| dbo:abstract |
في الرياضيات، العلاقة التسامحية (بالإنجليزية: Tolerance Relation) هي علاقة انعكاسية وتناظرية، لا يجب أن تكون متعدية. (ar) En mathématiques, une relation de tolérance est une relation réflexive, symétrique mais non transitive. L'ensemble décrit par ce type de relation est un espace de tolérance. (fr) In universal algebra and lattice theory, a tolerance relation on an algebraic structure is a reflexive symmetric relation that is compatible with all operations of the structure. Thus a tolerance is like a congruence, except that the assumption of transitivity is dropped. On a set, an algebraic structure with empty family of operations, tolerance relations are simply reflexive symmetric relations. A set that possesses a tolerance relation can be described as a tolerance space. Tolerance relations provide a convenient general tool for studying indiscernibility/indistinguishability phenomena. The importance of those for mathematics had been first recognized by Poincaré. (en) 보편 대수학과 격자 이론에서 허용 관계(영어: tolerance relation)는 대수 구조의 연산과 호환되는 반사 대칭 관계이다. 즉, 합동 관계에서 추이성 조건을 없애 얻는 개념이다. 허용 관계에 대한 몫 대수는 합동 관계에 대한 몫 대수를 일반화한다. 합동 관계와 달리, 허용 관계에 대한 몫 대수는 존재하지 않을 수 있으며, 몫 대수는 (만약 존재한다면) 항등식들을 보존할 필요가 없다. (ko) 在泛代数和格理论中，相容关系（tolerance relation）是指被代数结构的每个运算所保持的自反对称关系。是同余关系去掉传递性的要求而得到的概念。 具体内容参考：左孝凌离散数学，石纯一数理逻辑与集合论，对“相容关系与覆盖”的再认识。注意，左孝凌和再认识一文对完全覆盖的定义是不同的，左文定义的完全覆盖和相容关系是一一对应的，而再认识一文定义的完全覆盖和相容关系不是一一对应的。 (zh) |
| dbo:wikiPageExternalLink |
http://mizar.org/fm/1991-2/pdf2-1/toler_1.pdf |
| dbo:wikiPageID |
26014321 (xsd:integer) |
| dbo:wikiPageLength |
14086 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
1113452861 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Module_(mathematics) dbr:Binary_relation dbr:Binary_relations dbr:Algebraic_structure dbc:Universal_algebra dbc:Approximations dbr:Vector_space dbr:Dependency_relation dbr:Universal_algebra dbc:Lattice_theory dbr:One-to-one_correspondence dbr:Quasitransitive_relation dbr:Quotient_set dbr:Graph_(discrete_mathematics) dbr:Modular_lattice dbr:Congruence_relation dbc:Reflexive_relations dbc:Symmetric_relations dbr:Equivalence_class dbr:Transitive_relation dbr:Distributive_lattice dbr:Lattice_(order) dbr:Rough_set dbr:Partition_of_a_set dbr:Direct_product dbr:Ring_(mathematics) dbr:Group_(mathematics) dbr:Henri_Poincaré dbr:Isomorphic dbr:Cover_(topology) dbr:Symmetric_relation dbr:Zorn's_lemma dbr:Boolean_algebra dbr:Reflexive_relation dbr:Set_(mathematics) dbr:Maximal_element dbr:Variety_(universal_algebra) dbr:Compatible_relation dbr:Lattice_theory dbr:Maximal_clique dbr:Cover_(mathematics) dbr:Indiscernibility dbr:Algebraic_lattice dbr:Convex_sublattice |
| dbp:wikiPageUsesTemplate |
dbt:Doi dbt:Reflist dbt:Rp dbt:Short_description |
| dct:subject |
dbc:Universal_algebra dbc:Approximations dbc:Lattice_theory dbc:Reflexive_relations dbc:Symmetric_relations |
| gold:hypernym |
dbr:Relation |
| rdf:type |
dbo:Agent |
| rdfs:comment |
في الرياضيات، العلاقة التسامحية (بالإنجليزية: Tolerance Relation) هي علاقة انعكاسية وتناظرية، لا يجب أن تكون متعدية. (ar) En mathématiques, une relation de tolérance est une relation réflexive, symétrique mais non transitive. L'ensemble décrit par ce type de relation est un espace de tolérance. (fr) In universal algebra and lattice theory, a tolerance relation on an algebraic structure is a reflexive symmetric relation that is compatible with all operations of the structure. Thus a tolerance is like a congruence, except that the assumption of transitivity is dropped. On a set, an algebraic structure with empty family of operations, tolerance relations are simply reflexive symmetric relations. A set that possesses a tolerance relation can be described as a tolerance space. Tolerance relations provide a convenient general tool for studying indiscernibility/indistinguishability phenomena. The importance of those for mathematics had been first recognized by Poincaré. (en) 在泛代数和格理论中，相容关系（tolerance relation）是指被代数结构的每个运算所保持的自反对称关系。是同余关系去掉传递性的要求而得到的概念。 具体内容参考：左孝凌离散数学，石纯一数理逻辑与集合论，对“相容关系与覆盖”的再认识。注意，左孝凌和再认识一文对完全覆盖的定义是不同的，左文定义的完全覆盖和相容关系是一一对应的，而再认识一文定义的完全覆盖和相容关系不是一一对应的。 (zh) |
| rdfs:label |
علاقة تسامح (رياضيات) (ar) Relation de tolérance (fr) 허용 관계 (ko) Tolerance relation (en) 相容关系 (zh) |
| owl:sameAs |
freebase:Tolerance relation wikidata:Tolerance relation dbpedia-ar:Tolerance relation dbpedia-fr:Tolerance relation dbpedia-ko:Tolerance relation dbpedia-zh:Tolerance relation https://global.dbpedia.org/id/4wJuy |
| prov:wasDerivedFrom |
wikipedia-en:Tolerance_relation?oldid=1113452861&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Tolerance_relation |
| is dbo:wikiPageDisambiguates of |
dbr:Tolerance |
| is dbo:wikiPageRedirects of |
dbr:Tolerance_space |
| is dbo:wikiPageWikiLink of |
dbr:Homogeneous_relation dbr:Relation_(mathematics) dbr:Dependency_relation dbr:Equivalence_relation dbr:Tolerance dbr:Near_sets dbr:Tolerance_space |
| is foaf:primaryTopic of |
wikipedia-en:Tolerance_relation |