Company behind ChatGPT says 10,000 of its AI systems cracked the Navier-Stokes problem in 88 hours OpenAI claims to have solved a major mathematics problem that has stumped humans for nearly a century ...
OpenAI's unreleased Astra model has produced what its October 2025 announcement only pretended to: genuine solutions to ten long-standing open problems in mathematics and theoretical computer science, ...
For many Palo Alto High School students working through the school’s on-campus advanced math program, AP Calculus BC has been the end of the road. But beginning in the 2026-27 school year, qualified ...
“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...
Palo Alto High School students attend a child development class on the first day of school for the 2025-26 year on Aug. 14, 2025. Photo by Lisa Moreno Palo Alto High School and Henry M. Gunn High ...
One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...
What are the most pressing global crises in 2026? Each year, the International Rescue Committee’s (IRC) Emergency Watchlist identifies the countries at greatest risk of new or worsening humanitarian ...
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 ...
Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...
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 ...
Multivariable control systems design and optimization addresses the task of regulating multiple interdependent process variables within a single framework. Unlike single‐loop controllers, ...