Details
Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering
An Approach Based on Symmetry and SimilarityStudies in Systems, Decision and Control, Band 14
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CHF 118.00 |
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| Verlag: | Springer |
| Format: | |
| Veröffentl.: | 18.10.2014 |
| ISBN/EAN: | 9783662449554 |
| Sprache: | englisch |
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Beschreibungen
<p>This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance. </p><p>This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.</p>
Introduction: Symmetries and Similarities as a Methodology for Algorithmics of Analysis, Prediction, and Control in Science and Engineering.- Algorithmic Aspects of Real-Life Systems Analysis: Approach Based on Symmetry and Simila.- Algorithmic Aspects of Prediction: An Approach Based on Symmetry and Similarity.- Algorithmic Aspects of Control: Approach Based on Symmetry and Similarity.- Possible Ideas for FutureWork.
<p>This book demonstrates how to describe and analyze a</p><p>system's behavior and extract the desired prediction and control</p><p>algorithms from this analysis. A typical prediction is based on observing similar</p><p>situations in the past, knowing the outcomes of these past</p><p>situations, and expecting that the future outcome of the current</p><p>situation will be similar to these past observed outcomes. In</p><p>mathematical terms, similarity corresponds to symmetry, and</p><p>similarity of outcomes to invariance.</p><p> </p><p>This book shows how symmetries can be used in all classes of algorithmic problems of</p><p>sciences and engineering: from analysis to prediction to control.</p><p>Applications cover chemistry, geosciences, intelligent control,</p><p>neural networks, quantum physics, and thermal physics.</p><p>Specifically, it is shown how the approach based</p><p>on symmetry and similarity can be used in the analysis of real-life systems, in the</p><p>algorithms of prediction, and in the algorithms of control.</p>
Presents how symmetries can be used in all classes of algorithmic problems of sciences and engineering Shows how the symmetry-based approach can be used in the analysis of real-life systems, from prediction to control Written by leading experts in the field
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