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 May 7 accepted 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? 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 asked 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? May 7 comment Proof by induction of triangle inequality in Hilbert space. you look again on my proof ? 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 accepted Proof by induction of triangle inequality in Hilbert space. 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 comment Proof by induction of triangle inequality in Hilbert space. so information about that we are in l2 space is worth nothing ? so it's also true for Hilbert cube Q ? May 7 revised Proof by induction of triangle inequality in Hilbert space. added 576 characters in body May 7 asked Proof by induction of triangle inequality in Hilbert space. May 6 revised Is $\pi$ periodic in any numeral system? added 28 characters in body May 6 asked Is $\pi$ periodic in any numeral system? Apr 11 revised When is this equation true? added 1 characters in body Apr 11 comment When is this equation true? Thanks Anthales, I've made a few mistakes in my question. Apr 11 revised When is this equation true? added 53 characters in body Apr 11 asked When is this equation true? Apr 10 awarded Scholar