(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 …
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 …
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 …
Limit sequence (Un) and (Vn) - Mathematics Stack Exchange
Limit sequence (Un) and (Vn) Ask Question Asked 8 years, 10 months ago Modified 8 years, 10 months ago
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 ...
differential geometry - $U (n)$ diffeomorphic to $SU (n)\times S^1 ...
Jun 3, 2021 · 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 …
discrete mathematics - Show $|u^n| = n|u|$ for all strings $u$ and …
Can anyone please help me with this homework question on automata from Peter Linz? Use induction on $n$ to show that $|u^n| = n|u|$ for all strings $u$ and all $n$.
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
$\operatorname {Aut} (\mathbb Z_n)$ is isomorphic to $U_n$.
(If you know about ring theory.) Since $\mathbb Z_n$ is an abelian group, we can consider its endomorphism ring (where addition is component-wise and multiplication is given by …
Proof that $U (n)$ is connected - Mathematics Stack Exchange
Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,