Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...

Today, almost 80% of 12th graders score below national proficiency standards. And while data science isn’t the main culprit, ...

GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

Mathematicians rely on numbers, but finding words to explain different levels of certainty has stymied everyone from the ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Scientists mapping the human body at the cellular level keep running into the same surprise: beneath the apparent chaos of ...

Algorithm performed task beyond capability of classical computers, although experts say real-world application still years away Google has claimed a breakthrough in quantum computing after developing ...

After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture. It’s not that anyone ever said ...

Forbes contributors publish independent expert analyses and insights. Linda Darling-Hammond is an expert on education research and policy. PISA scores reveal deep problems in how the United States ...