instruction:
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.
question:
Halogen addition to them creates a mixture of a 1-2 and 1-4 addition product. One preparation of them involves butane undergoing thermal dehydration. Another synthesis of the conjugated variety of this chemical group involves elimination of unsaturated alcohols and alkyl halides. They include a number of useful reagents, including ones named for Chan, Dane, Brassard, Rawal, and Danishefsky. In addition to the conjugated variety, they also occur in isolated and cumulated varieties. Conjugation energy guarantees that the conjugated form is the most stable. For ten points, what is this organic functional group whose 1,3 variety are a principal reactant in the Diels-Alder reaction, and which is characterized by a pair of double bonds.
answer:
Science


question:
Laplaces rule may be used to compute a version of this quantity for its namesake tensor in order to prove the Alon-Tarsi conjecture for Latin squares of even order; that proof uses Cayleys version of this operator. The Cauchy-Binet rule generalizes it to commutative rings, while Leibnizs formula uses permutations of elements to compute it. Setting to zero the result of this operation on lambda I minus A allows us to calculate As eigenvalues. Cramers rule uses ratios of these to solve systems of linear equations. For ten points, name this quantity that is a d minus c b for a 2 by 2 matrix a b c d.
answer:
Science


question:
Many of its participants had been members of the Society of Salvation and the Society of Prosperity, both of which had been founded by Pavel Pestel, and which called for a Peoples Veche and a Supreme Sobor, though ultimately these folded into the Northern and Southern Societies. During it, Pyotr Kakhovsky assassinated Count Miloradovich, who had served on the Pratzen Heights, while Sergei Troubetzkoy was declared dictator. Calling for a Constitution and sparked by the abdication of Constantine I, it was put down by his brother Nicholas I and resulted in the last public executions in Russia. For ten points, name this 1825 revolt of idealistic military officers, named for the month in which it took place.
answer:

History