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Eigenvalue perturbationDisplacement operatorMultidimensional transformPhase spaceModal analysis using femDistributionSpectral theoryEigendecomposition of a matrixMoving frameRepresentation theoryInvariant manifoldCausal structurePrincipal curvatureEquivariant mapTransfer matrixCoupled mode theoryQuantum operationCanonical coordinatesConfiguration spacePolarizationEuclidean vectorEquations of motionCodimensionSpinorSpatial frequencyEuler classDynamical systems theoryTensor fieldOrbitMechanical waveMultiple-scale analysisMatrix normMultiplication of vectorsPartial differential equationRotation matrixGeometric algebraMean shiftCovariant transformationParametric equationSpectrumMagnetizationTangent spaceExact differential equationEngineering mathematicsOrthogonal functionsPhase conjugationConvolutionSpin structureDifferential geometry of surfacesReflection coefficientGeneral covarianceEuclidean groupMatrix analysisHamiltonian vector fieldPosition and momentum spacesGeometric transformationScattering theoryGeometric topologyStructure tensorMetric tensorIsometryCartan decompositionTime dependent vector fieldRoot systemCoordinate systemGraph fourier transformTensor operatorOperatorReflection symmetryEuclidean topologyProjective geometryOrthotropic materialEuler's laws of motionDifferential geometrySpectral tripleStein manifoldParametrizationOsculating planeMatrixDirac equation in curved spacetimeCalculus on euclidean spaceModel-based designTransport phenomenaBiharmonic equationModal testingHolonomic basisSchmidt decompositionSymplectic geometryAdjoint representationMorse theoryModuli spaceGeneralized coordinatesCurve-shortening flowPerturbation theoryDifferential formElectric displacement fieldOutline of geometryConnection formOrdinary differential equationHodge theory