This article is about partitions in the mathematical sense. For other uses, see Partition (disambiguation).
Generally, a partition is a division of a whole into non-overlapping parts. Among the kinds of partitions considered in mathematics are
- partition of a set or an ordered partition of a set,
- partition of a graph,
- partition of an integer,
- partition of an interval,
- partition of unity,
- partition of a matrix; see block matrix, and
- 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
Main article: Integer partition- Composition (combinatorics)
- 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
- Solid partition
- Young tableau
- Young's lattice
Set partitions
Main article: Partition of a set- Bell number
- Bell polynomials
- Cumulant
- Data clustering
- Equivalence relation
- Exact cover
- Exponential formula
- Faà di Bruno's formula
- Feshbach–Fano partitioning
- Foliation
- Frequency partition
- Graph partition
- Kernel of a function
- Lamination (topology)
- Matroid partitioning
- Multipartition
- Multiplicative partition
- Noncrossing partition
- Ordered partition of a set
- Partition calculus
- Partition function (quantum field theory)
- Partition function (statistical mechanics)
- Partition of an interval
- Partition of a set
- Partition problem
- Partition topology
- Quotition and partition
- Recursive partitioning
- Stirling number
- Stratification (mathematics)
- Tverberg partition
- Twelvefold way