Categories of Tetration and Iteration

[andydude]

I have been playing around with different notations and I think I found a way to simulate your "partial box" notation in TeX. Here are some examples:

For hyper-logarithms:

\(
\text{hy}n\text{log}_b(z) =
{}^n_b\begin{tabular}{|c}
z \\ \hline \end{tabular}
\)

Source:
\text{hy}n\text{log}_b(z) =
{}^n_b\begin{tabular}{|c}
z \\ \hline \end{tabular}


For hyper-roots:

\(
\text{hy}n\text{rt}_a(z) =
{}^a_n\begin{tabular}{|c}
\hline \\ z \end{tabular}
\)

Source:
\text{hy}n\text{rt}_a(z) =
{}^a_n\begin{tabular}{|c}
\hline \\ z \end{tabular}

Andrew Robbins