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Empirical likelihood for spatial cross-sectional data models with matrix exponential spatial specification

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Applied Mathematics(A Journal of Chinese Universities) 2024年第1期39卷 125-139页

作者： LIU Yan rong jian-rong QIN Yong-song Nanning University Nanning 530200China Center for Applied Mathematics of Guangxi and College of Mathematics and Statistics Guangxi Normal UniversityGuilin 541004China

In this paper,we study spatial cross-sectional data models in the form of matrix exponential spatial specification(MESS),where MESS appears in both dependent and error *** empirical likelihood(EL)ratio statistics are established for the parameters of the MESS *** is shown that the limiting distributions of EL ratio statistics follow chi-square distributions,which are used to construct the confidence regions of model *** experiments are conducted to compare the performances of confidence regions based on EL method and normal approximation method.

关键词： MESS empirical likelihood con dence region

Internal structural optimization of hollow fan blade based on sequential quadratic programming algorithm

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航空动力学报 2011年第4期26卷 787-793页

作者： YANG jian-qiu WANG Yan-rong School of Jet Propulsion Beijing University of Aeronautics and Astronautics Beijing 100191 China

Several structural design parameters for the description of the geometric features of a hollow fan blade were determined.A structural design optimization model of a hollow fan blade which based on the strength constraint and minimum mass was established based on the finite element method through these ***,the sequential quadratic programming algorithm was employed to search the optimal *** groups of value for initial design variables were chosen,for the purpose of not only finding much more local optimal results but also analyzing which discipline that the variables according to could be benefit for the convergence and *** surface method and Monte Carlo simulations were used to analyze whether the objective function and constraint function are sensitive to the variation of variables or *** the robust results could be found among a group of different local optimal solutions.

关键词： hollow fan blade structural optimization sequential quadratic algorithm finite element method Monte Carlo simulations

A New Proof of the Lattice Structure of Many-to-Many Pairwise-Stable Matchings

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Journal of the Operations Research Society of China 2014年第3期2卷 369-377页

作者： jian-rong Li School of Mathematics South China Normal UniversityGuangzhou 510631China

This paper studies,under substitutable and cardinal monotone preferences,the lattice structure of the set SePT of many-to-many pairwise-stable *** proves that the selection matchings are increasing functions on *** fact,along with a few auxiliary results,is then used to prove that SePT is a distributive *** contribution of this paper is not new,but the alternative proof is interesting as it avoids the use of abstract lattice theory.

关键词： Pairwise-stable matching Lattice Cardinal monotonicity

Painlevé Property and Complexiton Solutions of a Special Coupled KdV Equation

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Communications in Theoretical Physics 2008年第10期50卷 809-813页

作者： YANG jian-rong MAO Jie-jian Department of Physics Jiangxi Shangrao Normal College Shangrao 334001 China Department of Physics Ningbo University Ningbo 315211 China

A special coupled KdV equation is proved to be the Painleve property by the Kruskal＇s simplification of WTC method. In order to search new exact solutions of the coupled KdV equation, Hirota＇s bilinear direct method and the conjugate complex number method of exponential functions are applied to this system. As a result, new analytical eomplexiton and soliton solutions are obtained synchronously in a physical field. Then their structures, time evolution and interaction properties are further discussed graphically.

关键词： special coupled KdV equation Painleve integrability bilinear method complexiton solution

Soliton Solutions of Coupled KdV System from Hirota's Bilinear Direct Method

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Communications in Theoretical Physics 2008年第1期49卷 22-26页

作者： YANG jian-rong MAO Jie-jian Department of Physics Shangrao Normal College Shangrao 334001 China Department of Physics Ningbo University Ningbo 315211 China

With Hirota＇s bilinear direct method, we study the special coupled KdV system to obtain its new soliton solutions. Then we further discuss soliton evolution, corresponding structures, and interesting interactive phenomena in detail with plot. As a result, we find that after the interaction, the solitons make elastic collision and there are no exchanges of their physical quantities including energy, velocity and shape except the phase shift.

关键词： coupled KdV system Hirota's bilinear method soliton solutions interactive property

Pseudo Almost Periodic Solutions of a Singularly Perturbed Differential Equation with Piecewise Constant Argument

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Acta Mathematica Sinica,English Series 2007年第3期23卷 423-438页

作者： Guo jian LIN rong YUAN Institute of Systems Science Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing 100080 P. R. China School of Mathematical Sciences Beijing Normal University Beijing 100875 P. R. China

Under suitable assumptions, the existence and the uniqueness of the pseudo-almost periodic solution for a singularly perturbed differential equation with piecewise constant argument are obtained. In addition, the stab... 详细信息

关键词： Singular perturbation Pseudo-almost periodic solutions Pseudo-almost periodic sequences Piecewise constant argument

Recovery of greenhouse gas as cleaner fossil fuel contributes to carbon neutrality

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Green Energy & Environment 2023年第2期8卷 351-353页

作者： Xin Zhang jian-rong Li Beijing Key Laboratory for Green Catalysis and Separation and Department of Chemical Engineering Faculty of Environment and LifeBeijing University of TechnologyBeijing 100124China

Under the context of carbon neutrality of China,it is urgent to shift our energy supply towards cleaner fuels as well as to reduce the greenhouse gas ***,coal is the main fossil fuel energy source of *** country is striving hard to replace it with methane,a cleaner fossil *** China has rich geological resources of methane as coal bed methane(CBM)reserves,it is quite challenging to utilize them due to low *** CBM is however mainly emitted directly to atmosphere during coal mining,causing waste of the resource and huge contribution to greenhouse *** recent work by Yang et *** a potential solution to extract low concentration methane selectively from CBM through using MOF materials as *** kind of materials and associated separation technology are promising to reduce greenhouse gas emission and promote the methane production capability,which would contribute to carbon neutrality in dual pathways.

关键词： Carbon neutrality Coal bed methane Metal–organic frameworks Greenhouse gas Fossil fuel

On the Eventual Shadowing Property and Eventually Shadowable Point of Set-valued Dynamical Systems

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Acta Mathematica Sinica,English Series 2022年第6期38卷 1105-1115页

作者： Xue rong XIE jian Dong YIN Department of Mathematics Nanchang UniversityNanchang 330031P.R.China

The authors introduce the concepts of the eventual shadowing property and eventually shadowable point for set-valued dynamical systems and prove that a set-valued dynamical system has the eventual shadowing property if and only if every point in the phase space is eventually shadowable;every chain transitive set-valued dynamical system has either the eventual shadowing property or no eventually shadowable points;and a set-valued dynamical system admits an eventually shadowable point if and only if it admits a minimal eventually shadowable ***,it is proved that a set-valued dynamical system with the eventual shadowing property is chain mixing if and only if it is mixing and if and only if it has the specification property.

关键词： Eventual shadowing property eventually shadowable point set-valued dynamical system specification

Observational signatures of close binaries of supermassive black holes in active galactic nuclei

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Research in Astronomy and Astrophysics 2020年第10期20卷 191-206页

作者： jian-Min Wang Yan-rong Li Key Laboratory of Particle Astrophysics Institute of High Energy PhysicsChinese Academy of SciencesBeijing 100049China School of Astronomy and Space Science University of Chinese Academy of SciencesBeijing 100049China National Astronomical Observatories Chinese Academy of SciencesBeijing 100101China

Inspired by the General Relativity for many decades,experimental physicists and astronomers have a solid dream to detect gravitational waves(GWs)from mergers of black holes,which came true until the excellent performance of the Laser Interferometer Gravitational-Wave Observatory(LIGO)at hundreds ***-Hz GWs are expected to be radiated by close-binaries of supermassive black holes(CB-SMBHs;defined as those with separations less than^0.1 pc)formed during galaxy mergers and detected through the Pulsar Timing Array(PTA)*** of the writing,there remains no nano-Hz GWs *** for CB-SMBHs is also observationally elusive though there exist a number of possible *** this review,we focus on observational signatures of CB-SMBHs from theoretic expectations,simulations and *** signatures appear in energy distributions of multiwavelength continuum,long term variations of continuum,jet morphology,reverberation delay maps and spectroastrometry of broad emission lines,AGN type transitions between type-1 and type-2(changing-look),and gaseous dynamics of circumbinary disks,*** hundred-Hz GWs from stellar mass black hole binaries,the waveform chirping of nano-Hz GWs is too slow to detect in a reasonable human *** have to resort to electromagnetic observations to measure orbital parameters of CB-SMBHs to test nano-Hz GW *** mapping is a powerful tool for probing kinematics and geometry of ionized gas in the gravitational well of SMBHs(single or binary)and therefore provides a potential way to determine orbital parameters of *** particular,a combination of reverberation mapping with spectroastrometry(realized at the Very Large Telescope Interferometer)will further reinforce this *** Atacama Large Millimeter/submillimeter Array(ALMA)and the forthcoming Square Kilometre Array(SKA)are suggested to reveal dynamics of circumbinary disks through molecular emission lines.

关键词： galaxies:active quasars:supermassive black holes gravitational waves