12/02/2015, 02:43 AM
Hi Andrew -
Well, this might also be correct. I simply mean that the power-tower has varying entries (tetration has one fixed entry, the base, except the top one which if equals 1 can be omitted). In wikipedia it is proposed to call it "nested exponentiation" (I forgot that).
\( z=y^y ; y=x^x; x=w^w; ... \)
Gottfried
(12/02/2015, 12:48 AM)andydude Wrote: By "inhomogenuous" do you mean "heterogeneous"?
Well, this might also be correct. I simply mean that the power-tower has varying entries (tetration has one fixed entry, the base, except the top one which if equals 1 can be omitted). In wikipedia it is proposed to call it "nested exponentiation" (I forgot that).
Quote:Iterated superroots? I need some time to wrap my head around this...I think, Henryk had discussed them in his dissertation? (I'm not sure). Just
\( z=y^y ; y=x^x; x=w^w; ... \)
Gottfried
Gottfried Helms, Kassel