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  1. Newest Questions - Mathematics Stack Exchange

    3 days 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 this case, the union …

  3. Mathematics Stack Exchange

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

  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 is …

  5. 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, pero mi …

  6. 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 ...

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

    Jun 10, 2024 · Minimizing KL-divergence against un-normalized probability distribution Ask Question Asked 1 year, 8 months ago Modified 1 year, 8 months ago

  8. $U(n) \\simeq \\frac{SU(n) \\times U(1)}{\\mathbb{Z}_{n}}$ isomorphism

    Jan 20, 2015 · Groups definition U(n) U (n) = the group of n × n n × n unitary matrices ⇒ ⇒ U ∈ U(n): UU† =U†U = I ⇒∣ det(U) ∣2= 1 U ∈ U (n): U U † = U † U ...

  9. 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 from the …

  10. 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 ...