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Combinatorics

Tutorials

  • Combinatorics
  • Combinatorics-1
  • Combinatorics-2

Guides

  • Combinatorics
  • Functions I understand in combinatorics

Tech Notes

  • Combinatorics

Symbols

  • CanonicalMultiset
  • CentralBinomialCoefficient
  • ConjugatePartition
  • DescendingSublists
  • DivisorHasseDiagram
  • DominatingIntegerPartitionQ
  • DurfeeSquare
  • EnumerateMultisetPartialDerangements
  • EulerianCatalanNumber
  • EulerianNumber
  • EulerianNumberOfTheSecondKind
  • FerrersDiagram
  • Fibbinary
  • FibonacciEncode
  • FindAscentElements
  • FindAscentPositions
  • FrobeniusSymbolFromPartition
  • FromInversionVector
  • FromPartitionPlusNotation
  • FromPartitionSuperscriptNotation
  • GaussFactorial
  • GrayCode
  • HasseDiagram
  • HookLengths
  • HuffmanCodeWords
  • HuffmanDecode
  • HuffmanEncode
  • IntegerPartitionQ
  • InverseFibonacci
  • InverseGrayCode
  • InversionCount
  • InversionVectorQ
  • LehmerCodeFromPermutation
  • LucasNumberU1
  • LucasNumberV2
  • ModifiedCentralBinomialCoefficient
  • Multichoose
  • MultisetAssociation
  • MultisetPartialDerangements
  • MultisetStrictDescentElements
  • MultisetStrictDescents
  • NarayanaNumber
  • NextPermutation
  • NumberOfTableaux
  • OrderedTupleFromIndex
  • OrderedTupleIndex
  • OrderlessCombinations
  • OrderlessCombinationsOfUnmarkedElements
  • PartialOrderGraphQ
  • PartitionCrank
  • PartitionFromFrobeniusSymbol
  • PartitionPlusNotation
  • PartitionRank
  • PartitionSuperscriptNotation
  • PermutationAscents
  • PermutationCountByInversions
  • PermutationDescents
  • PermutationFromIndex
  • PermutationGraph
  • PermutationIndex
  • PermutationMajorIndex
  • PermutationToTableaux
  • Phitorial
  • PosetQ
  • PosetToTableau
  • Primorial
  • QExponential
  • QMultinomial
  • RandomYoungTableau
  • RationalNumberRepeatingDecimalPeriod
  • ReflexiveGraphQ
  • SecantNumber
  • SelectPermutations
  • SelectSubsets
  • SelectTuples
  • SelfConjugatePartitionQ
  • SignedLahNumber
  • StandardYoungTableaux
  • StrictIntegerPartitions
  • SubsetFromIndex
  • SubsetIndex
  • TableauQ
  • TableauToPoset
  • TableauxToPermutation
  • TangentNumber
  • ToInversionVector
  • TransitiveGraphQ
  • TransposeTableau
  • TupleFromIndex
  • TupleIndex
  • UnsignedLahNumber
  • YoungDiagram
  • ZeckendorfRepresentation
Functions I understand in combinatorics
These are functions I understand in the paclet.
Functions I understand
CentralBinomialCoefficient
— compute the central binomial coefficient
EnumerateMultisetPartialDerangements
— enumerate a multiset's partial derangements
Multichoose
— compute the multichoose operation
FerrersDiagram
— Display the Ferrers diagram of a partition with dots
PermutationIndex
— Give the lexicographic index of a permutation
PermutationFromIndex
— Give the permutation corresponding to a given length and lexicographic index
MultisetPartialDerangements
— list the partial derangements of a multiset one by one
OrderlessCombinations
— Generate all possible orderless lists of a given length with a given set of elements
OrderlessCombinationsOfUnmarkedElements
— Generate all possible orderless lists of a given length with a given set of unmarked indistinguishable plain unlabeled elements
SelectPermutations
— Get permutations that satisfy a certain criterion
SelectSubsets
— Generate subsets that satisfy a certain criterion
SelectTuples
— Generate tuples that satisfy a certain criterion
CentralBinomialCoefficient
— compute the central binomial coefficient
EulerianCatalanNumber
— compute the Eulerian Catalan number
EulerianNumber
— Get the number of permutations with a given number of ascents
EulerianNumberOfTheSecondKind
— compute the Eulerian number of the second kind
NarayanaNumber
— compute the Narayana number
SignedLahNumber
— compute the signed Lah number
L(n,k)
UnsignedLahNumber
— compute the unsigned Lah number
L(n,k)
InverseFibonacci
— Compute the inverse Fibonacci function
NextPermutation
— Get the next permutation in lexicographic order
PermutationAscents
— Give the indices of a permutation where there is an immediate ascent
GaussFactorial
— compute the Gauss factorial
Phitorial
— compute the phitorial
Primorial
— compute the primorial
LucasNumberU1
— compute the term of the Lucas sequence of the first kind
LucasNumberV2
— compute the term of the Lucas sequence of the second kind
QExponential
— q-exponential
QMultinomial
— q-multinomial
RationalNumberRepeatingDecimalPeriod
— find the period of a repeating decimal of a rational number
TechNotes
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Combinatorics
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Combinatorics
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