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 ...
The famous mathematical ratio, estimated to more than 22 trillion digits (and counting), is the perfect symbol for our species’ long effort to tame infinity. By Steven Strogatz This article, ...
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: ...
To celebrate Pi Day, we asked several mathematicians to tell us their favorite non-pi numbers. Here are some of their answers. When you purchase through links on our site, we may earn an affiliate ...
When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...
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: ...
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