Googology Wiki
Googology Wiki
No edit summary
No edit summary
Line 4: Line 4:
 
It is equal to \(f_{\psi(\Omega \uparrow\uparrow 1,000,001)}(10)\) using [[Ordinal notation#Buchholz's \(\psi\)|Buchholz's psi-function]].
 
It is equal to \(f_{\psi(\Omega \uparrow\uparrow 1,000,001)}(10)\) using [[Ordinal notation#Buchholz's \(\psi\)|Buchholz's psi-function]].
 
== Etymology ==
 
== Etymology ==
The 4 parts of the name, "mego", "tetr", "omm" and "thet", mean 1,000,000, tetration, [[First uncountable ordinal|\(\Omega\)]] and [[Ordinal_notation#Feferman.27s_.5C.28.5Ctheta.5C.29|\(\theta\) function]] respectively, which form \(\theta(\Omega\uparrow\uparrow1,000,000)\) when concatenated backwards. So the full name indicates the ordinal index of the number.
+
The 4 parts of the name, "mego", "tetr", "omm" and "thet", mean 1,000,000, tetration, [[First uncountable ordinal|\(\Omega\)]] and [[Ordinal_collapsing_function#Feferman.27s_.5C.28.5Ctheta.5C.29|\(\theta\) function]] respectively, which form \(\theta(\Omega\uparrow\uparrow1,000,000)\) when concatenated backwards. So the full name indicates the ordinal index of the number.
 
==Pronunciation==
 
==Pronunciation==
 
It is likely pronounced as so:
 
It is likely pronounced as so:

Revision as of 14:11, 5 October 2020

Megotetrommthet is equal to \(f_{\theta(\Omega \uparrow\uparrow {1,000,000})}(10)\) using the fast-growing hierarchy.[1] The term was coined by wiki user Denis Maksudov.

It is 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 number.

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