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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 ...
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 ...
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.
Victor L. Shapiro. Victor Lenard Shapiro (16 October 1924, Chicago – 1 March 2013, Riverside, California) was an American mathematician, specializing in trigonometric series and differential equations. [1] He is known for his two theorems (published in 1957) on the uniqueness of multiple Fourier series. [2] [3]
Shapiro said the new 10-year strategy, will capitalize on the Commonwealth's strengths and reignite the state's economy. "For too long, Pennsylvania's neighboring states have invested and focused ...
Shapiro syndrome is an extremely rare disorder consisting of paroxysmal hypothermia (due to hypothalamic dysfunction of thermoregulation), hyperhydrosis (sweating), and agenesis of the corpus callosum with onset typically on adulthood. The disease affects about 50 people worldwide.