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Transcendental equationProof of impossibilityTranscendental functionAbuse of notationTranscendental numberSingular solutionEigenvalue perturbationSingular perturbationImplicit functionDivergent seriesAnomalous cancellationConfounding variableSystem of equationsPseudoprimeNonlinear systemMatrix differential equationExtrapolationStiff equationPerturbation theoryProof by exampleOscillation theoryExtraneous variableSingularityOrdinary differential equationDiophantine equationStochastic differential equationMathematical problemCharacteristic equationQuadratic surdConstructive proofProof by contradictionNew mathIrreducible polynomialBoundary value problemFormal power seriesNuisance parameterRound-off errorAnsatzIrreducible elementNonlinear programmingAbsolute errorGeneralizationTransfinite numberFunction problemDegeneracyCorner solutionApplied mathematicsImaginary unitExperimental mathematicsPartialIntegral curveUnintended consequencesCountertermExplicit symmetry breakingCollocation methodIntegro-differential equationPseudomathematicsOuter measureExogenous and endogenous variablesRandom dynamical systemImproper integralApproximation theoryLinear differential equationInitial value problemOptimization problemFrobenius methodNon-negative least squaresAxiom schemePseudoreplicationTruncation errorPartial differential equationMultifractal systemSpurious relationshipTranscendental number theoryWeird numberPrimitive notionQuantum anomalyRounding errorParametrixOpen problemGeneralized inverseEquilibrium pointIncomplete cholesky factorizationParameter identification problemProbabilistic methodExact differential equationAdaptive estimatorForcing functionCatastrophic cancellationParametrizationDifferential equationNumerov's methodSubsequenceEquationLatent variableAnomalyNon-terminal symbolAnnihilator methodExponential functionComputational problem