org.jscience.mathematics.structure

Interface GroupAdditive<G>

All Superinterfaces:

javolution.lang.Immutable, Structure<G>, javolution.lang.ValueType

All Known Subinterfaces:

Field<F>, Ring<R>, VectorSpace<V,F>, VectorSpaceNormed<V,F>

All Known Implementing Classes:

Amount, Complex, ComplexMatrix, ComplexVector, Constant, DenseMatrix, DenseVector, Float64, Float64Matrix, Float64Vector, FloatingPoint, Integer64, LargeInteger, Matrix, ModuloInteger, Number, Polynomial, Rational, RationalFunction, Real, SparseMatrix, SparseVector, Vector

public interface GroupAdditive<G>
extends Structure<G>

This interface represents a structure with a binary additive operation (+), satisfying the group axioms (associativity, neutral element, inverse element and closure).

Version:

3.0, February 13, 2006

Author:

Jean-Marie Dautelle

See Also:

Wikipedia: Mathematical Group

Method Summary

Modifier and Type	Method and Description
G	opposite() Returns the additive inverse of this object.
G	plus(G that) Returns the sum of this object with the one specified.

Methods inherited from interface javolution.lang.ValueType

copy

Method Detail

plus

G plus(G that)

Returns the sum of this object with the one specified.

Parameters:

that - the object to be added.

Returns:

this + that.

opposite

G opposite()

Returns the additive inverse of this object. It is the object such as this.plus(this.opposite()) == ZERO, with ZERO being the additive identity.

Returns:

-this.