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 2 Showing $f(x)=\sum_{n=1}^{\infty}{\sin\left(\frac{x}{n^2}\right)}$ is continuous. 1 Graph isomorphism as permutation matrix. 0 Is there a solution to the definite integral, $\int\limits_{0}^{\infty} \frac{1}{x^{\frac{1}{n}}}\frac{1}{1+x^2}\mathrm{d}x$ where, $n \in \mathbb{N}$ -2 Order of a set $X$ acted upon transitively by the Symmetric Group

### Reputation (75)

 +10 Define integral for $\gamma,\zeta(i) i\in\mathbb{N}$ and Stirling numbers of the first kind +10 Graph isomorphism as permutation matrix. +5 Summation of divergent series of Euler: $0!-1!+2!-3!+\cdots$ -2 Order of a set $X$ acted upon transitively by the Symmetric Group

### Questions (4)

 10 Summation of divergent series of Euler: $0!-1!+2!-3!+\cdots$ 5 Define integral for $\gamma,\zeta(i) i\in\mathbb{N}$ and Stirling numbers of the first kind 1 Is it true, that $H^1(X,\mathcal{K}_{x_1,x_2})=0$? - The cohomology of the complex curve with a coefficient of the shaeaf of meromorphic functions… 0 Extention of vector bundles on projective line: $Ext^1({\mathcal O_{\mathbb{P}^1}}(n),{\mathcal O_{\mathbb{P}^1}}(m))=$??

### Tags (24)

 2 sequences-and-series × 3 1 graph-theory 2 real-analysis × 2 0 homological-algebra × 2 2 analysis × 2 0 approximation 2 trigonometry 0 complex-analysis 2 convergence 0 divergent-series

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 Mathematics 75 rep 9 MathOverflow 6 rep 2