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The American mathematician invented entire new ways to understand shapes and spaces.
Syukuro Manabe and Klaus Hasselmann have been honored for their work that led to reliable predictions of the effects of climate change. They will share the Nobel with Giorgio Parisi, who has made pioneering studies of chaotic physical systems.
Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.
In new computer experiments, artificial-intelligence algorithms can tell the future of chaotic systems.
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