Lexic.us

Definition of Factorial

1. Noun. The product of all the integers up to and including a given integer. "1, 2, 6, 24, and 120 are factorials"

Definition of Factorial

1. a. Of or pertaining to a factory.

2. n. 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.

Definition of Factorial

1. Noun. (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. ¹

2. Adjective. (mathematics) Of or pertaining to a factor or factorial. ¹

3. Adjective. Of or pertaining to a factor. ¹

4. Adjective. Of or pertaining to a factory. ¹

¹ Source: wiktionary.com

Definition of Factorial

1. [n -S]

Medical Definition of Factorial

1. 1. Of or pertaining to a factory. 2. Related to factorials. 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. The product of the consecutive numbers from unity up to any given number. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Factorial

Literary usage of Factorial

Below you will find example usage of this term as found in modern and/or classical literature:

1. Theory of Functions of a Complex Variable by Andrew Russell Forsyth (1893)
"factorial FUNCTIONS IN TERMS OF [243. Now O! is met only by h and by no cut ... Before passing on to obtain expressions for factorial functions in terms of ..."

2. The Mechanism of Evolution in Leptinotarsa by William Lawrence Tower, Joseph Kumler Breitenbecher (1918)
"factorial THEORY OF EVOLUTION. It is difficult to decide where the first ideas of a factorial theory of evolution arose, but certainly we can follow the ..."

3. Stochastic Inequalities by Moshe Shaked, Yung Liang Tong (1992)
"Stochastic order relations, mixed factorial moments, compart- mental urn model, death process, collective epidemic model, family of polynomials. ..."

4. The Collected Mathematical Papers of Arthur Cayley by Arthur Cayley (1890)
"NOTE ON THE SUMMATION OF A CERTAIN factorial EXPRESSION. ... 1 = Tim, and a factorial [m]n is expressed in terms of the function II by the formula [m]" = II ..."

5. Concrete Abstractions: An Introduction to Computer Science Using Scheme by Max Hailperin, Barbara Kaiser (1999)
"This was illustrated by the diagram of the recursive factorial process shown in ... We remarked that a diagram of the recursive evaluation of (factorial 52) ..."

6. The Mechanism of Mendelian Heredity by Thomas Hunt Morgan (1915)
"CHAPTER IX THE factorial HYPOTHESIS In Mendelian heredity the word "factor" is used for something which ... We may express these factorial relations in ..."

7. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1889)
"It is called factorial-n, and is denoted by n\ .* Cor. 2. ,,Pr = H!/(n-)•)!. For nPr = n(nl) . . . (n-r+l), n(nl) . . . (n-r+l)(nr) . . . 2.1 (n - r) . ..."

8. Geometric Computing Science: First Steps by Robert Hermann (1991)
"Let us see how this works for a standard example in computer science programming and language texts, the factorial function on the integers. 3. ..."

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