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:
A functor named for this mathematician can be interpreted as the first group homology group with integral coefficients. A cellular automaton discovered by Bak, Tang, and Wiesenfeld that displays self-organized criticality is a "sandpile model" named for him. This mathematician names a class of theorems showing that various summation methods are regular, i.e., that they give the correct result for convergent series. Grothendieck introduced categories named for this mathematician in his Tohoku paper; those categories are a general setting for homological algebra and allow morphisms and objects to be added. This non-Italian mathematician gave the first complete proof of the insolubility of the quintic by radicals. Groups that satisfy the commutative law and many other mathematical concepts are named for, FTP, what Norwegian mathematician who died at the age of 26, thus making everyone else look like a chump
answer:
Science


question:
The Soave equation adds an acentric factor to this statement, and the virial equation measures deviations from this law using a compressibility factor. This law derived by Benoit Clapeyron can account for density in its "dirty mop" form, and when A and B terms are added to account for the volume and interactions between particles, it is called van der Waals equation. Containing a namesake constant that is Boltzmann's constant times Avogadro's number is, for 10 points, what law usually stated as PV equals nRT
answer:
Science


question:
Richard Lipsey developed it in a broader context, clarifying the adjustment function. Robert Solow and Paul Samuelson found that it also held in the United States and made it relevant to policymakers by introducing mark-up pricing. Edmund Phelps and Milton Friedman questioned its stability in the long run, arguing that the government could not maintain a permanent tradeoff between the two quantities in question, disagreeing with the findings made in the article "Analytics of Anti-Inflation Policy" with their view of the natural-rate hypothesis. FTP, name this relationship depicting the inverse relation between the rate of unemployment and the rate of change of money wages in a certain curve.
answer:

Social Science