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.
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Question: Leon Gambetta attempted to organize one side's defenses in this war, but fled in a hot air balloon. The Treaty of Frankfurt ended this war, in which the Battle of Sedan was fought. One cause of this war was the possibility of Leopold of Hohenzollern gaining the Spanish throne. Another cause of this war was an edited letter between the ambassador of one country in this war and Wilhelm I. That document known as the Ems Dispatch was used to advance the goals of Otto von Bismarck. For 10 points, name this 1870-1871 war between two European nations that led to German unification.

Answer: History


Question: Originally this god was much more malevolent, a god of sorcery who had abducted Xochiquetzal and initiated human sacrifices. Overlord of the constellation Great Bear, he had created the world by tearing apart the primordial crocodile Cipactli, though he lost a foot to her and was thus sometimes called Hurakan. The special protector the god of slaves and punisher of wicked, he saw everything in his magic Obsidian looking glass. FTP name this Aztec god of Magic and the Night Sky, the Lord of the "Smoking Mirror. "

Answer: Social Science


Question: Lisi defined a "universal reservoir" for a quantum mechanical analogue of this quantity, which can be produced by Wick rotations on a Feynman path integral. One principle describing this quantity can be unified with the maximum entropy principle since path uncertainty can be measured by the Shannon information. General relativity uses the Einstein-Hilbert type of this quantity which yields the Einstein field equations, and the shape of the trajectory of this quantity over two specific endpoints is determined through Maupertuis' principle. The Euler-Lagrange equation for this quantity of a system yields the evolution of a classical system, and the functional derivative of this quantity with respect to generalized coordinates goes to zero in accordance with Hamilton's principle. For 10 points, identify this quantity which is defined as the time integral over a given path of the Lagrangian of a system, and is symbolizes S.

Answer:
Science