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Logarithmic meanBinary functionIntegro-differential equationSecond derivativePositive-definite functionNon-euclidean geometryChebyshev polynomialsDifferential equationDifferential operatorNon-analytic smooth functionEquivariant mapSplit-complex numberOrthonormalizationNormalized numberBinary quadratic formChebyshev functionMittag-leffler functionHankel functionLogarithmic sobolev inequalitiesLaplace distributionBisection methodFunction compositionInverse hyperbolic functionsFourier sine and cosine seriesOrthogonal functionsSine and cosine transformsOrdinary differential equationOrthogonalityInverse scattering transformPartial derivativeInequalityEquationDifference of two squaresIntegral equationGolden ratioQuotient ruleElliptic functionMultiple zeta functionSesquilinear formTrigamma functionDualityCurve orientationSolid harmonicsSign functionRational numberChain rulePower ruleSpherical harmonicsEven and odd functionsSemi-log plotNormNormal convergenceLogarithmic derivativeBeta functionLinear functionSuper-logarithmNormalizing constantConvex conjugateInverse elementSubharmonic functionLogarithmic normHarmonic functionSymmetric differenceLog-normal distributionHarmonic meanParabolic cylinder functionMultiple integralFrobenius inner productQuadratic formHyperbolic functionsKronecker deltaHilbert transformStructure tensorPosition and momentum spacesTangential and normal componentsBernoulli schemeTrigonometric substitutionSylvester matrixAlgebraic fractionComplex logarithmCanonical formSlopeStationary phase approximationPolar coordinate systemHeat equationRamanujan's sumNonlinear systemAnticommutative propertyLogit-normal distributionMean squareContraharmonic meanInverse function ruleDiscrete sine transformFeigenbaum constantsRing of setsDiscrete-time fourier transformFunctional calculusOrthogonalizationSine waveSign