Hello,
I'm working on this problem:
If t(P,Q)=max(|x1 - x2|,|y1 - y2|), show that t is a metric for the set of all ordered pairs of real numbers.
I have proved the first three parts of the definition of a metric
1) t(P,Q) >0
2) t(P,Q) =0 IFF P=Q
3) t(P,Q) = t(Q,P)
all not so hard.
I'm...