import OAI.Geometry.IsometricImmersion.Darboux.Drift import OAI.Geometry.IsometricImmersion.Caps.EnergyCauchySchwarz import OAI.Geometry.IsometricImmersion.Immersions.FiniteHeight import OAI.Geometry.IsometricImmersion.Energy.FiniteProductL2 import OAI.Geometry.IsometricImmersion.Calculus.CoordinateDerivatives import OAI.Geometry.IsometricImmersion.Estimates.HighFactorOrders import OAI.Geometry.IsometricImmersion.Calculus.JointDerivative import OAI.Geometry.IsometricImmersion.Energy.MultiplierAbsorption import OAI.Geometry.IsometricImmersion.Immersions.NormalSpace import OAI.Geometry.IsometricImmersion.Flows.Existence import OAI.Geometry.IsometricImmersion.Immersions.RankOne2 import OAI.Geometry.IsometricImmersion.Energy.RectangleSobolevOne import OAI.Geometry.IsometricImmersion.Coordinates.ShearSpeedBounds import OAI.Geometry.IsometricImmersion.Calculus.SmoothCurry import OAI.Geometry.IsometricImmersion.Taylor.TimeTaylorKernel import OAI.Geometry.IsometricImmersion.Volterra.VolterraOperator import OAI.Geometry.IsometricImmersion.Metric import OAI.Geometry.IsometricImmersion.Darboux.DriftTransportAlgebra import OAI.Geometry.IsometricImmersion.Energy.FiniteSumL2 import OAI.Geometry.IsometricImmersion.Calculus.QuotientCalculus import OAI.Geometry.IsometricImmersion.Volterra.VolterraInverse import OAI.Geometry.IsometricImmersion.Immersions.ActualHeight import OAI.Geometry.IsometricImmersion.Curvature.CurvatureParameter import OAI.Geometry.IsometricImmersion.Darboux.DriftBounds import OAI.Geometry.IsometricImmersion.Immersions.InducedMetric import OAI.Geometry.IsometricImmersion.LocalDomains import OAI.Geometry.IsometricImmersion.Metrics.MetricSmoothness import OAI.Geometry.IsometricImmersion.Metrics.ModelProfile import OAI.Geometry.IsometricImmersion.Coordinates.OrientationNet import OAI.Geometry.IsometricImmersion.Metrics.SmoothMetricRestriction import OAI.Geometry.IsometricImmersion.Metrics.WarpedMetric import OAI.Geometry.IsometricImmersion.Coordinates.AffinePullback import OAI.Geometry.IsometricImmersion.Calculus.ExtremumHessian import OAI.Geometry.IsometricImmersion.Curvature.GaussConnection import OAI.Geometry.IsometricImmersion.Energy.HeightEnergy import OAI.Geometry.IsometricImmersion.Calculus.HessianCommutator import OAI.Geometry.IsometricImmersion.Calculus.NormedCoordinateCalculus import OAI.Geometry.IsometricImmersion.Immersions.RankOneOrientation import OAI.Geometry.IsometricImmersion.Volterra.VolterraDifferentiation import OAI.Geometry.IsometricImmersion.Pulses.ActualForcingCoefficient import OAI.Geometry.IsometricImmersion.Calculus.AffineHessian import OAI.Geometry.IsometricImmersion.Coordinates.AffinePushforward import OAI.Geometry.IsometricImmersion.Darboux.DarbouxJet import OAI.Geometry.IsometricImmersion.Curvature.GaussFormula import OAI.Geometry.IsometricImmersion.Metrics.MetricCompatibility import OAI.Geometry.IsometricImmersion.Metrics.MetricLocality import OAI.Geometry.IsometricImmersion.Volterra.VolterraParameterJets import OAI.Geometry.IsometricImmersion.Volterra.VolterraPositive import OAI.Geometry.IsometricImmersion.Energy.WeightedMultiplier import OAI.Geometry.IsometricImmersion.Darboux.ActualDriftCoefficients import OAI.Geometry.IsometricImmersion.Curvature.CurvatureParameterJets import OAI.Geometry.IsometricImmersion.Darboux.DarbouxEquation import OAI.Geometry.IsometricImmersion.Caps.EllipticCutoff import OAI.Geometry.IsometricImmersion.Curvature.GaussEquation import OAI.Geometry.IsometricImmersion.Immersions.HeightNorm import OAI.Geometry.IsometricImmersion.Curvature.IntrinsicCurvature import OAI.Geometry.IsometricImmersion.Calculus.MetricTwoJet import OAI.Geometry.IsometricImmersion.Energy.MultiplierDivergence import OAI.Geometry.IsometricImmersion.Immersions.NormalField import OAI.Geometry.IsometricImmersion.Coordinates.PatchGeometry import OAI.Geometry.IsometricImmersion.Calculus.QuotientLowRecurrence import OAI.Geometry.IsometricImmersion.Curvature.AffineConnection import OAI.Geometry.IsometricImmersion.Caps.EllipticCutoffEdge import OAI.Geometry.IsometricImmersion.Darboux.HeightEquation import OAI.Geometry.IsometricImmersion.Calculus.HessianTransport import OAI.Geometry.IsometricImmersion.Curvature.MetricCurvatureJet import OAI.Geometry.IsometricImmersion.Energy.MultiplierIntegral import OAI.Geometry.IsometricImmersion.Calculus.NormalDerivative import OAI.Geometry.IsometricImmersion.Calculus.QuotientLowBounds import OAI.Geometry.IsometricImmersion.Darboux.SixVariableDarboux import OAI.Geometry.IsometricImmersion.Darboux.TransverseCoefficient import OAI.Geometry.IsometricImmersion.Volterra.VolterraJointSmooth import OAI.Geometry.IsometricImmersion.Taylor.ActualDarbouxFaa import OAI.Geometry.IsometricImmersion.Darboux.ActualDriftEquation import OAI.Geometry.IsometricImmersion.Calculus.AffineCovariantHessian import OAI.Geometry.IsometricImmersion.Curvature.AffineCurvature import OAI.Geometry.IsometricImmersion.Immersions.BoundaryNormal import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetBounds import OAI.Geometry.IsometricImmersion.Darboux.CurvaturePrincipalPart import OAI.Geometry.IsometricImmersion.Caps.EllipticEnergy import OAI.Geometry.IsometricImmersion.Pulses.ForcingCoefficientSign import OAI.Geometry.IsometricImmersion.Calculus.HessianQuotientLowBounds import OAI.Geometry.IsometricImmersion.Energy.HyperbolicEnergyDensity import OAI.Geometry.IsometricImmersion.Curvature.NegativeCurvatureHeight import OAI.Geometry.IsometricImmersion.Energy.RectangleSobolev import OAI.Geometry.IsometricImmersion.Calculus.SmoothMetricJet import OAI.Geometry.IsometricImmersion.Calculus.StateJetSegment import OAI.Geometry.IsometricImmersion.Volterra.VolterraGlue import OAI.Geometry.IsometricImmersion.Energy.WeightPrimitive import OAI.Geometry.IsometricImmersion.Taylor.ChainTermDerivative import OAI.Geometry.IsometricImmersion.Immersions.CompactBoundaryExtremum import OAI.Geometry.IsometricImmersion.Coordinates.CoordinateFirstBounds import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetNorm import OAI.Geometry.IsometricImmersion.Coordinates.CoordinateSwap import OAI.Geometry.IsometricImmersion.Energy.DirectedBounds import OAI.Geometry.IsometricImmersion.Caps.EllipticAbsorption import OAI.Geometry.IsometricImmersion.Calculus.FinitePrimitive import OAI.Geometry.IsometricImmersion.Flows.FlowExistence import OAI.Geometry.IsometricImmersion.Obstructions.LocalAdmissibility import OAI.Geometry.IsometricImmersion.Calculus.MetricInverseJetBounds import OAI.Geometry.IsometricImmersion.Curvature.PrescribedCurvature import OAI.Geometry.IsometricImmersion.Energy.RegionSobolev import OAI.Geometry.IsometricImmersion.Coordinates.RoundDisk import OAI.Geometry.IsometricImmersion.Metrics.UniversalMetricP import OAI.Geometry.IsometricImmersion.Calculus.VerticalSliceJets import OAI.Geometry.IsometricImmersion.Assembly.AccumulatingDisks import OAI.Geometry.IsometricImmersion.Taylor.ChainResidual import OAI.Geometry.IsometricImmersion.Flows.CompactParameterIntegral import OAI.Geometry.IsometricImmersion.Energy.DirectedCoercivity import OAI.Geometry.IsometricImmersion.Energy.DirectedCutoffBalance import OAI.Geometry.IsometricImmersion.Obstructions.DiskBoundaryObstruction import OAI.Geometry.IsometricImmersion.Caps.EllipticC1 import OAI.Geometry.IsometricImmersion.Caps.EllipticRatio import OAI.Geometry.IsometricImmersion.Calculus.HessianJetBounds import OAI.Geometry.IsometricImmersion.Metrics.MetricPBundleBounds import OAI.Geometry.IsometricImmersion.Metrics.ModelMetric import OAI.Geometry.IsometricImmersion.Flows.PicardFamily import OAI.Geometry.IsometricImmersion.Darboux.SixVariableLinearization import OAI.Geometry.IsometricImmersion.Darboux.SwappedDarboux import OAI.Geometry.IsometricImmersion.Energy.WeightPrimitiveParameter import OAI.Geometry.IsometricImmersion.Caps.CapFlow import OAI.Geometry.IsometricImmersion.Curvature.CurvatureFirstBounds import OAI.Geometry.IsometricImmersion.Energy.DirectedIntegralEstimate import OAI.Geometry.IsometricImmersion.Curvature.DiskCurvatureProfiles import OAI.Geometry.IsometricImmersion.Caps.EllipticApplication import OAI.Geometry.IsometricImmersion.Coordinates.ExteriorAnnuli import OAI.Geometry.IsometricImmersion.Assembly.FlatPatchSum import OAI.Geometry.IsometricImmersion.Estimates.LargestBlockLinearization import OAI.Geometry.IsometricImmersion.Metrics.ModelCoercivity import OAI.Geometry.IsometricImmersion.Calculus.MovingIntervalCalculus import OAI.Geometry.IsometricImmersion.Darboux.SixVariableQ import OAI.Geometry.IsometricImmersion.Metrics.StateCoefficientTube import OAI.Geometry.IsometricImmersion.Assembly.SupportedPerturbations import OAI.Geometry.IsometricImmersion.Taylor.TopChainExtraction import OAI.Geometry.IsometricImmersion.Calculus.AffineTensorJetBounds import OAI.Geometry.IsometricImmersion.Assembly.DiagonalAmplitudes import OAI.Geometry.IsometricImmersion.Energy.DirectedEdgeDefect import OAI.Geometry.IsometricImmersion.Caps.EllipticGradient import OAI.Geometry.IsometricImmersion.Coordinates.ExteriorCenterNets import OAI.Geometry.IsometricImmersion.Flows.FlowParameter import OAI.Geometry.IsometricImmersion.Darboux.ModelPrincipal import OAI.Geometry.IsometricImmersion.Energy.MovingHyperbolicEnergy import OAI.Geometry.IsometricImmersion.Pulses.PulseProfiles import OAI.Geometry.IsometricImmersion.Darboux.QPrincipal import OAI.Geometry.IsometricImmersion.Assembly.SupportedMetricJets import OAI.Geometry.IsometricImmersion.Assembly.SupportedNeighborhoods import OAI.Geometry.IsometricImmersion.Assembly.SupportedSmoothComplete import OAI.Geometry.IsometricImmersion.Assembly.TensorSeriesLocality import OAI.Geometry.IsometricImmersion.Metrics.AffineTensorNeighborhood import OAI.Geometry.IsometricImmersion.Comparison.ClosureMetricApproximation import OAI.Geometry.IsometricImmersion.Assembly.DisjointTensorAssembly import OAI.Geometry.IsometricImmersion.Flows.FlowParameterContinuity import OAI.Geometry.IsometricImmersion.Metrics.MetricPatchOpen import OAI.Geometry.IsometricImmersion.Coordinates.OrientedCenterNets import OAI.Geometry.IsometricImmersion.Pulses.PulseCurvaturePrincipal import OAI.Geometry.IsometricImmersion.Pulses.PulseDerivativeBounds import OAI.Geometry.IsometricImmersion.Pulses.PulseMoment import OAI.Geometry.IsometricImmersion.Darboux.QSegmentDomain import OAI.Geometry.IsometricImmersion.Energy.SqrtEnergyGronwall import OAI.Geometry.IsometricImmersion.Immersions.ActualShearHeight import OAI.Geometry.IsometricImmersion.Coordinates.AffinePatchSquares import OAI.Geometry.IsometricImmersion.Curvature.CurvatureLowerTube import OAI.Geometry.IsometricImmersion.Pulses.FiniteOscillatoryMoment import OAI.Geometry.IsometricImmersion.Flows.FlowVariation import OAI.Geometry.IsometricImmersion.Energy.MovingEnergyPropagation import OAI.Geometry.IsometricImmersion.Pulses.PulseMomentGeometry import OAI.Geometry.IsometricImmersion.Pulses.PulseNeighborhood import OAI.Geometry.IsometricImmersion.Pulses.PulseSecondXi import OAI.Geometry.IsometricImmersion.Darboux.QCoefficientTube import OAI.Geometry.IsometricImmersion.Pulses.ActualForcingMoment import OAI.Geometry.IsometricImmersion.Coordinates.ActualShearHyperbolicity import OAI.Geometry.IsometricImmersion.Pulses.CutoffEdgeMoment import OAI.Geometry.IsometricImmersion.Flows.FlowJointSmooth import OAI.Geometry.IsometricImmersion.Energy.MovingSlabEnergy import OAI.Geometry.IsometricImmersion.Coordinates.OrientedPatchSquares import OAI.Geometry.IsometricImmersion.Pulses.PulseFirstJetControl import OAI.Geometry.IsometricImmersion.Pulses.PulseNeighborhoodAdapters import OAI.Geometry.IsometricImmersion.Darboux.QSegmentMargins import OAI.Geometry.IsometricImmersion.Flows.FlowBounds import OAI.Geometry.IsometricImmersion.Flows.FlowCurvature import OAI.Geometry.IsometricImmersion.Energy.MovingEnergyGradient import OAI.Geometry.IsometricImmersion.Obstructions.PatchAdmissibility import OAI.Geometry.IsometricImmersion.Curvature.PatchCurvatureProfiles import OAI.Geometry.IsometricImmersion.Comparison.PulseClosureApproximation import OAI.Geometry.IsometricImmersion.Pulses.PulseDensitySlab import OAI.Geometry.IsometricImmersion.Pulses.PulseMomentError import OAI.Geometry.IsometricImmersion.Darboux.QSegmentAveraging import OAI.Geometry.IsometricImmersion.Assembly.AssemblyProfiles import OAI.Geometry.IsometricImmersion.Calculus.ClosedSquareJetBounds import OAI.Geometry.IsometricImmersion.Comparison.CurvatureComparisonControl import OAI.Geometry.IsometricImmersion.Flows.FlowInverse import OAI.Geometry.IsometricImmersion.Flows.FlowSecondVariation import OAI.Geometry.IsometricImmersion.Flows.FlowTransport import OAI.Geometry.IsometricImmersion.Energy.MovingIntervalSobolev import OAI.Geometry.IsometricImmersion.Immersions.OrientedHeightPullback import OAI.Geometry.IsometricImmersion.Pulses.PulseTestEnergy import OAI.Geometry.IsometricImmersion.Caps.CapCutoffGeometry import OAI.Geometry.IsometricImmersion.Caps.CapFlowUniqueness import OAI.Geometry.IsometricImmersion.Comparison.CurvatureFullJetComparison import OAI.Geometry.IsometricImmersion.Assembly.EnumeratedPatchTensors import OAI.Geometry.IsometricImmersion.Flows.FlowChart import OAI.Geometry.IsometricImmersion.Flows.FlowHeightCoefficients import OAI.Geometry.IsometricImmersion.Flows.FlowThirdVariation import OAI.Geometry.IsometricImmersion.Curvature.InitialCurvature import OAI.Geometry.IsometricImmersion.Energy.MovingIntervalSourceL2 import OAI.Geometry.IsometricImmersion.Pulses.PulseActualDensity import OAI.Geometry.IsometricImmersion.Pulses.PulseSpatialParts import OAI.Geometry.IsometricImmersion.Obstructions.UniversalPatchSelection import OAI.Geometry.IsometricImmersion.Caps.CapEllipticOverlap import OAI.Geometry.IsometricImmersion.Caps.CapJacobian import OAI.Geometry.IsometricImmersion.Flows.ConstructedHeightFlow import OAI.Geometry.IsometricImmersion.Darboux.DriftOperatorIdentity import OAI.Geometry.IsometricImmersion.Flows.FlowTimeVariation import OAI.Geometry.IsometricImmersion.Immersions.HeightCoefficientRegularity import OAI.Geometry.IsometricImmersion.Assembly.InitialAssemblyMetric import OAI.Geometry.IsometricImmersion.Calculus.MovingFirstJetBase import OAI.Geometry.IsometricImmersion.Caps.OpenCapFlowUniqueness import OAI.Geometry.IsometricImmersion.Metrics.PatchTensorRestriction import OAI.Geometry.IsometricImmersion.Pulses.PulseDensityGlobal import OAI.Geometry.IsometricImmersion.Pulses.PulseTemporalParts import OAI.Geometry.IsometricImmersion.Darboux.QMetricDensityDecomposition import OAI.Geometry.IsometricImmersion.Caps.CapAreaFormula import OAI.Geometry.IsometricImmersion.Energy.DirectedFarNegative import OAI.Geometry.IsometricImmersion.Energy.DirectedFluxCost import OAI.Geometry.IsometricImmersion.Flows.FlowLowBounds import OAI.Geometry.IsometricImmersion.Energy.HeightEnergyJetBounds import OAI.Geometry.IsometricImmersion.Calculus.HorizontalJetCalculus import OAI.Geometry.IsometricImmersion.Coordinates.PatchAddressModel import OAI.Geometry.IsometricImmersion.Obstructions.PatchAdmissibilityRestriction import OAI.Geometry.IsometricImmersion.Flows.PatchFlowCoercivity import OAI.Geometry.IsometricImmersion.Metrics.PatchTensorPositivity import OAI.Geometry.IsometricImmersion.Darboux.QFirstJetFunctions import OAI.Geometry.IsometricImmersion.Calculus.SecondJetExtraction import OAI.Geometry.IsometricImmersion.Estimates.ActualHighEquation import OAI.Geometry.IsometricImmersion.Assembly.AssembledImmersionHeight import OAI.Geometry.IsometricImmersion.Caps.CapDensityBounds import OAI.Geometry.IsometricImmersion.Caps.CapFlowCoordinateJets import OAI.Geometry.IsometricImmersion.Caps.ConstructedCapArea import OAI.Geometry.IsometricImmersion.Energy.DirectedParameterChoice import OAI.Geometry.IsometricImmersion.Energy.DirectedWeightJetCost import OAI.Geometry.IsometricImmersion.Flows.FlowImageFirstBounds import OAI.Geometry.IsometricImmersion.Immersions.HeightPFirstBounds import OAI.Geometry.IsometricImmersion.Energy.PatchDirectedCoercivity import OAI.Geometry.IsometricImmersion.Comparison.QFirstJetComparison import OAI.Geometry.IsometricImmersion.Darboux.QSpatialJets import OAI.Geometry.IsometricImmersion.Darboux.ActualHighDrift import OAI.Geometry.IsometricImmersion.Caps.CapFlowJetBounds import OAI.Geometry.IsometricImmersion.Caps.CapGradientTransport import OAI.Geometry.IsometricImmersion.Energy.DirectedDefectCost import OAI.Geometry.IsometricImmersion.Flows.FlowImageMargin import OAI.Geometry.IsometricImmersion.Immersions.HeightCoefficientClosedBounds import OAI.Geometry.IsometricImmersion.Darboux.QMetricFirstErrorBound import OAI.Geometry.IsometricImmersion.Taylor.ScalarChainExpansion import OAI.Geometry.IsometricImmersion.Taylor.TaylorSeparatedProduct import OAI.Geometry.IsometricImmersion.Flows.ActualFlowHighEquation import OAI.Geometry.IsometricImmersion.Pulses.ActualQPulseForcing import OAI.Geometry.IsometricImmersion.Estimates.ActualRemainderFactors import OAI.Geometry.IsometricImmersion.Caps.CapOverlapCosts import OAI.Geometry.IsometricImmersion.Caps.CapReciprocalBounds import OAI.Geometry.IsometricImmersion.Caps.ConstructedCapGradient import OAI.Geometry.IsometricImmersion.Flows.FlowSobolev import OAI.Geometry.IsometricImmersion.Calculus.MixedCoordinateCalculus import OAI.Geometry.IsometricImmersion.Darboux.QHighEquation import OAI.Geometry.IsometricImmersion.Taylor.TaylorJetStability import OAI.Geometry.IsometricImmersion.Pulses.ActualQPulseForcingGlobal import OAI.Geometry.IsometricImmersion.Energy.ActualRemainderL2 import OAI.Geometry.IsometricImmersion.Estimates.ActualRemainderRegularity import OAI.Geometry.IsometricImmersion.Caps.CapCutoffRectangle import OAI.Geometry.IsometricImmersion.Calculus.CoordinateJetReverseNorm import OAI.Geometry.IsometricImmersion.Flows.HeightFlowBoundTools import OAI.Geometry.IsometricImmersion.Darboux.MixedDarbouxElimination import OAI.Geometry.IsometricImmersion.Darboux.QResidualFactors import OAI.Geometry.IsometricImmersion.Comparison.ShearFirstJetComparison import OAI.Geometry.IsometricImmersion.Taylor.TaylorResidual import OAI.Geometry.IsometricImmersion.Estimates.ActualQWeightedRemainder import OAI.Geometry.IsometricImmersion.Taylor.FiniteTaylorComparison import OAI.Geometry.IsometricImmersion.Flows.HeightFlowUniformBounds import OAI.Geometry.IsometricImmersion.Caps.IntegratedCapOverlap import OAI.Geometry.IsometricImmersion.Pulses.QPulseFirstJetBudget import OAI.Geometry.IsometricImmersion.Darboux.QResidualL2 import OAI.Geometry.IsometricImmersion.Metrics.RemainderCoefficientBounds import OAI.Geometry.IsometricImmersion.Calculus.ShearHeightJets import OAI.Geometry.IsometricImmersion.Taylor.TaylorQJetBounds import OAI.Geometry.IsometricImmersion.Estimates.ActualQMomentLower import OAI.Geometry.IsometricImmersion.Caps.CapInteriorEnergy import OAI.Geometry.IsometricImmersion.Metrics.FixedMetricRemainder import OAI.Geometry.IsometricImmersion.Darboux.HeightPrincipalBounds import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricPCoefficients import OAI.Geometry.IsometricImmersion.Estimates.MixedRemainderFactors import OAI.Geometry.IsometricImmersion.Darboux.QEnergyApplication import OAI.Geometry.IsometricImmersion.Comparison.QMetricApproximationInputs import OAI.Geometry.IsometricImmersion.Darboux.QResidualActive import OAI.Geometry.IsometricImmersion.Calculus.ShearMetricJets import OAI.Geometry.IsometricImmersion.Taylor.TaylorCoefficientBounds import OAI.Geometry.IsometricImmersion.Immersions.BoundedHeightClasses import OAI.Geometry.IsometricImmersion.Comparison.FiniteApproximationJets import OAI.Geometry.IsometricImmersion.Caps.HeightCapLowData import OAI.Geometry.IsometricImmersion.Energy.LocalizedRemainderL2 import OAI.Geometry.IsometricImmersion.Energy.MixedRemainderL2 import OAI.Geometry.IsometricImmersion.Darboux.QContainingRectangle import OAI.Geometry.IsometricImmersion.Darboux.QFirstJetEnergy import OAI.Geometry.IsometricImmersion.Darboux.QMomentAbsorption import OAI.Geometry.IsometricImmersion.Darboux.QSpatialRestriction import OAI.Geometry.IsometricImmersion.Calculus.ShearMetricFullJets import OAI.Geometry.IsometricImmersion.Taylor.TaylorPolynomialJetBounds import OAI.Geometry.IsometricImmersion.Metrics.ActualLowMetricBudget import OAI.Geometry.IsometricImmersion.Estimates.ActualQMomentPositive import OAI.Geometry.IsometricImmersion.Comparison.BoundedClassApproximation import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassHyperbolicity import OAI.Geometry.IsometricImmersion.Immersions.HeightNumericParameters import OAI.Geometry.IsometricImmersion.Energy.MixedDerivativeL2 import OAI.Geometry.IsometricImmersion.Obstructions.PatchObstructionSet import OAI.Geometry.IsometricImmersion.Darboux.QInitialEnergy import OAI.Geometry.IsometricImmersion.Darboux.QPositiveFloor import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorPolynomial import OAI.Geometry.IsometricImmersion.Metrics.UniversalMetricQ import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonSource import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassQFloor import OAI.Geometry.IsometricImmersion.Obstructions.BoundedClassTopology import OAI.Geometry.IsometricImmersion.Caps.CapL2Basics import OAI.Geometry.IsometricImmersion.Energy.FixedMetricMixedL2 import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricQFull import OAI.Geometry.IsometricImmersion.Metrics.MetricQSpatialBundle import OAI.Geometry.IsometricImmersion.Flows.UniformRichPatchFlow import OAI.Geometry.IsometricImmersion.Estimates.UniversalQRaw import OAI.Geometry.IsometricImmersion.Metrics.LocalMetricQActive import OAI.Geometry.IsometricImmersion.Metrics.MetricHorizontalRequests import OAI.Geometry.IsometricImmersion.Darboux.QMetricJetTransfer import OAI.Geometry.IsometricImmersion.Estimates.RemainderAreaBudget import OAI.Geometry.IsometricImmersion.Caps.UniformOriginalDataCapEstimate import OAI.Geometry.IsometricImmersion.Caps.C8ActualCapEstimate import OAI.Geometry.IsometricImmersion.Caps.NestedCapRectangles import OAI.Geometry.IsometricImmersion.Caps.PhysicalCapTransport import OAI.Geometry.IsometricImmersion.Darboux.QActualSegmentTransfer import OAI.Geometry.IsometricImmersion.Darboux.QFirstSpatialBounds import OAI.Geometry.IsometricImmersion.Caps.AllOrderCapEstimate import OAI.Geometry.IsometricImmersion.Caps.CapReflectionGeometry import OAI.Geometry.IsometricImmersion.Energy.LocalQResidualL2 import OAI.Geometry.IsometricImmersion.Darboux.QStripJetControl import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorDenominator import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonEquation import OAI.Geometry.IsometricImmersion.Caps.AllOrderPhysicalCap import OAI.Geometry.IsometricImmersion.Caps.CapReflectionCalculus import OAI.Geometry.IsometricImmersion.Darboux.QSameStripMargins import OAI.Geometry.IsometricImmersion.Darboux.QSpatialSlabData import OAI.Geometry.IsometricImmersion.Taylor.TaylorCauchyData import OAI.Geometry.IsometricImmersion.Taylor.TaylorRemainderBound import OAI.Geometry.IsometricImmersion.Caps.CapInductionData import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientSmooth import OAI.Geometry.IsometricImmersion.Caps.PulseReflection import OAI.Geometry.IsometricImmersion.Pulses.PulseTemporalMoment import OAI.Geometry.IsometricImmersion.Darboux.QClosedStripMargins import OAI.Geometry.IsometricImmersion.Darboux.QLowActualBounds import OAI.Geometry.IsometricImmersion.Pulses.QReferenceForcingMargins import OAI.Geometry.IsometricImmersion.Darboux.QReferenceInitialTolerance import OAI.Geometry.IsometricImmersion.Darboux.QSpatialInductionStep import OAI.Geometry.IsometricImmersion.Taylor.TaylorInitialStateBound import OAI.Geometry.IsometricImmersion.Taylor.TaylorInitialVelocity import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorStrip import OAI.Geometry.IsometricImmersion.Estimates.BoundedClassQLow import OAI.Geometry.IsometricImmersion.Caps.BoundedClassReflection import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientDerivative import OAI.Geometry.IsometricImmersion.Caps.LowerCapInduction import OAI.Geometry.IsometricImmersion.Pulses.PulseOperatorMoment import OAI.Geometry.IsometricImmersion.Darboux.QSpatialFiniteInduction import OAI.Geometry.IsometricImmersion.Taylor.UniformTaylorPulse import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonTestCost import OAI.Geometry.IsometricImmersion.Caps.BoundedClassCapData import OAI.Geometry.IsometricImmersion.Comparison.ComparisonCoefficientBounds import OAI.Geometry.IsometricImmersion.Caps.FixedMetricLowerCap import OAI.Geometry.IsometricImmersion.Pulses.PulseScalarContradiction import OAI.Geometry.IsometricImmersion.Darboux.QSpatialPointwise import OAI.Geometry.IsometricImmersion.Caps.VaryingCapInduction import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonEnergy import OAI.Geometry.IsometricImmersion.Caps.FiniteCapInduction import OAI.Geometry.IsometricImmersion.Pulses.PulseFlowDistance import OAI.Geometry.IsometricImmersion.Darboux.QFiniteActual import OAI.Geometry.IsometricImmersion.Caps.UpperCapWords import OAI.Geometry.IsometricImmersion.Caps.VaryingMetricLowerCap import OAI.Geometry.IsometricImmersion.Coordinates.BoundedClassSlabSmallness import OAI.Geometry.IsometricImmersion.Caps.CauchyReflection import OAI.Geometry.IsometricImmersion.Caps.FiniteCapPointwise import OAI.Geometry.IsometricImmersion.Estimates.MovingSourceBounds import OAI.Geometry.IsometricImmersion.Caps.PulseCapSeparation import OAI.Geometry.IsometricImmersion.Caps.QPointwiseCauchyJets import OAI.Geometry.IsometricImmersion.Flows.VaryingMetricChosenFlow import OAI.Geometry.IsometricImmersion.Caps.ActualPulseCapSeparation import OAI.Geometry.IsometricImmersion.Caps.BoundedClassCapRadius import OAI.Geometry.IsometricImmersion.Comparison.ComparisonGradientSlice import OAI.Geometry.IsometricImmersion.Comparison.ComparisonSourceBounds import OAI.Geometry.IsometricImmersion.Flows.FiniteMetricChosenFlow import OAI.Geometry.IsometricImmersion.Pulses.ShearedPulseRegions import OAI.Geometry.IsometricImmersion.Caps.UpperCapMetricJets import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonGradient import OAI.Geometry.IsometricImmersion.Caps.ActualLowerCutImage import OAI.Geometry.IsometricImmersion.Coordinates.BoundedPatchSlabGeometry import OAI.Geometry.IsometricImmersion.Comparison.ComparisonEnergyScaling import OAI.Geometry.IsometricImmersion.Calculus.FiniteUpperMetricJets import OAI.Geometry.IsometricImmersion.Pulses.OffPulseMetricBounds import OAI.Geometry.IsometricImmersion.Caps.VaryingMetricUpperCap import OAI.Geometry.IsometricImmersion.Coordinates.ActualPatchQRectangle import OAI.Geometry.IsometricImmersion.Pulses.ActualTwoSidedPulseSeparation import OAI.Geometry.IsometricImmersion.Calculus.BoundedClassInitialJet import OAI.Geometry.IsometricImmersion.Comparison.ComparisonPulseGeometry import OAI.Geometry.IsometricImmersion.Pulses.PulseEdgeReferenceDistance import OAI.Geometry.IsometricImmersion.Caps.ReflectedActualCapFlow import OAI.Geometry.IsometricImmersion.Calculus.ShearedMetricFiniteJets import OAI.Geometry.IsometricImmersion.Coordinates.ActualCentralShearMargins import OAI.Geometry.IsometricImmersion.Caps.ActualFiniteCapMetricBounds import OAI.Geometry.IsometricImmersion.Metrics.ActualLowMetricFloor import OAI.Geometry.IsometricImmersion.Pulses.ActualPulseMetricCloseness import OAI.Geometry.IsometricImmersion.Estimates.ActualQCompactBounds import OAI.Geometry.IsometricImmersion.Caps.BoundedPatchCauchy import OAI.Geometry.IsometricImmersion.Comparison.QApproximationMargins import OAI.Geometry.IsometricImmersion.Pulses.ReferencePulseEdgeInitial import OAI.Geometry.IsometricImmersion.Caps.ActualFiniteLowerCutBounds import OAI.Geometry.IsometricImmersion.Metrics.ActualTestMetricPositive import OAI.Geometry.IsometricImmersion.Coordinates.ActualFiniteShearedCutBounds import OAI.Geometry.IsometricImmersion.Estimates.ActualQPointBounds import OAI.Geometry.IsometricImmersion.Caps.ActualOffPulseCauchy import OAI.Geometry.IsometricImmersion.Estimates.FixedRadiusCutBounds import OAI.Geometry.IsometricImmersion.Taylor.ActualUniformTaylorPulse import OAI.Geometry.IsometricImmersion.Caps.FixedRadiusOffPulseCauchy import OAI.Geometry.IsometricImmersion.Taylor.ActualTaylorFiniteJets import OAI.Geometry.IsometricImmersion.Taylor.ActualUniformTaylorRich import OAI.Geometry.IsometricImmersion.Caps.ActualUpperOffPulseCauchy import OAI.Geometry.IsometricImmersion.Caps.ActualClassTwoSidedCauchy import OAI.Geometry.IsometricImmersion.Coordinates.ActualReferenceSegment import OAI.Geometry.IsometricImmersion.Taylor.TaylorUpperCauchyBounds import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonGradient import OAI.Geometry.IsometricImmersion.Comparison.ActualComparisonCoefficientData import OAI.Geometry.IsometricImmersion.Estimates.ActualQApplicability import OAI.Geometry.IsometricImmersion.Comparison.ComparisonUpperVelocity import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonSourceBound import OAI.Geometry.IsometricImmersion.Pulses.ActualClassQForcingMoment import OAI.Geometry.IsometricImmersion.Comparison.ActualUniformComparisonGradient import OAI.Geometry.IsometricImmersion.Comparison.ActualClassComparisonMoment import OAI.Geometry.IsometricImmersion.Comparison.OriginalClassComparisonWithLow import OAI.Geometry.IsometricImmersion.Pulses.OriginalPulseExclusion import OAI.Geometry.IsometricImmersion.Obstructions.BoundedClassNowhereDense import OAI.Geometry.IsometricImmersion.Obstructions.PatchResidualTheorem import OAI.Geometry.IsometricImmersion.Obstructions.SmallPatchObstruction import OAI.Geometry.IsometricImmersion.Assembly.SelectedPatchObstructions import OAI.Geometry.IsometricImmersion.Assembly.FinalMetric import OAI.Geometry.IsometricImmersion.CoordinateMain import OAI.Geometry.IsometricImmersion.Main