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factorial a. 代理店的,阶乘的
n. 阶乘 代理店的,阶乘的阶乘 factorial 阶乘 factorial 阶乘 factorial adj 1: of or relating to factorials n 1: the product of all the integers up to and including a given integer; "1, 2, 6, 24, and 120 are factorials" Factorial \Fac*to"ri*al\, a. 1. Of or pertaining to a factory. --Buchanan. [1913 Webster] 2. (Math.) Related to factorials. [1913 Webster] Factorial \Fac*to"ri*al\, n. (Math.) (a) pl. A name given to the factors of a continued product when the former are derivable from one and the same function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x).F(x h).F(x 2h) . . . F[x (n-1)h] is called a factorial term, and its several factors take the name of factorials. --Brande & C. (b) The product of the consecutive whole numbers from unity up to any given number; thus, 5 factorial is the product of 5 times four times three times two times one, or 120. [1913 Webster PJC] {natural number}, N, and returns the product of N and all smaller positive integers. This is written N! = N * (N-1) * (N-2) * ... * 1. The factorial of zero is one because it is an {empty product}. Factorial can be defined {recursively} as 0! = 1 N! = N * (N-1)! , N > 0 The {gamma function} is the equivalent for {real numbers}. (2005-01-07) factoriel
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