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The Kronecker Symbol $\left(\frac nm\right)$ has a range of $\{-1,0,1\}$ and $\sum\limits_{n=1}^\infty\frac{(-1)^n}n=-\ln(2)$, so we combine to find the following with the using software: $$\sum_{n=1}^\infty \frac {\left(\frac 2n\right)}n=\sum_{n=1}^\infty \frac {\left(\frac n2\right)}n=\frac{\si... 15 hours later… 4:55 PM A new tag was created. 1 Given a collection of topological spaces$$ \mathfrak X:=\{X_\sigma:\sigma\in\Sigma\} $$we let consider the natural inclusion$$ \iota_\sigma: X_\sigma\ni x_\sigma\longrightarrow(x_\sigma,\sigma)\in\coprod_{\sigma\in\Sigma}X_\sigma  Well I would like to understand if a function $f$ form \$\copr...