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Entropy and Principle of Maximum Entropy
1998Clausius coined the term ‘entropy’ from the Greek meaning transformation. Thus, entropy originated in physics and occupies an exceptional position among physical quantities. It does not appear in the fundamental equations of motion. Its nature is, rather, a statistical or probabilistic one, for it can be interpreted as a measure of the amount of chaos ...
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Principles of maximum entropy and maximum caliber in statistical physics
Reviews of Modern Physics, 2013The variational principles called maximum entropy (MaxEnt) and maximum caliber (MaxCal) are reviewed. MaxEnt originated in the statistical physics of Boltzmann and Gibbs, as a theoretical tool for predicting the equilibrium states of thermal systems. Later, entropy maximization was also applied to matters of information, signal transmission, and image ...
Steve Pressé +3 more
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The student distribution and the principle of maximum entropy
Annals of the Institute of Statistical Mathematics, 1982V. Preda
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2013
Prigogine and Wiame noticed correctly that biological processes are irreversible and as such should be described within irreversible thermodynamics. They took the entropy production as the basic quantity for the description of biological processes. In contrast to Prigogine.
Juretić, Davor, Županović, Paško
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Prigogine and Wiame noticed correctly that biological processes are irreversible and as such should be described within irreversible thermodynamics. They took the entropy production as the basic quantity for the description of biological processes. In contrast to Prigogine.
Juretić, Davor, Županović, Paško
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Structural fragility and principle of maximum entropy
Structural Safety, 1985Abstract The concept of structural fragility with application to seismic probabilistic risk assessment is considered. Different formats of structural fragility representation are discussed. The principle of maximum entropy for a fragility distribution is formulated.
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Duality of the Principle of the Entropy Maximum
2019 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon), 2019The compositional distribution law of a random variable is obtained, which ensures a minimum of dispersion at a given entropy, as well as the condition that the distribution density at the boundaries of the interval of existence is zero. It is shown that this law complies with the known composition, which provides the maximum entropy with restrictions ...
V. Kopp, A. Balakin, N Balakina
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Numerical taxonomy and the principle of maximum entropy
Journal of Classification, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gyllenberg, Mats, Koski, Timo
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Estimation of State Probabilities Using the Maximum Entropy Principle
IBM Journal of Research and Development, 1980A simple method is derived for computing state probabilities of a system when the probabilities of certain aggregate states are known. The method is based on maximizing the system entropy. It is shown that the results obtained by the method satisfy certain assumptions on statistical independence between events.
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The principle of maximum entropy
Abstract Shannon quantifies the information-carrying capacity of a channel. He connects this with the probabilities of the next letter being a or b, … and shows that Gibbs’s entropy of this probability distribution is the correct measure of the channel’s capacity.openaire +1 more source

