ordered lattice

См. также в других словарях:

• ordered lattice — noun : the crystal lattice of a substitutional alloy in which the substituted atoms occur in a regular order of spacing …   Useful english dictionary

• 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

• 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 — 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 group — In mathematics, the term lattice group is used for two distinct notions:* a lattice, a discrete subgroup of R n and its generalizations.* a lattice ordered group, a group that with a partial ordering that is a lattice order …   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

• 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

• 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