jhypercomplex.algebras

Class TensoredAlgebra

java.lang.Object

jhypercomplex.BinaryProductStructure

jhypercomplex.algebras.BinaryAlgebra

jhypercomplex.algebras.TensoredAlgebra

Direct Known Subclasses:

ComplexOctonion, ComplexQuaternion, ComplexSedenion

public abstract class TensoredAlgebra
extends BinaryAlgebra

Tensor product of two algebras.

Field Summary

Fields inherited from class jhypercomplex.BinaryProductStructure

ARG_NUM, CIRCULAR, COMP_NUM, components, HYPERBOLIC, ZERO_PRECISSION

Constructor Summary

Constructors

Constructor and Description
TensoredAlgebra(BinaryAlgebra algebra1, BinaryAlgebra algebra2) Constructor for the two algebras to be tensored, according to (algebra1) x (algebra2).

Method Summary

Methods

Modifier and Type	Method and Description
java.lang.String[]	getBasis()
java.lang.String[][]	getMTab() Multiplication table and basis *
static MultiplicationTable	getMultiplicationTable()
static java.lang.String	getMultTableAsHtml()
int	getNumberOfGrades()
boolean	isCayleyDicksonAlgebra()

Methods inherited from class jhypercomplex.algebras.BinaryAlgebra

add, add, applyLeibnizRule, calculateBCHWith, getAntiCommutatorWith, getClone, getCommutatorWith, getCommutatorWith, getComponentsOfGrade, getDifference, getGrade, getGradedInnerProduct, getIntersection, getLeftCovariantDerivative, getNumberOfComponents, getOuterProduct, getProduct, getScalarProduct, getSum, getTernaryInnerProduct, isCommutative, isEqual, isOrthogonal, isOrthogonalTo, isProjectionOperator, rightMultiplyWith, subtract

Methods inherited from class jhypercomplex.BinaryProductStructure

asString, asString, collectTerms, compressComponents, conjugate, dual, getBasisElementAsString, getBasisElementsAsString, getClosedPairsAsString, getComponent, getComponents, getComponentsAsString, getComponentsAsString, getConjugate, getDiagonalProducts, getDual, getExpressionAsList, getFormattedMultTable, getHermitianConjugate, getImaginaryPart, getInstance, getMultiplicationTableAsArray, getMultiplicativeOrder, getMultiplicativeOrder, getMultTableDiagonal, getNegated, getNewInstance, getNextBitmap, getNonzeroComponentsNumbered, getNonzeroComponentsNumbered, getNormedMultiplicationTable, getNormSquared, getNormSquaredAsValue, getNumberOfClosedElements, getNumberOfClosedPairs, getNumberOfComponents, getNumberOfNonzeroComponents, getNumericalInverse, getProduct, getProductWithScalar, getPseudoScalarComponent, getRandomClosedPair, getRandomNonClosedPair, getScalarComponent, getSubalgebras, getSubalgebrasAsString, getSubalgebrasSignatures, getTrace, getTraceRespDeterminant, getVectorDerivative, getVectorProduct, isAutomorphism, isCayleyDicksonLoop, isComponentZero, isLinearlyDependent, isNumerical, isNumericalityDetected, isProductClosed, isZero, multiplyWithScalar, negate, resetComponents, rightMultiplyWith, rightMultiplyWith, setBasis, setComponent, setComponentAsBasisNames, setComponentExclusively, setComponents, setComponents, setIndexedComponents, setMultiplicationTable, setMultiplicationTable, setNumerical, setNumerical, setPseudoScalarComponent, setRandomComponents, setRandomComponents, setRandomComponents, setRandomComponentsAll, setRepresentation, setScalarComponent, setSignTable, simplifyNumericalFactors, simplifyNumericalSummands, simplifyPlusMinus, square

Methods inherited from class java.lang.Object

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

Constructor Detail

TensoredAlgebra

public TensoredAlgebra(BinaryAlgebra algebra1,
               BinaryAlgebra algebra2)
                throws java.lang.Exception

Constructor for the two algebras to be tensored, according to (algebra1) x (algebra2).

Parameters:

hypernumber - algebra1.

hypernumber - algebra2.

Throws:

java.lang.Exception

Method Detail

getBasis

public java.lang.String[] getBasis()

Specified by:

getBasis in class BinaryProductStructure

getMTab

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

Description copied from class: BinaryProductStructure

Multiplication table and basis *

Specified by:

getMTab in class BinaryProductStructure

getNumberOfGrades

public int getNumberOfGrades()
                      throws java.lang.Exception

Specified by:

getNumberOfGrades in class BinaryAlgebra

Throws:

java.lang.Exception

getMultTableAsHtml

public static java.lang.String getMultTableAsHtml()

getMultiplicationTable

public static MultiplicationTable getMultiplicationTable()

isCayleyDicksonAlgebra

public boolean isCayleyDicksonAlgebra()
                               throws java.lang.Exception

Specified by:

isCayleyDicksonAlgebra in class BinaryAlgebra

Throws:

java.lang.Exception