08/29/2007, 08:19 AM

Several things. I have never used pari/gp but I have 3 implementations of my super-log code and Carleman-matrix stuff in languages other than Maple/Mathematica:

However, I'm not sure I know where the first two are, but I just found my maxima code, so I can post that soon.

On another note, I like these graphs, although I still don't know how to use Jay's method.

I can understand the oscillation, since the further you get away from integers the "less defined" tetration is... so it makes sense to me.

I would like to post some graphs of Daniel's and my extensions, and I think I'll stick with the (critical) interval -1<x<0 since its the most well-behaved, and use the close-to-zero plots for and so that any oscillation is immediately obvious. My next post should have them, but I need more time to make the graphs.

Andrew Robbins

PS. That was a beautiful derivation Henryk

- C with GMP (super-logarithm)

- Perl with BigInt (super-logarithm)

- Maxima (for Carleman-matrix)

However, I'm not sure I know where the first two are, but I just found my maxima code, so I can post that soon.

On another note, I like these graphs, although I still don't know how to use Jay's method.

I can understand the oscillation, since the further you get away from integers the "less defined" tetration is... so it makes sense to me.

I would like to post some graphs of Daniel's and my extensions, and I think I'll stick with the (critical) interval -1<x<0 since its the most well-behaved, and use the close-to-zero plots for and so that any oscillation is immediately obvious. My next post should have them, but I need more time to make the graphs.

Andrew Robbins

PS. That was a beautiful derivation Henryk