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Erik Satie
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Empress Elisabeth of Austria did maths .

She is famous for this integral :

$$\int_{0}^{\pi}Si(x)Si(x)dx$$

Wich is an unsolved problem .(lol)

Well I like maths at a amateur level and also Monty Python .My god in music is JS Bach played by Glenn Gould.I dislike philosophy .Now...I sleep.

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16 Charming approximation of $\pi$: $2\left(\frac{1}{2}\right)^{\phi/2}+2< \pi$, where $\phi$ is the golden ratio Jun 13
14 Solve $\int_{0}^{\infty}\ln\Big(\frac{\sin^2(x)}{x^2}+1\Big)dx=?$ Jun 9
13 Hard inequality :$\Big(\frac{1}{a^2+b^2}\Big)^2+\Big(\frac{1}{b^2+c^2}\Big)^2+\Big(\frac{1}{c^2+a^2}\Big)^2\geq \frac{3}{4}$ Sep 13 '19
11 Challenging integral $\int_{0}^{1}\frac{x\operatorname{li}(x)}{x^2+1}dx$ Apr 14
9 Inequality : $\Big(\frac{x^n+1+(\frac{x+1}{2})^n}{x^{n-1}+1+(\frac{x+1}{2})^{n-1}}\Big)^n+\Big(\frac{x+1}{2}\Big)^n\leq x^n+1$ Sep 7 '19
9 Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$ Jul 15
8 Nested radical and rationality Jan 7
7 An olympiad-like inequality Oct 24 '19
7 Integral inequality $\int_{0}^{e}\operatorname{W(x)^{\pi}}>1$ Mar 24
7 Conjecture Prove that : $\sum_{cyc}\frac{a}{a^n+1}\leq \sum_{cyc}\frac{a}{a^2+1}\leq \frac{3}{2}$ Apr 12
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