Sum

Sum may refer to:

In mathematics:

• Summation, the addition of a sequence of numbers
• Addition, the elementary mathematical operations of arithmetic that totals amount of quantities combined
• Sum (category theory), the generic concept of summation in mathematics
• Additive and preadditive category
• Band sum, a way of connecting 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 topological groups
  • Direct sum of modules
  • Direct sum of permutations
• Einstein summation, a way of contracting tensor indecies
• Empty sum, a sum with no terms
• Fibered sum or pushout in category theory
• Indefinite sum, the inverse of a finite difference
• Matrix addition, in linear algebra
• QCD sum rules, in quantum field theory
• Power sum, in commutative algebra
• Prefix sum, in computing
• 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
• 3SUM, a term from computational complexity theory

In other areas:

• Sum, an old name for the Finns in East Slavic languages, derived from the word Suomi, "Finland"
• Sum: Forty Tales from the Afterlives, a 2009 collection of short stories by David Eagleman
• Sum (Unix), a program for generating checksums
• Sum (country subdivision), an administrative division in Mongolia and nearby regions
• the local term for one of the districts of Mongolia
• Som (currency), the unit of currency used in Turkic-speaking countries of Central Asia
• the IATA airport code for the Sumter Airport in Sumter County, South Carolina, USA
• the ISO 639-3 code for the Sumo language
• the first beat (pronounced like "some") in any rhythmic cycle of Hindustani classical music
• "Sum", a song by Pink Floyd from The Endless River

As an acronym, SUM may refer to:

• Senter for utvikling og miljø (Centre for Development and the Environment), part of the University of Oslo
• SUM (interbank network)
• Soccer United Marketing
• The State University of Management, a Russian university

See also

• Cogito ergo sum
• Sum 41, a Canadian punk band
• Sum certain, a legal term
• Cen (surname) sometimes romanized Sum