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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.
Shapero was born in Lynn, Massachusetts, on April 29, 1920. He and his family later moved to nearby Newton. He learned to play the piano as a child, and for some years was a pianist in dance orchestras. [1] With a friend, he founded the Hal Kenny Orchestra, a swing-era jazz band. He was more interested in classical music.
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Andrew Shapiro is a Brown University and Yale Law School graduate. While at Yale, he was co-editor-in-chief of The Yale Journal of Law & the Humanities. He later was a contributing editor for The Nation magazine. He has served as director of the Aspen Institute Internet Policy Project. In 1992 Andrew authored We're Number One!:
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Mark Shapiro ( / ʃəˈpaɪroʊ /; born April 3, 1967) is an American professional baseball executive, currently working as the president and CEO of the Toronto Blue Jays of Major League Baseball (MLB). He worked with the Cleveland Indians from 1991 to 2015, beginning in player development and ending as team president.