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complete and

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  • Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… …   Wikipedia

  • Complete category — In mathematics, a complete category is a category in which all small limits exist. That is, a category C is complete if every diagram F : J → C where J is small has a limit in C. Dually, a cocomplete category is one in which all small… …   Wikipedia

  • Complete measure — In mathematics, a complete measure (or, more precisely, a complete measure space) is a measure space in which every subset of every null set is measurable (having measure zero). More formally, (X, Σ, μ) is complete if and only if… …   Wikipedia

  • Complete bipartite graph — A complete bipartite graph with m = 5 and n = 3 Vertices n + m Edges mn …   Wikipedia

  • Complete graph — K7, a complete graph with 7 vertices Vertices n Edges …   Wikipedia

  • Complete coloring — of the Clebsch graph with 8 colors. Every pair of colors appears on at least one edge. No complete coloring with more colors exists: in any 9 coloring some color would appear only at one vertex, and there would not be enough neighboring vertices… …   Wikipedia

  • Complete — Com*plete (k[o^]m*pl[=e]t ), a. [L. completus, p. p. of complere to fill up; com + plere to fill. See {Full}, a., and cf. {Comply}, {Compline}.] 1. Filled up; with no part or element lacking; free from deficiency; entire; perfect; consummate.… …   The Collaborative International Dictionary of English

  • Complete — Com*plete , v. t. [imp. & p. p. {Completed}; p. pr. & vb. n. {Completing}.] To bring to a state in which there is no deficiency; to perfect; to consummate; to accomplish; to fulfill; to finish; as, to complete a task, or a poem; to complete a… …   The Collaborative International Dictionary of English

  • And Now for Something Completely Different — DVD cover Directed by Ian MacNaughton Produced by …   Wikipedia

  • Complete lattice — In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Complete lattices appear in many applications in mathematics and computer science. Being a special instance of… …   Wikipedia

  • Complete partial order — In mathematics, directed complete partial orders and ω complete partial orders (abbreviated to dcpo, ωcpo or sometimes just cpo) are special classes of partially ordered sets, characterized by particular completeness properties. Complete partial… …   Wikipedia

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