Dave Mitchell wrote: > IIRC, all metrics of the form (x^n + y^n)^(1/n), n=1,2,...Inf > are strongly equivalent, ie they give rise to the *same* ordering. > (In the limit as n -> Inf, the metric is max(x,y).)
I'm sorry, YDNRC. Consider the distance from the origin to the points (0,6) and (3,4). Under the (x^1+y^1) metric (Manhattan distance), (0,6) is closer. Under the (x^2+y^2) metric (Pythogorean thm), (3,4) is closer. -- John Douglas Porter __________________________________________________ Do You Yahoo!? Sign up for SBC Yahoo! Dial - First Month Free http://sbc.yahoo.com
