The difference between Complete lattice and Lattice

Complete lattice as a noun (algebra):

A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

Lattice as a noun:

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

Lattice as a noun (heraldry):

A bearing with vertical and horizontal bands that cross each other.

Lattice as a noun (crystallography):

A regular spacing or arrangement of geometric points, often decorated with a motif.

Lattice as a noun (group theory):

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

Lattice as a noun (music):

A model of the tuning relationships of a just intonation system, comprising an array of points in a periodic multidimensional pattern.

Lattice as a noun (topology, Lie theory):

A discrete subgroup L of a given locally compact group G whose quotient space G/L has finite invariant measure.

Lattice as a noun (algebra, order theory):

A partially ordered set in which every pair of elements has a unique supremum and a unique infimum.

Lattice as a verb:

To make a lattice of.

Lattice as a verb:

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