Results 271 to 280 of about 125,230 (316)
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Measurement of granular entropy
Physical Review E, 2009Recently, Dean and Lefèvre [Phys. Rev. Lett. 90, 198301 (2003)] developed a method for testing the statistical mechanical theory of granular packings proposed by Edwards and co-workers [Physica A 157, 1080 (1989); Phys. Rev. E 58, 4758 (1998)]. The method relies on the prediction that the ratio of two overlapping volume histograms should be exponential
Mcnamara, Sean +4 more
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2022
This chapter studies the measurement of the entropy of a substance, which is important to make the Second Law quantitative. This is achieved by measuring heat capacities. The chapter then looks at the calorimetric measurement of entropy. Entropies are determined calorimetrically by measuring the heat capacity of a substance from low temperatures up to ...
Peter Atkins +2 more
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This chapter studies the measurement of the entropy of a substance, which is important to make the Second Law quantitative. This is achieved by measuring heat capacities. The chapter then looks at the calorimetric measurement of entropy. Entropies are determined calorimetrically by measuring the heat capacity of a substance from low temperatures up to ...
Peter Atkins +2 more
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Entropy measure for orderable sets
Information Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Zhang, Yong Deng 0001
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2010
A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
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A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
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On the Shannon measure of entropy
Information Sciences, 1981Abstract This paper deals with the axiomatic characterization of Shannon's entropy for generalized probability distributions (A. Renyi, 1961). Also the author has extended Shannon's entropy to subsets of n-dimensional Euclidean space, n = 1,2,3,…. Finally, he has introduced a functional equation, which is a generalization of the one due to T.
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IEEE Transactions on Information Theory, 1965
A probability space of a special type is put into correspondence with a measure space. Under this correspondence, sets in the measure space correspond to partitions of the probability space and the measure of a set equals the entropy of the corresponding partition.
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A probability space of a special type is put into correspondence with a measure space. Under this correspondence, sets in the measure space correspond to partitions of the probability space and the measure of a set equals the entropy of the corresponding partition.
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On the entropy of fuzzy measures
IEEE Transactions on Fuzzy Systems, 2000Fuzzy measures provides a structure for modeling the knowledge available about variables whose values are unknown and uncertain. A large class of different types of uncertainty can be represented in this framework. In this work, we provide a measure of entropy that can be used to calculate the amount of uncertainty associated with a fuzzy measure.
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Minimum entropy and information measure
IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews), 1998Kapur et al. (1995) introduced the MinMax information measure, which is based on both maximum and minimum entropy. The major obstacle for using this measure, in practice, is the difficulty in finding the minimum entropy. An analytical expression has already been developed for calculating the minimum entropy when only variance is specified.
Lin Yuan, H. K. Kesavan
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