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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.
Career [ edit] Shapiro was a leading mathematician and computer scientist at the RAND Corporation think tank from 1959 until 1999. In the late 1960s and early 1970s Shapiro was the lead designer of one of the first computer-based mapping and cartography systems. In the 1970s Shapiro co-designed the MH Message Handling System. [3]
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ISO 3166-1 ( Codes for the representation of names of countries and their subdivisions – Part 1: Country codes) is a standard defining codes for the names of countries, dependent territories, and special areas of geographical interest. It is the first part of the ISO 3166 standard published by the International Organization for Standardization .
Ruby Franke. Ruby Franke ( née Griffiths; [1] born January 18, 1982) [2] [3] [4] is an American former family vlogger who ran the now defunct YouTube channel called 8 Passengers. On August 30, 2023, Ruby Franke and Jodi Hildebrandt were arrested in Washington County, Utah, and charged with six counts of aggravated child abuse of two of Franke ...
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 .