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 Mizugadro, pentation, Book Kouznetsov Fellow Posts: 151 Threads: 9 Joined: Apr 2008 02/13/2015, 12:23 PM (02/13/2015, 10:09 AM)Gottfried Wrote: .. If I find it I'd try this using Pari/GP to see myself, trying to use greater precision, whether my approach can be finetuned to arrive at your values at all.Good idea. Try to plot at least one complex map with your algorithm. Quote:Quote:I think, first we should compare our results for some fixed value of base, for example, for natural tetration , or for b=sqrt(2). Then we may consider the derivatives with respect to base. Well, here I see no problem; as you write that you use for that the regular tetration (which employs power series centered around the lower fixpoint (which is real)) - and that is nicely expressible by the Carlemanmatrix-algebra. So here we have automatically identity because the methods match even formally. If they match formally, they should give the same results and the same maps. Confirm this and use the simplest one. Quote:That simple-to-formulate Carlemanmatrix-approach ( for the base 1