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 Product R...

Jan 5, 2016 · This is a sort of addendum to Qiaochu's answer, the purpose of which is to tie up the loose end it leaves in the sense that it only considers isomorphisms compatible with the short exact sequence associated to the surjective $\det\colon \mathrm{U}(n) \to S^1$.

U(N) and SO(N) are quite important groups in physics. I thought I would find this with an easy google search. Apparently NOT! What is the Lie algebra and Lie bracket of the two groups?

Jan 20, 2015 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Every locally compact group has left-invariants haar measures. In particular, the compact groups $\\operatorname{O}(n)$ and $\\operatorname{U}(n)$ have them. I was wondering if there is a realization...

May 15, 2013 · Similarly, 80 is also not invented, it is 4 20s, quatre-vingt. 81 is 4 20s 1, quatre-vingt-un. 90 is, 4 20s 10, quatre-vingt-dix. 91 is 4 20s 11, quatre-vignt-onze. Finally, they have a word for 100, ceut. It looks similar to roman numbers Roman number system, where you repeat the letters to combine the values. X is 10 XX is 20 and so on.

For part 1, if there were a subsequence that didn't converge to the same limit, then we could find a neighborhood around the original point such that infinitely-many subsequence terms were outside the neighborhood.

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

$\begingroup$ "The positions of all 52 cards are known"? Do we both know the same Klondike Solitaire? I was thinking the OP was referring to the one in Windows: there are seven rows of cards with increasing numbers of cards from one to seven, placed left to right, and the top card of each row only is face up.

Jun 2, 2022 · Here it is. Just click on the “functions” tab on the right hand side of the panel and scroll down. EDIT FOR CLARITY: Look at the text box closely.