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− | The '''gobbol''' is equal to {10,100,6 (1) 2} in [[BEAF]].<ref> |
+ | 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]]. |
+ | == Approximations and exact values in other notations == |
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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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+ | |||
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<references /> |
<references /> |
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− | + | == See also == |
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− | |||
{{Bowers' googol series}} |
{{Bowers' googol series}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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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
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
See also
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)