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Sumner Shapiro (January 13, 1926 – November 14, 2006) was a United States Navy rear admiral who served as Director of the Office of Naval Intelligence from 1978 to 1982. [ 4 ] Early life and education
Paul Robert Shapiro is an American astrophysicist. Shapiro earned a bachelor's degree and doctorate from Harvard University , in 1974 and 1978, respectively, [ 1 ] and began teaching at the University of Texas at Austin in 1981, after completing postdoctoral research at the Institute for Advanced Study . [ 2 ]
The first Shapiro P n (z) is the partial sum of order 2 n − 1 (where n = 0, 1, 2, ...) of the power series. f(z) := a 0 + a 1 z + a 2 z 2 + ... The Golay–Rudin–Shapiro sequence {a n} has a fractal-like structure – for example, a n = a 2n – which implies that the subsequence (a 0, a 2, a 4, ...) replicates the original sequence {a n}.
Laurie Gwen Shapiro is an American writer and filmmaker. She resides in New York City, where she was born and raised, and is a graduate of Stuyvesant High School . The 2001 documentary film Keep the River on Your Right: A Modern Cannibal Tale , which she co-produced and co-directed with her brother David, received numerous awards, [ 1 ] including:
Shapiro then attended Haverford College [2] and graduated cum laude from Harvard Law School in 1967. [3] From 1972 to 1974, Shapiro served as Maryland State Securities Commissioner. In 1972, he founded a Baltimore law firm now known as Shapiro Sher. [3] Subsequently, in 1976, Shapiro founded Shapiro, Robinson & Associates, [4] a
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]
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