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The '''gobbol''' is equal to {10,100,6 (1) 2} in [[BEAF]].<ref>[http://www.polytope.net/hedrondude/scrapers.htm Infinity scrapers]</ref> The term was coined by [[Jonathan Bowers]].
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The '''gobbol''' is equal to \(\{10,100,6 (1) 2\}\) in [[BEAF]].<ref>{{cite web|first=Jonathan|last=Bowers|authorlink=Jonathan Bowers|url=http://www.polytope.net/hedrondude/scrapers.htm|title=Infinity Scrapers|accessdate=January 2013}}</ref> The term was coined by [[Jonathan Bowers]].
   
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== Approximations and exact values in other notations ==
=== Sources ===
 
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{| class="article-table" border="0" cellpadding="1" cellspacing="1" style="width: 500px;"
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|-
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! scope="col" |Notation
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! scope="col" |Approximation
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|-
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|[[Bird's array notation]]
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|\(\{10,100,6 [2] 2\}\) (exactly equal)
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|-
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|[[Cascading-E notation]]
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|\(\textrm E100\#\text{^}\#100\#\#6\)
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|-
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|[[Hyperfactorial array notation]]
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|\(100![6,1,1,2]\)
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|-
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|[[Fast-growing hierarchy]]
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|\(f_{\omega^{\omega}+5}(100)\)
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|-
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|[[Hardy hierarchy]]
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|\(H_{\omega^{\omega^{\omega}+5}}(100)\)
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|-
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|[[Slow-growing hierarchy]]
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|\(g_{\vartheta(\Omega^\Omega+4)}(100)\)
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|}
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== Sources ==
 
<references />
 
<references />
   
=== See also ===
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== See also ==
 
 
{{Bowers' googol series}}
 
{{Bowers' googol series}}
[[Category:Numbers by Jonathan Bowers]]
 
 
[[Category:Numbers]]
 
[[Category:Numbers]]
 
[[Category:Numbers by Jonathan Bowers]]
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[[Category:2 row]]
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[[Category:Googol series]]
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[[Category:BEAF]]
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[[Category:Exponentiated linear omega level]]
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[[Category:Goobol series]]

Revision as of 20:13, 28 December 2020

The gobbol is equal to \(\{10,100,6 (1) 2\}\) in BEAF.[1] The term was coined by Jonathan Bowers.

Approximations and exact values in other notations

Notation Approximation
Bird's array notation \(\{10,100,6 [2] 2\}\) (exactly equal)
Cascading-E notation \(\textrm E100\#\text{^}\#100\#\#6\)
Hyperfactorial array notation \(100![6,1,1,2]\)
Fast-growing hierarchy \(f_{\omega^{\omega}+5}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega}+5}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^\Omega+4)}(100)\)

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)