This period saw the crushing of the Satsuma rebellion, which had been started by a group of discontented nobles. The entire class of

15. Like the Fourier Transform, it is used in a proof that obtains Parsevals Relation, and a periodic Schwartz distribution constructed from it is called its namesakes "comb." Defined as a distribution with compact support, it can also be defined as the derivative of the Heaviside step function. Along with total impulse, it is often used in mechanics to approximate the force one object imparts upon another. For ten points, name this function with a total integral of one, visualized as an infinitely tall spike at one and zero elsewhere.

16. He wrote a so-called "Definitive Treatise," in which he argued that trained philosophers should also be the best interpreters of religious texts. His views are seen as opposed to the later synthesis that Aquinas attempted between faith and religion, but in his own lifetime, his co-religionists were responsible for getting him exiled to North Africa from Cordoba. For 10 points, name this Spanish-Arab commentator on Aristotle who often implied that philosophical and religious truth might be irreconcilable.

17.