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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.
- Partition_(number_theory) wikiPageExternalLink 0909.2331.
- Partition_(number_theory) wikiPageExternalLink Integer::Partition.
- Partition_(number_theory) wikiPageExternalLink 1103044252.
- Partition_(number_theory) wikiPageExternalLink ec.
- Partition_(number_theory) wikiPageExternalLink brunier-ono.pdf.
- Partition_(number_theory) wikiPageExternalLink folsom-kent-ono.pdf.
- Partition_(number_theory) wikiPageExternalLink CountingWithPartitions.html.
- Partition_(number_theory) wikiPageExternalLink PIMSLectures.pdf.
- Partition_(number_theory) wikiPageExternalLink partitions.
- Partition_(number_theory) wikiPageExternalLink partition.htm.
- Partition_(number_theory) wikiPageExternalLink bob9.asp.
- Partition_(number_theory) wikiPageExternalLink partitions.htm.
- Partition_(number_theory) wikiPageExternalLink F49-int-part.pdf.
- Partition_(number_theory) wikiPageID "104790".
- Partition_(number_theory) wikiPageRevisionID "605929890".
- Partition_(number_theory) hasPhotoCollection Partition_(number_theory).
- Partition_(number_theory) id "p/p071740".
- Partition_(number_theory) title "Partition Function P".
- Partition_(number_theory) title "Partition".
- Partition_(number_theory) urlname "Partition".
- Partition_(number_theory) urlname "PartitionFunctionP".
- Partition_(number_theory) subject Category:Arithmetic_functions.
- Partition_(number_theory) subject Category:Combinatorics.
- Partition_(number_theory) subject Category:Integer_sequences.
- Partition_(number_theory) subject Category:Number_theory.
- Partition_(number_theory) type Abstraction100002137.
- Partition_(number_theory) type ArithmeticFunctions.
- Partition_(number_theory) type Arrangement107938773.
- Partition_(number_theory) type Function113783816.
- Partition_(number_theory) type Group100031264.
- Partition_(number_theory) type IntegerSequences.
- Partition_(number_theory) type MathematicalRelation113783581.
- Partition_(number_theory) type Ordering108456993.
- Partition_(number_theory) type Relation100031921.
- Partition_(number_theory) type Sequence108459252.
- Partition_(number_theory) type Series108457976.
- Partition_(number_theory) comment "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.".
- Partition_(number_theory) label "Partición (teoría de números)".
- Partition_(number_theory) label "Partitie (getaltheorie)".
- Partition_(number_theory) label "Partition (number theory)".
- Partition_(number_theory) label "Partition d'un entier".
- Partition_(number_theory) label "Partizione di un intero".
- Partition_(number_theory) label "Разбиение числа".
- Partition_(number_theory) label "تجزئة (نظرية الأعداد)".
- Partition_(number_theory) label "整數分拆".
- Partition_(number_theory) label "自然数の分割".
- Partition_(number_theory) sameAs Partición_(teoría_de_números).
- Partition_(number_theory) sameAs Partition_d'un_entier.
- Partition_(number_theory) sameAs Partizione_di_un_intero.
- Partition_(number_theory) sameAs 自然数の分割.
- Partition_(number_theory) sameAs 자연수_분할.
- Partition_(number_theory) sameAs Partitie_(getaltheorie).
- Partition_(number_theory) sameAs m.0q84w.
- Partition_(number_theory) sameAs Q1082910.
- Partition_(number_theory) sameAs Q1082910.
- Partition_(number_theory) sameAs Partition_(number_theory).
- Partition_(number_theory) wasDerivedFrom Partition_(number_theory)?oldid=605929890.
- Partition_(number_theory) depiction Ferrer_partitioning_diagrams.svg.
- Partition_(number_theory) isPrimaryTopicOf Partition_(number_theory).
