complemented

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• Complemented lattice — Hasse diagram of a complemented lattice A point and a line of the Fano plane are complements, when In the mathematical discipline of order theory, a complemented lattice is a bounded lattice in which every element a …   Wikipedia

• Complemented group — In mathematics, in the realm of group theory, the term complemented group is used in two distinct, but similar ways. In (Hall 1937), a complemented group is one in which every subgroup has a group theoretic complement. Such groups are called… …   Wikipedia

• complemented — /kom pleuh men tid/, adj. 1. having a complement or complements. 2. Math. (of a lattice containing a smallest element and a greatest element) having the property that corresponding to each element of the lattice is a second element such that the… …   Universalium

• complemented — com·ple·ment || kÉ’mplɪment n. that which makes perfect; something added to complete; that which fills or makes whole; counterpart, corresponding part; number of crew members required on a ship v. complete, make whole, make perfect …   English contemporary dictionary

• complemented — past of complement * * * /kom pleuh men tid/, adj. 1. having a complement or complements. 2. Math. (of a lattice containing a smallest element and a greatest element) having the property that corresponding to each element of the lattice is a… …   Useful english dictionary

• complemented survey — an angling survey using two or more contact methods …   Dictionary of ichthyology

• Relatively complemented lattice — In mathematics, a relatively complemented lattice is a lattice L in which for all a , b , c in L with a le; b le; c there is some x in L such that x or; b = c and x and; b = a . An element x with this property is a complement of b relative to the …   Wikipedia

• Heyting algebra — In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras, named after Arend Heyting. Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded… …   Wikipedia

• Canonical form (Boolean algebra) — In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. Minterms are called products because they are the logical AND of a set of variables, and maxterms are called sums… …   Wikipedia

• Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

• Map of lattices — The concept of a lattice arises in order theory, a branch of mathematics. The Hasse diagram below depicts the inclusion relationships among some important subclasses of lattices. Proofs of the relationships in the map 1. A boolean algebra is a… …   Wikipedia