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API REFERENCE/omnibias-core

omnibias.core.realization

0.5.0rc1Release candidatePython >=3.10Apache-2.0

Coefficient recurrences, activation contracts, jet algebra, and verified arithmetic shared by the numerical backends.

import omnibias.core.realization
Module contract & mathematical conventions

Realization-map descriptions with explicit observation and parameter scope.

Shared formulas do not imply universal floating-point identity. Verify dtype, shape, derivative-order support, and the stated numerical assumptions for the path you use.

Module source ↗Source revision 9a2d73df0573Running reference examples →
algebraicModule ↗membershipModule ↗polynomialModule ↗rankModule ↗schemaModule ↗transitionModule ↗witnessModule ↗

Imports & aliases​

These names share a definition with another public module. Follow a name for its full contract, parameters, and examples.

Import from this moduleCanonical reference
AlgebraBudgetomnibias.core.realization.AlgebraBudget
AlgebraBudgetExceededomnibias.core.realization.AlgebraBudgetExceeded
AlgebraicNumberomnibias.core.realization.AlgebraicNumber
AlgebraicRealizationWitnessomnibias.core.realization.AlgebraicRealizationWitness
ExactRankWitnessomnibias.core.realization.ExactRankWitness
GenericRankReportomnibias.core.realization.GenericRankReport
IntegralKindomnibias.core.realization.IntegralKind
LaurentClosureWitnessomnibias.core.realization.LaurentClosureWitness
LaurentPolynomialomnibias.core.realization.LaurentPolynomial
LayerSpecomnibias.core.realization.LayerSpec
MembershipReportomnibias.core.realization.MembershipReport
ObservationKindomnibias.core.realization.ObservationKind
ObservationSpecomnibias.core.realization.ObservationSpec
OperatorRoleomnibias.core.realization.OperatorRole
ParameterBlockomnibias.core.realization.ParameterBlock
ParameterLayoutomnibias.core.realization.ParameterLayout
PolynomialNetworkSpecomnibias.core.realization.PolynomialNetworkSpec
PolynomialRealizationMapomnibias.core.realization.PolynomialRealizationMap
RationalRealizationWitnessomnibias.core.realization.RationalRealizationWitness
RealAlgebraicFieldomnibias.core.realization.RealAlgebraicField
RealizationScopeomnibias.core.realization.RealizationScope
RealizationSpecomnibias.core.realization.RealizationSpec
SparsePolynomialomnibias.core.realization.SparsePolynomial
certify_generic_rankomnibias.core.realization.certify_generic_rank
certify_matrix_rankomnibias.core.realization.certify_matrix_rank
classify_binary_quadraticomnibias.core.realization.classify_binary_quadratic
classify_linearomnibias.core.realization.classify_linear
classify_scalar_quadraticomnibias.core.realization.classify_scalar_quadratic
compile_coefficient_mapomnibias.core.realization.compile_coefficient_map
rational_realization_witnessomnibias.core.realization.rational_realization_witness
root_countomnibias.core.realization.root_count
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