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Rotation numberAntiunitary operatorInterval exchange transformationRotation matrixIntegrable systemAlgebraic functionAutomorphismEndomorphismHorseshoe mapRotational invarianceDiffeomorphismDynamical systemRotationAlternating seriesMotionBaker's mapImplicit surfaceAlgebraic integerLinear fractional transformationInfinitesimal transformationDilationPower seriesInvariant manifoldOrbitHomotopy theoryPeriodic continued fractionGeometric transformationRiemann surfaceInteger matrixGivens rotationKoenigs functionIsometryDistribution functionMathematical objectPlane of rotationSymplectic matrixAlgebra homomorphismSurface of revolutionAngle of rotationConformal mapTopological k-theoryDerivative of the exponential mapStochastic geometryRandom dynamical systemReal-valued functionSymplectomorphismLyapunov timeCotangent complexDistortionAlgebraic equationAffine combinationPolylogarithmic functionCircular motionFunction spaceGolden ratio baseImaginary unitRoot systemPathTangent vectorIntegral curveInterpolation inequalityConformal geometryInvariant measureGaussian integerComplex dynamicsCube rootIntegral equationRotation of axesCurve orientationFredholm theoryInfinity symbolCancellation propertyCubic functionOrderFunctional calculusInverse elementDifferential operatorOscillation theorySystem of differential equationsRadius of curvatureDifferential equationAlgebraic fractionNonholonomic systemCubic equationMetric spacePerfect totient numberHyperbolic angleIntegro-differential equationHistory of quaternionsSpiralBiorthogonal systemDirichlet seriesRiemann sumHilbert manifoldInverse functionImageInverse semigroupDihedral groupCubic plane curveProjective geometry