05/25/2008, 07:30 PM
Ivars Wrote:I was thinking of a function like:
\( b[t]z=F(b,t,z) \) so that for every combination of 3 at least complex variables we get one as a result.
Exactly, everybody thinks of such a function. Thatswhy I showed a direction how one can obtain such a function, i.e. by:
\( b[t]x=E^{\circ t-1}(f_{1,b})(x) \).
where \( E \) is not a function, but an operator that maps functions to functions. The idea is to apply non-natural iteration to such an operator in a similar way as we apply non-natural iteration to a function. If we can compute non-natural iterates of functions via matrices, perhaps we can compute non-natural iterates of operators by the by Andrew mentioned tensors, who knows.
