08/10/2009, 06:14 PM
(This post was last modified: 08/11/2009, 02:08 AM by Base-Acid Tetration.)
(08/10/2009, 11:32 AM)Ansus Wrote: Heh it would be a good idea to introduce an 'arc' or 'inv' operator instead of ugly f^-1, commonly used.
so you might want to consider fractional iterates of functional inversion operator inv[]?
such that inv^2[f] = f (hopefully)
can we assume this f^a)^b = f^(ab) for most cases?
can real or complex iterates of functional inversion be associated with powers of -1?
is []^i=inv^(1/2)[], so that (f^i)^i = f^-1?
how are these complex iterate thingies numerically computed anyway?