For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Shocking text messages released Thursday, penned by a fired State Police investigator and former Canton police officer, will be a “major, significant problem for the whole commonwealth” if they shake ...

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 ...

Basically every recent, high-profile accusation of someone passing off AI-generated writing as their own has started in the same way: with a tool called Pangram. In March, when a horror novel from a ...

To see how people judge someone based on their writing in the age of ChatGPT, my colleague Jiaqi Zhu and I recruited more than 1,300 U.S.-based participants, ages 18 to 84, and showed them ...

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

It used to be easy enough to distinguish between human-made and AI-generated imagery — just two years ago, you couldn’t use image models to create a menu for a Mexican restaurant without inventing new ...

Abstract: The manufacturing industry encounters numerous optimization problems, one of which is the optimization of storage location assignment (OSLA) problem in logistics. OSLA is a combinatorial ...

The task of optimizing performance in coding has grown in importance. Performance problems severely impair user experience, system throughput, and resource efficiency, although they rarely result in ...

Google Nano Banana was a hit sensation at its launch, with millions of users creating images using Google’s latest AI image generation service. One of our team members tested Nano Banana’s ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...