# factorial

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Related to factorial: Factorial design

## factorial

Maths
the product of all the positive integers from one up to and including a given integer. Factorial zero is assigned the value of one: factorial four is 1 × 2 × 3 × 4. Symbol: n!, where n is the given integer
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Factorial

The factorial of a given natural number n is the product of all the natural numbers less than or equal to n. The factorial of n is denoted usually by n! Thus,

n! = 1 × 2 × ... × n

For large n an approximate expression for n! is given by Stirling’s formula. The number of permutations of n things taken all at a time is the factorial of n.

## factorial

[fak′tȯr·ē·əl]
(mathematics)
The product of all positive integers less than or equal to n; written n !; by convention 0! = 1.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## factorial

(mathematics)
The mathematical function that takes a natural number, N, and returns the product of N and all smaller positive integers. This is written

N! = N * (N-1) * (N-2) * ... * 1.

The factorial of zero is one because it is an empty product.

Factorial can be defined recursively as

0! = 1 N! = N * (N-1)! , N > 0

The gamma function is the equivalent for real numbers.

## factorial

The number of sequences that can exist with a set of items, derived by multiplying the number of items by the next lowest number until 1 is reached. For example, three items have six sequences (3x2x1=6): 123, 132, 231, 213, 312 and 321. See factor and IFP.
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References in periodicals archive ?
Therefore, the Strong Invariance Model was accepted, thus concluding the equivalence with respect to the factorial coefficients and the intercept values.
When the moisture contents obtained in the factorial design are compared to the value determined by the Karl Fischer titration (20.52% [+ or -] 0.08), it is observed that the best analysis conditions for conventional oven drying are those presented in experiments 1 and 5 of Table 2, i.e., drying temperature and drying time of 70[degrees]C and 90 min respectively, with or without the use of fiberglass paper.
So base-treated Saccharum arundinaceum was used for generation of predictive models by factorial design of analysis.
For other models, a crossed or modified factorial design might be appropriate, for example, when the goal is to test the individual and joint effects of care management fees and outcome-based incentives.
The factorial validity of the Maslach Burnout Inventory-Student Survey in China.
Therefore, the effect of the column was eliminated from the factorial design and this decreased the number of runs down to (3x2x4), which is equivalent to 24 runs for every TC concentration.
Taking all of the above into account, in this literature review, we aim to answer the question: what kind of the UWES factorial structure is the most valid one?

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