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Sheffer stroke

In Boolean functions and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in ordinary language as "not both". It is also called non-conjunction, alternative denial (since it says in effect that at least one of its operands is false), or NAND ("not and"). In…

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0-preserving
no
1-preserving
no
Affine
no
Conjunctive
x ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}
Definition
x ⋅ y ¯ {\displaystyle {\overline {x\cdot y}}}
Disjunctive
x ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}

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Map overview Semantic statistics

Sheffer stroke

Nodes51
Edges50
Triples49
Avg. degree1.96
Density0.039216
Components1

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Sheffer stroke

Top relations

related to history · 22
Sheffer stroke → American Mathematical Society, AND, Because, Boolean, Charles Sanders Peirce, Edward Stamm, Henry Maurice Sheffer, Huntington, It, Jean Nicod, NAND, NOR, NOT, OR, Principia Mathematica, Russell, Sheffer, Sheffer's, The, Transactions
related to Functional completeness · 8
Sheffer stroke → An, Disjunctive Normal Form Theorem, It, NAND, Sheffer, The Sheffer, Then, This
related to External links · 7
Sheffer stroke → Internet Encyclopedia, NAND, Philosophyhttp, Project Euclid, Sheffer, Stroke, Yasuo Setô
related to Logical equivalences · 2
Sheffer stroke → By De Morgan's, The Sheffer
0-preserving · 1
Sheffer stroke → no
1-preserving · 1
Sheffer stroke → no
Affine · 1
Sheffer stroke → no
Conjunctive · 1
Sheffer stroke → x ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}
Definition · 1
Sheffer stroke → x ⋅ y ¯ {\displaystyle {\overline {x\cdot y}}}
Disjunctive · 1
Sheffer stroke → x ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}

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Important terminology

sheffer displaystyle nand stroke non-conjunction also used peirce uparrow boolean logical operator gate first equivalent functional completeness overline truth table

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sheffer stroke0-preservingno1.00infobox
Sheffer stroke1-preservingno1.00infobox
Sheffer strokeAffineno1.00infobox
Sheffer strokeConjunctivex ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}1.00infobox
Sheffer strokeDefinitionx ⋅ y ¯ {\displaystyle {\overline {x\cdot y}}}1.00infobox
Sheffer strokeDisjunctivex ¯ + y ¯ {\displaystyle {\overline {x}}+{\overline {y}}}1.00infobox
Sheffer strokeMonotoneno1.00infobox
Sheffer strokeSelf-dualno1.00infobox
Sheffer strokeTruth table( 0111 ) {\displaystyle (0111)}1.00infobox
Sheffer strokeZhegalkin polynomial1 ⊕ x y {\displaystyle 1\oplus xy}1.00infobox
Sheffer strokerelated to External linksSheffer0.60section
Sheffer strokerelated to External linksInternet Encyclopedia0.60section

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