Newest Questions - Mathematics Stack Exchange
1 day ago · Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.
(Un-)Countable union of open sets - Mathematics Stack Exchange
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 or intersection …
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 …
terminology - What does the term "undefined" actually mean ...
Apr 10, 2015 · Saying that 1 divided by 0 is undefined, does not mean that you can carry out the division and that the result is some strange entity with the property “undefined”, but simply that dividing 1 by 0 …
study of the sequence (Un) defined by $U_{0}=a$ and …
Oct 7, 2020 · let a and b be real numbers such that a>0 and b>1. Consider the sequence (Un) defined by U0 = a U 0 = a and Un+1 = a + 1−b−n 2.Un U n + 1 = a + 1 b n 2 U n . Show that (Un) is …
probability - Suppose that $U1, U2, ..., Un$ are iid $U (0,1)$ and $Sn ...
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.
When is the group of units in $\\mathbb{Z}_n$ cyclic?
Let Un U n denote the group of units in Zn Z n with multiplication modulo n n. It is easy to show that this is a group. My question is how to characterize the n n for which it is cyclic. Since the multiplicative …
Intuitive proof that $U(n)$ isn't isomorphic to $SU(n) \\times S^1$
Jan 5, 2016 · and what you'd really like is for an isomorphism U(n) ≅ SU(n) × U(1) U (n) ≅ S U (n) × U (1) to respect the structure of this short exact sequence. (If there were some random isomorphism …
optimization - Minimizing KL-divergence against un-normalized ...
Jun 10, 2024 · Minimizing KL-divergence against un-normalized probability distribution Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 months ago
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 …