regular slog

[andydude]

Ok. h is the base of the decremented exponential, and DE is the decremented exponential function \( x \mapsto h^x-1 \). The reason why I chose the symbol h is because when you use iterated decremented exponentials to find iterated exponentials, the bases obey the h-root-h relationship: \( \exp_b^{\circ t}(x) = h(DE_h^{\circ t}(x/h - 1)+1) \) as I mentioned here and you mentioned here where \( b=h^{1/h} \), and thus \( h={}^{\infty}b \) which is also the symbol Galidakis uses for the infinitely iterated exponential.

Andrew Robbins