ExtremumCurvature Property |

Gets the curvature at the extremum.

**Namespace:**
Meta.Numerics.Analysis
**Assembly:**
Meta.Numerics (in Meta.Numerics.dll) Version: 3.1.0.0 (3.1.0.0)

Syntax public double Curvature { get; }

Public ReadOnly Property Curvature As Double
Get

public:
property double Curvature {
double get ();
}

member Curvature : float with get

#### Property Value

Type:

DoubleRemarks The curvature is the second derivative of the function at the extremum.

At a typical extremum, where the function has vanishing first derivative, the second derivative will be a number
whose magnitude characterizes the "steepness" with which the function increases as one moves away from the extremum.

At an atypical extremum, for example at an interval boundary or of a non-smooth function, this
value may be meaningless.

Even in the case of a typical extremum, the value of the curvature property will typically be accurate only
to a handfull of digits. If you require a highly accurate determination of the curvature,
you should compute the second derivative of the minimzed function explicitly.

See Also