org.lsmp.djep.groupJep.values

Class AlgebraicExtensionElement

java.lang.Object

java.lang.Number

org.lsmp.djep.groupJep.values.Polynomial

org.lsmp.djep.groupJep.values.FreeGroupElement

org.lsmp.djep.groupJep.values.AlgebraicExtensionElement

All Implemented Interfaces:

Serializable, HasComplexValueI

public class AlgebraicExtensionElement
extends FreeGroupElement

An element of the algrabraic extension K(t). a0 + a1 t + a(n-1) t^(n-1) where t is defined to be the the solution of a polynomial equation.

See Also:

AlgebraicExtension, Serialized Form

Constructor Summary

Constructors

Constructor and Description
AlgebraicExtensionElement(AlgebraicExtension K, Number[] coeffs) An element of the algebraic extension K(t).

Method Summary

Methods inherited from class org.lsmp.djep.groupJep.values.FreeGroupElement

getComplexValue

Methods inherited from class org.lsmp.djep.groupJep.values.Polynomial

add, calculateComplexValue, calculateValue, div, doubleValue, equals, floatValue, getBaseRing, getCoeff, getCoeffs, getDegree, getSymbol, intValue, isConstantPoly, longValue, mul, pow, sub, toString

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

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

Constructor Detail

AlgebraicExtensionElement

public AlgebraicExtensionElement(AlgebraicExtension K,
                                 Number[] coeffs)

An element of the algebraic extension K(t). a0 + a1 t + a(n-1) t^(n-1) where t is defined to be the the solution of a polynomial equation. If the degree of the polynomial specified by coeffs is greater than n then the polynomial will be reduced by using the equation t^n = .....

Parameters:

K - the algebraic extension.

coeffs - array of coefficients for this algebraic number. c0 + c1 t + ... + cn t^n