Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

Working memory is like a mental chalkboard we use to store temporary information while executing other tasks. Scientists worked with more than 200 elementary students to test their working memory, ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Goldbach’s conjecture sounds almost too simple: every even number greater than two should be the sum of two primes. Mathematicians have chased it for nearly 300 years, a publisher once offered $1 ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Is China picking back up the open source AI baton? Z.ai, also known as Zhupai AI, a Chinese AI startup best known for its powerful, open source GLM family of models, has unveiled GLM-5.1 today under a ...

In this video I will work through 22 different examples of solving two-step equations using a worksheet I created for my students. I will use the properties of equality, inverse operations, and ...

Kendra Pierre-Louis: For Scientific American’s Science Quickly, I’m Kendra Pierre-Louis, in for Rachel Feltman. In 1997, Deep Blue, a supercomputer built by IBM, did the unexpected: it defeated chess ...

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 ...

In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although ...

If you have built a basic Retrieval-Augmented Generation (RAG) application, you likely know the drill: take a user query, turn it into an embedding, find similar text chunks in a vector database, and ...