Package dk.jonaslindstrom.ruffini.finitefields

Class QuadraticField

java.lang.Object

dk.jonaslindstrom.ruffini.common.structures.QuotientRing<Polynomial<E>>

dk.jonaslindstrom.ruffini.finitefields.AlgebraicFieldExtension<Fraction<Integer>,Rationals>

dk.jonaslindstrom.ruffini.finitefields.QuadraticField

All Implemented Interfaces:

AdditiveGroup<Polynomial<Fraction<Integer>>>, CommutativeMonoid<Polynomial<Fraction<Integer>>>, Field<Polynomial<Fraction<Integer>>>, Group<Polynomial<Fraction<Integer>>>, Monoid<Polynomial<Fraction<Integer>>>, Ring<Polynomial<Fraction<Integer>>>, Semigroup<Polynomial<Fraction<Integer>>>, SemiRing<Polynomial<Fraction<Integer>>>, Set<Polynomial<Fraction<Integer>>>

public class QuadraticField
extends AlgebraicFieldExtension<Fraction<Integer>,Rationals>

Field Summary

Fields inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

mod, ring

Constructor Summary

Constructors

Constructor	Description
QuadraticField(Integer d)

Method Summary

Methods inherited from class dk.jonaslindstrom.ruffini.finitefields.AlgebraicFieldExtension

embed, getBaseField, invert, toString, toString

Methods inherited from class dk.jonaslindstrom.ruffini.common.structures.QuotientRing

add, equals, identity, multiply, negate, zero

Methods inherited from class java.lang.Object

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

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, negate, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add, add, zero

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Field

divideInt

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Group

divide

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Monoid

identity, isIdentity, power

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Semigroup

multiply, multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.SemiRing

integer, multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Set

equals

Constructor Details

QuadraticField

public QuadraticField(Integer d)