In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

Q: He proudly labeled the territorial acquisitions he engineered the "epocha," and he proposed a compromise solution to the slavery question, which would allow Florida to enter the union as a slave state but free all children born after 1842. He received the only electoral vote not to go to James Monroe in 1820, and he later nominated his Treasury Secretary Richard Rush as his new Vice-Presidential candidate in his re-election campaign after his former understudy bolted to his opponent's ticket. Later, he presented up to twenty antislavery petitions a year in Congress in defiance of the gag rules. He was the chief U.S. negotiator for the Treaty of Ghent, the defender of the Amistad slaves, and the formulator of the Monroe Doctrine as Secretary of State, but he may be best known for the backroom dealing which defeated Andrew Jackson for this man's one successful national election in 1824. FTP, name this man who won the White House under the "corrupt bargain. "

A: History
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Q: Lin and Shu proposed the density-wave theory to explain how the structure of these entities is sustained. The most accurate method for measuring the distances to distant ones uses a relation between their maximum rotational velocity and absolute magnitude, which is known as the Tully-Fisher method. They are generally blue because of their high content of old stars, and one type of them features arms that emanate from each end of a namesake structure. They have discs like the lenticular type, but contain much more angular momentum than the elliptical type. FTP name these galaxies, some of which are barred, including the Milky Way.

A: Science
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Q: Bounds for the largest coclique of an undirected, simple, loopless graph on n vertices can be found due to the interlacing of these quantities. These quantities are lowest when the Rayleigh quotient is minimized. Bounds on these quantities can be obtained using the minimax theorem of Courant and Fisher. These quantities lie in the union of closed discs in the complex plane according to a theorem of Gersgorin. Schur showed that they majorize the diagonal elements of a Hermitian matrix. If A and B are m by n and n by m complex matrices, then AB and BA have the same nonzero value for this quantity, counting multiplicity, and, as a consequence, their traces are equal. These quantities are the zeros of the characteristic polynomial. For 10 points, identify these quantities that scale an eigenvector.

A:
Science
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