Task: Text Categorization
Input (English): 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
Output (English): Science