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metamorphy

Twice as old as on the photo.

Intuition is often a good guide but a bad prophet.
"Obvious" is what is easy to prove, not what is hard to refute.

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27 Prove that the quantity is an integer Oct 7 '18
17 Integral of Binomial Coefficient Sep 26 '18
15 Shannon entropy of a fair dice Sep 14 '18
15 Proving $\prod_{n=1}^{\infty}\left(1+\frac{1}{n^{3}}\right)=\frac{1}{\pi}\cosh\frac{\pi\sqrt{3}}{2}$ Jan 27
14 How to minimise the cost of guessing a number in a high/low guess game? May 11 '19
14 Evaluate $\lim\limits_{n \to \infty}\frac{(-1)^n}{n!}\int_0^n (x-1)(x-2)\cdots(x-n){\rm d}x$ Jul 4 '20
13 Analytic continuation of $\Phi(s)=\sum_{n \ge 1} e^{-n^s}$ Aug 30 '20
12 Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$ Mar 7 '20
10 A Wallis-like formula for $\pi$: $(\frac21)^2(\frac23)^2(\frac43)^2(\frac45)(\frac65)^2(\frac67)^2(\frac87)(\frac89)^2\cdots$ Oct 22 '19
10 Is the following set dense in $L^2$? Nov 5 '18
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