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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 \(f_{\omega^{\omega+1}}(10)\).


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

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Pronunciation

It is likely pronounced as so:

Emperal (Pronunciation)

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) · 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