On Thu, Jul 11, 2002 at 08:20:21PM -0700, John Porter wrote: > > 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.
D'oh! Perhaps I should get a job with WorldCom? -- Lady Nancy Astor: If you were my husband, I would flavour your coffee with poison. Churchill: Madam - if I were your husband, I would drink it.
