Abstract: This paper develops several new dynamical designs, based on the gradient neural network (GNN), from the perspective of control theory to solve the time-varying Sylvester equation (TVSE). We ...

New York City has a cool class of rebels — those who elect to brave the crushing summer heat without air conditioning at home. It is a small, but mighty group that opts to use fans, take cold showers ...

we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

When a company with tens of thousands of software engineers found that uptake of a new AI-powered tool was lagging well below 50%, they wanted to know why. It turned out that the problem wasn’t the ...

AC Ports is transforming how property owners and tenants solve the portable AC challenge. AC Ports is a patented, professional solution backed by decades of glass industry expertise. It is designed to ...

Sept. 9 (UPI) --Google is celebrating the start of the 2025-26 school year with a quadratic equation-themed Doodle. The mathematical formula has useful applications across physics, engineering and ...

Traditionally, people in the business world laud entrepreneurs as visionaries—risk-takers, lone wolves with audacious ideas. Risk-taking, ambition and resilience are vital parts of becoming an ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

If at first you don't succeed, stop wasting time and ask for help, says Tory Burch Foundation president Tiffany Dufu. You can solve problems and build relationships faster if you ask people with ...