The emperal is equal to {10,10 (1) 10} in BEAF.[1] The term was coined by Jonathan Bowers.
In the fast-growing hierarchy, emperal can be approximated as \(f_{\omega^{\omega+1}}(10)\).
Approximations
Notation | Lower Bound | Upper Bound |
---|---|---|
BEAF | {10,10(1)10} | |
BAN | {10,10[2]10} | |
Extensible-E Notation | E10#^#*#9 | E10#^#*#10 |
FGH | \(f_{\omega^{\omega+1}}(9)\) | \(f_{\omega^{\omega+1}}(10)\) |
HH | \(H_{\omega^{\omega^{\omega+1}}}(9)\) | \(H_{\omega^{\omega^{\omega+1}}}(10)\) |
SGH | \(g_{\psi(\Omega^{\Omega}\omega)}(10)\) | \(g_{\psi(\Omega^{\Omega}\omega)}(11)\) |
Sources
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
Pronunciation
It is likely pronounced as so:
See also
Tritri series: tritri · tritet · tripent · trisept · tridecal · grand tridecal
Tetratri series: tetratri · supertet · general(plex)
Pentatri series: pentatri · superpent · pentadecal(plex)
Hexatri series: hexatri · superhex · hexadecal(plex)
Heptatri series: heptatri · supersept · heptadecal
Iteral series: superoct · octadecal · superenn · ennadecal · iteral · ultatri
Dupertri series: dupertri · duperdecal · truperdecal · quadruperdecal
Latri series: latri · emperal(plex) · hyperal(plex) · diteral(plex) · admiral
Dutritri series: dutritri · dutridecal
Dimentri series: dimentri · dulatri · trilatri · trimentri
Triakulus series: triakulus · tridecatrix
Big boowa series: big boowa · great big boowa · grand boowa
Tiaokhiao's extensions: trihex · trioct · triennet · triundecal · tridodecal · tritriplex · tritriplexian · grand tritri · tetrapent · tetrahex · grand tetratri · octatri · enneatri · decatri · undecatri · dodecatri
RedBandServerYT's extensions: tridecalplex
Douglas Shamlin Jr.'s extensions: grand tridecalplex · quintuperdecal · triteral · dutetradecal · quadriteral · dupentadecal · duladecal · triladecal
MultiArrest91's extensions: tritredecal · tritetradecal · sextuperdecal · septuperdecal · octuperdecal · nonuperdecal · decuperdecal · centuperdecal · milluperdecal · quadritetradecal · quintitridecal
SeveralLegend9998's extensions: corboral
XRQ CORPORATION's extensions: grand tridecal · grand emperal · grand grand emperal · quintiteral · quadrilatri · quintilatri · sextilatri · septilatri · octilatri · nonilatri · decilatri
Exeen Management World's extensions: dutritet · dutetratet · dupentapent · duheptasept · duheptadecal · duoctadecal · duennadecal · grand dutritri · demperal · tritridecal · tritetradecal · quadritridecal
BAT4423's extensions: duhexadecal
ARsygo extensions: grand tetratri · grand tetradecal