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, ...
A systematic method for obtaining the best possible approximation of a given ratio makes use of some of the properties of continued fractions. Although the procedure involved is more lengthy than ...
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