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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 ...
Shapiro's lemma. In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a subgroup.
Ben Shapiro. Benjamin Aaron Shapiro (born January 15, 1984) is an American lawyer, columnist, author, and conservative political commentator. He writes columns for Creators Syndicate, Newsweek, and Ami Magazine, and serves as editor emeritus for The Daily Wire, which he co-founded in 2015. Shapiro is the host of The Ben Shapiro Show, a daily ...
Rami M. Shapiro (26 April 1951), commonly called "Rabbi Rami", is an American Reform rabbi, author, teacher, and speaker on the subjects liberal Judaism and contemporary spirituality. [3] Early life and education [ edit ]
Coupon. In marketing, a coupon is a ticket or document that can be redeemed for a financial discount or rebate when purchasing a product . Customarily, coupons are issued by manufacturers of consumer packaged goods [1] or by retailers, to be used in retail stores as a part of sales promotions. They are often widely distributed through mail ...
Amazon was founded on July 5, 1994, by Jeff Bezos in Bellevue, Washington. [6] The company originally started as an online marketplace for books but gradually expanded its offerings to include a wide range of product categories. This diversification led to it being referred to as "The Everything Store". [7]
In 2008, in the 25–54 age group, Fox News had an average of 557,000 viewers, but dropped to 379,000 in 2013 while increasing its overall audience from 1.89 million in 2010 to 2.02 million in 2013. The median age of a prime-time viewer was 68 as of 2015 [update] . [100]
The Philippines is an archipelago of about 7,641 islands, [202] [203] covering a total area (including inland bodies of water) of about 300,000 square kilometers (115,831 sq mi).