User blog:Googleaarex/Dollar Function: Aarex's Linear Array Notation

New Rule: \(a$[0,b+1] \bullet = a$[[0,b]_{[0,b]_{... [0,b]_{[0,b] \bullet} \bullet ...} \bullet},b] \bullet\) (a [0,b]'s)

\([ [0,1] ]\) has level \(\psi(\psi_I(0))\)

\([ [0,1][0,1] ]\) has level \(\psi(\psi_I(1))\)

\([ [[0,1],1] ]\) has level \(\psi(I)\)

\([ [[0,1]_2,1] ]\) has level \(\psi(\varepsilon_{I+1})\)

\([ [[0,1]_{[0]},1] ]\) has level \(\psi(\Omega_{I+\omega})\)

\([ [[0,1]_{[0,1]},1] ]\) has level \(\psi(\Omega_{I2})\)

\([ [[0,1]_{[0,1]_2},1] ]\) has level \(\psi(\Omega_{\Omega_{I+1}})\)

\([ [0,2] ] = [ [[0,1]_{[0,2]},1] ]\) has level \(\psi(\psi_{I_2}(0))\)

\([ [0,3] ]\) has level \(\psi(\psi_{I_3}(0))\)

\([ [0,[0,1]] ]\) has level \(\psi(\psi_{I_I}(0))\)

\([ [0,[0,[0,1]]] ]\) has level \(\psi(\psi_{I_{I_I}}(0))\)

\([ [0,[0,1]_2] ]\) has level \(\psi(\psi_{I(1,0)}(0))\)

\([ [0,[0,1]_2[0,1]_2] ]\) has level \(\psi(\psi_{I(1,1)}(0))\)

\([ [0,[[0,1],1]_2] ]\) has level \(\psi(\psi_{I(1,I)}(0))\)

\([ [0,0,[0,1,1]_2] ]\) has level \(\psi(\psi_{I(1,I_I)}(0))\)

\([ [0,[[0,[0,1]_2],1]_2] ]\) has level \(\psi(\psi_{I(1,\psi_{I(1,0)}(0))}(0))\)