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 Product R...
Intuitive proof that $U(n)$ isn't isomorphic to $SU(n) \\times S^1$
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) \\simeq \\frac{SU(n) \\times U(1)}{\\mathbb{Z}_{n}}
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.
Equation of a rectangle - Mathematics Stack Exchange
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:
If a series converges, then the sequence of terms converges to
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Typo on Wikipedia? Dimension of - Mathematics Stack Exchange
Jan 29, 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.
What is the meaning of having ^ over a vector name?
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.
Homotopy groups U(N) and SU(N): $\\pi_m(U(N))=\\pi_m(SU(N))$
Oct 3, 2017 · 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.
What does the letter epsilon signify in mathematics?
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 …
Lie Algebra of U (N) and SO (N) - Mathematics Stack Exchange
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?