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Что (кто) такое Lattice - определение

WIKIMEDIA DISAMBIGUATION PAGE

LatticE; Lattices; Lattice (mathematics); Discrete lattice; Lattice (disambiguation)

Найдено результатов: 230

lattice

¦ noun

1. a structure or pattern consisting of strips crossing each other with square or diamond-shaped spaces left between.

2. Physics a regular repeated three-dimensional arrangement of atoms, ions, or molecules in a metal or other crystalline solid.

Derivatives

latticed adjective

latticework noun

Origin

ME: from OFr. lattis, from latte 'lath', of Gmc origin.

lattice

n.

Trellis, lattice-work.

lattice

(lattices)

A lattice is a pattern or structure made of strips of wood or another material which cross over each other diagonally leaving holes in between.

We were crawling along the narrow steel lattice of the bridge.

N-COUNT: usu sing

lattice

<theory> A partially ordered set in which all finite subsets have a least upper bound and greatest lower bound. This definition has been standard at least since the 1930s and probably since Dedekind worked on lattice theory in the 19th century; though he may not have used that name. See also complete lattice, domain theory. (1999-12-09)

Lattice

·vi To make a lattice of; as, to lattice timbers.

II. Lattice ·vi To close, as an opening, with latticework; to furnish with a lattice; as, to lattice a window.

III. Lattice ·noun The representation of a piece of latticework used as a bearing, the bands being vertical and horizontal.

IV. Lattice ·noun Any work of wood or metal, made by crossing laths, or thin strips, and forming a network; as, the lattice of a window;

- called also latticework.

Lattice (group)

SUBGROUP OF A REAL VECTOR SPACE

Lattice point; Cocompact lattice; Lattice groups; Point lattice; Affine lattice; Lattice model (mathematics); Lattice points; Covolume; Primitive element (lattice)

In geometry and group theory, a lattice in the real coordinate space \mathbb{R}^n is an infinite set of points in this space with the properties that coordinatewise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point. Closure under addition and subtraction means that a lattice must be a subgroup of the additive group of the points in the space, and the requirements of minimum and maximum distance can be summarized by saying that a lattice is a Delone set.

https://en.wikipedia.org/wiki/Lattice_(group)

Lattice (order)

$'''Pic. 9:''' Monotonic map <math>f</math> between lattices that preserves neither joins nor meets, since <math>f(u) \vee f(v) = u^{\prime} \vee u^{\prime}= u^{\prime}</math> <math>\neq</math> <math>1^{\prime} = f(1) = f(u \vee v)</math> and <math>f(u) \wedge f(v) = u^{\prime} \wedge u^{\prime} = u^{\prime}</math> <math>\neq</math> <math>0^{\prime} = f(0) = f(u \wedge v).</math>$
$'''Pic. 11:''' Smallest non-modular (and hence non-distributive) lattice N<sub>5</sub>. <br>The labelled elements violate the distributivity equation <math>c \wedge (a \vee b) = (c \wedge a) \vee (c \wedge b),</math> but satisfy its dual <math>c \vee (a \wedge b) = (c \vee a) \wedge (c \vee b).</math>$

PARTIALLY ORDERED SET THAT ADMITS GREATEST LOWER AND LEAST UPPER BOUNDS

Lattice theory; Bounded lattice; Lattice (algebra); Lattice (order theory); Lattice homomorphism; Lattice Homomorphism; Lattice Automorphism; Lattice automorphism; Lattice Endomorphism; Lattice endomorphism; Lattice Isomorphism; Lattice isomorphism; Sublattice; Lattice order; Conditionally complete lattice; Complement (order theory); Jordan–Dedekind chain condition; Jordan-Dedekind chain condition; Jordan-Dedekind property; Jordan-Dedekind lattice; Jordan-dedekind property; Jordan-dedekind lattice; Jordan–Dedekind lattice; Partial lattice; Join-irreducible; Meet-irreducible; Join-prime; Meet-prime; Separating lattice homomorphism; Complementation (lattice theory); Complement (lattice theory)

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 bound or join) and a unique infimum (also called a greatest lower bound or meet).

https://en.wikipedia.org/wiki/Lattice_(order)

Lattice (music)

WAY OF MODELING TUNING RELATIONSHIPS

Tuning lattice; Tone-lattice; Pitch lattice; Lattice (tuning); Tuning matrix; Tuning array; Tuning table

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.

https://en.wikipedia.org/wiki/Lattice_(music)

lattice-work

ORNAMENTAL CRISS-CROSSED FRAMEWORK, AN ARRANGEMENT OF CROSSING LATHS OR OTHER THIN STRIPS OF MATERIAL

Lattice-work

n.

Lattice, trellis.

Lattice (module)

MODULE OVER A RING

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

https://en.wikipedia.org/wiki/Lattice_(module)

Википедия

Lattice

Lattice may refer to:

https://en.wikipedia.org/wiki/Lattice