Quanta Magazine

Using AI, Mathematicians Find Hidden Glitches in Fluid Equations

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
Deep Learning with Yacine on MSNOpinion

Reduced row echelon form (RREF) in Python – algorithm from scratch

Learn how to implement the Reduced Row Echelon Form (RREF) algorithm from scratch in Python! Step-by-step, we’ll cover the ...
Science Daily

These mesmerizing patterns are secretly solving hard problems

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Scientists use string theory to crack the code of natural networks

For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and ...
IEEE

Distributed Adaptive Dynamic Programming for Consensus Control of Multiagent Systems Within Hierarchical Stackelberg–Nash Game Framework

Abstract: This article investigates the leader-follower consensus for nonlinear multiagent systems (MASs) and proposes an adaptive dynamic programming (ADP)-based hierarchical Stackelberg-Nash optimal ...
IEEE

Distributed Multiagent System for Time-Varying Quadratic Programming With Application to Target Encirclement of Multirobot System

Abstract: In this article, an unified distributed multiagent system is proposed to minimize the time-varying quadratic function under the time-varying coupled equality constraint, which is further ...
pratt.duke

AI Learns to Build Simple Equations for Complex Systems

A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...