Partition

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Template:Wiktionarypar Partition may mean: Template:TOCright

Contents 1 Mathematics 2 Physics 3 Chemistry 4 Computer science 5 Political geography 6 Law 7 Music 8 See also

Mathematics

• List of partition topics
• Partition of a set, a collection of non-empty subsets such that every element belongs to one and only one of the subsets
• Integer partition, a way to write a positive integer as a sum of other positive integers
• The partition function (number theory), gives the number of different ways to partition a number
• A partition of unity is a set of functions whose sum is the constant function 1
• Partition of an interval, used in the theory of the Riemann integral and the Riemann-Stieltjes integral

Physics

• Partition function (statistical mechanics).
• Partition function (quantum field theory).

Chemistry

• Nernst partition law

Computer science

• Partition (computing), the dividing of a hard disk's storage space into independent parts
• Partition (mainframe), for dividing a computer into several independent virtual computers
• Partition also refers to an algorithm used in quicksort which separates a list into two sublists, those elements less than or equal to a value and those greater than it. It is also used in selection algorithms.
• Partition (database) for splitting a database.
• Partition problem, an NP-Complete problem that answers the question: "Given a set of integers, does the set contain two independent subsets such that the sum of each subset is equal?"

Political geography

• Partitions of Poland and Poland-Lithuania in the 18th, 19th and 20th centuries
• 1947 UN Partition Plan for Palestine (region)
• Partition of India (Greater India) in 1947 into India proper and Pakistan (including East Pakistan)
• Partition of Ireland in 1921 into the Irish Free State and Northern Ireland
• Partition of Persia
• Treaty of Kars of 1921, which partioned Armenia between Turkey and the Soviet Union (Western and Eastern Armenia)

Law

• Partition (law), to divide up a piece of land into separate portions representing the proportionate interests of the tenants

Music

• In music using the twelve tone technique the use of methods to create segments from sets, most often through registral difference. The opposite of derivation used in derived rows. +
• More generally, in musical set theory partitioning is the division of the domain of pitch class sets into types, such as transpositional type, see equivalence class and cardinality. +
• an old name for types of compositions in several parts; there is no fixed meaning, and in several cases the term was reportedly interchanged with various other terms

See also

• Division (disambiguation)

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