| 释义 |
lattice
lat·tice L0066000 (lăt′ĭs)n.1. a. An open framework made of strips of metal, wood, or similar material overlapped or overlaid in a regular, usually crisscross pattern.b. A structure, such as a window, screen, or trellis, made of or containing such a framework.2. Something, such as a decorative motif or heraldic bearing, that resembles an open, patterned framework.3. Physics a. A regular, periodic configuration of points, particles, or objects throughout an area or a space, especially the arrangement of ions or molecules in a crystalline solid.b. The spatial arrangement of fissionable and nonfissionable materials in a nuclear reactor.tr.v. lat·ticed, lat·tic·ing, lat·tic·es To construct or furnish with a lattice or latticework.
[Middle English latis, from Old French lattis, from latte, lath, of Germanic origin .]
lat′ticed adj.lattice (ˈlætɪs) n1. (Crafts) Also called: latticework an open framework of strips of wood, metal, etc, arranged to form an ornamental pattern2. (Crafts) a. a gate, screen, etc, formed of such a frameworkb. (as modifier): a lattice window. 3. (Art Terms) something, such as a decorative or heraldic device, resembling such a framework4. (Chemistry) an array of objects or points in a periodic pattern in two or three dimensions, esp an array of atoms, ions, etc, in a crystal or an array of points indicating their positions in space. See also Bravais latticevbto make, adorn, or supply with a lattice or lattices[C14: from Old French lattis, from latte lath] ˈlatticed adjlat•tice (ˈlæt ɪs)
n., v. -ticed, -tic•ing. n. 1. a structure of crossed wooden or metal strips usu. arranged to form a diagonal pattern of open spaces between the strips. 2. a window, gate, or the like consisting of such a structure. 3. an arrangement in space of isolated points in a regular pattern, showing the positions of atoms, molecules, or ions in the structure of a crystal. 4. a partially ordered set in which every subset containing exactly two elements has a greatest lower bound or intersection and a least upper bound or union. v.t. 5. to furnish with a lattice or latticework. 6. to form into a lattice. [1350–1400; Middle English latis < Middle French lattis, derivative of latte lath < Germanic; see lath] lat·tice (lăt′ĭs) See under crystal.latticeA network of intersecting positional lines printed on a map or chart from which a fix may be obtained.lattice
Past participle: latticed
Gerund: latticing
| Present |
|---|
| I lattice | | you lattice | | he/she/it lattices | | we lattice | | you lattice | | they lattice |
| Preterite |
|---|
| I latticed | | you latticed | | he/she/it latticed | | we latticed | | you latticed | | they latticed |
| Present Continuous |
|---|
| I am latticing | | you are latticing | | he/she/it is latticing | | we are latticing | | you are latticing | | they are latticing |
| Present Perfect |
|---|
| I have latticed | | you have latticed | | he/she/it has latticed | | we have latticed | | you have latticed | | they have latticed |
| Past Continuous |
|---|
| I was latticing | | you were latticing | | he/she/it was latticing | | we were latticing | | you were latticing | | they were latticing |
| Past Perfect |
|---|
| I had latticed | | you had latticed | | he/she/it had latticed | | we had latticed | | you had latticed | | they had latticed |
| Future |
|---|
| I will lattice | | you will lattice | | he/she/it will lattice | | we will lattice | | you will lattice | | they will lattice |
| Future Perfect |
|---|
| I will have latticed | | you will have latticed | | he/she/it will have latticed | | we will have latticed | | you will have latticed | | they will have latticed |
| Future Continuous |
|---|
| I will be latticing | | you will be latticing | | he/she/it will be latticing | | we will be latticing | | you will be latticing | | they will be latticing |
| Present Perfect Continuous |
|---|
| I have been latticing | | you have been latticing | | he/she/it has been latticing | | we have been latticing | | you have been latticing | | they have been latticing |
| Future Perfect Continuous |
|---|
| I will have been latticing | | you will have been latticing | | he/she/it will have been latticing | | we will have been latticing | | you will have been latticing | | they will have been latticing |
| Past Perfect Continuous |
|---|
| I had been latticing | | you had been latticing | | he/she/it had been latticing | | we had been latticing | | you had been latticing | | they had been latticing |
| Conditional |
|---|
| I would lattice | | you would lattice | | he/she/it would lattice | | we would lattice | | you would lattice | | they would lattice |
| Past Conditional |
|---|
| I would have latticed | | you would have latticed | | he/she/it would have latticed | | we would have latticed | | you would have latticed | | they would have latticed |
Thesaurus| Noun | 1. |  lattice - an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensionsorganization, arrangement, organisation, system - an organized structure for arranging or classifying; "he changed the arrangement of the topics"; "the facts were familiar but it was in the organization of them that he was original"; "he tried to understand their system of classification"Bravais lattice, crystal lattice, space lattice - a 3-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal | | 2. |  lattice - small opening (like a window in a door) through which business can be transactedgrille, wicketopening - a vacant or unobstructed space that is man-made; "they left a small opening for the cat at the bottom of the door"stump - (cricket) any of three upright wooden posts that form the wicket | | 3. |  lattice - framework consisting of an ornamental design made of strips of wood or metalfretwork, latticeworkframework - a structure supporting or containing somethinglath - a narrow thin strip of wood used as backing for plaster or to make latticeworktreillage, trellis - latticework used to support climbing plants |
latticenoun grid, network, web, grating, mesh, grille, trellis, fretwork, tracery, latticework, openwork, reticulation We were crawling along the narrow steel lattice of the bridge.Translationsgratagraticciotralicciokristalroosterroostertralieрешёткаlattice
lattice1. an open framework of strips of wood, metal, etc., arranged to form an ornamental pattern 2. a. a gate, screen, etc., formed of such a framework b. (as modifier): a lattice window 3. something, such as a decorative or heraldic device, resembling such a framework 4. an array of objects or points in a periodic pattern in two or three dimensions, esp an array of atoms, ions, etc., in a crystal or an array of points indicating their positions in space LatticeA network of bars, straps, rods, or laths crossing over and under one another; the result is a rectangular or diagonal checkered pattern, which may be varied by the width of the bands and the spacing of the members  Lattice an algebraic concept. A lattice is a nonempty set S with two binary operations, join and meet, denoted by ⋃ and ⋂, respectively. In other words, to each pair of elements a and b in 5 there is associated a unique element a ⋃ b in S, their join, and a unique element a ⋂ b in 5, their meet. The operations satisfy the following axioms: | (1) associativity | (a ⋃ b) ⋃ c = a ⋃ (b ⋃ c) | | | (a ⋂ b) ⋂ c = a ⋂ (b ⋂ c) | | (2) commutativity | a ⋃ b = b ⋃ a | | | a ⋂ b = b ⋂ a | | (3) absorption | (a ⋃ b) ⋂ a = a | | | (a ⋂ b) ⋃ a = a |
Examples of lattices include the set of positive integers with a ⋂ b the greatest common divisor and a ⋃ b the least common multiple of a and b, the set of all subsets of an arbitrary set with set theoretic union and intersection as the lattice operations, and the set of real numbers with a ⋃ b = max (a, b) and a ⋂ b = min (a, b). Certain lattices satisfying additional requirements have been studied in great detail. Examples of such lattices are distributive lattices, modular (or Dedekind) lattices, and complemented lattices. A very important type of lattice is a Boolean algebra, that is, a distributive lattice with zero and one in which each element has a complement. Boolean algebras play an important role in mathematical logic and probability theory. Other kinds of lattices are used in set theory, topology, and functional analysis. There is a natural way of using the lattice operations to partially order the lattice and thus establish the equivalence of lattice theory and the theory of partially ordered sets. The concept of the lattice first appeared in the mid-19th century and was first fully defined by J. W. R. Dedekind. REFERENCESBirkhoff, G. Teoriia struktur. Moscow, 1952. (Translated from English.)
Skorniakov, L. A. Elementy teorii struktur. Moscow, 1970.
Sikorski, R. Bulevy algebry. Moscow, 1969. (Translated from English.)
Vladimirov, D. A. Bulevy algebry. Moscow, 1969.lattice[′lad·əs] (civil engineering) A network of crisscrossed strips of metal or wood. (crystallography) A regular periodic arrangement of points in three-dimensional space; it consists of all those points P for which the vector from a given fixed point to P has the form n1a+ n2b+ n3c, where n1, n2, and n3 are integers, anda, b,andcare fixed, linearly independent vectors. Also known as periodic lattice; space lattice. (mathematics) A partially ordered set in which each pair of elements has both a greatest lower bound and least upper bound. (navigation) A pattern formed by two or more families of intersecting lines of position, such as the hyperbolic lines of position from two or more loran stations. (nucleonics) An orderly array or pattern of nuclear fuel elements and moderator in a reactor or critical assembly. lattice1. A network, often diagonal, of strips, rods, bars, laths, or straps of metal or wood, used as screening or for airy, ornamental constructions. 2. A regular member triangularly braced, e.g., a lattice girder, a lattice truss.latticeA network of intersecting positional lines printed on a map or chart from which a fix may be obtained. See hyperbolic navigation system.lattice (theory)A partially ordered set in which all finite subsetshave a least upper bound and greatest lower bound.
This definition has been standard at least since the 1930s andprobably since Dedekind worked on lattice theory in the 19thcentury; though he may not have used that name.
See also complete lattice, domain theory.lattice
lat·tice (lat'is), A regular arrangement of units into an array such that a plane passing through two units of a particular type or in a particular interrelationship will pass through an indefinite number of such units (for example, the atom arrangement in a crystal).lattice An MRI term for the thermomagnetic environment in which spinning nuclei exchange energy during longitudinal (T1) relaxation.lattice (lăt′ĭs) 1. A network or framework formed by structures intertwined usually at right angles with each other.2. In physics, the arrangement of atoms in a crystal.lattice
Related to lattice: Lowes, LatisseSynonyms for latticenoun gridSynonyms- grid
- network
- web
- grating
- mesh
- grille
- trellis
- fretwork
- tracery
- latticework
- openwork
- reticulation
Synonyms for latticenoun an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensionsRelated Words- organization
- arrangement
- organisation
- system
- Bravais lattice
- crystal lattice
- space lattice
noun small opening (like a window in a door) through which business can be transactedSynonymsRelated Wordsnoun framework consisting of an ornamental design made of strips of wood or metalSynonymsRelated Words- framework
- lath
- treillage
- trellis
|