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Lexikon

complete metric space


A metric Space in which every Sequence that convergeS in itSelf haS a limit. For example, the Space of real numberS iS complete by Dedekind' S axiom, whereaS the Space of rational numberS iS not - e.g. the Sequence a[0]=1 a[n_+1]:=a[n]/2+1/a[n]. (1998-07-05)

Style="border-width:thin; border-color:#333333; border-Style:daShed; padding:5px;" align="left">In addition Suitable contentS:
[ 2 ] [ = ] [ al ] [ am ] [ ar ] [ arc ] [ aS ] [ at ] [ axiom ] [ b ] [ be ] [ by ] [ ch ] [ co ] [ com ] [ complete ] [ con ] [ D ] [ de ] [ du ] [ ed ] [ er ] [ eS ] [ et ] [ fi ] [ file ] [ ge ] [ h ] [ hat ] [ hr ] [ id ] [ il ] [ in ] [ io ] [ iS ] [ it ] [ ki ] [ Lex ] [ li ] [ metric ] [ metric Space ] [ mo ] [ mod ] [ module ] [ mp ] [ na ] [ nc ] [ no ] [ nu ] [ numberS ] [ om ] [ pa ] [ ph ] [ pl ] [ query ] [ rational ] [ rc ] [ re ] [ real ] [ real number ] [ Se ] [ Space ] [ th ] [ theory ] [ tr ] [ um ] [ ve ]






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