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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 (music) - Wikipedia

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

    Wilson template for mapping higher limit systems A lattice showing Erv Wilson's Eikosany structure. This template can be used with any 6 ratios. Erv Wilson has made significant headway with developing lattices than can represent higher limit harmonics, meaning more than 2 dimensions, while displaying them in 2 dimensions. Here is a template he ...

  4. Lattice (group) - Wikipedia

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

    In geometry and group theory, a lattice in the real coordinate space is an infinite set of points in this space with the properties that coordinate-wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point.

  5. Completely distributive lattice - Wikipedia

    en.wikipedia.org/.../Completely_distributive_lattice

    More generally, any complete chain is a completely distributive lattice. [5] The power set lattice ((),) for any set X is a completely distributive lattice. [1] For every poset C, there is a free completely distributive lattice over C. [3] See the section on Free completely distributive lattices above.

  6. Modular group - Wikipedia

    en.wikipedia.org/wiki/Modular_group

    The braid group B 3 is the universal central extension of the modular group, with these sitting as lattices inside the (topological) universal covering group SL 2 (R) → PSL 2 (R). Further, the modular group has a trivial center, and thus the modular group is isomorphic to the quotient group of B 3 modulo its center ; equivalently, to the ...

  7. Distributive lattice - Wikipedia

    en.wikipedia.org/wiki/Distributive_lattice

    A lattice (L,∨,∧) is distributive if the following additional identity holds for all x, y, and z in L: x ∧ (y ∨ z) = (x ∧ y) ∨ (x ∧ z). Viewing lattices as partially ordered sets, this says that the meet operation preserves non-empty finite joins. It is a basic fact of lattice theory that the above condition is equivalent to its ...

  8. Military helicopter makes emergency landing on California ...

    www.aol.com/military-helicopter-makes-emergency...

    Flames could be seen where a military helicopter made an emergency landing at Camp Pendleton on Friday, causing police to warn drivers of potential traffic delays along Interstate 5. All four crew ...

  9. Riesz space - Wikipedia

    en.wikipedia.org/wiki/Riesz_space

    A Riesz space or a vector lattice is a preordered vector lattice whose preorder is a partial order. Equivalently, it is an ordered vector space for which the ordering is a lattice . Note that many authors required that a vector lattice be a partially ordered vector space (rather than merely a preordered vector space) while others only require ...

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