Alan C
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 Jan 3 accepted Is there a geometric argument that the Legendre transform of a convex function is convex? Oct 7 asked Is there a geometric argument that the Legendre transform of a convex function is convex? Sep 1 comment Is there a simple way to bound this contour integral? Thanks for your comment. I realized that I was having a hard time phrasing my question. Now that I think about it, I wanted to be able to get a sharper estimation - I wanted to be able to get a feel for how $\int e^{-R^2 \cos2\theta} R \, d\theta$ behaves for large values of $R$ (even though to evaluate the original integral, we just needed to show this was $o(1)$). But like you said, this estimation isn't too bad. How did you get that estimate of yours? Sep 1 comment Bounding a function by its second derivative using Fourier series I am sorry, but I am confused. I am asking if there is a way to bound a function by its second derivative with Fourier series, not when a function has a Fourier series. Sep 1 asked Is there a simple way to bound this contour integral? Aug 29 accepted Proving the mean value property of harmonic functions using distributions? Aug 29 asked Bounding a function by its second derivative using Fourier series Aug 18 answered How to show that e.g. $\cos(z)$ is analytic using Cauchy- Riemann differential equations? Aug 9 comment Proving the mean value property of harmonic functions using distributions? Thank you! This was really easy to follow! One question I have is: how do we generalize this argument to higher dimensions? I know the radial component of $\Delta \phi$ will be $\phi_{rr}+\frac{n-1}{r}\phi_r$, but why is the integral of the remaining part zero? Aug 8 asked Proving the mean value property of harmonic functions using distributions? Jan 20 comment Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Thank you! I had not thought about the structure of $G$ at all. Jan 20 accepted Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Jan 19 asked Fundamental domain for the group of transformations generated by $\tau \mapsto \tau + 2$ and $\tau \mapsto -1/\tau$ Jan 16 awarded Yearling Nov 20 accepted Can the word “derive” be used to mean “take the derivative of”? Nov 9 asked Can the word “derive” be used to mean “take the derivative of”? Nov 6 answered Is there a methodical way to compute Euler's Phi function Sep 10 accepted How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? Sep 9 awarded Nice Question Sep 8 comment How to show that $\lim\limits_{x \to \infty} f'(x) = 0$ implies $\lim\limits_{x \to \infty} \frac{f(x)}{x} = 0$? This is really nice! Thanks!