Unimah

Unimah is equal to \(f_{\psi_{I(0,0)}(I(1,0))}(10) = f_{\psi_{\Omega}(I)}(10)\) using the fast-growing hierarchy with the fundamental sequences for a function collapsing \(\alpha\)-weakly inaccessible cardinals.My system of number names (FGS) - Traveling To The InfinityThe functions collapsing a-weakly inaccessible cardinals - Traveling To The Infinity
The term was coined by wiki user Denis Maksudov.
It should not be confused with \(f_{\psi_0(I)}(10)\) with respect to the systems of fundamental sequences associated to the Extended Buchholz's function, as \(\psi_0(I) =\) \(\psi_0(\Phi_1(0)) = \psi_0(\Omega_{\Omega_{._{._.}}})\) with respect to the Extended Buchholz's function (see countable limit of Extended Buchholz's function#Properties).
== Etymology ==
The 3 parts of the name, "un", "im" and "ah", mean 1, \(I(\alpha,0)\)-cardinals, and a function collapsing \(\alpha\)-weakly inaccessible cardinals \(\psi_{I(0,0)}\) respectively, which form \(\psi_{I(0,0)}(I(1,0))\) when concatenated backwards (where "uni" and "im" form \(I(1,0)\) - the first 1-weakly inaccessible cardinal). So the full name indicates the ordinal index of the number.
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Higher computable level
Category:-ah