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Entropy and Principle of Maximum Entropy

1998
Clausius 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, 2013
The 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 relevance of maximum entropy production principle and maximum information entropy principle in biology

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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Structural fragility and principle of maximum entropy

Structural Safety, 1985
Abstract 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), 2019
The 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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A novel HfNbTaTiV high-entropy alloy of superior mechanical properties designed on the principle of maximum lattice distortion

Journal of Materials Science & Technology, 2021
Zibing An   +7 more
semanticscholar   +1 more source

Numerical taxonomy and the principle of maximum entropy

Journal of Classification, 1996
zbMATH 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, 1980
A 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.
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