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Shannon entropy4/14/2023 In this paper, a detailed study of the Shannon information entropy for the quantum version of the Darboux III oscillator is presented, and the interplay between entropy and curvature is analysed. This oscillator can be interpreted as a smooth (super)integrable deformation of the usual $N$-dimensional harmonic oscillator in terms of a non-negative parameter $\lambda$ which is directly related to the curvature of the underlying space. The so-called Darboux III oscillator is an exactly solvable $N$-dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. Determinar la riqueza, abundancia y caracterización de las principales especies de Pteridofitas en la Reserva Cofán Bermejo, aplicando los índices de Shannon y Simpson, complementando con la ayuda del repositorio Bioweb. En este contexto, el presente estudio tuvo como objetivo general determinar la diversidad alfa de Pteridofitas en la Reserva Cofán Bermejo, provincia de Sucumbíos, mediante técnicas individuales que permita establecer desafíos en procesos de conservación biológica y 4 objetivos específicos Diagnosticar la situación actual del área de estudio, mediante entrevistas semiestructuradas de campo, para establecer una línea base. En los últimos 10 años no han existido investigaciones sobre las pteridofitas en la Reserva Ecológica Cofán Bermejo y se desconoce su situación actual respecto de su diversidad y estado ecológico. Son de importancia ecológica por que se fijan al suelo otorgando una protección contra la erosión, cumplen funciones muy importantes dentro de los ecosistemas, ya que intervienen en el ciclo del nitrógeno y fósforo por lo tanto pueden actuar como fitorremediadores de la salud de los ecosistemas. You can't preview comments here, but I'm happy to fix errors.Resumen: Los helechos son un grupo taxonómico de criptógamas vasculares pertenecientes al reino plantae división de las pteridofitas, estas carecen de flores y semillas. Double dollar signs don't work, and other limitations apply, some described here. You need the word 'latex' right after the first dollar sign, and it needs a space after it. You can include math in your comments using LaTeX, but you need to do it this way: Tai-Danae Bradley, Entropy as a topological operad derivation, 2021.Arthur Parzygnat, Towards a functorial description of quantum relative entropy, 2021.Arthur Parzygnat, A functorial characterization of von Neumann entropy, 2020.Tom Leinster, Entropy and Diversity: the Axiomatic Approach, 2020.Nicolas Gagné and Prakash Panangaden, A categorical characterization of relative entropy on standard Borel spaces, 2017.Tom Leinster, A short characterization of relative entropy, 2017.John Baez and Tobias Fritz, A Bayesian characterization of relative entropy, 2014.Tom Leinster, An operadic introduction to entropy, 2011.John Baez, Tobias Fritz and Tom Leinster, A characterization of entropy in terms of information loss, 2011.This is joint work with Tom Leinster and Tobias Fritz. Shannon entropy then gives the only concept of information loss that is functorial, convex-linear and continuous. But what properties single out Shannon entropy as special? Instead of focusing on the entropy of a probability measure on a finite set, it can help to focus on the “information loss”, or change in entropy, associated with a measure-preserving function. You can watch it live on Zoom if you register, or recorded later. I’m giving a talk at Categorical Semantics of Entropy on Wednesday May 11th, 2022.
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