The grangol-carta-tethriterator is equal to E100#^^#>#100#100 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name of this number is based on the numbers "grangol" and "tethriterator" and the -carta- infix, which joins two ExE expressions.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| BEAF (Climbing method) | \(\{100,101,2 (X\uparrow\uparrow(X+1)) 2\}\)[2] |
| Bird's array notation | \(\{100,101,2 [1 \backslash 1,2] 2\}\) |
| X-Sequence Hyper-Exponential Notation | \(100\{(X>X)+1\}100\) |
| Fast-growing hierarchy | \(f_{\varepsilon_\omega+1}(100)\) |
| Hardy hierarchy | \(H_{\varepsilon_\omega \omega}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\varepsilon_{\Omega^2})}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part I. One to Infinity. Retrieved 2017-02-19.
- ↑ Using particular notation: \(\{a, b (A) 2\} = A\ \&\ a\) with prime b.