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 ...
Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for analysing complex phenomena via potential theory. These functions, which are ...
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 ...
It can take years for humans to solve complex scientific problems. With AI, it can take a fraction of the time. Subscribe to our newsletter for the latest sci-tech news updates. Dr. Shuiwang Ji, a ...
Engineers design safer cars, more resilient spacecraft, and stronger bridges using complex math problems that drive the underlying processes. Similarly, doctors use mathematical models to predict ...
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 ...
Researchers at Sandia National Laboratories have demonstrated that Intel's Loihi 2 neuromorphic processor can execute the finite element method, a core scientific computing technique, challenging the ...
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 ...