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Navier-Stokes Equations
Equations governing fluid dynamics, part of the Millennium Prize Problems.
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What the corpus says
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Terence Tao engineered a blowup in fluid dynamics by altering Navier-Stokes equations, suggesting fluid-based Turing machines.
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Tao believes AI can assist in mathematical proofs but struggles with subtle errors and lacks human intuition.
The twin prime conjecture remains unsolved, requiring breakthroughs in other mathematical areas.
Lean programming enhances mathematical collaboration, though formalizing proofs takes 10 times longer than traditional methods.
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5 books and papers cited across these episodes.
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