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factorial    
a. 代理店的,阶乘的
n. 阶乘

代理店的,阶乘的阶乘

factorial
阶乘

factorial
阶乘

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 \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]

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}.

(2005-01-07)

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英文字典中文字典相关资料:


  • Factorial - Wikipedia
    Factorials have been discovered in several ancient cultures, notably in Indian mathematics in the canonical works of Jain literature, and by Jewish mystics in the Talmudic book Sefer Yetzirah
  • Factorial in Maths - GeeksforGeeks
    The factorial of a number is the product of all positive integers from that number down to 1 It plays a key role in many mathematical concepts, such as permutations, combinations, probability, and more
  • Factorial Calculator n!
    Factorial Calculator Find the factorial n! of a number, including 0, up to 4 digits long n! factorial calculator and examples Free online factorial calculator
  • What are factorials, and how do they work? | Purplemath
    The factorial of a whole number n, denoted as n!, is the product of all the whole numbers between 1 and n: 1×2×3×…× (n−1)×n So 3! would be 1×2×3 = 6
  • Factorial Function - Symbol, Formula, Properties, Examples
    What is a factorial in mathematics Know its symbol, equation, rules, and properties How to solve it The factorial of 0, negative numbers, and decimals with examples
  • The Factorial (!) in Mathematics and Statistics - ThoughtCo
    A factorial is multiplying a number by all whole numbers less than it down to one Factorials are useful in math areas like combinatorics and probability calculus, where multiplying numbers is needed
  • Factorial | Definition, Symbol, Facts | Britannica
    Factorial, in mathematics, the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point
  • Factorial -- from Wolfram MathWorld
    The factorial n! is defined for a positive integer n as n!=n (n-1) 2·1 (1) So, for example, 4!=4·3·2·1=24 The notation n! was introduced by Christian Kramp (Kramp 1808; Cajori 1993, p 72)
  • What is a Factorial? | Definition, Symbol Examples
    In mathematics, the factorial of a positive integer n is the product of all positive integers less than or equal to n We write this using an exclamation mark: n!





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