factorial love

# factorial

## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• n. The product of all the positive integers from 1 to a given number: 4 factorial, usually written 4!, is equal to 24 (1 × 2 × 3 × 4 = 24).
• adj. Of or relating to a factor or factorial.

• n. 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.
• adj. Of or pertaining to a factor or factorial.
• adj. Of or pertaining to a factor.
• adj. Of or pertaining to a factory.

### from the GNU version of the Collaborative International Dictionary of English

• adj. Of or pertaining to a factory.
• 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.
• n. The product of the consecutive whole numbers from unity up to any given number.

### from The Century Dictionary and Cyclopedia

• Pertaining to a factor or factory; constituting a factory.
• In mathematics, of or pertaining to a factor or factorials. See II.
• n. In mathematics, a continued product of the form Fx, F(x+1), F(x+2), F(x+3), … F(x+n), in which every factor after the first is derived from the preceding by increasing the variable by unity.

• n. the product of all the integers up to and including a given integer
• adj. of or relating to factorials

## Etymologies

Sorry, no etymologies found.

## Examples

• AL CARDENAS, EMERGENCY ROOM PHYSICIAN: The types of injuries were multi-factorial, that is, head injuries, orthopedic injuries, abdominal, intra-abdominal injuries.

CNN Transcript Aug 9, 2008

• The results of these studies have led to what is called the factorial hypothesis of heredity, [45] according to which all the visible characters of the adult are produced by (purely hypothetical) factors in the germ-plasm; it is the factors that are inherited, and they, under proper conditions for development, produce the characters.

Applied Eugenics

• ∗ The exclamation mark is called a factorial and represents the product of consecutive integers from 1 to the number before the factorial symbol.

• The continuous product of the first 'n' natural numbers is called factorial n and is deonoted by n!

LearnHub Activities

• This pattern is called a factorial in mathematics.

Aish Weekly Articles

• = 1 The function int → int that gives n! on input n is called the factorial function n! is the number of permutations of n distinct objects There is just one permutation of one object.

• - smp enable - sname factorial - mnesia debug verbose

Hiveminds Magazine

• this will call factorial on a string, matching it with the n pattern?

Site Home

• In [[mathematics]], the '' 'factorial' '' function

Citizendium, the Citizens' Compendium - Recent changes [en]

• In [[mathematics]], the '' 'factorial' '' function gives the number of ways in which '' n '' labelled objects (for example the numbers from 1 to '' n '') can be arranged in order.

Citizendium, the Citizens' Compendium - Recent changes [en]