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Mathematics News -- ScienceDaily
  • A mathematical model can improve the accuracy and repeatability of a positioning system by learning to anticipate tiny errors in its movements. Micromanipulation systems are used to control objects' positions with exquisite precision and play a vital role in applications such as telescopes and laser communication.
  • Topology, a branch of mathematics classifying geometric objects, has been exploited by physicists to predict and describe unusual quantum phases: the topological states of matter. These intriguing phases, generally accessible at very low temperature, exhibit unique conductivity properties which are particularly robust against external perturbations, suggesting promising technological applications. The great stability of topological states relies on a set of magic integers, the so-called Chern numbers, which remain immune to defects and deformations. For the first time scientists have succeeded in measuring the topological Chern number in a non-electronic system with high precision.

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by Dimitris Psoras - Tuesday, 18 January 2011, 06:20 AM
 
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