Asymptotic notation is a way of describing the behavior of a function as its input size approaches infinity. It allows you to ignore the constant factors and lower-order terms that may vary ...

Asymptotic Analysis: A method of describing the behavior of functions as they approach a limit, often used to simplify complex expressions or understand their growth rates.

Explore the asymptotic behavior of quasilinear difference equations (E) and discover the six types of solutions. ... sequence has the limit function, and it gives rise to a positive solution of ...

The counterexample in (2.89) shows that this supplementary condition is almost necessary to obtain a meaningful general result about the asymptotic behavior of the antiderivatives of a rapidly-varying ...

The Infinity Control framework is a mathematical structure designed to manage and regulate the behavior of functions in contexts where traditional analysis fails, especially near infinite limits or ...

In this paper, we deal with integrals whose integrand has a rapidly oscillating zero-order Bessel function of the first kind with real parameters in its argument, which can become large. We introduce ...

These inequalities are essential for understanding the asymptotic behavior of partition functions and their generalizations, such as plane partitions and overpartitions. Recent Research.

Jia-Gang Wang, The Asymptotic Behavior of Locally Square Integrable Martingales, The Annals of Probability, Vol. 23, No. 2 (Apr., 1995), pp. 552-585. ... These cookies are necessary for our websites ...

The stability properties are studied of neural networks modeled as a set of nonlinear differential equations of the form TX+X=Wf(X)+b where X is the neural membrane potential vector, W is the network ...