The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American The more I learn about continued fractions, ...

The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer. The ...

Know that you know your whole numbers (整数, zhěng shù) in Chinese, you can talk about rational numbers (有理数，yǒu lǐ shù) in decimals (小数, xiǎo shù), fractions (分数, fēn shù), and percents (百分数, bǎi fēn ...

Celebrate Pi Day with the best fractional approximation of Pi using Python! In this video, I’ll show you how to generate the most accurate rational approximations for Pi, diving into algorithms like ...