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  1. (Un-)Countable union of open sets - Mathematics Stack Exchange

    Jun 4, 2012 · A remark: regardless of whether it is true that an infinite union or intersection of open sets is open, when you have a property that holds for every finite collection of sets (in …

  2. optimization - Minimizing KL-divergence against un-normalized ...

    Jun 10, 2024 · Minimizing KL-divergence against un-normalized probability distribution Ask Question Asked 1 year, 4 months ago Modified 1 year, 4 months ago

  3. Mnemonic for Integration by Parts formula? - Mathematics Stack …

    Nov 11, 2018 · 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 …

  4. modular arithmetic - Prove that that $U (n)$ is an abelian group ...

    Prove that that $U(n)$, which is the set of all numbers relatively prime to $n$ that are greater than or equal to one or less than or equal to $n-1$ is an Abelian ...

  5. probability - Suppose that $U1, U2, ..., Un$ are iid $U (0,1)$ and …

    Nov 2, 2022 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

  6. sequences and series - (Un)equivalence of two definitions "$R ...

    Sep 8, 2025 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

  7. functional analysis - Where can I find the paper "Un théorème de ...

    Nov 12, 2015 · 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 …

  8. Intuitive proof that $U(n)$ isn't isomorphic to $SU(n) \\times S^1$

    Jan 5, 2016 · The "larger" was because there are multiple obvious copies of $U (n)$ in $SU (n) \times S^1$. I haven't been able to get anywhere with that intuition though, so it ...

  9. For what $n$ is $U_n$ cyclic? - Mathematics Stack Exchange

    Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,

  10. How to find generators in $U(n)$? - Mathematics Stack Exchange

    Nov 12, 2017 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …