The original version of this story appeared in Quanta Magazine. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward operation: One of the first ...

DeepSeek-R1 uses reinforcement learning to teach reasoning, showing potential for AI to develop intelligence without human examples.

We all have times when we're shouldering the burden of a problem we can't solve right away. For example, you might receive a stressful letter on a Friday that requires calling a government office that ...

Symptoms of a malfunctioning NOx sensor include increased fuel consumption, as well as reduced power and acceleration. If a sensor fails, it will also trigger an on-board diagnostic (OBD) code, ...