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The gassol is equal to \(\{10,10 (1) 100,3\}\) in BEAF.[1] The term was coined by Jonathan Bowers.

Approximations and exact values in other notations[]

Notation Approximation
Bird's array notation \(\{10,10 [2] 100,3\}\) (exactly equal)
Cascading-E notation \(E100\#\text{^}\#*\#100\#\text{^}\#*\#100\#\text{^}\#*\#100\)
Hyperfactorial Array Notation \(100![1,[3],1,2]\)
Fast-growing hierarchy \(f_{(\omega^{\omega+1}) 3}(100)\)
Hardy hierarchy \(H_{\omega^{(\omega^{\omega+1}) 3}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega+1}2+\Omega^\Omega\omega)}(100)\)

Sources[]

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also[]

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quadroogol series: quadroogol(plex/duplex) · quadriggol(plex) · quadraggol · quadreegol · quadrigol · quadroggol · quadragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintagol
Sextoogol series: sextoogol · septoogol · octoogol
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol
Quadroobol series: quadroobol · quadribbol · quadrabbol · (quintoobol)
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
Bootrol series: bootrol · trootrol · quadrootrol
Gooquadrol series: gooquadrol · booquadrol · quadreequadrol · (gooquintol)
Gossol series: gossol(plex) · gissol · gassol · geesol(plex) · gussol
Mossol series: mossol(plex) · missol · massol · meesol · mussol
Bossol series: bossol · bissol · bassol · beesol · bussol
Trossol series: trossol · trissol · trassol · treesol · trussol · (quadrossol · quintossol)
Dubol series: dubol · dutrol · duquadrol · dossol(plex)

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