Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Despite decades of independent progress in population ecology and movement ecology, researchers have lacked a theoretical bridge between these two disciplines. "Ecologists have been trying to ...

Engineers at the University of California San Diego have developed a new way to train artificial intelligence systems to ...

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...

Google-spinoff Waymo is in the midst of expanding its self-driving car fleet into new regions. Waymo touts more than 200 million miles of driving that informs how the vehicles navigate roads, but the ...

Mathematician Richard Evan Schwartz of Brown University tackled the problem in a recent study by working backward from an existing polyhedral torus to answer questions about what would be needed to ...