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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 ...
Staples's logo from 1998 to 2019. Staples Inc. is an American office supply retail company headquartered in Framingham, Massachusetts . Founded by Leo Kahn and Thomas G. Stemberg, the company opened its first store in Brighton, Massachusetts on May 1, 1986. [5] By 1996, it had reached the Fortune 500, and it later acquired the office supplies ...
Irwin Ira Shapiro is an American astrophysicist and Timken University Professor at Harvard University. He has been a professor at Harvard since 1982. [2] He was the director of the Center for Astrophysics | Harvard & Smithsonian from 1982 to 2004.
In addition to her escalating feud with Shapiro, Owens also recently spread unsubstantiated claims that French President Emmanuel Macron’s wife, Brigitte Marie-Claude Macron, is a transgender woman.
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.
The Sharpless catalog is a list of 313 H II regions (emission nebulae) intended to be comprehensive north of declination −27°. (It does include some nebulae south of that declination as well.) The first edition was published in 1953 with 142 objects (Sh1), and the second and final version was published by US astronomer Stewart Sharpless in ...