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(In approximations, We don't need an expression (Cascading-E notation) that is defined using it)
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The ''' septuple-hyper-hexaeltotholdeus ''' is equal to E100#^#^#^#^#^#^#^#^(#^#^#^6*#^#^#^6)100 using [[Cascading-E Notation]].<ref>{{cite web|first=Sbiis|last=Saibian|url=https://sites.google.com/site/largenumbers/home/4-3/ec_numbers|title=4.3.5 Cascading-E Numbers|work=One to Infinity|}}</ref> The term was coined by [[Sbiis Saibian]].
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'''Septuple-hyper-hexaeltotholdeus''' is equal to E100#^#^#^#^#^#^#^#^(#^#^#^6*#^#^#^6)100 using [[Cascading-E Notation]].<ref>{{cite web|first=Sbiis|last=Saibian|url=https://sites.google.com/site/largenumbers/home/4-3/ec_numbers|title=4.3.5 Cascading-E Numbers|work=One to Infinity|}}</ref> The term was coined by [[Sbiis Saibian]].
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== Approximations ==
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{{Approximations
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|beaf = \(\{100,100(((((0,0,0,0,0,0,1)(0,0,0,0,0,0,1)1)1)1)1)2\}\)
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|bird = <nowiki>\(\{100,100[1[1[1[1[1,1,1,1,1,1,2]1[1,1,1,1,1,1,2]2]2]2]2]2\}\)</nowiki>
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|fast = \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}2<nowiki>}}}}}}}}}}</nowiki>(100)\)
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|hardy = \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}2<nowiki>}}}}}}}}}}}</nowiki>(100)\)
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|slow = \(g_{\psi(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^6}2<nowiki>}}}}}}}}}}</nowiki>)}(100)\)}}
 
== Sources ==
 
== Sources ==
 
<references />
 
<references />

Revision as of 12:03, 5 February 2021

Septuple-hyper-hexaeltotholdeus is equal to E100#^#^#^#^#^#^#^#^(#^#^#^6*#^#^#^6)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations

Notation Approximation
Bowers' Exploding Array Function \(\{100,100(((((0,0,0,0,0,0,1)(0,0,0,0,0,0,1)1)1)1)1)2\}\)
Bird's array notation \(\{100,100[1[1[1[1[1,1,1,1,1,1,2]1[1,1,1,1,1,1,2]2]2]2]2]2\}\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}2}}}}}}}}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^6}2}}}}}}}}}}}(100)\)
Slow-growing hierarchy \(g_{\psi(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^6}2}}}}}}}}}})}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity