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Monus

In mathematics, monus is an operator on certain commutative monoids that are not groups. A commutative monoid on which a monus operator is defined is called a commutative monoid with monus, or CMM. The monus operator may be denoted with the minus sign, " − {\displaystyle -} ", because the natural numbers are a CMM under subtraction. It is also denoted…

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Definition

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Notation

Dennis Ritchie
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  • Variety Variety (universal algebra)

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Monus

Nodes31
Edges30
Triples54
Avg. degree1.94
Density0.064516
Components1

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Monus

Top relations

related to References · 34
Monus → ACM Symposium, Algebra Universalis, Amer, Association, Bagley, BF01182254 Brailsford, Brian, California, Computing Machinery, Curtis, David, Dennis Ritchie, DocEng, Document Engineering, Equationally, Hardy, How, Kernighan, Lock-gray-alt-2, Lock-green
related to Definition · 6
Monus → An, Define, Further, It, Let, There
related to Natural numbers · 3
Monus → For, The, Truncated
related to Other structures · 3
Monus → Beyond, For, When
related to Examples · 2
Monus → Boolean, If
related to Properties · 2
Monus → CMMs, The
is a · 1
Monus → operator on certain commutative monoids that are not groups
related to Notation · 1
Monus → Dennis Ritchie's PhD Thesis

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Important terminology

commutative displaystyle monoid subtraction operator monoids called mathbin dot numbers leq naturally ordered truncated defined also natural standard cmm denoted

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Monusis aoperator on certain commutative monoids that are not groups0.90text
primitive recursive functionsinstance ofTruncated subtraction is useful in contexts0.80text
which are not defined over negative numbersinstance ofTruncated subtraction is useful in contexts0.80text
Monusrelated to DefinitionLet0.60section
Monusrelated to DefinitionDefine0.60section
Monusrelated to DefinitionIt0.60section
Monusrelated to DefinitionFurther0.60section
Monusrelated to DefinitionAn0.60section
Monusrelated to DefinitionThere0.60section
Monusrelated to ExamplesIf0.60section
Monusrelated to ExamplesBoolean0.60section
Monusrelated to Natural numbersThe0.60section

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