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- Symmetric_relation abstract "In mathematics, a binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a.In mathematical notation, this is:Note: symmetry is not the exact opposite of antisymmetry (aRb and bRa implies b = a). There are relations which are both symmetric and antisymmetric (equality and its subrelations, including, vacuously, the empty relation), there are relations which are neither symmetric nor antisymmetric (the relation "divides" on the set ℤ; the relation "preys on" in biological sciences), there are relations which are symmetric and not antisymmetric (congruence modulo n), and there are relations which are not symmetric but are antisymmetric ("is less than or equal to").A symmetric relation that is also transitive and reflexive is an equivalence relation.".
- Symmetric_relation thumbnail Bothodd.png?width=300.
- Symmetric_relation wikiPageID "200459".
- Symmetric_relation wikiPageRevisionID "558450040".
- Symmetric_relation hasPhotoCollection Symmetric_relation.
- Symmetric_relation subject Category:Mathematical_relations.
- Symmetric_relation subject Category:Symmetry.
- Symmetric_relation comment "In mathematics, a binary relation R over a set X is symmetric if it holds for all a and b in X that if a is related to b then b is related to a.In mathematical notation, this is:Note: symmetry is not the exact opposite of antisymmetry (aRb and bRa implies b = a).".
- Symmetric_relation label "Relación simétrica".
- Symmetric_relation label "Relacja symetryczna".
- Symmetric_relation label "Relazione simmetrica".
- Symmetric_relation label "Symmetric relation".
- Symmetric_relation label "Symmetrische Relation".
- Symmetric_relation label "Симметричное отношение".
- Symmetric_relation label "علاقة تناظرية".
- Symmetric_relation label "对称关系".
- Symmetric_relation label "対称関係".
- Symmetric_relation sameAs Symetrická_relace.
- Symmetric_relation sameAs Symmetrische_Relation.
- Symmetric_relation sameAs Relación_simétrica.
- Symmetric_relation sameAs Simetria-erlazio.
- Symmetric_relation sameAs Relazione_simmetrica.
- Symmetric_relation sameAs 対称関係.
- Symmetric_relation sameAs 대칭관계.
- Symmetric_relation sameAs Relacja_symetryczna.
- Symmetric_relation sameAs m.01cgtq.
- Symmetric_relation sameAs Q621461.
- Symmetric_relation sameAs Q621461.
- Symmetric_relation wasDerivedFrom Symmetric_relation?oldid=558450040.
- Symmetric_relation depiction Bothodd.png.
- Symmetric_relation isPrimaryTopicOf Symmetric_relation.
