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Sum

Wikimedia disambiguation page

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General referenceInterpretive dossier study · Crown Archives visual atlas
Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionDec 27, 2024
Entity authorityQ407074
Source-derived summary

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).

Editorial summary

“Sum” enters the record as wikimedia disambiguation page. Crown Archives preserves that source wording while asking what Wikimedia, disambiguation and page can confirm, complicate or overturn.

Editorial reviewA dependable orientation record for establishing vocabulary, names and a first evidence trail. The current lead gives the account dated anchors—2009, 1972—that can be checked directly. The selected authority fields contribute no independent date. Its strongest next move is a source search built around Wikimedia, disambiguation and page.
Editorial analysis

Why this record matters

“Sum” is worth following because a concise public description often conceals a longer documentary argument. Here, Wikimedia, disambiguation and page provides the most credible route into that argument.

Evidence profile

The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Dec 27, 2024. The linked authority identifier is Q407074. None of the 0 selected statements returned an explicit reference. The first chronological checks are 2009 and 1972.

Critical limits

A concise general-reference account can conceal disagreements about scope, terminology or the weight assigned to individual sources. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.

How to read it

Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.

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Source & attribution

This entry incorporates text from Sum” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.