Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...

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 ...

When Americans think about the nation’s substance use crisis, opioids, fentanyl, cocaine and methamphetamine dominate the conversation. But the substance causing the greatest harm is not illicit. It ...

Jake Peterson is Lifehacker’s Tech Editor, and has been covering tech news and how-tos for nearly a decade. His team covers all things technology, including AI, smartphones, computers, game consoles, ...

The goal should be purposeful integration: using records to improve context for education, navigation, and appropriate escalation—without presenting the tool as a substitute for professional judgment.

Abstract: In this work, we extend the simplex algorithm of linear programming for finding a local minimum of a concave quadratic function subject to box constraints. In order to test the performance ...

Abstract: The Nelder-Mead simplex method is a well-known algorithm enabling the minimization of functions that are not available in closed-form and that need not be differentiable or convex.

I tend to divide my workday into blocks. Within minutes of waking up — we’re usually up by 5.30 a.m. — I sit down to write at least one Inc. article. Then I spend four to five hours writing a book, ...

Generative AI is becoming ubiquitous in everyday life. Large language models like ChatGPT can help answer questions, write email, and solve problems at seemingly lightning speed, pulling from enormous ...