Hyper-thraeltotholfact is equal to E100#^#^(#^#^###*#)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the Godtertol regiment.
Approximations[]
Notation | Approximation |
---|---|
Bowers' Exploding Array Function | {100,100((0,0,0,1)0,1)2} |
Bird's array notation | {100,100[1[1,1,1,2]1,2]2} |
X-Sequence Hyper-Exponential Notation | 100{X^X^(X^X^3*X)}100 |
Fast-growing hierarchy | \(f_{\omega^{\omega^{\omega^{\omega^{\omega^3} +1} } } }(100)\) |
Hardy hierarchy | \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^3} +1} } } } }(100)\) |
Slow-growing hierarchy | \(g_{\psi_0(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^3} +1} } } } )}(100)\) (using Buchholz's function) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.5 Cascading-E Numbers. One to Infinity. Retrieved 2016-09-09.