10/07/2007, 07:48 PM

Ah, sorry, I was talking about Andrew's slog with base e. All the fixed points are complex, of course, but his slog seems to correspond to the primary fixed points at 0.318 +/- 1.337i. And as I think I've explained in a couple other threads, the reason that continuous iteration from these two fixed points yields real values for real inputs is due to using both fixed points, not just one or the other. Since they are conjugates, the non-real parts cancel out. I haven't tried it with the sexp function yet, but it seems pretty clear from the slog.

~ Jay Daniel Fox