jsci.maths.polynomials

Class RealPolynomialRing

java.lang.Object

jsci.maths.polynomials.RealPolynomialRing

All Implemented Interfaces:

Ring, AbelianGroup

public class RealPolynomialRing
extends java.lang.Object
implements Ring

Nested Class Summary

Nested classes/interfaces inherited from interface jsci.maths.fields.Ring

Ring.Member

Method Summary

Modifier and Type	Method and Description
static RealPolynomialRing	getInstance() Singleton.
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one member is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the member is the unit element.
boolean	isZero(AbelianGroup.Member g) Returns true if the member is the identity element of this group.
Ring.Member	one() Returns the unit element.
AbelianGroup.Member	zero() Returns the identity element.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

getInstance

public static final RealPolynomialRing getInstance()

Singleton.

isNegative

public boolean isNegative(AbelianGroup.Member a,
                          AbelianGroup.Member b)

Returns true if one member is the negative of the other.

Specified by:

isNegative in interface AbelianGroup

Parameters:

a - a group member

b - a group member

isOne

public boolean isOne(Ring.Member r)

Returns true if the member is the unit element.

Specified by:

isOne in interface Ring

isZero

public boolean isZero(AbelianGroup.Member g)

Returns true if the member is the identity element of this group.

Specified by:

isZero in interface AbelianGroup

Parameters:

g - a group member

one

public Ring.Member one()

Returns the unit element.

Specified by:

one in interface Ring

zero

public AbelianGroup.Member zero()

Returns the identity element.

Specified by:

zero in interface AbelianGroup