(in a lattice structure)
61Residuated lattice — In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x le; y and a monoid x • y which admits operations x z and z / y loosely analogous to division or implication when x • y is viewed as… …
62E₈ lattice — In mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive definite, even, unimodular lattice of rank 8. The name derives from the fact that it is the root lattice of the E8 root system. The normIn… …
63Particle in a one-dimensional lattice — In quantum mechanics, the particle in a one dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the periodic structure of the crystal creating an electromagnetic field so… …
64Particle in a one-dimensional lattice (periodic potential) — In quantum mechanics, the particle in a one dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The problem can be simplified from the 3D infinite potential barrier (particle in a box) to a one dimensional… …
65Post's lattice — In logic and universal algebra, Post s lattice denotes the lattice of all clones on a two element set {0, 1}, ordered by inclusion. It is named for Emil Post, who published a complete description of the lattice in 1941 [E. L. Post, The two valued …
66Bethe lattice — A Bethe lattice or Cayley tree, introduced by Hans Bethe in 1935, is a connected cycle free graph where each node is connected to z neighbours, where z is called the coordination number. It can be seen as a tree like structure emanating from a… …
67Orthocomplemented lattice — In lattice theory, a branch of the mathematical discipline called order theory, an orthocomplemented lattice (or just ortholattice) is an algebraic structure consisting of a bounded lattice equipped with an orthocomplementation, i.e. an order… …
68Reciprocal lattice — In physics, the reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial function of the original lattice (or direct lattice) is represented. This space is also known as momentum… …
69Unimodular lattice — In mathematics, a unimodular lattice is a lattice of discriminant 1 or −1.The E 8 lattice and the Leech lattice are two famous examples. Definitions *A lattice is a free abelian group of finite rank with an integral symmetric bilinear form (·,·) …
70Complete lattice — In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). Complete lattices appear in many applications in mathematics and computer science. Being a special instance of… …
