Definitions from Wiktionary (Boolean algebra)
▸ noun: (algebra) An algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)
▸ noun: (algebra, logic, computing) Specifically, an algebra in which all elements can take only one of two values (typically 0 and 1, or "true" and "false") and are subject to operations based on AND, OR and NOT
▸ noun: (mathematics) The study of such algebras; Boolean logic, classical logic.
▸ Also see boolean_algebra
▸ Words similar to boolean algebras
▸ Usage examples for boolean algebras
▸ Idioms related to boolean algebras
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▸ noun: (algebra) An algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)
▸ noun: (algebra, logic, computing) Specifically, an algebra in which all elements can take only one of two values (typically 0 and 1, or "true" and "false") and are subject to operations based on AND, OR and NOT
▸ noun: (mathematics) The study of such algebras; Boolean logic, classical logic.
▸ Also see boolean_algebra
Types:
Phrases:
▸ Words similar to boolean algebras
▸ Usage examples for boolean algebras
▸ Idioms related to boolean algebras
▸ Wikipedia articles (New!)
▸ Words that often appear near boolean algebras
▸ Rhymes of boolean algebras
▸ Invented words related to boolean algebras