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Boundary value problemFree boundary problemInitial value problemCauchy problemDiophantine equationRiemann problemPartial differential equationOrdinary differential equationIntegral curvePoisson kernelMatrix differential equationDirichlet's approximation theoremDirichlet boundary conditionLinear differential equationDirichlet energyDirichlet kernelCauchy boundary conditionDirichlet conditionsEigenvalue perturbationElliptic boundary value problemIntegro-differential equationHolomorphic functionDifferential equationParametric equationFeasible regionRicci flowExact differential equationEuclidean domainGeometric flowCauchy horizonInitial-value problemStefan problemCoarea formulaAlgebraic riccati equationDirichlet-multinomial distributionFredholm integral equationBiharmonic equationDirichlet functionCharacteristic equationIntegral equationInclusion functionTrust regionSmallest-circle problemRiccati equationBarrier functionSymbolic integrationBoundary conditionDirichlet convolutionPoint in polygonIntermediate value theoremDeterminantal point processQuasiconvex functionFrobenius methodBessel functionImplicit functionPartialExterior covariant derivativeParabolic cylinder functionPoisson summation formulaHypergeometric functionLagrange's identityFundamental solutionDarboux integralRiemannian geometryProbability density functionDifferentiable functionGauss circle problemEuler methodCollocation methodIntegralD'alembert's formulaParametrizationDomain decomposition methodsJensen's inequalityDomainOuter measureDensity on a manifoldSingular solutionHarmonic mapDiophantine geometryInteger programmingCentral differencing schemeSecond partial derivative testPartial derivativeDarboux's theoremSquare-integrable functionConstrained optimizationNewton fractalRadial functionOptimization problemMeasurable functionTranscendental equationConfluent hypergeometric functionMathieu functionPerturbation theoryFunctionalRational functionFunction of a real variableDerivative testIntegral transform