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factorial moment - translation to russian
EXPECTATION OR AVERAGE OF THE FALLING FACTORIAL OF A RANDOM VARIABLE
Normalised factorial moment; Factorial moments
factorial moment
общая лексика
факторный момент
факториальный момент
factorial
![[[Relative error]] in a truncated Stirling series vs. number of terms](https://commons.wikimedia.org/wiki/Special:FilePath/Stirling series relative error.svg?width=200 "[[Relative error]] in a truncated Stirling series vs. number of terms")
![TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)](https://commons.wikimedia.org/wiki/Special:FilePath/Vintage Texas Instruments Model SR-50A Handheld LED Electronic Calculator, Made in the USA, Price Was $109.50 in 1975 (8715012843).jpg?width=200 "TI SR-50A]], a 1975 calculator with a factorial key (third row, center right)")
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
factorial I noun math. факториал II adj. rare фабричный
factorial
PRODUCT OF ALL INTEGERS BETWEEN 1 AND THE INTEGRAL INPUT OF THE FUNCTION
Factorial function; Factorials; Superduperfactorial; N!; Factorial number; Factoral; Factorial growth; X!; ! (math); Approximations of factorial; Negative factorial
1) мат. факториал || факториальный
2) факторный
2) факторный
Definition
factorial
<mathematics> 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)
Wikipedia
Factorial moment
In probability theory, the factorial moment is a mathematical quantity defined as the expectation or average of the falling factorial of a random variable. Factorial moments are useful for studying non-negative integer-valued random variables, and arise in the use of probability-generating functions to derive the moments of discrete random variables.
Factorial moments serve as analytic tools in the mathematical field of combinatorics, which is the study of discrete mathematical structures.
