Irrational numbers such as pi or the square root of 2 have always fascinated humankind. For thousands of years, scholars have ...

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, ...

Very recently, a number of papers have been related to uncovering equations that model physical systems with high accuracy. The denomination of ‘precision machine learning’ has been suggested for this ...

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...

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 ...

Fractions are the basis for most higher-level mathematics. Students need to master the numerical values in earlier grades to tackle topics like algebra later. There’s only one hitch: Fractions can ...

Fractions and percentages are both different ways to represent a whole. Ratios compare two or more sizes or sets and show how they relate to each other. There are ways of converting ratios to ...