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Robert H. Shapiro (July 18, 1935 – August 21, 2004) was an American chemist and the first provost of the United States Naval Academy. Education and career [ edit ] After serving with both the United States Navy and the United States Marine Corps , Shapiro earned degrees in chemistry and pharmacy at the University of Connecticut , and then ...
Fred Richard Shapiro is an American legal scholar and academic working as the editor of The Yale Book of Quotations, The Oxford Dictionary of American Legal Quotations, and several other books. Education [ edit ]
Statement of the inequality. Suppose is a natural number and are positive numbers and: Then the Shapiro inequality states that. where and . For greater values of the inequality does not hold, and the strict lower bound is with . The initial proofs of the inequality in the pivotal cases [2] and [3] rely on numerical computations.
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