- #1
hypermonkey2
- 102
- 0
Homework Statement
Show that d and p are equivalent metrics on X where p=d(x,y)/(1+d(x,y))
Homework Equations
ive proved already that p is indeed a metric too (if d is a metric).
The Attempt at a Solution
I believe I am supposed to use the Lipschitz condition where there exits constants A and B st for all x,y,
Ap<=d<=Bp
but i think i can actually prove that one of these two constants cannot exist... and i using the wrong definitions? Thanks!