The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

Many school districts and policymakers are stepping up efforts to teach students the skills they need to be prepared for the jobs of the future. One big area of focus is STEM. Jobs in science, ...

ChatGPT, Photomath, Symbolab, and other artificial intelligence-powered platforms can solve a complicated math equation in just seconds—and provide a step-by-step explanation of the answer. That power ...

Too many companies launch new products or services without a process for deeply understanding what their customers truly need. They make assumptions, rely on limited feedback, or develop ideas based ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

Identifying and resolving pain points is fundamental to launching successful businesses. Customer validation and market analysis are critical steps toward understanding if a problem is worth solving.