They found that students assigned to teachers who used more mathematical vocabulary in their lessons made greater progress ...

Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...

We fully decrypted SearchGuard, the anti-bot system protecting Google Search. Here's exactly how Google tells humans and bots apart.

Many of us like to think that we’re fairly smart. But it can be a very humbling experience when you’re in the presence of ...

Foundational Concepts in Programming Industrial Robots. Before you can get a robot to do anything useful, you need to ...

That’s not to say that the technology doesn’t have a function or won’t improve, but it does place a much lower ceiling on ...

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New research shows that advances in technology could help make future supercomputers far more energy efficient. Neuromorphic computers are modeled after the structure of the human brain, and researche ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...