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The tethracubor-by-Trihemoth-Giant is equal to E100#^^###*(#^^#>3)^(#^^#>3)^#100 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations in other notations

Notation Approximation
BEAF \(\{100,101(X \uparrow\uparrow\uparrow\uparrow X)((X \uparrow\uparrow 3X)^{(X\uparrow\uparrow 3X)^X}) 2\}\)[2] (weak bound)
Bird's array notation ???
Fast-growing hierarchy \(f_{{\varphi(3,0)} {\varepsilon_2^{\varepsilon_2^\omega}}}(100)\)
Hardy hierarchy \(H_{{\varphi(3,0)}^{\varepsilon_2^{\varepsilon_2^\omega}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varphi(3,{\Omega 2}) (\varepsilon_{\Omega 3}^{\varepsilon_{\Omega 3}^\omega}))}(99)\)

Sources

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-06-05.
  2. Using particular notation \(\{a,b (X \uparrow\uparrow X) 2\}\) for \(X \uparrow\uparrow b\ \&\ a\)
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