12/10/2009, 02:06 PM
(12/10/2009, 02:30 AM)mike3 Wrote: What do you think of my theory?
Hm, well, for me it sounds quite "constructed".
I think you should point out what criteria your super-exponential should satisfy.
I mean we have already a solution (see the predecessor thread) but somehow you dont find it satisfactory. So what kind of solution do you want? Please specify!
Quote: Also, can you give a graph of the regular superexponential of such a base developed the repelling real fixed point? Even though it's not the tetrational we want, it might nonetheless help to get a general idea of what the behavior may be like. Helms posted a graph for \( b = 0.04 \) once, but it was a parametric plot, not a plot along the x-axis.
What plot do you want? He posted the super-exponential \( f(x)={\exp_{0.04}}^{\circ x}(0.5) \) for real \( x \).
