User blog:Lord Aspect/The ψ-Notation

Another notation I made.

Level 1
All further ones work the same, but the last entry gets recursively repalced "lastentry" times.
 * ψa = a↑aa
 * ψa,b = ψψ ...(b levels) a
 * ψa,b,c = ψa,ψ a,ψ ... (c levels) b

Level 2

 * ψ[n] = ψn
 * ψ[n,m] = ψn,n,n,n,n,n... (m n's in array)
 * ψ[ [n] ] = ψ[ψ[n]] (works the same way for larger ammount of brackets)
 * ψ[n]#x = ψ[ [ [ [ .... (x brackets ....[n]]
 * ψ[ [n,m] ] = ψ[n,ψ[n,ψ[ ... (m ψ's) ...[n]]
 * ψ[n,m]#x = ψ[ [ [ [ [ ... (x brackets) ... [n,m]]


 * ψ[]#{z}z = ψ[]###... (z #'s) ...###z
 * ψ[n,m,p] = ψ[n,m]#{z}
 * ψ[n,m,p,j] = ψ[n,m,p]#{ψ[n,m]}
 * ψ[n,m,p,j,j2] = ψ[n,m,p,j]#{ψ[n,m,p]}
 * Etc for more entries.