(New page: The '''bootrol''' is equal to {10,10,100 (1) 3} in BEAF.<ref>[http://www.polytope.net/hedrondude/scrapers.htm Infinity scrapers]</ref> === Sources === <references /> [[Category:Numbe...) |
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| − | + | '''Bootrol''' is equal to \(\{10,10,100 (1) 3\}\) 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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| + | === Etymology === |
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| + | The name of this number is based on Latin prefix "'''bi-'''" and the number "[[gootrol]]". |
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| + | === Approximations and exact values in other notations === |
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| + | {| border="0" cellpadding="1" cellspacing="1" class="article-table" 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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| + | |\(\{10,10,100 [2] 3\}\) (exactly equal) |
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| + | |- |
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| + | |[[Cascading-E notation]] |
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| + | |\(E100\#\text{^}\#100\#\text{^}\#100\#\#100\) |
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| + | |- |
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| + | |[[Hyperfactorial Array Notation]] |
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| + | |\(100![[1],2,1,2]\) |
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| + | |- |
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| + | |[[Fast-growing hierarchy]] |
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| + | |\(f_{(\omega^{\omega}) 2+\omega}(100)\) |
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| + | |- |
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| + | |[[Hardy hierarchy]] |
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| + | |\(H_{\omega^{(\omega^{\omega}) 2+\omega}}(100)\) |
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| + | |- |
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| + | |[[Slow-growing hierarchy]] |
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| + | |\(g_{\vartheta((\Omega^\Omega)2+\omega)}(100)\) |
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| + | |} |
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=== Sources === |
=== Sources === |
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<references /> |
<references /> |
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| + | === See also === |
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| + | |||
| + | {{Bowers' googol series}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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| + | [[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:Gootrol series]] |
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Revision as of 05:31, 21 October 2020
Bootrol is equal to \(\{10,10,100 (1) 3\}\) in BEAF.[1] The term was coined by Jonathan Bowers.
Etymology
The name of this number is based on Latin prefix "bi-" and the number "gootrol".
Approximations and exact values in other notations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10,100 [2] 3\}\) (exactly equal) |
| Cascading-E notation | \(E100\#\text{^}\#100\#\text{^}\#100\#\#100\) |
| Hyperfactorial Array Notation | \(100![[1],2,1,2]\) |
| Fast-growing hierarchy | \(f_{(\omega^{\omega}) 2+\omega}(100)\) |
| Hardy hierarchy | \(H_{\omega^{(\omega^{\omega}) 2+\omega}}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta((\Omega^\Omega)2+\omega)}(100)\) |
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)