FACTORIAL

factorial

(adjective) of or relating to factorials

factorial

(noun) the product of all the integers up to and including a given integer; “1, 2, 6, 24, and 120 are factorials”

Source: WordNet® 3.1

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Noun

factorial (plural factorials)

(mathematics, combinatorics) The result of multiplying a given number of consecutive integers from 1 to the given number. In equations, it is symbolized by an exclamation mark (!). For example, 5! = 1 × 2 × 3 × 4 × 5 = 120.

Usage notes

"n!" is read as "factorial of n" or "n factorial."

Hyponyms

• double factorial

• falling factorial

• rising factorial

Adjective

factorial (comparative more factorial, superlative most factorial)

(mathematics) Of or pertaining to a factor or factorial.

Of or pertaining to a factor, a kind of business agent.

(dated) Of or pertaining to a factory.

Source: Wiktionary

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Fac*to"ri*al, a.

1. Of or pertaining to a factory. Buchanan.

2. (Math.)

Definition: Related to factorials.

Fac*to"ri*al, n. (Math.) (a) pl.

Definition: 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.

Source: Webster’s Unabridged Dictionary 1913 Edition

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