Abstract: An important tool for proving the safety of dynamical systems is the notion of a barrier certificate. In this paper, we prove that every robustly safe ordinary differential equation has a ...

A new theory claims dark matter and dark energy don’t exist — they’re just side effects of the universe’s changing forces. By ...

Most people rarely experience the effects of dark matter in ordinary life. However, we live in an environment affected by ...

Here is a close look at the common- versus differential-mode voltage and instrumentation amplifier (IA) topologies.

Abstract: In this article, we consider a linear-quadratic optimal control problem of mean-field stochastic differential equation with jump diffusion, which is also called as an mean-field ...

In August 1944, with the German army poised for destruction, the citizens of Paris did not wait for liberation—they seized it. This is the gripping story of how schoolteachers, shopkeepers, and ...

Every day, viewers across the country send photos to the investigative NBC Bay Area Responds team — highlighting real consumer problems that demand attention. From worthless windows, faulty fridges, ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...