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In mathematics, the Weierstrass product inequality states that for any real numbers 0 ≤ a1,..., an ≤ 1 we have
where S n = a 1 + a 2 + a 3 + a 4 + . . . . + a n . {\displaystyle S_{n}=a_{1}+a_{2}+a_{3}+a_{4}+....+a_{n}.}
The inequality is named after the German mathematician Karl Weierstrass. It can be proven easily via mathematical induction.
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