In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice. While the term skew lattice can be used to refer to any non-commutative generalization of a lattice, since 1989 it has been used primarily as follows.
abstract algebra, a skewlattice is an algebraic structure that is a non-commutative generalization of a lattice. While the term skewlattice can be used to...
distribution Skew field or division ring Skew-Hermitian matrix SkewlatticeSkew polygon, whose vertices do not lie on a plane Infinite skew polyhedron Skew-symmetric...
partially ordered access privileges Skewlattice, a non-commutative generalization of order-theoretic latticesLattice multiplication, a multiplication algorithm...
In physics, the reciprocal lattice emerges from the Fourier transform of another lattice. The direct lattice or real lattice is a periodic function in...
In algebra, a division ring, also called a skew field, is a nontrivial ring in which division by nonzero elements is defined. Specifically, it is a nontrivial...
A skew arch (also known as an oblique arch) is a method of construction that enables an arch bridge to span an obstacle at some angle other than a right...
relation Matrix mechanics Neutrino theory of light Zero-energy universe Skewlattice Jordan algebra Jordan–Brans–Dicke theory Jordan and Einstein frames Jordan...
In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing...
opposite triangles form another equilateral triangle.: Thm. 1 A skew hexagon is a skew polygon with six vertices and edges but not existing on the same...
associate. Skewlattice: meet and join associate but need not commute. Lattice: meet and join associate and commute. Complete lattice: a lattice in which...
unital quantale is a semiring under join and multiplication. A normal skewlattice in a ring R {\displaystyle R} is a semiring for the operations multiplication...
In geometry, the regular skew polyhedra are generalizations to the set of regular polyhedra which include the possibility of nonplanar faces or vertex...
polyominoes and their higher-dimensional analogs (which are often referred to as lattice animals in this literature) is applied to problems in physics and chemistry...
then the containment of diagrams means that μi ≤ λi for all i. The skew diagram of a skew shape λ/μ is the set-theoretic difference of the Young diagrams...
when the lattice spacing of the two crystals do not match, resulting in a misfit of the lattices at the interface. The stress caused by the lattice misfit...
In mathematics the determinant of an m×m skew-symmetric matrix can always be written as the square of a polynomial in the matrix entries, a polynomial...
dimensions. An implementation typically involves four steps: coordinate skewing, simplicial subdivision, gradient selection, and kernel summation. An input...
17-sided polyhedra that tile space. Its edges lie on diagonals of the regular skew polyhedron, a surface with six squares meeting at each integer point of space...
unit squares or unit cubes, and the vertices are points on the integer lattice. A rectilinear grid is a tessellation by rectangles or rectangular cuboids...
uniform honeycombs using convex uniform polyhedral cells. Simple cubic lattices can be distorted into lower symmetries, represented by lower crystal systems:...
The polyhedral method treats each loop iteration within nested loops as lattice points inside mathematical objects called polyhedra, performs affine transformations...