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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 Taxol total synthesis. [5] This reaction is very ...
In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...
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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. Pennsylvania borders Delaware to its southeast, Maryland to its south, West Virginia to its southwest, Ohio and the ...
American Psycho is a 2000 satirical psychological horror film directed by Mary Harron, who co-wrote the screenplay with Guinevere Turner. Based on the 1991 novel by Bret Easton Ellis, it stars Christian Bale as Patrick Bateman, a New York City investment banker who leads a double life as a serial killer. Willem Dafoe, Jared Leto, Josh Lucas, Chloë Sevigny, Samantha Mathis, Cara Seymour ...
Zalman Mordecai Shapiro (12 May 1920 – 16 July 2016) was an American chemist and inventor. He received 15 patents, including a 2009 patent on a process to make commercial production of diamonds cheaper, [1] and played a key role in the development of the reactor that powered the world's first nuclear powered submarine, the Nautilus. [2] [3]
The book takes the form of an edition of the play The Tragedy of Arthur, along with an extensive introduction and footnotes by Phillips, and additional notes by the publishers who argue for the play's authenticity. The introduction also serves as a memoir of the protagonist as he tells the story of his family and their connection to the apocryphal text.
ATSF 3000 class 2-10-10-2. The forward section of the boiler is a primitive superheater and feedwater heater. In 1911 and 1912, the Atchison, Topeka and Santa Fe Railway modified ten 2-10-2 Baldwin -built locomotives into a new 2-10-10-2 configuration dubbed the 3000 class. They were the largest locomotives in the world from their introduction ...
2-10-2. Under the Whyte notation for the classification of steam locomotives, 2-10-2 represents the wheel arrangement of two leading wheels, ten powered and coupled driving wheels, and two trailing wheels. In the United States and elsewhere the 2-10-2 is known as the Santa Fe type, after the Atchison, Topeka and Santa Fe Railway that first used ...
In mathematics, the Rudin–Shapiro sequence, also known as the Golay–Rudin–Shapiro sequence, is an infinite 2- automatic sequence named after Marcel Golay, Harold S. Shapiro, and Walter Rudin who investigated its properties. [1]