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Euler's theoremLagrange's identityLagrangian functionBeta functionHelmholtz equationEuler classLaplace-beltrami operatorEuler's formulaDarboux's theoremMathieu functionIntegral curveLiouville field theoryBernoulli differential equationD'alembert's equationErnst equationLaplace's equationCritical functionOscillation theoryBiharmonic equationLagrange inversion theoremHellinger integralEuler's identityLemniscate of bernoulliPentagonal number theoremRicci flowLagrange's equationsDirac equation in curved spacetimeRiemann sphereRelativistic lagrangian mechanicsPartial differential equationIntegro-differential equationEuler's continued fraction formulaElliptic integralEuler lineParabolic cylinder functionElliptic boundary value problemCauchy's integral formulaIntegration using euler's formulaEuler methodMontgomery curveLegendre transformationFrobenius methodBoundary value problemLiouville functionL-stabilityFloquet theoryLorenz systemOrdinary differential equationDifferential equationEinstein tensorCalculus of variationsLaplace-de rham operatorFenchel's duality theoremPicard-lindelöf theoremEuler's criterionMaclaurin's inequalityMatrix differential equationFredholm integral equationBessel functionSemi-implicit euler methodFredholm alternativeIntegral equationGaussian integralGeometric flowBounded inverse theoremLaguerre polynomialKoenigs functionNeumann boundary conditionBloch's theoremSine-gordon equationGauge theoryGauss-bonnet theoremLipschitz continuityDynamical systems theoryExponential mapLerch zeta functionExact differential equationAlgebraic riccati equationSchubert calculusInvariant manifoldDarboux integralPythagorean trigonometric identityRiccati equationLaplace operatorDiophantine geometrySimons' formulaCoulomb wave functionLeibniz integral ruleRamanujan's master theoremAbel equation of the first kindCartan decompositionBerezin integralRiemann xi functionHarmonic functionLiouville's equationParseval's identityConvex conjugateLax pairSpecial values of l-functionsGeometric calculus