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Navier–Stokes equations

A set of partial differential equations describing fluid motion, central to fields like aerodynamics and oceanography. The problem of whether these equations always yield physically valid solutions (existence and smoothness) has remained unsolved for decades.

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What OpenAI’s latest controversy tells us about the future of math

OpenAI’s latest mathematical milestone has quickly become mired in controversy. Today, the company announced that its agents have solved one of the Millennium Prize Problems, some of the most important open problems in mathematics. Under normal circumstances, that solution would be a huge feather in OpenAI’s cap. But the announcement has been overshadowed by accusations…

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