In asymptotic analysis, one says that a property holds asymptotically almost surely (a.a.s.) if, over a sequence of sets, the probability converges to 1.

In mathematical analysis, asymptotic analysis is a method of describing limiting behavior.

He wrote one of the standard books in advanced asymptotic analysis (De Bruijn, 1958).

The growth rate of a group is a well-defined notion from asymptotic analysis.

He also contributed to the field of asymptotic analysis, fractional integration and partial differential equations.

Image processing by topological asymptotic analysis.

See asymptotic analysis and big O notation for the notation.

Their solutions lend themselves to asymptotic analysis (perturbation theory), which is widely used in modern applied mathematics, mechanics and physics.

This asymptotic analysis suggests that the mean outperforms the median in cases of low kurtosis, and vice versa.

For the finite-difference equations, he created a new direction - the asymptotic analysis of the solutions.