PolynomialBase Class

Members See Also

Serves as an abstract base class for Curve derived classes that represent polynomials.

Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C#
[SerializableAttribute] public abstract class PolynomialBase : LinearCombination

Visual Basic (Declaration)
<SerializableAttribute> _ Public MustInherit Class PolynomialBase _ Inherits LinearCombination

Visual C++
[SerializableAttribute] public ref class PolynomialBase abstract : public LinearCombination

F#
[<AbstractClassAttribute>] [<SerializableAttribute>] type PolynomialBase = class inherit LinearCombination end

Remarks

This base class is provided to make it easier for implementers to create classes that implement linear combinations of specific types of univariate polynomials.

This is an abstract base class and cannot be instantiated directly. Instead, create an instance of one of the defined derived classes, or create a class that inherits from PolynomialBase.

The following derived classes have been defined:

Class	Description
Polynomial	Ordinary polynomials.
ChebyshevSeries	Linear combination of Chebyshev polynomials.

Note to inheritors: When you inherit from PolynomialBase, you should create a corresponding class that inherits from FunctionBasis. In addition, you must override the following members: ValueAt(Double), SlopeAt(Double), Integral(Double, Double). You may also want to override FindRoots()()()() and GetDerivative()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.Curves..::..Curve
    Extreme.Mathematics.Curves..::..LinearCombination
      Extreme.Mathematics.Curves..::..PolynomialBase
        Extreme.Mathematics.Curves..::..ChebyshevSeries
        Extreme.Mathematics.Curves..::..Polynomial