Mathematics
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metamorphy
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About

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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All Questions Answers
Score Newest
answer
28
Prove that the quantity is an integer
Oct 7, 2018
answer
17
Prove $\sum_{n=1}^{\infty} \arctan\left(\frac{1}{F_n}\right) \arctan\left(\frac{1}{F_{n+1}}\right)=\frac{\pi^2}{8}$
Apr 4, 2021
answer
17
Integral of Binomial Coefficient
Sep 26, 2018
answer
17
How to evaluate $\int_{-\infty}^{\infty}e^{x-n\sinh^2 x}\ dx$
Aug 13, 2021
answer
16
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, 2020
answer
16
Shannon entropy of a fair dice
Sep 14, 2018
answer
15
Analytic continuation of $\Phi(s)=\sum_{n \ge 1} e^{-n^s}$
Aug 30, 2020
answer
15
Proving $\prod_{n=1}^{\infty}\left(1+\frac{1}{n^{3}}\right)=\frac{1}{\pi}\cosh\frac{\pi\sqrt{3}}{2}$
Jan 27, 2021
answer
14
How to minimise the cost of guessing a number in a high/low guess game?
May 11, 2019
answer
14
Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$
Mar 7, 2020

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