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Truncation errorAnomalous cancellationApproximation theoryCatastrophe theoryRound-off errorAbsolute errorForecast errorRounding errorNumerical analysisApproximation errorExtraneous and missing solutionsStiff equationCondition numberBias of an estimatorRunge's phenomenonPerturbation theoryChaos theoryStructural breakNumerical errorErrors and residualsBifurcation theoryDouble countingDifference of two squaresNegative relationshipSaddle-node bifurcationCauchy-schwarz inequalityIncomplete cholesky factorizationLogarithmic meanExtrapolationHoeffding's inequalityQuasi-monte carlo methodRoth's theoremOverfittingStochastic differential equationCountertermDivergent seriesAnticorrelationArithmetic underflowCombinatorial explosionSummation by partsInterpolationTotal variation diminishingFalse positive rateCancellationMathematical coincidenceChernoff boundDeficient numberSubadditivityAdditive inverseQuantum anomalyButterfly effectSingular perturbationSubnormal numberMidpoint methodSampling errorDelta methodRegression dilutionAlternating series testAbsolute deviationFinite difference methodCrisisNew mathReductio ad absurdumP-valueMonte carlo algorithmTotal derivativePrime number theoremInverse function ruleCatalecticantDistance correlationMulticollinearityEssential singularityAccuracy paradoxInverse quadratic interpolationTriangle inequalityReciprocalProof by contradictionAnnihilator methodFinite difference coefficientMultiple-scale analysisRate of convergenceInteger overflowSingularityBreakdown pointImproper integralRelative errorNon-negative least squaresOrder of accuracySensitivity analysisProof by exampleMonotonicityChaosCouplingPropagation of uncertaintyFinite differenceImplicit functionAlgebraic combinatoricsDecouplingBorel summationAnalytic number theory