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### Index

`AddSpecialGapOfNumericalSemigroup` 5.1-2
`AmbientNumericalSemigroupOfIdeal` 7.1-5
`AnIrreducibleNumericalSemigroupWithFrobeniusNumber` 6.1-4
`AperyListOfNumericalSemigroupAsGraph` 3.1-7
`AperyListOfNumericalSemigroupWRTElement` 3.1-5
`ArfNumericalSemigroupClosure` 8.2-2
`BelongsToIdealOfNumericalSemigroup` 7.1-7
`BelongsToNumericalSemigroup` 2.2-6
`BezoutSequence` A.1-1
`BlowUpIdealOfNumericalSemigroup` 7.1-14
`BlowUpOfNumericalSemigroup` 7.1-17
`CanonicalIdealOfNumericalSemigroup` 7.1-20
`CatenaryDegreeNumericalSemigroup` 9.1-7
`CeilingOfRational` A.1-3
`DecomposeIntoIrreducibles` 6.1-6
`DeltaSetOfFactorizationsElementWRTNumericalSemigroup` 9.1-5
`DifferenceOfIdealsOfNumericalSemigroup` 7.1-11
`DrawAperyListOfNumericalSemigroup` 3.1-6
`ElasticityOfFactorizationsElementWRTNumericalSemigroup` 9.1-3
`ElasticityOfNumericalSemigroup` 9.1-4
`FactorizationsElementWRTNumericalSemigroup` 9.1-1
`FirstElementsOfNumericalSemigroup` 3.1-4
`FortenTruncatedNCForNumericalSemigroups` 4.1-1
`FrobeniusNumber` 3.2-2
`FrobeniusNumberOfNumericalSemigroup` 3.2-1
`FundamentalGapsOfNumericalSemigroup` 3.3-2
`GapsOfNumericalSemigroup` 3.3-1
`GeneratorsOfIdealOfNumericalSemigroup` 7.1-4
`GeneratorsOfIdealOfNumericalSemigroupNC` 7.1-4
`GeneratorsOfNumericalSemigroup` 3.1-2
`GeneratorsOfNumericalSemigroupNC` 3.1-2
`GraphAssociatedToElementInNumericalSemigroup` 4.1-3
`HilbertFunctionOfIdealOfNumericalSemigroup` 7.1-13
`IdealOfNumericalSemigroup` 7.1-1
`IntersectionIdealsOfNumericalSemigroup` 7.1-21
`IntersectionOfNumericalSemigroups` 5.1-3
`IrreducibleNumericalSemigroupsWithFrobeniusNumber` 6.1-5
`IsAperyListOfNumericalSemigroup` 2.2-4
`IsArfNumericalSemigroup` 8.2-1
`IsBezoutSequence` A.1-2
`IsGradedAssociatedRingNumericalSemigroupCM` 7.1-19
`IsIdealOfNumericalSemigroup` 7.1-2
`IsIrreducibleNumericalSemigroup` 6.1-1
`IsMEDNumericalSemigroup` 8.1-1
`IsModularNumericalSemigroup` 2.2-1
`IsNumericalSemigroup` 2.2-1
`IsNumericalSemigroupByAperyList` 2.2-1
`IsNumericalSemigroupByFundamentalGaps` 2.2-1
`IsNumericalSemigroupByGaps` 2.2-1
`IsNumericalSemigroupByGenerators` 2.2-1
`IsNumericalSemigroupByInterval` 2.2-1
`IsNumericalSemigroupByMinimalGenerators` 2.2-1
`IsNumericalSemigroupByOpenInterval` 2.2-1
`IsNumericalSemigroupBySmallElements` 2.2-1
`IsNumericalSemigroupBySubAdditiveFunction` 2.2-1
`IsProportionallyModularNumericalSemigroup` 2.2-1
`IsPseudoSymmetricNumericalSemigroup` 6.1-3
`IsSubsemigroupOfNumericalSemigroup` 2.2-5
`IsSymmetricNumericalSemigroup` 6.1-2
`LengthsOfFactorizationsElementWRTNumericalSemigroup` 9.1-2
`MaximalIdealOfNumericalSemigroup` 7.1-16
`MaximumDegreeOfElementWRTNumericalSemigroup` 9.1-6
`MEDNumericalSemigroupClosure` 8.1-2
`MicroInvariantsOfNumericalSemigroup` 7.1-18
`MinimalArfGeneratingSystemOfArfNumericalSemigroup` 8.2-3
`MinimalGeneratingSystemOfIdealOfNumericalSemigroup` 7.1-3
`MinimalGeneratingSystemOfNumericalSemigroup` 3.1-2
`MinimalMEDGeneratingSystemOfMEDNumericalSemigroup` 8.1-3
`MinimalPresentationOfNumericalSemigroup` 4.1-2
`ModularNumericalSemigroup` 2.1-2
`MultipleOfIdealOfNumericalSemigroup` 7.1-9
`MultiplicityOfNumericalSemigroup` 3.1-1
`NumericalSemigroup` 2.1-1
`NumericalSemigroupByAperyList` 2.1-4
`NumericalSemigroupByFundamentalGaps` 2.1-4
`NumericalSemigroupByGaps` 2.1-4
`NumericalSemigroupByGenerators` 2.1-4
`NumericalSemigroupByInterval` 2.1-4
`NumericalSemigroupByMinimalGenerators` 2.1-4
`NumericalSemigroupByMinimalGeneratorsNC` 2.1-4
`NumericalSemigroupByOpenInterval` 2.1-4
`NumericalSemigroupBySmallElements` 2.1-4
`NumericalSemigroupBySubAdditiveFunction` 2.1-4
`NumericalSemigroupsWithFrobeniusNumber` 5.2-2
`OverSemigroupsNumericalSemigroup` 5.2-1
`ProportionallyModularNumericalSemigroup` 2.1-3
`PseudoFrobeniusOfNumericalSemigroup` 3.2-3
`QuotientOfNumericalSemigroup` 5.1-4
`RandomListForNS` B.1-2
`RandomListRepresentingSubAdditiveFunction` B.1-5
`RandomModularNumericalSemigroup` B.1-3
`RandomNumericalSemigroup` B.1-1
`RandomProportionallyModularNumericalSemigroup` B.1-4
`ReductionNumberIdealNumericalSemigroup` 7.1-15
`RemoveMinimalGeneratorFromNumericalSemigroup` 5.1-1
`RepresentsGapsOfNumericalSemigroup` 2.2-3
`RepresentsPeriodicSubAdditiveFunction` A.2-1
`RepresentsSmallElementsOfNumericalSemigroup` 2.2-2
`SmallElementsOfIdealOfNumericalSemigroup` 7.1-6
`SmallElementsOfNumericalSemigroup` 3.1-3
`SpecialGapsOfNumericalSemigroup` 3.3-3
`SubtractIdealsOfNumericalSemigroup` 7.1-10
`SumIdealsOfNumericalSemigroup` 7.1-8
`TameDegreeNumericalSemigroup` 9.1-8
`TranslationOfIdealOfNumericalSemigroup` 7.1-12
`XNumericalSemigroup` C.1-1

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