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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 | All In One Business Management Software
    Factorial is the all-in-one business software that connects everything you need to manage your team and grow your business
  • 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
  • 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 Calculating large factorials can be hard, but tricks and calculators make it easier to manage
  • Factorial Calculator n!
    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
  • 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)





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