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Gus Wiseman's suggestion
Hm, not sure. It is a strange mixture from several techniques.

1. technique: search for a fixed point and take the unqiue -th iterate there. This approach is due to Kneser, however yields complex values for real arguments, because all the fixed points are complex. I dont know whether it even yields the same result for each fixed point of exp.

2. technique: piecewise construction such that all the derivates are continuous at the joining points, this was performed by Andrew Robbins, however on the slog.

So this approach seems to be a mixture from 1. and 2. for sexp.
Makes this sense? I mean it was for good reason that Andrew worked with the slog and not with sexp. And why Gus then needs a fixed point to develop a series?

Messages In This Thread
Gus Wiseman's suggestion - by UVIR - 08/15/2007, 09:30 PM
RE: Gus Wiseman's suggestion - by bo198214 - 08/15/2007, 09:47 PM

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