public class Binomial extends BinaryFunction
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.
curNumberOfParameters, name, NaN, numberOfParameters
Constructor and Description |
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Binomial() |
Modifier and Type | Method and Description |
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static int |
binom(int n,
int i)
Returns the binomial coefficients. nCi.
|
java.lang.Object |
eval(java.lang.Object l,
java.lang.Object r) |
run
asArray, asBool, asDouble, asInt, asLong, asStrictInt, asString, checkNumberOfParameters, getName, getNumberOfParameters, setCurNumberOfParameters, setName, toString, toString
public java.lang.Object eval(java.lang.Object l, java.lang.Object r) throws EvaluationException
eval
in class BinaryFunction
EvaluationException
public static int binom(int n, int i) throws java.lang.ArrayIndexOutOfBoundsException
n
- ni
- ijava.lang.ArrayIndexOutOfBoundsException
- if n<0, i<0 or i>nCopyright © 2018 Singular Systems http://www.singularsys.com/jep