Hi All, i'm getting lost here Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1). It's just the triangle inequality that I can't seem to nut out! Any help would be much appreciated! Thanks!
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Originally Posted by metric89 Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1). It's just the triangle inequality that I can't seem to nut out! Lemma If then Then let
Originally Posted by metric89 Hi All, i'm getting lost here Let (X,d) be a metric space. Show that (X,c) is a metric space where c(x,y) = d(x,y)/(d(x,y)+1). It's just the triangle inequality that I can't seem to nut out! Any help would be much appreciated! Thanks! O.K We have: . Now if you can prove that: AND ,Then you are done Start with : AND
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