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List of partition topics

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Generally, a partition is a division of a whole into non-overlapping parts. Among the kinds of partitions considered in mathematics are

Contents

  • a partition of a set or an ordered partition of a set,
  • a partition of a graph,
  • a partition of an integer,
  • a partition of an interval,
  • a partition of unity,
  • a partition of a matrix; see block matrix, and
  • a partition of the sum of squares in statistics problems, especially in the analysis of variance,
  • quotition and partition, two ways of viewing the operation of division of integers.

    • Integer partitions

  • Composition (number theory)
  • Ewens's sampling formula
  • Ferrers graph
  • Glaisher's theorem
  • Landau's function
  • Partition function (number theory)
  • Pentagonal number theorem
  • Plane partition
  • Quotition and partition
  • Rank of a partition
  • Crank of a partition
  • Solid partition
  • Young tableau
  • Young's lattice

    • Set partitions

  • Bell number
  • Bell polynomials
  • Dobinski's formula
  • Cumulant
  • Data clustering
  • Equivalence relation
  • Exact cover
  • Knuth's Algorithm X
  • Dancing Links
  • Exponential formula
  • Faà di Bruno's formula
  • Feshbach–Fano partitioning
  • Frequency partition
  • Graph partition
  • Kernel of a function
  • Matroid partitioning
  • Multipartition
  • Multiplicative partition
  • Noncrossing partition
  • Ordered partition of a set
  • Partition calculus
  • Partition function (quantum field theory)
  • Partition function (statistical mechanics)
  • Derivation of the partition function
  • Partition of an interval
  • Partition of a set
  • Ordered partition
  • Partition refinement
  • Disjoint-set data structure
  • Partition problem
  • 3-partition problem
  • Partition topology
  • Quotition and partition
  • Recursive partitioning
  • Stirling number
  • Stirling transform
  • Stratification (mathematics)
  • Tverberg partition
  • Twelvefold way

    • In probability and stochastic processes

  • Chinese restaurant process
  • Dobinski's formula
  • Ewens's sampling formula
  • Law of total cumulance

    • Partitions of unity

  • Partition of unity

    • References

    List of partition topics Wikipedia
    (Text) CC BY-SA


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