jhypercomplex.numbers.clifford_algebras
Class PlaneAlgebra

java.lang.Object
  jhypercomplex.numbers.Hypernumber
      jhypercomplex.numbers.clifford_algebras.CliffordAlgebra
          jhypercomplex.numbers.clifford_algebras.PlaneAlgebra

All Implemented Interfaces:

CommonMethods

public class PlaneAlgebra
extends CliffordAlgebra

Field Summary

Fields inherited from class jhypercomplex.numbers.clifford_algebras.CliffordAlgebra

dim, grade_nr

Fields inherited from class jhypercomplex.numbers.Hypernumber

ARG_NUM, CIRCULAR, COMP_NUM, components, HYPERBOLIC, ZERO_PRECISSION

Constructor Summary

PlaneAlgebra()

PlaneAlgebra(int p, int q)

PlaneAlgebra(PlaneAlgebra sta)

Method Summary

PlaneAlgebra	add(Hypernumber h)
static PlaneAlgebra	getAntiCommutator(PlaneAlgebra sta1, PlaneAlgebra sta2)
static PlaneAlgebra	getAssociator(PlaneAlgebra sta1, PlaneAlgebra sta2, PlaneAlgebra sta3)
java.lang.String[]	getBasis()
Hypernumber	getClone()
PlaneAlgebra	getClone(Hypernumber sta)
static PlaneAlgebra	getCommutator(PlaneAlgebra sta1, PlaneAlgebra sta2)
PlaneAlgebra	getEvenGrade(PlaneAlgebra sta)
PlaneAlgebra	getGrade(int grade) Projects out a given grade.
java.lang.String[][]	getMultiplicationTable()
PlaneAlgebra	getNewInstance()
int	getNumberOfComponents()
int	getNumberOfGrades()
static PlaneAlgebra	getProduct(PlaneAlgebra sta1, PlaneAlgebra sta2)
PlaneAlgebra	getReverted() Reverts a vector.
int	getType()
java.lang.String[]	getVectorComponents()
PlaneAlgebra	rightMultiplyWith(PlaneAlgebra sta)

Methods inherited from class jhypercomplex.numbers.clifford_algebras.CliffordAlgebra

compress, getBiVectorComponents, getBladeNumbers, getBlades, getGrades, getGradesOccuring, getMultTableAsHtml, order, rightMultiplyWith, setBasis, setBiVectorComponents, setBiVectorComponentsExclusively, setCliffordComponentsOfGrade, setVectorComponents, setVectorComponentsExclusively

Methods inherited from class jhypercomplex.numbers.Hypernumber

add, applyLeibnizRule, asString, asString, calculateBCHWith, collectTerms, compressComponents, conjugate, dual, getAlternator1, getAlternator2, getAntiAssociator, getAntiCommutator, getAntiCommutatorWith, getAssociationType, getAssociationType, getAssociationTypeAsString, getAssociationTypeAsString, getAssociationTypeCommutator, getAssociationTypeCommutator, getAssociationTypeCommutatorAsString, getAssociationTypeCommutatorAsString, getAssociator, getBasisElementsAsString, getCommuAssociator, getCommutator, getCommutator, getCommutatorJacobian, getCommutatorSaglian, getCommutatorWith, 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, getNumericalInverse, getOuterProduct, getProduct, getProductWithScalar, 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, multiplyWithScalar, negate, resetComponents, rightMultiplyWith, rightMultiplyWith, setBasis, setComponent, setComponents, setComponents, setNumerical, setNumerical, setPseudoScalarComponent, setRandomComponents, setRandomComponents, setRandomComponents, setRandomComponentsAll, setScalarComponent, simplifyNumericalFactors, simplifyNumericalSummands, simplifyPlusMinus, square, subtract

Methods inherited from class java.lang.Object

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

Methods inherited from interface jhypercomplex.numbers.CommonMethods

isCayleyDicksonAlgebra

Constructor Detail

PlaneAlgebra

public PlaneAlgebra()

PlaneAlgebra

public PlaneAlgebra(int p,
                    int q)

PlaneAlgebra

public PlaneAlgebra(PlaneAlgebra sta)

Method Detail

getReverted

public PlaneAlgebra getReverted()

Reverts a vector. A reversion R obeys R(A*B) = R(A)*R(B). For the components it means that the grade 2 and grade 3 summans change their sign.

Parameters:

sta - Plane algebra to be inversted.

Returns:

Copy of Reverted multivector.

getGrade

public PlaneAlgebra getGrade(int grade)

Projects out a given grade.

Specified by:

getGrade in interface CommonMethods

Overrides:

getGrade in class CliffordAlgebra

Parameters:

grade - Grade.

Returns:

Spacetime algebra multivector of given grade.

add

public PlaneAlgebra add(Hypernumber h)

Overrides:

add in class Hypernumber

getEvenGrade

public PlaneAlgebra getEvenGrade(PlaneAlgebra sta)

getProduct

public static PlaneAlgebra getProduct(PlaneAlgebra sta1,
                                      PlaneAlgebra sta2)
                               throws java.lang.Exception

Throws:

java.lang.Exception

rightMultiplyWith

public PlaneAlgebra rightMultiplyWith(PlaneAlgebra sta)
                               throws java.lang.Exception

Throws:

java.lang.Exception

getCommutator

public static PlaneAlgebra getCommutator(PlaneAlgebra sta1,
                                         PlaneAlgebra sta2)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

getAntiCommutator

public static PlaneAlgebra getAntiCommutator(PlaneAlgebra sta1,
                                             PlaneAlgebra sta2)
                                      throws java.lang.Exception

Throws:

java.lang.Exception

getAssociator

public static PlaneAlgebra getAssociator(PlaneAlgebra sta1,
                                         PlaneAlgebra sta2,
                                         PlaneAlgebra sta3)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

getClone

public PlaneAlgebra getClone(Hypernumber sta)

Specified by:

getClone in class CliffordAlgebra

getVectorComponents

public java.lang.String[] getVectorComponents()
                                       throws java.lang.Exception

Throws:

java.lang.Exception

getNewInstance

public PlaneAlgebra getNewInstance()

Specified by:

getNewInstance in interface CommonMethods

Specified by:

getNewInstance in class CliffordAlgebra

getClone

public Hypernumber getClone()

getBasis

public java.lang.String[] getBasis()

Specified by:

getBasis in class Hypernumber

getMultiplicationTable

public java.lang.String[][] getMultiplicationTable()

getNumberOfComponents

public int getNumberOfComponents()

getType

public int getType()

getNumberOfGrades

public int getNumberOfGrades()
                      throws java.lang.Exception

Throws:

java.lang.Exception