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The tethrarxichill is equal to E100#^^^#1000 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations

Approximations in other notations

Notation Approximation
BEAF \(\{X,X,1,2\}\ \&\ 1000\) (weaker bound)

\(\{X,X,3\}\ \&\ 1000 \) (stronger bound)

Bird's array notation \(\{100,1000[1[1\neg3]2]2\}\)
Hyperfactorial array notation \(1000![1(1)2]\)
Dollar function \(1000$[[[[0]_2]_2]_2]\)
Fast-growing hierarchy (with this system of fundamental sequences) \(f_{\varphi(1,0,0)}(999)\)
\(=f\)\(_{\Gamma_0}\)\((999)\)
Hardy hierarchy (with this system of fundamental sequences) \(H_{\Gamma_{0}}(1000)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega_2)}(1000)\)


Sources

  1. Saibian, Sbiis. 4.3.9 - Extended Cascading-E Numbers Part III. Retrieved 2017-01-13.
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