Results 301 to 310 of about 758,529 (345)

Shannon entropy and Fisher information for endohedral confined one- and two-electron atoms

, 2021
In this work, we study the Shannon entropy and Fisher information of the H, He, Li+, and Be2+ atoms confined by a C60 cavity. The fullerene cavity is described by three model potentials: the square well (SW), Woods-Saxon (WS), and the Gaussian model (GM).
C. Martínez‐Flores
semanticscholar   +1 more source

Symmetry and the Shannon entropy

Information Sciences, 1981
Abstract Some equivalent systems of postulates characterizing the Shannon entropy of a finite discrete complete probability distribution are proposed.
Prem Nath, Man Mohan Kaur
openaire   +1 more source

On a characterization of the Shannon entropy

Kybernetika, 2021
It is studied a new characterization of the Shannon entropy using less restrictive assumptions on symmetry than extreme symmetry and block symmetry of \textit{M. M. Kaur} and \textit{P. Nath} [Inf. Control 53, 9-20 (1982; Zbl 0511.94012)].
Marzena Kosno, Dominik Szynal
openaire   +2 more sources

Multiscale Shannon entropy and its application in the stock market

Physica A: Statistical Mechanics and Its Applications, 2017
Rongbao Gu
exaly   +2 more sources

Cyclic symmetry and the Shannon entropy

Information Sciences, 1981
Abstract The authors have axiomatically characterized the Shannon entropy using cyclic symmetry.
Prem Nath, Man Mohan Kaur
openaire   +2 more sources

Urban Development and Complexity: Shannon Entropy as a Measure of Diversity

, 2020
Shannon entropy is offered here to establish an urban diversity indicator using the city of Sheffield, UK as an illustrative case. Diversity is calculated for several time periods throughout the city’s evolution and provides a means to evaluate the ‘mix’
D. Zachary, S. Dobson
semanticscholar   +1 more source

On the Shannon measure of entropy

Information Sciences, 1981
Abstract 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.
openaire   +1 more source

Shannon entropy and quantitative time irreversibility for different and even contradictory aspects of complex systems

, 2020
The Shannon entropy and quantitative time irreversibility (qTIR) are statistical quantifiers that are widely used for characterizing complex processes.
Wenpo Yao, Wenli Yao, D. Yao, Daqing Guo, Jui-Pin Wang   +4 more
semanticscholar   +1 more source

Squeezed states and Shannon entropy

Physical Review A, 1994
A wave-function approach to the interaction Hamiltonian for the degenerate parametric amplifier has been recently presented [C. G. Bollini and L. E. Oxman, Phys. Rev. A 47, 2339 (1993)]. We want to show here that a maximum entropy principle density matrix approach can be used to reobtain all the results shown in this reference, and also to avoid the ...
, Aliaga, , Crespo, , Proto
openaire   +2 more sources

Shannon entropy as a new measure of aromaticity, Shannon aromaticity

Physical Chemistry Chemical Physics, 2010
Based on the local Shannon entropy concept in information theory, a new measure of aromaticity is introduced. This index, which describes the probability of electronic charge distribution between atoms in a given ring, is called Shannon aromaticity (SA).
Siamak, Noorizadeh, Ehsan, Shakerzadeh
openaire   +2 more sources