jhypercomplex.numbers.clifford_algebras
Class DeSitterAlgebra

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

All Implemented Interfaces:

CommonMethods

public class DeSitterAlgebra
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

DeSitterAlgebra()

DeSitterAlgebra(DeSitterAlgebra dsa)

Method Summary

DeSitterAlgebra	add(Hypernumber h)
static DeSitterAlgebra	getAntiCommutator(DeSitterAlgebra dsa1, DeSitterAlgebra dsa2)
static DeSitterAlgebra	getAssociator(DeSitterAlgebra dsa1, DeSitterAlgebra dsa2, DeSitterAlgebra dsa3)
java.lang.String[]	getBasis()
java.lang.String	getBladeNumbers()
Hypernumber	getClone()
DeSitterAlgebra	getClone(Hypernumber dsa)
static DeSitterAlgebra	getCommutator(DeSitterAlgebra dsa1, DeSitterAlgebra dsa2)
DeSitterAlgebra	getEvenGrade(DeSitterAlgebra sta)
DeSitterAlgebra	getGrade(int grade) Projects out a given grade.
DeSitterAlgebra	getNewInstance()
int	getNumberOfComponents()
int	getNumberOfGrades()
static DeSitterAlgebra	getProduct(DeSitterAlgebra dsa1, DeSitterAlgebra dsa2)
DeSitterAlgebra	getReverted() Reverts a vector.
DeSitterAlgebra	rightMultiplyWith(DeSitterAlgebra dsa)

Methods inherited from class jhypercomplex.numbers.clifford_algebras.CliffordAlgebra

compress, getBiVectorComponents, 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

DeSitterAlgebra

public DeSitterAlgebra()

DeSitterAlgebra

public DeSitterAlgebra(DeSitterAlgebra dsa)

Method Detail

getReverted

public DeSitterAlgebra 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 - De Sitter algebra to be inversted.

Returns:

Copy of Reverted De Sitter multivector.

getGrade

public DeSitterAlgebra getGrade(int grade)

Projects out a given grade.

Specified by:

getGrade in interface CommonMethods

Overrides:

getGrade in class CliffordAlgebra

Parameters:

grade - Grade.

Returns:

De Sitter algebra multivector of given grade.

add

public DeSitterAlgebra add(Hypernumber h)

Overrides:

add in class Hypernumber

getBladeNumbers

public java.lang.String getBladeNumbers()

Overrides:

getBladeNumbers in class CliffordAlgebra

getEvenGrade

public DeSitterAlgebra getEvenGrade(DeSitterAlgebra sta)

getProduct

public static DeSitterAlgebra getProduct(DeSitterAlgebra dsa1,
                                         DeSitterAlgebra dsa2)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

rightMultiplyWith

public DeSitterAlgebra rightMultiplyWith(DeSitterAlgebra dsa)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

getCommutator

public static DeSitterAlgebra getCommutator(DeSitterAlgebra dsa1,
                                            DeSitterAlgebra dsa2)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getAntiCommutator

public static DeSitterAlgebra getAntiCommutator(DeSitterAlgebra dsa1,
                                                DeSitterAlgebra dsa2)
                                         throws java.lang.Exception

Throws:

java.lang.Exception

getAssociator

public static DeSitterAlgebra getAssociator(DeSitterAlgebra dsa1,
                                            DeSitterAlgebra dsa2,
                                            DeSitterAlgebra dsa3)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getClone

public DeSitterAlgebra getClone(Hypernumber dsa)

Specified by:

getClone in class CliffordAlgebra

getNewInstance

public DeSitterAlgebra getNewInstance()

Specified by:

getNewInstance in interface CommonMethods

Specified by:

getNewInstance in class CliffordAlgebra

getClone

public Hypernumber getClone()

getNumberOfComponents

public int getNumberOfComponents()

getBasis

public java.lang.String[] getBasis()

Specified by:

getBasis in class Hypernumber

getNumberOfGrades

public int getNumberOfGrades()
                      throws java.lang.Exception

Throws:

java.lang.Exception