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Datasets:
roseking
/
openAI-math-dataset

Languages:
English
Chinese
Size:
100K<n<1M
Tags:
mathematics
mirror
lean
formal-proofs
License:
Dataset card Files
xet
 Community
openAI-math-dataset
File size: 26,721 Bytes
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import OAI.Probability.FreeIsing.Brownian.ArbitraryHorizon
import OAI.Probability.FreeIsing.Brownian.ArrayLaw
import OAI.Probability.FreeIsing.Brownian.ArrayObservation
import OAI.Probability.FreeIsing.Brownian.CoefficientApproximationIdentification
import OAI.Probability.FreeIsing.Brownian.ContinuousAssociativity
import OAI.Probability.FreeIsing.Brownian.ContinuousCompensator
import OAI.Probability.FreeIsing.Brownian.ContinuousCross
import OAI.Probability.FreeIsing.Brownian.ContinuousIntegral
import OAI.Probability.FreeIsing.Brownian.ContinuousRowCompletion
import OAI.Probability.FreeIsing.Brownian.ContinuousSpatialIntegral
import OAI.Probability.FreeIsing.Brownian.DriftMoments
import OAI.Probability.FreeIsing.Brownian.EntropyEnergy
import OAI.Probability.FreeIsing.Brownian.FiltrationIntegral
import OAI.Probability.FreeIsing.Brownian.FiltrationSquare
import OAI.Probability.FreeIsing.Brownian.GlobalCompensator
import OAI.Probability.FreeIsing.Brownian.Information
import OAI.Probability.FreeIsing.Brownian.IntegralProperties
import OAI.Probability.FreeIsing.Brownian.MeanSquareDescent
import OAI.Probability.FreeIsing.Brownian.MeanSquarePullback
import OAI.Probability.FreeIsing.Brownian.Observation
import OAI.Probability.FreeIsing.Brownian.PosteriorField
import OAI.Probability.FreeIsing.Brownian.PosteriorMoments
import OAI.Probability.FreeIsing.Brownian.RationalHorizon
import OAI.Probability.FreeIsing.Brownian.ResponseTransport
import OAI.Probability.FreeIsing.Brownian.RowComparisonConstruction
import OAI.Probability.FreeIsing.Brownian.RowEnergyCompletion
import OAI.Probability.FreeIsing.Brownian.SimpleIntegral
import OAI.Probability.FreeIsing.Brownian.SpatialAssociativity
import OAI.Probability.FreeIsing.Brownian.SpatialCompensator
import OAI.Probability.FreeIsing.Brownian.SpatialIntegral
import OAI.Probability.FreeIsing.Brownian.SpatialPrimitive
import OAI.Probability.FreeIsing.Brownian.SpinRecovery
import OAI.Probability.FreeIsing.Brownian.UniformErrorContinuity
import OAI.Probability.FreeIsing.Brownian.UniformIntegral
import OAI.Probability.FreeIsing.Brownian.UniformIsometry
import OAI.Probability.FreeIsing.Brownian.UniformSumCongruence
import OAI.Probability.FreeIsing.Cavity.ArraySmallLogLoss
import OAI.Probability.FreeIsing.Cavity.FieldL2Limit
import OAI.Probability.FreeIsing.Cavity.Homeomorph
import OAI.Probability.FreeIsing.Cavity.MomentTail
import OAI.Probability.FreeIsing.Conditioning.Characteristic
import OAI.Probability.FreeIsing.Conditioning.ComponentConditionalRecursionInputs
import OAI.Probability.FreeIsing.Conditioning.ContinuousCopyImmersion
import OAI.Probability.FreeIsing.Conditioning.ContinuousCopyIndependence
import OAI.Probability.FreeIsing.Conditioning.Copies
import OAI.Probability.FreeIsing.Conditioning.CopyCompensatedSquare
import OAI.Probability.FreeIsing.Conditioning.CopyImmersion
import OAI.Probability.FreeIsing.Conditioning.CopyRowConstruction
import OAI.Probability.FreeIsing.Conditioning.CopyVariance
import OAI.Probability.FreeIsing.Conditioning.FactorRecovery
import OAI.Probability.FreeIsing.Conditioning.FiniteEntropySmallTime
import OAI.Probability.FreeIsing.Conditioning.GaussianVector
import OAI.Probability.FreeIsing.Conditioning.KernelConditionalExpectation
import OAI.Probability.FreeIsing.Conditioning.KernelExtensionConditionalExpectation
import OAI.Probability.FreeIsing.Conditioning.Naturality
import OAI.Probability.FreeIsing.Conditioning.NoisyBranchConditionalLaw
import OAI.Probability.FreeIsing.Conditioning.SelectedFieldConditionedMoments
import OAI.Probability.FreeIsing.Conditioning.SelectedPosteriorEvenConditioning
import OAI.Probability.FreeIsing.Conditioning.StatisticLoss
import OAI.Probability.FreeIsing.Conditioning.StrictPosteriorInformation
import OAI.Probability.FreeIsing.Critical.CanonicalResponse
import OAI.Probability.FreeIsing.Critical.CanonicalRowEnergy
import OAI.Probability.FreeIsing.Critical.Comparison
import OAI.Probability.FreeIsing.Critical.Endgame
import OAI.Probability.FreeIsing.Critical.GlobalEndgame
import OAI.Probability.FreeIsing.Critical.NoisePathConstants
import OAI.Probability.FreeIsing.Critical.NormalizedEnergy
import OAI.Probability.FreeIsing.Critical.Reduction
import OAI.Probability.FreeIsing.Critical.ResponseIntrinsic
import OAI.Probability.FreeIsing.Critical.ResponseTimeEnergy
import OAI.Probability.FreeIsing.Energy.ActualCriticalFieldMoments
import OAI.Probability.FreeIsing.Energy.ArtanhResponseCoefficients
import OAI.Probability.FreeIsing.Energy.AttenuationMoments
import OAI.Probability.FreeIsing.Energy.AttenuationProduct
import OAI.Probability.FreeIsing.Energy.CoupledAttenuation
import OAI.Probability.FreeIsing.Energy.DiscrepancyRowEnergy
import OAI.Probability.FreeIsing.Energy.EnergyRiemannApproximation
import OAI.Probability.FreeIsing.Energy.FiniteIsingEnergyLimit
import OAI.Probability.FreeIsing.Energy.MixedCrossEnergyRiemann
import OAI.Probability.FreeIsing.Energy.NNRealBoundedDriftEnergy
import OAI.Probability.FreeIsing.Energy.NormalizedCriticalInitialEnergy
import OAI.Probability.FreeIsing.Energy.NormalizedResponseEnergy
import OAI.Probability.FreeIsing.Energy.OptionResponseReindex
import OAI.Probability.FreeIsing.Energy.OrderedAttenuation
import OAI.Probability.FreeIsing.Energy.ProgressiveIsingCovariance
import OAI.Probability.FreeIsing.Energy.RowEnergyConvergence
import OAI.Probability.FreeIsing.Energy.RowEnergyL1
import OAI.Probability.FreeIsing.Energy.SelectedCriticalFieldMoments
import OAI.Probability.FreeIsing.Energy.SubcriticalResponseComparison
import OAI.Probability.FreeIsing.Energy.TimeRowEnergyHasSum
import OAI.Probability.FreeIsing.Energy.UniformResponseMoments
import OAI.Probability.FreeIsing.Estimates.AEModification
import OAI.Probability.FreeIsing.Estimates.AbsoluteContinuity
import OAI.Probability.FreeIsing.Estimates.ArrayInnovationProjection
import OAI.Probability.FreeIsing.Estimates.CenteredLocalDensity
import OAI.Probability.FreeIsing.Estimates.ClippedArtanhWeight
import OAI.Probability.FreeIsing.Estimates.CoefficientTerminalCompletion
import OAI.Probability.FreeIsing.Estimates.CompensatedSquareLimit
import OAI.Probability.FreeIsing.Estimates.ComponentFieldConsequences
import OAI.Probability.FreeIsing.Estimates.ComponentFieldRecursion
import OAI.Probability.FreeIsing.Estimates.ConstructedArtanhFormula
import OAI.Probability.FreeIsing.Estimates.ContinuousHorizonGluing
import OAI.Probability.FreeIsing.Estimates.ContinuousModification
import OAI.Probability.FreeIsing.Estimates.CountableProjective
import OAI.Probability.FreeIsing.Estimates.CoupledCriticalComparison
import OAI.Probability.FreeIsing.Estimates.CylinderBasics
import OAI.Probability.FreeIsing.Estimates.DiscrepancyDensityModification
import OAI.Probability.FreeIsing.Estimates.EndpointScale
import OAI.Probability.FreeIsing.Estimates.FilteredFutureIndependence
import OAI.Probability.FreeIsing.Estimates.FiniteCoordinateApproximation
import OAI.Probability.FreeIsing.Estimates.FiniteCoordinateRepresentation
import OAI.Probability.FreeIsing.Estimates.FiniteIsingCompensatedSquare
import OAI.Probability.FreeIsing.Estimates.FiniteIsingInnovation
import OAI.Probability.FreeIsing.Estimates.FiniteMarginals
import OAI.Probability.FreeIsing.Estimates.FreeIsingMeasure
import OAI.Probability.FreeIsing.Estimates.FreeLawSymmetry
import OAI.Probability.FreeIsing.Estimates.FreeLawUnique
import OAI.Probability.FreeIsing.Estimates.IndependentLabelSampler
import OAI.Probability.FreeIsing.Estimates.InfinitePiPair
import OAI.Probability.FreeIsing.Estimates.InnovationCharacteristic
import OAI.Probability.FreeIsing.Estimates.IntegrableTimePrimitive
import OAI.Probability.FreeIsing.Estimates.KernelCompatibility
import OAI.Probability.FreeIsing.Estimates.LawUniqueness
import OAI.Probability.FreeIsing.Estimates.LeafDeletion
import OAI.Probability.FreeIsing.Estimates.LocalCorrelation
import OAI.Probability.FreeIsing.Estimates.LocalizedArtanhFormula
import OAI.Probability.FreeIsing.Estimates.LogInterpolation
import OAI.Probability.FreeIsing.Estimates.NNRealArtanhFormula
import OAI.Probability.FreeIsing.Estimates.NonnegativeSeriesL1
import OAI.Probability.FreeIsing.Estimates.NormalizedCriticalRowConvergence
import OAI.Probability.FreeIsing.Estimates.NormalizedPositiveWindowRow
import OAI.Probability.FreeIsing.Estimates.NormalizedSubcriticalRowConvergence
import OAI.Probability.FreeIsing.Estimates.NormalizedThresholdRowConvergence
import OAI.Probability.FreeIsing.Estimates.OsgoodIntegration
import OAI.Probability.FreeIsing.Estimates.ProgressiveTimePrimitive
import OAI.Probability.FreeIsing.Estimates.ProgressiveVersionPushforward
import OAI.Probability.FreeIsing.Estimates.RadialSummability
import OAI.Probability.FreeIsing.Estimates.RandomIndexSampling
import OAI.Probability.FreeIsing.Estimates.RelabelMeasure
import OAI.Probability.FreeIsing.Estimates.SupercriticalProfile
import OAI.Probability.FreeIsing.Estimates.ThresholdArithmetic
import OAI.Probability.FreeIsing.Estimates.UniformSampler
import OAI.Probability.FreeIsing.Estimates.WeightedOrbitAverage
import OAI.Probability.FreeIsing.Factors.ContinuousRecovery
import OAI.Probability.FreeIsing.Factors.CoordinateNaturality
import OAI.Probability.FreeIsing.Factors.DiagonalRecovery
import OAI.Probability.FreeIsing.Factors.Necessity
import OAI.Probability.FreeIsing.Factors.Observable
import OAI.Probability.FreeIsing.Factors.ObservableFactorRecovery
import OAI.Probability.FreeIsing.Factors.ObservableWord
import OAI.Probability.FreeIsing.Factors.Product
import OAI.Probability.FreeIsing.Factors.SubcriticalFactor
import OAI.Probability.FreeIsing.Factors.Transfer
import OAI.Probability.FreeIsing.Factors.Transport
import OAI.Probability.FreeIsing.Factors.ZeroFactor
import OAI.Probability.FreeIsing.Gaussian.ArrayCharacterization
import OAI.Probability.FreeIsing.Gaussian.BernoulliCopyDifference
import OAI.Probability.FreeIsing.Gaussian.BernoulliSpectral
import OAI.Probability.FreeIsing.Gaussian.BinaryFusion
import OAI.Probability.FreeIsing.Gaussian.BinaryFusionPosterior
import OAI.Probability.FreeIsing.Gaussian.BinarySignalDensity
import OAI.Probability.FreeIsing.Gaussian.BinarySignalFusion
import OAI.Probability.FreeIsing.Gaussian.ConditionalNoise
import OAI.Probability.FreeIsing.Gaussian.CutChannels
import OAI.Probability.FreeIsing.Gaussian.FiniteIsingGaussianEnergy
import OAI.Probability.FreeIsing.Gaussian.InwardCutConcentration
import OAI.Probability.FreeIsing.Gaussian.InwardGaussianCutChannels
import OAI.Probability.FreeIsing.Gaussian.InwardGaussianCutMean
import OAI.Probability.FreeIsing.Gaussian.InwardProducts
import OAI.Probability.FreeIsing.Gaussian.MarkovSideSignalLoss
import OAI.Probability.FreeIsing.Gaussian.NoiseTransfer
import OAI.Probability.FreeIsing.Gaussian.Observation
import OAI.Probability.FreeIsing.Gaussian.ObservationDerivative
import OAI.Probability.FreeIsing.Gaussian.PathAttenuation
import OAI.Probability.FreeIsing.Gaussian.PosteriorBareResponse
import OAI.Probability.FreeIsing.Gaussian.RerootedFreeLawNoise
import OAI.Probability.FreeIsing.Gaussian.SiteInformation
import OAI.Probability.FreeIsing.Gaussian.TreeResponseNaturality
import OAI.Probability.FreeIsing.Gaussian.TreeResponsePlanted
import OAI.Probability.FreeIsing.Gaussian.TreeResponsePosterior
import OAI.Probability.FreeIsing.Gaussian.TreeResponseRootPosterior
import OAI.Probability.FreeIsing.Gibbs.CompensatedSquare
import OAI.Probability.FreeIsing.Gibbs.CovarianceCompensator
import OAI.Probability.FreeIsing.Gibbs.CovarianceCompensatorPaths
import OAI.Probability.FreeIsing.Gibbs.CovarianceCriticalEnergy
import OAI.Probability.FreeIsing.Gibbs.CovarianceCriticalRowConvergence
import OAI.Probability.FreeIsing.Gibbs.CovarianceL2Limit
import OAI.Probability.FreeIsing.Gibbs.CovarianceNativeRowCauchy
import OAI.Probability.FreeIsing.Gibbs.CovarianceRowCauchy
import OAI.Probability.FreeIsing.Gibbs.CovarianceStrictConvergence
import OAI.Probability.FreeIsing.Gibbs.CovarianceUniformEnergy
import OAI.Probability.FreeIsing.Gibbs.CovarianceWindowEnergy
import OAI.Probability.FreeIsing.Gibbs.CovarianceZero
import OAI.Probability.FreeIsing.Gibbs.SpinMeanL2Limit
import OAI.Probability.FreeIsing.Ising.ActualVarianceAnalysis
import OAI.Probability.FreeIsing.Ising.ArtanhConstruction
import OAI.Probability.FreeIsing.Ising.CanonicalArtanh
import OAI.Probability.FreeIsing.Ising.CanonicalArtanhDenseIdentification
import OAI.Probability.FreeIsing.Ising.CanonicalArtanhIdentification
import OAI.Probability.FreeIsing.Ising.CanonicalClippedWeight
import OAI.Probability.FreeIsing.Ising.CanonicalContinuousFields
import OAI.Probability.FreeIsing.Ising.CanonicalCoordinateIdentification
import OAI.Probability.FreeIsing.Ising.CanonicalCovarianceIntegrals
import OAI.Probability.FreeIsing.Ising.CanonicalCovariancePullback
import OAI.Probability.FreeIsing.Ising.CanonicalDriftRegularity
import OAI.Probability.FreeIsing.Ising.CanonicalFieldNaturality
import OAI.Probability.FreeIsing.Ising.CanonicalIntegralRepresentation
import OAI.Probability.FreeIsing.Ising.CanonicalLocalSquare
import OAI.Probability.FreeIsing.Ising.CanonicalMartingales
import OAI.Probability.FreeIsing.Ising.CanonicalNormalizedField
import OAI.Probability.FreeIsing.Ising.CanonicalPosteriorStops
import OAI.Probability.FreeIsing.Ising.CanonicalResponseIntegrals
import OAI.Probability.FreeIsing.Ising.CavityTailTransport
import OAI.Probability.FreeIsing.Ising.CommonStopBounds
import OAI.Probability.FreeIsing.Ising.ContinuousCopyCoefficients
import OAI.Probability.FreeIsing.Ising.ContinuousCopyDensity
import OAI.Probability.FreeIsing.Ising.ContinuousCovarianceIntegral
import OAI.Probability.FreeIsing.Ising.ContinuousPosterior
import OAI.Probability.FreeIsing.Ising.ContinuousResponseAlgebra
import OAI.Probability.FreeIsing.Ising.ContinuousResponseEnergy
import OAI.Probability.FreeIsing.Ising.ContinuousRootResponse
import OAI.Probability.FreeIsing.Ising.CoordinateCompletion
import OAI.Probability.FreeIsing.Ising.CoordinateIntegrals
import OAI.Probability.FreeIsing.Ising.CopiedDriftDecomposition
import OAI.Probability.FreeIsing.Ising.CopyBrownian
import OAI.Probability.FreeIsing.Ising.CopyCanonicalStops
import OAI.Probability.FreeIsing.Ising.CopyCavityBounds
import OAI.Probability.FreeIsing.Ising.CopyCriticalSpatialBounds
import OAI.Probability.FreeIsing.Ising.CopyCriticalSpatialEstimates
import OAI.Probability.FreeIsing.Ising.CopyEdgeCorrelations
import OAI.Probability.FreeIsing.Ising.CopyEnergyIntegrability
import OAI.Probability.FreeIsing.Ising.CopyFixedPathBound
import OAI.Probability.FreeIsing.Ising.CopyInformationBound
import OAI.Probability.FreeIsing.Ising.CopyIntegralLimits
import OAI.Probability.FreeIsing.Ising.CopyLinearLongBound
import OAI.Probability.FreeIsing.Ising.CopyMartingaleImmersion
import OAI.Probability.FreeIsing.Ising.CopyNoiseLongBound
import OAI.Probability.FreeIsing.Ising.CopyOrbitAverage
import OAI.Probability.FreeIsing.Ising.CopyPathBounds
import OAI.Probability.FreeIsing.Ising.CopyPathVariance
import OAI.Probability.FreeIsing.Ising.CopyPathWeightNaturality
import OAI.Probability.FreeIsing.Ising.CopyProductDrift
import OAI.Probability.FreeIsing.Ising.CopyProductPathBound
import OAI.Probability.FreeIsing.Ising.CopyProductVariance
import OAI.Probability.FreeIsing.Ising.CopyResponseIdentification
import OAI.Probability.FreeIsing.Ising.CopyResponseRowPaths
import OAI.Probability.FreeIsing.Ising.CopyResponseRowSummability
import OAI.Probability.FreeIsing.Ising.CopyShellEnergies
import OAI.Probability.FreeIsing.Ising.CopySmallLogLoss
import OAI.Probability.FreeIsing.Ising.CopySmallTime
import OAI.Probability.FreeIsing.Ising.CopySpatialEndpoints
import OAI.Probability.FreeIsing.Ising.CopySquareDensity
import OAI.Probability.FreeIsing.Ising.CopyStoppedEnergy
import OAI.Probability.FreeIsing.Ising.CopyStrictComparison
import OAI.Probability.FreeIsing.Ising.CopyVarianceContinuity
import OAI.Probability.FreeIsing.Ising.CopyVarianceEquation
import OAI.Probability.FreeIsing.Ising.CopyVarianceRegularity
import OAI.Probability.FreeIsing.Ising.CopyWeightedCut
import OAI.Probability.FreeIsing.Ising.CopyWeightedPathCut
import OAI.Probability.FreeIsing.Ising.CovarianceTimeL2
import OAI.Probability.FreeIsing.Ising.CovarianceTotalEnergy
import OAI.Probability.FreeIsing.Ising.CriticalCopyEndgame
import OAI.Probability.FreeIsing.Ising.CriticalSmallLogLoss
import OAI.Probability.FreeIsing.Ising.CriticalSpatialRecovery
import OAI.Probability.FreeIsing.Ising.FiniteCovarianceEnergy
import OAI.Probability.FreeIsing.Ising.InnovationLaw
import OAI.Probability.FreeIsing.Ising.JoinedResponseIntegrals
import OAI.Probability.FreeIsing.Ising.LocalizedArtanh
import OAI.Probability.FreeIsing.Ising.LogGaussianTail
import OAI.Probability.FreeIsing.Ising.LogWeightedOrbitCut
import OAI.Probability.FreeIsing.Ising.MixedFiltering
import OAI.Probability.FreeIsing.Ising.NoiseTwoTails
import OAI.Probability.FreeIsing.Ising.ObservationComparison
import OAI.Probability.FreeIsing.Ising.ObservationIndependence
import OAI.Probability.FreeIsing.Ising.ObservationInnovation
import OAI.Probability.FreeIsing.Ising.ObservationPosteriorMartingale
import OAI.Probability.FreeIsing.Ising.ObservationPosteriorTransport
import OAI.Probability.FreeIsing.Ising.ObservationRecovery
import OAI.Probability.FreeIsing.Ising.ObservationResponseEnergy
import OAI.Probability.FreeIsing.Ising.OrientedGaussianTail
import OAI.Probability.FreeIsing.Ising.OrientedNoiseSplit
import OAI.Probability.FreeIsing.Ising.OrientedPath
import OAI.Probability.FreeIsing.Ising.OrientedPathWeights
import OAI.Probability.FreeIsing.Ising.OrientedPrefixWeights
import OAI.Probability.FreeIsing.Ising.OrientedStemTail
import OAI.Probability.FreeIsing.Ising.PathReversalTransport
import OAI.Probability.FreeIsing.Ising.PosteriorEnergyRegularity
import OAI.Probability.FreeIsing.Ising.PosteriorIntegralRepresentation
import OAI.Probability.FreeIsing.Ising.PosteriorL2Continuity
import OAI.Probability.FreeIsing.Ising.PosteriorRightContinuation
import OAI.Probability.FreeIsing.Ising.RootAttenuation
import OAI.Probability.FreeIsing.Ising.RootDoubleExponential
import OAI.Probability.FreeIsing.Ising.RootGaussianCut
import OAI.Probability.FreeIsing.Ising.RootWeightedCut
import OAI.Probability.FreeIsing.Ising.SharpVarianceRecovery
import OAI.Probability.FreeIsing.Ising.StemRerootAverage
import OAI.Probability.FreeIsing.Ising.StoppedDifferenceBounds
import OAI.Probability.FreeIsing.Ising.StoppedSquareAssembly
import OAI.Probability.FreeIsing.Ising.StrictFactorRecovery
import OAI.Probability.FreeIsing.Ising.WalkObstruction
import OAI.Probability.FreeIsing.Martingales.ArtanhMartingaleFormula
import OAI.Probability.FreeIsing.Martingales.BoundedMartingaleDriftEnergy
import OAI.Probability.FreeIsing.Martingales.BoundedMartingaleVariation
import OAI.Probability.FreeIsing.Martingales.CoefficientApproximation
import OAI.Probability.FreeIsing.Martingales.ContinuousMartingaleVariation
import OAI.Probability.FreeIsing.Martingales.ContinuousPosteriorMartingale
import OAI.Probability.FreeIsing.Martingales.ContinuousSelection
import OAI.Probability.FreeIsing.Martingales.DominatedMartingaleRightContinuation
import OAI.Probability.FreeIsing.Martingales.DriftEnergy
import OAI.Probability.FreeIsing.Martingales.IntegerIdentification
import OAI.Probability.FreeIsing.Martingales.IntegralStability
import OAI.Probability.FreeIsing.Martingales.L2MartingaleRightContinuation
import OAI.Probability.FreeIsing.Martingales.PredictableMeshApproximation
import OAI.Probability.FreeIsing.Martingales.PredictableVersion
import OAI.Probability.FreeIsing.Martingales.Pushforward
import OAI.Probability.FreeIsing.Martingales.RightContinuation
import OAI.Probability.FreeIsing.Martingales.SpatialCompensator
import OAI.Probability.FreeIsing.Martingales.SpatialRandomEvaluation
import OAI.Probability.FreeIsing.Martingales.StoppedDiscrepancyEnergy
import OAI.Probability.FreeIsing.Martingales.StoppedIdentityExhaustion
import OAI.Probability.FreeIsing.Martingales.StoppedProcessExhaustion
import OAI.Probability.FreeIsing.Martingales.StoppedProcessTransport
import OAI.Probability.FreeIsing.Martingales.StoppedRowNormalization
import OAI.Probability.FreeIsing.Martingales.StoppedSpatialAssociativity
import OAI.Probability.FreeIsing.Martingales.StoppedTimePrimitive
import OAI.Probability.FreeIsing.Martingales.StrongMaximal
import OAI.Probability.FreeIsing.Model
import OAI.Probability.FreeIsing.Posterior.ArrayPosteriorCovarianceStationarity
import OAI.Probability.FreeIsing.Posterior.CompensatorStopping
import OAI.Probability.FreeIsing.Posterior.ContinuousPosteriorInterior
import OAI.Probability.FreeIsing.Posterior.ContinuousPosteriorNaturality
import OAI.Probability.FreeIsing.Posterior.CopyBounds
import OAI.Probability.FreeIsing.Posterior.FieldL2Limit
import OAI.Probability.FreeIsing.Posterior.Fields
import OAI.Probability.FreeIsing.Posterior.FilteringArrayCrossLimit
import OAI.Probability.FreeIsing.Posterior.FilteringCrossLimit
import OAI.Probability.FreeIsing.Posterior.FilteringSimpleCrossEnergy
import OAI.Probability.FreeIsing.Posterior.FiniteIsingFilteringRepresentation
import OAI.Probability.FreeIsing.Posterior.GaussianEnergyIntegral
import OAI.Probability.FreeIsing.Posterior.MixedFilteringCrossLimit
import OAI.Probability.FreeIsing.Posterior.NormalizedObservationRowConvergence
import OAI.Probability.FreeIsing.Posterior.ObservationStepApproximation
import OAI.Probability.FreeIsing.Posterior.PlantedArrayCrossEnergy
import OAI.Probability.FreeIsing.Posterior.PlantedSufficiencyVector
import OAI.Probability.FreeIsing.Posterior.ProgressiveIsingPosterior
import OAI.Probability.FreeIsing.Posterior.ResponseCapRate
import OAI.Probability.FreeIsing.Posterior.SelectedPosteriorChannels
import OAI.Probability.FreeIsing.Posterior.SelectedPosteriorLimit
import OAI.Probability.FreeIsing.Posterior.Stationarity
import OAI.Probability.FreeIsing.Posterior.StrictPosteriorIncrements
import OAI.Probability.FreeIsing.Posterior.SubsetPosteriorSymmetry
import OAI.Probability.FreeIsing.Posterior.TimeL2Continuity
import OAI.Probability.FreeIsing.Posterior.UniformTimeApproximation
import OAI.Probability.FreeIsing.Posterior.VarianceInverse
import OAI.Probability.FreeIsing.Posterior.VarianceInverseTimeLimit
import OAI.Probability.FreeIsing.Spectral.ContinuousL2Stopping
import OAI.Probability.FreeIsing.Spectral.L2CompensatedDensityStopping
import OAI.Probability.FreeIsing.Spectral.L2CompensatedSquareStopping
import OAI.Probability.FreeIsing.Spectral.LocalOrthogonality
import OAI.Probability.FreeIsing.Spectral.OrthogonalRowIdentification
import OAI.Probability.FreeIsing.Spectral.PowerObstruction
import OAI.Probability.FreeIsing.Spectral.RadialPowerGrowth
import OAI.Probability.FreeIsing.Spectral.SpectralClosure
import OAI.Probability.FreeIsing.Spectral.SpectralTransfer
import OAI.Probability.FreeIsing.Spins.Chain
import OAI.Probability.FreeIsing.Spins.Flip
import OAI.Probability.FreeIsing.Spins.Kernel
import OAI.Probability.FreeIsing.Spins.Moments
import OAI.Probability.FreeIsing.Spins.ProductLaw
import OAI.Probability.FreeIsing.Stochastic.ActualCriticalBrownianFieldMoments
import OAI.Probability.FreeIsing.Stochastic.FiniteBrownianPlanted
import OAI.Probability.FreeIsing.Stochastic.FiniteIsingBrownianEnergy
import OAI.Probability.FreeIsing.Stochastic.FiniteIsingFilteringIntegral
import OAI.Probability.FreeIsing.Stochastic.FiniteObservationFiltrationLimit
import OAI.Probability.FreeIsing.Stochastic.GrowingFiltrationMartingale
import OAI.Probability.FreeIsing.Stochastic.PlantedStoppedBrownianSquare
import OAI.Probability.FreeIsing.Stochastic.RandomRiemannCompensator
import OAI.Probability.FreeIsing.Stochastic.RandomStoppedBrownianIntegral
import OAI.Probability.FreeIsing.Stochastic.SelectedBrownianFieldLaw
import OAI.Probability.FreeIsing.Stochastic.SelectedBrownianJointLaw
import OAI.Probability.FreeIsing.Stochastic.StoppedIntegralAssociativity
import OAI.Probability.FreeIsing.Stochastic.StoppedIntegralLocality
import OAI.Probability.FreeIsing.Stochastic.StoppedL2Compensator
import OAI.Probability.FreeIsing.Stochastic.WienerSampler
import OAI.Probability.FreeIsing.Trees.ActualCutWeightedAverage
import OAI.Probability.FreeIsing.Trees.BroadcastBranchLabels
import OAI.Probability.FreeIsing.Trees.Cardinality
import OAI.Probability.FreeIsing.Trees.ConeComplementField
import OAI.Probability.FreeIsing.Trees.ConeComplementFusion
import OAI.Probability.FreeIsing.Trees.ConeSubsetFusion
import OAI.Probability.FreeIsing.Trees.ConnectedExhaustion
import OAI.Probability.FreeIsing.Trees.ConnectedHull
import OAI.Probability.FreeIsing.Trees.ConnectedPercolation
import OAI.Probability.FreeIsing.Trees.CoupledPathVariance
import OAI.Probability.FreeIsing.Trees.CutContinuationChannels
import OAI.Probability.FreeIsing.Trees.CutContinuations
import OAI.Probability.FreeIsing.Trees.CutLevelConcentration
import OAI.Probability.FreeIsing.Trees.EdgeCylinders
import OAI.Probability.FreeIsing.Trees.EndpointFromPaths
import OAI.Probability.FreeIsing.Trees.Escape
import OAI.Probability.FreeIsing.Trees.FinitePathCutCost
import OAI.Probability.FreeIsing.Trees.GeodesicPrefix
import OAI.Probability.FreeIsing.Trees.GibbsCovariance
import OAI.Probability.FreeIsing.Trees.HalfPathDecay
import OAI.Probability.FreeIsing.Trees.InfiniteCanonicalPathResponse
import OAI.Probability.FreeIsing.Trees.InfiniteInwardCavity
import OAI.Probability.FreeIsing.Trees.InwardCutChannels
import OAI.Probability.FreeIsing.Trees.InwardCutCost
import OAI.Probability.FreeIsing.Trees.InwardCutFields
import OAI.Probability.FreeIsing.Trees.InwardCutProducts
import OAI.Probability.FreeIsing.Trees.NoisyBranchSeparation
import OAI.Probability.FreeIsing.Trees.OrbitAverage
import OAI.Probability.FreeIsing.Trees.PathAverageWeight
import OAI.Probability.FreeIsing.Trees.PathCutCost
import OAI.Probability.FreeIsing.Trees.PathHomogeneity
import OAI.Probability.FreeIsing.Trees.PathSideInwardLocality
import OAI.Probability.FreeIsing.Trees.Regularity
import OAI.Probability.FreeIsing.Trees.RestrictedCutCardinality
import OAI.Probability.FreeIsing.Trees.RootCorrelation
import OAI.Probability.FreeIsing.Trees.RootedTransitivity
import OAI.Probability.FreeIsing.Trees.RowEnergyCutoff
import OAI.Probability.FreeIsing.Trees.SelectedInwardPathAttenuation
import OAI.Probability.FreeIsing.Trees.SelectedPathSegmentAttenuation
import OAI.Probability.FreeIsing.Trees.Shells
import OAI.Probability.FreeIsing.Trees.StemRerootAverage
import OAI.Probability.FreeIsing.Trees.SubcriticalPathSums
import OAI.Probability.FreeIsing.Trees.Transitivity
import OAI.Probability.FreeIsing.Trees.WeightedPathSummation
import OAI.Probability.FreeIsing.Trees.WeightedShellSummation
import OAI.Probability.FreeIsing.Trees.WordAction