Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Abstract: The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along ...

Abstract: This article studies the contraction property of time-varying differential-algebraic equation (DAE) systems by embedding them to higher dimension ordinary differential equation (ODE) systems ...

When it comes to using AI, it seems lawyers just can't help themselves. Last year saw a rapid increase in court sanctions against attorneys for filing briefs containing errors generated by artificial ...

A study suggests the first of seven key pyramids in Egypt, the Step Pyramid of Djoser, was built using a hydraulic lift. Dated to about 4,500 years ago, this would move up the introduction of major ...

In this tutorial, we explore how to solve differential equations and build neural differential equation models using the Diffrax library. We begin by setting up a clean computational environment and ...

Amateur mathematicians are using artificial intelligence chatbots to solve long-standing problems, in a move that has taken professionals by surprise. While the problems in question aren’t the most ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

Learn a step-by-step system to solve almost any circuit question, from basic resistor networks to multi-loop and node-voltage problems. This video breaks down a repeatable method—identifying ...

This video explores how Euler connected pi, square roots, and one half using factorials, revealing the deep relationships behind seemingly unrelated mathematical constants. Through clear explanations ...

Across the U.S. healthcare system, stakeholders—primarily members, employers, providers and payers—face mounting frustrations in an increasingly complicated and disconnected industry. Consider a ...