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...

Oct 2, 2011 · For purposes of plotting with a computer, the implicit equation isn't terribly convenient to handle, so I'll throw in a set of parametric Cartesian equations for free, based on the parametric equations of the Lamé curve:

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.

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.

Jun 2, 2015 · $\begingroup$ Your last paragraph is unclear. Contextually, there is no ambiguity about what $\hat a$ means. Every unit vector needs a circumflex (often called a hat) or an explanation.

Here's a not too well-known instance of the use of $\varepsilon$ in mathematics: One somewhat well-known transformation for accelerating the convergence of a sequence is the Shanks transformation (after Daniel Shanks, who is probably more well-known for …

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 $\det\colon \mathrm{U}(n) \to S^1$.

In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B...

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.

$\begingroup$ "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.