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May
20
comment Manifolds and magnetic potential
@GiuseppeNegro Thank you, that goes some of the way to clearing up concerns about the behaviour of the potential: I haven't seen the vector potential as applied to Lagrangian mechanics yet. However, the question concerning my hunch about manifolds still stands.
May
20
asked Manifolds and magnetic potential
May
19
comment Evaluating $\int_0^\infty \frac {\cos {\pi x}} {e^{2\pi \sqrt x} - 1} \mathrm d x$
I'm not sure which paper it is exactly. He touches on it here, but doesn't solve it to the extent given above.
May
19
comment Evaluating $\int_0^\infty \frac {\cos {\pi x}} {e^{2\pi \sqrt x} - 1} \mathrm d x$
Should there be an equality somewhere in the second line?
May
17
comment Proving that nth derivate of $x e^{-x}$ is $(-1)^n (e^{-x})(x-n)$ by induction.
As a reply to 'always?', note that sometimes for step $1$ you will prove that the claim is true for all n up to $n$, then prove it for $n+1$ (as opposed to just for $n$). Also, you may occasionally assume it for $n,n-1$ and $n-2$ (for example), then prove it for $n+1$.
May
17
awarded  Necromancer
May
14
comment When is $\sum_{n \ge 0} g_n(z)$ analytic?
Please don't delete these comments, they have been useful to me.
May
13
revised Which operators commute with integration?
edited title
May
13
revised When is $\sum_{n \ge 0} g_n(z)$ analytic?
added 57 characters in body
May
13
asked When is $\sum_{n \ge 0} g_n(z)$ analytic?
May
12
comment How prove $\frac{n^3-1}{mn-1}\equiv 1\pmod n$
@CalvinLin To be fair, I made that comment before the edit.
May
12
asked Number of solutions to a congruence in a PID
May
10
comment Which operators commute with integration?
I may have mistagged this as operator theory, feel free to edit if so.
May
10
asked Which operators commute with integration?
May
10
asked When is $\sum_{n,m=-\infty}^\infty \frac{1}{(n\omega_1+m \omega_2)^\alpha}\in \mathbb{R}$?
May
7
answered Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
May
2
accepted PID question in Ireland and Rosen
May
2
comment PID question in Ireland and Rosen
Thanks, I obviously just pretended to myself to learn the definition of an ID.
May
2
revised PID question in Ireland and Rosen
added 1 character in body
May
2
asked PID question in Ireland and Rosen