Editing Sum

{{Wiktionary|sum}}
'''Sum''' most commonly means the total of two or more numbers added together; see [[addition]].

'''Sum''' can also refer to:

{{TOC right}}

== 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
* [[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 languages|Sumo language]]
* [[Cen (surname)]] 岑, a Chinese surname sometimes romanized as Sum
*[[Shěn (surname)]] 沈, a Chinese surname sometimes romanized as Sum
* ''[[Cogito ergo sum|Cogito, ergo sum]]'',  Latin for: "I think, therefore I am"
* [[Sum certain]], a legal term

==See also==
*[[Addition]]
* [[Additive category]] 
* [[Preadditive category]]


{{disambig}}