therefore the Tsallis entropy is in closed-form. The Tsallis Entropy has been used along with the Principle of maximum entropy to derive the Tsallis distribution...
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Constantino Tsallis. Using that collection, it is possible to derive Tsallis distributions from the optimization of the Tsallis entropic form. A continuous...
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In statistics, a Tsallis distribution is a probability distribution derived from the maximization of the Tsallis entropy under appropriate constraints...
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Q-Gaussian distribution (section Entropy)
arising from the maximization of the Tsallis entropy under appropriate constraints. It is one example of a Tsallis distribution. The q-Gaussian is a generalization...
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Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The...
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(order and disorder) Entropy (information theory) History of entropy Information theory Thermodynamic free energy Tsallis entropy Jaynes, E.T. (1965)....
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daughter. Tsallis is an External Professor of the Santa Fe Institute. Tsallis is credited with introducing the notion of what is known as Tsallis entropy and...
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left-handed polyatomic molecule) Tsallis entropy, a generalization of Boltzmann-Gibbs entropy von Neumann entropy, entropy in quantum statistical physics...
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resonance. Constantino Tsallis Tsallis statistics Tsallis entropy Tsallis distribution q-copula q-Gaussian Tsallis, C. Nonadditive entropy and nonextensive...
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A thermodynamic free entropy is an entropic thermodynamic potential analogous to the free energy. Also known as a Massieu, Planck, or Massieu–Planck potentials...
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Normal distribution (section Maximum entropy)
Gaussian distribution, in the sense that it maximises the Tsallis entropy, and is one type of Tsallis distribution. This distribution is different from the...
148 KB (22,607 words) - 14:31, 23 May 2025
quantities include the Rényi entropy and the Tsallis entropy (generalizations of the concept of entropy), differential entropy (a generalization of quantities...
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q-distribution q-exponential distribution q-Weibull distribution Tsallis q-Gaussian Tsallis entropy Basic hypergeometric series Elliptic gamma function Hahn–Exton...
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impurity is also an information theoretic measure and corresponds to Tsallis Entropy with deformation coefficient q = 2 {\displaystyle q=2} , which in physics...
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has proposed a nonextensive entropy (Tsallis entropy), which is a generalization of the traditional Boltzmann–Gibbs entropy. The rationale behind the theory...
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transitions, criticality, self-organized criticality, non-extensivity (see Tsallis entropy), q-Gaussian models, and agents based models (see agent based model);...
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function / (1:D) Tsallis entropy / (1:DC) Almost surely / (1:C) (LS:D) Continuity correction / (1:DC) Edgeworth series / (1:C) Entropy / (1:BDC) Indecomposable...
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Non-extensive self-consistent thermodynamical theory (section Non-extensive entropy for ideal quantum gas)
presents a constant temperature and constant entropic factor. The connection between Hagedorn's theory and Tsallis statistics has been established through...
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Wavelet Packet Transform with Tsallis Entropy and Generalized Eigenvalue Proximal Support Vector Machine (GEPSVM)". Entropy. 17 (4): 1795–1813. Bibcode:2015Entrp...
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Protásio (2011), "A comparative study of use of Shannon, Rényi and Tsallis entropy for attribute selecting in network intrusion detection", IEEE International...
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consideration of a deformed left-action generalises the framework to Tsallis entropies. The information cohomology is an example of ringed topos. Multivariate...
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Jackson integral Q-exponential Q-difference polynomials Quantum calculus Tsallis entropy Jackson 1908, pp. 253–281. Kac & Pokman Cheung 2002. Ernst 2012. Koepf...
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generalized nonadditive entropy S q {\displaystyle S_{q}} , Constantino Tsallis demonstrated that for a unique value of the entropic index q, S q {\displaystyle...
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Trouton–Rankine experiment Troy ounce True anomaly Truss Trygve Røed-Larsen Tsallis entropy Tsiolkovsky rocket equation Tsirelson's bound Tsunami Tsunami warning...
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{q-1}}\right)-x_{m}\right],{\text{ then }}X\sim Y\,} Constantino Tsallis Tsallis statistics Tsallis entropy Tsallis distribution q-Gaussian Picoli, S. Jr.; Mendes, R...
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probability distribution arising from the maximization of the Kaniadakis entropy under appropriate constraints. It is one example of a Kaniadakis distribution...
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appears in the partition function by the q-exponential function from the Tsallis non-extensive statistics. With this modification the generalized theory...
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distribution Truncated regression model Truncation (statistics) Tsallis distribution Tsallis statistics Tschuprow's T Tucker decomposition Tukey's range test –...
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follows a Gamma distribution, the resulting superstatistics corresponds to Tsallis statistics. Superstatistics can also lead to other statistics such as power-law...
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related to different constraints used in the maximization of the Kaniadakis entropy, such as the κ-Exponential distribution, κ-Gaussian distribution, Kaniadakis...
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