What is the meaning of Lattice?

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.

  1. A discrete subgroup of R which is isomorphic to Z (considered as an additive group) and which spans the real vector space R.
  2. A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.
  3. A finitely generated R-submodule of V which spans V over F. (In this case the submodule is called an R-lattice).

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

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.

To make a lattice of.

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

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Source: wiktionary.org