Under what conditions is describing the behaviour of a (physical or abstract) process using asymptotic apparatus sensible/productive/reasonable?
Kinds of replies that I would find especially valuable:
Formal properties that a function (or collection thereof) must satisfy for applying asymptotic analysis to be sensible
Heuristics for when applying asymptotic analysis to real world processes is productive
Examples of real world processes satisfying the above
Examples of processes/functions that might seem amenable to asymptotic analysis but which it would actually be a mistake to try and consider through an asymptotic lens
[Question] What Are The Preconditions/Prerequisites for Asymptotic Analysis?
Under what conditions is describing the behaviour of a (physical or abstract) process using asymptotic apparatus sensible/productive/reasonable?
Kinds of replies that I would find especially valuable:
Formal properties that a function (or collection thereof) must satisfy for applying asymptotic analysis to be sensible
Heuristics for when applying asymptotic analysis to real world processes is productive
Examples of real world processes satisfying the above
Examples of processes/functions that might seem amenable to asymptotic analysis but which it would actually be a mistake to try and consider through an asymptotic lens