09/30/2007, 11:38 AM
Dear UVIR and Gottfried,
I have examined with interest the "details" shown in the UVIR's posting. Unfortunately, I cannot agree with putting:
b # n = y => b = y # (1/n).
Moreover, I think that these two "tetration" formulas don't have any point in common. Their sets are disjoint. There is no similarity with the "exponentiation" case, where the power and the root functions are described in the same domain and we can find a root function representable as a power. I know but, unfortunately, ... this is the real problem.
GFR
I have examined with interest the "details" shown in the UVIR's posting. Unfortunately, I cannot agree with putting:
b # n = y => b = y # (1/n).
Moreover, I think that these two "tetration" formulas don't have any point in common. Their sets are disjoint. There is no similarity with the "exponentiation" case, where the power and the root functions are described in the same domain and we can find a root function representable as a power. I know but, unfortunately, ... this is the real problem.
GFR

