Terminology Map

My two earlier papers (see Prior Work) describe the same objects under two sets of names. Paper 1 (2024) speaks of dropping times and sets, Paper 2 (2023) of stopping times and classes. Neither introduced the objects: both use the classification of the integers by stopping time, which goes back to Terras (1976). For the most part only the names differ.

The table below maps equivalent concepts between the two papers.

Paper 1 (Dropping)	Paper 2 (Stopping)	Same concept?
Dropping Time	Stopping Time	Yes — steps to first value $< n$
Dropping Destination	Stopping Destination	Yes — first value $< n$
Dropping Set$_k$	Stopping Class$_k$	Yes — all $n$ with time $= k$
Dropping Modulus	Stopping Modulus	Yes — inner subsets
Dropping Index	Stopping Page + Offset	Related
Dropping Genus $(S,M,I)$	Stopping Signature $(T,P,O)$	Analogous tuples
Orbital Oddity	—	Paper 1 only

Convention

This site primarily uses Paper 1 (dropping) terminology.