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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 ...
The 1981 NCAA Division I lacrosse tournament was the 11th annual tournament hosted by the National Collegiate Athletic Association to determine the team champion of men's college lacrosse among its Division I programs at the end of the 1981 NCAA Division I lacrosse season. North Carolina capped off a 12-0 season with its first-ever NCAA ...
dollartree .com. Dollar Tree stores in the U.S., as of December 2020 [4] Dollar Tree, Inc. is an American multi-price-point chain of discount variety stores. Headquartered in Chesapeake, Virginia, it is a Fortune 500 (sometimes referred to as Fortune 200) company and operates 15,115 stores throughout the 48 contiguous U.S. states and Canada. [1]
In December 2017, the Woodbridge Group of Companies (a/k/a Woodbridge Securities) was charged as an alleged US$1.2 billion Ponzi scheme run by real estate developer Robert H. Shapiro (not to be confused with attorney Robert L. Shapiro) by The U.S. Securities and Exchange Commission (SEC).
Seymour Lester Shapiro (1916 - 1961) was an organic chemist best known for his pioneering work on a class of drugs used to treat symptoms of adult-onset diabetes. Phenformin was marketed under the name "DBI" until it was taken off the market after being linked to increased incidence of lactic acidosis, a potentially fatal condition.
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.