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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.
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems.
Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.
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