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Canonical transformationFractional fourier transformAction-angle coordinatesHamiltonian field theoryHamiltonian vector fieldRotation matrixSymplectic integratorHamiltonianLinear systemLinear approximationOrthogonalityCotangent complexPath integral formulationGenerating functionContinuous linear operatorOperator theoryNonlinear algebraHilbert transformProjectionRiesz transformHamiltonian systemHomological algebraMatrix analysisTrigonometric integralTransformation matrixMultilinear mapLinear fractional transformationPartial traceCanonical coordinatesElliptic operatorEigendecomposition of a matrixGeneralizations of pauli matricesLiouville's equationLorentz transformationHartley transformQuantum fourier transformRepresentation of a lie groupLinear continuumRelativistic lagrangian mechanicsOrthogonal transformationMultilinear formFrameTime dependent vector fieldFunctional calculusGeometric transformationLinear algebraic groupLinear dynamical systemInverse scattering transformTranspose of a linear mapTensor product of modulesMultilinear algebraCanonical commutation relationLiouville field theoryDirac bracketCausal structureSingular integralSystem of linear equationsLinear differential equationGeneral covariancePoisson bracketAffine groupDerivationHofstadter sequenceBackward differentiation formulaGeometric calculusCellular homologyJacobian matrix and determinantConvex conjugateHomotopy analysis methodSubderivativeCartan decompositionPolarization identityInvariant manifoldLinear relationCompressionAssociated legendre polynomialsMatrix calculusAlgebra homomorphismCoefficient matrixBiconjugate gradient methodExponential mapAngular momentum operatorConformal field theoryLinear mapEuler's laws of motionHilbert matrixTrace inequalityCalculus on euclidean spaceDirac equation in curved spacetimeHadamard transformHamiltonian matrixLinearizationConnectorIntegration using euler's formulaRicci flowInterval exchange transformationAlgebra over a fieldMapping class groupF-algebraMatrix decomposition