User blog:Ynought/Array hierarchy

This is "Ynoughts array hierarchy" short "Yac"

This takes the form of \((v_1,v_2\dots,v_i)_k\) and all the variables \(v_1-v_i\) are in \(\mathbb{N}\)

Here \($_1\) is the first part of the array and \($_2\) is the rest of the array it can also be empty.First i am defining a pretty simple linear array notation

\((v_1)=2^{v_1}\)

\($_1 \# 0\# $_2)=($_1)\)

\((v_1,v_2,...,v_k)=((v_1,v_2,...,v_k-1),(v_1,v_2,...,v_k-1)...,(v_1,v_2,...,v_k-1),v_k-1)\)

then

\((#_1)_0=(#_1)\)

\(k\) is always the number marked inbetween the two arrows here \(($_1)_\rightarrow k \leftarrow\)

when \(k\in\mathbb{N}_{>0}\) then \((#_1)_k\) gets solved by 

here \(@\) is the number Gained by adding all the variables in array.
 * 1) decreasing \(k\) by one
 * 2) increasing every variable in the array by \(@\)
 * 3) Place \(a\) many entrys that are just like \(a\) behind \(a\) so the same with all variables in the old array
 * 4) replacing every variable in the array with the new formed array