Covering system (original) (raw)

Property Value
dbo: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)
dbo:wikiPageExternalLink http://math.nju.edu.cn/~zwsun/Cref.pdf http://math.nju.edu.cn/~zwsun/Cover.pdf
dbo:wikiPageID 2297820 (xsd:integer)
dbo:wikiPageLength 7573 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID 1121870304 (xsd:integer)
dbo:wikiPageWikiLink dbr:John_Selfridge dbr:Paul_Erdős dbr:Residue_number_system dbr:Richard_Rado dbr:Covering_set dbr:Mathematics dbr:Leon_Mirsky dbr:Composite_number dbr:Primefree_sequence dbr:Even_number dbr:Fibonacci_number dbr:PDF dbr:Recurrence_relation dbr:Harold_Davenport dbr:Herbert_Wilf dbc:Unsolved_problems_in_number_theory dbr:Chinese_remainder_theorem dbr:Herzog–Schönheim_conjecture dbr:Donald_J._Newman dbr:Lovász_local_lemma dbr:Residue_class dbr:Relatively_prime dbr:Zhi-Wei_Sun
dbp:wikiPageUsesTemplate dbt:OEIS dbt:Reflist dbt:Unsolved
dct:subject dbc:Unsolved_problems_in_number_theory
rdf:type yago:WikicatUnsolvedProblemsInMathematics yago:Abstraction100002137 yago:Attribute100024264 yago:Condition113920835 yago:Difficulty114408086 yago:Problem114410605 yago:State100024720
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)
rdfs:label Covering system (en) Système couvrant (fr) Покрывающая система (ru)
owl:sameAs freebase:Covering system yago-res:Covering system wikidata:Covering system dbpedia-fr:Covering system dbpedia-hu:Covering system dbpedia-ru:Covering system https://global.dbpedia.org/id/4qpjh
prov:wasDerivedFrom wikipedia-en:Covering_system?oldid=1121870304&ns=0
foaf:isPrimaryTopicOf wikipedia-en:Covering_system
is dbo:wikiPageRedirects of dbr:Complete_Residue_System dbr:Complete_residual_system dbr:Exact_covering_system
is dbo:wikiPageWikiLink of dbr:List_of_conjectures_by_Paul_Erdős dbr:Paul_Erdős dbr:Residue_number_system dbr:List_of_number_theory_topics dbr:Covering_set dbr:Leon_Mirsky dbr:Erdős–Straus_conjecture dbr:Barycentric-sum_problem dbr:Chinese_remainder_theorem dbr:Sun_Zhiwei dbr:Herzog–Schönheim_conjecture dbr:List_of_unsolved_problems_in_mathematics dbr:Problems_involving_arithmetic_progressions dbr:Pinwheel_scheduling dbr:Complete_Residue_System dbr:Complete_residual_system dbr:Exact_covering_system
is foaf:primaryTopic of wikipedia-en:Covering_system