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 Jabotinsky's iterative logarithm bo198214 Administrator Posts: 1,391 Threads: 90 Joined: Aug 2007 05/23/2008, 09:31 AM Ivars Wrote:Would that be true also for imaginary t? t=I, like: $\text{ilog}(f^{\circ I}) = I \text{ilog}(f)$ yes. As one can see from the derivation it is true for any complex iteration counts. Quote:The functions having ilog property ilog(fg)=ilog (f) + ilog(g) seem to be rather wide class, am I right? Its not one class, there are equivalence classes where $f$ is considered to be equivalent to $g$ if there is some $t\neq 0$ such that $f=g^{\circ t}$, for each equivalent $f$ and $g$ this property holds. « Next Oldest | Next Newest »

 Messages In This Thread Jabotinsky's iterative logarithm - by bo198214 - 05/21/2008, 06:00 PM RE: Jabotinsky's iterative logarithm - by Ivars - 05/22/2008, 09:02 AM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/22/2008, 10:48 AM RE: Jabotinsky's iterative logarithm - by Ivars - 05/22/2008, 01:13 PM RE: Jabotinsky's iterative logarithm - by andydude - 05/22/2008, 05:53 PM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/22/2008, 06:48 PM RE: Jabotinsky's iterative logarithm - by andydude - 05/22/2008, 07:43 PM RE: Jabotinsky's iterative logarithm - by andydude - 05/22/2008, 09:22 PM RE: Jabotinsky's iterative logarithm - by Ivars - 05/23/2008, 07:05 AM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/23/2008, 09:31 AM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/23/2008, 09:24 AM RE: Jabotinsky's iterative logarithm - by andydude - 05/23/2008, 07:43 PM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/23/2008, 10:36 PM RE: Jabotinsky's iterative logarithm - by andydude - 05/24/2008, 06:37 AM RE: Jabotinsky's iterative logarithm - by andydude - 06/14/2008, 12:44 AM RE: Jabotinsky's iterative logarithm - by Gottfried - 05/23/2008, 11:06 PM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/24/2008, 05:49 AM RE: Jabotinsky's iterative logarithm - by Gottfried - 05/24/2008, 06:56 AM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/24/2008, 08:44 AM RE: Jabotinsky's iterative logarithm - by Gottfried - 05/24/2008, 09:24 AM RE: Jabotinsky's iterative logarithm - by bo198214 - 05/24/2008, 10:03 AM RE: Jabotinsky's iterative logarithm - by Gottfried - 05/24/2008, 04:03 PM

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