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A new analysis clears some of the remaining hurdles to a completely rigorous density-functional theory for calculating the properties of materials at finite temperature.
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Foraging animals or other randomly moving entities can more easily avoid each other by taking more long-distance jumps, according to theoretical results, which may also apply to epidemics and database searches.
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Reducing coordination among local nodes in a network suffering from time lags can improve the overall performance of the entire network.
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A mathematical model for swarming locusts suggests that their random direction switches occur after small errors of many individuals add up to a large effect.
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Magnetic resonance images of tetrahedral dice show a density of random close packing, in agreement with recent calculations.
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