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Gary J. Shapiro is an American author and lobbyist who is the president and CEO of the Consumer Technology Association.Shapiro is the author of the books Ninja Future: Secrets to Success in the New World of Innovation (2019), Ninja Innovation: The Ten Killer Strategies of the World’s Most Successful Businesses (William Morrow, 2013) and The Comeback: How Innovation Will Restore the American ...
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 ...
Consumer Reports. Consumer Reports ( CR ), formerly Consumers Union ( CU ), is an American nonprofit consumer organization dedicated to independent product testing, investigative journalism, consumer-oriented research, public education, and consumer advocacy. [2] Founded in 1936, CR was created to serve as a source of information that consumers ...
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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.