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square lattice

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  • Square lattice — In mathematics, the square lattice is one of the five two dimensional lattice types. It is the two dimensional version of the integer lattice.Two orientations of an image of the lattice are by far the most common. They can conveniently be… …   Wikipedia

  • Square-lattice Ising model — The two dimensional square lattice Ising model was solved by Lars Onsager in 1944 for the special case that the external field H = 0. The general case for H eq 0 has yet to be found.Consider the 2D Ising model on a square lattice Lambda with N… …   Wikipedia

  • Lattice gas automaton — Lattice gas automata (LGA) or lattice gas cellular automata (LGCA) methods are a series of cellular automata methods used to simulate fluid flows. It was the precursor to the lattice Boltzmann methods. From the LGCA, it is possible to derive the… …   Wikipedia

  • Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

  • Square (geometry) — In Euclidean Geometry geometry, a square is a regular polygon with four equal sides. In Euclidean geometry, it has four 90 degree angles. A square with vertices ABCD would be denoted squarenotation|ABCD. Classification A square (regular… …   Wikipedia

  • Square tiling — In geometry, the Square tiling is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}.Conway calls it a quadrille.The internal angle of the square is 90 degrees so four squares at a point make a full 360 degrees. It is one of …   Wikipedia

  • lattice — ► NOUN 1) a structure or pattern consisting of strips crossing each other with square or diamond shaped spaces left between. 2) a regular repeated three dimensional arrangement of atoms, ions, or molecules in a metal or other crystalline solid.… …   English terms dictionary

  • Lattice graph — The terms lattice graph, mesh graph, or grid graph refer to a number of categories of graphs whose drawing corresponds to some grid/mesh/lattice, i.e., its vertices correspond to the nodes of the mesh and its edges correspond to the ties between… …   Wikipedia

  • Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… …   Wikipedia

  • Square-free integer — In mathematics, a square free, or quadratfrei, integer is one divisible by no perfect square, except 1. For example, 10 is square free but 18 is not, as it is divisible by 9 = 32. The smallest square free numbers are :1, 2, 3, 5, 6, 7, 10, 11, 13 …   Wikipedia

  • Square foot gardening — An updated book published by Mel Bartholomew in February 2006. Square Foot Gardening is the practice of planning small but intensively planted gardens. The phrase square foot gardening was popularized by Mel Bartholomew in a 1981 Rodale Press… …   Wikipedia