A hallmark of quality is . When you compute (f_\omega^\omega(3)), the calculator should show:
A high-quality calculator must adhere to these three fundamental rules: : . This is the simplest successor function. The Successor Step : . The function at level is the result of applying the previous level's function times to the input The Limit Step : for limit ordinals . Here, the calculator must use a fundamental sequence ( λ[n]lambda open bracket n close bracket fast growing hierarchy calculator high quality
def f(alpha, n): if alpha == 0: return n+1 val = n for _ in range(n): val = f(alpha-1, val) return val A hallmark of quality is
: For a high-quality calculator, the user interface is essential. It should allow users to easily input parameters, select functions from the hierarchy, and visualize the growth of the functions. The Successor Step :
: This suite includes tools for various ordinal notation systems. Buchholz Function Calculator
Pseudo‑code for fund(ord, n) :