Petinommwil

Petinommwil is equal to \(f_{\psi_0(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{15}\;\Omega's})}(10)\) using the fast-growing hierarchy and the fundamental sequences for extended Buchholz's functions.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov.
== Etymology ==
The 4 parts of the name, "peto", "in", "omm" and "wil", mean \(10^{15}\), the "in-" operation, \(\Omega\)-ordinals and Extended Wilfried Buchholz's \(\psi\) function respectively, which form \(\psi_0(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{15}\;\Omega's})\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations ==
Notation 	Approximation
Hardy hierarchy 	\(H_{\underbrace{\psi_0(\Omega_{\Omega_{..._{\Omega}}})}_{10^{15}\; \Omega's}}(10)\)
Slow-growing hierarchy	\(g_{\underbrace{\psi_0(\Omega_{\Omega_{..._{\Omega_2}}})}_{10^{15}\; \Omega's}}(10)\)
Dollar Function 	\(10$\underbrace{[[0]_{[0]_{..._{[0]_2}}}]}_{10^{15}\;[0]'s}\)
Strong array notation 	{10,10,a[1015]2} where a[2]={1,,1`2} and a[n+1]={1,,1a[n]2}
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Higher computable level