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5:01 PM
@Paradox101 Yes. $n$ cannot be part of the answer since its scope is only within the sum.
 
Hello!!
Does someone of you know what a monodromy group is?
 
the group of automorphisms on a fiber of a covering map induced by the fundamental group based at the point in the covered space
 
I haven't understood it... Could you explain it further to me? I found this at a part that is related to differential equations. @anon
 
read the wikipedia page, follow the links to the individual concepts
you know what a group is right?
 
@anon Yes
 
5:14 PM
do you know what a fundamental group is?
 
r9m
@robjohn @Chris'ssistheartist I went ahead and asked this bad-boy in MO :)
 
@anon Not really
 
do you know what a covering space is?
 
No
 
well, then you have two terms to look up and read about
 
5:20 PM
ok...
 
5:37 PM
@anon Could you help me to find a subspace $Y$ of $l^2(\mathbb{N})$ and a $x \in l^2(\mathbb{N})$ such that d(x,Y) is not attained?

$l^2(\mathbb{N})=\{ (x_n) \in \mathbb{R}^{\mathbb{N}}: \sum_{n=1}^{\infty} |x_n|^2< +\infty\}$
 
Can anyone explain why my question (math.stackexchange.com/questions/1547402/…) got downvoted?
 
@jukka.aalto We expect users to show their work on the question so far, especially with homework-ish questions
It allows us to evaluate what you do and don't know, can and can't do and thus give more relevant answers. It's also to make sure that you're not just using the website to do your homework for you.
 
6:01 PM
@r9m +1
 
6:31 PM
if k-->E is a Galois extension with Galois group G and E-->F is the separable closure of F then is F the separable closure of k?
If Gal(F/E) is the absolute galois group of E and G is the Galois group of k-->E then what's the Galois group of k-->F?
is it Gal(F/E)\times G?
@BalarkaSen @MikeMiller @TedShifrin
 
The thing I feel now is to publish my book and leave any kind of math community. It won't be easy, maybe because of the fact that I'm used to that, but I think I'll do math absolutely alone.
The way some do math make me absolutely sick (of course I'm in a bad mood because of that).
Anyway.
Alone is better.
It doesn't have any link with any of the users here, just to avoid such a possibility.
That's it.
 
user174558
6:52 PM
The orange is here.
 
user174558
Hello @Sajindia I just realised who you are. Are you alright?
 
user174558
@robjohn Have you had the turkey yet? There is a lucky draw later. I hope to win the iMac.
 
@JasperLoy Not yet... what drawing?
@Chris'ssistheartist why leave?
 
user174558
@robjohn Just a dinner at where my mum is working.
 
user174558
@robjohn She is here now.
 
7:00 PM
@robjohn It's a matter of my principle and I won't talk about the details, but I see some of my work ruined in some sense and I worked much for that.
 
user174558
@Chris'ssistheartist Is it something bad the publisher did?
 
I'm very furious now and better I should not say anything.
@JasperLoy No, all is fine with that.
@JasperLoy My stuff is safe, the part with the publisher is OK, no worry with the book.
 
user174558
@Chris'ssistheartist What you say is very vague. If you wish to share more you can.
 
@JasperLoy No, I will never do it.
I'll stay away for a while to recover.
 
user174558
Hello @ted. Have you had turkey?
 
7:04 PM
@JasperLoy No - Russia
 
user174558
@AinzOoalGoal How are things in Paris? Any more bombs?
 
@JasperLoy Hopefully, none for now
I don't know how long that will last though
 
user174558
@AinzOoalGoal It will last forever until ISIS is destroyed.
 
7:30 PM
0
Q: composing galois extensions

JoshIf k-->E is a Galois extension with Galois group G and E-->F is the separable closure of F then is F the separable closure of k? If Gal(F/E) is the absolute galois group of E and G is the Galois group of k-->E then what's the Galois group of k-->F? Is it Gal(F/E)\times G?

 
8:17 PM
@AinzOoalGoal comment ça se passe mon vieux
 
@Agawa001 ça va, et toi ?
 
comme d'habitude, a l'exception que je vais arreter le chat pour une periode
 
je vais etre present occasionnellement
j'ai un project arduino a faire, trop de boulot a s'inquieter
 
Ah ok
 
8:23 PM
je pense que l'année precedente, m'etais la plus constructive et productive, je pense plus que je serais tant actif pour cette année, mais quand meme, ça etait une experience sans egal :)
 
@Agawa001 :D
 
ciao, a bien tot
 
8:50 PM
question if you have a division of two numbers with powers such as : 6*10^6/1*10^3

Do you just subtract the powers so you get 6 * 10 ^ 3 ?
or do you also divide the powers so 6 * 10 ^ 2
 
9:02 PM
@Dave subtract. Otherwise 10/10 would be 10 and not 1
 
9:35 PM
someone has an idea for this: math.stackexchange.com/questions/1546451/…
thank you
 
9:53 PM
@Chris'ssistheartist youtube.com/watch?v=9jJu4z4UwiQ
 
 
1 hour later…
11:16 PM
@Dave in (10*10*10*10*10*10)/(10*10*10) one may take away three 10s from top and bottom leaving 6-3 tens left over.
 
11:43 PM
Actually @Dave you should treat the fraction just like any other; and simplify it by dividing the numerator and the denominator by $10^3$. This leads to the general rule: $$b^m \div b^n = b^{m-n}$$
:-)
 
11:59 PM
@Josh Yes, the separable closure of a separable extension of k is the separable closure of k too.
 
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