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 ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

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 ...

Asphalt is a complex multi-component material widely used in road engineering, waterproofing and other applications 1,2. Based on its compositional characteristics, asphalt is typically divided into ...

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 ...

Fix Windows errors with Fortect: Fortect can repair common computer errors by scanning your entire system for damaged or missing OS files and replacing them with the original, working versions.

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 ...

ORLANDO, Florida, Aug 27 (Reuters) - There is legitimate debate about the actual independence of modern-day central banks, but almost everyone agrees that overt politicization of monetary policy – as ...

Sven, a sales leader, received a call from a major customer who was furious. Their order arrived late, the product was damaged, and to top it off, their invoice didn’t reflect the volume discount ...