Lattice may refer to:

Arts and design

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 &nda ...

, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material *

Lattice (music) In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional pattern. Each point on the lattice corresponds to a ratio (i.e., a pitch, or an int ...

, 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 Lattice Group plc was a leading British gas transmission business. It was listed on the London Stock Exchange and was a constituent of the FTSE 100 Index. History The Company was established in 2000 when BG Group demerged its UK gas transmissi ...

, a former British gas transmission business *

Lattice Semiconductor Lattice Semiconductor Corporation is an American semiconductor company specializing in the design and manufacturing of low power, field-programmable gate arrays (FPGAs). Headquartered in the Silicon Forest area of Hillsboro, Oregon, the company ...

, a US-based integrated circuit manufacturer

Science, technology, and mathematics

Mathematics

Lattice (group) In geometry and group theory, a lattice in the real coordinate space \mathbb^n is an infinite set of points in this space with the properties that coordinate wise addition or subtraction of two points in the lattice produces another lattice poi ...

, a repeating arrangement of points **

Lattice (discrete subgroup) In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of R''n'', this amounts to the ...

, a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure **

Lattice (module) In mathematics, in the field of ring theory, a lattice is a module (mathematics), module over a ring (mathematics), ring which is embedding, embedded in a vector space over a field (mathematics), field, giving an algebraic generalisation of the way ...

, a module over a ring which is embedded in a vector space over a field **

Lattice graph In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space , forms a regular tiling. This implies that the group of bijective transformations that send the graph to itself is a latti ...

, a graph that can be drawn within a repeating arrangement of points **

Lattice-based cryptography Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or in the security proof. Lattice-based constructions are currently important candidates for pos ...

, encryption systems based on repeating arrangements of points *

Lattice (order) A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bou ...

, a partially ordered set with unique least upper bounds and greatest lower bounds **

Lattice-based access control In computer security, lattice-based access control (LBAC) is a complex access control model based on the interaction between any combination of objects (such as resources, computers, and applications) and subjects (such as individuals, groups or org ...

, computer security systems based on partially ordered access privileges ** Skew lattice, a non-commutative generalization of order-theoretic lattices *

Lattice multiplication Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two mult ...

, a multiplication algorithm suitable for hand calculation

Other uses in science and technology

Bethe lattice In statistical mechanics and mathematics, the Bethe lattice (also called a regular tree) is an infinite connected cycle-free graph where all vertices have the same number of neighbors. The Bethe lattice was introduced into the physics literature ...

, a regular infinite tree structure used in statistical mechanics *

Crystal lattice In geometry and crystallography, a Bravais lattice, named after , is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by : \mathbf = n_1 \mathbf_1 + n_2 \mathbf_2 + n ...

Bravais lattice In geometry and crystallography, a Bravais lattice, named after , is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by : \mathbf = n_1 \mathbf_1 + n_2 \mathbf_2 + n_ ...

, a repetitive arrangement of atoms *

Lattice C The Lattice C Compiler was released in June 1982 by Lifeboat Associates and was the first C compiler for the IBM Personal Computer. The compiler sold for $500 and would run on PC DOS or MS-DOS (which at the time were the same product with differen ...

, a compiler for the C programming language *

Lattice mast Lattice masts, or cage masts, or basket masts, are a type of observation mast common on United States Navy major warships in the early 20th century. They are a type of hyperboloid structure, whose weight-saving design was invented by the Russian ...

, a type of observation mast common on major warships in the early 20th century *

Lattice model (physics) In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of cond ...

, a model defined not on a continuum, but on a grid *

Lattice tower A lattice tower or truss tower is a freestanding vertical framework tower. This construction is widely used in transmission towers carrying high voltage electric power lines, in radio masts and towers (a self-radiating tower or as a support for a ...

, or truss tower is a type of freestanding framework tower *

Lattice truss bridge A lattice bridge is a form of truss bridge that uses many small, closely spaced diagonal elements forming a lattice. The lattice Truss Bridge was patented in 1820 by architect Ithiel Town. Originally a design to allow a substantial bridge to be ma ...

, a type of truss bridge that uses many closely spaced diagonal elements

Other uses

Lattice model (finance) In finance, a lattice model is a technique applied to the valuation of derivatives, where a discrete time model is required. For equity options, a typical example would be pricing an American option, where a decision as to option exercise is re ...