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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 ...
Pairs. Julia Shapiro (born 16 December 1984) is a former pair skater who competed for Russia and Israel. Early in her career, she represented Russia with Igor Petrov, Alexei Sokolov, and Dmitri Khromin. With Sokolov, she is the 2000 World Junior bronze medalist. From 2002 to 2005, Shapiro competed with Vadim Akolzin for Israel.
Shapiro was the author or co-author of 70 articles in scientific journals specializing in organic and pharmaceutical chemistry. The subject range included blood chemistry, anesthetics, androgens, biguanides, diuretics, indanols, indandiones, triazines and others. A total of 76 patents bear his name as inventor or co-inventor, all on subjects ...
Josh Shapiro. Joshua David Shapiro [1] (born June 20, 1973 [2]) is an American politician and attorney who has served as the 48th governor of Pennsylvania since 2023. A member of the Democratic Party, he served as the 50th Pennsylvania attorney general from 2017 to 2023 and as a member of the Montgomery County Board of Commissioners from 2012 ...
The Shapiro–Wilk test tests the null hypothesis that a sample x1, ..., xn came from a normally distributed population. The test statistic is. where. with parentheses enclosing the subscript index i is the i th order statistic, i.e., the i th-smallest number in the sample (not to be confused with ). is the sample mean.
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 ...