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Monge–Ampère Type Equations on Almost Hermitian Manifolds

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Acta Mathematica Sinica,English Series 2023年第5期39卷 749-772页

作者： jiao Gen zhang School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026P.R.China

In this paper we consider the Monge–Ampère type equations on compact almost Hermitian *** derive C∞a priori estimates under the existence of an admissible ***,we obtain an existence result if there exists an admiss... 详细信息

关键词： Monge-Ampere type equations almost Hermitian manifold a priori estimates subsolution

Method of reverberation ray matrix for static analysis of planar framed structures composed of anisotropic Timoshenko beam members

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Applied Mathematics and Mechanics(English Edition) 2015年第2期36卷 233-242页

作者： jiao zhang Guohua NIE School of Aerospace Engineering and Applied Mechanics Tongji University

Based on the method of reverberation ray matrix（MRRM）, a reverberation matrix for planar framed structures composed of anisotropic Timoshenko（T） beam members containing completely hinged joints is developed for static analysis of such *** the MRRM for dynamic analysis, amplitudes of arriving and departing waves for joints are chosen as unknown quantities. However, for the present case of static analysis, displacements and rotational angles at the ends of each beam member are directly considered as unknown quantities. The expressions for stiffness matrices for anisotropic beam members are developed. A corresponding reverberation matrix is derived analytically for exact and unified determination on the displacements and internal forces at both ends of each member and arbitrary cross sectional locations in the structure. Numerical examples are given and compared with the finite element method（FEM） results to validate the present model. The characteristic parameter analysis is performed to demonstrate accuracy of the present model with the T beam theory in contrast with errors in the usual model based on the Euler-Bernoulli（EB） beam theory. The resulting reverberation matrix can be used for exact calculation of anisotropic framed structures as well as for parameter analysis of geometrical and material properties of the framed structures.

关键词： planar framed structure anisotropic Timenshenko(T) beam stiffness matrix method of reverberation ray matrix(MRRM) static analysis

New insight into adsorption characteristics and mechanisms of the biosorbent from waste activated sludge for heavy metals

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Journal of Environmental Sciences 2016年第7期28卷 248-256页

作者： Yun Zhou Zhiqiang zhang jiao zhang Siqing Xia Key Laboratory of Yangtze River Water Environment Ministry of Education College of Environmental Science and Engineering Tongji University State Key Laboratory of Pollution Control and Resource Reuse College of Environmental Science and Engineering Tongji University Swette Center for Environmental Biotechnology Arizona State University School of Civil Engineering and Transportation Shanghai Technical College of Urban Management

The adsorption characteristics and mechanisms of the biosorbent from waste activated sludge were investigated by adsorbing Pb2＋and Zn2＋in aqueous single-metal solutions. A p H value of the metal solutions at 6.0 was beneficial to the high adsorption quantity of the biosorbent. The optimal mass ratio of the biosorbent to metal ions was found to be 2. A higher adsorption quantity of the biosorbent was achieved by keeping the reaction temperature below 55°C. Response surface methodology was applied to optimize the biosorption processes, and the developed mathematical equations showed high determination coefficients（above 0.99 for both metal ions） and insignificant lack of fit（p = 0.0838 and 0.0782 for Pb2＋and Zn2＋, respectively）. Atomic force microscopy analyses suggested that the metal elements were adsorbed onto the biosorbent surface via electrostatic interaction. X-ray photoelectron spectroscopy analyses indicated the presence of complexation（between –NH2,-CN and metal ions） and ion-exchange（between –COOH and metal ions）. The adsorption mechanisms could be the combined action of electrostatic interaction, complexation and ion-exchange between functional groups and metal ions.

关键词： Waste activated sludge Biosorbent Adsorption Metal ions Response surface methodology(RSM)

Radiative Dileptonic Decays B_(s)→l^(+)l^(-)γ in the TC2 Model

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Chinese Physics Letters 2012年第7期29卷 51-55页

作者： zhang jiao YUE Chong-Xing Department of Physics Liaoning Normal UniversityDalian 116029

We investigate the radiative dileptonic decays B_(s)→l^(+)l^(-)γ (l =e,μ and T) in the framework of the topcolor-assisted technicolor (TC2) *** contributions of the new particles predicted by this model to the branching ratios and the forward-backward asymmetry (AFB) of these decays are *** is found that the values of their branching ratios are greater than the standard model (SM) predictions by several times up to one order of magnitude and │AFB│ can also be enhanced by several times in a wide range of the parameter space.

关键词： space branching decay

Classification on irreducible Whittaker modules over quantum group Uq(sl3,∧)

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Frontiers of Mathematics in China 2021年第4期16卷 1089-1097页

作者： Limeng XIA Xiangqian GUO jiao zhang Institute of Applied System Analysis Jiangsu UniversityZhenjiang 212013China School of Mathematics and Statistics Zhengzhou UniversityZhengzhou 450001China Department of Mathematics Shanghai UniversityShanghai 200444China

We define the Whittaker modules over the simply-connected quantum group U_(q)(sl3,∧),where A is the weight lattice of Lie algebra *** we completely classify all those simple ***,a simple Whittaker module over U_(q)(sl3,∧)is either a highest weight module,or determined by two parameters z∈C andγ∈C^(*)(up to a Hopf automorphism).

关键词： Quantum group simple Whittaker module Whittaker vector

Plume:Lightweight and Generalized Congestion Control with Deep Reinforcement Learning

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China Communications 2022年第12期19卷 101-117页

作者： Dehui Wei jiao zhang Xuan zhang Chengyuan Huang State Key Laboratory of Networking and Switching Technology BUPT 100876China

Congestion control(CC)is always an important issue in the field of networking,and the enthusiasm for its research has never diminished in both academia and *** current years,due to the rapid development of machine learning(ML),the combination of reinforcement learning(RL)and CC has a striking ***,These complicated schemes lack generalization and are too heavyweight in storage and computing to be directly implemented in mobile *** order to address these problems,we propose Plume,a high-performance,lightweight and generalized RL-CC *** proposes a lightweight framework to reduce the overheads while preserving the original ***,Plume innovatively modifies the framework parameters of the reward function during the retraining process,so that the algorithm can be applied to a variety of *** results show that Plume can retain almost all the performance of the original model but the size and decision latency can be reduced by more than 50%and 20%,***,Plume has better performances in some special scenes.

关键词： congestion control deep reinforcement learning lightweight generalization

Accelerating materials discovery using machine learning

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Journal of Materials Science & Technology 2021年第20期79卷 178-190页

作者： Yongfei Juan Yongbing Dai Yang Yang jiao zhang Shanghai Key Lab of Advanced High-temperature Materials and Precision Forming Shanghai Jiao Tong UniversityShanghai200240China Department of Computer Science and Engineering Shanghai Jiao Tong UniversityShanghai200240China

The discovery of new materials is one of the driving forces to promote the development of modern society and technology innovation,the traditional materials research mainly depended on the trial-and-error method,which is time-consuming and ***,machine learning(ML)methods have made great progress in the researches of materials science with the arrival of the big-data era,which gives a deep revolution in human society and advance science ***,there exist few systematic generalization and summaries about the applications of ML methods in materials *** this review,we first provide a brief account of the progress of researches on materials science with ML employed,the main ideas and basic procedures of this method are emphatically *** the algorithms of ML which were frequently used in the researches of materials science are classified and ***,the recent meaningful applications of ML in metal materials,battery materials,photovoltaic materials and metallic glass are reviewed.

关键词： Materials discovery Materials design Materials properties prediction Machine learning Data-driven

The Polynomial Modules over Quantum Group U_(q)(sl3)

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Algebra Colloquium 2022年第4期29卷 663-668页

作者： Limeng Xia Qianqian Cai jiao zhang Institute of Applied System Analysis Jiangsu University ZhenjiangJiangsu 212013China Department of Mathematics Shanghai UniversityShanghai 200444China

Let g be a finite dimensional complex simple Lie algebra with Cartan subalgebraη.Then C[η]has a g-module structure if and only if g is of type A or of type C;this is called the polynomial module of rank one,In the quantum version,the rank one polynomial modules over U_(q)(sl_(2))have been *** this paper,we prove that the quantum group U_(q)(sl_(3))has no rank one polynomial module.

关键词： quantum group polynomial module rank one

Factors influencing water quality indices in a typical urban river originated with reclaimed water

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Frontiers of Environmental Science & Engineering 2017年第4期11卷 73-82页

作者： jiao zhang Zhen Wei Haifeng Jia Xia Huang State Key Joint Laboratory of Environment Simulation and Pollution Control School of Environment Tsinghua University Beijing 100084 China

The water quality in a typical urban river segment originated with reclaimed water in Beijing was monitored for two years to investigate the evolution of water quality along the rivcr, and statistical analysis was applied to determine factors influencing water quality of such river recharged by reclaimed water. It was found that no significant change in pollutant concentrations （including COD, NH4＋-N, TN and TP） was observed during this time, and their average values were close to those of the original reclaimed water. However, turbidity and algal contents fluctuated temporally in the direction of river flow. Statistical analysis showed that turbidity was strongly positively correlated with algal contents for flow rate 〈 0.1 m.s-1. whereas it was strongly positively correlated with both algalcontents and TOC for flow rate 〉 0. 1m. s-1. It was observed that diatom was the absolute predominant phyla with Melosira as the major species. In terms of algal bloom control, the specific growth rate of algae was strongly correlated to temperature, and was influenced by flow rate as well. Compared with two other rivers originated with reclaimed water and one originated with natural water, the Shannon Wiener index in the objective river was the lowest, with values between 0.7 and 1.6, indicating a high risk for algal bloom. Statistics showed that Shannon Wiener index was strongly negatively correlated to nutrient salts and cations.

关键词： Reclaimed water Urban river Turbidity Algae Flow rate