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- Partition_(number_theory) abstract "In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition. (If order matters, the sum becomes a composition.) For example, 4 can be partitioned in five distinct ways:43 + 12 + 22 + 1 + 11 + 1 + 1 + 1The order-dependent composition 1 + 3 is the same partition as 3 + 1, while 1 + 2 + 1 and 1 + 1 + 2 are the same partition as 2 + 1 + 1.A summand in a partition is also called a part. The number of partitions of n is given by the partition function p(n). So p(4) = 5. The notation λ ⊢ n means that λ is a partition of n.Partitions can be graphically visualized with Young diagrams or Ferrers diagrams. They occur in a number of branches of mathematics and physics, including the study of symmetric polynomials, the symmetric group and in group representation theory in general.".
- Partition_(number_theory) thumbnail Ferrer_partitioning_diagrams.svg?width=300.
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- Partition_(number_theory) wikiPageExternalLink Integer::Partition.
- Partition_(number_theory) wikiPageExternalLink brunier-ono.pdf.
- Partition_(number_theory) wikiPageExternalLink folsom-kent-ono.pdf.
- Partition_(number_theory) wikiPageExternalLink www.findstat.org.
- Partition_(number_theory) wikiPageExternalLink IntegerPartitions.
- Partition_(number_theory) wikiPageExternalLink CountingWithPartitions.html.
- Partition_(number_theory) wikiPageExternalLink PIMSLectures.pdf.
- Partition_(number_theory) wikiPageExternalLink 061.pdf.
- Partition_(number_theory) wikiPageExternalLink partitions.
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- Partition_(number_theory) wikiPageExternalLink bob9.asp.
- Partition_(number_theory) wikiPageExternalLink partitions.htm.
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- Partition_(number_theory) wikiPageWikiLink A._O._L._Atkin.
- Partition_(number_theory) wikiPageWikiLink Addition.
- Partition_(number_theory) wikiPageWikiLink Alfred_Young.
- Partition_(number_theory) wikiPageWikiLink American_Mathematical_Society.
- Partition_(number_theory) wikiPageWikiLink Ann._of_Math..
- Partition_(number_theory) wikiPageWikiLink Annals_of_Mathematics.
- Partition_(number_theory) wikiPageWikiLink Asymptotic_analysis.
- Partition_(number_theory) wikiPageWikiLink Asymptotic_expansion.
- Partition_(number_theory) wikiPageWikiLink Asymptotic_formula.
- Partition_(number_theory) wikiPageWikiLink CPAN.
- Partition_(number_theory) wikiPageWikiLink Category:Arithmetic_functions.
- Partition_(number_theory) wikiPageWikiLink Category:Combinatorics.
- Partition_(number_theory) wikiPageWikiLink Category:Integer_sequences.
- Partition_(number_theory) wikiPageWikiLink Category:Number_theory.
- Partition_(number_theory) wikiPageWikiLink Change-making_problem.
- Partition_(number_theory) wikiPageWikiLink Combinatorics.
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- Partition_(number_theory) wikiPageWikiLink Composition_(combinatorics).
- Partition_(number_theory) wikiPageWikiLink Convergent_series.
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- Partition_(number_theory) wikiPageWikiLink Crank_of_a_partition.
- Partition_(number_theory) wikiPageWikiLink Dedekind_eta_function.
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- Partition_(number_theory) wikiPageWikiLink Durfee_square.
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- Partition_(number_theory) wikiPageWikiLink Ewenss_sampling_formula.
- Partition_(number_theory) wikiPageWikiLink Factorization.
- Partition_(number_theory) wikiPageWikiLink Farey_sequence.
- Partition_(number_theory) wikiPageWikiLink Faxc3xa0_di_Brunos_formula.
- Partition_(number_theory) wikiPageWikiLink Ferrers_diagram.
- Partition_(number_theory) wikiPageWikiLink File:Integer_Partition_Table.png.
- Partition_(number_theory) wikiPageWikiLink Ford_circle.
- Partition_(number_theory) wikiPageWikiLink G._H._Hardy.
- Partition_(number_theory) wikiPageWikiLink Gaussian_binomial_coefficient.
- Partition_(number_theory) wikiPageWikiLink Generating_function.
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- Partition_(number_theory) wikiPageWikiLink George_Andrews_(mathematician).
- Partition_(number_theory) wikiPageWikiLink George_E._Andrews.
- Partition_(number_theory) wikiPageWikiLink Glaishers_theorem.
- Partition_(number_theory) wikiPageWikiLink Goldbachs_conjecture.
- Partition_(number_theory) wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Partition_(number_theory) wikiPageWikiLink Group_representation.
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- Partition_(number_theory) wikiPageWikiLink H-index.
- Partition_(number_theory) wikiPageWikiLink Hans_Rademacher.
- Partition_(number_theory) wikiPageWikiLink Integer.
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- Partition_(number_theory) wikiPageWikiLink Irreducible_representation.
- Partition_(number_theory) wikiPageWikiLink J._V._Uspensky.
- Partition_(number_theory) wikiPageWikiLink Kostant_partition_function.
- Partition_(number_theory) wikiPageWikiLink Kostants_partition_function.
- Partition_(number_theory) wikiPageWikiLink Leonhard_Euler.
- Partition_(number_theory) wikiPageWikiLink Marcus_du_Sautoy.
- Partition_(number_theory) wikiPageWikiLink Mathematics.
- Partition_(number_theory) wikiPageWikiLink Memoization.
- Partition_(number_theory) wikiPageWikiLink Modular_form.
- Partition_(number_theory) wikiPageWikiLink Modular_group.
- Partition_(number_theory) wikiPageWikiLink Multipartition.
- Partition_(number_theory) wikiPageWikiLink Multiplicative_partition.
- Partition_(number_theory) wikiPageWikiLink Natural_density.
- Partition_(number_theory) wikiPageWikiLink Newtons_identities.
- Partition_(number_theory) wikiPageWikiLink Norman_Macleod_Ferrers.
- Partition_(number_theory) wikiPageWikiLink Number.
- Partition_(number_theory) wikiPageWikiLink Number_theory.
- Partition_(number_theory) wikiPageWikiLink Oxford_University_Press.
- Partition_(number_theory) wikiPageWikiLink Partial_order.
- Partition_(number_theory) wikiPageWikiLink Partially_ordered_set.
- Partition_(number_theory) wikiPageWikiLink Partition_(number_theory).
- Partition_(number_theory) wikiPageWikiLink Partition_of_a_set.
- Partition_(number_theory) wikiPageWikiLink Paul_Erdős.
- Partition_(number_theory) wikiPageWikiLink Pentagonal_number.
- Partition_(number_theory) wikiPageWikiLink Pentagonal_number_theorem.
- Partition_(number_theory) wikiPageWikiLink Physics.
- Partition_(number_theory) wikiPageWikiLink Plane_partition.
- Partition_(number_theory) wikiPageWikiLink Polite_number.