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 fractional powers of function inversion (was: changing terminology) Base-Acid Tetration Fellow Posts: 94 Threads: 15 Joined: Apr 2009 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? « Next Oldest | Next Newest »

 Messages In This Thread fractional powers of function inversion (was: changing terminology) - by Base-Acid Tetration - 08/10/2009, 06:14 PM RE: fractional powers of function inversion (was: changing terminology) - by Base-Acid Tetration - 08/11/2009, 02:07 AM RE: fractional powers of function inversion (was: changing terminology) - by bo198214 - 08/11/2009, 08:49 AM RE: fractional powers of function inversion (was: changing terminology) - by Gottfried - 08/11/2009, 12:02 PM RE: fractional powers of function inversion (was: changing terminology) - by bo198214 - 08/11/2009, 01:07 PM

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