Mathematics - 2013-03-30 (page 3 of 4)

@GitGud I'll have one Choice meal please with an extra set of Fraenkel Fries, a non-empty packet of tomato sauce, one regular coke and a separate double-chicken burger.

Git Gud

8:42 PM

xD

I'm failing to understand the double chicken burger thing.

Jayesh Badwaik

@MattN. do you want coke in klein's bottle or a normal bottle?

Matt N.

Yes, because there is nothing to understand : )

@JayeshBadwaik Just a regular bottle. : )

@GitGud Better now? : )

Git Gud

@MattN. ^ ^

Jayesh Badwaik

@MattN. :-)

Matt N.

Well well, I'll see you all later! : )

Git Gud

8:46 PM

Bye.

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later

Charlie

9:10 PM

@κρανίοπεριπολία ;)

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@Charlie };)

Charlie

@κρανίοπεριπολία O};)

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A devilish angel? @Charlie

Charlie

@κρανίοπεριπολία yipyipyip

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@Charlie

Charlie

9:17 PM

@κρανίοπεριπολία Skull & Charlie

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2 mins ago, by Charlie

@κρανίοπεριπολία yipyipyip

@Charlie same answer

Charlie

Born to be wild

Dominic Michaelis

huhu

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Born to be alive

@Charlie

Charlie

@κρανίοπεριπολία yes, Skullpatrol

Hi @dominic

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9:21 PM

@Charlie :-D

Charlie

@κρανίοπεριπολία ;D

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@Charlie I like it when you call me by the complete name of "skullpatrol."

Charlie

@κρανίοπεριπολία ;) I like it whrn you call me Chucky

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$$\Huge\text{Chucky}$$

Dominic Michaelis

i am proofreading a script i think i find to many errors

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9:26 PM

@Charlie :D

Charlie

$\huge \text {SKULLPATROL}$

2

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yipyipyip

Charlie

@κρανίοπεριπολία :D

Carpediem

Can someone help me with this? math.stackexchange.com/questions/346808/…

Jonas Teuwen

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9:50 PM

$$\Huge\text{Jonas Teuwen}$$

Charlie

@JonasTeuwen hi, how are you??

@κρανίοπεριπολία Mr. Patrol

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@Charlie Ms. or Miss Chucky?

Charlie

@κρανίοπεριπολία miss, of course

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@Charlie Ms. used to be very popular.

Charlie

Hmm

Here is srta. Chucky

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10:00 PM

@Charlie Srta. Chucky

2

Charlie

Anyone here ever heard.of sequence almost constant?

@κρανίοπεριπολία Sr. Skullpatrol

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@Charlie The Raiders original name was the Oakland Señors.

Charlie

@peter hi, can you give me a tiny hand?

Peter Tamaroff

@Charlie I can go with medium-large.

But yes.

Charlie

@κρανίοπεριπολία oh!!

user43418

10:07 PM

@anon Do you know what is the expression for T here? math.stackexchange.com/questions/346808/…

anon

no, carpe failed to specify

user43418

It's impossible to find it without T right ?

@anon

anon

duh

I mean, correct.

user43418

@anon lol

Charlie

@PeterTamaroff I have to show that in a metric space with discrete metric every convergentsequence is "almost constant", I.e, there is x in X and n in N such that a_k=x forall k>n

anon

10:10 PM

pick an epsilon smaller than 1; then there is an N such that |a_n-a_m|<epsilon<1 for each n,m>N. Is it possible for any of the terms past N to be distinct?

Charlie

:-/

anon

err, I am thinking of cauchy sequence. just pick epsilon<1 and then there will be an N for which |a_n-x|<epsilon<1 for each n>N, and hence a_n is constant past N.

Peter Tamaroff

@Charlie OK, your metric is $d(x,y)=1$ if $x\neq y$, $d(x,x)=0$.

Yes?

Git Gud

So I've been listening to [this](http://www.nyan.cat/) for 25+ minutes straight.
Am I insane?

Peter Tamaroff

If $x\to x_n$ this means that $d(x,x_n)\to 0$ in the reals.

@GitGud You will be in a few minutes.

Git Gud

10:20 PM

I'm just happier and happier.

anon

that looks like an easter bunny

Peter Tamaroff

But $d(x,x_n)=1$ or $0$ for any $n$. Thus if $d(x,x_n)\to 0$, there exists an $N$ such that $d(x,x_n)=0$ for $n\geq N$, that is $x=x_n$ for $n\geq N$.

@Charlie

Remember that singletons are open in discrete spaces.

(actually, its an $\iff$)

@Charlie We good?

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Must have lost the connection again.

Git Gud

10:35 PM

@skull I can read you.

Peter Tamaroff

@anon Man,.

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