Class Monomial<T extends Ring<T>>

java.lang.Object

org.episteme.core.mathematics.symbolic.Monomial<T>

All Implemented Interfaces:

Comparable<Monomial<T>>

public class Monomial<T extends Ring<T>>
extends Object
implements Comparable<Monomial<T>>

Represents a monomial, which is a product of variables raised to non-negative integer powers. Example: x^2 * y^1

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
Monomial(Map<Variable<T>, Integer> powers)

Method Summary

Modifier and Type	Method	Description
int	compareTo(Monomial<T> o)
int	degree()	Returns the degree of this monomial (sum of exponents).
boolean	equals(Object o)
int	getPower(Variable<T> v)	Returns the power of a specific variable.
Map<Variable<T>, Integer>	getPowers()
int	hashCode()
Monomial<T>	multiply(Monomial<T> other)	Multiplies this monomial by another.
static <T extends Ring<T>> Monomial<T>	of(Variable<T> v)
static <T extends Ring<T>> Monomial<T>	one()
String	toString()

Methods inherited from class Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Details

Monomial

public Monomial(Map<Variable<T>, Integer> powers)

Method Details

one

public static <T extends Ring<T>> Monomial<T> one()

of

public static <T extends Ring<T>> Monomial<T> of(Variable<T> v)

degree

public int degree()

Returns the degree of this monomial (sum of exponents).

multiply

public Monomial<T> multiply(Monomial<T> other)

Multiplies this monomial by another.

getPower

public int getPower(Variable<T> v)

Returns the power of a specific variable.

getPowers

public Map<Variable<T>, Integer> getPowers()

toString

public String toString()

Overrides:

toString in class Object

equals

public boolean equals(Object o)

Overrides:

equals in class Object

hashCode

public int hashCode()

Overrides:

hashCode in class Object

compareTo

public int compareTo(Monomial<T> o)

Specified by:

compareTo in interface Comparable<T extends Ring<T>>