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Results tagged with cauchy-schwarz-inequality
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user 766
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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Can the fact that the square of an integer is a natural number be categorified?
If $a$ and $b$ are natural numbers, then $a-b$ is an integer and so the square $(a-b)^2$ is a natural number. In particular
$$ (a-b)^2 \geq 0. \qquad (1)$$
Combining this fact with the identity
$$ …
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