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: This rule holds if the operator algebra for some set of observables is non-trivial; that is true because it is derived via the Schwarz inequality applied to the expectation value of the commutator of two observables operators. It formally bounds the product of the dispersions in two observables. An adapted form of this law applies to energy and time; it applies directly to any two components of spin, but it is best known in its application to position and momentum, the product of the standard deviations of which is at least h-bar over two. FTP, name this principle from quantum mechanics that limits the precision of measurements.

A: Science
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Q: The layout of this painting mirrors the plan for St. Peter's Basilica. In the center of this painting, a man wearing a purple shirt slumps against a box, scribbling on a sheet of paper at the bottom of some stairs. To the right of him, a man dressed in blue reclines on the stairs while reading a sheet of paper in his hand. On the left side of this painting, a small crowd gathers around (*) Pythagoras as he writes in a large book while kneeling. To the right, a small crowd watches as Euclid bends down and draws on a small tablet on the floor. For ten points, name this painting by Raphael depicting Plato and Aristotle walking together through the title building.

A: Fine Arts
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Q: During this battle, one soldier supposedly saw a man with a beard a large as a shield before being struck with permanent blindness. One side in this battle elected to fight at its side rather than to defend a pass at Pallini. One polity's forces arrived too late to fight in this battle because its generals refused to leave their city until the full moon. This battle's losing commanders, Datis and Artaphernes, had previously sacked Eretria in response to the burning of Sardis. At this battle, the winning side was technically led by a ten-general body, though effective command was held my Miltiades. One story about this battle tells of Pheidippides, who died announcing the Athenian victory after running nonstop to Athens. For 10 points, what 490 BCE battle that ended the first invasion of Greece by the Persian Empire is the namesake of a 26.2 mile race

A:
History
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