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:

@Henryk

If you could provide the TeX source for your FAQ, I will combine it with the formula sheet...

Andrew Robbins

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

- What is the Ackermann function?
- 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

- Extending tetration to zero base

- Tetration as the hyper-4-operator
- 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

- Dynamical systems translation equation
- Exponentiation and factorials

- Table of exponentiation

- Extension of exponentiation

- Extension of factorials

- Extension of super-factorials

- Table of exponentiation
- 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

- Lambert-W-like conjugates (srt2(x), W(x), x^^oo)
- 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

- Andrew Robbins' solution

- Ingolf Dahl'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

- Bromer's mixed hyper-operators

@Henryk

If you could provide the TeX source for your FAQ, I will combine it with the formula sheet...

Andrew Robbins