i'm looking for the proof of minkowski metric in infinite that become the largest of the differences of the coordinates of x and y.
can anybody help me please?
The Minkowski distance between two points in of order is:Originally Posted by wosci
The problem here is to show that:
To prove this we observe that if we let then:
But the limits of both ends of this chain of inequalities as are the same and equal to , hence:
which proves the required result.