09/22/2009, 05:30 AM
Anther thing I'm kind of stumped and intrigued by is how that "Mathematica" program was able to get a good-looking graph through its "NDSolve" function, for tetration. What sort of definitions is it using for the continuum sum/product? (And does it work for other bases, incl. those that give complex values at real height, i.e. the fabled b = 0.04...? (what would happen if one tried to use the formula with that base in the program's NDSolve thing and plot the real/imag parts, if it converged?))