# factorial

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## 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 It might be outdated or ideologically biased.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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

## 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 ?
Hence, the factoral approach regards the abundance or scarcity of factors of production as the key to political action.
436) argues, "evidence suggests that political behavior, especially with regard to economic policy, is less commonly factoral (laborers as a class, capitalists as a class) than sectoral (the steel industry, the dairy farming industry)." This is because the factoral view assumes factor mobility.
Sectoral theorists maintain that actors resist the redeployment required for factoral mobility because changing jobs or shifting investments is unsettling.
To summarize, sectoral theory sees interdependence as producing conflict on an industry-wide basis, instead of the factoral lines envisioned by Stolper-Samuelson.
If these views are correct, then one must question mobilization arguments about the reactions, either factoral or sectoral, of local capital to foreign investments.
There is an abundance of capital (factoral hypothesis #1) 
There is an abundance of labor (factoral hypothesis #2)
Factoral theory maintains that the abundance (or scarcity) of labor and capital are the key elements, while sectoral theory points to export performance and efficiency or competitiveness.
The factoral variables investigated were labor and capital.
As far as the other hypotheses are concerned, the results in Tables 2 and 3 support only one of the factoral hypotheses.
Using 3-year moving averages, the author has worked out (a) net barter terms of trade (b) income terms of trade and (c) single factoral terms of trade, for the period from 1951 to 1984.

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