Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for uncovering patterns in large amounts of data that would otherwise be ...

More than a century after Srinivasa Ramanujan scribbled his astonishing formulas for π in notebooks in India and England, ...

How much faster could engineering progress with an artificial intelligence oracle that could answer any physics question? Such a machine is the big picture aim of the newly formed Center for ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? A new paper without peer review says physics equations follow a formula of their own.

The renowned cosmologist wants to make the ideas of modern physics accessible to anyone who’s willing to do a bit of extra thinking. The following is an excerpt from The Biggest Ideas in the Universe: ...

Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

"Of all the equations of physics, perhaps the most magical is the Dirac equation." When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. British ...

Maxwell’s equations of electromagnetism and the Euler equation top a poll to find the greatest equations of all time. Robert P Crease discusses the results of his reader survey First among equals – ...