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Logical conjunction

In logic, mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle \wedge } or & {\displaystyle \&} or K {\displaystyle K} (prefix) or × {\displaystyle \times } or ⋅ {\displaystyle \cdot } in…

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0-preserving
yes
1-preserving
yes
Affine
no
Conjunctive
x y {\displaystyle xy}
Definition
x y {\displaystyle xy}
Disjunctive
x y {\displaystyle xy}

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Overview

Notation

Definition

Introduction and elimination rules

Properties

Applications in computer engineering

Set-theoretic correspondence

Natural language

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Logical conjunction

Nodes67
Edges66
Triples51
Avg. degree1.97
Density0.029851
Components1

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Logical conjunction

Top relations

see also · 24
Logical conjunction → Addition, Algebraic, AND, Bit-by-bit, Boolean, Branch, Concept, Digital, Function, Graph, Inference, Logical, Morgan's, Notation, ORLogical, Pair, Part, Peano, Properties, Query
has application · 4
Logical conjunction → AND, In, Logical, Many
related to Natural language · 4
Logical conjunction → As, English, For, They
related to Definition · 3
Logical conjunction → AND-ing, In, The
related to Defined by other operators · 2
Logical conjunction → In, It
related to Set-theoretic correspondence · 2
Logical conjunction → The, Through
0-preserving · 1
Logical conjunction → yes
1-preserving · 1
Logical conjunction → yes
Affine · 1
Logical conjunction → no
Conjunctive · 1
Logical conjunction → x y {\displaystyle xy}

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Important terminology

conjunction logical displaystyle logic operator true also false truth used wedge notation set mathematics binary table two example languages theory

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Logical conjunction0-preservingyes1.00infobox
Logical conjunction1-preservingyes1.00infobox
Logical conjunctionAffineno1.00infobox
Logical conjunctionConjunctivex y {\displaystyle xy}1.00infobox
Logical conjunctionDefinitionx y {\displaystyle xy}1.00infobox
Logical conjunctionDisjunctivex y {\displaystyle xy}1.00infobox
Logical conjunctionMonotoneyes1.00infobox
Logical conjunctionSelf-dualno1.00infobox
Logical conjunctionTruth table( 1000 ) {\displaystyle (1000)}1.00infobox
Logical conjunctionZhegalkin polynomialx y {\displaystyle xy}1.00infobox
Logical conjunctionis aoperation on two logical values0.90text
Englishinstance ofthe denotation of expressions0.80text

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