jhypercomplex.numbers.cayley_dickson_algebras
Class Trigintaduonion

java.lang.Object
  jhypercomplex.numbers.Hypernumber
      jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra
          jhypercomplex.numbers.cayley_dickson_algebras.Trigintaduonion

All Implemented Interfaces:

CommonMethods

public class Trigintaduonion
extends CayleyDicksonAlgebra

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

Trigintaduonion()

Trigintaduonion(Trigintaduonion t)

Method Summary

Trigintaduonion	add(Trigintaduonion t)
Trigintaduonion	conjugate() Arithmetics *
static Trigintaduonion	getAntiAssociator(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3)
static Trigintaduonion	getAntiCommutator(Trigintaduonion t1, Trigintaduonion t2)
static Trigintaduonion	getAssociationType(int nr, Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4)
static Trigintaduonion	getAssociationType(int nr, Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4, Trigintaduonion t5)
static Trigintaduonion	getAssociationTypeCommutator(int nr, Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4)
static Trigintaduonion	getAssociationTypeCommutator(int nr, Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4, Trigintaduonion t5)
static Trigintaduonion	getAssociator(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3)
java.lang.String[]	getBasis() Multiplication table and basis *
Trigintaduonion	getClone()
Hypernumber	getClone(Hypernumber s)
static Trigintaduonion	getCommutator(Trigintaduonion t1, Trigintaduonion t2)
static Trigintaduonion	getCommutator(Trigintaduonion t1, Trigintaduonion t2, boolean collect_terms)
static Trigintaduonion	getCommutatorJacobian(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3)
static Trigintaduonion	getCommutatorSaglian(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4)
static Trigintaduonion	getConjugate(Trigintaduonion t)
static Trigintaduonion	getDifference(Trigintaduonion t1, Trigintaduonion t2)
Hypernumber	getGrade(int grade)
static Trigintaduonion	getHetztelPeresian(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3, Trigintaduonion t4)
static Trigintaduonion	getImaginaryPart(Trigintaduonion t)
static Trigintaduonion	getInverse(Trigintaduonion t)
static Trigintaduonion	getJacobian(Trigintaduonion t1, Trigintaduonion t2, Trigintaduonion t3)
static java.lang.String[][]	getMultiplicationTable()
static java.lang.String	getMultTableAsHtml()
Hypernumber	getNewInstance()
static java.lang.String[][]	getNormedMultiplicationTable()
static java.lang.String	getNormedMultiplicationtableAsHtml()
int	getNumberOfComponents()
int	getNumberOfGrades()
static Trigintaduonion	getProduct(Trigintaduonion t1, Trigintaduonion t2)
static Trigintaduonion	getScalarProduct(Trigintaduonion t1, Trigintaduonion t2)
static Trigintaduonion	getSum(Trigintaduonion t1, Trigintaduonion t2)
Trigintaduonion	multiplyWithScalar(java.lang.String scalar) Multiplication with a scalar.
Trigintaduonion	negate() Negates the hypernumber: h --> -h.
Trigintaduonion	rightMultiplyWith(Hypernumber t)
void	setDefaultTable()
static void	setMultiplicationTable(java.lang.String[][] mult_table)
Trigintaduonion	square()
Trigintaduonion	subtract(Trigintaduonion t)

Methods inherited from class jhypercomplex.numbers.cayley_dickson_algebras.CayleyDicksonAlgebra

doCayleyDicksonDoubling, doCayleyDicksonDoubling, getLoopMultiplicationTable, isCayleyDicksonAlgebra, isLoop

Methods inherited from class jhypercomplex.numbers.Hypernumber

add, add, applyLeibnizRule, asString, asString, calculateBCHWith, collectTerms, compressComponents, 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, resetComponents, rightMultiplyWith, setBasis, setComponent, setComponents, setComponents, setNumerical, setNumerical, setPseudoScalarComponent, setRandomComponents, setRandomComponents, setRandomComponents, setRandomComponentsAll, setScalarComponent, simplifyNumericalFactors, simplifyNumericalSummands, simplifyPlusMinus, subtract

Methods inherited from class java.lang.Object

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

Constructor Detail

Trigintaduonion

public Trigintaduonion()

Trigintaduonion

public Trigintaduonion(Trigintaduonion t)

Method Detail

getClone

public Hypernumber getClone(Hypernumber s)

getNewInstance

public Hypernumber getNewInstance()

getClone

public Trigintaduonion getClone()

getNumberOfComponents

public int getNumberOfComponents()

getBasis

public java.lang.String[] getBasis()

Multiplication table and basis *

Specified by:

getBasis in class Hypernumber

getMultiplicationTable

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

setMultiplicationTable

public static void setMultiplicationTable(java.lang.String[][] mult_table)

setDefaultTable

public void setDefaultTable()

getMultTableAsHtml

public static java.lang.String getMultTableAsHtml()

getNormedMultiplicationTable

public static java.lang.String[][] getNormedMultiplicationTable()

getNormedMultiplicationtableAsHtml

public static java.lang.String getNormedMultiplicationtableAsHtml()

getNumberOfGrades

public int getNumberOfGrades()

getImaginaryPart

public static Trigintaduonion getImaginaryPart(Trigintaduonion t)
                                        throws java.lang.Exception

Throws:

java.lang.Exception

getGrade

public Hypernumber getGrade(int grade)
                     throws java.lang.Exception

Throws:

java.lang.Exception

conjugate

public Trigintaduonion conjugate()
                          throws java.lang.Exception

Arithmetics *

Overrides:

conjugate in class Hypernumber

Returns:

The conjugate of the hypernumber, i.e. reverses the signs of the imaginary hypercomplex components.

Throws:

java.lang.Exception

square

public Trigintaduonion square()
                       throws java.lang.Exception

Overrides:

square in class Hypernumber

Returns:

The hypernumber multiplied with itself.

Throws:

java.lang.Exception

rightMultiplyWith

public Trigintaduonion rightMultiplyWith(Hypernumber t)
                                  throws java.lang.Exception

Overrides:

rightMultiplyWith in class Hypernumber

Throws:

java.lang.Exception

negate

public Trigintaduonion negate()
                       throws java.lang.Exception

Description copied from class: Hypernumber

Negates the hypernumber: h --> -h.

Overrides:

negate in class Hypernumber

Returns:

Negated hypernumber h.

Throws:

java.lang.Exception

subtract

public Trigintaduonion subtract(Trigintaduonion t)
                         throws java.lang.Exception

Throws:

java.lang.Exception

multiplyWithScalar

public Trigintaduonion multiplyWithScalar(java.lang.String scalar)
                                   throws java.lang.Exception

Description copied from class: Hypernumber

Multiplication with a scalar.

Overrides:

multiplyWithScalar in class Hypernumber

Parameters:

scalar - Scalar.

Returns:

Hypernumber multiplied with a scalar.

Throws:

java.lang.Exception

add

public Trigintaduonion add(Trigintaduonion t)

getInverse

public static Trigintaduonion getInverse(Trigintaduonion t)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

getConjugate

public static Trigintaduonion getConjugate(Trigintaduonion t)
                                    throws java.lang.Exception

Throws:

java.lang.Exception

getSum

public static Trigintaduonion getSum(Trigintaduonion t1,
                                     Trigintaduonion t2)
                              throws java.lang.Exception

Throws:

java.lang.Exception

getDifference

public static Trigintaduonion getDifference(Trigintaduonion t1,
                                            Trigintaduonion t2)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getProduct

public static Trigintaduonion getProduct(Trigintaduonion t1,
                                         Trigintaduonion t2)
                                  throws java.lang.Exception

Throws:

java.lang.Exception

getCommutator

public static Trigintaduonion getCommutator(Trigintaduonion t1,
                                            Trigintaduonion t2)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getCommutator

public static Trigintaduonion getCommutator(Trigintaduonion t1,
                                            Trigintaduonion t2,
                                            boolean collect_terms)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getAntiCommutator

public static Trigintaduonion getAntiCommutator(Trigintaduonion t1,
                                                Trigintaduonion t2)
                                         throws java.lang.Exception

Throws:

java.lang.Exception

getAssociator

public static Trigintaduonion getAssociator(Trigintaduonion t1,
                                            Trigintaduonion t2,
                                            Trigintaduonion t3)
                                     throws java.lang.Exception

Throws:

java.lang.Exception

getAntiAssociator

public static Trigintaduonion getAntiAssociator(Trigintaduonion t1,
                                                Trigintaduonion t2,
                                                Trigintaduonion t3)
                                         throws java.lang.Exception

Throws:

java.lang.Exception

getScalarProduct

public static Trigintaduonion getScalarProduct(Trigintaduonion t1,
                                               Trigintaduonion t2)
                                        throws java.lang.Exception

Throws:

java.lang.Exception

getJacobian

public static Trigintaduonion getJacobian(Trigintaduonion t1,
                                          Trigintaduonion t2,
                                          Trigintaduonion t3)
                                   throws java.lang.Exception

Throws:

java.lang.Exception

getCommutatorJacobian

public static Trigintaduonion getCommutatorJacobian(Trigintaduonion t1,
                                                    Trigintaduonion t2,
                                                    Trigintaduonion t3)
                                             throws java.lang.Exception

Throws:

java.lang.Exception

getCommutatorSaglian

public static Trigintaduonion getCommutatorSaglian(Trigintaduonion t1,
                                                   Trigintaduonion t2,
                                                   Trigintaduonion t3,
                                                   Trigintaduonion t4)
                                            throws java.lang.Exception

Throws:

java.lang.Exception

getHetztelPeresian

public static Trigintaduonion getHetztelPeresian(Trigintaduonion t1,
                                                 Trigintaduonion t2,
                                                 Trigintaduonion t3,
                                                 Trigintaduonion t4)
                                          throws java.lang.Exception

Throws:

java.lang.Exception

getAssociationTypeCommutator

public static Trigintaduonion getAssociationTypeCommutator(int nr,
                                                           Trigintaduonion t1,
                                                           Trigintaduonion t2,
                                                           Trigintaduonion t3,
                                                           Trigintaduonion t4,
                                                           Trigintaduonion t5)
                                                    throws java.lang.Exception

Throws:

java.lang.Exception

getAssociationType

public static Trigintaduonion getAssociationType(int nr,
                                                 Trigintaduonion t1,
                                                 Trigintaduonion t2,
                                                 Trigintaduonion t3,
                                                 Trigintaduonion t4,
                                                 Trigintaduonion t5)
                                          throws java.lang.Exception

Throws:

java.lang.Exception

getAssociationTypeCommutator

public static Trigintaduonion getAssociationTypeCommutator(int nr,
                                                           Trigintaduonion t1,
                                                           Trigintaduonion t2,
                                                           Trigintaduonion t3,
                                                           Trigintaduonion t4)
                                                    throws java.lang.Exception

Throws:

java.lang.Exception

getAssociationType

public static Trigintaduonion getAssociationType(int nr,
                                                 Trigintaduonion t1,
                                                 Trigintaduonion t2,
                                                 Trigintaduonion t3,
                                                 Trigintaduonion t4)
                                          throws java.lang.Exception

Throws:

java.lang.Exception