Fixed points of MCLaren's series

I was looking further at Brian McLaren's iterated absolute
log function and noticed that the value 2.50618 generates very
nearly a fixed point. The log of this number is.39901298 and this
value remains constant throughout the iterations until the errors
accumulate. A more exact value may be determined by solving
the equation X+log(X)=0. The number x 1200 is 478.815576 (29/22).
By using the natural log rather than the base-10 log, one gets
.56714329 which times 1200 is 680.5719 (37/25). One may start with
1.763223 also.

--John

Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Sun, 5 Nov 1995 18:58 +0100
Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
for id IAA06425; Sun, 5 Nov 1995 08:58:55 -0800
Date: Sun, 5 Nov 1995 08:58:55 -0800
Message-Id:
Errors-To: madole@ella.mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu

> Maybe we could convince him to get a phone but leave it hooked up to a
> modem permanently...and thus accept e-mail but no voice-mail...

Yeah, I tried that. He complained that E-mail would consume too much of his
time - as if E-mail were any different from TV or time spent with friends in
that regard. He doesn't seem to realize that E-mail is something that must, but
can, be balanced along with everything else in our lives.

He also thinks that answering machines (by which I mean leaving messages on
one) are "an instrument of the devil" (direct quote spoken fecetiously).

I personally would prefer that John and the rest of us refuse to post his
messages until he's ready to enter the modern world. The attitude partly comes
from it being so difficult to collaborate with him on the Ivor Darreg Memorial
Fund's CD projects because of that.


Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Mon, 6 Nov 1995 00:30 +0100
Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
for id OAA10167; Sun, 5 Nov 1995 14:30:11 -0800
Date: Sun, 5 Nov 1995 14:30:11 -0800
Message-Id: <9511051429.aa12758@cyber.cyber.net>
Errors-To: madole@ella.mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu

You guys stop pickin' on Brian!

=========================================================================
| Allen Strange |
| http://cadre.sjsu.edu/music/strange.html |
|_______________________________________________________________________|
| Electro-Acoustic Music | International Computer Music Association |
| Studios | 2040 Polk St., Suite 330 |
| School of Music | San Francisco, CA 94109 |
| San Jose State University | Telephone + (408) 395-2538 |
| 1 Washington Square | Fax + (408) 395-2648 |
| San Jose, CA 95192-0095 | Email: icma@sjsuvm1.sjsu.edu |
| Telephone +(408) 924-4646 | |
| Fax +(408) 924-4773 | We hope to see you at the ICMC96 |
| | On the Edge in Hong Kong |
| | ICMC96@cs.ust.hk for info |
|=======================================================================

Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Mon, 6 Nov 1995 02:41 +0100
Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
for id QAA12478; Sun, 5 Nov 1995 16:41:37 -0800
Date: Sun, 5 Nov 1995 16:41:37 -0800
Message-Id: <9511051633375384@csst.com>
Errors-To: madole@ella.mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu

I said:
> ... refuse to post his
> messages until he's ready to enter the modern world. The attitude partly
> comes from it being so difficult to collaborate with him on the Ivor Darreg
> Memorial Fund's CD projects because of that.

Oooop. Typo there: "The attitude..." should read "That attitude...". As in
"That sort of attitude on my part...". He doesn't seem to grasp how difficult
not being able to call him makes a collaborative project.

Sorry, I'm not trying to air dirty laundry, it just gets frustrating, and I
wouldn't mind if others who might have felt this frustration, would prod at him
too.


Received: from eartha.mills.edu [144.91.3.20] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Mon, 6 Nov 1995 07:04 +0100
Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
for id VAA14668; Sun, 5 Nov 1995 21:04:22 -0800
Date: Sun, 5 Nov 1995 21:04:22 -0800
Message-Id:
Errors-To: madole@ella.mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu

With all of Brian's finger-pointing and name-calling, much of which is
warranted, it is amusing that he never fails to prove himself the biggest
pseudoscientist of them all. Observe his "proof" that there are no live
acoustic music performances anymore. Since I have performed in and attended
more than a few of these, and the total quantity of music contained therein
is of the same order of magnitude as the recorded music I own, I must
conclude that his reality is different from my own. Nothing new here.
Moreover, I would be quite happy in a world where live acoustic music was
the only music we had. Technology need not be limited to electronic means.


Received: from ns.ezh.nl [137.174.112.59] by vbv40.ezh.nl
with SMTP-OpenVMS via TCP/IP; Wed, 11 Sep 1996 00:06 +0200
Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA18645; Wed, 11 Sep 1996 00:08:24 +0200
Received: from eartha.mills.edu by ns (smtpxd); id XA18326
Received: from by eartha.mills.edu via SMTP (940816.SGI.8.6.9/930416.SGI)
for id PAA15753; Tue, 10 Sep 1996 15:08:22 -0700
Date: Tue, 10 Sep 1996 15:08:22 -0700
Message-Id: <54960910220545/0005695065PK5EM@MCIMAIL.COM>
Errors-To: madole@ella.mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu