Definition of Factorial. Meaning of Factorial. Synonyms of Factorial

Here you will find one or more explanations in English for the word Factorial. Also in the bottom left of the page several parts of wikipedia pages related to the word Factorial and, of course, Factorial synonyms and on the right images related to the word Factorial.

Definition of Factorial

Factorial
Factorial Fac*to"ri*al, a. 1. Of or pertaining to a factory. --Buchanan. 2. (Math.) Related to factorials.
Factorial
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 numbers from unity up to any given number.

Meaning of Factorial from wikipedia

- In mathematics, the factorial of a non-negative integer n {\displaystyle n} , denoted by n ! {\displaystyle n!} , is the product of all positive integers...
- In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels"...
- In mathematics, the double factorial or semifactorial of a number n, denoted by n‼, is the product of all the integers from 1 up to n that have the same...
- A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes...
- fractional factorial designs are experimental designs consisting of a carefully chosen subset (fraction) of the experimental runs of a full factorial design...
- mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as the polynomial...
- accepted by the emerging field of psychology which developed strong (full factorial) experimental methods to which randomization and blinding were soon added...
- in the data vector. When this occurs, it can be desirable to create a factorial code of the data, i. e., a new vector-valued representation of each data...
- The exponential factorial of a positive integer n, denoted by n$, is n raised to the power of n − 1, which in turn is raised to the power of n − 2, and...
- the factorial moment is a mathematical quantity defined as the expectation or average of the falling factorial of a random variable. Factorial moments...