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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:
Paul Shapiro (brother) [1] Ryan Noah Shapiro (born 1976) [citation needed] is a doctoral student at the Massachusetts Institute of Technology Doctoral Program in History, Anthropology, Science, Technology, and Society (HASTS), a U.S. Freedom of Information Act (FOIA) researcher, and an advocate for animal rights. [2] [3]
Stewart Shapiro (/ ʃ ə ˈ p ɪər oʊ /; born 1951) is O'Donnell Professor of Philosophy at the Ohio State University and distinguished visiting professor at the University of Connecticut. He is a figure in the philosophy of mathematics where he defends the abstract variety of structuralism .
Jeffrey Scott Shapiro (born April 27, 1973) is a practicing American attorney and nationally recognized investigative journalist who has reported on several high-profile criminal and political cases, often defending people who become targets of the tabloid media. He currently writes legal analysis for The Washington Times and previously served ...
Thomas M. Shapiro (born 1947) is a professor of Sociology and Public Policy at Brandeis University and is the author of The Hidden Cost of Being African American and the co-author of Black Wealth/White Wealth. Shapiro's current professional titles include the Pokross Professor of Law and Social Policy and the Director of the Institute on Assets ...
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 ...