Binomial coefficients: binom(n,i).
Namespace:
SingularSys.Jep.FunctionsRequires n,i integers >=0. Often written as nCi or column vector (n,i).
The following rules apply:(n,0) = 1, (n,1) = n, (n,n-1) = n, (n,n) = 1
(n,i) = n! / ( i! (n-i)! )
Pascals triangle rule: (n,i) = (n-1,i-1) + (n-1,i)
Binomial theorem: (a+b)^n = sum (n,i) a^i b^(n-i), i=0..n.
For efficiency the binomial coefficients are stored in a static array.Assembly: Jep (in Jep.dll) Version: 1.1.0.0 (1.0.0)
Syntax
C# |
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public class Binomial : PostfixMathCommand |
Visual Basic (Declaration) |
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Public Class Binomial _ Inherits PostfixMathCommand |
Visual C++ |
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public ref class Binomial : public PostfixMathCommand |
Inheritance Hierarchy
System..::.Object
SingularSys.Jep.Functions..::.PostfixMathCommand
SingularSys.Jep.Functions..::.Binomial
SingularSys.Jep.Functions..::.PostfixMathCommand
SingularSys.Jep.Functions..::.Binomial