factorial function

factorial function
обобщенная степень, факториальный многочлен

Большой англо-русский и русско-английский словарь. 2001.

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  • Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 …   Wikipedia

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • 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 Collaborative International Dictionary of English

  • Factorial moment generating function — In probability theory and statistics, the factorial moment generating function of the probability distribution of a real valued random variable X is defined as:M X(t)=operatorname{E}igl [t^{X}igr] for all complex numbers t for which this… …   Wikipedia

  • Factorial moment — In probability theory, the nth factorial moment of a probability distribution, also called the nth factorial moment of any random variable X with that probability distribution, is[1] where is the falling factorial (confusingly, this same notation …   Wikipedia

  • Factorial code — Most real world data sets consist of data vectors whose individual components are not statistically independent, that is, they are redundant in the statistical sense. Then it is desirable to create a factorial code of the data, i. e., a new… …   Wikipedia

  • factorial — factorially, adv. /fak tawr ee euhl, tohr /, n. 1. Math. 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.… …   Universalium

  • Gamma function — For the gamma function of ordinals, see Veblen function. The gamma function along part of the real axis In mathematics, the gamma function (represented by the capital Greek letter Γ) is an extension of the factorial function, with its… …   Wikipedia

  • gamma function — ▪ mathematics       generalization of the factorial function to nonintegral values, introduced by the Swiss mathematician Leonhard Euler (Euler, Leonhard) in the 18th century.       For a positive whole number n, the factorial (written as n!) is… …   Universalium

  • Ackermann function — In recursion theory, the Ackermann function or Ackermann Péter function is a simple example of a general recursive function that is not primitive recursive. General recursive functions are also known as computable functions. The set of primitive… …   Wikipedia

  • Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia


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