\indexentry{ResidueClass@\texttt  {ResidueClass}!by ring, modulus and residue|hyperpage}{4}
\indexentry{ResidueClass@\texttt  {ResidueClass}!by modulus and residue|hyperpage}{4}
\indexentry{ResidueClass@\texttt  {ResidueClass}!by residue and modulus|hyperpage}{4}
\indexentry{IsResidueClass@\texttt{IsResidueClass}|hyperpage}{4}
\indexentry{Modulus@\texttt{Modulus}!of a residue class|hyperpage}{4}
\indexentry{Residue@\texttt{Residue}!of a residue class|hyperpage}{4}
\indexentry{ResidueClassUnion@\texttt  {ResidueClassUnion}!by ring, modulus and residues|hyperpage}{4}
\indexentry{ResidueClassUnion@\texttt  {ResidueClassUnion}!by ring, modulus, residues and included / excluded elements|hyperpage}{4}
\indexentry{ResidueClassUnion@\texttt  {ResidueClassUnion}!by ring and list of classes|hyperpage}{4}
\indexentry{ResidueClassUnion@\texttt  {ResidueClassUnion}!by ring, list of classes and included / excluded elements|hyperpage}{4}
\indexentry{StandardRep@\texttt{StandardRep}!for a residue class union|hyperpage}{5}
\indexentry{SparseRep@\texttt{SparseRep}!for a residue class union|hyperpage}{5}
\indexentry{residue class union@residue class union!definition|hyperpage}{5}
\indexentry{Modulus@\texttt{Modulus}!of a residue class union|hyperpage}{5}
\indexentry{Residues@\texttt{Residues}!of a residue class union|hyperpage}{5}
\indexentry{IncludedElements@\texttt{IncludedElements}!of a residue class union|hyperpage}{5}
\indexentry{ExcludedElements@\texttt{ExcludedElements}!of a residue class union|hyperpage}{5}
\indexentry{ResidueClassUnionViewingFormat@\texttt{ResidueClassUnionViewingFormat}|hyperpage}{5}
\indexentry{AllResidueClassesModulo@\texttt  {AllResidueClassesModulo}!of a given ring, modulo a given modulus|hyperpage}{5}
\indexentry{AllResidueClassesModulo@\texttt  {AllResidueClassesModulo}!by modulus, of the default ring of that modulus|hyperpage}{5}
\indexentry{AllResidues@\texttt{AllResidues}!for ring and modulus|hyperpage}{5}
\indexentry{NumberOfResidues@\texttt{NumberOfResidues}!for ring and modulus|hyperpage}{5}
\indexentry{NrResidues@\texttt{NrResidues}!for ring and modulus|hyperpage}{5}
\indexentry{Print@\texttt{Print}!for a residue class union|hyperpage}{6}
\indexentry{String@\texttt{String}!for a residue class union|hyperpage}{6}
\indexentry{Display@\texttt{Display}!for a residue class union|hyperpage}{6}
\indexentry{Union@\texttt{Union}!for residue class unions|hyperpage}{6}
\indexentry{Intersection@\texttt{Intersection}!for residue class unions|hyperpage}{6}
\indexentry{Difference@\texttt{Difference}!for residue class unions|hyperpage}{6}
\indexentry{IsSubset@\texttt{IsSubset}!for residue class unions|hyperpage}{6}
\indexentry{SplittedClass@\texttt  {SplittedClass}!for a residue class and a number of parts|hyperpage}{7}
\indexentry{AsUnionOfFewClasses@\texttt  {AsUnionOfFewClasses}!for a residue class union|hyperpage}{7}
\indexentry{PartitionsIntoResidueClasses@\texttt  {PartitionsIntoResidueClasses}!of a given ring, of given length|hyperpage}{8}
\indexentry{PartitionsIntoResidueClasses@\texttt  {PartitionsIntoResidueClasses}!of a given ring, of given length, with moduli with given factors|hyperpage}{8}
\indexentry{RandomPartitionIntoResidueClasses@\texttt  {RandomPartitionIntoResidueClasses}!of a given ring, of given length|hyperpage}{8}
\indexentry{CoverByResidueClasses@\texttt  {CoverByResidueClasses}!of the integers, by residue classes with given moduli|hyperpage}{8}
\indexentry{CoversByResidueClasses@\texttt  {CoversByResidueClasses}!of the integers, by residue classes with given moduli|hyperpage}{8}
\indexentry{Density@\texttt  {Density}!of a residue class union|hyperpage}{9}
\indexentry{Iterator@\texttt{Iterator}!for a residue class union|hyperpage}{9}
\indexentry{NextIterator@\texttt{NextIterator}!for an iterator of a residue class union|hyperpage}{9}
\indexentry{IsResidueClassUnion@\texttt  {IsResidueClassUnion}|hyperpage}{11}
\indexentry{IsResidueClassUnionOfZ@\texttt  {IsResidueClassUnionOfZ}|hyperpage}{11}
\indexentry{IsResidueClassUnionOfZxZ@\texttt  {IsResidueClassUnionOfZxZ}|hyperpage}{11}
\indexentry{IsResidueClassUnionOfZ{\textunderscore }pi@\texttt  {IsResidue}\-\texttt  {Class}\-\texttt  {Union}\-\texttt  {Of}\-\texttt  {Z{\textunderscore }pi}|hyperpage}{11}
\indexentry{IsResidueClassUnionOfGFqx@\texttt  {IsResidueClassUnionOfGFqx}|hyperpage}{11}
\indexentry{IsResidueClassUnionOfZ_pi@\texttt{IsResidueClassUnionOfZ{\textunderscore}pi}|hyperpage}{11}
\indexentry{IsResidueClassUnionResidueListRep@\texttt{IsResidueClassUnionResidueListRep}|hyperpage}{11}
\indexentry{ExtRepOfObj@\texttt{ExtRepOfObj}|hyperpage}{11}
\indexentry{ObjByExtRep@\texttt{ObjByExtRep}|hyperpage}{11}
\indexentry{ResidueClassUnionsFamily@\texttt  {ResidueClassUnionsFamily}!of a ring|hyperpage}{11}
\indexentry{ResidueClassUnionsFamily@\texttt  {ResidueClassUnionsFamily}!of a ring, with fixed representatives|hyperpage}{11}
\indexentry{residue class union@residue class union!coercion|hyperpage}{11}
\indexentry{ResidueClassWithFixedRepresentative@\texttt  {ResidueClassWithFixedRepresentative}!by ring, modulus and residue|hyperpage}{12}
\indexentry{ResidueClassWithFixedRepresentative@\texttt  {ResidueClassWithFixedRepresentative}!of Z, by modulus and residue|hyperpage}{12}
\indexentry{IsResidueClassWithFixedRep@\texttt{IsResidueClassWithFixedRep}|hyperpage}{12}
\indexentry{UnionOfResidueClassesWithFixedReps@\texttt  {UnionOfResidueClassesWithFixedReps}!by ring and list of classes|hyperpage}{12}
\indexentry{UnionOfResidueClassesWithFixedReps@\texttt  {UnionOfResidueClassesWithFixedReps}!of Z, by list of classes|hyperpage}{12}
\indexentry{Modulus@\texttt{Modulus}!of a union of residue classes with fixed rep's|hyperpage}{13}
\indexentry{Classes@\texttt{Classes}!of a union of residue classes with fixed rep's|hyperpage}{13}
\indexentry{AsListOfClasses@\texttt{AsListOfClasses}!for a union of residue classes with fixed rep's|hyperpage}{13}
\indexentry{AllResidueClassesWithFixedRepsModulo@\texttt  {All}\-\texttt  {Residue}\-\texttt  {Classes}\-\texttt  {With}\-\texttt  {Fixed}\-\texttt  {Reps}\-\texttt  {Modulo}!by ring and modulus|hyperpage}{13}
\indexentry{AllResidueClassesWithFixedRepsModulo@\texttt  {All}\-\texttt  {Residue}\-\texttt  {Classes}\-\texttt  {With}\-\texttt  {Fixed}\-\texttt  {Reps}\-\texttt  {Modulo}!by modulus, of the default ring of that modulus|hyperpage}{13}
\indexentry{Multiplicity@\texttt  {Multiplicity}!of an element in a union of residue classes with fixed rep's|hyperpage}{13}
\indexentry{Multiplicity@\texttt  {Multiplicity}!of a residue class in a union of residue classes with fixed rep's|hyperpage}{13}
\indexentry{Density@\texttt{Density}!of a union of residue classes with fixed rep's|hyperpage}{14}
\indexentry{IsOverlappingFree@\texttt{IsOverlappingFree}!for a union of residue classes with fixed rep's|hyperpage}{14}
\indexentry{AsOrdinaryUnionOfResidueClasses@\texttt{AsOrdinaryUnionOfResidueClasses}!for a union of residue classes with fixed rep's|hyperpage}{14}
\indexentry{Union@\texttt  {Union}!for unions of residue classes with fixed representatives|hyperpage}{15}
\indexentry{Intersection@\texttt  {Intersection}!for unions of residue classes with fixed representatives|hyperpage}{15}
\indexentry{Difference@\texttt  {Difference}!for unions of residue classes with fixed representatives|hyperpage}{15}
\indexentry{Delta@\texttt  {Delta}!for a union of residue classes with fixed representatives|hyperpage}{16}
\indexentry{Rho@\texttt{Rho}!for a union of residue classes with fixed rep's|hyperpage}{16}
\indexentry{RepresentativeStabilizingRefinement@\texttt  {RepresentativeStabilizingRefinement}!of a union of res.-classes with fixed rep's|hyperpage}{16}
\indexentry{Z{\textunderscore }pi@\texttt  {Z{\textunderscore }pi}!by set of non-invertible primes|hyperpage}{17}
\indexentry{Z{\textunderscore }pi@\texttt  {Z{\textunderscore }pi}!by non-invertible prime|hyperpage}{17}
\indexentry{IsZ_pi@\texttt{IsZ{\textunderscore}pi}|hyperpage}{17}
\indexentry{NoninvertiblePrimes@\texttt{NoninvertiblePrimes}!of a semilocalization of Z|hyperpage}{17}
\indexentry{StandardAssociate@\texttt{StandardAssociate}!of an element of a semilocalization of Z|hyperpage}{17}
\indexentry{Gcd@\texttt{Gcd}!of elements of a semilocalization of Z|hyperpage}{17}
\indexentry{Lcm@\texttt{Lcm}!of elements of a semilocalization of Z|hyperpage}{17}
\indexentry{Factors@\texttt{Factors}!of an element of a semilocalization of Z|hyperpage}{17}
\indexentry{IsUnit@\texttt{IsUnit}!for an element of a semilocalization of Z|hyperpage}{17}
\indexentry{ResClassesTest@\texttt  {ResClassesTest}|hyperpage}{19}
\indexentry{ResClassesTestExamples@\texttt  {ResClassesTestExamples}|hyperpage}{19}
\indexentry{LogToDatedFile@\texttt  {LogToDatedFile}|hyperpage}{20}
\indexentry{DownloadFile@\texttt  {DownloadFile}|hyperpage}{20}
\indexentry{SendEmail@\texttt  {SendEmail}|hyperpage}{20}
\indexentry{EmailLogFile@\texttt  {EmailLogFile}|hyperpage}{20}
\indexentry{SaveAsBitmapPicture@\texttt  {SaveAsBitmapPicture}!picture, filename|hyperpage}{21}
\indexentry{LoadBitmapPicture@\texttt{LoadBitmapPicture}!filename|hyperpage}{21}
\indexentry{DrawLineNC@\texttt  {DrawLineNC}!pic, x1, y1, x2, y2, color, width|hyperpage}{21}
\indexentry{PositionsSublist@\texttt{PositionsSublist}|hyperpage}{21}
\indexentry{EquivalenceClasses@\texttt{EquivalenceClasses}!for a list and a function computing a class invariant|hyperpage}{22}
\indexentry{EquivalenceClasses@\texttt{EquivalenceClasses}!for a list and a function describing an equivalence relation|hyperpage}{22}
\indexentry{GraphClasses@\texttt{GraphClasses}|hyperpage}{22}
\indexentry{AllGraphs@\texttt{AllGraphs}|hyperpage}{22}
\indexentry{IdGraphNC@\texttt{IdGraphNC}|hyperpage}{22}
