Completeness
Wikimedia disambiguation page
Complete may refer to:
Logic
Completeness (logic)
Completeness of a theory, the property of a theory that every formula in the theory's language or its negation is provable
Gödel's completeness theorem, correspondence between semantic truth and syntactic provability in first-order logic
Gödel's incompleteness theorems, limits of provability in formal axiomatic theories
Mathematics
The completeness of the real numbers, which implies that there are no "gaps" in the real numbers
Complete metric space, a metric space in which every Cauchy sequence converges
Complete uniform space, a uniform space where every Cauchy net in converges (or equivalently every Cauchy filter converges)
Complete measure, a measure space where every subset of every null set is measurable
Completion (algebra), at an ideal
Completeness (cryptography)
Completeness (statistics), a statistic that does not allow an unbiased estimator of zero
Complete graph, an undirected graph in which every pair of vertices has exactly one edge connecting them
Complete tree (abstract data type), a tree with every level filled, except possibly the last
Complete category, a category C where every diagram from a small category to C has a limit; it is cocomplete if every such functor has a colimit
Completeness (order theory), a notion that generally refers to the existence of certain suprema or infima of some partially ordered set
Complete variety, an algebraic variety that satisfies an analog of compactness
Complete orthonormal basis—see Orthonormal basis § Orthonormal system
Complete sequence, a type of integer sequence
Ultrafilter on a set § Completeness
Computing
Complete (complexity), a notion referring to a problem in computational complexity theory that all other problems in a class reduce to
Turing complete set, a related notion from recursion theory
Completeness (knowledge bases), found in knowledge base theory
Complete search algorithm, a search algorithm that is guaranteed to find a solution if there is one
Incomplete database, a compact representation of a set of possible worlds
Music
Complete (BtoB album), 2015
Complete (Lila McCann album), 2001
Complete (News from Babel album), 2006
Complete (The Smiths album), 2011
Complete (The Veronicas album), 2009
"Complete" (Jaimeson song), 2003
"Complete", a song by Girls' Generation from Girls' Generation, 2007
"Complete", a song by Kutless from To Know That You're Alive, 2008
"Complete", a song by Mila J, 2006
"Completeness", debut album by fictional music group Ave Mujica, 2025
Completeness, a collection of music videos by Miki Nakatani, 1998
Other uses
Complete set of commuting operators (or CSCO), a set of commuting operators in quantum mechanics whose eigenvalues are sufficient to specify the physical state of a system
Complete flower, a flower with both male and female reproductive structures as well as petals and sepals.
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This entry incorporates text from “Completeness” 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.