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Every year, the countries competing in the International Mathematical Olympiad arrive with a booklet of their best, most original problems. Those booklets get shared among delegations, then quietly ...

WORKING OUT how to most efficiently pack a crate full of oranges may seem like a juvenile pursuit for professional mathematicians. And yet the sphere-packing problem, as this pastime is properly known ...

In this video, you will learn how to solve a word problem using proportions. To do this we will identify our unknowns as well as our ratio of terms. We will then proceed to set up a proportion 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 ...

AI thrives on data but feeding it the right data is harder than it seems. As enterprises scale their AI initiatives, they face the challenge of managing diverse data pipelines, ensuring proximity to ...

When a startup struggles, founders usually assume the solution is obvious: more marketing, more hiring, or more capital. But in my experience advising founders, the real issue is usually something ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

AI face swapping used to be a party trick. Now it’s quietly becoming a serious shortcut for creativity. Creators use it to localize marketing campaigns. Meme accounts use it to generate viral parody ...

Over the past couple of months, several researchers have begun making the same provocative claim: They used generative-AI tools to solve a previously unanswered math problem. The most extreme promises ...

Here’s what you’ll learn when you read this story: Large language models (LLMs) like ChatGPT show reasoning errors across many domains. Identifying vulnerabilities is good for public safety, industry, ...