lattice

English

Wikipedia

A wooden lattice

Lattice (algebra)

Etymology

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

Pronunciation

• (UK, US) IPA: /ˈlæt.ɪs/

• Audio (UK)

  (file)

Noun

lattice (plural lattices)

1. A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
2. (crystallography) a regular spacing or arrangement of geometric points, often decorated with a motif.
3. (order theory) A partially ordered set in which every pair of elements has a unique supremum and an infimum.
4. (group theory) A discrete subgroup of Rn which spans the real vector space Rn.

Synonyms

• latticework

Hyponyms

• (algebra) complete lattice
• (algebra) distributive lattice

Hypernyms

• (algebra) partially ordered set

Derived terms

• Boolean lattice
• complete lattice
• crystal lattice
• distributive lattice
• lattice energy
• lattice window
• space lattice
• lattice point
• semilattice

See also

• grid

Translations

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

• Russian: плетёная (ru) (pletjónaja) решётка (ru) f (rešótka)

• Finnish: säleikkö (fi), ristikko (fi)
• German: Gitterzaun (de) m, Gitterwerk (de) n, Gitter (de) n

a regular spacing or arrangement of geometric points

• Chinese:

  Mandarin: 晶格 (cmn) (jīnggé)

• Dutch: rooster (nl), kristalrooster (nl)
• Finnish: hila (fi)
• French: quadrillage (fr), grille (fr), lattis (fr)
• German: Kristallgitter (de) n, Gitter (de) n
• Hungarian: rács (hu)
• Italian: graticcio (it) m, traliccio (it) m, reticolo (it) m, griglia (it) f

• Japanese: 結晶格子‎ (ja)
• Korean: 결정격자 (ko)
• Macedonian: решетка (mk) (réšetka) f
• Portuguese: trama (pt) f
• Romanian: rețea (ro), latice (ro)
• Russian: решётка (ru) (rešótka) f 
• Spanish: trama (es), cuadrícula (es)

partially ordered set in algebra

• Czech: svaz (cs) m
• Dutch: tralie (nl)
• Estonian: võre (et)
• German: Verband (de) m
• Icelandic: grind (is) f

• Italian: reticolo (it) m
• Japanese: 束 (ja) (そく, soku)
• Macedonian: решетка (mk) (réšetka) f
• Polish: krata (pl) f
• Russian: решётка (ru) (rešótka) f 

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

Translations to be checked

• Mandarin: 梯 (cmn) (tī)
• French: treillage (fr) m, treillis (fr) m, grillage (fr) m
• Greek: καφάσι (el) (kafási) n , κιγκλίδα (el) (kinklída) f 
• Hebrew: סבכה (he) (svaha) f, רשת (he) (rešet) f
• Hindi: झिलमिली (hi) (1), जालक (hi) (2)

• Hindi: झंझरी (hi), लकड़ी या लोहे की जाली (hi)
• Korean: 격자 (ko) (gyeokja), 격자창 (ko) (gyeokjachang)
• Latin: cancelli (la) m pl
• Portuguese: treliça (pt) f
• Spanish: celosía (es) f, rejilla (es) f, (1) enrejado (es) m, reticulado (es) m, latis (es) m, (2) enrejado (es) m
• Swedish: gitter (sv) c

Verb

lattice (third-person singular simple present lattices, present participle latticing, simple past and past participle latticed)

1. To make a lattice of.

   to lattice timbers

2. To close, as an opening, with latticework; to furnish with a lattice.

   to lattice a window

External links

• lattice in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913
• lattice in The Century Dictionary, The Century Co., New York, 1911
• Lattice on Wikimedia Commons. Wikimedia Commons

Anagrams

• tactile

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Italian

Wikipedia ^it

Noun

lattice m (plural lattici)

1. latex

Synonyms

• latex

Anagrams

• caletti