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In mathematics, a covering system (also called a complete residue system) is a collection of finitely many residue classes whose union contains every integer.

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rdf:type	yago:WikicatUnsolvedProblemsInMathematics yago:Abstraction100002137 yago:Attribute100024264 yago:Condition113920835 yago:Difficulty114408086 yago:Problem114410605 yago:State100024720
rdfs:label	Covering system (en) Système couvrant (fr) Покрывающая система (ru)
rdfs:comment	In mathematics, a covering system (also called a complete residue system) is a collection of finitely many residue classes whose union contains every integer. (en) En mathématiques, un système couvrant est un recouvrement fini de l'ensemble ℤ des entiers relatifs par des classes résiduelles, c'est-à-dire un ensemble fini de classes dont la réunion est égale à ℤ. Cette notion a été introduite par Paul Erdős en 1950. (fr) Покрывающая система (или полная покрывающая система) — это набор конечного числа классов вычетов , объединение которых покрывает все целые числа. (ru)
dcterms:subject	Unsolved problems in number theory
Wikipage page ID	2297820 (xsd:integer)
Wikipage revision ID	1121870304 (xsd:integer)
Link from a Wikipage to another Wikipage	John Selfridge Paul Erdős Residue number system Richard Rado Covering set Mathematics Leon Mirsky Composite number Primefree sequence Even number Fibonacci number PDF Recurrence relation Harold Davenport Herbert Wilf Unsolved problems in number theory Chinese remainder theorem Herzog–Schönheim conjecture Donald J. Newman Lovász local lemma Residue class Relatively prime Zhi-Wei Sun
Link from a Wikipage to an external page	http://math.nju.edu.cn/~zwsun/Cref.pdf http://math.nju.edu.cn/~zwsun/Cover.pdf
sameAs	Covering system Covering system Covering system Covering system Covering system Covering system Covering system
dbp:wikiPageUsesTemplate	dbt:OEIS dbt:Reflist dbt:Unsolved
has abstract	In mathematics, a covering system (also called a complete residue system) is a collection of finitely many residue classes whose union contains every integer. (en) En mathématiques, un système couvrant est un recouvrement fini de l'ensemble ℤ des entiers relatifs par des classes résiduelles, c'est-à-dire un ensemble fini de classes dont la réunion est égale à ℤ. Cette notion a été introduite par Paul Erdős en 1950. (fr) Покрывающая система (или полная покрывающая система) — это набор конечного числа классов вычетов , объединение которых покрывает все целые числа. (ru)
prov:wasDerivedFrom	wikipedia-en:Covering_system?oldid=1121870304&ns=0
page length (characters) of wiki page	7573 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Covering_system
is Link from a Wikipage to another Wikipage of	List of conjectures by Paul Erdős Paul Erdős Residue number system List of number theory topics Covering set Leon Mirsky Erdős–Straus conjecture Barycentric-sum problem Chinese remainder theorem Sun Zhiwei Herzog–Schönheim conjecture List of unsolved problems in mathematics Problems involving arithmetic progressions Pinwheel scheduling Complete Residue System Complete residual system Exact covering system
is Wikipage redirect of	Complete Residue System Complete residual system Exact covering system
is foaf:primaryTopic of	wikipedia-en:Covering_system

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