org.jscience.mathematics.structures
Interface GroupMultiplicative<G>

All Superinterfaces:

Immutable, Realtime, java.io.Serializable, Structure<G>

All Known Subinterfaces:

Field<F>

All Known Implementing Classes:

Complex, Float64, Measure, 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

Nested Class Summary

Nested classes/interfaces inherited from interface javolution.context.Realtime

Realtime.ObjectSpace

Method Summary

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.context.Realtime

move, toText

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.reciprocal()) == ONE , with ONE being the multiplicative identity.

Returns:

ONE / this.