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17:12
huhu
hi dominic
I have a friend in Southampton UK whose name is as you. :-)
17:31
Hello, @Babak!!!
Hello, Amy :-)
@BabakS. How are you? ;-)
Great! But it seems that one of my answers was removed
I think the OP was removed
@BabakS. Oh no! It was Ethan!
Ethan is the one who likes to (remove) it (remove) it.
I don't know
17:33
@Ethan Stop it, dude.
@BabakS. Really? Oh...I see what you mean..."user was removed"... The answer remains, usually, but you lose any points you got as upvotes from the user
Oh I see. Thanks
@BabakS. That's happened to me, sometimes there is a run of users deleting their accounts...hence the "removal"
It seems we cannot do anything about it. I told that to Rob.
@GustavoBandeira: I like your question at mathematica.stackexchange.com/q/2554/1526
+100
It's interesting, yes.
17:37
Very intresting. In fact I am fond of doing abstract ideas with plots.
@amWhy: Dear Rob foun it for me. math.stackexchange.com/q/371262/8581
see it
plz
@BabakS. Nice!!! I see, a user tried to delete the questions, hence the post and your answer. Nice to have it restored!
@amWhy: Thanks for giving me your time.
@GustavoBandeira: Are you there?
@BabakS. My time is your time ;-)
@BabakS. Yes.
@amWhy This idea should be applied in a wider system. Like with distributed computing.
17:43
@Lord_Farin hahahaha, yes, indeed!
We just put 100 humans in stasis, and use their time to boost up one human to 101-fold capacity. Imagine how fast my thesis would be done :)
@Lord_Farin Did you see my starred comment?
@GustavoBandeira On etiquette?
Have you ever tried to make a theorem, for example the theorem which says $sin x$ is continuous at $x=0$, dynamic? @GustavoBandeira
@BabakS. No. I'm pretty retarded atm.
17:46
I mean by using Mathematica
Even there. :P
@GustavoBandeira To discuss music taste continues to remain interesting. Where you describe something as "Amazing.", I would describe it as "Boring." :)
You need da SUBWOOFAS, bro.
Without that, no understanding is possible.
@Gustavo I think the problem lies more with the fact that I like my music many-layered.
Daily vote limit reached :(
@Lord_Farin Preludes in 236 voices?
And none of the is unison!
17:51
Hi @Charlie
Ima aba vekol ashar
@skullpatrol hi! Hi @gustavo
@Charlie How are you?
@Lord_Farin It's also not very clear what you mean with many layered.
17:53
@skullpatrol I'm fine, and you?
@Gustavo That may be a bit overkill. What I look for is somewhat in the intersection of this and this.
Hello @Charlie.
@Charlie Fine thanks.
@Lord_Farin does it hurt?
@Lord_Farin In the first one, I guess there aren't too much layers. He seems to employ the use of a lot of octaves to make the sound appear more.
17:55
@skullpatrol :D
@AlexanderGruber Hi, how's it going with the paper?
@Charlie :D
@GustavoBandeira That looks nice. I'll check it out in the course of tonight!
@skullpatrol ;D
@Lord_Farin I'm a piano student. Classic piano.
17:58
@Charlie }B-)
@gustavo acho que está machucando }:)
@GustavoBandeira Nice! There's something intangible about piano pieces. The only thing getting close to it is the violin IMO. Most other instruments are quite boring compared to these.
The first video is a demonstration from the Berliner Philarmoniker.
@skullpatrol hehehehe
17:59
@Charlie ?
.
@Lord_Farin The music by Vasallo is cool.
@Charlie :D :D :D :D
@GustavoBandeira de tanto que cê está puxando o saco dele ;)
@Charlie Tô de zôa.
E cê com ciúmes...
@GustavoBandeira nu to nao
Tá sim. :P
18:01
Tô nada
@jayesh oh noes!
@Charlie Wat?
@JayeshBadwaik :( your pic.... That's it....
18:07
@Charlie ahh, I disabled my gravatar for time being. Will be up again this saturday hopefully.
@JayeshBadwaik aah
@Lord_Farin later
@JayeshBadwaik with a new one, huh ?}:)
@Charlie May be. :-)
@JayeshBadwaik :D
@jayesh if you could wait about 20 min...
18:13
anyone has a neat proof for the fact that every non trivial ball in a ultrametric spaced is open and closed ?
@GitGud hi :)
@GitGud Hi.
:-(
Do you see any friend solution here? $$\text{Integrate}[x{}^{\wedge}2/(\text{Sqrt}[1-x{}^{\wedge}2] (x{}^{\wedge}2+1){}^{\wedge}2),\{x,0,1\}]$$
$$\int_0^1\frac{x^2}{\sqrt{1-x^2}(x^2+1)^2} \ dx$$
What does the software spit out?
@Charlie Why the frown?
18:28
@GitGud nothing...
I'ma drop a brick.
@DominicMichaelis, do you know any two balls of same radius are disjoint or equal?
@shobon not yet but i already have a proof, but it is not that neat i guess
I have a nice proof using that
I wanted to say "friendly solution". :D
18:36
@GitGud it is not you, relax
let X be an ultrametric space, cover it with open balls of radius R
@Chris'ssisterandpals If you're comfortable integrating $\displaystyle \int_0^{\pi/2} \frac1{1-\sin^4 z} \,\mathrm dz$ you can substitute $x = \sin z$.
then X \ B(x,R) is a union of open balls
so the complement of B(x,R) is open
essentially i constructed a proof like that
wenn not exactly but I use the union of open sets as well
@Lord_Farin yeah, that should nicely work.
18:39
@Chris'ssisterandpals I probably forgot to mention a partial integration and some trig-ery.
@Lord_Farin it's OK. Thanks!
@Chris'ssisterandpals I just got lucky :)
@Lord_Farin because you master things! :-)
can some one clarify this for me
I'm thinking to add one parameter more there.
18:45
Hey guys, it's 25/04 in India, so let's wish @Jayesh a HAPPY BIRTHDAY!
"Consider the set $H = \{a \in S_5 \mid a(3) = 3\}$. Is $H$ a subgroup of $S_5$, is it normal?"
what does the notation $a(3)$ mean?
is that "plugging in 3" to the permutation $a$?
@Eric Yes. Probably they intend $S_5 \simeq \operatorname{Aut}([5])$.
what is $[5]$?
Where $[5] = \{1,2,3,4,5\}$.
$\Huge\text{Happy Birthday Jayesh}$
18:48
@Lord_Farin $|H| = 4!$ right?
@Eric Yes, and it's normal.
Basically any permutation that does not "touch" 3 is in $H$
Wait, it IS normal?
@Eric Disregard that. I lost the family brain cell for a moment there, I think.
Take, $aha^{-1}$ then let $a = (34)$.
Then $aha^{-1} = (34)h(43)$. If I plug in (3) I get
$(34)h4$ and if h and (4) are disjoint so they dont commute and its not in $H$
@Lord_Farin ok
Is that proof right by the way?
@Eric Yeah, or just use it on $h = (45)$. Then the result is $(35) \notin H$.
18:59
I don't know what's wrong with Mathematica, but it simply doesn't work anymore.
it has sucked up all your powers
oh i hate when I really have to think
hey Lord
Hello @Dave
Did you manage to write out your assignment?
yeah hehe
not sure what will be the result tho.
the exam is tomorrow pm.
19:03
Did you write it in TeX?
do you have an example or exercice on which i could practice the handshaking lemma ?
What is there to practice about it?
Dunno
an application of,
I'm pretty sure theres gonna be a question on it in the exam and I'm not sure what it could look like
@DominicMichaelis yeah, who does not?
"Prove the handshaking lemma" would be a reasonable guess.
@Charlie raises hand
19:06
@Charlie do you want to think with me ?
@DominicMichaelis yes
@DominicMichaelis I think you misspelled f***.
@GitGud I think you misspelled misspelled... How ironic.
@Lord_Farin Lies :P I bet your message will be starred (and not by me).
Ok i have the (ultra) metric $$d_{37}: \mathbb{Z} \times \mathbb{Z} \to \mathbb{R}: d(x,y)=\begin{cases} 2^{-a_{x,y}}; & x \neq y \\ 0 & ; x=y \end{cases} $$ where $a_{x,y}$ is the highest exponential of $37$ in the prime factorization of $|x-y|$
19:10
I'm a bit depressed today
@Charlie What is depressing you?
no I shall find an ultra metric $d'_{37}:\mathbb{Q} \times \mathbb{Q}\to \mathbb{R}$ such that it conicides with $d_{37}$ on $\mathbb{Z}\times \mathbb{Z}$
If $|a|=n$ then in general shouldn't it be true that $Z_n \approx \langle a \rangle$?
@Eric, why dont you prove it
@skull I do not know
19:12
@shobon because I dont have time really
@Charlie oh?
@DominicMichaelis Well it seems to me that the obvious choice (extending $a_{x,y}$ to $\Bbb Q$ in the obvious way) will work...
@shobon But i just thought of this, and I am quite should that I this was not explicitly written down in my book anywhere. I was wondering if there is some very obvious reason.
19:14
@Charlie That happens sometimes to me too. I thought it happened to everyone, but apparently not to Skull.
@Eric, here's a proof: i(a^n) = n is an isomorphism
@Lord_Farin the prime factorisation of $p \cdot q $ where $\frac{p}{q}$ is a rational where $p,q$ has no common divisors ?
@GitGud You're right, I have never been depressed for no reason pal.
@DominicMichaelis Simply use the (signed) prime factorisation on $\Bbb Q$.
It defies intuition because "close" in Euclidean can mean "far" in our $d'_{37}$ but it works.
@skullpatrol Depressed is too strong a word. It's more like having the blues. It does happen.
19:17
sorry i only know prime factorisation of $\mathbb{Z}$
@Dominic: You just factorise $p$ and $q$ but use negative exponents as appropriate.
I.e. negative ones for $q$.
The factorisation of $\dfrac1{10}$ is $2^{-1}\cdot 5^{-1}$.
@GitGud That's why they call it R&B...
ok great that should work thanks
@DominicMichaelis Anytime :)
Afk.
19:20
the next task is ugly I shall give all topologies on $\{ \alpha, \beta, \gamma, \delta \}$ D:
See you, @skullpatrol
hello
@GitGud later pal :D
is there any value in finite topologies?
yeah there is !
19:23
what is it
the homotopy types of any finite simiplicial complex coincides with the homotopy types of finite topological spaces
i have no idea what that is
i beleive you though
Hello!!!
It's a result of McCord
Do you know a book with description of Cech cohomology for dummies?
19:39
@TobiasKildetoft pretty good! mark lewis is still putting his final edits into his part of the paper, but after that, it's goin on arXiv.
WHAT THE FUCK ?
I shall give a freaking list of freaking 355 topologies
lol
I should list up all topologies on $\{ \alpha,\beta,\gamma,\delta\}$ for 4 elements there are 355 toplogies
@AlexanderGruber cool
hopefully he will have some spare time soon then
does anyone of you have the complete list ? ^^
19:48
@DominicMichaelis why would anyone want a complete list, rather than one up to homeomorphism?
Homework says so :(
that sounds awful
complete list for 2,3 and 4 elements, got the one for 2 and the one for 3 elements
did you get the number 355 from the homework also?
nope from wikipedia
20:12
well got the first 30 :D
@DominicMichaelis :D
I totally bet i get 354 and can'T find the last
20:32
got 44 will do something else right now
@DominicMichaelis ;)
**** that **** i gonna write a programm for that :D
@DominicMichaelis The question is just plain ridiculous.
What part of your mark is determined by this specific homework question? I'd seriously consider leaving it out.
It's more efficient to do so.
@Lord_Farin have you ever changed your name, your user name?
it is an oral exam and the best homework solutions are posted on the homepage of the prof, but it doesn'T effect the marc official
20:47
@DominicMichaelis Then you could IMO suffice with describing an algorithm rather than giving the list. That'd be the only worthwhile part of the exercise in any case; nobody cares about such lists.
@Charlie Why?
@Lord_Farin just asking
@Charlie Not that I remember.
Certainly not on MSE.
@Lord_Farin hmm
@Lord_Farin you like wiki huh?
(removed)
@Charlie As is explained on my profile, I am affiliated with ProofWiki. Indeed, I am also the person behind the identically named profile on that site.
20:54
@Lord_Farin interesting
@Charlie Why?
Shot through the heart
and you're to blame
You give love a bad name
I play my part and you play your game
You give love a bad name
You give love a bad name
@Lord_Farin nothing
@Charlie I can handle "I don't want to say"; I don't like lies.
@Lord_Farin nobody likes
@Lord_Farin I'm just asking, baby, relax
@Charlie Admittedly I have a paranoid side to my character :)
20:58
@Lord_Farin I have lot of irony
(removed)
@skullpatrol NOO
@Charlie Like this?
@Lord_Farin no, much worse
Could you provide an example?

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