- binomial coefficients
- биномиальные коэффициенты
The New English-Russian Dictionary of Radio-electronics. F.V Lisovsky . 2005.
binomial coefficients
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A curious identity involving binomial coefficients — In combinatorics, a curious identity by Sun is the following combinatorial identity involving binomial coefficients first established by Zhi Wei Sun in 2002::(x+m+1)sum {i=0}^m( 1)^idbinom{x+y+i}{m i}dbinom{y+2i}{i} sum {i=0}^{m}dbinom{x+i}{m i}( … Wikipedia
Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… … Wikipedia
Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… … Wikipedia
Coefficients binomiaux — Coefficient binomial En mathématiques, (algèbre et dénombrement) les coefficients binomiaux , définis pour tout entier naturel n et tout entier naturel k inférieur ou égal à n, donnent le nombre de sous ensembles différents à k éléments que l on… … Wikipédia en Français
Binomial series — In mathematics, the binomial series is the Taylor series at x = 0 of the function f given by f(x) = (1 + x) α, where α ∈ C is an arbitrary complex number. Explicitly, and the binomial series is the power series… … Wikipedia
binomial theorem — Math. the theorem giving the expansion of a binomial raised to any power. [1865 70] * * * In algebra, a formula for expansion of the binomial (x + y) raised to any positive integer power. A simple case is the expansion of (x + y)2, which is x2 +… … Universalium
Binomial probability — typically deals with the probability of several successive decisions, each of which has two possible outcomes. Definition The probability of an event can be expressed as a binomial probability if its outcomes can be broken down into two… … Wikipedia
binomial — binomial, iale, iaux [ binɔmjal, jo ] adj. • mil. XVe; de binôme ♦ Math. Relatif au binôme. Coefficient binomial : coefficient de la formule du binôme de Newton. Loi binomiale : loi de statistique d un phénomène à deux événements complémentaires… … Encyclopédie Universelle
Binomial type — In mathematics, a polynomial sequence, i.e., a sequence of polynomials indexed by { 0, 1, 2, 3, ... } in which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities:p n(x+y)=sum… … Wikipedia
binomial coefficient — noun : the coefficient of any term resulting from the expansion of the binomial (x+y)n * * * Math. any one of the coefficients of the variables in an expanded binomial series. Cf. binomial theorem. [1885 90] … Useful english dictionary
binomial coefficient — Math. any one of the coefficients of the variables in an expanded binomial series. Cf. binomial theorem. [1885 90] * * * … Universalium
