User blog:Ikosarakt1/Analysis on Hyperfactorial array notation

As I analysed, w/ operator isn't enough powerful and Multi-Dimensional arrays is ill-defined at all. There will be no notation for limit of [1(1)2], [1(1)1,2], [1(1)1,1,2], [1(1)1,1,1,2], ... Even though it was defined as [1(1)1]w/[1], [1(1)1] collapses into [1] and that forms a hole in entire system, not allowing to get to multiple dimensions. The limit of HAN is $$\phi(\omega+1,\phi(\omega,\phi(\omega+1,0)))$$, I believe.