Class: 'Finite-dimensional space'
http://cll.niimm.ksu.ru/ontologies/mathematics#E1088
Annotations (3)
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comment "the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V.
For every vector space there exists a basis (if one assumes the axiom of choice), and all bases of a vector space have equal cardinality (see dimension theorem for vector spaces); as a result the dimension of a vector space is uniquely defined. We say V is finite-dimensional if the dimension of V is finite.
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label "Finite-dimensional space" (en)
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label "конечномерное пространство" (ru)
Superclasses (1)
Usage (1)
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Class: 'Finite-dimensional space'