Titlebook: Algebraic Approach to Data Processing; Techniques and Appli Julio C. Urenda,Vladik Kreinovich Book 2022 The Editor(s) (if applicable) and T

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What Are the Most Natural and the Most Frequent Transformations,In data processing, we deal with numerical values of different physical quantities. Computers just treat these values as numbers, but from the physical viewpoint, it is important to understand that the numerical values are not absolute: they change if we change the measuring unit and/or the starting point for measuring the corresponding quantity.

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General Application: Dynamical Systems,It can be proven that linear dynamical?systems exhibit either stable behavior, or unstable behavior, or oscillatory behavior, or transitional behavior.

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Medical Application: Diagnostics, Part 1,To adequately treat different types?of lung dysfunctions in children, it is important to properly diagnose the corresponding dysfunction, and this is not an easy task. Neural networks have been trained to perform this diagnosis, but they are not perfect in diagnostics: their success rate is 60%.

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Medical Application: Treatment,In this?chapter, we show that many aspects of complex biological processes related to wound healing?can be explained in terms of the corresponding geometric symmetries.

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