Definition of Factorials. Meaning of Factorials. Synonyms of Factorials

Here you will find one or more explanations in English for the word Factorials. Also in the bottom left of the page several parts of wikipedia pages related to the word Factorials and, of course, Factorials synonyms and on the right images related to the word Factorials.

Definition of Factorials

Factorial
Factorial Fac*to"ri*al, a. 1. Of or pertaining to a factory. --Buchanan. 2. (Math.) Related to factorials.
Factorial
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 numbers from unity up to any given number.

Meaning of Factorials from wikipedia

- of the factorials, and can be used to count the trailing zeros of the factorials. Daniel Bernoulli and Leonhard Euler interpolated the factorial function...
- binomial coefficients carry over to the falling and rising factorials. The rising and falling factorials are well defined in any unital ring, and therefore x...
- × 7 × 5 × 3 × 1 = 945. The zero double factorial 0‼ = 1 as an empty product. The sequence of double factorials for even n = 0, 2, 4, 6, 8,... starts as...
- In statistics, a factorial experiment (also known as full factorial experiment) investigates how multiple factors influence a specific outcome, called...
- {\displaystyle n} . Factorial may also refer to: Factorial experiment, a statistical experiment over all combinations of values Factorial code, data representation...
- first exponential factorials are: 1 21 = 2 32 = 9 49 = 262144 5262144 = 6206069878...8212890625 (183231 digits) The exponential factorials grow much more...
- k > n, (n − k)! is the factorial of a negative integer and hence infinite if we use the gamma function definition of factorials—dividing by infinity gives...
- {\displaystyle n} factorials. They are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials. The n {\displaystyle...
- approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate results even for small...
- factorial base, although factorials do not function as base, but as place value of digits. By converting a number less than n! to factorial representation, one...