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.

Q: 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.

A: Science
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Q: On the night before this battle, one side attempted to launch a sneak attack at Nairn whilst the other side was celebrating the birthday of its commander, while during the battle itself the losing commander's bodyguard supposedly shouted "Run, you Italian coward!". It followed an unsuccessful attempt to capture Stirling Castle on one side and the inability of General Hawley to secure a clearcut victory for the opposing side. The bayonet tactics of the victors were what made the difference in this battle which lasted less than an hour, perhaps thanks to George Murray no longer being in command of the Highland forces during it. The Duke of Cumberland had "See the Conquering Hero Comes" written in honor of his triumph in this battle. It followed Falkirk and was the final clash in the "Forty Five Rebellion". FTP, name this 1746 battle, the last fought on British soil, in which the Jacobites under Bonnie Prince Charlie were decisively defeated.

A: History
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Q: Roger Casement tried to bring guns to rebels in this country led by Patrick Pearse and James Connolly during Easter. The movement for independence in this country included leaders such as Eamon de Valera (AY-mun dev-uh-LAIR-uh), Charles Parnell, and Michael Collins. This country is home to the parties Fianna Fail (FEE-en-uh FOIL) and Sinn Fein (shin fayn). For 10 points, name this island country that with a northern neighbor that is a part of the United Kingdom, which was also the site in the middle of the nineteenth century of a potato famine.

A:
Fine Arts
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