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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- March 3rd 2012, 07:56 PMmetric89Help with proving metric space
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! - March 4th 2012, 03:06 AMPlatoRe: Help with proving metric space
- March 4th 2012, 03:53 AMpsolakiRe: Help with proving metric space