The Great Wall (named after the Chinese barrier and also as an upgrade for the Berlin Wall) is equal to E100#^^#^^#>#^^#^^#>#^^#^^#>...>#^^#^^#>#^^#^^#100 (10,000,000,000 #^^#^^#'s) in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Unlike the Berlin Wall, due to order of operations, it should be evaluated as E100#^^(#^^#>#^^(#^^#>#^^(#^^#>...>#^^(#^^#>#^^(#^^#>#^^(#^^#>#^^#^^#))))))100 with 10,000,000,000 ^^#'s, making this number become much larger, and can be approximated as E100#^^^#10,000,000,002.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| BEAF | \(X \uparrow\uparrow\uparrow 10,000,000,002\ \&\ 100\) |
| Bird's array notation | \(\{100,10000000002[1[1\neg3]2]2\}\) (Nested Hyper-Nested Array Notation)
\(\{100,10000000002[1[1\backslash2\neg2]2]2\}\) (Hierarchial Hyper-Nested Array Notation) |
| Hyperfactorial array notation | \(10,000,000,002![1(1)2]\) |
| Fast-growing hierarchy (using this system of fundamental sequences) | \(f_{\varphi(1,0,0)}(10,000,000,001)\) \(=f\)\(_{\Gamma_{0}}\)\((10,000,000,001)\) |
| Hardy hierarchy | \(H_{\Gamma_{0}}(10,000,000,002)\) |
| Slow-growing hierarchy (using this system
of fundamental sequences) |
\(g_{\psi_0(\Omega_2^{\Omega_2})}(10,000,000,002)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.3 - Forging Extended Cascading-E Numbers Part I. Retrieved 2014-10-01.