Well, again I'm a bit stuck.
I have to prove that the metrics d1, dp (where p is from <1, ∞>) and d∞ in R^n are uniformly equivalent. The metrics are given with:
d1(a, b) = ∑|ai - bi|
dp(a, b) = (∑|ai - bi|^p)^(1/p)
d∞(a, b) = max{|ai - bi|, i = 1, ... ,n} (of course, the sums are...