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 Tetration FAQ Discussion andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 12/17/2007, 07:31 PM The more I think about it, the more I think that the FAQ and the formula sheet should be combined. Here is a combined outline for the possible merge of the two: Preamble Introduction to Hyper-operators What is the Ackermann function? Hyper-operator notation Hyper-operator terminology Hyper-operator identities Introduction to Tetration Tetration as the hyper-4-operator Tetration notation and terminology Sequence of n-th tetrates Standard extensions of tetration Extending tetration to zero base Extending tetration to complex bases Extending tetration to negative heights Extending tetration to infinite heights Introduction to Iteration Dynamical systems translation equation Abel's functional equation Schroeder's functional equation Boettcher's functional equation Julia's functional equation Tetration vs. Iterated Exp Exponentiation and factorials Table of exponentiation Extension of exponentiation Extension of factorials Extension of super-factorials Topological conjugacy Lambert-W-like conjugates (srt2(x), W(x), x^^oo) Exponential-like conjugates (b^x = (h^(1/h))^x, h^x - 1) Topological conjugacy of the super-logarithm Other extensions of Tetration Ingolf Dahl's solution Ioannis Galidakis' solution Daniel Geisler's solution Gottfried Helms' solution Robert Munafo's solution Cliff Nelson's solution Peter Walker's solution Andrew Robbins' solution Jay D. Fox's solution Other extensions of Hyper-operators Bromer's mixed hyper-operators Munafo's lower hyper-operators Trappmann's binary-tree hyper-operators Trappmann's associative/commutative hyper-operators Trappmann's balanced hyper-operators @Henryk If you could provide the TeX source for your FAQ, I will combine it with the formula sheet... Andrew Robbins « Next Oldest | Next Newest »

 Messages In This Thread Tetration FAQ Discussion - by bo198214 - 08/09/2007, 12:07 AM Literature - by Gottfried - 11/23/2007, 04:30 PM RE: Literature - by andydude - 12/17/2007, 07:31 PM RE: Tetration FAQ - by andydude - 01/13/2008, 08:43 AM RE: Tetration FAQ - by Ivars - 01/13/2008, 10:17 AM RE: Tetration FAQ - by GFR - 01/13/2008, 04:02 PM RE: Tetration FAQ - by andydude - 01/16/2008, 04:13 AM RE: Tetration FAQ Discussion - by Gottfried - 07/17/2008, 10:34 AM FAQ-discuss: What is a fixpoint? - by Gottfried - 07/17/2008, 10:45 AM FAQ-discuss: What does f o g mean? - by Gottfried - 07/17/2008, 10:47 AM FAQ-discuss: What does half-/ fractional-/continuous-/complex iteration mean? - by Gottfried - 07/17/2008, 10:48 AM RE: FAQ-discuss: What does half-/ fractional-/continuous-/complex iteration mean? - by andydude - 07/17/2008, 02:52 PM Intro and Formula sheet - by andydude - 11/13/2007, 01:21 AM RE: Intro and Formula sheet - by jaydfox - 11/13/2007, 02:39 AM RE: Intro and Formula sheet - by andydude - 11/13/2007, 03:15 AM RE: Intro and Formula sheet - by andydude - 11/13/2007, 03:25 AM RE: Intro and Formula sheet - by Gottfried - 11/13/2007, 06:08 AM RE: Intro and Formula sheet - by Gottfried - 11/13/2007, 06:12 AM RE: Intro and Formula sheet - by andydude - 11/13/2007, 08:37 AM RE: Intro and Formula sheet - by andydude - 11/13/2007, 09:09 AM RE: Intro and Formula sheet - by bo198214 - 11/13/2007, 10:42 AM RE: Intro and Formula sheet - by andydude - 11/15/2007, 03:16 AM RE: Intro and Formula sheet - by jaydfox - 11/15/2007, 03:38 AM RE: Intro and Formula sheet - by andydude - 11/30/2007, 05:32 PM [split] Tetration FAQ - by Ivars - 07/11/2008, 06:28 AM

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