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Combinatorial discrepancy theory is a branch of mathematics concerned with balance. If you’re making two teams — sports, trivia, you name it — how can you make sure that they’re perfectly balanced and fair, skill-wise? You start with vectors. 

On this episode of The Quanta Podcast, host Samir Patel speaks with award-winning science journalist and regular contributor Max...


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The Navier-Stokes equations are enormously successful at predicting how fluids flow and swirl. But they fail to account for the microscopic bits that make up matter. But now math based on symmetries offers a new conception of fluids and why they behave the way that they do.

On this episode of The Quanta Podcast, host Samir Patel speaks with writer Charlie Wood on the lo...


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Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics.

The article New Proofs Probe Soap-Film Singularities firs...


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Reasoning comes in many technically defined forms, but the basic procedure is easily recognizable: arriving at a sound conclusion by linking together intermediate steps that logically follow from each other. But when it comes to artificial intelligence, it appears AI can either solve famous mathematical research problems in one shot — or experience a “complete accuracy collap...


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Why are only 10% of people left-handed? Geneticists, developmental biologists, neuroscientists, and evolutionary biologists have all sought explanations, resulting in an astronomical amount of research into the mystery of handedness. No one has put all the pieces together yet, but over the last few years, some major new clues have emerged.

On this episode of The Quanta ...


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