| slovo | definícia |
factorial
(encz) | factorial,faktoriál [mat.] Hynek Hanke |
Factorial
(gcide) | Factorial \Fac*to"ri*al\, a.
1. Of or pertaining to a factory. --Buchanan.
[1913 Webster]
2. (Math.) Related to factorials.
[1913 Webster] |
Factorial
(gcide) | 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 whole numbers from
unity up to any given number; thus, 5 factorial is the
product of 5 times four times three times two times
one, or 120.
[1913 Webster +PJC] |
factorial
(wn) | factorial
adj 1: of or relating to factorials
n 1: the product of all the integers up to and including a given
integer; "1, 2, 6, 24, and 120 are factorials" |
factorial
(foldoc) | factorial
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.
For example, the number of ways of shuffling 52 playing cards is
52! or nearly 10^68. {52 Factorial
(http://czep.net/weblog/52cards.html)}.
(2012-11-23)
|
| | podobné slovo | definícia |
Factorial
(gcide) | Factorial \Fac*to"ri*al\, a.
1. Of or pertaining to a factory. --Buchanan.
[1913 Webster]
2. (Math.) Related to factorials.
[1913 Webster]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 whole numbers from
unity up to any given number; thus, 5 factorial is the
product of 5 times four times three times two times
one, or 120.
[1913 Webster +PJC] |
multifactorial
(wn) | multifactorial
adj 1: involving or depending on several factors or causes
(especially pertaining to a condition or disease
resulting from the interaction of many genes) |
|