Calculator - Fast Growing Hierarchy

Select either direct expansion (for small inputs) or structural breakdown (for transfinite levels). Applications of FGH Calculation

For ordinals beyond a certain recursive bound, the question “Is this ordinal a limit ordinal?” can be undecidable. Real calculators restrict to and explicit fundamental sequences. fast growing hierarchy calculator

To find the value of the next level, you nest (iterate) the previous function times, using the input as the starting value. Select either direct expansion (for small inputs) or

Visualize how moving from α to α+1 or λ drastically changes the output. the calculator utilizes limit ordinal diagonalization.

Using the calculator is straightforward. Here are a few examples:

fα+1(n)=fαn(n)f sub alpha plus 1 end-sub of n equals f sub alpha to the n-th power of n

(omega), the calculator utilizes limit ordinal diagonalization.