In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

Against the backdrop of accelerated glacier melting caused by global warming, dynamic monitoring of glacial lake water quality has become an important topic in environmental science. There is a ...

OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the ...

Resources for observational comparative research have expanded enormously in recent years to include very large sources of ...

Abstract: Large language models (LLMs) have demonstrated great potential across diverse fields. However, their reasoning capabilities face challenges, especially when dealing with complex tasks.

One of the biggest barriers for secondary English learners in math is not computation, but language. The subject’s complex ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Axiom Math is giving away a powerful new AI tool. But it remains to be seen if it speeds up research as much as the company hopes. Axiom Math, a startup based in Palo Alto, California, has released a ...

Giulia Livieri sets out remarkable new research with results that clarify how learning works on complex graphs and how quickly any method (including Graph Convolutional Networks) can learn from them, ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

Rubik's cubes are great for fun, fast-paced problem solving, but they also have a rich mathematical structure involving ideas of symmetry and connectivity. A 3x3x3 Rubik’s cube has 43 quintillion ...