Results 71 to 80 of about 11,294 (222)
Generalization of the partitioning of shannon diversity. [PDF]
Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously
Eric Marcon +4 more
doaj +1 more source
Tsallis and Kaniadakis statistics from a point of view of the holographic equipartition law
In this work, we have illustrated the difference between both Tsallis and Kaniadakis entropies through cosmological models obtained from the formalism proposed by Padmanabhan, which is called holographic equipartition law.
Abreu, Everton M. C. +3 more
core +1 more source
As the leading energy source, oil price volatility has crucial effects in energy markets, and geopolitical risks (GPRs) and economic policy uncertainties contribute to its volatility. Further, chaos, long‐range dependence, fractionality, and complexity significantly reduce modeling and forecast performances.
Özgür Ömer Ersin +2 more
wiley +1 more source
Tsallis Entropy and Degeneracy
For a Maxwell-Boltzmann situation, one may consider the number of permutations of N particles with n(ei) of them having energy ei i.e. N!/ Product over i n(ei)!. In such a case, n(ei)! removes the degeneracy of the identical n(ei) particles. In order to convert the degeneracies into a sum, one takes ln of the number of permutations. In such a case one
openaire +1 more source
Growth of perturbations in Tsallis and Barrow cosmology
We report the effects of entropic corrections to the Friedmann equations on the growth of perturbations in the early stages of the universe. We consider two types of corrections to the area law of entropy, known as Tsallis and Barrow entropy. Using these
Ahmad Sheykhi, Bita Farsi
doaj +1 more source
We give a new proof of the theorems on the maximum entropy principle in Tsallis statistics. That is, we show that the $q$-canonical distribution attains the maximum value of the Tsallis entropy, subject to the constraint on the $q$-expectation value and ...
Johnson O., Shigeru Furuichi, Tsallis C.
core +1 more source
Artificial intelligence‐assisted theranostics for brain tumors: Advancements and future perspectives
Graphical demonstration of different applications of AIT for brain tumor. The major applications include CT and MRI‐based segmentation and analysis, histopathological analysis, precision treatment planning and prognosis, surgical and radiotherapy optimization, real‐time intratreatment monitoring, biomarker discovery, and molecular profiling for ...
Mifang Li +6 more
wiley +1 more source
Channel Capacity of Coding System on Tsallis Entropy and q-Statistics
The field of information science has greatly developed, and applications in various fields have emerged. In this paper, we evaluated the coding system in the theory of Tsallis entropy for transmission of messages and aimed to formulate the channel ...
Tatsuaki Tsuruyama
doaj +1 more source
The q-exponential distributions, which are generalizations of the Zipf-Mandelbrot power-law distribution, are frequently encountered in complex systems at their stationary states.
A. K. Rajagopal +8 more
core +3 more sources
Abstract Although the concept of thermodynamic entropy due to Clausius dates back to the early 1850s, the mathematical theory of informational entropy was not developed until the pioneering work of Shannon in 1948, the development of principle of maximum entropy (POME) and theorem of concentration by Jaynes in 1957, principle of minimum cross entropy ...
Vijay P. Singh
wiley +1 more source

