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 May 14 revised Is $M=\{(x,y)\in (0,\infty )\times\mathbb{R} : y=\sin(\frac{1}{x}) \}$ a closed set in space $((0,\infty )\times\mathbb{R} ,\rho_{e})$? mistaping deletation May 14 revised Is $M=\{(x,y)\in (0,\infty )\times\mathbb{R} : y=\sin(\frac{1}{x}) \}$ a closed set in space $((0,\infty )\times\mathbb{R} ,\rho_{e})$? added 65 characters in body May 9 revised Find all limit points of $M=\left \{ \frac{1}{n}+\frac{1}{m}+\frac{1}{k} : m,n,k \in \mathbb{N} \right \}$ in space $(M,\rho_{e})$ added 41 characters in body May 9 revised Find all limit points of $M=\left \{ \frac{1}{n}+\frac{1}{m}+\frac{1}{k} : m,n,k \in \mathbb{N} \right \}$ in space $(M,\rho_{e})$ added 12 characters in body; edited title May 7 revised Is my proof for $\sum_{i=1}^{n}x_{i}y_{i}\leq \sqrt{\sum_{i=1}^{n}x_{i}^{2}\sum_{i=1}^{n}y_{i}^{2}}$ correct? added 150 characters in body May 7 revised Is my proof for $\sum_{i=1}^{n}x_{i}y_{i}\leq \sqrt{\sum_{i=1}^{n}x_{i}^{2}\sum_{i=1}^{n}y_{i}^{2}}$ correct? deleted 28 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 72 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 72 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 3 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 3 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 3 characters in body May 7 revised Proof by induction of triangle inequality in Hilbert space. added 576 characters in body May 6 revised Is $\pi$ periodic in any numeral system? added 28 characters in body Apr 11 revised When is this equation true? added 1 characters in body Apr 11 revised When is this equation true? added 53 characters in body Apr 10 revised Is it equation true - limit added 21 characters in body Apr 10 revised Is it equation true - limit added 1 characters in body Apr 10 revised Is it equation true - limit added 42 characters in body