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Encyclopedia > Boolean

For use in mathematics, see Boolean algebra (structure).

For a logical calculus of truth values or set membership, see Boolean algebra (logic).

In Computer Science, "Boolean" is a datatype, usually a primitive datatype. See Boolean datatype.

A Boolean network consists of a set of Boolean variables whose state is determined by other variables in the network.

This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

Category: Disambiguation In abstract algebra, a Boolean algebra is an algebraic structure (a collection of elements and operations on them obeying defining axioms) that captures essential properties of both set operations and logic operations. ... Boolean algebra is the finitary algebra of two values. ... Computer science, or computing science, is the study of the theoretical foundations of information and computation and their implementation and application in computer systems. ... In computer science, the Boolean datatype, sometimes called the logical datatype, is a primitive datatype having two values: one and zero (which are equivalent to true and false). ... A Boolean network consists of a set of Boolean variables whose state is determined by other variables in the network. ... Image File history File links Disambig_gray. ...

Results from FactBites:

Encyclopedia4U - Boolean algebra - Encyclopedia Article (1642 words)
	The two-element Boolean algebra is also important in the general theory of Boolean algebras, because an equation involving several variables is generally true in all Boolean algebras if and only if it is true in the two-element Boolean algebra (which can always be checked by a trivial brute force algorithm).
	Every Boolean algebra (A, ∧, ∨) gives rise to a ring (A, +, ) by defining a + b = (a ∧ ¬b) ∨ (b ∧ ¬a) (this operation is called "symmetric difference" in the case of sets and XOR in the case of logic) and a b = a ∧ b.
	An ideal of the Boolean algebra A is a subset I such that for all x, y in I we have x ∨ y in I and for all a in A we have a ∧ x in I.

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