Noninphi

Noninphi (also called Unexommthet) is equal to \(f_{\beta[9]}(10)\) using the fast-growing hierarchy,My system of number names (FGS) - Traveling To The Infinity where \(\beta[n]\) is defined as:
*\(\beta[0] = 0\)
*\(\beta[\alpha + 1] = \varphi(\beta[\alpha],0)\)
Note that \(\beta[n]\) is equal to \(\Gamma_0[n+1]\), and therefore, it is equal to \(f_{\Gamma_0}(10) = f_{\varphi(1,0,0)}(10)\).
The term was coined by wiki user Denis Maksudov.
It is also exactly equal to \(f_{\theta(\Omega)}(10)\). This number is comparable to tethrarxideck.
== Etymology ==
The 3 parts of the name "noninphi", "noni", "in" and "phi", mean 9, the "in-" operation and \(\varphi\) function respectively, which form \(\beta[9]\) (i.e. 9 more insertions of \(\varphi\)) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
The 4 parts of the name "unexommthet", "uni", "ex", "omm" and "thet", mean 1, exponentiation, \(\Omega\) and \(\theta\) function respectively, which form \(\theta(\Omega)\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Binary phi level
Category:-phi