org.jscience.mathematics.structure

Interface GroupMultiplicative<G>

All Superinterfaces:

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

All Known Subinterfaces:

Field<F>

All Known Implementing Classes:

Amount, Complex, Float64, FloatingPoint, ModuloInteger, Rational, RationalFunction, Real

public interface GroupMultiplicative<G>
extends Structure<G>

This interface represents a structure with a binary multiplicative 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	inverse() Returns the multiplicative inverse of this object.
G	times(G that) Returns the product of this object with the one specified.

Methods inherited from interface javolution.lang.ValueType

copy

Method Detail

times

G times(G that)

Returns the product of this object with the one specified.

Parameters:

that - the object multiplier.

Returns:

this · that.

inverse

G inverse()

Returns the multiplicative inverse of this object. It it the object such as this.times(this.inverse()) == ONE , with ONE being the multiplicative identity.

Returns:

ONE / this.