To solve a system of equations means to obtain a common x-value and a common y-value that makes each of the equations in the ...

Abstract: Koopman operator theory and Willems’ fundamental lemma both can provide (approximated) data-driven linear representation for nonlinear systems. However, choosing lifting functions for the ...

In this video we will explore the basics of solving a linear equation using the graphing method. Remember when graphing a ...

A Chinese artificial intelligence framework has autonomously resolved an open problem proposed more than a decade ago by a US mathematician, according to the Peking University-led team that developed ...

Chicago's public schools stand as a monument to bureaucratic inertia and misplaced priorities, where vast sums of taxpayer money vanish into underutilized buildings while student outcomes plummet.

“I’ve spent a long time exploring the crystalline beauty of traditional mathematics, but now I’m feeling an urge to study something slightly more earthy,” John Baez wrote on his blog in 2011. An ...

“Ed” was supposed to be an AI-powered “educational friend” for Los Angeles schoolkids, telling them how to do their homework, what time school let out and even where to go to college. But the flopped ...

Why factoring mechanical and thermal boundaries into your actuator specification can make or break system performance. Boost your understanding of integrated actuators and online software for sizing ...

For 24 years, Microsoft’s Amanda Silver has been working to help developers — and in the last few years, that’s meant building tools for AI. After a long stretch on GitHub Copilot, Silver is now a ...

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: This article investigates the output regulation problem of multi-input–multi-output (MIMO) linear stochastic systems and unstable linear exogenous systems. First, stochastic output regulator ...

A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how systems evolve over time and reduces thousands of variables into compact ...