# Lattice (mathematics)

Lattice (mathematics)

In mathematics, the term lattice can mean:

* A partially ordered set (poset) in which any two elements have a supremum and an infimum&mdash;see lattice (order). The Hasse diagrams of these posets look (in some simple cases) like the lattices of ordinary language. These lattices can also be defined as algebraic structures.

* A discrete subgroup of R"n" that spans it as a real vector space, or its translate&mdash;see lattice (group). The elements of a lattice are regularly spaced, reminiscent of the intersection points of a lath lattice. Special types include unimodular lattices, the Leech lattice, and the Niemeier lattice. See also translational symmetry.

* More generally, a lattice in a locally compact topological group is a discrete subgroup of finite covolume&mdash;see lattice (discrete subgroup).

* The lattice method or form (also known as the "jalousie method") is an algorithm used to teach basic multiplication to elementary grades.

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