GroupAdditive

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).

See Also:

Wikipedia: Mathematical Group

Method Summary

All Methods Instance Methods Abstract Methods
Modifier and Type	Method	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.