Minkowski

William Sethares <sethares@eceserv0.ece.wisc.edu> wrote:

>Dave, there are other uses of the Minkowski metric.
>...
>Basically, the result is that any value of p>=1 gives a well defined
>norm, and hence might be a candidate for a distance metric in these
>discussions.

Thanks Bill and Vania. I stand corrected on my continuous vs discrete
statement. However, Manuel please note, it is still clear that "Minkowski"
is not a synonym for "taxicab"/"city-block".

Regards,
-- Dave Keenan
http://dkeenan.com

Dave Keenan wrote:
>Thanks Bill and Vania. I stand corrected on my continuous vs discrete
>statement. However, Manuel please note, it is still clear that "Minkowski"
>is not a synonym for "taxicab"/"city-block".

The Minkowski distance you explained in an earlier post is indeed a
different
one. But the "city-block" or "Manhattan distance" is often, rightly or
wrongly,
called the Minkowski first-order metric. So to avoid confusion I won't use
the
term and change it to city-block.

Manuel Op de Coul