User blog comment:Lepton Adapter/Meta: What a growth rate is/@comment-35470197-20181127215527

Right. FGH heavily dpends on the choice of fundamental systems, but the way to choose is often omitted. This is really serious when people "analyse" a function using FGH through a notation system which does not posses a canonical well-defined fundamental systems, e.g. UNOCF.

On the other hand, when people write the result of analysis using a well-defined single sort of OCFs, then such ambiguity can be removed because we usually deal with an associated ordinal notation system with a fixed system of fundamental systems.

Therefore we do not have to take much care about the choice, as long as we are using a single sort of published OCFs with fundamental sequences in the description of ordinals and clearly declare what OCFs we are using. (Mixing two sorts of OCFs possibly causes such a trouble, though.)