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 ...

A team of engineers has proven that their analog computing device, called a memristor, can complete complex, scientific computing tasks while bypassing the limitations of digital computing. A team of ...

(Nanowerk Spotlight) As our digital devices handle increasingly complex computations, scientists have looked to physics for inspiration on new computing paradigms. Rather than shuttling electrical ...

The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...

An exemplar photograph of an integrated chip containing memristor crossbar arrays of various sizes made at UMass Amherst. (Image taken by Can Li). AMHERST, Mass. – A team of researchers including ...

New research shows that advances in technology could help make future supercomputers far more energy efficient. Neuromorphic computers are modeled after the structure of the human brain, and researche ...

In theory, almost any aspect of the physical world can be modeled and analyzed mathematically. In practice though, performing the mathematical manipulations required to perform an analysis can rapidly ...

This year, the Abel Prize — the field’s highest honor — has been awarded to Masaki Kashiwara, prolific Japanese mathematician whose work has quietly reshaped how we understand some of the most complex ...

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Whether you’re a college student enrolled in a calculus course or a professional accountant with your own ...