plural of lattice theory

(mathematics, uncountable) The branch of mathematics concerned with lattices (partially ordered sets).

plural of lattice-work

(geometry, crystallography) An infinite array of discrete points generated by a set of discrete translation operations mathbf R=n_1 mathbf a₁+n_2 mathbf a₂+n_3 mathbf a₃, where nᵢ are any integers and aᵢ are known as the primitive vectors which lie in different directions and span the lattice.

plural of Tamari lattice

(mathematics) A partially ordered set in which the elements consist of different ways of grouping a sequence of objects into pairs using parentheses (e.g. for a sequence of four objects abcd, the five possible groupings are ((ab)c)d, (ab)(cd), (a(bc))d, a((bc)d), and a(b(cd))).

(algebra) The lattice corresponding to a Boolean algebra.

(algebra) A lattice in which the "meet" and the "join" operations are distributive with respect to each other.

(crystallography) The constant distance between unit cells in a crystal lattice. It may be different in each direction, thus a crystalline substance may have up to three lattice constants.

plural of Leech lattice