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lattice order

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  • 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

  • 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 (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   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 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 gas automaton — Lattice gas automata (LGA) or lattice gas cellular automata (LGCA) methods are a series of cellular automata methods used to simulate fluid flows. It was the precursor to the lattice Boltzmann methods. From the LGCA, it is possible to derive the… …   Wikipedia

  • Lattice based cryptography — is the generic term for asymmetric cryptographic primitives based on lattice. HistoryLattice have first been discovered by mathematicans Lagrange and Gauss. Lattice have been used laterly in computer algorithms and in cryptanalysis. In 1996 Atjai …   Wikipedia

  • Lattice sieving — is a technique for finding smooth values of a bivariate polynomial f(a,b) over a large region. It is almost exclusively used in connection with the number field sieve.The algorithm implicitly involves the ideal structure of the number field of… …   Wikipedia

  • Order (crystal lattice) — Order in a crystal lattice is the arrangement of some property with respect to atomic positions. It arises in charge ordering, spin ordering, magnetic ordering, and compositional ordering. It is a thermodynamic entropy concept often displayed by… …   Wikipedia

  • Order-3 snub heptagonal tiling — Poincaré disk model Type Hyperbolic semiregular tiling Vertex figure 3.3.3.3.7 Schläfli symbol s{7,3} …   Wikipedia

  • Lattice of subgroups — In mathematics, the lattice of subgroups of a group G is the lattice whose elements are the subgroups of G, with the partial order relation being set inclusion.In this lattice, the join of two subgroups is the subgroup generated by their union,… …   Wikipedia

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