This article provides novel results on the infinite-horizon linear quadratic tracking (LQT) problem for continuous-time systems. In order to fulfill optimality for the tracker design, we introduce a ...

For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

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 ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Abstract: As one of the most critical components in modern LP solvers, presolve in linear programming (LP) employs a rich set of presolvers to remove different types of redundancy in input problems by ...

You’re neck-deep in IKEA assembly instructions. Furniture parts lie strewn across the floor. Your new purchase sits half-complete in front of you, mocking your fruitless hours. As an uninterested ...

Pew Research Center conducted this study to understand Americans’ views of problems facing the country. For this analysis, we surveyed 5,086 adults from Jan. 27 to Feb. 2, 2025. Everyone who took part ...