Binomial coefficient
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written . It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)n. The value of the coefficient is given by the expression . Arranging binomial coefficients into rows for successive values of n, and in which k ranges from 0 to n, gives a triangular array called Pascal's triangle. is often read aloud as "n choose k", because there are
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Binomial CoefficientBinomial coefficientsChoose functionChoose notationChoose operationChoose operatorCombinatorial coefficientCombinatorial coefficientsGeneralised binomial coefficientGeneralized binomial coefficientN choose kN choose rVandermonde's convolution formulaVandermonde convolution formula
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Binomial coefficient
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written . It is the coefficient of the xk term in the polynomial expansion of the binomial power (1 + x)n. The value of the coefficient is given by the expression . Arranging binomial coefficients into rows for successive values of n, and in which k ranges from 0 to n, gives a triangular array called Pascal's triangle. is often read aloud as "n choose k", because there are
has abstract
Der Binomialkoeffizient ist ei ...... n der Analysis verwendet wird.
@de
Een binomiaalcoëfficiënt, gesc ...... als het natuurlijke getal: en
@nl
En mathématiques, les coeffici ...... itions, aux nombres complexes.
@fr
In matematica, il coefficiente ...... di elementi presi alla volta.
@it
In mathematics, any of the pos ...... on case of integers n ≥ k ≥ 0.
@en
Los coeficientes binomiales, n ...... ras definiciones equivalentes.
@es
O coeficiente binomial, também ...... asse k, pode ser escrito como:
@pt
Symbol Newtona (nazywany też w ...... spółczynnik dwumienny Newtona.
@pl
В математике биномиальные коэф ...... мультиномиальные коэффициенты.
@ru
في الرياضيات، المعاملات الثنائ ...... حيحين n وk ويرمز إليه عادة ب .
@ar
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title
Binomial Coefficient
Binomial coefficients
Bounds for binomial coefficients
Generalized binomial coefficients
Proof that C is an integer
type
comment
Der Binomialkoeffizient ist ei ...... ient hängt von zwei Zahlen und
@de
Een binomiaalcoëfficiënt, gesc ...... als het natuurlijke getal: en
@nl
En mathématiques, les coeffici ...... ie, lois de probabilités, etc.
@fr
In matematica, il coefficiente ...... di elementi presi alla volta.
@it
In mathematics, any of the pos ...... n choose k", because there are
@en
Los coeficientes binomiales, n ...... ras definiciones equivalentes.
@es
O coeficiente binomial, também ...... asse k, pode ser escrito como:
@pt
Symbol Newtona (nazywany też w ...... spółczynnik dwumienny Newtona.
@pl
В математике биномиальные коэф ...... м ряду являются нулевыми (т.е.
@ru
في الرياضيات، المعاملات الثنائ ...... حيحين n وk ويرمز إليه عادة ب .
@ar
label
Binomiaalcoëfficiënt
@nl
Binomial coefficient
@en
Binomialkoeffizient
@de
Coefficient binomial
@fr
Coefficiente binomiale
@it
Coeficiente binomial
@es
Coeficiente binomial
@pt
Symbol Newtona
@pl
Биномиальный коэффициент
@ru
معامل ثنائي
@ar
