jhypercomplex.numbers.cayley_dickson_algebras
Class OctonionLoop

java.lang.Object
  jhypercomplex.numbers.Hypernumber
      jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra
          jhypercomplex.numbers.cayley_dickson_algebras.Octonion
              jhypercomplex.numbers.cayley_dickson_algebras.OctonionLoop

All Implemented Interfaces:

CommonMethods

public class OctonionLoop
extends Octonion

Author:

Markus Maute (http://www.JHyperComplex.com)

Field Summary

Fields inherited from class jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra

_2_N_ON, CLASSICAL, COMPLEX, OCTONION, QUATERNION, SEDENION, TRIGINTADUONION, TWISTED

Fields inherited from class jhypercomplex.numbers.Hypernumber

ARG_NUM, CIRCULAR, COMP_NUM, components, HYPERBOLIC, ZERO_PRECISSION

Constructor Summary

OctonionLoop()

OctonionLoop(OctonionLoop octonionLoop)

Method Summary

java.lang.String[]	getBasis()
Octonion	getClone()
int	getNumberOfComponents()
boolean	isLoop()

Methods inherited from class jhypercomplex.numbers.cayley_dickson_algebras.Octonion

add, calculateBCHWith, conjugate, doCayleyDicksonDoubling, doCayleyDicksonDoubling, doCayleyDicksonDoubling, doCayleyDicksonProcess, getAlgebraType, getAntiAssociator, getAntiCommutatorWith, getAssociationType, getAssociationTypeCommutator, getAssociator, getBiVectorComponents, getCayleyDicksonTable, getCayleyDicksonTable, getCommutator, getCommutatorJacobian, getCommutatorWith, getDifference, getFanoPlane, getGrade, getGrades, getGradesOccuring, getJacobian, getMultiplicationTable, getMultiplicationTableAsArray, getMultTable, getMultTableAsHtml, getNegated, getNewInstance, getNormedMultiplicationTable, getNormedMultiplicationtableAsHtml, getNumberOfGrades, getNumericalInverse, getOuterProduct, getProduct, getProductWithScalar, getScalarProduct, getSubalgebras, getSubalgebrasUnsigned, getSum, getTriadSet, getTriVectorComponents, getVectorComponents, getVectorProduct, isSixthRootOfUnity, isThirdRootOfUnity, multiplyWithScalar, negate, rightMultiplyWith, setBiVectorComponents, setDefaultTable, setFanoPlane, setMultiplicationTable, setMultiplicationTable, setOctonionMultTable, setTriVectorComponents, setType, setVectorComponents, subtract

Methods inherited from class jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra

getLoopMultiplicationTable, isCayleyDicksonAlgebra

Methods inherited from class jhypercomplex.numbers.Hypernumber

add, applyLeibnizRule, asString, asString, calculateBCHWith, collectTerms, compressComponents, dual, getAlternator1, getAlternator2, getAntiCommutator, getAssociationType, getAssociationType, getAssociationTypeAsString, getAssociationTypeAsString, getAssociationTypeCommutator, getAssociationTypeCommutator, getAssociationTypeCommutatorAsString, getAssociationTypeCommutatorAsString, getAssociator, getBasisElementsAsString, getCommuAssociator, getCommutator, getCommutator, getCommutatorJacobian, getCommutatorSaglian, getCommutatorWith, getComponent, getComponents, getComponentsAsString, getComponentsAsString, getComponentsOfGrade, getConjugate, getDiagonalProducts, getDifference, getDual, getExpressionAsList, getFirstHetztelPeresian, getFormattedMultTable, getGradedInnerProduct, getHermitianConjugate, getImaginaryPart, getInstance, getIntersection, getJacobian, getJordanAssociator, getLeftCovariantDerivative, getMultiplicativeOrder, getMultiplicativeOrder, getMultTableDiagonal, getNegated, getNextBitmap, getNormedMultiplicationTable, getNormSquared, getNormSquaredAsValue, getNumberOfClosedElements, getNumberOfClosedPairs, getNumberOfComponents, getNumberOfNonzeroComponents, getOuterProduct, getProduct, getPseudoScalarComponent, getRandomClosedPair, getRandomNonClosedPair, getScalarComponent, getScalarProduct, getSecondHetztelPeresian, getSignature, getSubalgebras, getSubalgebrasAsString, getSubalgebrasSignatures, getSum, getTrace, getTraceRespDeterminant, getVectorDerivative, getVectorProduct, isAutomorphism, isClosedAlgebra, isCommutative, isComponentZero, isEqual, isLinearlyDependent, isNumerical, isNumericalityDetected, isOrthogonal, isOrthogonalTo, isZero, resetComponents, rightMultiplyWith, rightMultiplyWith, setBasis, setComponent, setComponents, setComponents, setNumerical, setNumerical, setPseudoScalarComponent, setRandomComponents, setRandomComponents, setRandomComponents, setRandomComponentsAll, setScalarComponent, simplifyNumericalFactors, simplifyNumericalSummands, simplifyPlusMinus, square

Methods inherited from class java.lang.Object

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

Constructor Detail

OctonionLoop

public OctonionLoop()

OctonionLoop

public OctonionLoop(OctonionLoop octonionLoop)

Method Detail

getClone

public Octonion getClone()

Specified by:

getClone in interface CommonMethods

Overrides:

getClone in class Octonion

getNumberOfComponents

public int getNumberOfComponents()

Specified by:

getNumberOfComponents in interface CommonMethods

Overrides:

getNumberOfComponents in class Octonion

getBasis

public java.lang.String[] getBasis()

Overrides:

getBasis in class Octonion

isLoop

public boolean isLoop()

Overrides:

isLoop in class CayleyDicksonAlgebra

Returns:

Set of elements of the algebra ... example Octonion[0] = (1,0,0,1,1,1,0) Octonion[1] = (1,1,0,0,1,0,1) would be two quaternion subalgebras, describe that ...