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Test.

\[ \left( \sum_{k=1}^n a_k b_k \right)^2 \]

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\[ \left|\sum_{i=1}^n a_ib_i\right| \le \left(\sum_{i=1}^n a_i^2\right)^{1/2} \left(\sum_{i=1}^n b_i^2\right)^{1/2} \]