Sum

Sum most commonly means the total of two or more numbers added together; see addition.

Sum can also refer to:

Mathematics

 * Sum (category theory), the generic concept of summation in mathematics
 * Sum, the result of summation, the addition of a sequence of numbers
 * 3SUM, a term from computational complexity theory
 * Band sum, a way of connecting mathematical knots
 * Connected sum, a way of gluing manifolds
 * Digit sum, in number theory
 * Direct sum, a combination of algebraic objects
 * Direct sum of groups
 * Direct sum of modules
 * Direct sum of permutations
 * Direct sum of topological groups
 * Einstein summation, a way of contracting tensor indices
 * Empty sum, a sum with no terms
 * Indefinite sum, the inverse of a finite difference
 * Kronecker sum, an operation considered a kind of addition for matrices
 * Matrix addition, in linear algebra
 * Minkowski addition, a sum of two subsets of a vector space
 * Power sum symmetric polynomial, in commutative algebra
 * Prefix sum, in computing
 * Pushout (category theory) (also called an amalgamated sum or a cocartesian square, fibered coproduct, or fibered sum), the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domainor pushout, leading to a fibered sum in category theory
 * QCD sum rules, in quantum field theory
 * Riemann sum, in calculus
 * Rule of sum, in combinatorics
 * Subset sum problem, in cryptography
 * Sum rule in differentiation, in calculus
 * Sum rule in integration, in calculus
 * Sum rule in quantum mechanics
 * Wedge sum, a one-point union of topological spaces
 * Whitney sum, of fiber bundles
 * Zero-sum problem in combinatorics

Computing and technology

 * Sum (Unix), a program for generating checksums
 * StartUp-Manager, a program to configure GRUB, GRUB2, Usplash and Splashy
 * Sum type, a computer science term

Art and entertainment

 * Sum, the first beat (pronounced like "some") in any rhythmic cycle of Hindustani classical music
 * "Sum", a song by Pink Floyd from The Endless River
 * Sum: Forty Tales from the Afterlives, a 2009 collection of short stories by David Eagleman
 * Sum 41, a Canadian punk band
 * SUM, the computer in Goat Song (novelette) story by Poul Anderson in Magazine of Fantasy and Science Fiction, (1972).

Organizations

 * Senter for utvikling og miljø (Centre for Development and the Environment), a research institute which is part of the University of Oslo
 * Soccer United Marketing, the for-profit marketing arm of Major League Soccer and the exclusive marketing partner of the United States Soccer Federation
 * Society for the Establishment of Useful Manufactures, a now-defunct private state-sponsored corporation founded in 1791 to promote industrial development along the Passaic River in New Jersey in the United States
 * The State University of Management, a Russian university
 * Save Uganda Movement, a Ugandan militant opposition group
 * Ukrainian Youth Association (Спілка української молоді, Spilka Ukraïns'koï Molodi), a youth organization in Ukraine and countries with a Ukrainian diaspora

Places

 * Sum (administrative division), an administrative division in Mongolia, China, and some areas of Russia
 * Sum (Mongolia), an administrative division of Mongolia
 * SUM, the IATA airport code for the Sumter Airport in Sumter County, South Carolina, U.S.

Other uses

 * Sum, an old name for the Finns in East Slavic languages, derived from the word Suomi, "Finland"
 * Soum (currency) (also spelled "sum"), a unit of currency used in some Turkic-speaking countries of Central Asia
 * SUM (interbank network), an interbank network in 42 U.S. states
 * SUM, the ISO 639-3 code for the Sumo language
 * Cen (surname), sometimes Romanized Sum
 * Cogito, ergo sum, Latin for: "I think, therefore I am"
 * Sum certain, a legal term