User blog comment:Planterobloon/Is BAN our strongest notation right now?/@comment-32783837-20180226014453

Limit of basic arrow notation and Hyper-E Notation: \(\omega\)

Limit of chained arrow notation: \(\omega^2\)

Limit of most forms of linear array notations (*1): \(\omega^\omega\)

Limit of dimensional BEAF: \(\omega^{\omega{^\omega}}\)

Limit of well-defined BEAF (tetrational) and some other more complex notations (*2): \(\varepsilon_0\)

Limit of X-Sequence Hyper-Exponential Notation: \(\zeta_0\)

Limit of 3 bracket NaN, linear HAN and Aarex's Nested Cascading-E: \(\varphi(\omega,0)\)

Limit of Extended Cascading-E Notation: \(\(\varphi(\omega,0,0)\)

Limit of Hyper-Extended Cascading-E Notation: \(\(\varphi(1,0,0,0)\)

Limit of the Extended Q-Supersystem: \(\vartheta(\Omega^\omega)\)

Limit of expanding SAN: \(\vartheta(\varepsilon_{\Omega+1})\)

Limit of multiple expanding SAN: \(\vartheta(\Omega_\omega)\)

Limit of hyperfactorial array notation: \(\vartheta(\varepsilon_{{\Omega_\omega}+1})\)

Limit of BAN: \(\vartheta(\Omega_\Omega)\)

Limit of primary dropping SAN: \(\psi(\psi_I(0))\)

Limit of secondary dropping SAN: \(\text{???}\)

Limit of strong array notation: \(\text{?!?!?!?!}\)

(*1) = linear BEAF, Extended Hyper-E Notation, Standard Q-Supersystem, Taro's multivariable Ackermann function, linear SAN

(*2) = Notation Array Notation, Cascading-E Notation, extended SAN