08/25/2009, 10:20 PM
(08/25/2009, 09:59 PM)jaydfox Wrote: because there are no other singularities in the right-half of the complex plane (for real part greater than 0.31813...), at least not in this particular branch.How do you know?
(08/25/2009, 10:02 PM)jaydfox Wrote:(08/25/2009, 09:55 PM)bo198214 Wrote: And now prove it!Maybe I wasn't clear: obviously I don't get the log exactly, but I do get something that is close to the power series for log, and with increasing matrix size it appears to be converge to the log, so empirically speaking it does seem to be resolving to the log.
I could already show that the result does not depend on x0 (hopefully its on the forum), but not that it is log.
Oehm, thatswhy I said it. First you verify it empirically then you prove it. Thats how it often goes in mathematics.

