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.

Input: Consider Input: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

Output: Science

Input: Consider Input: Norman and Jensen created triangles in which they plot chemical species according to this quantity. In one model of this quantity, electrons distribute to minimize it. Besides the Allred-Rochow definition, Mulliken's original definition of this quantity involved taking the mean of the(*) electron affinity and the first ionization energy. Dissociation energies between two elements are used to calculate the Pauling scale of this quantity, on which fluorine has the highest value. For 10 points, name this property that refers to an atom's ability to attract electrons.

Output: Science

Input: Consider Input: Fascinated in his youth by the sea and ships, he spent two years of his reign traveling throughout Europe learning the techniques of shipbuilding, but upon his return was forced to put down a revolt of the streltsy. Originally joint emperor with his retarded brother Ivan under the regency of his half-sister Sophia, he soon seized power, and later had his son Alexei tortured to death to maintain his rule. His seizure and eventual loss of Azov was his first notable attempt to gain greater maritime access, which was completed with his gain of a section of the Baltic coast, where he founded his new capital, modeled on the Western ideas he forced upon his country. FTP, who was this victor in the Great Northern War who from 1682-1725 ruled Russia
Output: History