## Class Epsilon

• public final class Epsilon
extends Object
Taylor expansion epsilon.
• ### Method Summary

All Methods
Modifier and Type Method Description
static double epsilon​(double x)
This is the Taylor expansion of $$\frac{\exp(x)-1}{x}$$ - note for $$|x| > 10^{-10}$$ the expansion is note used .
static double epsilonP​(double x)
This is the Taylor expansion of the first derivative of $$\frac{\exp(x)-1}{x}$$.
static double epsilonPP​(double x)
This is the Taylor expansion of the second derivative of $$\frac{\exp(x)-1}{x}$$.
• ### Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• ### Method Detail

• #### epsilon

public static double epsilon​(double x)
This is the Taylor expansion of $$\frac{\exp(x)-1}{x}$$ - note for $$|x| > 10^{-10}$$ the expansion is note used .
Parameters:
x - the value
Returns:
the result
• #### epsilonP

public static double epsilonP​(double x)
This is the Taylor expansion of the first derivative of $$\frac{\exp(x)-1}{x}$$.
Parameters:
x - the value
Returns:
the result
• #### epsilonPP

public static double epsilonPP​(double x)
This is the Taylor expansion of the second derivative of $$\frac{\exp(x)-1}{x}$$.
Parameters:
x - the value
Returns:
the result