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Goppatothplex

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The goppatothplex is equal to \(10 \uparrow\uparrow \text{goppatoth} \ \&\ 10\) using the array of operator. The term was coined by Jonathan Bowers. [1] It is Bowers' last well-defined number as tetrational arrays are the last well-defined part of BEAF.

Approximations Edit

Notation Approximation
Bird's array notation \(\{10,\text{goppatoth} [1 \backslash 2] 2\}\)
Extended Cascading-E notation \(E10\#\text{^^}\#101\#2\)
Hyperfactorial Array Notation \((101![1,1,1,1,2])![1,1,1,1,2]\)
Fast-growing hierarchy \(f_{\varepsilon_0}(f_{\varepsilon_0}(100))\)
Hardy hierarchy \(H_{\varepsilon_02}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega+\vartheta(\varepsilon_{\Omega+1})})}(100)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See alsoEdit

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