Asymptotic (Adjective)
Meaning
Relating to or of the nature of an asymptote; "an asymptotic function".
Classification
Relational adjectives (pertainyms).
Examples
- An asymptotic function in mathematics is a function that approaches a limit, but may not necessarily reach it, in a certain point or as the input increases without bound.
- The asymptotic behavior of the algorithm's running time is what determines its efficiency in large data sets.
- The asymptotic expansion of the solution can be obtained by applying the Laplace method.
- The asymptotic stability of the system guarantees that the state variables converge to the equilibrium point over time.
- Near the critical point, the asymptotic form of the equation simplifies, leading to insight into the underlying physics.