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- Dependence_relation abstract "In mathematics, a dependence relation is a binary relation which generalizes the relation of linear dependence.Let be a set. A (binary) relation between an element of and a subset of is called a dependence relation, written , if it satisfies the following properties: if , then if , then there is a finite subset of , such that if is a subset of such that implies , then implies if but for some , then .Given a dependence relation on , a subset of is said to be independent if for all If , then is said to span if for every is said to be a basis of if is independent and spans Remark. If is a non-empty set with a dependence relation , then always has a basis with respect to Furthermore, any two bases of have the same cardinality.".
- Dependence_relation wikiPageID "2975155".
- Dependence_relation wikiPageRevisionID "487280987".
- Dependence_relation hasPhotoCollection Dependence_relation.
- Dependence_relation id "5792".
- Dependence_relation title "Dependence relation".
- Dependence_relation subject Category:Linear_algebra.
- Dependence_relation subject Category:Mathematical_relations.
- Dependence_relation comment "In mathematics, a dependence relation is a binary relation which generalizes the relation of linear dependence.Let be a set.".
- Dependence_relation label "Dependence relation".
- Dependence_relation sameAs m.08h3wr.
- Dependence_relation sameAs Q5260613.
- Dependence_relation sameAs Q5260613.
- Dependence_relation wasDerivedFrom Dependence_relation?oldid=487280987.
- Dependence_relation isPrimaryTopicOf Dependence_relation.