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:
Hoffland studied how fungi tunnel along natural productivity gradients in types of this mineral. Prevalent in arkose, these framework silicates of aluminum react with water to form kaolinite. High-calcium rocks tend to be enriched in the K-variant and two variants of this mineral in one composition can form intergrowths and twin-wall intersections. Albite and labradorite are examples of a type of one of these that are depicted on the continuous branch of Bowen's reaction series moving from calcium-rich to sodium-rich. Sixty percent of Earth's crust is composed of, for 10 points, what type of mineral that includes plagioclase and orthoclase.
answer:

Science