"The appearance of such structures sheds new light on the sorts of mathematical objects that nature is built from." ...

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest ...

The universe isn’t just growing—it’s speeding up as it does. That discovery stunned scientists, upending long-held ideas ...

For these cases, well-developed analytical techniques from particle physics can be applied to calculate the integrals. Driesse and colleagues’ approximation to the Einstein equations includes ...

In their study, the scientists examined both evolving dark energy and evolving dark matter. Their analysis showed that ...

The random motion of a single-mode mechanical oscillator with various nonlinear stiffnesses and a charged particle moving in an electromagnetic field are examples. Cosine-power and sech-power ...

Explore kinematic equations for robotics: understand forward and inverse kinematics for effective path planning.

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I ...

This groundbreaking theory explains how speed affects mass, time, and space, and introduced the world to the most famous equation in science ... s three laws of motion formed the bedrock of ...

The statistical models used to describe the properties of intense charged particle beams are based on the Vlasov–Maxwell equations, the macroscopic fluid–Maxwell equations, or the Klimontovich–Maxwell ...

The statistical models used to describe the properties of nonneutral plasmas are based on the nonlinear Vlasov–Maxwell equations, the macroscopic fluid ... for describing one-component charged ...