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Skew lattice information


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.

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Skew lattice

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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...

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Skew

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distribution Skew field or division ring Skew-Hermitian matrix Skew lattice Skew polygon, whose vertices do not lie on a plane Infinite skew polyhedron Skew-symmetric...

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Lattice

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partially ordered access privileges Skew lattice, a non-commutative generalization of order-theoretic lattices Lattice multiplication, a multiplication algorithm...

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Reciprocal lattice

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In physics, the reciprocal lattice emerges from the Fourier transform of another lattice. The direct lattice or real lattice is a periodic function in...

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Division ring

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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...

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Skew arch

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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...

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Pascual Jordan

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relation Matrix mechanics Neutrino theory of light Zero-energy universe Skew lattice Jordan algebra Jordan–Brans–Dicke theory Jordan and Einstein frames Jordan...

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Leech lattice

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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...

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Hexagon

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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...

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Outline of algebraic structures

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associate. Skew lattice: meet and join associate but need not commute. Lattice: meet and join associate and commute. Complete lattice: a lattice in which...

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Semiring

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unital quantale is a semiring under join and multiplication. A normal skew lattice in a ring R {\displaystyle R} is a semiring for the operations multiplication...

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Regular skew polyhedron

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In geometry, the regular skew polyhedra are generalizations to the set of regular polyhedra which include the possibility of nonplanar faces or vertex...

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Polyomino

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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...

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Young tableau

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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...

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Quadrupole magnet

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following (see also multipole magnet). B → normal = ( K ⋅ y , K ⋅ x , 0 ) B → skew = ( J ⋅ x , − J ⋅ y , 0 ) {\displaystyle {\begin{aligned}{\vec...

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Dislocation

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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...

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Pfaffian

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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...

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Simplex noise

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dimensions. An implementation typically involves four steps: coordinate skewing, simplicial subdivision, gradient selection, and kernel summation. An input...

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Laves graph

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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...

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Regular grid

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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...

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Cubic honeycomb

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uniform honeycombs using convex uniform polyhedral cells. Simple cubic lattices can be distorted into lower symmetries, represented by lower crystal systems:...

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Polytope model

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The polyhedral method treats each loop iteration within nested loops as lattice points inside mathematical objects called polyhedra, performs affine transformations...

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