PolynomialBase Class

[SerializableAttribute]
public abstract class PolynomialBase : LinearCombination

<SerializableAttribute>
Public MustInherit Class PolynomialBase
	Inherits LinearCombination

[SerializableAttribute]
public ref class PolynomialBase abstract : public LinearCombination

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

The PolynomialBase type exposes the following members.

	Name	Description
	PolynomialBase(Double)	Constructs a new curve with a specified set of parameters.
	PolynomialBase(Int32)	Constructs a new curve with the specified number of parameters.

	Name	Description
	Basis	Gets the FunctionBasis associated with the linear combination. (Inherited from LinearCombination.)
	Coefficient	Gets or sets the coefficient of the function with the specified index. (Inherited from LinearCombination.)
	Degree	Gets the degree of the polynomial.
	Parameters	Gets the collection of parameters that determine the shape of this Curve. (Inherited from Curve.)

	Name	Description
	Add(LinearCombination)	Adds another LinearCombination to this instance. (Inherited from LinearCombination.)
	Add(Double, LinearCombination)	Adds a multiple of another LinearCombination to this instance. (Inherited from LinearCombination.)
	Clone	Constructs an exact copy of this instance. (Inherited from Curve.)
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	FindRoots	Gets the set of X-coordinates where the curve crosses the X-axis. (Inherited from Curve.)
	GetCurveFitter	Returns a CurveFitter object that can be used to fit the curve to data. (Inherited from LinearCombination.)
	GetDerivative	Returns a Curve that represents the derivative of this Curve. (Inherited from Curve.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Integral	Gets the definite integral of the curve between the specified X-coordinates. (Inherited from Curve.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnParameterChanged	Called when a coefficient of the polynomial is changed. (Overrides CurveOnParameterChanged(Int32, Double).)
	OnParameterChanging	Called before the value of a curve parameter is changed. (Inherited from Curve.)
	Reduce	Reduces the degree of a polynomial so that the leading coefficient is different from zero.
	Reduce(Double)	Reduces the degree of a polynomial so that the leading coefficient is greater than the specified tolerance.
	SetParameter	Sets a curve parameter to the specified value. (Inherited from Curve.)
	SlopeAt	Gets the slope of the curve at the specified X-coordinate. (Inherited from LinearCombination.)
	Solve	Finds the x value where the curve reaches the specified y value. (Inherited from Curve.)
	Subtract(LinearCombination)	Subtracts another LinearCombination from this instance. (Inherited from LinearCombination.)
	TangentAt	Gets the tangent line to the curve at the specified X-coordinate. (Inherited from Curve.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	ValueAt	Gets the Y-value of the curve at the specified X-coordinate. (Inherited from LinearCombination.)

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:

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.

Reference