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Bummer!
#16
Hmm, well, I solved at the origin, so I can only speak for the singularity at 2, though I had already assumed singularities at 2 and 4. Prior to discovering that the rslogs at the two points were different, I would have expected both singularities to be simple logarithms in the limit as we approach the fixed points. But now I suspect that the singularity at z=4 will be a little more screwed up.

Anyway, I can't very well shift the series to be centered at z=3, since I'd have to go around the singularity at z=2, and moving a distance of 4 or 5 units, given a radius of 2, would strip off way too much precision (I'd need maybe 6 to 10 small shifts).

I haven't yet tried shifting the system before solving, though I suppose it's possible in principle, and I'd be curious to see if it worked. The mental gymnastics involved to derive the system prior to solving are a bit beyond me this morning (I hardly slept), so I'd have to think about it this evening.
~ Jay Daniel Fox
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Messages In This Thread
Bummer! - by bo198214 - 10/05/2007, 10:18 AM
RE: Bummer! - by Gottfried - 10/05/2007, 10:56 AM
RE: Bummer! - by bo198214 - 10/05/2007, 11:17 AM
RE: Bummer! - by bo198214 - 10/06/2007, 07:05 AM
RE: Bummer! - by bo198214 - 10/06/2007, 09:18 AM
RE: Bummer! - by nuninho1980 - 05/29/2011, 09:37 PM
RE: Bummer! - by bo198214 - 05/29/2011, 10:11 PM
RE: Bummer! - by nuninho1980 - 05/30/2011, 01:13 AM
RE: Bummer! - by sheldonison - 05/30/2011, 03:25 PM
RE: Bummer! - by bo198214 - 05/31/2011, 09:05 AM
RE: Bummer! - by JmsNxn - 05/31/2011, 09:06 PM
RE: Bummer! - by sheldonison - 06/01/2011, 03:03 AM
RE: Bummer! - by bo198214 - 06/01/2011, 01:16 PM
RE: Bummer! - by jaydfox - 10/07/2007, 04:26 PM
RE: Bummer! - by bo198214 - 10/07/2007, 06:16 PM
RE: Bummer! - by jaydfox - 10/07/2007, 07:48 PM
RE: Bummer! - by jaydfox - 10/15/2007, 08:36 PM
RE: Bummer! - by bo198214 - 11/02/2007, 08:30 PM
RE: Bummer! - by jaydfox - 11/02/2007, 10:31 PM
RE: Bummer! - by bo198214 - 11/02/2007, 11:06 PM
RE: Bummer! - by jaydfox - 11/07/2007, 02:22 PM
RE: Bummer! - by bo198214 - 11/07/2007, 02:27 PM
RE: Bummer! - by jaydfox - 11/26/2007, 04:37 PM
RE: Bummer! - by jaydfox - 11/04/2007, 02:24 AM
RE: Bummer! - by bo198214 - 11/06/2007, 11:33 AM
RE: Bummer! - by jaydfox - 11/04/2007, 02:32 AM
RE: Bummer! - by jaydfox - 11/06/2007, 01:34 PM
RE: Bummer! - by bo198214 - 11/06/2007, 02:06 PM
RE: Bummer! - by Gottfried - 11/07/2007, 08:32 AM
RE: Bummer! - by jaydfox - 11/08/2007, 02:16 AM
RE: Bummer! - by bo198214 - 11/08/2007, 01:14 PM
RE: Bummer! - by jaydfox - 11/09/2007, 04:59 AM
RE: Bummer! - by jaydfox - 11/09/2007, 05:12 AM
RE: Bummer! - by bo198214 - 11/12/2007, 08:45 PM
RE: Bummer! - by jaydfox - 11/13/2007, 08:36 AM
RE: Bummer! - by jaydfox - 11/09/2007, 07:04 AM
RE: Bummer! - by jaydfox - 11/13/2007, 01:47 AM
RE: Bummer! - by bo198214 - 11/13/2007, 10:36 AM
RE: Bummer! - by jaydfox - 11/13/2007, 02:23 PM
RE: Bummer! - by bo198214 - 11/13/2007, 02:41 PM
Bummer conclusio - by bo198214 - 03/12/2008, 09:20 PM
RE: Bummer! - by Kouznetsov - 04/18/2009, 12:46 PM
RE: Bummer! - by andydude - 04/21/2009, 08:28 PM
RE: Bummer! - by bo198214 - 04/21/2009, 09:02 PM
RE: Bummer! - by andydude - 04/22/2009, 11:33 PM
RE: Bummer! - by bo198214 - 04/23/2009, 08:39 AM
RE: Bummer! - by bo198214 - 04/23/2009, 09:01 AM
RE: Bummer! - by Kouznetsov - 04/18/2009, 11:24 AM



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