User:Googleaarex/Extended Up-Arrow Notation/Hyperlegions

Hyperlegion Array Up-Arrow Notation is seventh part of Extended Up-Arrow Notation Series. $$

Dimensional Legions Array
To continue, we change \((_{_{... _{z}y ...}b}a)\) into \((a/b...y/z)\).

Legions-Legions Array
We have Legions-Legions mark (\).

So \(a \uparrow_{((\text{\}\uparrow)/\uparrow)\uparrow} b\) = \(a \uparrow_{(\underbrace{(... (b)/\uparrow ...)/\uparrow}_{b})\uparrow} a\).

Analysis
The limit of growth rate is strongest growth rate below \(\omega^{CK}_1\)!