A research team at Duke University has developed a new AI framework that can uncover simple, understandable rules that govern some of the most complex dynamics found in nature and technology. The AI ...

The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool for modeling complex systems that exhibit both fractional order dynamics and stochasticity with time ...

Climate and ocean models use a series of equations to represent complex natural processes. However, the equations used in ...

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 ...

(Nanowerk Spotlight) As our digital devices handle increasingly complex computations, scientists have looked to physics for inspiration on new computing paradigms. Rather than shuttling electrical ...

Modeling how cars deform in a crash, how spacecraft respond to extreme environments, or how bridges resist stress could be made thousands of times faster thanks to new artificial intelligence that ...

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors ...

What if the toughest problems humanity faces—those that stump our brightest minds and stretch the limits of human ingenuity—could be tackled by a single, purpose-built system? Enter Gemini Deep Think, ...

Trigonometric identities might seem like abstract mathematical concepts, but they're actually powerful problem-solving tools that can transform seemingly impossible equations into manageable solutions ...