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Louis Welles Shapiro (born 1941) is an American mathematician working in the fields of combinatorics and finite group theory. He is an emeritus professor at Howard University. Shapiro attended Harvard University for his undergraduate studies and then the University of Maryland, College Park for graduate school.
Montgomery Ward Catalog. Montgomery Wards Auto Express. Website. www .wards .com. Montgomery Ward is the name of two successive U.S. retail corporations. The original Montgomery Ward & Co. was a world-pioneering mail-order business and later a leading department store chain that operated between 1872 and 2001.
Shapiro polynomials. In mathematics, the Shapiro polynomials are a sequence of polynomials which were first studied by Harold S. Shapiro in 1951 when considering the magnitude of specific trigonometric sums. [1] In signal processing, the Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. [2]
Catalogue raisonné. A catalogue raisonné (or critical catalogue) is a comprehensive, annotated listing of all the known artworks by an artist either in a particular medium or all media. [2] The works are described in such a way that they may be reliably identified by third parties, and such listings play an important role in authentication.
Victor Lenard Shapiro (16 October 1924, Chicago – 1 March 2013, Riverside, California) was an American mathematician, specializing in trigonometric series and differential equations. He is known for his two theorems (published in 1957) on the uniqueness of multiple Fourier series .
Career [ edit] Shapiro was a leading mathematician and computer scientist at the RAND Corporation think tank from 1959 until 1999. In the late 1960s and early 1970s Shapiro was the lead designer of one of the first computer-based mapping and cartography systems. In the 1970s Shapiro co-designed the MH Message Handling System. [3]
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.
Rice–Shapiro theorem. In computability theory, the Rice–Shapiro theorem is a generalization of Rice's theorem, named after Henry Gordon Rice and Norman Shapiro. It states that when a semi-decidable property of partial computable functions is true on a certain partial function, one can extract a finite subfunction such that the property is ...
Thus u 108 = u 13 + 1 = u 3 + 1 = u 1 + 2 = u 0 + 2 = 2, which can be verified by observing that the binary representation of 108, which is 1101100, contains two sub-strings 11. And so r 108 = (−1) 2 = +1. A 2-uniform morphism that requires a coding to generate the Rudin-Shapiro sequence is the following:
Zorya Yakovlevna Shapiro (Russian: Зоря Яковлевна Шапиро; 7 December 1914 – 4 July 2013) was a Soviet mathematician, educator and translator. She is known for her contributions to representation theory and functional analysis in her collaboration with Israel Gelfand , and the Shapiro-Lobatinski condition in elliptical ...