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:
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.
answer:
Science

question:
The title cup dominates a cloudy landscape in this painter's The Giant's Chalice and a mountain pass is depicted in his The Notch in the White Mountains. One series of paintings by this artist includes works like The Savage State, Consummation, and Decline, while another comprises Childhood, Youth, Manhood, and Old Age. Due to his many depictions of its landscapes, the fourth tallest of the Catskills mountains is named for him. Founder of Hudson River School, FTP, name this painter of the two series of paintings The Voyage of Life and The Course of Empire
answer:
Fine Arts

question:
author wrote a story where Lady Carlotta is mistaken for the governess Miss Hope and thus teaches children history under the titular "Schartz-Metterklume Method. " In another story, children are given toy figures of John Herschel and John Stuart Mill. This author of "The Toys of Peace" ended one story with "Romance at short notice was her speciality," referring to the fanciful story told to Framton Nuttel. In another story, Conradin's guardian is ultimately dispatched by his god, the titular pole ferret. For 10 points, name this witty British short story author, who penned such works as "Sredni Vashtar" and "The Open Window" under a one-word penname.
answer:
Literature