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 ...

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 ...

Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. Robyn Williams: Our PhD this week comes from Ireland way back, but is studying in Canberra at the ANU, ...

Sometimes ecological data just don’t make sense. The sockeye salmon that spawn in British Columbia’s Fraser River offer a prime example. Scientists have tracked the fishery there since 1948, through ...

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 ...

This chaotic-looking "double pendulum" follows a large number of rules that govern its motion. Researchers have trained AI to take data from its movements to uncover simple equations that successfully ...

PAKISTAN and China have enjoyed a close and trouble-free relationship for almost 60 years. Their respective strategic interests have been fully aligned. China helped Pakistan moderate the military ...

Complex natural systems defy standard mathematical analysis, so one ecologist is throwing out the equations. Sometimes ecological data just don’t make sense. The sockeye salmon that spawn in British ...

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 ...