- lattice-ordered set
- мат. решеточно упорядоченное множество
Большой англо-русский и русско-английский словарь. 2001.
lattice-ordered set
Смотреть что такое "lattice-ordered set" в других словарях:
Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… … Wikipedia
Lattice — may refer to: In art and design: Latticework an ornamental criss crossed framework, an arrangement of crossing laths or other thin strips of material Lattice (pastry) In engineering: A lattice shape truss structure In mathematics: Lattice (order) … Wikipedia
Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… … Wikipedia
Ordered group — In abstract algebra, an ordered group is a group (G,+) equipped with a partial order ≤ which is translation invariant ; in other words, ≤ has the property that, for all a , b , and g in G , if a ≤ b then a+g ≤ b+g and g+a ≤ g+b . Note that… … Wikipedia
Lattice (mathematics) — In mathematics, the term lattice can mean:* A partially ordered set (poset) in which any two elements have a supremum and an infimum mdash;see lattice (order). The Hasse diagrams of these posets look (in some simple cases) like the lattices of… … Wikipedia
lattice — latticelike, adj. /lat is/, n., v., latticed, latticing. n. 1. a structure of crossed wooden or metal strips usually arranged to form a diagonal pattern of open spaces between the strips. 2. a window, gate, or the like consisting of such a… … Universalium
lattice — lat•tice [[t]ˈlæt ɪs[/t]] n. v. ticed, tic•ing 1) a structure of crossed wooden or metal strips usu. arranged to form a diagonal pattern of open spaces between the strips 2) bui a window, gate, or the like consisting of such a structure 3) cry an … From formal English to slang
Ordered vector space — A point x in R2 and the set of all y such that x≤y (in red). The order here is x≤y if and only if x1 ≤ y1 and x2 ≤ y2. In mathematics an ordered vector space or partially ordered vector space is a vector space equi … Wikipedia
lattice — noun Etymology: Middle English latis, from Anglo French latiz Date: 14th century 1. a. a framework or structure of crossed wood or metal strips b. a window, door, or gate having a lattice c. a network or design resembling a lattice 2. a regular… … New Collegiate Dictionary
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
Distributive lattice — In mathematics, distributive lattices are lattices for which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set… … Wikipedia
