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Noninphi (also called Unexommthet) is equal to \(f_{\beta[9]}(10)\) using the fast-growing hierarchy,[1] where \(\beta[n]\) is defined as:

  • \(\beta[0] = 1\)
  • \(\beta[\alpha + 1] = \varphi(\beta[\alpha],0)\)

The term was coined by wiki user Denis Maksudov.

It is exactly equal to \(f_{\theta(\Omega)}(10) = f_{\Gamma_0}(10) = f_{\varphi(1,0,0)}(10)\) using Veblen function. This number is comparable to tethrarxideck.

Etymology Edit

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 number.

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 number.

Sources Edit

  1. My system of number names (FGS) - Traveling To The Infinity
Numbers by Denis Maksudov
Epsilon series
Epsilon(0)-addition series: Zeraddep · Unaddep · Baddep · Traddep · Quadraddep · Quintaddep · Sextaddep · Septaddep · Octaddep · Nonaddep · Dekaddep · Hektaddep · Kiladdep · Megaddep · Gigaddep · Teraddep · Petaddep · Exaddep · Zettaddep · Yottaddep
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
Epsilon(1)-addition series: Unaddunep · Baddunep · Traddunep · Quadraddunep · Quintaddunep · Sextaddunep · Septaddunep · Octaddunep · Nonaddunep · Dekaddunep · Hektaddunep · Kiladdunep · Megaddunep · Gigaddunep · Teraddunep · Petaddunep · Exaddunep · Zettaddunep · Yottaddunep
Inserted epsilon series: Uninep · Binep · Trinep · Quadrinep · Quintinep · Sextinep · Septinep · Octinep · Noninep · Dekinep · Hektinep · Kilinep · Meginep · Giginep · Terinep · Petinep · Exinep · Zettinep · Yottinep
Inserted eta series
Phi series
Initial phi series: Uniphi · Biphi · Triphi · Quadriphi · Quintiphi · Sextiphi · Septiphi · Octiphi · Noniphi · Dekophi · Hektophi · Kilophi · Megophi · Gigophi · Terophi · Petophi · Exophi · Zettophi · Yottophi
Inserted phi series: Uninphi · Binphi · Trinphi · Quadrinphi · Quintinphi · Sextinphi · Septinphi · Octinphi · Noninphi · Dekinphi · Hektinphi · Kilinphi · Meginphi · Giginphi · Terinphi · Petinphi · Exinphi · Zettinphi · Yottinphi
Tar series

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