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Lattice Models
Lattice may refer to: Arts and design * Latticework, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material * Lattice (music), an organized grid model of pitch ratios * Lattice (pastry), an ornamental pattern of crossing strips of pastry Companies * Lattice Engines, a technology company specializing in business applications for marketing and sales * Lattice Group, a former British gas transmission business * Lattice Semiconductor, a US-based integrated circuit manufacturer Science, technology, and mathematics Mathematics * Lattice (group), a repeating arrangement of points ** Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure ** Lattice (module), a module over a ring that is embedded in a vector space over a field ** Lattice graph, a graph that can be drawn within a repeating arrangement of points ** Lattice-based cryptography, encryp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Latticework
__NOTOC__ Latticework is an openwork framework consisting of a criss-crossed pattern of strips of building material, typically wood or metal. The design is created by crossing the strips to form a grid or weave. Latticework may be functional – for example, to allow airflow to or through an area; structural, as a truss in a lattice girder; used to add privacy, as through a lattice screen; purely ornament (art), decorative; or some combination of these. Latticework in stone or wood from the Classical antiquity, classical period is also called Roman lattice or ''transenna'' (plural ''transenne''). In India, the house of a rich or noble person may be built with a ''baramdah'' or verandah surrounding every level leading to the living area. The upper floors often have balconies overlooking the street that are shielded by latticed screens carved in stone called jalis which keep the area cool and give privacy. Examples File:Amber Fort Screen (6652771501).jpg, Lattice screen at A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Skew Lattice
In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice (order), lattice. While the term ''skew lattice'' can be used to refer to any non-commutative generalization of a lattice, since 1989 it has been used primarily as follows. Definition A skew lattice is a Set (mathematics), set ''S'' equipped with two associative, idempotent binary operations \wedge and \vee, called ''meet'' and ''join'', that validate the following dual pair of absorption laws x\wedge (x\vee y) = x = (y\vee x)\wedge x , x\vee (x\wedge y) = x = (y\wedge x)\vee x . Given that \vee and \wedge are associative and idempotent, these identities are equivalent to validating the following dual pair of statements: x\vee y= x if and only if x\wedge y=y, x\wedge y=x if and only if x\vee y=y. Historical background For over 60 years, noncommutative variations of lattices have been studied with differing motivations. For some the motivation has been an int ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grid (other)
Grid, The Grid, or GRID may refer to: Space partitioning * Regular grid, a tessellation of space with translational symmetry, typically formed from parallelograms or higher-dimensional analogs ** Grid graph, a graph structure with nodes connected in a regular grid ** Square grid, a grid of squares ** Triangular grid, a grid of triangles ** Hexagonal grid, a grid of hexagons ** Unstructured grid, a tessellation of a space by simple shapes such as triangles or tetrahedra in an irregular pattern * Grid reference system, a coordinate system relative to a particular map projection * Grid (spatial index), a discretization of a geometric domain into a set of contiguous cells, used to organize information ** Discrete global grid (DGG), a grid that covers the entire Earth's surface * Grid (graphic design) (or typographic grid), organized lines for guiding graphic design * Grid plan, a city design with streets running at right angles * Grid paper, paper with a regular grid printe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lattice Model (finance)
In quantitative finance, a lattice model is a numerical approach to the valuation of derivatives in situations requiring a discrete time model. For dividend paying equity options, a typical application would correspond to the pricing of an American-style option, where a decision to exercise is allowed at the closing of any calendar day up to the maturity. A continuous model, on the other hand, such as the standard Black–Scholes one, would only allow for the valuation of European options, where exercise is limited to the option's maturity date. For interest rate derivatives lattices are additionally useful in that they address many of the issues encountered with continuous models, such as pull to par. The method is also used for valuing certain exotic options, because of path dependence in the payoff. Traditional Monte Carlo methods for option pricing fail to account for optimal decisions to terminate the derivative by early exercise, but some methods now exist for so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lattice Truss Bridge
A lattice truss bridge is a form of truss bridge that uses many small, closely spaced diagonal elements forming a latticework, lattice. The design was patented in 1820 by architect Ithiel Town. Originally a means of erecting a substantial bridge from mere planks employing lower–skilled labor, rather than heavy timbers and more expensive carpenters and equipment, the lattice truss has also been constructed using many relatively light iron or steel members. The individual elements are more easily handled by the construction workers, but the bridge also requires substantial support during construction. A simple lattice truss will transform the applied loads into a thrust, as the bridge will tend to change length under load. This is resisted by pinning the lattice members to the top and bottom chords, which are more substantial than the lattice members, but which may also be fabricated from relatively small elements rather than large beams. Belfast truss The ''Belfast truss'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
