Thraeltertoltruce 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)1)((0,0,0,1)1)((0,0,0,1)1)2} |
| Bird's array notation | {100,100[1[1,1,1,2]2][1[1,1,1,2]2][1[1,1,1,2]2]2} |
| Strong array notation | s(100,100{1{1,1,1,2}2}{1{1,1,1,2}2}{1{1,1,1,2}2}2) |
| X-Sequence Hyper-Exponential Notation | 100{X^X^X^{X^X^3*3}}100 |
| Fast-growing hierarchy | \(f_{\omega^{\omega^{\omega^{\omega^{\omega^3} }\times 3} } }(100)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^3} }\times 3} } } }(100)\) |
| Slow-growing hierarchy | \(g_{\psi(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^3} }\times 3} } } )}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.5 Cascading-E Numbers. One to Infinity. Retrieved 2016-09-09.