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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 ...
Shapiro's work on feminism and fatherhood has been well received. The New York Times Book Review called it "utterly mind-blowing". [30] In 2022, United States Air Force four-star general Anthony J. Cotton celebrated Shapiro's views on masculinity and feminism, inviting him to be the keynote speaker at the Air Force Global Strike Command 's ...
James S. Shapiro (born 1955) is Professor of English and Comparative Literature at Columbia University who specializes in Shakespeare and the Early Modern period. Shapiro has served on the faculty at Columbia University since 1985, teaching Shakespeare and other topics, and he has published widely on Shakespeare and Elizabethan culture .
28 U.S.C. § 2284. Shapiro v. McManus, 577 U.S. ___ (2015), was a case in which the Supreme Court of the United States clarified when United States District Court judges must refer cases to three-judge panels. In a unanimous opinion written by Justice Antonin Scalia, the Court ruled that federal district courts are required to refer cases to a ...
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.
Florence Donald Shapiro (born May 2, 1948) [1] is an American politician from Texas. Her political career lasted over 30 years and coincided with Plano 's growth from a bedroom community of 17,000 to a city of almost 300,000 residents. After moving to Plano in 1972, she served on the Plano City Council from 1979 to 1990 and served as the city's ...
The Shapiro time delay effect, or gravitational time delay effect, is one of the four classic Solar System tests of general relativity. Radar signals passing near a massive object take slightly longer to travel to a target and longer to return than they would if the mass of the object were not present. The time delay is caused by time dilation ...
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 )} .
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