Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Below, Lindy Elkins-Tanton shares five key insights from her new book, Mission Ready: How to Build Teams That Perform Under Pressure. Lindy is a professor at the University of California, Berkeley, ...

AlphaProof Nexus combines LLM-driven proof generation with machine verification to crack open math research problems that have stumped mathematicians for decades. Google Deepmind's new framework ...

When St. Paul police launched a nonfatal shooting unit in 2024, the improvements came almost immediately: The department’s clearance rate for solving nonfatal shootings nearly doubled in just one year ...

Abstract: Sparsity-regularized linear inverse problem has served as the base in many disciplines, such as remote sensing imaging, image processing and analysis, seismic deconvolution, compressed ...

Green Valley’s newest art space is preparing to open to the public with a outdoor market featuring creative activities and artwork for sale. SPARK! is expected to return on the first Sunday of every ...

FOXBOROUGH, Mass. — If head coach Mike Vrabel is considered the “Godfather” of the New England Patriots ‘renaissance,” then he could not ask for a better “consigliere” than offensive coordinator Josh ...

For months, Victoria and its capital Melbourne have been dealing with issues of violence, especially among young people. This has caused significant community concern and, unsurprisingly, Victorians ...

Ozzy Osbourne’s cause of death revealed after rock legend’s funeral What Supreme Court justices said about gerrymandering Florida utility company seeks record $10 billion rate hike The long-feared ...

Ozzy Osbourne’s cause of death revealed after rock legend’s funeral Tulsi Gabbard declassified documents over objections from CIA, sources say Florida utility company seeks record $10 billion rate ...