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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 ...
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.
Shapiro's work on feminism and fatherhood has been well received. The New York Times Book Review called it "utterly mind-blowing". [30] In 2022, United States Air Force four-star general Anthony J. Cotton celebrated Shapiro's views on masculinity and feminism, inviting him to be the keynote speaker at the Air Force Global Strike Command 's ...
Sky Atlantic (UK) Release. May 6. ( 2019-05-06) –. June 3, 2019. ( 2019-06-03) Chernobyl is a 2019 historical drama television miniseries that revolves around the Chernobyl disaster of 1986 and the cleanup efforts that followed. The series was created and written by Craig Mazin and directed by Johan Renck.
Fred Richard Shapiro is an American legal scholar and academic working as the editor of The Yale Book of Quotations, The Oxford Dictionary of American Legal Quotations, and several other books. Education [ edit ]
Pennsylvania ( / ˌpɛnsɪlˈveɪniə / ⓘ, lit. 'Penn's forest country' ), officially the Commonwealth of Pennsylvania [b] ( Pennsylvania Dutch: Pennsylvanie ), [7] is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States.