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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.
In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible.
The universe of problems that a computer can check has grown. The researchers’ secret ingredient? Quantum entanglement.
In math, sometimes the most common things are the hardest to find.
The nearest neighbor problem asks where a new point fits into an existing data set. A few researchers set out to prove that there was no universal way to solve it. Instead, they found such a way.
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