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Ackermann fixed points - Printable Version +- Tetration Forum (https://tetrationforum.org) +-- Forum: Tetration and Related Topics (https://tetrationforum.org/forumdisplay.php?fid=1) +--- Forum: Hyperoperations and Related Studies (https://tetrationforum.org/forumdisplay.php?fid=11) +--- Thread: Ackermann fixed points (/showthread.php?tid=1642) |
Ackermann fixed points - Daniel - 09/18/2022 Edit: Posting while asleep ![]() Generalizing \[^\infty z=a \implies z = a^{\frac{1}{a} }\] gives the base associated with the fixed point for the hyperoperators. \[z \uparrow^n \infty = a \implies z = a \uparrow^{n-1} (a \uparrow^{n-1} {-1})\] |