\begin{theindex} \item \texttt {AddSpecialGapOfNumericalSemigroup}, \hyperpage{21} \item \texttt {AmbientNumericalSemigroupOfIdeal}, \hyperpage{29} \item \texttt {AnIrreducible}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}\discretionary {-}{}{}\texttt {With}\discretionary {-}{}{}\texttt {Frobenius}\discretionary {-}{}{}\texttt {Number}, \hyperpage{26} \item \texttt {AperyListOfNumericalSemigroupAsGraph}, \hyperpage{17} \item \texttt {AperyListOfNumericalSemigroupWRTElement}, \hyperpage{16} \item \texttt {ArfNumericalSemigroupClosure}, \hyperpage{39} \indexspace \item \texttt {BelongsToIdealOfNumericalSemigroup}, \hyperpage{30} \item \texttt {BelongsToNumericalSemigroup}, \hyperpage{13} \item \texttt {BezoutSequence}, \hyperpage{43} \item \texttt {BlowUpIdealOfNumericalSemigroup}, \hyperpage{33} \item \texttt {BlowUpOfNumericalSemigroup}, \hyperpage{34} \indexspace \item \texttt {CanonicalIdealOfNumericalSemigroup}, \hyperpage{35} \item \texttt {CatenaryDegreeOfElementNS}, \hyperpage{42} \item \texttt {CatenaryDegreeOfNumericalSemigroup}, \hyperpage{42} \item \texttt {CeilingOfRational}, \hyperpage{44} \indexspace \item \texttt {DecomposeIntoIrreducibles}, \hyperpage{27} \item \texttt {Delta}\discretionary {-}{}{}\texttt {Set}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Factorizations}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {W}\discretionary {-}{}{}\texttt {R}\discretionary {-}{}{}\texttt {T}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{41} \item \texttt {DifferenceOfIdealsOfNumericalSemigroup}, \hyperpage{32} \item \texttt {DrawAperyListOfNumericalSemigroup}, \hyperpage{16} \indexspace \item \texttt {Elasticity}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Factorizations}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {W}\discretionary {-}{}{}\texttt {R}\discretionary {-}{}{}\texttt {T}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{41} \item \texttt {ElasticityOfNumericalSemigroup}, \hyperpage{41} \indexspace \item \texttt {Factorizations}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {W}\discretionary {-}{}{}\texttt {R}\discretionary {-}{}{}\texttt {T}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{40} \item \texttt {FirstElementsOfNumericalSemigroup}, \hyperpage{16} \item \texttt {FortenTruncatedNCForNumericalSemigroups}, \hyperpage{19} \item \texttt {FrobeniusNumber}, \hyperpage{17} \item \texttt {FrobeniusNumberOfNumericalSemigroup}, \hyperpage{17} \item \texttt {FundamentalGapsOfNumericalSemigroup}, \hyperpage{18} \indexspace \item \texttt {GapsOfNumericalSemigroup}, \hyperpage{18} \item \texttt {GeneratorsOfIdealOfNumericalSemigroup}, \hyperpage{29} \item \texttt {GeneratorsOfIdealOfNumericalSemigroupNC}, \hyperpage{29} \item \texttt {GeneratorsOfNumericalSemigroup}, \hyperpage{15} \item \texttt {GeneratorsOfNumericalSemigroupNC}, \hyperpage{15} \item \texttt {Graph}\discretionary {-}{}{}\texttt {Associated}\discretionary {-}{}{}\texttt {To}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {In}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{20} \indexspace \item \texttt {Hilbert}\discretionary {-}{}{}\texttt {Function}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Ideal}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{33} \indexspace \item \texttt {IdealOfNumericalSemigroup}, \hyperpage{28} \item \texttt {IntersectionIdealsOfNumericalSemigroup}, \hyperpage{36} \item \texttt {IntersectionOfNumericalSemigroups}, \hyperpage{22} \item \texttt {Irreducible}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroups}\discretionary {-}{}{}\texttt {With}\discretionary {-}{}{}\texttt {Frobenius}\discretionary {-}{}{}\texttt {Number}, \hyperpage{26} \item \texttt {IsAperyListOfNumericalSemigroup}, \hyperpage{13} \item \texttt {IsArfNumericalSemigroup}, \hyperpage{38} \item \texttt {IsBezoutSequence}, \hyperpage{43} \item \texttt {IsGraded}\discretionary {-}{}{}\texttt {Associated}\discretionary {-}{}{}\texttt {Ring}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {SemigroupCM}, \hyperpage{35} \item \texttt {IsIdealOfNumericalSemigroup}, \hyperpage{28} \item \texttt {IsIrreducibleNumericalSemigroup}, \hyperpage{25} \item \texttt {IsMEDNumericalSemigroup}, \hyperpage{37} \item \texttt {IsModularNumericalSemigroup}, \hyperpage{12} \item \texttt {IsMonomialNumericalSemigroup}, \hyperpage{36} \item \texttt {IsNumericalSemigroup}, \hyperpage{11} \item \texttt {IsNumericalSemigroupByAperyList}, \hyperpage{11} \item \texttt {IsNumericalSemigroupByFundamentalGaps}, \hyperpage{12} \item \texttt {IsNumericalSemigroupByGaps}, \hyperpage{12} \item \texttt {IsNumericalSemigroupByGenerators}, \hyperpage{11} \item \texttt {IsNumericalSemigroupByInterval}, \hyperpage{11} \item \texttt {IsNumericalSemigroupByMinimalGenerators}, \hyperpage{11} \item \texttt {IsNumericalSemigroupByOpenInterval}, \hyperpage{11} \item \texttt {IsNumericalSemigroupBySmallElements}, \hyperpage{12} \item \texttt {IsNumerical}\discretionary {-}{}{}\texttt {Semigroup}\discretionary {-}{}{}\texttt {By}\discretionary {-}{}{}\texttt {Sub}\discretionary {-}{}{}\texttt {Additive}\discretionary {-}{}{}\texttt {Function}, \hyperpage{11} \item \texttt {IsProportionally}\discretionary {-}{}{}\texttt {Modular}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{12} \item \texttt {IsPseudoSymmetricNumericalSemigroup}, \hyperpage{26} \item \texttt {IsSubsemigroupOfNumericalSemigroup}, \hyperpage{13} \item \texttt {IsSymmetricNumericalSemigroup}, \hyperpage{26} \indexspace \item \texttt {Lengths}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Factorizations}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {W}\discretionary {-}{}{}\texttt {R}\discretionary {-}{}{}\texttt {T}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{41} \indexspace \item \texttt {MaximalIdealOfNumericalSemigroup}, \hyperpage{34} \item \texttt {Maximum}\discretionary {-}{}{}\texttt {Degree}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Element}\discretionary {-}{}{}\texttt {W}\discretionary {-}{}{}\texttt {R}\discretionary {-}{}{}\texttt {T}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{42} \item \texttt {MEDNumericalSemigroupClosure}, \hyperpage{38} \item \texttt {MicroInvariantsOfNumericalSemigroup}, \hyperpage{34} \item \texttt {Minimal}\discretionary {-}{}{}\texttt {Arf}\discretionary {-}{}{}\texttt {Generating}\discretionary {-}{}{}\texttt {System}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Arf}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{39} \item \texttt {Minimal}\discretionary {-}{}{}\texttt {Generating}\discretionary {-}{}{}\texttt {System}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Ideal}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{29} \item \texttt {Minimal}\discretionary {-}{}{}\texttt {Generating}\discretionary {-}{}{}\texttt {System}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{15} \item \texttt {Minimal}\discretionary {-}{}{}\texttt {M}\discretionary {-}{}{}\texttt {E}\discretionary {-}{}{}\texttt {D}\discretionary {-}{}{}\texttt {Generating}\discretionary {-}{}{}\texttt {System}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {M}\discretionary {-}{}{}\texttt {E}\discretionary {-}{}{}\texttt {D}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{38} \item \texttt {MinimalPresentationOfNumericalSemigroup}, \hyperpage{19} \item \texttt {ModularNumericalSemigroup}, \hyperpage{10} \item \texttt {MultipleOfIdealOfNumericalSemigroup}, \hyperpage{31} \item \texttt {MultiplicityOfNumericalSemigroup}, \hyperpage{15} \indexspace \item \texttt {NumericalSemigroup}, \hyperpage{9} \item \texttt {NumericalSemigroupByAperyList}, \hyperpage{11} \item \texttt {NumericalSemigroupByFundamentalGaps}, \hyperpage{11} \item \texttt {NumericalSemigroupByGaps}, \hyperpage{11} \item \texttt {NumericalSemigroupByGenerators}, \hyperpage{11} \item \texttt {NumericalSemigroupByInterval}, \hyperpage{11} \item \texttt {NumericalSemigroupByMinimalGenerators}, \hyperpage{11} \item \texttt {NumericalSemigroupByMinimalGeneratorsNC}, \hyperpage{11} \item \texttt {NumericalSemigroupByOpenInterval}, \hyperpage{11} \item \texttt {NumericalSemigroupBySmallElements}, \hyperpage{11} \item \texttt {NumericalSemigroupBySubAdditiveFunction}, \hyperpage{11} \item \texttt {NumericalSemigroupsWithFrobeniusNumber}, \hyperpage{23} \item \texttt {NumericalSemigroupsWithGenus}, \hyperpage{23} \indexspace \item \texttt {OverSemigroupsNumericalSemigroup}, \hyperpage{23} \indexspace \item \texttt {ProportionallyModularNumericalSemigroup}, \hyperpage{10} \item \texttt {PseudoFrobeniusOfNumericalSemigroup}, \hyperpage{17} \indexspace \item \texttt {QuotientOfNumericalSemigroup}, \hyperpage{22} \indexspace \item \texttt {RandomListForNS}, \hyperpage{45} \item \texttt {Random}\discretionary {-}{}{}\texttt {List}\discretionary {-}{}{}\texttt {Representing}\discretionary {-}{}{}\texttt {Sub}\discretionary {-}{}{}\texttt {Additive}\discretionary {-}{}{}\texttt {Function}, \hyperpage{46} \item \texttt {RandomModularNumericalSemigroup}, \hyperpage{45} \item \texttt {RandomNumericalSemigroup}, \hyperpage{45} \item \texttt {Random}\discretionary {-}{}{}\texttt {Proportionally}\discretionary {-}{}{}\texttt {Modular}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{46} \item \texttt {ReductionNumberIdealNumericalSemigroup}, \hyperpage{33} \item \texttt {Remove}\discretionary {-}{}{}\texttt {Minimal}\discretionary {-}{}{}\texttt {Generator}\discretionary {-}{}{}\texttt {From}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{21} \item \texttt {RepresentsGapsOfNumericalSemigroup}, \hyperpage{12} \item \texttt {RepresentsPeriodicSubAdditiveFunction}, \hyperpage{44} \item \texttt {Represents}\discretionary {-}{}{}\texttt {Small}\discretionary {-}{}{}\texttt {Elements}\discretionary {-}{}{}\texttt {Of}\discretionary {-}{}{}\texttt {Numerical}\discretionary {-}{}{}\texttt {Semigroup}, \hyperpage{12} \indexspace \item \texttt {SmallElementsOfIdealOfNumericalSemigroup}, \hyperpage{30} \item \texttt {SmallElementsOfNumericalSemigroup}, \hyperpage{16} \item \texttt {SpecialGapsOfNumericalSemigroup}, \hyperpage{18} \item \texttt {SubtractIdealsOfNumericalSemigroup}, \hyperpage{31} \item \texttt {SumIdealsOfNumericalSemigroup}, \hyperpage{31} \indexspace \item \texttt {TameDegreeOfNumericalSemigroup}, \hyperpage{42} \item \texttt {TranslationOfIdealOfNumericalSemigroup}, \hyperpage{32} \indexspace \item \texttt {XNumericalSemigroup}, \hyperpage{47} \end{theindex}