In blockchain development, there is a rule of thumb that only two of scalability, security, and decentralization are valid simultaneously. However, the mathematical expression of that rule was still a ...

Whether it's physical phenomena, share prices or climate models—many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to ...

What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a mathematical relation widely applied across many fields of mathematics, science and ...

Recent headlines proclaiming that AI has cracked legendary math problems have generated considerable excitement in technology and business circles.

Technology founder and quantitative researcher Neel Somani has spent his career grappling with a deceptively simple question: How can researchers prove that complex systems behave the way they are ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

An independent test of four artificial intelligence models verified 10 previously unpublished mathematical problems: the ETH Zurich model solved six problems, while other publicly available systems ...