PolynomialBasis Class

Members See Also

Represents a FunctionBasis for the polynomials up to a specified degree.

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 class PolynomialBasis : FunctionBasis

Visual Basic (Declaration)
<SerializableAttribute> _ Public Class PolynomialBasis _ Inherits FunctionBasis

Visual C++
[SerializableAttribute] public ref class PolynomialBasis : public FunctionBasis

F#
[<SerializableAttribute>] type PolynomialBasis = class inherit FunctionBasis end

Remarks

Use a PolynomialBasis object to represent a basis for the polynomials. Only in rare cases will it be necessary to construct a PolynomialBasis, as most functionality is available through the Polynomial class.

The basis functions of a PolynomialBasis are the monomials of degree 0 up to and including the specified degree.

The Chebyshev polynomials form an alternate basis for the polynomials and have many desirable numerical properties.

Inheritance Hierarchy

System..::..Object
Extreme.Mathematics.Curves..::..FunctionBasis
Extreme.Mathematics.Curves..::..PolynomialBasis