Meaning

8 senses
  1. A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.

    Gitterzaun, Gitterwerk, Gitter

    плетёная решёткаpletjónaja rešótka

  2. A bearing with vertical and horizontal bands that cross each other.

  3. A regular spacing or arrangement of geometric points, often decorated with a motif.

    Kristallgitter, Gitter

    решёткаrešótka

    an arrangement of points or particles or objects in a regular periodic pattern in 2 or 3 dimensions

  4. A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.

  5. In any of several technical senses, a substructure with properties analogous to those the set of points with integer coordinates bears in relation to the full Euclidian space these points are contained in.

    A discrete subgroup of Rⁿ which is isomorphic to Zⁿ (considered as an additive group) and which spans the real vector space Rⁿ.

  6. A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.

  7. A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).

  8. A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.

    Verband

    решёткаrešótka

Examples

3 sentences
  1. A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.

    deEin Verband ist eine abstrakte Struktur, die von den mathematischen Unterdisziplinen der Ordnungstheorie und der abstrakten Algebra untersucht wird.

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  2. He wrapt his cloak around him, fell asleep, and dreamed of Lucy Ashton till daylight gleamed through the lattices.

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  3. In algebra, abstract algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, and lattices.

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Translations

7 languages
Русский
By meaning 2
flat panel constructed with strips of wood or other material:
regular spacing or arrangement of geometric points:
Deutsch
By meaning 3
flat panel constructed with strips of wood or other material:
regular spacing or arrangement of geometric points:
partially ordered set:

Origin

From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis,

From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *lattu (“a lath”), from Proto-Germanic *laþô (“board; plank; ledge”), from Proto-Indo-European *(s)latn-, *(s)lat- (“beam; log”). Cognate with Old High German latta (“lath”), (German Latte), Old English lætt (“lath”), Middle Low German lāde (“plank, counter, sales counter”), German Laden (“shop”). More at lath.

Wiktionary, CC BY-SA 4.0 · source

Forms

plural: lattices

Synonyms

4 synonyms
flat panel constructed with strips of wood or other material:latticework
Close in meaning
  • framework consisting of an ornamental design made of strips of wood or metal:latticeworkfretwork
  • small opening (like a window in a door) through which business can be transacted:wicketgrille

Word family

30 related words

See also

neighbours in the dictionary
lattice — meaning, examples, forms, synonyms | Krumeto