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Group (mathematics) The manipulations of the Rubik's Cube form the Rubik's Cube group. In mathematics, a group is a set with an operation that satisfies the following constraints: the operation is associative and has an identity element, and every element of the set has an inverse element. Many mathematical structures are groups endowed with ...
In August 2015 MarketCast acquired the Insight Strategy Group. In August 2017, MarketCast acquired Fizziology, a data analytics company based in Indianapolis, and in 2018 it bought Turnkey Intelligence, a sports research firm. As a result of these four acquisitions MarketCast began to operates through four consumer insights branches.
Yehuda Meir Shapiro ( Polish: Majer Jehuda Szapira; 3 March 1887 – 27 October 1933) was a prominent Polish Hasidic rabbi and rosh yeshiva, also known as the Lubliner Rav. He is noted for his promotion of the Daf Yomi study program in 1923, and establishing the Chachmei Lublin Yeshiva in 1930. During the years 1922 to 1927 Shapiro was the ...
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.
Daniel Benjamin " Dan " Shapiro [1] (born August 1, 1969) is an American diplomat who served as United States Ambassador to Israel from 2011 to 2017. He was nominated by President Barack Obama on March 29, 2011, and confirmed by the Senate on May 29. [2] [3] He was sworn in as ambassador by Secretary of State Hillary Clinton on July 8, 2011. [4]