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  2. Partition function (number theory) - Wikipedia

    en.wikipedia.org/wiki/Partition_function_(number...

    The values (), …, of the partition function (1, 2, 3, 5, 7, 11, 15, and 22) can be determined by counting the Young diagrams for the partitions of the numbers from 1 to 8. In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n.

  3. Integer partition - Wikipedia

    en.wikipedia.org/wiki/Integer_partition

    The only partition of zero is the empty sum, having no parts. The order-dependent composition 1 + 3 is the same partition as 3 + 1, and the two distinct compositions 1 + 2 + 1 and 1 + 1 + 2 represent the same partition as 2 + 1 + 1. An individual summand in a partition is called a part.

  4. Partition problem - Wikipedia

    en.wikipedia.org/wiki/Partition_problem

    Equal-cardinality partition is a variant in which both parts should have an equal number of items, in addition to having an equal sum. This variant is NP-hard too. [5]: SP12 Proof. Given a standard Partition instance with some n numbers, construct an Equal-Cardinality-Partition instance by adding n zeros. Clearly, the new instance has an equal ...

  5. Balanced number partitioning - Wikipedia

    en.wikipedia.org/wiki/Balanced_number_partitioning

    Balanced number partitioning is a variant of multiway number partitioning in which there are constraints on the number of items allocated to each set. The input to the problem is a set of n items of different sizes, and two integers m, k. The output is a partition of the items into m subsets, such that the number of items in each subset is at ...

  6. Partition of an interval - Wikipedia

    en.wikipedia.org/wiki/Partition_of_an_interval

    A partition of an interval being used in a Riemann sum. The partition itself is shown in grey at the bottom, with the norm of the partition indicated in red. In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x 0, x 1, x 2, …, x n of real numbers such that a = x 0 < x 1 < x 2 < … < x n = b.

  7. Partition of a set - Wikipedia

    en.wikipedia.org/wiki/Partition_of_a_set

    (Note: this is the partition, not a member of the partition.) For any non-empty set X, P = { X} is a partition of X, called the trivial partition. Particularly, every singleton set {x} has exactly one partition, namely { {x} }. For any non-empty proper subset A of a set U, the set A together with its complement form a partition of U, namely ...

  8. Partition (database) - Wikipedia

    en.wikipedia.org/wiki/Partition_(database)

    A partition is a division of a logical database or its constituent elements into distinct independent parts. Database partitioning refers to intentionally breaking a large database into smaller ones for scalability purposes, distinct from network partitions which are a type of network fault between nodes. [1]

  9. List of disk partitioning software - Wikipedia

    en.wikipedia.org/wiki/List_of_disk_partitioning...

    KDE Partition Manager: Volker Lanz Free software Yes Linux Logical Disk Manager: Microsoft Proprietary software Yes Windows NT family: MiniTool Partition Wizard: MiniTool Solution Freeware Yes Microsoft Windows: August 15, 2023 ntfsresize: Szabolcs Szakacsits Free software Yes Linux: Parted Magic: Parted Magic LLC Proprietary software Yes Linux ...