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| − | The '''bibol''' is equal to {10,10,100,5 (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]]. |
+ | The '''bibol''' is equal to \(\{10,10,100,5 (1) 2\}\) 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]]. |
| − | + | == Etymology == |
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| + | The name of this number is based on suffix "'''bi-'''" and the number "[[gibol]]". |
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| + | |||
| + | == Approximations and exact values in other notations == |
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|[[Bird's array notation]] |
|[[Bird's array notation]] |
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| − | |\(\{10,10,100,5 [2] 2\}\) |
+ | |\(\{10,10,100,5 [2] 2\}\) (exactly equal) |
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|[[Cascading-E notation]] |
|[[Cascading-E notation]] |
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|[[Fast-growing hierarchy]] |
|[[Fast-growing hierarchy]] |
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| − | |\(f_{\omega^{\omega}+\ |
+ | |\(f_{\omega^{\omega}+\omega4+100}(10)\) |
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|[[Hardy hierarchy]] |
|[[Hardy hierarchy]] |
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| − | |\(H_{\omega^{\omega^{\omega}+\ |
+ | |\(H_{\omega^{\omega^{\omega}+\omega4+100}}(10)\) |
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|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
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| − | |\(g_{\vartheta(\Omega^ |
+ | |\(g_{\vartheta(\Omega^\Omega+\Omega4+99)}(10)\) |
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| − | === Number Navigator === |
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| − | {{numnav|beebol|bobbol}} |
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| − | + | == Sources == |
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<references /> |
<references /> |
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| − | + | == See also == |
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[[Category:Numbers by Jonathan Bowers]] |
[[Category:Numbers by Jonathan Bowers]] |
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| − | [[Category:Two row array notation level]] |
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[[Category:2 row]] |
[[Category:2 row]] |
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| + | [[Category:Googol series]] |
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| + | [[Category:Exponentiated linear omega level]] |
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| + | [[Category:Boobol series]] |
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Revision as of 14:38, 24 May 2020
The bibol is equal to \(\{10,10,100,5 (1) 2\}\) in BEAF.[1] The term was coined by Jonathan Bowers.
Etymology
The name of this number is based on suffix "bi-" and the number "gibol".
Approximations and exact values in other notations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10,100,5 [2] 2\}\) (exactly equal) |
| Cascading-E notation | \(E100\#\text{^}\#100\#\#\#6\) |
| Hyperfactorial array notation | \(100![[1,5],1,1,2]\) |
| Fast-growing hierarchy | \(f_{\omega^{\omega}+\omega4+100}(10)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{\omega}+\omega4+100}}(10)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\Omega^\Omega+\Omega4+99)}(10)\) |
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)