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Best Practice & Research Clinical Anaesthesiology, 2006
The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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The concept of entropy, originally derived from thermodynamics, has been successfully applied to EEG analysis. Various entropy algorithms have been used in clinical studies, but until now a commercially available monitor exists only for spectral entropy.
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Preimage Entropy and Stable Entropy on Subsets
Journal of Statistical Physics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dandan Cheng, Zhiming Li, Weisheng Wu
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Entropies and cross-entropies of exponential families
2010 IEEE International Conference on Image Processing, 2010Statistical modeling of images plays a crucial role in modern image processing tasks like segmentation, object detection and restoration. Although Gaussian distributions are conveniently handled mathematically, the role of many other types of distributions has been revealed and emphasized by natural image statistics.
Frank Nielsen, Richard Nock
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Entropy and the Entropy Principle
2019Clausius generalized the mathematical expression of Carnot’s principle obtained by Kelvin, and in 1865, introduced the concept of entropy and formulated the entropy principle. With the concept of entropy and the idea of the entropy principle, a definition of heat can be given, as well as mathematical formalism on equilibrium thermodynamics was ...
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Entropy Power Inequality for the Rényi Entropy
IEEE Transactions on Information Theory, 2015The classical entropy power inequality is extended to the Renyi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
Sergey G. Bobkov, Gennadiy P. Chistyakov
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When is an Entropy an Entropy?
AIP Conference Proceedings, 2006I consider the conceptual arguments leading to the validity of the conventional physical approach to thermodynamics, as we know it. In spite of the familiarity we have with this approach, its internal logical structure deserves to be extracted. No new features are found, but some universal properties emerge. These are then applied to the unconventional
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Materialwissenschaft und Werkstofftechnik, 2014
Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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Entropy as a function of temperature at constant volume, S(T), can be determined by integrating the molar specific entropy capacity CV/T (CV: molar specific heat capacity at constant volume). As a second approach, S(T) at constant volume can be determined by differentiating the free energy with respect to the temperature, T. Recently, it has been shown
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TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY
International Journal of Mathematics, 1994Using Yomdin's Theorem [8], we show that for a compact Riemannian manifold M, the geodesic entropy — defined as the exponential growth rate of the average number of geodesic segments between two points — is ≤ the topological entropy of the geodesic flow of M.
Paternain, Gabriel P., Paternain, Miguel
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Entropy and Entropy Production
1973The limitations of a thermodynamic theory of a continuum by the atomic structure of matter are briefly discussed. They imply that any thermodynamic theory is of an approximate nature. Main emphasis is laid on the concept of a nonequilibrium entropy. It is shown that to an isothermal electrical network one can apply thermodynamic reasoning.
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High-entropy ceramics: Review of principles, production and applications
Materials Science and Engineering Reports, 2021Masayoshi Fuji +2 more
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