Mathematics
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Kirill
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All Questions Answers
Score Newest
answer
34
Closed form for $\int_0^\infty\left(\int_0^1\frac1{\sqrt{1-y^2}\sqrt{1+x^2\,y^2}}\mathrm dy\right)^3\mathrm dx.$
May 29, 2013
answer
31
How to calculate $\sum_{n=1}^\infty\frac{(-1)^n}n H_n^2$?
May 29, 2013
answer
28
Closed form for $\sum_{n=1}^\infty\frac{\psi(n+\frac{5}{4})}{(1+2n)(1+4n)^2}$
Jun 4, 2013
question
28
Approximate value of a slowly-converging sum of $\sum|\sin n|^n/n$
Jun 22, 2014
answer
26
Is there a simpler closed form for $\sum_{n=1}^\infty\frac{(2n-1)!!\ (2n+1)!!}{4^n\ (n+2)\ (n+2)!^2}$
May 27, 2013
answer
26
How to prove $\int_0^\infty J_\nu(x)^3dx\stackrel?=\frac{\Gamma(1/6)\ \Gamma(1/6+\nu/2)}{2^{5/3}\ 3^{1/2}\ \pi^{3/2}\ \Gamma(5/6+\nu/2)}$?
May 28, 2013
answer
24
Computing $\lim\limits_{n\to\infty} \Big(\sum\limits_{i = 1}^n \sum\limits_{j = 1}^n \frac1{i^2+j^2}-\frac{\pi}{2} \log(n)\Big)$.
Sep 25, 2014
answer
22
Conjecture $\int_0^1\frac{dx}{\sqrt[3]x\,\sqrt[6]{1-x}\,\sqrt{1-x\left(\sqrt{6}\sqrt{12+7\sqrt3}-3\sqrt3-6\right)^2}}=\frac\pi9(3+\sqrt2\sqrt[4]{27})$
Oct 25, 2013
answer
21
How to prove $4\times{_2F_1}(-1/4,3/4;7/4;(2-\sqrt3)/4)-{_2F_1}(3/4,3/4;7/4;(2-\sqrt3)/4)\stackrel?=\frac{3\sqrt[4]{2+\sqrt3}}{\sqrt2}$
May 24, 2013
answer
21
How can I prove this closed form for $\sum_{n=1}^\infty\frac{(4n)!}{\Gamma\left(\frac23+n\right)\,\Gamma\left(\frac43+n\right)\,n!^2\,(-256)^n}$
May 26, 2013
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34
How can I check tire pressure without a pressure gauge?
33
How to avoid catastrophic cancellation in python function?
24
Numerically stable way of computing angles between vectors
21
About faster approximation of log(x)
18
Interrupt evaluation and observe current stack in the emacs-lisp debugger?

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