source file: mills2.txt Date: Sat, 4 Nov 1995 21:05:59 -0800 Subject: Fixed points of MCLaren's series From: "John H. Chalmers" 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