Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while also ...

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

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that ...

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 ...

Race-free kidney function equations may underestimate risks for Black adults according to a new analysis. October 22nd 2024. Engage, Educate, Empower: Transforming Kidney Care.

This book is an attempt in that direction and would serve a dual purpose: in providing key formulas and identities involving special functions and also in opening up some novel avenues of applications ...

New Edition available here. Galois' Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion ...

On some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function, Petrograd, 1917 (in Russian). M. Stone's important paper A comparison of the ...

Bottled waters from small, pristine sources are attracting a lot of buzz, with tastings, sommeliers and even water cellars. By Kim Severson Paying closer attention to what was coming out of my ...