## FANDOM

10,264 Pages

Exinommwil is equal to $$f_{\psi_0(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{18}\;\Omega's})}(10)$$ using the fast-growing hierarchy and the fundamental sequences for extended Buchholz's functions.[1] The term was coined by wiki user Denis Maksudov.

## Etymology Edit

The 4 parts of the name, "exo", "in", "omm" and "wil", mean $$10^{18}$$, the "in-" operation, $$\Omega$$-ordinals and Wilfried Buchholz's $$\psi$$ function respectively, which form $$\psi_0(\underbrace{\Omega_{\Omega_{\cdots_\Omega}}}_{10^{18}\;\Omega's})$$ when concatenated backwards. So the full name indicates the ordinal index of the number.

## Approximations Edit

Notation Approximation
Hardy hierarchy $$H_{\underbrace{\psi_0(\Omega_{\Omega_{..._{\Omega}}})}_{10^{18}\; \Omega's}}(10)$$
Slow-growing hierarchy $$g_{\underbrace{\psi_0(\Omega_{\Omega_{..._{\Omega_2}}})}_{10^{18}\; \Omega's}}(10)$$
Dollar Function $$10\underbrace{[[0]_{[0]_{..._{[0]_2}}}]}_{10^{18}\;[0]'s}$$
Strong array notation {10,10,a[1018]2} where a[2]={1,,1`2} and a[n+1]={1,,1a[n]2}

## Sources Edit

1. My system of number names (FGS) - Traveling To The Infinity

Numbers by Denis Maksudov
Alpha series
Epsilon series
Epsilon(0)-multiplication series: Bultep · Trultep · Quadrultep · Quintultep · Sextultep · Septultep · Octultep · Nonultep · Dekultep · Hektultep · Kilultep · Megultep · Gigultep · Terultep · Petultep · Exultep · Zettultep · Yottultep
Epsilon(0)-exponentiation series: Bexep · Trexep · Quadrexep · Quintexep · Sextexep · Septexep · Octexep · Nonexep · Dekexep · Hektexep · Kilexep · Megexep · Gigexep · Terexep · Petexep · Exexep · Zettexep · Yottexep
Epsilon(0)-tetration series: Bitetrep · Tritetrep · Quadritetrep · Quintitetrep · Sextitetrep · Septitetrep · Octitetrep · Nonitetrep · Dekotetrep · Hektotetrep · Kilotetrep · Megotetrep · Gigotetrep · Terotetrep · Petotetrep · Exotetrep · Zettotetrep · Yottotetrep
$$I_\alpha$$ series
$$I(\alpha,\beta)$$ series
Initial $$I(\alpha,\beta)$$ series: Unimah · Bimah · Trimah · Quadrimah · Quintimah · Sextimah · Septimah · Octimah · Nonimah · Dekimah · Hektimah · Kilimah · Megimah · Gigimah · Terimah · Petimah · Eximah · Zettimah · Yottimah
Inserted $$I(\alpha,\beta)$$ series: Uninimah · Binimah · Trinimah · Quadrinimah · Quintinimah · Sextinimah · Septinimah · Octinimah · Noninimah · Dekinimah · Hektinimah · Kilinimah · Meginimah · Giginimah · Terinimah · Petinimah · Exinimah · Zettinimah · Yottinimah