Definitions for: Factorial


[n] the product of all the integers up to and including a given integer; "1, 2, 6, 24, and 120 are factorials"
[adj] of or relating to factorials



Webster (1913) Definition: Fac*to"ri*al, a.
1. Of or pertaining to a factory. --Buchanan.

2. (Math.) Related to factorials.


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 numbers from unity up
to any given number.

See Also: mathematical product, product

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