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  2. Stewart Shapiro - Wikipedia

    en.wikipedia.org/wiki/Stewart_Shapiro

    Stewart Shapiro (/ ʃ ə ˈ p ɪər oʊ /; born 1951) is O'Donnell Professor of Philosophy at the Ohio State University and distinguished visiting professor at the University of Connecticut. He is a figure in the philosophy of mathematics where he defends the abstract variety of structuralism .

  3. Shapiro inequality - Wikipedia

    en.wikipedia.org/wiki/Shapiro_inequality

    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.

  4. Robert H. Shapiro - Wikipedia

    en.wikipedia.org/wiki/Robert_H._Shapiro

    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 ...

  5. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: If each box of a brand of cereals contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be ...

  6. Fred R. Shapiro - Wikipedia

    en.wikipedia.org/wiki/Fred_R._Shapiro

    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 ]

  7. Ascher H. Shapiro - Wikipedia

    en.wikipedia.org/wiki/Ascher_H._Shapiro

    Ascher Herman Shapiro (May 20, 1916 – November 26, 2004) was a professor of Mechanical Engineering at MIT. He grew up in New York City. He grew up in New York City. Early life and education [ edit ]

  8. Rationing in the United States - Wikipedia

    en.wikipedia.org/wiki/Rationing_in_the_United_States

    Rationing is the controlled distribution of scarce resources, goods, or services, or an artificial restriction of demand. Rationing controls the size of the ration, which is one person's allotted portion of the resources being distributed on a particular day or at a particular time. Rationing in the United States was introduced in stages during ...

  9. Rudin–Shapiro sequence - Wikipedia

    en.wikipedia.org/wiki/Rudin–Shapiro_sequence

    Thus u 108 = u 13 + 1 = u 3 + 1 = u 1 + 2 = u 0 + 2 = 2, which can be verified by observing that the binary representation of 108, which is 1101100, contains two sub-strings 11. And so r 108 = (−1) 2 = +1. A 2-uniform morphism that requires a coding to generate the Rudin-Shapiro sequence is the following: