We study the compactness of a sequence of weak solutions to the (p-th power) nonlinear Klein-Gordon equation with uniform natural energy bounds. A refinement of the Rellich's Theorem of compact ...

One breakthrough came in 2010, when Dominic Berry, now at Macquarie University in Sydney, built the first algorithm for solving linear differential equations exponentially faster on quantum, rather ...

The living AI was able to solve non-linear equations and perform basic speech recognition via training using spatiotemporal sequences of electrical stimulation according to the researchers.

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.

Mathematicians have devised a new way to solve higher-order polynomial equations, ushering in a 'dramatic revision of a basic chapter in algebra'.