lattice
Language: English
Part of speech: noun
Pronunciation: ipa: /ˈlæt.ɪs/
rhymes: -ætɪs
Forms: form: lattices
form: lettice
Etymology: From Middle English latis, from Middle French lattis (“lathing”), from Old French lattis, from latte (“a lath”), from Frankish *lattā, *lattu (“a lath”), from Proto-Germanic *lattǭ, *lattō, *laþþō (“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.
Senses: examples: text: It was now in ruin: the deer had climbed the broken palings, and reposed among the flowers; grass grew on the threshold, and the swinging lattice creaking to the wind, gave signal of utter desertion.
ref: 1826, [Mary Shelley], chapter VII, in The Last Man. […], volume II, London: Henry Colburn, […], →OCLC:
text: As we descended the long wooden stairway that leads from the central tower to the Island of Inchgarvie, the straight and simple outlines of the internal viaduct stood out in sharp contrast to the long sweep of the massive tubular arms of the cantilevers, and the complicated network of the lattice cross girders.
ref: 1950 March, H. A. Vallance, “On Foot Across the Forth Bridge”, in Railway Magazine, page 150:
glosses: A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
topics: government
heraldry
hobbies
lifestyle
monarchy
nobility
politics
coordinate_terms: fret
trellis
glosses: A bearing with vertical and horizontal bands that cross each other.
topics: chemistry
crystallography
natural-sciences
physical-sciences
glosses: A regular spacing or arrangement of geometric points, often decorated with a motif.
topics: entertainment
lifestyle
music
glosses: A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
topics: algebra
group-theory
mathematics
sciences
glosses: 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.
topics: algebra
mathematics
sciences
topology
glosses: 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 L of a given locally compact group G whose quotient space G/L has finite invariant measure.
qualifier: Lie theory; generalizing sense 5.1; Lie theory; generalizing sense 5.1
topics: algebra
mathematics
sciences
glosses: 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 finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice'').
qualifier: ring theory; generalizing sense 5.1; ring theory; generalizing sense 5.1
raw_tags: with respect to a vector space V over a field F which is the field of fractions of an integral domain R in F
topics: mathematics
order-theory
sciences
glosses: A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
Synonyms: sense: flat panel constructed with strips of wood or other material
word: latticework
Hypernyms: topics: order-theory
mathematics
sciences
word: partially ordered set
Hyponyms: topics: group-theory
mathematics
sciences
word: cubic lattice
topics: group-theory
mathematics
sciences
word: integer lattice
topics: group-theory
mathematics
sciences
alt: n=2
word: square lattice
topics: order-theory
mathematics
sciences
word: complete lattice
word: distributive lattice
Derived terms: Abrikosov lattice
antilattice
Bethe lattice
bilattice
Boolean lattice
bounded lattice
Bravais lattice
complete lattice
crystal lattice
distributive lattice
hyperlattice
interlattice
lattice Boltzmann method
lattice bridge
lattice constant
lattice energy
lattice girder
lattice leaf
latticelike
lattice model
lattice parameter
lattice plant
lattice point
lattice theory
lattice window
latticewise
lattice-work
Leech lattice
microlattice
nanolattice
Niemeier lattice
nonlattice
optical lattice
quasilattice
reciprocal lattice
semilattice
skew lattice
space lattice
spin-lattice relaxation time
sublattice
superlattice
Tamari lattice
Related terms: grid