org.apache.commons.math3.analysis.function

## Class Gaussian

• ### Nested Class Summary

Nested Classes
Modifier and Type Class and Description
`static class ` `Gaussian.Parametric`
Parametric function where the input array contains the parameters of the Gaussian, ordered as follows: Norm Mean Standard deviation
• ### Constructor Summary

Constructors
Constructor and Description
`Gaussian()`
Normalized gaussian with zero mean and unit standard deviation.
```Gaussian(double mean, double sigma)```
Normalized gaussian with given mean and standard deviation.
```Gaussian(double norm, double mean, double sigma)```
Gaussian with given normalization factor, mean and standard deviation.
• ### Method Summary

Methods
Modifier and Type Method and Description
`UnivariateFunction` `derivative()`
Returns the derivative of the function
`double` `value(double x)`
Compute the value of the function.
• ### Methods inherited from class java.lang.Object

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

• #### Gaussian

```public Gaussian(double norm,
double mean,
double sigma)```
Gaussian with given normalization factor, mean and standard deviation.
Parameters:
`norm` - Normalization factor.
`mean` - Mean.
`sigma` - Standard deviation.
Throws:
`NotStrictlyPositiveException` - if `sigma <= 0`.
• #### Gaussian

```public Gaussian(double mean,
double sigma)```
Normalized gaussian with given mean and standard deviation.
Parameters:
`mean` - Mean.
`sigma` - Standard deviation.
Throws:
`NotStrictlyPositiveException` - if `sigma <= 0`.
• #### Gaussian

`public Gaussian()`
Normalized gaussian with zero mean and unit standard deviation.
• ### Method Detail

• #### value

`public double value(double x)`
Compute the value of the function.
Specified by:
`value` in interface `UnivariateFunction`
Parameters:
`x` - Point at which the function value should be computed.
Returns:
the value of the function.
• #### derivative

`public UnivariateFunction derivative()`
Returns the derivative of the function
Specified by:
`derivative` in interface `DifferentiableUnivariateFunction`
Returns:
the derivative function