Visualization of \(a \uparrow^{98} b\) using exponentiation


Centation refers to the 100th hyperoperation starting from addition. It is equal to \(a \uparrow^{98} b\), using Knuth's up-arrow notation. [1] It is also \(\{a,b,98\}\) in BEAF, \(E(a)\underbrace{1\#1\#1...1\#1\#1}_{97}\#b\) in Hyper-E notation and \(a \rightarrow b \rightarrow 98\) in chained arrow notation.

Centational growth rate is equivalent to \(f_{99}(n)\) in the fast-growing hierarchy.

Sources Edit

  1. Hyper Operators by Aarex Tiaokhiao

See also Edit

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