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Fractal derivativeFractalHausdorff dimensionHausdorff distanceHilbert spaceTangent spaceMeasure theoryFractal dimensionCalculus on euclidean spaceGeometric measure theoryJordan measureSectional curvatureQuadricEuclidean topologyRiesz transformNoncommutative geometryFunctional analysisCodimensionPseudo-euclidean spaceContentHypercomplex analysisContinuumCantor spaceFractional fourier transformLebesgue covering dimensionAlgebraic number fieldRiemannian geometryCoarea formulaAlgebraic number theoryPythagorean theoremFloer homologyFractional idealEuclidean domainHyperreal numberBirational geometryDifferential formIntegralGeometric topologyLength of a moduleIterated function systemDifferential geometry of surfacesHypercomplex numberManifoldArithmetic geometryHigher-dimensional algebraPolyconvexityMetrizable spaceStein manifoldHodge theoryHaar measureDivisorIntersection numberStone spaceMinkowski spaceAbstract harmonic analysisHyperbolic geometryCantor dustInversive geometryTangent coneSize theoryAffine spaceAlgebraic analysisAlgebraic geometryTopological propertyDensity on a manifoldHurewicz theoremCorrelation dimensionGeometric algebraSchwarz reflection principleHigh-dimensional statisticsSchauder fixed-point theoremHyperdeterminantConvex conjugateLebesgue measureRelative interiorLow-dimensional topologyMeasureHomotopical connectivityGrassmannianEhrhart polynomialNuclear spaceSymplectic geometryInteger latticeExponential mapDistortionHopf fibrationFractal cosmologyDifferential topologySesquilinear formTopological fieldHomological algebraSubderivativeSurface integralRiemann surfaceDarboux's theoremCompact convergenceDimensional analysisMensurationHolomorphic functionHodge star operator