Ikosarakt1 (talk | contribs) No edit summary |
(cleaner to read) Tag: Visual edit |
||
| (19 intermediate revisions by 10 users not shown) | |||
| Line 1: | Line 1: | ||
| + | {{distinguish|goxxol|goosol}} |
||
| − | The '''gossol''' is equal to {10,10 (1) 100} 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 '''gossol''' is equal to \(\{10,10 (1) 100\} = \{10,10,10,10,10,10,10,10,10,10 (1) 99\}\) 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 in other notations == |
|
| − | {| |
+ | {| class="article-table" style="width: 500px;" cellspacing="1" cellpadding="1" border="0" |
|- |
|- |
||
| − | ! scope="col"|Notation |
+ | ! scope="col" |Notation |
| − | ! scope="col"|Approximation |
+ | ! scope="col" |Approximation |
|- |
|- |
||
|[[Bird's array notation]] |
|[[Bird's array notation]] |
||
| − | |\(\{10,10 [2] 100\}\) |
+ | |\(\{10,10 [2] 100\}\) (exact) |
|- |
|- |
||
|[[Cascading-E notation]] |
|[[Cascading-E notation]] |
||
| Line 23: | Line 24: | ||
|- |
|- |
||
|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
||
| − | |\(g_{\vartheta(\Omega^ |
+ | |\(g_{\vartheta((\Omega^\Omega)\omega)}(100)\) |
|} |
|} |
||
| − | + | == Sources == |
|
| − | {{numnav|booquadrol|gossolplex}} |
||
| − | |||
| − | === Sources === |
||
<references /> |
<references /> |
||
| − | + | == See also == |
|
{{Bowers' googol series}} |
{{Bowers' googol series}} |
||
[[Category:Numbers]] |
[[Category:Numbers]] |
||
[[Category:Numbers by Jonathan Bowers]] |
[[Category:Numbers by Jonathan Bowers]] |
||
| − | [[Category:Two row array notation level]] |
||
[[Category:2 row]] |
[[Category:2 row]] |
||
| + | [[Category:Googol series]] |
||
| + | [[Category:BEAF]] |
||
| + | [[Category:Exponentiated linear omega level]] |
||
| + | [[Category:Gossol series]] |
||
Revision as of 11:47, 18 May 2020
The gossol is equal to \(\{10,10 (1) 100\} = \{10,10,10,10,10,10,10,10,10,10 (1) 99\}\) in BEAF.[1] The term was coined by Jonathan Bowers.
Approximations in other notations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10 [2] 100\}\) (exact) |
| Cascading-E notation | \(E100\#\text{^}\#*\#100\) |
| Hyperfactorial Array Notation | \(100![1,99,1,2]\) |
| Fast-growing hierarchy | \(f_{\omega^{\omega+1}}(100)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{\omega+1}}}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta((\Omega^\Omega)\omega)}(100)\) |
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)