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Ian Shapiro (born September 29, 1956) is an American legal scholar and political scientist who serves as the Sterling Professor of Political Science at Yale University. He served as the Henry R. Luce Director of the MacMillan Center at Yale University from 2004 to 2019. He is known primarily for interventions in debates on democracy and on ...
The Huntington Library, Art Museum and Botanical Gardens, known as The Huntington, [a] is a collections-based educational and research institution established by Henry E. Huntington and Arabella Huntington in San Marino, California. In addition to the library, the institution houses an extensive art collection with a focus on 18th and 19th ...
Aaron Shapiro is an American entrepreneur, marketing executive, and investor based in New York City. Shapiro co-founded the email marketing software company Silverpop in 1999. [1] In 2005 he joined the experience design and digital marketing agency Huge as one of four co-founders, becoming CEO in 2010. [2]
Life and career. Shapiro was born in New Jersey. Spending his early years in New York City and New Jersey, Shapiro started his career in the early 1980s as a comedian at Catch A Rising Star on Broadway. [2] Besides performing regularly on stage, [2] throughout the 1990s he acted and starred in numerous films by Louis CK, including Tomorrow ...
"James Shapiro is the winner of the £30,000 BBC Four Samuel Johnson Prize for Non-Fiction 2006", BBC Four. James Shapiro: Passion and Prejudice: The Lessons of Oberammergau Archived 2005-12-25 at the Wayback Machine, Great Lecture Library (biography; mp3-download available for a fee), July 15, 2002.
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.