Googology Wiki
Googology Wiki
No edit summary
Tag: Visual edit
No edit summary
Tag: Visual edit
Line 1: Line 1:
'''Megotetrommthet''' is equal to \(f_{\theta(\Omega \uparrow\uparrow {1,000,000})}(10)\)<ref>[https://sites.google.com/site/travelingtotheinfinity/my-system-of-number-names My system of number names (FGS) - Traveling To The Infinity]</ref> using the [[fast-growing hierarchy]] and [[Ordinal collapsing function#Feferman's \(\theta\)|Feferman's \(\theta\)-function]] with fundamental sequences using equalities to outputs of [[List of systems of fundamental sequences#Fundamental_sequences_3|Buchholz's function]]. The term was coined by wiki user [[User:Denis Maksudov|Denis Maksudov]]. this is the first number appearing in [[List of googolisms/Higher computable level]].
+
'''Megotetrommthet''' is equal to \(f_{\theta(\Omega \uparrow\uparrow {1,000,000})}(10)\)<ref>[https://sites.google.com/site/travelingtotheinfinity/my-system-of-number-names My system of number names (FGS) - Traveling To The Infinity]</ref> using the [[fast-growing hierarchy]] and [[Ordinal collapsing function#Feferman's \(\theta\)|Feferman's \(\theta\)-function]] with fundamental sequences using equalities to outputs of [[List of systems of fundamental sequences#Fundamental_sequences_3|Buchholz's function]]. The term was coined by wiki user [[User:Denis Maksudov|Denis Maksudov]]. This is the first number appearing in [[List of googolisms/Higher computable level]].
   
 
It is also equal to \(f_{\psi(\Omega \uparrow\uparrow 1,000,001)}(10)\) using [[Buchholz's function|Buchholz's psi-function]].
 
It is also equal to \(f_{\psi(\Omega \uparrow\uparrow 1,000,001)}(10)\) using [[Buchholz's function|Buchholz's psi-function]].

Revision as of 10:10, 26 April 2021

Megotetrommthet is equal to \(f_{\theta(\Omega \uparrow\uparrow {1,000,000})}(10)\)[1] using the fast-growing hierarchy and Feferman's \(\theta\)-function with fundamental sequences using equalities to outputs of Buchholz's function. The term was coined by wiki user Denis Maksudov. This is the first number appearing in List of googolisms/Higher computable level.

It is also equal to \(f_{\psi(\Omega \uparrow\uparrow 1,000,001)}(10)\) using Buchholz's psi-function.

Etymology

The 4 parts of the name, "mego", "tetr", "omm" and "thet", mean 1,000,000, tetration, \(\Omega\) and \(\theta\) function respectively, which form \(\theta(\Omega\uparrow\uparrow1,000,000)\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.

Pronunciation

It is likely pronounced as so:

Sources

Numbers by Denis Maksudov
Zeralum · Unalum · Balum · Tralum · Quadralum · Quintalum · Sextalum · Septalum · Octalum · Nonalum · Dekalum · Ununalum · Bunalum · Trunalum · Quadrunalum · Quintunalum · Sextunalum · Septunalum · Octunalum · Nonunalum · Zeribalum · Unibalum · Bibalum · Tribalum · Quadribalum · Quintibalum · Sextibalum · Septibalum · Octibalum · Nonibalum · Zeritralum · Unitralum · Bitralum · Tritralum · Quadritralum · Quintitralum · Sextitralum · Septitralum · Octitralum · Nonitralum · Zeriquadralum · Uniquadralum · Biquadralum · Triquadralum · Quadriquadralum · Quintiquadralum · Sextiquadralum · Septiquadralum · Octiquadralum · Noniquadralum · Zeriquintalum · Uniquintalum · Biquintalum · Triquintalum · Quadriquintalum · Quintiquintalum · Sextiquintalum · Septiquintalum · Octiquintalum · Noniquintalum · Zerisextalum · Unisextalum · Bisextalum · Trisextalum · Quadrisextalum · Quintisextalum · Sextisextalum · Septisextalum · Octisextalum · Nonisextalum · Zeriseptalum · Uniseptalum · Biseptalum · Triseptalum · Quadriseptalum · Quintiseptalum · Sextiseptalum · Septiseptalum · Octiseptalum · Noniseptalum · Zeroctalum · Unoctalum · Boctalum · Troctalum · Quadroctalum · Quintoctalum · Sextoctalum · Septoctalum · Octoctalum · Nonoctalum · Zerinonalum · Uninonalum · Binonalum · Trinonalum · Quadrinonalum · Quintinonalum · Sextinonalum · Septinonalum · Octinonalum · Noninonalum · Hektalum · Kilalum · Megalum · Gigalum · Teralum · Petalum · Exalum · Zettalum · Yottalum
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
\(I(\alpha,\beta)\) 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