dev.nm.analysis.differentiation.univariate

Class DBeta

java.lang.Object

dev.nm.analysis.function.rn2r1.AbstractRealScalarFunction

dev.nm.analysis.function.rn2r1.AbstractBivariateRealFunction

dev.nm.analysis.differentiation.univariate.DBeta

All Implemented Interfaces:

Function<Vector,Double>, BivariateRealFunction, RealScalarFunction

public class DBeta
extends AbstractBivariateRealFunction

This is the first order derivative function of the Beta function w.r.t x, \({\partial \over \partial x} \mathrm{B}(x, y)\). \[ {\partial \over \partial x} \mathrm{B}(x, y) = \mathrm{B}(x, y) (\psi(x) - \psi(x + y)) \] where \(x > 0, y > 0\), \(\psi\) is the Digamma function.

See Also:

Wikipedia: Derivatives, Beta

Nested Class Summary

Nested classes/interfaces inherited from interface dev.nm.analysis.function.Function

Function.EvaluationException

Constructor Summary

Constructors

Constructor and Description
DBeta()

Method Summary

Modifier and Type	Method and Description
double	evaluate(double x, double y) Evaluate \({\partial \over \partial x} \mathrm{B}(x, y)\).

Methods inherited from class dev.nm.analysis.function.rn2r1.AbstractBivariateRealFunction

evaluate

Methods inherited from class dev.nm.analysis.function.rn2r1.AbstractRealScalarFunction

dimensionOfDomain, dimensionOfRange

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface dev.nm.analysis.function.Function

dimensionOfDomain, dimensionOfRange

Constructor Detail

DBeta

public DBeta()

Method Detail

evaluate

public double evaluate(double x,
                       double y)

Evaluate \({\partial \over \partial x} \mathrm{B}(x, y)\).

Parameters:

x - x > 0

y - y > 0

Returns:

\({\partial \over \partial x} \mathrm{B}(x, y)\)