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
Composition (combinatorics) Core partition Ewens's sampling formula Ferrers graph Young tableau Glaisher's theorem Landau's function Multipartition Multiplicative partition Partition function (number theory) Pentagonal number theorem Plane partition Solid partition Quotition and partition Rank of a partition Crank of a partition 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 Foliation Frequency partition Graph partition Kernel of a function Lamination (topology) Matroid partitioning 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 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