[ \beginaligned f_0(n) &= n + 1 \ f_\alpha+1(n) &= f_\alpha^n(n) \quad \text(iteration) \ f_\lambda(n) &= f_\lambda[n](n) \quad \text(for limit ordinal \lambda \text) \endaligned ]
💡 When using an FGH calculator, start with small inputs like fast growing hierarchy calculator high quality
The Fast Growing Hierarchy is a mathematical construct that defines a sequence of functions, each growing faster than the previous one. It's a way to classify and compare the growth rates of various functions, often leading to enormous numbers. The FGH is built using a simple yet powerful recursive definition: [ \beginaligned f_0(n) &= n + 1 \
: This is widely considered the gold standard in the googology community. It supports the Buchholz function Extended Arrows , allowing you to calculate ordinals far beyond epsilon sub 0 cap gamma sub 0 Hardy Hierarchy Calculator : Built using the ExpantaNum.js It supports the Buchholz function Extended Arrows ,
Actually, standard definition for sum: ( (\alpha + \beta)[n] = \alpha + (\beta[n]) ) if ( \beta ) limit, else if ( \beta ) successor, reduce by 1 and add ω^α*(n-1)? This gets subtle.