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Goobol

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The goobol is equal to \(\lbrace10,100 (1) 2\rbrace = \{\underbrace{10,10 \ldots 10,10}_{100}\}\) in BEAF.[1] The term was coined by Jonathan Bowers.

Goobol is comparable to Saibian's Godgahlah.

Approximations and exact values in other notations Edit

Notation Approximation
Bird's array notation \(\{10,100 [2] 2\}\) (exactly equal)
Hyper-E notation \(E100 \# ^{99} 100\)
Cascading-E notation \(E100\#\text{^}\#99\)
Hyperfactorial array notation \(100![1,1,1,2]\)
Notation Array Notation \((100\{5,99\}2)\)
X-Sequence Hyper-Exponential Notation \(10\{X^{98}\}100\)
Fast-growing hierarchy \(f_{\omega^{98}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{98}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^\omega)}(100)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also Edit

Googol and related numbers


Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex) · 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(plex) · boggol(plex) · bagol(plex)
Troogol series: troogol(plex/duplex) · triggol(plex) · traggol(plex) · treegol(plex) · trigol(plex) · troggol(plex) · tragol(plex)
Quadroogol series: quadroogol(plex) · quadriggol(plex) · quadraggol · quadreegol · quadrigol · quadroggol · quadragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintoggol · quintagol · (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 · treebol · tribol · trobbol · trabol
Quadroobol series: quadroobol · quadribbol · quadrabbol · quadreebol · quadribol · quadrobbol · quadrabol · (quintoobol)
Gootrol series: gootrol · (gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol) · bootrol · trootrol · quadrootrol · gooquadrol · booquadrol · trooquadrol · quadrooquadrol · (gooquintol)
Gossol series: gossol(plex) · gissol(plex) · gassol(plex) · geesol(plex) · gussol(plex)
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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