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”), of Germanic origin, 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

Translations

a regular spacing or arrangement of geometric points

Chinese: Mandarin: 晶格 (zh) (jīnggé) Dutch: rooster (nl), kristalrooster (nl) French: quadrillage (fr), grille (fr), lattis (fr) German: Kristallgitter (de) 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.

Italian: reticolo (it) m. Japanese: 束 (ja) (そく, soku) Macedonian: решетка (mk) (réšetka) 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

Chinese: 梯 (tī) Finnish: ristikko French: treillage m., treillis m., grillage m. German: Gitter n. Greek: καφάσι (kafási) n., κιγκλίδα (kinklída) f. Hebrew: סבכה (svaha) f., רשת (rešet) f. Hindi: झिलमिली (1), जालक (2) Hindi: झंझरी, लकड़ी या लोहे की जाली

Korean: 격자 (gyeokja), 격자창 (gyeokjachang) Latin: cancelli m. pl. Portuguese: treliça f. Spanish: celosía f., rejilla f., enrejado m. (1); reticulado m., latis m., enrejado m. (2) Swedish: gitter (sv) c.

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