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visits member for 1 year, 11 months
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Aug
16
accepted Proving the Weierstrass M-Test with topology
Aug
16
asked Proving the Weierstrass M-Test with topology
Aug
9
asked Is there a direct way of proving that all splitting fields are isomorphic?
Jul
28
comment how to show that $\mathbb{Q}[\sqrt[3]{2}]$ is a field? (by elementary means)
See here for a proof that if $a$ is algebraic, $F(a)=F[a]$.
Jul
23
comment How is $ \sum_{n=1}^{\infty}\left(\psi(\alpha n)-\log(\alpha n)+\frac{1}{2\alpha n}\right)$ when $\alpha$ is great?
You seem to have forgotten the $\pi^2$ term in the final line.
Jul
22
awarded  Nice Question
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
28
comment Binomial Congruence
See if you can adapt this proof.
Jun
26
answered Eisenstein series is a modular form
Jun
26
revised Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$
LaTeXed the trig.
Jun
26
answered Sums of solutions to $z^n-1 = 0$ that equal 0
Jun
23
revised Does the index of a curve determine the asymptotic behaviour of certain vector fields?
deleted 9 characters in body; edited title
Jun
23
comment Does the index of a curve determine the asymptotic behaviour of certain vector fields?
@DavidH I think I'm talking about the index of the curve, sorry for the confusion of terminology (regardless, I'm talking about the thing Needham is talking about in Visual Complex Analysis, page $\approx 498$).
Jun
23
comment Does the index of a curve determine the asymptotic behaviour of certain vector fields?
@DavidH $$\frac{1}{2\pi} \int_{\gamma} \frac{v(p)_x}{|v(p)|^2}dy- \frac{v(p)_y}{|v(p)|^2}dx.$$
Jun
22
comment Does the index of a curve determine the asymptotic behaviour of certain vector fields?
I think Needham calls it the winding number, I'd be happy to know the proper name for this.
Jun
22
comment Does the index of a curve determine the asymptotic behaviour of certain vector fields?
@DavidH Let $v(p)$ be the vector associated with the point $p$. I define winding number to be the number of anticlockwise revolutions $\frac{v(p)}{|v(p)|}$ makes as $p$ moves along $\gamma$ in a closed loop. What you're referring to seems to be the case when $v(p)=p$.
Jun
18
comment Does the index of a curve determine the asymptotic behaviour of certain vector fields?
@HandeBruijn Thanks. I've not got the time now, but by Saturday I'll have edited it.
Jun
17
comment Difference between “Show” and “Prove”
@AndréNicolas I saw a textbook from the $1950$s with an extensive use of 'shew'.
Jun
17
asked Ways to formalise $\text{Ring}\approx \text{Group}\times \text{Monoid}$.