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Memoryless property and geometric distribution

Dec 19, 2014

How many ways can seven people sit around a circular table?

Dec 16, 2014

How did Euler realize $x^4-4x^3+2x^2+4x+4=(x^2-(2+\alpha)x+1+\sqrt{7}+\alpha)(x^2-(2-\alpha)x+1+\sqrt{7}-\alpha)$?

Feb 15, 2015

Proof of a Ramanujan Integral

Feb 18, 2015

Compute $\int_{0}^{1} \frac{\ln(x)}{(x+1)^2} \mathrm dx$

Sep 10, 2015

Questions

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$f : [0,\infty) → \mathbb{R}$ with $f(0) = f'(0) = 0$ and $f(x) < x^2$ and $f',f'',f''' > 0$?

Jan 17, 2019

lower bound for a function of $\Gamma$

Jan 4, 2017

minimum eigenvalue for difference of two matrices

Jul 29, 2015

how do I find the general term here?

Sep 3, 2015

is it for granted that $\log x$ grows slower than $x^a$?

Sep 30, 2015

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+10

Evaluate the sum $\sum_{n=0}^\infty \frac{x^{2n+1}}{(2n+1)!}$

+10

Trying to solve the trig equation $\sqrt{3+4\cos^2(x)}=\frac{\sin(x)}{\sqrt 3}+3\cos(x)$

+10

Closed-form of integral $\int_0^1 \int_0^1 \frac{\arcsin\left(\sqrt{1-s}\sqrt{y}\right)}{\sqrt{1-y} \cdot (sy-y+1)}\,ds\,dy $

+15

A different solution for checking convergence of $a_n=\frac{1}{n^2}+\frac{1}{(n+1)^2}+\dots+\frac{1}{(2n)^2}$

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