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Use the formula: rms(x)2 = avg(x)2 + std(x)2 to show that for any vector x, the...

Use the formula: rms(x)2 = avg(x)2 + std(x)2 to show that for any vector x, the following two inequalities hold: | avg(x)| ≤ rms(x), std(x) ≤ rms(x).

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