The tethra-enliath is equal to E100(#^^#)^(#^^#)^#8 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name of this number is based on the number tethraduliath and the Greek prefix "enna-", meaning 9.
Approximations in other notations[]
Notation | Approximation |
---|---|
BEAF | \(\{100,100((X \uparrow\uparrow X)^9) 2\}\)[2] |
Bird's array notation | \(\{100,50 [1[1\backslash 2]9 \backslash 2] 2\}\) |
Hyperfactorial array notation | \(100![1,[1,1,9,1,2],[1],1,2]\) |
Fast-growing hierarchy | \(f_{\varepsilon_0^{\varepsilon_0^8}}(100)\) |
Hardy hierarchy | \(H_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^8}}}(100)\) |
Slow-growing hierarchy | \(g_{\vartheta(\varepsilon_{\Omega 2}^{\varepsilon_{\Omega 2}^7\varepsilon_{\Omega+1}})}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part I. One to Infinity. Retrieved 2017-02-16.
- ↑ Using particular notation \(\{a,b (A) 2\} = A\ \&\ a\) with prime b.