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

[Q]: Racial violence in this city began with the 1909 lynching of William James, as well as the later 1967 murder of black soldier Robert Hunt. Its Chief of Police was shot in 1969 violence stopped when Governor Richard Ogilvie sent in the National Guard. Rooster Cogburn opened a bar here after the Civil War, and it was the inspiration for Eden in Charles Dickens' Martin Chuzzlewit. Stephen Foster wrote a song about being "way down" in this city, which is where Magnolia Manor and Fort Defiance State Park are located. Huck and Jim intend to go to this city to obtain Jim's freedom in Huckleberry Finn, but they end up sailing past it. This city has the lowest elevation of any within Illinois and is located at the confluence of the Mississippi and Ohio Rivers. For 10 points, name this southernmost city in Illinois, which shares its name with a city in Egypt.
[A]: History

[Q]: Part of this structure is absent in a syndrome that can cause mega cisterna magna, and which is named for Dandy and Walker. This structure contains the fastigial, globose, emboliform, and dentate nuclei, which are collectively called its namesake "deep nuclei" and are located in the arbor vitae. Marr and Albus proposed theories of this structure's function. This structure includes a narrow medial tissue called its namesake vermis. Inputs in this structure diverge to stimulate a huge number of namesake granule cells, then converge to stimulate a much smaller number of Purkinje cells, which are among the largest neurons. For 10 points, name this portion of the brain involved in balance and motor skills, which is located under the cerebrum.
[A]:
Science