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Let \(a_1,a_2,\dots,a_{12}\) be real numbers such that \(a_1 + a_2 + \dots + a_{12} = 1\). Find the minimum value of \(a_1^2 + a_2^2 + \dots + a_{12}^2\).

 Nov 11, 2019
 #1
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The minimum value is sqrt(3)/12.

 Nov 12, 2019

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