## org.apache.commons.math3.analysis.function Class Gaussian

```java.lang.Object org.apache.commons.math3.analysis.function.Gaussian
```
All Implemented Interfaces:
DifferentiableUnivariateFunction, UnivariateDifferentiableFunction, UnivariateFunction

`public class Gaussianextends Objectimplements UnivariateDifferentiableFunction, DifferentiableUnivariateFunction`

Gaussian function.

Since:
3.0
Version:
\$Id: Gaussian.java 1383441 2012-09-11 14:56:39Z luc \$

Nested Class Summary
`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
`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
` UnivariateFunction` `derivative()`
Deprecated. as of 3.1, replaced by `value(DerivativeStructure)`
` DerivativeStructure` `value(DerivativeStructure t)`
Simple mathematical 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)
throws NotStrictlyPositiveException```
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)
throws NotStrictlyPositiveException```
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

```@Deprecated
public UnivariateFunction derivative()```
Deprecated. as of 3.1, replaced by `value(DerivativeStructure)`

Returns the derivative of the function

Specified by:
`derivative` in interface `DifferentiableUnivariateFunction`
Returns:
the derivative function

### value

`public DerivativeStructure value(DerivativeStructure t)`
Simple mathematical function.

`UnivariateDifferentiableFunction` classes compute both the value and the first derivative of the function.

Specified by:
`value` in interface `UnivariateDifferentiableFunction`
Parameters:
`t` - function input value
Returns:
function result
Since:
3.1

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