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Ascher Herman Shapiro (May 20, 1916 – November 26, 2004) was a professor of Mechanical Engineering at MIT. He grew up in New York City. He grew up in New York City. Early life and education [ edit ]
Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: If each box of a brand of cereals contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be ...
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]
Arthur K. Shapiro, M.D., (January 11, 1923 – June 3, 1995) was an American psychiatrist and expert on Tourette syndrome. His "contributions to the understanding of Tourette syndrome completely changed the prevailing view of this disorder"; [2] he has been described as "the father of modern tic disorder research" [3] and is "revered by his ...
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]
As of 2010, 90.2% (10,710,239) of Pennsylvania residents age five and older spoke English at home as a primary language while 4.1% (486,058) spoke Spanish, 0.9% (103,502) spoke German including Pennsylvania Dutch, and 0.5% (56,052) spoke Chinese, which includes Mandarin of the population over the age of five.
David Michael Koechner (/ ˈ k ɛ k n ər / KEK-nər; born August 24, 1962) is an American actor and comedian. He is best known for playing roles such as Champ Kind in the Anchorman films and Todd Packer on The Office series.
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