In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...

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 ...

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 ...

BLUF: This repo demonstrates the reduction pattern in runnable form under explicit bounds. It does not solve the Halting Problem, and it is not a safety certification tool for real autonomous systems.

We may receive a commission on purchases made from links. Technology, no matter how advanced it is, is never perfect. With every type of smart device or gadget comes some sort of issue that users have ...

Not drinking enough water could intensify stress responses. Researchers found that under-hydrated individuals had cortisol levels more than 50% higher during stressful situations. Poor hydration ...

Word problems are often described as “math stories” and can put complex mathematical operations into a more approachable form for students. But students often struggle when they see a combination of ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

Plug-in hybrid electric vehicles (PHEVs) have the most problems of any category of new vehicles, reports J.D. Power in the 2025 U.S. Initial Quality Study. That includes more problems than their ...

These days it’s impossible to avoid the avalanche of evidence about young men falling behind in America. Within the last month, the New York Times laid out the dismal data, the Wall Street Journal ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...