Fast-Growing Hierarchy (FGH) is a mathematical ladder used to categorize functions that grow so rapidly they defy standard notation. Calculating these values manually quickly becomes impossible, as even small inputs like

You should be able to input:

Let’s imagine using an ideal high-quality FGH calculator.

Not every user knows ordinal notation. A high-quality calculator accepts:

Last updated: May 2026

Conclusion

  • Standard Wainer Hierarchy definitions are used: