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- Show that - 1 2(4 - Un)$ - Mathematics Stack Exchange
We know (from a previous question) that Un is an increasing sequence and Un < $4$ Show that $4$ - Un+1 <(or =) 1 2(4-Un) I gave it a try and this is what I got :
- Mnemonic for Integration by Parts formula? - Mathematics Stack Exchange
The Integration by Parts formula may be stated as: $$\\int uv' = uv - \\int u'v $$ I wonder if anyone has a clever mnemonic for the above formula What I often do is to derive it from the Product R
- general topology - (Un-)oriented manifold with (un-)oriented interfaces . . .
An un-oriented manifold is glued from pieces of oriented manifolds [with boundaries], separated by interfaces [where boundaries are glued]? I suppose a Mobius strip is one example, but do we have any concrete 4-dimensional example [glued from 3-dimensional interfaces] and 3-dimensional manifold examples [glued from 2-dimensional interfaces]?
- What are some interesting un-intuitive problems in probability aside . . .
there's the rare illness test - despite no symptoms, a man takes a test for an illness that occurs in one in a billion people
- functional analysis - Where can I find the paper Un théorème de . . .
J P Aubin, Un théorème de compacité, C R Acad Sc Paris, 256 (1963), pp 5042–5044 It seems this paper is the origin of the "famous" Aubin–Lions lemma This lemma is proved, for example, here and here, but I'd like to read the original work of Aubin However, all I got is only a brief review (from MathSciNet)
- Mathematics Stack Exchange
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- modular arithmetic - Prove that that $U(n)$ is an abelian group . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- optimization - Minimizing KL-divergence against un-normalized . . .
Minimizing KL-divergence against un-normalized probability distribution Ask Question Asked 12 months ago
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