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Results tagged with cauchy-schwarz-inequality
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user 85550
The Cauchy-Schwarz inequality states $|\langle x,y \rangle |\leq ||x||\cdot ||y||.$ Use this tag for questions related to the CS inequality and its applications.
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A probabilistic angle inequality
Normalize $q$ such that $q^Tq=1$ and $q_i\geq 0$, for all $i=1,\ldots,n$. Let $X_i=q_ip_i$, $i=1,\ldots,n$. We must find an absolute constant $c>0$ such that
$$P\left(c\left(\sum_i X_i\right)^2\geq \ …
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