Nonitetrom

Nonitetrom (also called zeraddep, uniphi and uninphi) is equal to \(f_{\omega\uparrow\uparrow9}(10) = f_{\varepsilon_0}(10) = f_{\varphi(1,0)}(10) = f_{\varphi(\varphi(0,0),0)}(10)\) using the fast-growing hierarchy and CNF's fundamental sequences.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov. The number is comparable to Saibian's dekaelheptol.
== Etymology ==
The 3 parts of the name "nonitetrom", "noni", "tetr" and "om", mean 9, tetration and \(\omega\) respectively, which form \(\omega\uparrow\uparrow9\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
The 3 parts of the name "zeraddep", "zero", "add" and "ep", mean 0, addition and \(\varepsilon_0\) respectively, which form \(\varepsilon_0\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
The 2 parts of the name "uniphi", "uni" and "phi", mean 1 and \(\varphi\) function respectively, which form \(\varphi(1,0)\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
The 3 parts of the name "uninphi", "uni", "in" and "phi", mean 1, the "in-" operation and \(\varphi\) function respectively, which form \(\varphi(\varphi(0,0),0)\) (i.e. one more insertion of \(\varphi\)) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations in other notations ==
Notation 	Approximation
BEAF 	\(X \uparrow\uparrow 8 \& 10\)
Bird's array notation 	\(\{10,10 [1 [1 [1 [1,2] 2] 2] 2] 2\}\)
Hyperfactorial array notation	\(10![1,1,2,8]\)
Extended Cascading-E Notation	\(\textrm E10\#\text{^^}\#9\)
\(= \textrm{E}10\#\text{^}\#\text{^}\#\text{^}\#\text{^}\#\text{^}\#\text{^}\#\text{^}\#\text{^}\#10\)
Hardy hierarchy 	\(H_{\omega \uparrow \uparrow 10}(10)\)
Slow-growing hierarchy 	\(g_{\vartheta(\Omega \uparrow \uparrow 9)}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Iterated Cantor normal form level
Category:-phi
Category:-ep