Generally, a partition is a division of a whole into non-overlapping parts. Among the kinds of partitions considered in
mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
are
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partition of a set or an
ordered partition of a set,
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partition of a graph,
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partition of an integer,
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partition of an interval,
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partition of unity,
* partition of a matrix; see
block matrix, and
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partition of the sum of squares in
statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
problems, especially in the
analysis of variance
Analysis of variance (ANOVA) is a family of statistical methods used to compare the Mean, means of two or more groups by analyzing variance. Specifically, ANOVA compares the amount of variation ''between'' the group means to the amount of variati ...
,
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quotition and partition, two ways of viewing the operation of division of integers.
Integer partitions
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Composition (combinatorics)
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Ewens's sampling formula
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Ferrers graph
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Glaisher's theorem
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Landau's function
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Partition function (number theory)
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Pentagonal number theorem
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Plane partition
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Quotition and partition
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Rank of a partition
In number theory and combinatorics, the rank of an integer partition is a certain number associated with the partition. In fact at least two different definitions of rank appear in the literature. The first definition, with which most of this ar ...
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Crank of a partition
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Solid partition
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Young tableau
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Young's lattice
Set partitions
{{main, Partition of a set
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Bell number
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Bell polynomials
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Dobinski's formula
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Cumulant
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Data clustering
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Equivalence relation
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Exact cover
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Knuth's Algorithm X
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Dancing Links
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Exponential formula
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Faà di Bruno's formula
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Feshbach–Fano partitioning
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Foliation
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Frequency partition
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Graph partition
In mathematics, a graph partition is the reduction of a Graph (discrete mathematics), graph to a smaller graph by partition of a set, partitioning its set of nodes into mutually exclusive groups. Edges of the original graph that cross between the g ...
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Kernel of a function
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Lamination (topology)
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Matroid partitioning
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Multipartition
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Multiplicative partition In number theory, a multiplicative partition or unordered factorization of an integer n is a way of writing n as a product of integers greater than 1, treating two products as equivalent if they differ only in the ordering of the factors. The number ...
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Noncrossing partition
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Ordered partition of a set
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Partition calculus
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Partition function (quantum field theory)
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Partition function (statistical mechanics)
In physics, a partition function describes the statistics, statistical properties of a system in thermodynamic equilibrium. Partition functions are function (mathematics), functions of the thermodynamic state function, state variables, such a ...
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Derivation of the partition function
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Partition of an interval
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Partition of a set
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Ordered partition
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Partition refinement
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Disjoint-set data structure
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Partition problem
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3-partition problem
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Partition topology
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Quotition and partition
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Recursive partitioning
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Stirling number
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Stirling transform
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Stratification (mathematics)
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Tverberg partition
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Twelvefold way
In probability and stochastic processes
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Chinese restaurant process
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Dobinski's formula
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Ewens's sampling formula
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Law of total cumulance
Partition
Partition topics