Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Yu Deng of the University of Chicago links Newtonian mechanics and the Boltzmann equation, advancing Hilbert’s Sixth Problem ...

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...

A conversation with author Anne Morriss on why the slow and steady approach can leave issues unresolved. When it comes to solving complex, layered problems, the default for many organizational leaders ...

Whenever I get coffee with a mathematician, I always ask which of the seven Millennium Problems they think will be next to fall. These are math’s most famous open questions. Solve one, and you’ll win ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.

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

Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help explore what ...

Cumaná was once an economic hub, producing Toyota Land Cruisers and exporting food across South America. Now it’s on the brink of disaster as public services collapse. By Simon Romero and Adriana ...

When you throw a ball in the air, the equations of classical physics will tell you exactly what path the ball will take as it falls, and when and where it will land. But if you were to squeeze that ...