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Comparing the Known Tetration Solutions
#23
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:
  • 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 Wink
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Messages In This Thread
RE: Comparing the Known Tetration Solutions - by andydude - 08/29/2007, 08:19 AM
RE: computing the iterated exp(x)-1 - by andydude - 08/17/2007, 11:20 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/17/2007, 11:38 PM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/17/2007, 11:45 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/18/2007, 12:19 AM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/18/2007, 08:19 AM
RE: computing the iterated exp(x)-1 - by andydude - 08/18/2007, 09:35 AM
RE: computing the iterated exp(x)-1 - by bo198214 - 08/18/2007, 11:59 AM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/18/2007, 03:49 PM
RE: computing the iterated exp(x)-1 - by jaydfox - 08/19/2007, 12:50 AM

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