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Hall Polynomials for Affine Quivers of Type _m(m≥1)

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Acta Mathematica Sinica,English Series 2008年第3期24卷 387-396页

作者： tao xie Department of Mathematics Hubei Normal University Huangshi 435002 P. R. China

It is well known that Hall polynomials as structural coefficients play an important role in the structure of Lie algebras and quantum groups. By using the properties of representation categories of affine quivers, the task of computing Hall polynomials for affine quivers can be reduced to counting the numbers of solutions of some matrix equations. This method has been applied to obtain Hall polynomials for indecomposable representations of quivers of type Am（m≥1）

关键词： affine quiver preprojective module preinjective module regular module Hall polynomial

Exact solution of the two-mode quantum Rabi model

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Communications in Theoretical Physics 2020年第6期72卷 57-64页

作者： Qiong-tao xie College of Physics and Electronic Engineering Hainan Normal UniversityHaikou 571158China

An analytical method is developed to study the two-mode quantum Rabi *** certain specific parameter conditions,especially for the resonant conditions,we obtain an infinite number of the exact solutions of the eigenfunctions and associated *** is shown that there exist new types of the exact energies which do not correspond to the *** analytical method may find applications in some related models.

关键词： exact solutions two-mode quantum Rabi model level-crossings

Self-Trapping of Two Weakly Coupled Bose-Einstein Condensates with Oscillating Atomic Scattering Length

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Communications in Theoretical Physics 2009年第5期51卷 839-842页

作者： xie Qiong-tao Department of Physics Hunan Normal University Changsha 410081 China

We investigate the self-tapping phenomena for two weakly coupled Bose-Einstein condensates with a rapid periodic modulation of the atomic scattering length. By using an averaging method, the equations of motion of the slow dynamics are derived to analyze the self-trapping behavior. It is shown numerically that under certain conditions, an alternative self-trapping in either well appears.

关键词： Bose-Einstein condensates double-well potential self-tapping averaging method

Viscous Rayleigh-Taylor instability with and without diffusion effect

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Applied Mathematics and Mechanics(English Edition) 2017年第2期38卷 263-270页

作者： Chenyue xie Jianjun tao Ji LI Center for Applied Physics and Technology (CAPT)-MOE Key Laboratory of High Energy Density Physics Simulation (HEDPS) State Key Laboratory for Turbulence and Complex System (SKLTCS) Department of Mechanics and Engineering ScienceCollege of Engineering Peking University Department of Engineering University of Cambridge

The approximate but analytical solution of the viscous Rayleigh-Taylor insta- bility （RTI） has been widely used recently in theoretical and numerical investigations due to its clarity. In this paper, a modified analytical solution of the growth rate for the viscous RTI of incompressible fluids is obtained based on an approximate method. Its accuracy is verified numerically to be significantly improved in comparison with the previous one in the whole wave number range for different viscosity ratios and Atwood numbers. Fur- thermore, this solution is expanded for viscous RTI including the concentration-diffusion effect.

关键词： viscous Rayleigh-Taylor instability (RTI) dispersion relation diffusioneffect

Effect of electrostatic tractions on the fracture behavior of a dielectric material under mechanical and/or electric loading

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Science China(Technological Sciences) 2012年第9期55卷 2391-2403页

作者： ZHANG TongYi xie tao Department of Mechanical Engineering Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong China

The effect of electrostatic tractions on the fracture behavior of a dielectric material under mechanical and/or electric loading is analyzed,by studying a pre-cracked parallel-plate capacitor,and illustrated by *** results indicate that electrostatic tractions on the electrodes compress the material in front of the crack tip,while electrostatic tractions on the crack faces have the tendency to close the crack and stretch the material behind the crack *** load is the driving force to propagate the crack,while applied electric field retards crack propagation due to the electrostatic *** a direct consequence,the fracture criterion is composed of two parts:the energy release rate must exceed a critical value and the mechanical load must be higher than the critical value for crack opening.

关键词： electrostatic traction fracture dielectric materials combined mechanical and electrical loading energy release rate

Generalized Christoffel Functions for Power Orthogonal Polynomials

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Acta Mathematicae Applicatae Sinica 2014年第3期30卷 819-832页

作者： xie tao Yan LIANG Guangdong Country Garden School College of Mathematics and Computer Science Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China)Hunan Normal University

In this paper we extend the Christoffel functions to the case of power orthogonal *** existence and uniqueness as well as some properties are given.

关键词： generalized Christoffel function existence uniqueness gaussian quadrature formula Christoffel number

Design and Experiment of the High Speed Wire Drawing with Ultrasound

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Chinese Journal of Mechanical Engineering 2009年第4期22卷 580-586页

作者： QI Haiqun SHAN Xiaobiao xie tao School of Meehatronics Engineering Harbin Institute of Technology Harbin 150001 China Department of Material and Chemical Engineering Heilongiiang Institute of Technology Harbin 150050 China

The previous experiments of wire drawing with ultrasonic vibration were mostly carried out on self-made machine or drawing test machine and the drawing speed didn＇t conform to practical production. In order to promote the practical application of the technology, the ultrasonic vibration system was designed and manufactured by using the classical dynamics method. The dynamic characteristic of the ultrasonic vibration system was analyzed. The performance parameters of the system were measured on the resistance analyzer. The oxygen-free brass wire drawing with ultrasonic vibration at the approximate speed of practice was carried out on the LH-200/17 drawing machine. By comparing the wire drawing through ultrasonic vibration and the conventional wire drawing, the experimental results show that the drawing process with ultrasound was steady at the high drawing speed of 1 126 mm/s, while the broken wire often occurs at the speed of 980 mm/s during the conventional wire drawing; the ultrasonic vibration reduced the drawing force by 7 %; and the ultrasound also reduced the uneven deformation of the wire and greatly improved the surface quality of the wire. The research results provide theoretical and experimental support for the practice and application of the wire drawing by ultrasonic vibration.

关键词： ultrasonic vibration wire drawing drawing experiment drawing force surface quality

Real-time localization for underwater equipment using an extremely low frequency electric field

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Defence Technology（防务技术） 2023年第8期26卷 203-212页

作者： Jia-wei Zhang Peng Yu Run-xiang Jiang tao-tao xie College of Weapon Engineering Naval University of EngineeringWuhan430033China Weaponry Department Naval Petty Officer AcademyBengbu233012China College of Electric Engineering Naval University of EngineeringWuhan430033China

A new real-time underwater equipment location method adopting an electric field induced by a standard current source is *** goals were real-time tracking and location of stationary or moving underwater equipment both in shallow and deep seas,under noisy *** main features of this method are as follows:(1)a standard current source on the water surface,which can be towed by a vehicle,consisting of two electrodes,a signal generator,and a GPS unit;(2)measurement of the extremely low frequency(ELF)electric field emitted by the current source,made possible by electric field sensors on the underwater equipment;(3)position of the underwater equipment is estimated in real time based on a progressive update extended Kalman filter(PUEKF),which is carried out using the propagation model of an ELF electric field because the electric field at the position of the underwater equipment and the current source position are *** verified the accuracy of our method and confirmed real-time location feasibility through numerical,physical scale,and real-time sea *** numerical experiments,we verified that our method works for underwater equipment location in real-world conditions,and the location error can be less than 0.2 ***,real-time location experiments for stationary underwater measuring equipment in water tank were *** result shows that the location error can be less than 0.1 *** also confirmed real-time location feasibility through the use of offshore *** expect that our method will complement conventional underwater acoustic location methods for underwater equipment in acoustically noisy environments.

关键词： Termsd Real-time tracking and location method Underwater equipment location ELF electric field Shallow sea Physical scale experiment Sea experiment

Graph-ranking collective Chinese entity linking algorithm

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Frontiers of Computer Science 2020年第2期14卷 291-303页

作者： tao xie Bin WU Bingjing JIA Bai WANG Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia Beijing University of Posts and TelecommunicationsBeijing 100876China

Entity linking(EL)systems aim to link entity mentions in the document to their corresponding entity records in a reference knowledge *** EL approaches usually ignore the semantic correlation between the mentions in the text,and are limited to the scale of the local knowledge *** this paper,we propose a novel graphranking collective Chinese entity linking(GRCCEL)algorithm,which can take advantage of both the structured relationship between entities in the local knowledge base and the additional background information offered by external knowledge *** improved weighted word2vec textual similarity and improved PageRank algorithm,more semantic information and structural information can be captured in the *** an incremental evidence mining process,more powerful discrimination capability for similar entities can be *** evaluate the performance of our algorithm on some open domain *** results show the effectiveness of our method in Chinese entity linking task and demonstrate the superiority of our method over state-of-the-art methods.

关键词： collective entity linking knowledge mapping word embedding entity correlation graph PageRank