Template:Partitions and compositions

The following wiki links (between horizontal rules) are meant to be transcluded in a == See also == section.

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• Signature permutations for bijections of compositions

• Unordered partitions
  • Partitions and restricted partitions
  • Partition function and restricted partition functions
  • Partition identities
  • Orderings of partitions
  • Multidimensional partitions
    • Partitions (one-dimensional partitions)
    • Plane partitions (two-dimensional partitions)
    • Solid partitions (three-dimensional partitions)

• Ordered partitions
  • Compositions and restricted compositions
  • Composition function and restricted composition functions
  • Composition identities
  • Orderings of compositions
  • Multidimensional compositions
    • Compositions (one-dimensional ordered partitions)
    • Plane compositions (two-dimensional ordered partitions)
    • Solid compositions (three-dimensional ordered partitions)

• Multiplicative partitions (unordered factorizations)
  • Factorizations and restricted factorizations
  • Factorization function and restricted factorization functions

• Multiplicative compositions (ordered factorizations)
  • Ordered factorizations and restricted ordered factorizations
  • Ordered factorization function and restricted ordered factorization functions

• Prime signature (which may be viewed as a given partition of

  Ω (n)

  , the number of prime factors (with repetition) of

  n

  )

• Ordered prime signature (which may be viewed as a given composition of

  Ω (n)

  , the number of prime factors (with repetition) of

  n

  )

• Sets
  • Set partitions
  • Restricted set partitions
  • Set compositions
  • Restricted set compositions

• Multisets
  • Multiset partitions
  • Restricted multiset partitions
  • Multiset compositions
  • Restricted multiset compositions

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