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David Shapiro (born November 25, 1946) is an American economist at the Pennsylvania State University. He joined the Penn State faculty [1] in 1980. He is a leading academic in the field of Economic Demography , specializing in fertility transition in sub-Saharan Africa and in the study of children's schooling in Africa.
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]
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 ...
Paul Robert Shapiro is an American astrophysicist. Shapiro earned a bachelor's degree and doctorate from Harvard University , in 1974 and 1978, respectively, [1] and began teaching at the University of Texas at Austin in 1981, after completing postdoctoral research at the Institute for Advanced Study . [2]
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Refael Shapiro. Rabbi Refael Shapiro (1837–1921) was the famed Rosh Yeshiva of the Volozhin yeshiva located in the town of Volozhin, Russia, (now Valozhyn, Belarus ), and a son-in-law of Rabbi Naftali Zvi Yehuda Berlin (the Netziv ). [1] After the Volozhin yeshiva was closed down in 1892 by order of the Russian government, he reopened it ...
Robert Leslie Shapiro (born September 2, 1942) is an American attorney and entrepreneur. He is best known for being the short-term defense lawyer of Erik Menéndez in 1990, and a member of the " Dream Team " of O. J. Simpson 's attorneys that successfully defended him from the charges that he murdered his ex-wife, Nicole Brown Simpson , and Ron ...
Shapiro was born in New York City and was raised in Norwalk, Connecticut. [1] He graduated from Brien McMahon High School in 1965. [1] Shapiro attended the University of Michigan, where he was an editor of The Michigan Daily; he earned his B.A. in history in 1970. [1] Shapiro completed post-graduate work at the university in European history ...