Math

The Cauchy-Schwarz Inequality

If $x_1, \ldots, x_n, y_1, \ldots y_n \in \real$ , then

$$\left(\sum_{k=1}^n x_ky_k\right)^2 \le \left(\sum_{k=1}^n x_k^2\right)\left(\sum_{k=1}^n y_k^2\right).$$

Categories: Math

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