Beyond Nullity (BN)

Beyond Nullity (BN) is defined as the smallest possible ordinal that when plugged into any given ordinal mapping hierarchy to any given n<100 would produce a result bigger than the $$f_{\varepsilon_{n}}(n)$$th ordinal-based function applied to $$f_{\varepsilon_{n}}(n)$$ in $$f_{\varepsilon_{n}}(n)$$ systems of ordinal-based functions.

Beyond Googol (BG) is equal to $$f_{BN}(10^{100})$$