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 ...

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

Brendan is a freelance writer and content creator from Portland, OR. He covers tech and gaming for Lifehacker, and has also written for Digital Trends, EGM, Business Insider, IGN, and more. A new ...

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 ...

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 ...

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 ...

In our modern world in which scientific visualizations increasingly look like Hollywood movies and even simplistic visualizations for teaching are using gaming engines and GPU-accelerated renderers to ...

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 ...

Researchers developed a machine-learning technique that uses an image to estimate the stresses and strains acting on a material. The advance could accelerate engineers' design process by eliminating ...

We’ve all got different skill sets, and some of ours simply don’t include math. Google’s latest Search update includes a helpful new tool for folks in that category. Next time a complex equation ...