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 Conjectures bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 10/09/2007, 09:23 PM (This post was last modified: 10/09/2007, 09:24 PM by bo198214.) Phew, lots of questions. But regarding the dependency from a specific slog, there surely is one regarding the slog derivative (which is quite clear) and regarding the equilibrium: For example if we consider the just discussed regular slog at the lower real fixed point $a$ $\alpha_b(x)=\log_{\ln(a)}\left(\lim_{n\to\infty} \frac{\exp_b^{\circ n}(x)}{\ln(a)^n}\right)$, $\text{rslog}_b(x)=\alpha_b(x)-\alpha_b(1)=\log_{\ln(a)}\left(\lim_{n\to\infty}\frac{\exp_b^{\circ n}(x)}{\exp_b^{\circ n}(1)}\right)$ there is a dependency of the real part from the imaginary argument part. For example for $b=\sqrt{2},a=2$: $\text{rslog}_b(1)=0$ and $\text{rslog}_b(1+\frac{I}{2})=-0.2625038052+0.7542335672*I$ « Next Oldest | Next Newest »

 Messages In This Thread Conjectures - by andydude - 10/09/2007, 06:57 PM RE: Conjectures - by bo198214 - 10/09/2007, 09:23 PM RE: Conjectures - by jaydfox - 10/10/2007, 07:43 AM RE: Conjectures - by jaydfox - 12/04/2007, 12:23 AM RE: Conjectures - by jaydfox - 12/04/2007, 05:21 AM RE: Conjectures - by andydude - 12/04/2007, 10:35 PM RE: Conjectures - by andydude - 01/09/2008, 10:58 PM RE: Conjectures - by andydude - 10/13/2007, 04:51 PM RE: Conjectures - by andydude - 10/13/2007, 05:13 PM

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