04/07/2008, 12:01 AM

Ivars Wrote:By the way, have you calculated/willing to share the asymptotic - infinity values for odd operations? I am still eager to check the Fine structure constant approximation which I made from the Pentation value and from Your graph- just to close another wrong direction, if nothing more. It bothers me that graphical values improved the convergence- they should not have- the odds can not be so big.

I am still building an accelerated super-log library and a general hyper-op library so that I can do this reliably. You and GFR have both expressed an interest in this, so I will do my best at getting this done soon. I will be publishing pseudo-code for the library in the computation sub-forum, so that the methods will be available for scrutiny and suggestion. I feel that this approach is better than trying to port the code to all these different platforms (Maple, Matlab, Pari, Sage, etc.) as the essential algorithms are more important than anything else. Once we have these algorithms sorted out, then we can apply them (hopefully with precision tracking along the way), so that we can know that the values we get only have 6 digits, for example. I think Jay Fox's error bound will help with this.

Andrew Robbins