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  2. Lattice (order) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(order)

    A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).

  3. Lattice (discrete subgroup) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(discrete_subgroup)

    Let be a locally compact group and a discrete subgroup (this means that there exists a neighbourhood of the identity element of such that = {}).Then is called a lattice in if in addition there exists a Borel measure on the quotient space / which is finite (i.e. (/) < +) and -invariant (meaning that for any and any open subset / the equality () = is satisfied).

  4. Lattice (group) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(group)

    A lattice in the sense of a 3-dimensional array of regularly spaced points coinciding with e.g. the atom or molecule positions in a crystal, or more generally, the orbit of a group action under translational symmetry, is a translation of the translation lattice: a coset, which need not contain the origin, and therefore need not be a lattice in ...

  5. Integer lattice - Wikipedia

    en.wikipedia.org/wiki/Integer_lattice

    In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted ⁠ ⁠, is the lattice in the Euclidean space ⁠ ⁠ whose lattice points are n-tuples of integers. The two-dimensional integer lattice is also called the square lattice , or grid lattice.

  6. Lattice (module) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(module)

    In mathematics, in the field of ring theory, a lattice is a module over a ring that is embedded in a vector space over a field, giving an algebraic generalisation of the way a lattice group is embedded in a real vector space.

  7. Lattice - Wikipedia

    en.wikipedia.org/wiki/Lattice

    Lattice mast, a type of observation mast common on major warships in the early 20th century; Lattice model (physics), a model defined not on a continuum, but on a grid; Lattice tower, or truss tower is a type of freestanding framework tower; Lattice truss bridge, a type of truss bridge that uses many closely spaced diagonal elements

  8. Connected Mathematics - Wikipedia

    en.wikipedia.org/wiki/Connected_Mathematics

    Connected Mathematics is a comprehensive mathematics program intended for U.S. students in grades 6–8.The curriculum design, text materials for students, and supporting resources for teachers were created and have been progressively refined by the Connected Mathematics Project (CMP) at Michigan State University with advice and contributions from many mathematics teachers, curriculum ...

  9. Complete lattice - Wikipedia

    en.wikipedia.org/wiki/Complete_lattice

    The mathematics behind formal concept analysis therefore is the theory of complete lattices. Another representation is obtained as follows: A subset of a complete lattice is itself a complete lattice (when ordered with the induced order) if and only if it is the image of an increasing and idempotent (but not necessarily extensive) self-map. The ...

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