ScalarFunctionND

```
public interface ScalarFunctionND
```
A class that defines an n-Dimensional scalar function y = fn(x[1..n]) (named "function") that can be called by math tools such as a function minimizer. Also defines the derivatives of the function in each dimension: (dy/dx)[1..n] = d fn(x[1..n])/dx (oddly enough, named "derivatives").
Modified by: Joseph A. Huwaldt

Version:

July 9, 2010

Author:

Joseph A. Huwaldt Date: July 9, 2010

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	Description
`boolean`	`derivatives(double[] x, double[] dydx)`	User supplied method that calculates the derivatives of the function: (dy/dx)[1..n] = d( fn(x[1..n]))/dx.
`double`	`function(double[] x)`	User supplied method that calculates the function y = fn(x[1..n]).

- Method Detail
  - function
```
double function(double[] x)
         throws RootException
```
    User supplied method that calculates the function y = fn(x[1..n]).
    
    Parameters:
    
    x - Independent parameters to the function, passed in as input.
    
    Returns:
    
    The scalar function value for the provided list of inputs.
    
    Throws:
    
    RootException
  - derivatives
```
boolean derivatives(double[] x,
                    double[] dydx)
```
    User supplied method that calculates the derivatives of the function: (dy/dx)[1..n] = d( fn(x[1..n]))/dx.
    
    Parameters:
    
    x - Independent parameters to the function, passed in as input.
    
    dydx - Existing array that is filled in with the derivatives of the function with respect to each variable x[i].
    
    Returns:
    
    true if the derivatives were computed by this method, false if they were not.