Abstract class representing a parameterized functional.
Namespace:
CenterSpace.NMath.CoreAssembly: NMath (in NMath.dll) Version: 5.1.0.0
Syntax
| C# |
|---|
[SerializableAttribute] public abstract class DoubleParameterizedFunctional : ICloneable |
| Visual Basic (Declaration) |
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<SerializableAttribute> _ Public MustInherit Class DoubleParameterizedFunctional _ Implements ICloneable |
| Visual C++ |
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[SerializableAttribute] public ref class DoubleParameterizedFunctional abstract : ICloneable |
Remarks
A parameterized functional
defines a funtion mapping a vector to a real value for each set of parameters. For example:
f(x1, x2: a, b) = a*cos(b*x1) + b*sin(a*x2)
is a parameterized function. For each set of values, a and b, it defines a function of x1, x2. For example if a = 1 and b = 2 then
f(x1, x2) = cos(2*x1) + 2*sin(x2)
Parameterized function are used by curve fitting routines and solve the following problem -
Suppose I have a set of points (xi, yi), i = 1...n, and I want to determine the values of a and b in the above parameterized function f(x1, x2: a, b) described above so that f fits the data points.
f(x1, x2: a, b) = a*cos(b*x1) + b*sin(a*x2)
is a parameterized function. For each set of values, a and b, it defines a function of x1, x2. For example if a = 1 and b = 2 then
f(x1, x2) = cos(2*x1) + 2*sin(x2)
Parameterized function are used by curve fitting routines and solve the following problem -
Suppose I have a set of points (xi, yi), i = 1...n, and I want to determine the values of a and b in the above parameterized function f(x1, x2: a, b) described above so that f fits the data points.
Inheritance Hierarchy
System..::.Object
CenterSpace.NMath.Core..::.DoubleParameterizedFunctional
CenterSpace.NMath.Analysis..::.LagrangianFunction
CenterSpace.NMath.Core..::.DoubleVectorParameterizedDelegate
CenterSpace.NMath.Core..::.DoubleParameterizedFunctional
CenterSpace.NMath.Analysis..::.LagrangianFunction
CenterSpace.NMath.Core..::.DoubleVectorParameterizedDelegate