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8:00 PM
That's new to me, I'm not sure that every ball is totally bounded
 
@BalarkaSen I'm pretty sure that fails e.g. in infinite-dimensional Banach spaces.
 
@ACuriousMind Can you give an example? Now that I think about it, it's probably not so clear.
Maybe it fails in function spaces.
 
@BalarkaSen I just don't see how you want to get the finiteness - the balls in infinite-dimensional spaces are not compact
 
The unit balls in a generic metric space are not compact @ACuriousMind ...
 
@BalarkaSen Yes, function spaces are the prime examples of the type of spaces I'm talking about
@0celo7 So?
 
8:05 PM
It's not a phenomenon special to function spaces
 
No, but you can examine such claims much easier by counterexample than by thinking about "generic" metric spaces
 
ok, @ACuriousMind, do you know what N-O are trying to say?
they say that the open 1/3 balls of the metric space are precompact
I understand their proof of that
but how does that imply completeness?
A Cauchy sequence does not have to be contained in such a ball
 
@0celo7 OK, it's still true that unit ball is compact implies every ball is compact. Scale it.
 
Scale it?
 
Eh, no, the scaled metric may not have that property. Scrap that.
I give up.
 
8:12 PM
@0celo7 Chop off the part of the Cauchy sequence with distances larger than 2/3, it stays a Cauchy sequence and if it converges, the original sequence also converges (since you chopped off finitely many elements)
 
...yes...
 
The chopped off sequences now converges if the open ball is precompact, since compact metric spaces are complete, so the closed ball is complete as a metric space hence the chopped off Cauchy sequence converges, no?
 
Ok if I cut off those terms, how do I find a unit ball that contains the sequence
just pick any of the terms as a center?
 
Well, it's probably easier to chop off to distance 1/3 and just pick any point of the remaining sequence as center
 
why 1/3
 
8:16 PM
...because you had given that 1/3 balls are precompact?
 
oh, I can probably just scale the metric, no?
 
What?
 
@ACuriousMind what's your avatar
it was troll before.
 
if $B$ is a 1/3 ball wrt. $d$, then $B$ is a unit ball wrt. $3d$.
 
@BalarkaSen Kreia from KotoR 2
 
8:17 PM
or $d/3$
 
@0celo7 Yeah, but why do you want to scale anything
 
something
@ACuriousMind Because unit balls are nicer than 1/3 balls.
more aesthetically pleasing.
 
Given that balls with radius $r$ are compact, just chop off the Cauchy sequence to distances less than $r$. Nothing in my argument relies on the value of $r$.
 
@ACuriousMind I had to google what that is.
 
I like pretty numbers
@BalarkaSen agreed, video games are boring
 
8:18 PM
@BalarkaSen I expected that ;)
 
it's time for a new avatar for me
I literally have no clue what the fuck this line means in my EM lab
"Estimate the change in the light emitted from bulb #1 when the second bulb was added? 1X, 2X, 3X, 4X, 8X, 3/4X, 1/2X, 1/3X, 1/4X, 1/8X?"
ohhhh
that X is a times!
 
...
OK. There's too many things I have to do but I can't decide what to do.
And whenever I try to get something done, the rest of the stuff that I have to do keeps distracting
A philosophically challenging dilemma
maybe the solution is to grab some snacks, watch a movie and sleep.
 
I'm currently deciding how to learn some more Riemannian geometry
 
8:39 PM
@0celo7 Actually, there is 2 important thing to calculate: 1) shading of the bulbs of the light of the other 2) our senses are logarithmic
 
What?
 
Although I am not sure. My second impression is that a lighting light bulb should have a nearly 1 albedo for its own light.
 
9:00 PM
@dmckee Hey, you mind if I ask a question?
@dmckee Er, you there?
@0celo7 He's right when he says our sense are logarithmic. Imagine looking at one bright lightbulb, and then looking at two bright lightbulbs. A big difference in brightness, right? Well, now imagine looking at 99 bright lightbulbs, and then looking at 100 bright lightbulbs. The change doesn't seem that apparent. Even though the difference in the number of lightbulbs is the same, we wouldn't tell much of a difference in the second scenario.
 
Howdy
 
@0celo7 It's because our senses work logarithmically. In the first scenario, twice the light was added. In the second scenario, a much smaller fraction of light was added (99/100).
@0celo7 We also detect sound the same way and even count the same way. For example, there's a big difference between being chased by one lion, and being chased by two. However, there doesn't seem to be a big difference between being chased by 99 lions, and being chased by 100. Our brains register numbers logarithmically, so we wouldn't be able to tell the difference in the second scenario, since only a small fraction was added.
 
It doesn't make a difference from 1 lion to 2 for me
Both end with me dead
I don't see your point
 
user218912
9:27 PM
@BernardMeurer hi
 
@3705 Back to this name? How have you been?
 
user218912
bad.
 
Bought blue pants today, thought of you lol
 
user218912
xD
 
What's up?
 
user218912
9:27 PM
ever since my lung collapsed I've been downhill in everything.
 
Define everything
 
user218912
I have been gaming for 3 months now for hours everyday without reading or learning anything.
 
You're a physics major, have some rigor :p
 
user218912
I forgot everything I learned.
 
user218912
all of it.
 
9:28 PM
What's a tensor?
 
user218912
I still remember that xD
 
user218912
but I forgot everything else.
 
See :p
Well, you'll have to learn it in College
You'll be just fine
 
user218912
I know that.
 
user218912
but I lost my lead.
 
user218912
9:30 PM
I'm gonna stop gaming now...
 
user218912
but Idk how to get back into reading.
 
Usain Bolt has a bad start but still wins
@3705 Start with something you like a lot
like Kernels
Everyone loves that
 
user218912
idk what I like anymore.
 
user218912
I don't like anything, so I'll probably start fresh in something new.
 
@3705 You're having an existential crisis
Breathe slowly and FREAK OUT
 
user218912
9:39 PM
xD
 
user218912
did you prepare for uni?
 
user218912
where are you right now?
 
I'm in Rio still
I move to Lisbon Monday
p. anxious
 
user218912
good luck :D
 
user218912
I move in sunday, but it's only a 30 min drive xP
 
9:40 PM
Are you getting a roomate assigned?
 
user218912
yes I found one already.
 
user218912
It's a dorm style room.
 
Is he cool?
Are you cheating on me?
 
user218912
lol
 
You said I was the only one
 
user218912
9:41 PM
well he's doing compsci like you.
 
DUDE
YOU CAN'T DO THIS
;-;
 
user218912
he chose me.
 
user218912
in the roommate finder.
 
Jokes apart glad you found a compsci dude
they're the second best people out there
they lose to CEng
 
user218912
do you have a roommate?
 
9:43 PM
Nope
I got me a single room
 
user218912
nice.
 
I fart a lot
it would be an issue
 
user218912
lol I'm sure it would.
 
This is non-mainstream ($\approx$ pseudoscience) or not?
 
user54412
10:10 PM
@dmckee Do you know if it's usual for postdoc positions to be exempt from social security?
 
@ChrisWhite Sure isn't
Unusually high rate of suicide in that profession
@BernardMeurer that's the worst
 
@ChrisWhite Hey Dr.White ;)
 
@BernardMeurer currently getting all my farts out while my roommate is away
 
user54412
I should spend the next month ending arguments on the internet with "oh yeah, and when did you get your PhD in astrophysics?"
 
try that on some gangsters in LA
please report results
 
user218912
10:24 PM
@0celo7 hey
 
user54412
I've wandered the gang-y parts of LA -- some good food can be found there
 
@3705 what
lol you should have taken my Rudin analysis course
one of the books is Rudin...functional analysis
 
user218912
I'm dumb now.
 
user218912
I can't do anything.
 
why
 
user218912
10:29 PM
because I was gaming everyday for 3 months
 
user218912
forgot everything
 
See @ACuriousMind
 
user218912
what is he supposed to see?
 
gaming destroys the mind
I'm on a strict diet of mathematics and trap
it's serving me well
 
user218912
it doesn't destroy the mind...
 
user218912
10:31 PM
it just wastes time and makes you forget stuff.
 
user218912
besides didn't you game 24/7 last summer?
 
Yes, and it ruined me
I gave up physics in that time
 
11:00 PM
@ChrisWhite New one by me.
Any chance they're talking about it being an "exempt position" for the purposes of labor law?
That would mean salaried rather than hourly and is usually the case.
 
11:26 PM
0
Q: My profile picture pattern just changed automatically; how can I restore the old one?

pr1268Title says it all. My profile picture pattern just changed automatically: I liked my old one better. How can I restore it?

 
11:43 PM
So, question: would a name like "Blum Blum Shub" stick for a result in physics?
Blum Blum Shub (B.B.S.) is a pseudorandom number generator proposed in 1986 by Lenore Blum, Manuel Blum and Michael Shub that is derived from Michael O. Rabin's oblivious transfer mapping. Blum Blum Shub takes the form x n + 1 = x n 2 mod M {\displaystyle x_{n+1}=x_{n}^{2}{\bmod {M}}} , where M = pq is the product...
I contend that if Blum, Blum and Shub published some important result, most physics communities would go with something slightly less silly-sounding.
 

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