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  1. Newest Questions - Mathematics Stack Exchange

    1 day ago · Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

  2. (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 …

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

    Nov 2, 2022 · I meant it to read: P (S_1 ≤ t) P (S_n ≤t). The product of those probabilities given the assumption is true.

  4. 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 …

  5. Mathematics Stack Exchange

    Q&A for people studying math at any level and professionals in related fields

  6. 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 …

  7. 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 ...

  8. Como calcular el area de la superficie de un huevo con calculo

    Estoy haciendo mi reciente evaluación interna del IB Matemáticas HL y mi tema es cómo calcular el área de superficie de un huevo . Quiero aplicar el cálculo conocimiento en esta pregunta, …

  9. $U (n)$ is not isomorphic to $SU (n) \times S^1$ [duplicate]

    Yes, it is more natural to use the determinant, see the duplicate. There the same doubt was mentioned, that the proof with centers is not so "insightful". On the other hand, the definition of …

  10. Prove that the sequence (1+1/n)^n is convergent [duplicate]

    Mar 27, 2019 · I know the proof using binomial expansion and then by monotone convergence theorem. But i want to collect some other proofs without using the binomial expansion. *if you …