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Maschke Type Theorems for Weak Hopf Quasigroups

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Algebra Colloquium 2020年第2期27卷 213-230页

作者： J.N.Alonso Alvarez J.M.Fernández Vilaboa R.González Rodríguez departamento de Matematicas Vniversidade de Vigo Campus Universitario Lagoas-MarcosendeE-36280 VigoSpain departamento de Matematicas Universidade de Santiago de Compostela E-15771 Santiago de CompostelaSpain departamento de Matematica Aplicada II Universidade de Vigo Campus Universitario Lagoas-MarcosendeE-36310 VigoSpain

In this paper we give necessary and sufficient conditions for a comodule magma over a weak Hopf quasigroup to have a total integral,thus extending the theories developed in the Hopf algebra,weak Hopf algebra and non-associative Hopf algebra *** this result we also deduce a version of Maschke’s theorems for right(H,B)-Hopf triples associated to a weak Hopf quasigroup H and a right H-comodule magma B.

关键词： (weak)Hopf algebra (weak)Hopf quasigroup integral Maschke theorem

A Characterization of Linearly Semisimple Groups

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Acta Mathematica Sinica,English Series 2011年第1期27卷 185-192页

作者： Amelia ALVARE Z Pedro SANCHO Carlos SANCHO departamento de Matemdticas Universidad de Extremadura Avenida de Elvas s/n 06006 Badajoz Spain departamento de Matemdticas Universidad de Salamanca Plaza de la Merced 1-4 37'008 Salamanca Spain

Let G -- Spec A be an affine K-group scheme and A = （w ∈ A＊： dimK A＊-w 〈 ∞, dimK w. A＊〈 ∞}. Let （-, -）： A＊ × A → K, （w, w）：= tr（ww）, be the trace form. We prove that G is linearly reductive if... 详细信息

Let G -- Spec A be an affine K-group scheme and A = （w ∈ A＊： dimK A＊-w 〈 ∞, dimK w. A＊〈 ∞}. Let （-, -）： A＊ × A → K, （w, w）：= tr（ww）, be the trace form. We prove that G is linearly reductive if and only if the trace form is non-degenerate on A＊.

关键词： Linearly reductive group trace form Pontrjagin's duality

Molecular and compact four-quark states

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Chinese Physics C 2010年第9期34卷 1290-1293页

作者： A.Valcarce J.Vijande departamento de Física Fundamental Universidad de Salamanca departamento de Física Atómica Molecular y NuclearUniversidad de Valencia (UV) and IFIC (UV-CSIC)

We study charmonium （ccnn）,bottomonium （b bnn） and exotic （ccnn and bbnn） four-quark states by means of a standard non-relativistic quark potential *** look for possible bound *** them we are able to distinguish... 详细信息

关键词： tetraquarks quark-models charmonium exotics

Fermion bound states in geometrically deformed backgrounds

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Chinese Physics C 2019年第1期43卷 1-8页

作者： D.Bazeia A.Mohammadi D.C.Moreira departamento de Física Universidade Federal da Paraíba departamento de Física Universidade Federal de Pernambuco Unidade Acadêmica de Física Universidade Federal de Campina Grande

This work deals with the behavior of fermions in the background of kinklike structures in the twodimensional spacetime. The kinklike structures appear from bosonic scalar field models that engender distinct profiles and interact with the fermion fields via the standard Yukawa coupling. We first consider two models that engender parity symmetry, one leading to the exclusion of fermion bound states, and the other to the inclusion of bound states, when the parameter that controls the bosonic structure varies from zero to unity. We then investigate a third model where the kinklike solution explicitly breaks parity symmetry, leading to fermion bound states that are spatially asymmetric.

关键词： topological defect fermion interaction bound state

PLANE WAVES NUMERICAL STABILITY OF SOME EXPLICIT EXPONENTIAL METHODS FOR CUBIC SCHRODINGER EQUATION

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Journal of Computational Mathematics 2016年第4期34卷 385-406页

作者： Begona Cano Adolfo Gonzalez-Pachon departamento de Matemdtica Aplicada Universidad de Valladolid IMUVA Paseo de Beldn 7 47011 VaUadolid Spain departamento de Matemdtica Aplicada Universidad de Valladolid IMUVA Paseo de Beldn 7 47011 Valladolid Spain

Numerical stability when integrating plane waves of cubic SchrSdinger equation is thor- oughly analysed for some explicit exponential methods. We center on the following second- order methods： Strang splitting and Lawson method based on a one-parameter family of 2-stage 2nd-order explicit Runge-Kutta methods. Regions of stability are plotted and numerical results are shown which corroborate the theoretical results. Besides, a tech- nique is suggested to avoid the possible numerical instabilities which do not correspond to continuous ones.

关键词： Numerical stability Exponential splitting Lawson methods Projection ontoinvariant quantities Plane waves SchrSdinger equation.

Mapping Between Charge-Dyon and Position-dependent Mass Systems

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Communications in Theoretical Physics 2019年第10期71卷 1261-1266页

作者： Anderson L.de Jesus Alexandre G.M.Schmidt departamento de Fisica de Volta Redonda Instituto de Ciencias Exatas—Universidade Federal Fluminense

The primary purpose of this work is to reproduce the scenario composed of a charge-dyon system utilizing position-dependent effective mass(PDM) background in the non-relativistic and in the relativistic regimes. In the nonrelativistic case we substitute the exact charge-dyon eigenfunction into PDM Schr?dinger equation, in the Zhu-Kroemer parametrization, and then solve it for the mass distribution considering M = M(r). Analogously, in the relativistic case we study the Klein-Gordon equation for a position-dependent mass, and in this case, we are able to analytically solve the equation for M = M(r, θ).

关键词： position-dependent mass Schrodinger equation Klein-Gordon equation dyon

Modern data sources and techniques for analysis and forecast of road accidents:A review

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Journal of Traffic and Transportation Engineering(English Edition) 2020年第4期7卷 432-446页

作者： Camilo Gutierrez-Osorio Cesar Pedraza departamento de Ingeniena de Sistemas e Industrial Universidad Nacional de ColombiaBogotaColombia

Road accidents are one of the most relevant causes of injuries and death worldwide,and therefore,they constitute a significant field of research on the use of advanced algorithms and techniques to analyze and predict traffic accidents and determine the most relevant elements that contribute to road *** research of road accident prediction aims to respond to the challenge of offer tools to generate a more secure mobility environment,and ultimately,save *** paper aims to provide an overview of the state of the art in the prediction of road accidents through machine learning algorithms and advanced techniques for analyzing information,such as convolutional neural networks and long short-term memory networks,among other deep learning ***,in this article,a compendium and study of the most used data sources for the road accident forecast is *** a classification is proposed according to its origin and characteristics,such as open data,measurement technologies,onboard equipment and social media *** the analysis of the information,the different algorithms employed to make predictions about road accidents are listed and compared,as well as their applicability depending on the types of data being analyzed,along with the results obtained and their ease of interpretation and *** best results reported by the authors are obtained when two or more analytic techniques are combined,in such a way that analysis of the obtained results is *** the future challenges in road traffic forecasting lies the enhancement of the scope of the proposed models and predictions by the incorporation of heterogeneous data sources,that include geo spatial data,information from traffic volume,traffic statistics,video,sound,text and sentiment from social media,that many authors concur that can improve the precision and accuracy of the analysis and predictions.

关键词： Traffic engineering Data analysis Machine learning Road accident forecasting Traffic accident prediction

SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD

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Acta Mathematica Scientia 2010年第5期30卷 1687-1695页

作者： J.M.Soriano departamento de Ana'lisis Matem'atico Facultad de Matema'ticasUniversidad de Sevilla

Sufficient conditions are given to assert that two C1-mappings share only one value in a connected compact Banach manifold modelled over Rn. The proof of the result, which is based upon continuation methods, is constr... 详细信息

关键词： regular value continuation methods atlas chart Banach manifold compactness

Statistical evaluation of fluoride contamination in groundwater resources of Santiago del Estero Province, Argentina

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Geoscience Frontiers 2020年第6期11卷 2197-2205页

作者： K.Rondano Gómez C.E.López Pasquali G.Paniagua González P.Fernández Hernando R.M.Garcinuño Martínez departamento de Ciencias Básicas Facultad de Ciencias ForestalesUniversidad Nacional de Santiago Del EsteroArgentina departamento de Ciencias Analíticas Facultad de CienciasUniversidad Nacional de Educación a DistanciaSpain departamento de Química Analítica Facultad de Agronomía y AgroindustriasUniversidad Nacional de Santiago Del EsteroArgentina

This study investigates the suitability of statistical techniques for evaluating the fluoride content and the groundwater quality from Robles department(RD)and Banda department(BD)in Santiago del Estero(Argentina).For the original statistical study,evaluation of nine parameters(fluoride,pH,conductivity,atmospheric and water temperature,total dissolved solids,chloride,hardness,and alkalinity)of 110 collected underground water samples from 23 dispersed rural areas was *** samples were obtained by sampling taken from wells at different *** levels were determined by a standard colorimetric method in two seasonal periods,the dry(from April to September)and rainy(from October to March)*** analytical results obtained for physicochemical parameters such as pH,total dissolved solids(TDS),and temperature does not reveal any notable difference between the rainy and dry seasons *** both seasons,the atmospheric temperature average was 22℃.With respect to fluoride content,approximately 50%of the analysed groundwater samples exceeded the limit established by current legislation(1.0 mg/L),obtaining concentration levels in the range of 0.01-2.80 mg/*** study demonstrates the usefulness of the univariate statistical method(quartiles calculation,interquartile range IQR),multivariate principal component analysis(PCA),and cluster analysis to establish a better understanding of the state of the contamination of the waters in the region studied.

关键词： Source water protection Santiago del Estero Multivariate statistical analysis Fluoride Spectrophotometry