Class Monomial

Class defining a multivariate monomial.

Inheritance
Object
Monomial
Namespace: BRIDGES.Arithmetic.Polynomials.Multivariate
Assembly: BRIDGES.dll
Syntax
public class Monomial : object

Constructors

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Monomial(Monomial)

Initialises a new instance of the Monomial class from another Monomial.

Declaration
public Monomial(Monomial other)
Parameters
Type Name Description
Monomial other

Monomial to deep copy.
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Monomial(Int32[])

Initialises a new instance of Monomial class by defining each variable's exponent .

Declaration
public Monomial(params int[] exponents)
Parameters
Type Name Description
Int32[] exponents

Variable's exponents.

Properties

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Item[Int32]

Gets the exponent of the variable at a given index.

Declaration
public int this[int index] { get; }
Parameters
Type Name Description
Int32 index

Index of the variable whose exponent to get.
Property Value
Type Description
Int32

The exponent of the variable at the given index.
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One

Gets a new Monomial, constant equal to one.

Declaration
public static Monomial One { get; }
Property Value
Type Description
Monomial
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TotalDegree

Gets the total degree of this Monomial.

Declaration
public int TotalDegree { get; }
Property Value
Type Description
Int32
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VariableCount

Gets the number of variable of this Monomial.

Declaration
public int VariableCount { get; }
Property Value
Type Description
Int32

Methods

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EvaluateAt(Double[])

Evaluates this Monomial at a given point.

Declaration
public virtual double EvaluateAt(double[] point)
Parameters
Type Name Description
Double[] point

Point to evaluate at.
Returns
Type Description
Double

The value of this Monomial at the given point.
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Multiply(Monomial, Monomial)

Computes the multiplication of two Monomial.

Declaration
public static Monomial Multiply(Monomial left, Monomial right)
Parameters
Type Name Description
Monomial left

Left Monomial for the multiplication.
Monomial right

Right Monomial for the multiplication.
Returns
Type Description
Monomial

The new Monomial resulting from the multiplication.

Operators

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Multiply(Monomial, Monomial)

Computes the multiplication of two Monomial.

Declaration
public static Monomial operator *(Monomial left, Monomial right)
Parameters
Type Name Description
Monomial left

Left Monomial for the multiplication.
Monomial right

Right Monomial for the multiplication.
Returns
Type Description
Monomial

The new Monomial resulting from the multiplication.