The throogol-ex-terrible tethrathoth is equal to E100#^^#>#(1+E100###100) using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Approximations in other notations
| Notation | Approximation |
|---|---|
| BEAF | \(\{100,\text{throogol}+1 (X \uparrow\uparrow (X^2)) 2\}\)[2] |
| Bird's array notation | \(\{100,\text{throogol}+1 [1 \backslash 1,2] 2\}\) |
| X-Sequence Hyper-Exponential Notation | \(100\{X>X\}\text{throogol}+1\) |
| Fast-growing hierarchy | \(f_{\varepsilon_{\omega}}(\text{throogol})\) |
| Hardy hierarchy | \(H_{\varepsilon_{\omega}}(\text{throogol})\) |
| Slow-growing hierarchy | \(g_{\vartheta(\varepsilon_{\Omega \omega})}(\text{throogol}+1)\) |
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.