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[UFO] Attracting Fixpoints or attracting line?

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[UFO] Attracting Fixpoints or attracting line?
Gottfried Offline
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02/24/2010, 02:31 PM (This post was last modified: 02/24/2010, 02:35 PM by Gottfried.)
(02/24/2010, 11:16 AM)bo198214 Wrote: Hm, interesting idea.
For \( b>e^{1/e} \) this line would however have a gap near the real axis?

Mhh, possibly we find then the origin of the curves in my (very) old plots concerning the complex fixpoints of such real bases \( b>e^{1/e} \)

[Image: ComplexFixpoints.png]

and

[Image: RealvaluedYtraces2.png]

(where the black lines show the locus of the complex numbers t, such that \( t^{1/t} = b > e^{1/e} \) and b is real using that idea...

Gottfried
Gottfried Helms, Kassel
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RE: [UFO] Attracting Fixpoints or attracting line? - by Gottfried - 02/24/2010, 02:31 PM

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