Dekexommthet

Dekexommthet is equal to \(f_{\theta(\Omega^{10})}(10)\) or \(f_{\theta(\Omega^{\omega})}(10)\) = \(f_{\text{SVO}}(10)\) (Small Veblen ordinal) using the fast-growing hierarchy and Feferman's \(\theta\)-function.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov.
It is exactly equal to \(f_{\varphi(1,0,0,0,0,0,0,0,0,0,0,0)}(10)\), using Veblen function.
== Etymology ==
The 4 parts of the name, "deko", "ex", "omm" and "thet", mean 10, exponentiation, \(\Omega\) and \(\theta\) function respectively, which form \(\theta(\Omega^{10})\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations ==
Notation 	Approximation
Bird's array notation 	\(\{10,10 [1 [1 \backslash 1,2 \neg 2] 2] 2\}\)
Hardy hierarchy (using Buchholz hierarchy) 	\(H_{\psi_0(\Omega^{\Omega^{\omega}})}(10)\)
Slow-growing hierarchy (using Buchholz hierarchy)	\(g_{\psi_0(\Omega_2^{\Omega_2^{\omega}})}(10)\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Bachmann's collapsing level