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: ...
The decimal expansion of pi goes on forever. But an infinite number of fractions can approximate it to ever-increasing accuracy.KuoCheng Liao/Quanta Magazine The deep recesses of the number line are ...
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