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!
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!