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RE: ? about Rule (rewritten)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg67212] RE: [mg67153] ? about Rule (rewritten)
*From*: "David Park" <djmp at earthlink.net>
*Date*: Sun, 11 Jun 2006 23:08:55 -0400 (EDT)
*Sender*: owner-wri-mathgroup at wolfram.com
Jack,
On my system, Version 5.2 it appears to work.
{y == z, t == 7, 1 <= x <= 2, u >= -4} /.
(a_) <= (w_) <= (b_) -> (a + b)/2
{y == z, t == 7, 3/2, u >= -4}
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: jackgoldberg at comcast.net [mailto:jackgoldberg at comcast.net]
To: mathgroup at smc.vnet.net
Hi,
My post on this topic was garbled. Here I hope is a clearer version :-).
I want to replace an inequality of the type 1 <= x <= 2 which appears in a
list some of whose entries are y==3 or z >= 1 and so forth. (This arose in
using Reduce on a set of linear inequalities.) My life is simpler if 1 <=
x <=2 is replace by an interior point of the interval, say x ==1.5. It
has frustrated me for about a week since I thought I knew the ins and outs
of Rule and ReplaceAll. So, 2 questions. The first and most important is
how to do it (keep in mind that the list I am speaking of is constructed by
programming and I do not want to examine it and make the replacement that
way). The second question is, why doesn't the following technique work?
(1) {y==z, t==7, 1 <=x<=2, u>=-4}/. (a_<=w_<=b_)->(a+b)/2
To save space, I choose not to write all my variations of trying this
including the obvious one of finding the FullForm of 1 <=x<=2 and using it
in (1). I might mention also that every now and then, in isolation from my
module, I have managed to make it work, not often but enough to delay my
plea for help. I am guessing that there is a pattern matching issue here
(sort of obvious comment) but I am at a loss anyway.
Incidentally I have designed a work around that is so combersome that if
there were a prize for the klutzest Mathematica code, this would be a
candidate for top prize.
Jack
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