  
  
  [1XIndex[101X
  
  [2XAddSpecialGapOfNumericalSemigroup[102X  5.1-2
  [2XAdjacentCatenaryDegreeOfSetOfFactorizations[102X  9.3-2
  [2XAdjustmentOfNumericalSemigroup[102X  9.2-11
  [2XAffineSemigroup[102X  11.2-1
  [2XAlmostSymmetricNumericalSemigroupsFromIrreducible[102X  6.3-1
  [2XAlmostSymmetricNumericalSemigroupsWithFrobeniusNumber[102X  6.3-3
  [2XAmbientNumericalSemigroupOfIdeal[102X  7.1-5
  [2XAnIrreducibleNumericalSemigroupWithFrobeniusNumber[102X  6.1-4
  [2XAperyListOfIdealOfNumericalSemigroupWRTElement[102X  7.2-8
  [2XAperyListOfNumericalSemigroup[102X  3.1-7
  [2XAperyListOfNumericalSemigroupAsGraph[102X  3.1-9
  [2XAperyListOfNumericalSemigroupWRTElement[102X  3.1-6
  [2XAperyListOfNumericalSemigroupWRTInteger[102X  3.1-8
  [2XAperyTableOfNumericalSemigroup[102X  7.2-9
  [2XArfNumericalSemigroupClosure[102X  8.2-2
  [2XArfNumericalSemigroupsWithFrobeniusNumber[102X  8.2-4
  [2XAsAffineSemigroup[102X  11.2-2
  [2XAsGluingOfNumericalSemigroups[102X  6.2-1
  [2XBasisOfGroupGivenByEquations[102X  11.2-9
  [2XBelongsToAffineSemigroup[102X  11.2-4
  [2XBelongsToHomogenizationOfNumericalSemigroup[102X  9.5-1
  [2XBelongsToIdealOfNumericalSemigroup[102X  7.1-7
  [2XBelongsToNumericalSemigroup[102X  2.2-6
  [2XBettiElementsOfAffineSemigroup[102X  11.4-3
  [2XBettiElementsOfNumericalSemigroup[102X  4.1-3
  [2XBezoutSequence[102X  A.1-1
  [2XBlowUpIdealOfNumericalSemigroup[102X  7.2-2
  [2XBlowUpOfNumericalSemigroup[102X  7.2-4
  [2XCanonicalIdealOfNumericalSemigroup[102X  7.1-15
  [2XCatenaryDegreeOfAffineSemigroup[102X  11.5-3
  [2XCatenaryDegreeOfElementInNumericalSemigroup[102X  9.3-5
  [2XCatenaryDegreeOfNumericalSemigroup[102X  9.3-7
  [2XCatenaryDegreeOfSetOfFactorizations[102X  9.3-1
  [2XCeilingOfRational[102X  A.1-3
  [2XCompleteIntersectionNumericalSemigroupsWithFrobeniusNumber[102X  6.2-3
  [2XConductorOfNumericalSemigroup[102X  3.2-3
  [2XCurveAssociatedToDeltaSequence[102X  10.2-4
  [2XDecomposeIntoIrreducibles[102X  6.1-6
  [2XDeltaSequencesWithFrobeniusNumber[102X  10.2-3
  [2XDeltaSetListUpToElementWRTNumericalSemigroup[102X  C.2-5
  [2XDeltaSetOfFactorizationsElementWRTNumericalSemigroup[102X  9.2-6
  [2XDeltaSetOfNumericalSemigroup[102X  C.2-7
  [2XDeltaSetOfSetOfIntegers[102X  9.2-5
  [2XDeltaSetPeriodicityBoundForNumericalSemigroup[102X  C.2-3
  [2XDeltaSetPeriodicityStartForNumericalSemigroup[102X  C.2-4
  [2XDeltaSetUnionUpToElementWRTNumericalSemigroup[102X  C.2-6
  [2XDenumerantOfElementInNumericalSemigroup[102X  9.1-5
  [2XDifferenceOfIdealsOfNumericalSemigroup[102X  7.1-11
  [2XElasticityOfAffineSemigroup[102X  11.5-2
  [2XElasticityOfFactorizationsElementWRTNumericalSemigroup[102X  9.2-3
  [2XElasticityOfNumericalSemigroup[102X  9.2-4
  [2XEmbeddingDimensionOfNumericalSemigroup[102X  3.1-3
  [2XEqualCatenaryDegreeOfAffineSemigroup[102X  11.5-4
  [2XEqualCatenaryDegreeOfNumericalSemigroup[102X  9.3-9
  [2XEqualCatenaryDegreeOfSetOfFactorizations[102X  9.3-3
  [2XEqualPrimitiveElementsOfNumericalSemigroup[102X  9.3-8
  [2XEquationsOfGroupGeneratedBy[102X  11.2-8
  [2XFactorizationsElementListWRTNumericalSemigroup[102X  C.2-2
  [2XFactorizationsElementWRTNumericalSemigroup[102X  9.1-2
  [2XFactorizationsInHomogenizationOfNumericalSemigroup[102X  9.5-2
  [2XFactorizationsIntegerWRTList[102X  9.1-1
  [2XFactorizationsVectorWRTList[102X  11.5-1
  [2XFirstElementsOfNumericalSemigroup[102X  3.1-5
  [2XForcedIntegersForPseudoFrobenius[102X  5.6-1
  [2XFreeNumericalSemigroupsWithFrobeniusNumber[102X  6.2-5
  [2XFrobeniusNumber[102X  3.2-2
  [2XFrobeniusNumberOfNumericalSemigroup[102X  3.2-1
  [2XFundamentalGapsOfNumericalSemigroup[102X  3.3-3
  [2XGapsOfNumericalSemigroup[102X  3.3-1
  [2XGeneratorsOfIdealOfNumericalSemigroup[102X  7.1-4
  [2XGeneratorsOfIdealOfNumericalSemigroupNC[102X  7.1-4
  [2XGeneratorsOfKernelCongruence[102X  11.4-1
  [2XGeneratorsOfNumericalSemigroup[102X  3.1-2
  [2XGenusOfNumericalSemigroup[102X  3.3-2
  [2XGluingOfAffineSemigroups[102X  11.3-1
  [2XGraeffePolynomial[102X  10.1-3
  [2XGraphAssociatedToElementInNumericalSemigroup[102X  4.1-2
  [2XHilbertBasisOfSystemOfHomogeneousEquations[102X  11.2-6
  [2XHilbertBasisOfSystemOfHomogeneousInequalities[102X  11.2-7
  [2XHilbertFunctionOfIdealOfNumericalSemigroup[102X  7.2-1
  [2XHilbertSeriesOfNumericalSemigroup[102X  10.1-2
  [2XHomogeneousBettiElementsOfNumericalSemigroup[102X  9.5-3
  [2XHomogeneousCatenaryDegreeOfAffineSemigroup[102X  11.5-5
  [2XHomogeneousCatenaryDegreeOfNumericalSemigroup[102X  9.5-4
  [2XIdealOfNumericalSemigroup[102X  7.1-1
  [2XIntersectionIdealsOfNumericalSemigroup[102X  7.1-13
  [2XIntersectionOfNumericalSemigroups[102X  5.2-1
  [2XIrreducibleNumericalSemigroupsWithFrobeniusNumber[102X  6.1-5
  [2XIsACompleteIntersectionNumericalSemigroup[102X  6.2-2
  [2XIsAdditiveNumericalSemigroup[102X  9.2-12
  [2XIsAffineSemigroup[102X  11.2-3
  [2XIsAffineSemigroupByEquations[102X  11.2-3
  [2XIsAffineSemigroupByGenerators[102X  11.2-3
  [2XIsAffineSemigroupByInequalities[102X  11.2-3
  [2XIsAffineSemigroupByMinimalGenerators[102X  11.2-3
  [2XIsAlmostSymmetricNumericalSemigroup[102X  6.3-2
  [2XIsAperyListOfNumericalSemigroup[102X  2.2-4
  [2XIsAperySetAlphaRectangular[102X  C.1-8
  [2XIsAperySetBetaRectangular[102X  C.1-7
  [2XIsAperySetGammaRectangular[102X  C.1-6
  [2XIsArfNumericalSemigroup[102X  8.2-1
  [2XIsBezoutSequence[102X  A.1-2
  [2XIsCyclotomicNumericalSemigroup[102X  10.1-6
  [2XIsCyclotomicPolynomial[102X  10.1-4
  [2XIsDeltaSequence[102X  10.2-2
  [2XIsFreeNumericalSemigroup[102X  6.2-4
  [2XIsFullAffineSemigroup[102X  11.2-5
  [2XIsGenericAffineSemigroup[102X  11.4-5
  [2XIsGenericNumericalSemigroup[102X  4.2-2
  [2XIsGradedAssociatedRingNumericalSemigroupBuchsbaum[102X  C.1-1
  [2XIsGradedAssociatedRingNumericalSemigroupCI[102X  C.1-5
  [2XIsGradedAssociatedRingNumericalSemigroupCM[102X  7.2-6
  [2XIsGradedAssociatedRingNumericalSemigroupGorenstein[102X  C.1-4
  [2XIsIdealOfNumericalSemigroup[102X  7.1-2
  [2XIsIrreducibleNumericalSemigroup[102X  6.1-1
  [2XIsKroneckerPolynomial[102X  10.1-5
  [2XIsListOfIntegersNS[102X  A.2-2
  [2XIsMEDNumericalSemigroup[102X  8.1-1
  [2XIsModularNumericalSemigroup[102X  2.2-1
  [2XIsMonomialNumericalSemigroup[102X  7.2-7
  [2XIsMpureNumericalSemigroup[102X  C.1-2
  [2XIsNumericalSemigroup[102X  2.2-1
  [2XIsNumericalSemigroupAssociatedIrreduciblePlanarCurveSingularity[102X  6.2-8
  [2XIsNumericalSemigroupByAperyList[102X  2.2-1
  [2XIsNumericalSemigroupByFundamentalGaps[102X  2.2-1
  [2XIsNumericalSemigroupByGaps[102X  2.2-1
  [2XIsNumericalSemigroupByGenerators[102X  2.2-1
  [2XIsNumericalSemigroupByInterval[102X  2.2-1
  [2XIsNumericalSemigroupByMinimalGenerators[102X  2.2-1
  [2XIsNumericalSemigroupByOpenInterval[102X  2.2-1
  [2XIsNumericalSemigroupBySmallElements[102X  2.2-1
  [2XIsNumericalSemigroupBySubAdditiveFunction[102X  2.2-1
  [2XIsProportionallyModularNumericalSemigroup[102X  2.2-1
  [2XIsPseudoSymmetricNumericalSemigroup[102X  6.1-3
  [2XIsPureNumericalSemigroup[102X  C.1-3
  [2XIsSaturatedNumericalSemigroup[102X  8.3-1
  [2XIsSelfReciprocalUnivariatePolynomial[102X  10.1-7
  [2XIsSubsemigroupOfNumericalSemigroup[102X  2.2-5
  [2XIsSuperSymmetricNumericalSemigroup[102X  9.2-13
  [2XIsSymmetricNumericalSemigroup[102X  6.1-2
  [2XIsTelescopicNumericalSemigroup[102X  6.2-6
  [2XIsUniquelyPresentedAffineSemigroup[102X  11.4-6
  [2XIsUniquelyPresentedNumericalSemigroup[102X  4.2-1
  [2XKunzCoordinatesOfNumericalSemigroup[102X  3.1-10
  [2XKunzPolytope[102X  3.1-11
  [2XLengthsOfFactorizationsElementWRTNumericalSemigroup[102X  9.2-2
  [2XLengthsOfFactorizationsIntegerWRTList[102X  9.2-1
  [2XLShapesOfNumericalSemigroup[102X  9.1-4
  [2XMaximalDenumerantOfElementInNumericalSemigroup[102X  9.2-8
  [2XMaximalDenumerantOfNumericalSemigroup[102X  9.2-10
  [2XMaximalDenumerantOfSetOfFactorizations[102X  9.2-9
  [2XMaximalIdealOfNumericalSemigroup[102X  7.1-14
  [2XMaximumDegreeOfElementWRTNumericalSemigroup[102X  9.2-7
  [2XMEDNumericalSemigroupClosure[102X  8.1-2
  [2XMicroInvariantsOfNumericalSemigroup[102X  7.2-5
  [2XMinimalArfGeneratingSystemOfArfNumericalSemigroup[102X  8.2-3
  [2XMinimalGeneratingSystem[102X  3.1-2
  [2XMinimalGeneratingSystem[102X  7.1-3
  [2XMinimalGeneratingSystemOfIdealOfNumericalSemigroup[102X  7.1-3
  [2XMinimalGeneratingSystemOfNumericalSemigroup[102X  3.1-2
  [2XMinimalMEDGeneratingSystemOfMEDNumericalSemigroup[102X  8.1-3
  [2XMinimalPresentationOfAffineSemigroup[102X  11.4-2
  [2XMinimalPresentationOfNumericalSemigroup[102X  4.1-1
  [2XModularNumericalSemigroup[102X  2.1-2
  [2XMoebiusFunctionAssociatedToNumericalSemigroup[102X  9.6-1
  [2XMonotoneCatenaryDegreeOfAffineSemigroup[102X  11.5-6
  [2XMonotoneCatenaryDegreeOfNumericalSemigroup[102X  9.3-11
  [2XMonotoneCatenaryDegreeOfSetOfFactorizations[102X  9.3-4
  [2XMonotonePrimitiveElementsOfNumericalSemigroup[102X  9.3-10
  [2XMultipleOfIdealOfNumericalSemigroup[102X  7.1-9
  [2XMultiplicityOfNumericalSemigroup[102X  3.1-1
  [2XNumericalSemigroup[102X  2.1-1
  [2XNumericalSemigroupByAperyList[102X  2.1-4
  [2XNumericalSemigroupByFundamentalGaps[102X  2.1-4
  [2XNumericalSemigroupByGaps[102X  2.1-4
  [2XNumericalSemigroupByGenerators[102X  2.1-4
  [2XNumericalSemigroupByInterval[102X  2.1-4
  [2XNumericalSemigroupByMinimalGenerators[102X  2.1-4
  [2XNumericalSemigroupByMinimalGeneratorsNC[102X  2.1-4
  [2XNumericalSemigroupByOpenInterval[102X  2.1-4
  [2XNumericalSemigroupBySmallElements[102X  2.1-4
  [2XNumericalSemigroupBySubAdditiveFunction[102X  2.1-4
  [2XNumericalSemigroupPolynomial[102X  10.1-1
  [2XNumericalSemigroupsAssociatedIrreduciblePlanarCurveSingularityWithFrobeniusNumber[102X  6.2-9
  [2XNumericalSemigroupsWithFrobeniusNumber[102X  5.4-1
  [2XNumericalSemigroupsWithGenus[102X  5.5-1
  [2XNumericalSemigroupsWithPseudoFrobeniusNumbers[102X  5.6-3
  [2XNumSgpsUse4ti2[102X  11.1-1
  [2XNumSgpsUse4ti2gap[102X  11.1-2
  [2XNumSgpsUseNormalize[102X  11.1-3
  [2XNumSgpsUseSingular[102X  11.1-4
  [2XNumSgpsUseSingularGradedModules[102X  11.1-6
  [2XNumSgpsUseSingularInterface[102X  11.1-5
  [2XOmegaPrimalityOfAffineSemigroup[102X  11.5-9
  [2XOmegaPrimalityOfElementInAffineSemigroup[102X  11.5-8
  [2XOmegaPrimalityOfElementInNumericalSemigroup[102X  9.4-1
  [2XOmegaPrimalityOfElementListInNumericalSemigroup[102X  C.2-1
  [2XOmegaPrimalityOfNumericalSemigroup[102X  9.4-2
  [2XOverSemigroupsNumericalSemigroup[102X  5.3-1
  [2XPrimitiveElementsOfAffineSemigroup[102X  11.4-7
  [2XPrimitiveElementsOfNumericalSemigroup[102X  4.1-4
  [2XProportionallyModularNumericalSemigroup[102X  2.1-3
  [2XPseudoFrobeniusOfNumericalSemigroup[102X  3.2-4
  [2XQuotientOfNumericalSemigroup[102X  5.2-2
  [2XRandomListForNS[102X  B.1-2
  [2XRandomListRepresentingSubAdditiveFunction[102X  B.1-5
  [2XRandomModularNumericalSemigroup[102X  B.1-3
  [2XRandomNumericalSemigroup[102X  B.1-1
  [2XRandomNumericalSemigroupWithPseudoFrobeniusNumbers[102X  5.6-4
  [2XRandomProportionallyModularNumericalSemigroup[102X  B.1-4
  [2XRClassesOfSetOfFactorizations[102X  9.1-3
  [2XReductionNumberIdealNumericalSemigroup[102X  7.2-3
  [2XRemoveMinimalGeneratorFromNumericalSemigroup[102X  5.1-1
  [2XRepresentsGapsOfNumericalSemigroup[102X  2.2-3
  [2XRepresentsPeriodicSubAdditiveFunction[102X  A.2-1
  [2XRepresentsSmallElementsOfNumericalSemigroup[102X  2.2-2
  [2XSaturatedNumericalSemigroupClosure[102X  8.3-2
  [2XSaturatedNumericalSemigroupsWithFrobeniusNumber[102X  8.3-3
  [2XSemigroupOfValuesOfCurve_Global[102X  10.2-6
  [2XSemigroupOfValuesOfCurve_Local[102X  10.2-5
  [2XSemigroupOfValuesOfPlaneCurveWithSinglePlaceAtInfinity[102X  10.2-1
  [2XShadedSetOfElementInAffineSemigroup[102X  11.4-4
  [2XShadedSetOfElementInNumericalSemigroup[102X  4.1-5
  [2XSimpleForcedIntegersForPseudoFrobenius[102X  5.6-2
  [2XSmallElements[102X  3.1-4
  [2XSmallElements[102X  7.1-6
  [2XSmallElementsOfIdealOfNumericalSemigroup[102X  7.1-6
  [2XSmallElementsOfNumericalSemigroup[102X  3.1-4
  [2XSpecialGapsOfNumericalSemigroup[102X  3.3-4
  [2XStarClosureOfIdealOfNumericalSemigroup[102X  7.2-10
  [2XSubtractIdealsOfNumericalSemigroup[102X  7.1-10
  [2XSumIdealsOfNumericalSemigroup[102X  7.1-8
  [2XTameDegreeOfAffineSemigroup[102X  11.5-7
  [2XTameDegreeOfElementInNumericalSemigroup[102X  9.3-13
  [2XTameDegreeOfNumericalSemigroup[102X  9.3-12
  [2XTameDegreeOfSetOfFactorizations[102X  9.3-6
  [2XTelescopicNumericalSemigroupsWithFrobeniusNumber[102X  6.2-7
  [2XTranslationOfIdealOfNumericalSemigroup[102X  7.1-12
  [2XTypeOfNumericalSemigroup[102X  3.2-5
  [2XTypeSequenceOfNumericalSemigroup[102X  C.1-9
  
  
  -------------------------------------------------------
