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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 ...
Robert H. Shapiro (July 18, 1935 – August 21, 2004) was an American chemist and the first provost of the United States Naval Academy. Education and career [ edit ] After serving with both the United States Navy and the United States Marine Corps , Shapiro earned degrees in chemistry and pharmacy at the University of Connecticut , and then ...
A mechanical watch is a watch that uses a clockwork mechanism to measure the passage of time, as opposed to quartz watches which function using the vibration modes of a piezoelectric quartz tuning fork, or radio watches, which are quartz watches synchronized to an atomic clock via radio waves. A mechanical watch is driven by a mainspring which ...
Zodiac Watches, or simply Zodiac, is an American brand of Swiss-made watches founded in 1882 by Ariste Calame in Le Locle, Switzerland. The company mostly focuses on its dive watches through its Sea Wolf line, [2] one of the first modern dive watches, which debuted in 1953, before the Rolex Submariner and after Blancpain Fifty Fathoms. [3]
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 ...
Stuart S. Shapiro is a producer, writer, director, and Internet entrepreneur. Shapiro began his career as an independent film distributor in 1974 by starting International Harmony which distributed cult classics TunnelVision, Neil Young 's Rust Never Sleeps, Bob Marley 's Reggae Sunsplash, The Sex Pistols ' DOA, and Tarzoon: Shame of the Jungle.
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 )} .
The Shapiro–Wilk test tests the null hypothesis that a sample x1, ..., xn came from a normally distributed population. The test statistic is. where. with parentheses enclosing the subscript index i is the i th order statistic, i.e., the i th-smallest number in the sample (not to be confused with ). is the sample mean.
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