GroupMultiplicative

All Superinterfaces:

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

All Known Subinterfaces:

Field<F>

All Known Implementing Classes:

Amount, Complex, Float64, FloatingPoint, ModuloInteger, Parameter, 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

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	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.