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Boolean algebra

In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted by 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such as…

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Values

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Boolean algebras

Axiomatizing Boolean algebra

Propositional logic

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Boolean algebra

Nodes189
Edges188
Triples180
Avg. degree1.99
Density0.010582
Components1

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Boolean algebra

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related to Further reading · 33
Boolean algebra → Berlin, Bocheński, Boolean, Boolean Algebras, Ciletti, Courier Dover Publications, Digital Design, Dordrecht, Dwinger, Eldon, French, German, Germany, Introduction, ISBN, Józef Maria, Mano, Mathematical Logic, Michael, Morris
related to history · 13
Boolean algebra → Boole's, Boolean, Ching, For, Gottfried Wilhelm Leibniz's, Huntington, In, It, Jevons, Leibniz's, Schröder, Stone, The
related to Values · 11
Boolean algebra → Addition, AND, Another, Boolean, GF, In GF, The, These, They, Whereas, XOR
related to Basic operations · 9
Boolean algebra → Alternatively, AND, Boolean, NOT, OR, The, They, Variables, While
related to Computers · 9
Boolean algebra → Boolean, Claude Shannon, In, Relay, Some, Switching Circuits, Symbolic Analysis, They, Today
related to Representable Boolean algebras · 9
Boolean algebra → Although, Boolean, Hence, However, Let, So, The, These, This
has application · 7
Boolean algebra → All, Boolean, One, Replacing, The, Thus, Whereas
related to Digital logic gates · 7
Boolean algebra → AND-gates, Boolean, Digital, Each, For, OR-gates, The
related to Propositional logic · 7
Boolean algebra → Boolean, Greek, In, It, Many, Propositional, Syntactically
related to Boolean algebras: the definition · 6
Boolean algebra → Boolean, Instead, Such, The, The Boolean, This

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algebra boolean set logic operations one laws two complement propositional values example operation algebras law used subsets variables conjunction concrete

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SubjectPredicateObjectConfidenceSrc
Boolean algebrais abranch of algebra0.90text
Boolean algebrais aidentity such as x0.90text
Boolean algebrais aBoolean algebra according to our definitions0.90text
Boolean algebrais acomplemented distributive lattice.The section on axiomatization lists other axiomatizations0.90text
Boolean algebrais aBoolean algebra0.90text
conjunctioninstance ofBoolean algebra uses logical operators0.80text
additioninstance ofuses arithmetic operators0.80text
multiplicationinstance ofuses arithmetic operators0.80text
subtractioninstance ofuses arithmetic operators0.80text
and divisioninstance ofuses arithmetic operators0.80text
set theoryinstance ofand is also used in other areas of mathematics0.80text
statistics.ComputersIn the early 20th centuryinstance ofand is also used in other areas of mathematics0.80text

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