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

addition Addition (usually signified by the Plus and minus signs#Plus sign, plus symbol ) is one of the four basic Operation (mathematics), operations of arithmetic, the other three being subtraction, multiplication and Division (mathematics), division. ...

. Sum can also refer to:

Mathematics

Sum (category theory) In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces, the free product of groups, and the direct sum of modules and vector spaces. The coproduc ...

, the generic concept of summation in mathematics * Sum, the result of

summation In mathematics, summation is the addition of a sequence of any kind of numbers, called ''addends'' or ''summands''; the result is their ''sum'' or ''total''. Beside numbers, other types of values can be summed as well: functions, vectors, mat ...

, 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

Places

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

Other uses