/sci/ - Science & Math

>>11452800
I can't make sense of any of that, unfortunately.
I wrote my proof that way out of bad habit, but in vector calc lang, I think you'd substitute [math]G(v) \rightarrow \nabla g(0) . v[/math], and the operator norm argument becomes Cauchy-Schwarz.
Also, a bunch of norms become modulos.
>>11454322
[math]S_n[/math] is the symmetric group, [math]D_n[/math] is dihedral, and fuck if I know [math]U_n[/math]. I'd usually assume it's the unitary group, but that's normally [math]U(n)[/math].

>>11416761
Discord? What's a discord? Is it a platform geared towards math and science?
>>11416800
>But with this in mind, what does it mean to apply H directly to a state? Does this even make any practical sense?
IIRC the "infinitesimal" evolution of the system, or the "velocity vector" of the evolution.
You might want to just take the time to figure out Yukarifag's posts, tho.
>>11416931
https://math.stackexchange.com/questions/2363268/combinatorial-geometry-imo-2017-problem-3
>>11416957
Yes.

>>11417081
Substitution, I guess.
Missing a divided by 2, tho.