| 释义 |
factorial
fac·to·ri·al F0007700 (făk-tôr′ē-əl)n. The product of all the positive integers from 1 to a given number: 4 factorial, usually written 4!, is equal to 24 (1 × 2 × 3 × 4 = 24).adj. Of or relating to a factor or factorial.factorial (fækˈtɔːrɪəl) mathsn (Mathematics) 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 integeradj (Mathematics) of or involving factorials or factors facˈtorially advfac•to•ri•al (fækˈtɔr i əl, -ˈtoʊr-)
n. 1. the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 ∙ 3 ∙ 2 ∙ 1 = 24.Symbol: n!, where n is the given integer. adj. 2. of or pertaining to factors or factorials. 3. of or pertaining to a factor or a factory. [1810–20] fac•to′ri•al•ly, adv. fac·to·ri·al (făk-tôr′ē-əl) The product of all of the positive integers from 1 to a given positive integer. It is written as the given integer followed by an exclamation point. For example, the factorial of 4 (written 4!) is 1 × 2 × 3 × 4, or 24.Thesaurus| Noun | 1. | factorial - the product of all the integers up to and including a given integer; "1, 2, 6, 24, and 120 are factorials"mathematical product, product - a quantity obtained by multiplication; "the product of 2 and 3 is 6" | | Adj. | 1. | factorial - of or relating to factorials |
Translationsfactorial
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 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. factorial (mathematics)The mathematical function that takes anatural number, N, and returns the product of N and allsmaller 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! = 1N! = N * (N-1)! , N > 0
The gamma function is the equivalent for real numbers.factorialThe 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.factorial
fac·to·ri·al (fak-tōr'ē-ăl), 1. Pertaining to a statistical factor or factors. 2. Of an integer, that integer multiplied by each smaller integer in succession down to one, written n!; for example, 5! equals 5 × 4 × 3 × 2 × 1 = 120. fac·to·ri·al (fak-tōr'ē-ăl) Pertaining to a statistical factor or factors. LegalSeefactorFinancialSeeAccounts receivable financingSee FACT
See FACTfactorial
Related to factorial: Factorial designWords related to factorialnoun the product of all the integers up to and including a given integerRelated Words- mathematical product
- product
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