Examples of 'boolean algebra' in a sentence
Meaning of "boolean algebra"
boolean algebra: A branch of algebra where the variables represent true or false values, typically used in computer science and logic circuits to manipulate truth values
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- 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.)
- 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
- The study of such algebras; Boolean logic, classical logic.
How to use "boolean algebra" in a sentence
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boolean algebra
Studies of boolean algebra is commonly part of a mathematics.
The following two theorems are used in boolean algebra.
A boolean algebra is relatively complemented.
In some model there is a free complete boolean algebra on countably many generators.
A boolean algebra is a heyting algebra.
It is in fact the free Boolean algebra on κ generators.
A boolean algebra is orthocomplemented.
Hence those divisors form a Boolean algebra.
A boolean algebra is orthomodular.
Its acquisition is computed as prognosticative Boolean algebra.
Boolean algebra has wide applications in telephone switching and computer technology.
All that stuff applies to Boolean algebra.
Boolean algebra is a significant tool for the analysis and design of electronic computers.
One application of Boolean algebra is digital circuit design.
Today it is commonly known as Boolean algebra.
See also
Familiarity with boolean algebra and its simplification process will help with understanding the following examples.
The algebra of subsets of a given set is a complete Boolean algebra.
This Boolean algebra is unique up to isomorphism.
An elementary version of polyadic algebra is described in monadic Boolean algebra.
Every Boolean algebra can be represented as a field of sets.
These values are then combined using Boolean algebra.
All these definitions of Boolean algebra can be shown to be equivalent.
The course explains the rules used in Boolean algebra.
We say that Boolean algebra is finitely axiomatizable or finitely based.
Karnaugh maps are used to facilitate the simplification of Boolean algebra functions.
The operators of Boolean algebra may be represented in various ways.
Gigablast supports various specialized searches and Boolean algebra operators.
Every law of Boolean algebra follows logically from these axioms.
Each interpretation is responsible for different distributive laws in the Boolean algebra.
This is a list of topics around Boolean algebra and propositional logic.
Boolean Algebra is the mathematics we use to analyse digital gates and circuits.
The generators of a free Boolean algebra can represent independent propositions.
The expression may be simplified using the basic relations of Boolean algebra.
He developed Boolean algebra that would later make computer programming possible.
He also proved that circuits with relays could solve Boolean algebra problems.
Know Boolean algebra mathematical logic as a basis for the design and implementation of digital systems.
De Morgan algebra is not the only plausible way to generalize the Boolean algebra.
Neither the methods of Karnaugh maps nor Boolean algebra can simplify this logic further.
Every complemented distributive lattice has a unique orthocomplementation and is in fact a Boolean algebra.
Two things about Boolean algebra make it a very important form of mathematics for practical applications.
Recall that filters on sets are proper filters of the Boolean algebra of its powerset.
Every finite Boolean algebra is complete.
There is nothing magical about the choice of symbols for the values of Boolean algebra.
It is an interactive Boolean Algebra program extremely easy to use.
This construction yields a Boolean algebra.
List of Boolean algebra topics.
Boolean logic Propositional logic list of Boolean algebra topics.
A Boolean algebra with only one element is called a trivial Boolean algebra or a degenerate Boolean algebra.
In addition I was fascinated with how Boolean algebra could be used to simplify circuits.
De Morgan has suggested two theorems which are extremely useful in Boolean Algebra.
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See converting to boolean for more information
Boolean content does not match pattern facet
Check if argument is a boolean and not a number
