# Re: Idempotence and "Replication Insensitivity" are equivalent ?

Date: 23 Sep 2006 12:07:49 -0700

Message-ID: <1159038469.119222.126060_at_b28g2000cwb.googlegroups.com>

Phil Carmody wrote:

*> "vc" <boston103_at_hotmail.com> writes:
**> > Phil Carmody wrote:
**> > > pamelafluente_at_libero.it writes:
*

> > > > the Median is the value which minimize the sum of absolute differences

*> > > >
**> > > > ie. sum | xi - c | is minimum for c = MEDIAN()
**> > >
**> > > If I were Bob Silverman, you'd get one heck of a flaming for
**> > > posting something so obviously somewhere in between unintelligible
**> > > and meaningless (including both endpoints) to sci.math.
**> >
**> > Are saying that the median does not have the property that it minimizes
**> > the sum of absolute deviations ?
**>
**> I'm not saying that. I'm saying that the property does not always
**> uniquely define a median ("*the* value", emphasis mine), and therefore
**> cannot be used as the definition therefor.
*

So what definition does define a median uniquely ?

>There are some sets, such

*> as {0, 1}, where every value between 0 and 1 (including both endpoints)
**> is minimum.
*

*>
*

> I thought I dropped enough of a hint in my prior post, obviously not.

*>
**> Phil
**> --
**> "Home taping is killing big business profits. We left this side blank
**> so you can help." -- Dead Kennedys, written upon the B-side of tapes of
**> /In God We Trust, Inc./.
*

Received on Sat Sep 23 2006 - 21:07:49 CEST