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Physics
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Guillermo
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Ivan Loh Laila Podlesny

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15
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
14
How to calculate $\int_{0}^{1}(\arcsin{x})(\sin{\frac{\pi}{2}x})dx$?
13
Find the value $\sum_{n=1}^{\infty}(e-(1+\frac{1}{n})^n)$
11
$\int_{\mathbb{R}}|f(t)|^2dt=\int_{\mathbb{R}}|f'(t)|^2dt$ implies $f(t)=\mathbb{x}_{i}|f(t)|$
9
prove that the entire function f is a polynomial.