Fast Growing Hierarchy Calculator _verified_

f sub alpha colon the natural numbers right arrow the natural numbers

[ \beginaligned f_\omega+2(3) &= f_\omega+1^3(3) \ &= f_\omega+1(f_\omega+1(f_\omega+1(3))) \ f_\omega+1(3) &= f_\omega^3(3) \ f_\omega(3) &= f_3(3) \quad (\textsince \omega[3]=3) \ f_3(3) &= f_2^3(3) \dots \endaligned ] fast growing hierarchy calculator

The is a mathematical "yardstick" used to measure and create some of the largest numbers ever conceived . While standard calculators tap out at about 1010010 to the 100th power f sub alpha colon the natural numbers right

You can run this in any browser console or Node.js environment. Here is how you use it

Let’s assume you have found a functional FGH calculator (e.g., a custom JavaScript tool on a googology forum or a Python library like fgh.py ). Here is how you use it.

# Increase recursion depth for deep hierarchical calls sys.setrecursionlimit(2000)

The FGH is more than just a tool for "making big numbers." In , it is used to measure the strength of mathematical systems. For example, the function fϵ0f sub epsilon sub 0

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