Sen. Mark Kelly, D-Ariz., listens to testimony during a Sept. 20, 2023, Senate Environment and Public Works hearing on drinking water infrastructure for tribal communities. (Photo by Lux ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

What is a 4D Rubik's Cube? A 4D Rubik's Cube, often called a hypercube puzzle, 3x3x3x3, or 3^4, is a conceptual extension of the classic Rubik's Cube into a fourth spatial dimension. Its fundamental ...

Ever wondered how social media platforms decide how to fill our feeds? They use algorithms, of course, but how do these algorithms work? A series of corporate leaks over the past few years provides a ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

AlphaEvolve uses large language models to find new algorithms that outperform the best human-made solutions for data center management, chip design, and more. Google DeepMind has once again used large ...

Abstract: Several interesting problems in multirobot systems can be cast in the framework of distributed optimization. Examples include multirobot task allocation, vehicle routing, target protection, ...