JSci.maths.groups
Class CyclicGroup.Member

java.lang.Object
  JSci.maths.groups.CyclicGroup.Member

All Implemented Interfaces:

AbelianGroup.Member, Group.Member, Member, Monoid.Member, Semigroup.Member, java.io.Serializable

Enclosing class:

CyclicGroup

class CyclicGroup.Member

extends java.lang.Object

implements AbelianGroup.Member, Group.Member

Constructor Summary

CyclicGroup.Member(int x)

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member g) The group composition law.
Semigroup.Member	compose(Semigroup.Member g) The group composition law.
boolean	equals(java.lang.Object o) Returns true if this member is equal to another.
Group.Member	inverse() Returns the inverse member.
AbelianGroup.Member	negate() Returns the inverse member.
AbelianGroup.Member	subtract(AbelianGroup.Member g) The group composition law with inverse.

Methods inherited from class java.lang.Object

clone, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

CyclicGroup.Member

public CyclicGroup.Member(int x)

Method Detail

equals

public boolean equals(java.lang.Object o)

Returns true if this member is equal to another.

add

public AbelianGroup.Member add(AbelianGroup.Member g)

The group composition law.

Specified by:

add in interface AbelianGroup.Member

Parameters:

g - a group member

negate

public AbelianGroup.Member negate()

Returns the inverse member.

Specified by:

negate in interface AbelianGroup.Member

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member g)

The group composition law with inverse.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

g - a group member

compose

public Semigroup.Member compose(Semigroup.Member g)

The group composition law.

Specified by:

compose in interface Semigroup.Member

Parameters:

g - a group member

inverse

public Group.Member inverse()

Returns the inverse member.

Specified by:

inverse in interface Group.Member