Prime numbers, those integers divisible only by one and themselves, have fascinated mathematicians for millennia. Their ...

Whether you're tackling calculus problems or preparing for standardized tests, understanding these fundamental relationships will give you a significant advantage.Think of trigonometric identities as ...

A system of nth-order differential equations with polynomial right-hand sides is considered, and a simple analytical method of estimating the domain of attraction is developed. The method involves an ...

A new activation function called Polynomial Linear Unit (PolyLU) is proposed in this paper to improve some of the shortcomings of the existing activation functions. The PolyLU meets the following ...

Is the Hubble constant—a key part of how we measure the expansion of our universe—in a crisis? Some cosmologists say yes.

An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant ...

The Freud equation for the recurrence coefficients when m = 4 corresponds to the discrete Painlevé I equation. The second example deals with orthogonal polynomials on the unit circle for the weight ...