Boolean complement

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• Boolean algebra (introduction) — Boolean algebra, developed in 1854 by George Boole in his book An Investigation of the Laws of Thought , is a variant of ordinary algebra as taught in high school. Boolean algebra differs from ordinary algebra in three ways: in the values that… …   Wikipedia

• Boolean algebra — This article discusses the subject referred to as Boolean algebra. For the mathematical objects, see Boolean algebra (structure). Boolean algebra, as developed in 1854 by George Boole in his book An Investigation of the Laws of Thought,[1] is a… …   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

• Boolean logic — is a complete system for logical operations. It was named after George Boole, who first defined an algebraic system of logic in the mid 19th century. Boolean logic has many applications in electronics, computer hardware and software, and is the… …   Wikipedia

• Boolean grammar — Boolean grammars are a class of formal grammars studied in formal language theory. They extend the basic type of grammars, the context free grammars, with conjunction and negation operations. Besides these explicit operations, Boolean grammars… …   Wikipedia

• Complement (mathematics) — Complement has a variety of uses in mathematics:* complement, an operation that transforms an integer into its additive inverse, useful for subtracting numbers when only addition is possible, or is easier * complement, a system for working with… …   Wikipedia

• Boolean algebra (structure) — For an introduction to the subject, see Boolean algebra#Boolean algebras. For the elementary syntax and axiomatics of the subject, see Boolean algebra (logic). For an alternative presentation, see Boolean algebras canonically defined. In abstract …   Wikipedia

• Boolean-valued model — In mathematical logic, a Boolean valued model is a generalization of the ordinary Tarskian notion of structure or model, in which the truth values of propositions are not limited to true and false , but take values in some fixed complete Boolean… …   Wikipedia

• Boolean algebra (logic) — For other uses, see Boolean algebra (disambiguation). Boolean algebra (or Boolean logic) is a logical calculus of truth values, developed by George Boole in the 1840s. It resembles the algebra of real numbers, but with the numeric operations of… …   Wikipedia

• Complement — In many different fields, the complement of X is something that together with X makes a complete whole something that supplies what X lacks. Complement may refer to: Complement (linguistics), a word or phrase having a particular syntactic role… …   Wikipedia

• Boolean ring — Math. a nonempty collection of sets having the properties that the union of two sets of the collection is a set in the collection and that the relative complement of each set with respect to any other set is in the collection. Cf. algebra of sets …   Universalium