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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 )} .
Counterfeit watch. A counterfeit watch (or replica watch) is an unauthorised copy of an authentic watch. High-end luxury watches such as Rolex, Patek Philippe and Richard Mille are frequently counterfeited and sold on city streets and online. [1] With technological advancements, many non-luxury and inexpensive quartz watches are also commonly ...
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 .
Shapiro's lemma. In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a subgroup.
The Gruen Watch Company was formerly one of the largest watch manufacturers in the United States. It was in business from about 1894 to 1958 and was based in Cincinnati, Ohio. It was founded in 1894 by German-born watchmaker Dietrich Grün, who changed the spelling of his name to "Gruen" because the letter ü does not exist in English. [1]
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 ...
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