Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...

Abstract: The classical inverse scattering methods have been developed to reformulate the Lippmann-Schwinger integral equation (LS-IE) for mitigating the nonlinearity, such as the new integral ...

Abstract: Inverse Kinematics (IK) is an integral part of robot manipulation. IK can be challenging to solve, and many computer-aided approaches have been proposed but each has its limitations. The ...

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

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

It’s been three-and-a-half years since generative AI exploded onto the scene. In this past year, progress has continued its relentless pace: Vibe coding took off, companies embraced agentic workflows, ...

An artificial intelligence (AI) model has solved an 80-year-old math problem in a feat hailed as a major milestone for AI's mathematical ability. The planar unit distance problem, first posed by ...

A Hawaii-based startup is proposing a different way to build military boats. Print them from a digital file using volcanic basalt-reinforced material instead of manufacturing them in a shipyard. The ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

For nearly 80 years, mathematicians believed they understood the limits of a famous geometry puzzle first posed by legendary Hungarian mathematician Paul Erdős. Now, an AI model developed by OpenAI ...