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Multi-index notationEinstein notationIndex notationCartesian tensorMathematical notationCoordinate vectorMatrixRicci calculusTensorRepresentation theoryTensor decompositionLie algebra representationCategory theoryTensor calculusSet-builder notationSchmidt decompositionTensor algebraMatrix calculusTensor operatorCoordinate systemDyadicsMultidimensional arrayDe bruijn indexResolvent formalismTensor fieldSpin structureTensor reshapingCommutation matrixBijective numerationAlgebraic number theoryAdjoint representationMatrix splittingTensor product of modulesChange of basisFunctional analysisCoefficient matrixCartan decompositionProjectivizationIndex setTensor product of representationsNumeral systemIndex mappingSpecial linear lie algebraMatrix algebraComplex coordinate spaceEigendecomposition of a matrixRaising and lowering indicesSpectral theoryInner productArray data structureOutline of category theoryTensor contractionTensor product of hilbert spacesMatroidScientific notationReverse polish notationStructure constantsTensor productMultiplication tableAlgebraic data typeQuantum operationLie algebraMatrix decompositionMatrix analysisStructure tensorPartitionArray data typeMatrix ringMathematicsType theoryAbstract algebraCombinatorial speciesInteger latticeNatural transformationSymbolic dynamicsLevi-civita symbolSpin representationPartially ordered setGroup representationElectromagnetic tensorCategorificationOrthogonal basisAllegoryMetric tensorSchur decompositionPositional notationDenotational semanticsTransformationAlgebraic combinatoricsGeneralizations of pauli matricesCovariant transformationPolymorphismRotation matrixIsomorphism theoremsComplex numberMorphismCategorySingular value decompositionLambda calculusGlossary of mathematical symbols