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#6
moru September 25, 2026 at 6:28:04 PM

WOW. I've seen your artwork on the Nekoweb discord, it's so.. simple and wonderful! You have an immense sense of style and it pleases my eyes very much (respectfully!). You should probably post your art on Newgrounds one day. People around there will adore your art!

#5
Silver September 22, 2026 at 8:35:10 PM

∫_{M} dω = ∫_{∂M} ω

#4
quentin August 28, 2026 at 8:17:34 AM

If $X$ is a Stein manifold, then $H^k(X,\mathcal O_X) = 0$ for all integers $k > 0$.:cheers:

#3
serge (oblomov???) August 28, 2026 at 2:56:27 AM

Assume you have a tower of fibrations (endless stuff to the left) -> X->Y->Z Then the limit of the n-th homotopy group of X and nth homotopy group of the limit of the fibrations satisfies the following exact sequence: 0->R^1 lim pi_(n+1) (X_i) -> pi_n lim (X_i) -> lim (pi_n X_i) ->0 As a corollary, you have that if pi_{n+1}(X_i) always vanishes, then lim pi_n X = pi_n lim X Also, the limit here exists in both cases (why?)

#2
Anonymous August 27, 2026 at 3:50:53 PM

i'm gay :love: :P

#1
Silver August 27, 2026 at 3:47:58 PM

:nerd::cool::bouncey: the generalized stokes theorem and all its special cases makes integration a chain map from de rham cohomology to singular cohomology, and the de rham theorem provides conditions for when this is precisely an isomorphism