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1:16 AM
@Perturbative a ring homomorphism $R \to S$ induces a faithful functor $\textbf{$S$-Mod} \to \textbf{$R$-Mod}$ that has a left adjoint...
the ring homomorphism perspective of module just makes this easier
@ÍgjøgnumMeg another perspective is that inclusion is continuous in the subspace topology by definition
 
1:41 AM
anyone want to explain in everyday words the relationship between group (actions?) and symmetry?
 
 
5 hours later…
6:13 AM
What is the complexity of the song "The Twelve Days of Christmas"?
(See above.)
 
7:08 AM
@Shaun I don't understand the joke.
 
7:25 AM
@JohnNash That's okay, I'm kind of lame :)
 
 
2 hours later…
9:48 AM
@mathwannabe Try asking in the room below.

 Group Theory

Let's discuss group theory!
 
10:00 AM
@LeakyNun hi
 
10:12 AM
hi
 
10:50 AM
 
11:21 AM
@AkivaWeinberger old
 
12:20 PM
hi chat
 
1:03 PM
$$\newcommand{sinc}{\operatorname{sinc}}\sum_{n=1}^\infty \sinc n = \sum_{n=1}^\infty \sinc^2 n$$
$$\int_0^\infty \sinc x \ \mathrm dx = \int_0^\infty \sinc^2 x \ \mathrm dx$$
 
 
1 hour later…
2:06 PM
@AkivaWeinberger Recently the drones at Gatwick airport left people stranded for days because the planes could not fly.
 
2:55 PM
@LeakyNun I guess the more interesting question is: What is the mechanism that enforce this equivalence
also conjecture:
$$\int_0^\infty \sinc x \ \mathrm dx = \int_0^\infty \sinc^{2n} x \ \mathrm dx$$
Another conjecture:
$$\lim_{n\to \infty} \int_0^{\infty} \text{sinc}^{2n} x dx = \int_{0}^{\infty} \delta (x) dx = 1$$
 
 
7 hours later…
9:37 PM
@AkivaWeinberger XD
 
@Shaun thanks for the pointer
 
9:59 PM
Hi
 
@mathwannabe You're welcome :)
 

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