lattice
Meanings
noun
- A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
- A bearing with vertical and horizontal bands that cross each other.
- A regular spacing or arrangement of geometric points, often decorated with a motif.
- A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.
- 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.
- A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
- A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).
- A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.
verb
- To make a lattice of.
- To close, as an opening, with latticework; to furnish with a lattice.
Pronunciation
Word forms
Etymology
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.
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