TASK DEFINITION: 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.
PROBLEM: The vertical component of the effect caused by this force is sometimes named for Eotvos. The ratio of inertial forces to the magnitude of this force is a dimensionless number named for Rossby. This force causes the apparent (*) deflection of objects moving in rotating reference frames. For 10 points, name this fictitious force that causes winds to deflect to the north and south of the equator, which is responsible for the formation of cyclones.

SOLUTION: Science

PROBLEM: sum of the squares of the reciprocals of this function evaluated at the nonnegative integers is equal to the modified Bessel function of the first kind at x=2. The Leviathan Number is found by evaluating this function at 10 to the 666th power. The rising type can be represented with the Pochhammer Symbol. Wilson's Theorem states that this function of any prime minus 1 is also congruent to -1 modulo that prime. Legendre's theorem provides a corollary to determine the number of (*) trailing zeroes of this function evaluated at nonnegative integers. When this function is evaluated at large numbers, Stirling's approximation is used. The gamma function extends this function to all complex numbers other than negative integers. For 10 points, name this function that, for positive integers n, is the product from 1 to n, and which is represented by an exclamation point.

SOLUTION: Science

PROBLEM: In a street celebration honoring this deity, people make human pyramids to reach a pot called the matki and break it. This deity told a pregnant mother about how to make the Chakravyuha military formation, though the unborn baby Abhimanyu only heard some of it and died at age sixteen screwing it up. This deity saved a village from a storm sent by Indra by raising the Govardhan hill over the village. This brother of Balarama defeated Kamsa, his evil uncle. His ranging with cowherd girls called gopis and his sucking of the demoness Putana's breastmilk are celebrated during Holi. During the Kurukshetra war, he declared "Now I am become death, destroyer of worlds" while revealing his full splendor. For 10 points, name this avatar of Vishnu who served as Arjuna's charioteer in the Bhagavad-Gita.

SOLUTION:
Social Science