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  • Format: PDF

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.
This book shows how symmetries can be used in all classes of algorithmic problems
…mehr

Produktbeschreibung
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.

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.


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