Timeline for What are the iterates of $x \mapsto 1 - \sqrt{1-x^2}$?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 1, 2023 at 21:02 | history | edited | Somos | CC BY-SA 4.0 |
Fixed obvious typo.
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| Jul 1, 2023 at 20:56 | history | edited | Somos | CC BY-SA 4.0 |
Rewording. Simplify equation (4).
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| Jul 1, 2023 at 18:45 | comment | added | Somos | @Gro-Tsen Thanks for the comment! I will edit my answer. | |
| Jul 1, 2023 at 18:27 | comment | added | Gro-Tsen | I'm confused as how your recursion for $g(y,m)$ is initiated: what is $g(y,1)$ for example? (You seem to define only $g(y,2^r)$, right?) Also, this seems to give a practical way to compute $f^{\circ\tau}$ numerically (extending the one contained in the first “edit“ of the question), but the question of why the limit in your last equation actually exists remains unclear (to me at least). | |
| Jun 29, 2023 at 21:05 | history | edited | Somos | CC BY-SA 4.0 |
Reworking and numbering equations.
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| Jun 29, 2023 at 20:40 | history | edited | Somos | CC BY-SA 4.0 |
Fixed obvious typo.
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| Jun 29, 2023 at 20:24 | history | edited | Somos | CC BY-SA 4.0 |
Added conjugate equation.
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| Jun 29, 2023 at 16:36 | history | answered | Somos | CC BY-SA 4.0 |