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Tetration FAQ Discussion
#15
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
Reply


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
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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