WillHunting listen

@JohnJunior It is. I have been trying to complete an exercise for past half an hour, have got nowhere. Must leave this place soon!!

Gustavo Bandeira

@MeAndMath I guess you thought it was me. xD

user19161

@JayeshBadwaik You cannot leave a BLACK HOLE

@JayeshBadwaik The thing is you will not be able to do any serious stuff as long as you're here. @WillHunting

user19161

7:49 PM

@JohnJunior No, for me it is the other way round like I said. If I have serious stuff to do, I won't be here!

@JohnJunior Yup, so I am now going, see you guys later.

later

$f$ is a function defined in an interval $I$.Suppose that exists $M>0$ and $\alpha>1$ such that:
$$|f(y)-f(x)|\leq M|x-y|^\alpha$$
$\forall x,y\in I$.Show $f$ is constant.

@GustavoBandeira yes...

Gustavo Bandeira

@MeAndMath Haha

How would I discover it? Simplifying expressions in order to get your number?

@WillHunting So go and try and do some serious stuff and see how long you last.

user19161

7:52 PM

@JohnJunior Hehe, maybe that's why you said you were in rehab...

@WillHunting And I didn't last...

Gustavo Bandeira

@WillHunting Lookout!

user image

@GustavoBandeira NOOOOOSSSSSAAAAAAAA

@GustavoBandeira Full access to Hunting's secrets.

user19161

@MeAndMath Do you know the result that a differentiable function on an interval with zero derivative is constant?

@WillHunting yes

user19161

7:56 PM

@MeAndMath Now just divide both sides by the modulus of x-y and work from there.

@WillHunting are you sure?

user19161

@MeAndMath Well, you try it first.

user19161

Fix the y and let x go to y.

@WillHunting I believe that after you watch "A Brief History of Time" your "tragedy" will seem insignificant.

user19161

@JohnJunior Nope, I think there are different tragedies and one can't really compare.

user19161

7:59 PM

You can't compare a man who lost an arm with one who lost a leg and say which is worse.

@WillHunting I'm not saying that.

Gustavo Bandeira

John is a tragedy destroyer - He wants to deny tragedies for fun.

user19161

@JohnJunior Just an example. :-)

@WillHunting You have to watch it to understand what I mean :)

user19161

So I always try not to trivialize others' problems.

user19161

8:00 PM

@JohnJunior OK OK.

@GustavoBandeira Can't stop looking to that question

user19161

@meandmath Have you done that question?

Gustavo Bandeira

@MeAndMath A do simplify?

@GustavoBandeira y

Gustavo Bandeira

Hoje eu vi uma do cara perguntando o que era base 18.

8:02 PM

@WillHunting I'm trying,Mr.Hunting.

@GustavoBandeira I don't want to destroy tragedies I just want to put them in perspective.

Gustavo Bandeira

Pra eu que achava que sabia de nada...

user19161

@MeAndMath OK, like I said, fix the y and let x go to y after dividing both sides by mod of x-y.

Gustavo Bandeira

@JohnJunior Master Yoda taught us to never put tragedies in perspective, in his wise words: Eggplant for no four of you.

@GustavoBandeira I'm not sure if there is a translated version of the movie but it is nothing to joke about.

user19161

8:06 PM

@MeAndMath Also, try to apply squeeze theorem and the fact that something goes to 0 iff its modulus goes to 0.

@WillHunting What would the dimension of the vector space $\mathbb R^{\mathbb N}$ be?

I have dimension defined based on the base of a vector space, but I don't know if the base for that space is finite,

And I only know about finitely generated vector spaces.

user19161

@PeterTamaroff Is that the space of all real sequences?

@WillHunting Yes.

user19161

@PeterTamaroff I think the dimension would be the cardinality of the natural numbers then, countably infinite.

@WillHunting Yes, I think so too.

user19161

8:12 PM

A basis would be (1,0,0,...), (0,1,0,...),...

@WillHunting But then, let $S=\{(u_n):u_{n+2}=u_{n+1}+u_n\}$

This is a subspace of $\bf R^N$

I want to find it's dimension.

user19161

@PeterTamaroff Proper subspaces need not have lower dimension in the case of infinite-dimensional vector spaces I think.

user19161

However in the case of finite-dimensional vector spaces that is true.

@WillHunting I just think it has the same cardinality as $\bf R^N$

user19161

@PeterTamaroff That would be so if and only if it is also infinite-dimensional.

8:14 PM

Each sequence is uniquely determined by the pair $(u_1,u_2)$

user19161

Countably infinite is the smallest infinity.

Gustavo Bandeira

@MeAndMath Cê achou que eu tinha ligado - não era eu - mas você recusou a ligação. Porque cê me odeia? =/

@GustavoBandeira I don't hate you!My phone rejects unknown numbers.But I realized it wasn't you because you could'nt possibly know my number.But I don't hate you.I don't hate anyone.

Gustavo Bandeira

You hate me. =/

Everybody does 8-(.

8:19 PM

@GustavoBandeira I don't.Trust me

@JonasTeuwen Hi,Jonas.You suddenly appear...

Gustavo Bandeira

You're no good

@MeAndMath Yes. Whenever the chat is about hostilites against me...

@GustavoBandeira No,no,no no!

@GustavoBandeira não sou hostil contigo.

Gustavo Bandeira

Não, ele. xD

@GustavoBandeira Is that you... is that you in the picture?

You look like a drug lord.

user19161

@JonasTeuwen Yes.

8:22 PM

A killing machine.

Creep.

Gustavo Bandeira

@JonasTeuwen Yep. That's me. =)

I find Jonas very curious..

Cool!

@MeAndMath Why?

Gustavo Bandeira

Drug lord FTW!

user19161

@meandmath Specifically, divide both sides by mod of x-y, bound the left side by 0, apply squeeze theorem to conclude that the middle term goes to 0 as x goes to a fixed y, then the derivative is 0 everywhere, then the function is constant. QED.

8:24 PM

@WillHunting I would say "Trivial. QED.".

Kinda.

user19161

@JonasTeuwen I am surprised I can do it after not doing math for 9000 years!

I have not done it in two months or so.

@JonasTeuwen Well,You claim to be stupid,when it's obvious,you are not.It's rare among mathematicians that kind of behaviour.And I think you are often Ironic...sometimes,too much.It's an intersting type of humour...But I don't see your expression or hear your voice...can't say.

My expression is very neutral. Some people call me a creep because of that.

user19161

@MeAndMath Jonas is too sexy to be heard and seen!

2

8:25 PM

But I am stupid.

@JonasTeuwen Hey, dawg.

Sup nigga.

Wigga.

@JonasTeuwen Need some help with $\bf R^N$

user19161

Oh no!

Is it's dimesion $\aleph_0$?

8:26 PM

Jonas is sexy:everyone agrees on that.But about stupidity,I don't..

user19161

@PeterTamaroff its

@MeAndMath So there are things to rectify!

user19161

These days I just talk about Jonas and I get stars, how wonderful!

@Gustavo Eu não te odeio,tá?

@JonasTeuwen Now, what is the dimesion of $S=\{(u_n)\in {\bf R^N}:u_{n+2}=u_{n+1}+u_n\; ;\;\forall n\}$?

user19161

8:29 PM

@peter That subspace is the set of all Fibonacci sequences eh?

Gustavo Bandeira

@MeAndMath Odeia sim. =;

@WillHunting Kinda.

@PeterTamaroff It does not make sense.

@GustavoBandeira Não,não odeio.Que o faz pensar que sim?Se o odiasse não o levaria em cionta,não conversaria contigo...

Is it even a subspace?

8:29 PM

@JonasTeuwen What doesn't make sense?

@JonasTeuwen It is.

I've checked it.

user19161

@JonasTeuwen Just abuse of notation. Fibonacci.

Oh.

So you want to know $0$ or $1$?

${\bf 0}\in S$
$v,w\in S\implies v+w=S$
$v\in S\implies \lambda v\in S$

Other things are not possible unless you are considering covering dimension or small or large inductive dimension or crazy topological stuff.

@JonasTeuwen Huh? I want to nkow what is it's dimesion.

8:31 PM

Oh, wait, it is a space of sequences.

user19161

We are now just asking about the dimension of Fibonacci space.

So first question finite or infinite.

Caaardinalityyyy.

user19161

So let's find a basis!

Let's just grab a beer.

Wadafuq.

@WillHunting I think it has dimesion 2!

user19161

8:32 PM

@PeterTamaroff Why?

@GustavoBandeira Oras!

$\langle \phi^n ,\phi^{-n}\rangle =S$

user19161

@PeterTamaroff What is phi?

@WillHunting $1.618....$

Gustavo Bandeira

@MeAndMath =)

8:33 PM

The golden rrratio.

@PeterTamaroff isn't 1,618

user19161

@PeterTamaroff I don't know what that is. I know nothing about Fibonacci!

user19161

Come on, we are talking about sequences here!

@WillHunting That is bad and you should feel bad.

@JonasTeuwen é isso aí!

Vamos falar port pra enxer o saco...

8:37 PM

Bleh, I have to go off to give a tennis class.

And the weather is horrible

Bye, silly people.

@PeterTamaroff Bye,Pedro!

Gustavo Bandeira

XD

Naquele dia cê falou: "Brasileiro gosta de zuar" - eu subentendi que cê não gostava. xD

Vamos zuar!

não como os outros...

depende o que é zuar...

Jonas is so parsimonious with words...

Gustavo Bandeira

O feeling dos caras

As armas e os barões assinalados,
Que da ocidental praia Lusitana,
Por mares nunca de antes navegados,
Passaram ainda além da Taprobana,
Em perigos e guerras esforçados,
Mais do que prometia a força humana,
E entre gente remota edificaram
Novo Reino, que tanto sublimaram;

Gustavo Bandeira

8:43 PM

De onde?

OS LUSÍADAS

Gustavo Bandeira

"Depende do que é zuar" - Apelou pra redefinição. xD

user19161

@PeterTamaroff I think it is dim 2. Take (1,1,2,3,...) and (1,2,3,5,...). They are linearly independent. For any Fibonacci sequence (a,b,a+b,a+2b,...) set A+B=a and A+2B=b so that B=b-a and A=2a-b. Then A(1,1,2,3,...)+B(1,2,3,5,...)=(a,b,a+b,a+2b,...)

@GustavoBandeira DAQUI A POUCO VÃO NOS BANIR XD

user19161

@jonas I solved Peter's problem, see above.

user19161

8:46 PM

I also solved meandmath's problem, yay!

@WillHunting How does that prove it is not larger than 2?

Gustavo Bandeira

@MeAndMath Eu num vô receber um e-mail pedindo pra voltar.

@MeAndMath What?

user19161

@JonasTeuwen Hmm, read the proof carefully...

@JonasTeuwen what what?

8:47 PM

@WillHunting Hmm.

@MeAndMath Yeah.

@GustavoBandeira eu peço pra você voltar e você pede para mim! :D

@JonasTeuwen that you are parsimonious?

user19161

@JonasTeuwen The trick is, the first two numbers determine a Fib sequence!

Gustavo Bandeira

@MeAndMath Eu chamo todo mundo pra minha sala lá. Aí eu dou ban e kicko todo mund, só de zuá.

@GustavoBandeira hehehehe

user19161

@meand Do you understand the solution I gave you?

8:48 PM

@MeAndMath Ye.

@WillHunting Think I did...

@JonasTeuwen you are economic with words

@WillHunting Ah, nice. Sleepy.

@MeAndMath I don't like economics.

Give me all the money and then go fy.

Or so 8-)))).

you're niggard with words

you talk too little

Jaakko Seppälä

I was asked is there a standard definition of triangle or are there several? I have only one geometry paper where triangle is defined one way.

user19161

I think you guys should post the question on the main site next time after we solve it here so that I can earn some rep!

8:51 PM

@WillHunting MWAHAHAHA

@MeAndMath I talk too little? Sometimes I talk to much. I am never good 8-(((.

user19161

@JaakkoSeppälä How is it defined?

@JonasTeuwen you talk too much but in other meaning

Do explain you mysterious woman!

@JonasTeuwen I am not mysterious

Gustavo Bandeira

8:53 PM

@MeAndMath Mai tu qué porque qué, né? XD

Yes you are. You are. Tell me! When do I talk too much. Too much!!!

user19161

M for Marilyn, M for mysterious!

Jaakko Seppälä

@WillHunting If I remember correctly, simply take three point that are not in the same line

user19161

J for Jonas, J for Jasper, J for joker, J for jester.

@JonasTeuwen you are like an arrow..

8:54 PM

@MeAndMath Explain.

I am not that thin :s.

Stop mocking my physique.

user19161

@JaakkoSeppälä And then join them pairwise?

For I am the Hulk (in blue).

@JonasTeuwen a little accurate.you say too little but hit the target

Jaakko Seppälä

I have to check

@WillHunting you will never see my face.Mwahahaha

user19161

8:55 PM

@JaakkoSeppälä I am no expert in geometry, but I think that's the only definition I would think of.

user19161

@MeAndMath Er, I did not say I want to see it, mwahaha.

@MeAndMath Cool!!

@GustavoBandeira que que eu quero?

Gustavo Bandeira

@MeAndMath Que será?!

@GustavoBandeira o quê???

Gustavo Bandeira

8:58 PM

@MeAndMath Djivinha.

@GustavoBandeira eu não tenho bola de cristal...

Gustavo Bandeira

Porra, isso é óbvio....

@GustavoBandeira o que,cacete

Jaakko Seppälä

@WillHunting I think that is the only definition but on the other hand, there are different geometries like hyperbolic, Euclid so I was just wondering.

Gustavo Bandeira

@MeAndMath Tarefa de casa: Faça uma redação de 30 linhas sobre o que você acha que deve ser.

user19161

8:59 PM

@JaakkoSeppälä Ah, maybe you can post on the main site then. I know nothing :-)

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