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The Shapiro reaction or tosylhydrazone decomposition is an organic reaction in which a ketone or aldehyde is converted to an alkene through an intermediate hydrazone in the presence of 2 equivalents of organolithium reagent. [1] [2] [3] The reaction was discovered by Robert H. Shapiro in 1967. [4] The Shapiro reaction was used in the Nicolaou ...
Academic career. Shapiro is a speaker, author and tenured professor at Santa Clara University's graduate department of Counseling Psychology. [1] Shapiro is also faculty at the Esalen Institute, and adjunct faculty at Andrew Weil's Program of Integrative Medicine at the University of Arizona Medical Center (2000-2004). [1]
The Rudin–Shapiro sequence was introduced independently by Golay, Rudin, and Shapiro. The following is a description of Rudin's motivation. In Fourier analysis , one is often concerned with the L 2 {\displaystyle L^{2}} norm of a measurable function f : [ 0 , 2 π ) → [ 0 , 2 π ) {\displaystyle f\colon [0,2\pi )\to [0,2\pi )} .
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]
Jack Shapiro. Jack Emanuel "Soupy" Shapiro (March 22, 1907 – February 5, 2001) was an American gridiron football player who played in one game with the Staten Island Stapletons of the National Football League (NFL) in 1929. Shapiro is most famous for being the shortest player in NFL history at about 5 ft 1 in (1.55 m).
Susan Shapiro is the American author of 17 books, including The Byline Bible, Five Men Who Broke My Heart, Only as Good as Your Word, Lighting Up, Speed Shrinking, and What's Never Said, and coauthor of The Bosnia List and the New York Times bestseller Unhooked .
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