Algebraic Representation of the Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
- Autores: Zaripov R.G.1
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Afiliações:
- Institute of Mechanics and Machine Building of the Kazan’ Scientific Center of the Russian Academy of Sciences
- Edição: Volume 59, Nº 8 (2016)
- Páginas: 1135-1144
- Seção: Article
- URL: https://bakhtiniada.ru/1064-8887/article/view/237467
- DOI: https://doi.org/10.1007/s11182-016-0883-8
- ID: 237467
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Resumo
An algebraic representation of the group of nonextensive, parameterized Havrda–Charvat–Daroczy entropy vectors that depend on three distributions is constructed. The composition law of conformally-generalized hypercomplex numbers is considered, and properties of a commutative, nonassociative algebra are derived. The exponential form of the number and functions of numbers with hyperbolic angles are presented.
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Sobre autores
R. Zaripov
Institute of Mechanics and Machine Building of the Kazan’ Scientific Center of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: zaripov@mail.knc.ru
Rússia, Kazan’
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