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Scott Jonathan Shapiro is the Charles F. Southmayd Professor of Law and Philosophy at Yale Law School and the Director of Yale's Center for Law and Philosophy and of the Yale CyberSecurity Lab. He received his B.A. in philosophy from Columbia College , [1] his J.D. from Yale Law School, and his Ph.D. in philosophy from Columbia University .
Life. He was born on November 27, 1908, [1] the son of Jacob Shapiro and Fanny (Rosenthal) Shapiro. He attended Syracuse University College of Law. He established and ran a paper products wholesale company in Oswego, New York. [2] Shapiro was Mayor of Oswego from 1960 to 1967; and an alternate delegate to the 1964 Democratic National Convention.
Gerald M. Shapiro (born 1942 in Philadelphia) is an American composer of acoustic and electronic music. Shapiro studied first at the Eastman School of Music, where he received a Bachelor of Music degree with distinction in 1964. He then did graduate work at Mills College, where he received an M.A. in 1967, the University of California, Davis ...
Shapiro, and its variations such as Shapira, Schapiro, Schapira, Sapir, Sapira, Spira, Spiro, Sapiro, Szapiro/Szpiro in Polish and Chapiro in French (more at "See also"), is a Jewish Ashkenazi surname.
Robert J. Shapiro. Robert J. Shapiro (born 1953) is the cofounder and chairman of Sonecon, LLC, a United States private consultancy for economic and security-related issues that has built a reputation on a range of policy matters, including climate change, intellectual property, securities fraud, healthcare reform, demographics, the resilience ...
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.