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lattice ordering

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  • 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

  • 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 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

  • 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

  • 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

  • Free lattice — In mathematics, in the area of order theory, a free lattice is the free object corresponding to a lattice. As free objects, they have the universal property. The word problem for free lattices is also challenging.Formal definitionAny set X may be …   Wikipedia

  • Cu-Pt type ordering in III-V semiconductor — One of the most studied atomic ordering is CuPt type ordering in III V semiconductor alloy. It occurs in III V alloy when the cation planes take an alternate sequence of A rich and B rich plane following AxB1 xC. The resulting structure is… …   Wikipedia

  • Post's lattice — In logic and universal algebra, Post s lattice denotes the lattice of all clones on a two element set {0, 1}, ordered by inclusion. It is named for Emil Post, who published a complete description of the lattice in 1941 [E. L. Post, The two valued …   Wikipedia

  • Metallic hydrogen — Some gas giants have metallic hydrogen in their centers Metallic hydrogen is a state of hydrogen which results when it is sufficiently compressed and undergoes a phase transition; it is an example of degenerate matter. Solid metallic hydrogen is… …   Wikipedia

  • Pinning points — In a crystalline material, a dislocation is capable of traveling throughout the lattice when relatively small stresses are applied. This movement of dislocations results in the material plastically deforming. Pinning points in the material act to …   Wikipedia

  • crystal — crystallike, adj. /kris tl/, n., adj., v., crystaled, crystaling or (esp. Brit.) crystalled, crystalling. n. 1. a clear, transparent mineral or glass resembling ice. 2. the transparent form of crystallized quartz. 3. Chem., Mineral. a solid body… …   Universalium

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