A 150-year-old rule in geometry has been proven wrong. Mathematicians found two different doughnut-shaped surfaces that look ...

Rigorous Statistical Mechanics has a long tradition, starting in the 1960s with Dobrushin, Lanford, Ruelle, Sinai and many other mathematical physicists. Yet, surprisingly, there has not been an up-to ...

DETAILS of the history of mathematics are better left to specialists, who still have plenty of occupation in clearing up doubtful points and amending errors. But there is a growing opinion among ...

Can you chip in? As an independent nonprofit, the Internet Archive is fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, ...

Introduction The COVID-19 pandemic highlighted the significance of mathematical modelling in decision-making and the limited capacity in many low-income and middle-income countries (LMICs). Thus, we ...

ABSTRACT: A recent numerical study of tornadogenesis suggests that processes and structures in the turbulent boundary layer below a supercell thunderstorm’s mesocyclone may play an important role in ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

Abstract: The Laplace-Sumudu-Elzaki Transformation (LSET) represents a significant advancement in mathematical physics, offering versatile tools for solving differential equations and analyzing ...

We discuss applications of random matrix theory (RMT) to the training of deep neural networks (DNNs). Our focus is on the pruning of DNN parameters, guided by the Marchenko-Pastur spectral RMT ...