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Norm: $$ ||x|| = \sqrt{\sum_n x_n^2} = \sqrt{2} $$ Distance between two sequences is given by: $$ d = \langle x,y \rangle = \sum_n x_n y_n $$ Cauchy-Schwarz: $$ | \langle x,y \rangle | \leq ||x|| . ||y|| = 2 $$
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Sun, 03 Nov 2013 09:34 GMT