Boolean algebra in a sentence
1) One application of Boolean algebra is digital circuit design.
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2) The basic operations of Boolean algebra are as follows.
3) Hence the periodic sequences form a Boolean algebra .
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4) Every law of Boolean algebra follows logically from these axioms.5) Hence those divisors form a Boolean algebra .
6) It is thus the prototypical Boolean algebra .
7) But university courses in Boolean algebra seldom mention the completeness of 2.
8) It is in fact the free Boolean algebra on κ generators.
9) In the case of Boolean algebras the answer is yes.
10) In particular, a Boolean algebra is such a semiring.
11) This example is also a countably infinite atomless Boolean algebra .
12) A Boolean algebra with this property is called an initial Boolean algebra.
13) A Boolean algebra with this property is called an initial Boolean algebra .
14) Hence every subalgebra of a Boolean algebra is a Boolean algebra.
15) The values are usually chosen as the members of a Boolean algebra .
example sentences with Boolean algebra
16) There are slight variations and alternate axiomatizations in presentations of Boolean algebra .17) The only entity specific to Boolean algebras is axiom schema A1.
18) This construction yields a Boolean algebra .
19) For infinite Boolean algebras the notion of ultrafilter becomes considerably more delicate.
20) The postulates of Boolean algebra provide the foundation for the entire system.
21) Nearly all well-known algebraic structures other than Boolean algebras are undecidable.
22) Propositional logic is a logical system that is intimately connected to Boolean algebra .
23) Later Carathéodory extended the theory from sets to Boolean algebras .
24) We say that Boolean algebra is finitely axiomatizable or finitely based.
25) This axiomatization of Boolean algebra is due to Huntington (1933).
26) An example is given by the correspondence between Boolean algebras and Boolean rings.
27) We call this the prototypical Boolean algebra , justified by the following observation.
28) In 1933, Huntington set out the following elegant axiomatization for Boolean algebra .
How to use Boolean algebra in a sentence
29) These algebras are all lattices that properly extend the two-element Boolean algebra .30) They showed that electronic relays and switches can realize the expressions of Boolean algebra .
31) A fourth definition is as any Boolean algebra isomorphic to a power set algebra.
32) In Boolean algebra the plus sign (+) is used to denote OR.
33) The completeness of the Boolean algebra is required to define truth values for quantified formulas.
34) The laws of Boolean algebra therefore constitute the equational theory of the Boolean prototype.
35) There are only countably many integers, so this infinite Boolean algebra is countable.
36) The "pa" is an elegant minimalist notation for the two-element Boolean algebra 2.
37) In fact, any skew Boolean algebra can be embedded into such an algebra.
38) A primitive skew Boolean algebra consists of 0 and a single non-0 D-class.
39) Semilattices include lattices, which in turn include Heyting and Boolean algebras .
40) In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.
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