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Lie bialgebra structure on cyclic cohomology of Fukaya categories

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Frontiers of Mathematics in China 2015年第5期10卷 1057-1085页

作者： xiaojun chen Hai-Long HER Shanzhong SUN Department of Mathematics Sichuan University Chengdu 610064 China School of Mathematical Sciences Nanjing Normal University Nanjing 210023 China Department of Mathematics Capital Normal University Beijing 100048 China Beijing Center for Mathematics and Information Interdisciplinary Sciences Beijing 100048China

Let M be an exact symplectic manifold with contact type boundary such that cl（M） = O. Motivated by noncommutative symplectic geometry and string topology, we show that the cyclic cohomology of the Fukaya category of... 详细信息

关键词： Fukaya category cyclic cohomology Lie bialgebra

SNIG PROPERTY OF MATRIX LOW-RANK FACTORIZATION MODEL

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Journal of Computational Mathematics 2018年第3期36卷 374-390页

作者： Hong Wang Xin Liu xiaojun chen Yaxiang Yuan Department of Applied Mathematics The Hong Kong Polytechnic University Hong Kong China State Key Laboratory of Scientific and Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China State Key Laboratory of Scientific and Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

Recently, the matrix factorization model attracts increasing attentions in handling large-scale rank minimization problems, which is essentially a nonconvex minimization problem. Specifically, it is a quadratic least squares problem and consequently a quartic polynomial optimization problem. In this paper, we introduce a concept of the SNIG （＂Second-order Necessary optimality Implies Global optimality＂） condition which stands for the property that any second-order stationary point of the matrix factorization model must be a global minimizer. Some scenarios under which the SNIG condition holds are presented. Furthermore, we illustrate by an example when the SNIG condition may fail.

关键词： Low rank factorization Nonconvex optimization Second-order optimality condition Global minimizer

REGULARIZED TWO-STAGE STOCHASTIC VARIATIONAL INEQUALITIES FOR COURNOT-NASH EQUILIBRIUM UNDER UNCERTAINTY

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Journal of Computational Mathematics 2019年第6期37卷 813-842页

作者： Jie Jiang Yun Shi Xiaozhou Wang xiaojun chen Department of Applied Mathematics The Hong Kong Polytechnic UniversityHong KongChina

A convex two-stage non-cooperative multi-agent game under uncertainty is formula ted as a two-stage stochastic variational inequality(SVI).Under standard assumptions,we provide sufficient conditions for the existence of solutions of the two-stage SVI and propose a regularized sample average approximation method for solving *** prove the convergence of the method as the regularization parameter tends to zero and the sample size tends to ***,our approach is applied to a two-stage stochastic production and supply planning problem with homogeneous commodity in an oligopolistic *** results based on historical data in crude oil market are presented to demonstrate the effectiveness of the two-stage SVI in describing the market share of oil producing agents.

关键词： Two-stage stochastic variational inequalities Cournot-Nash equilibrium Regularized method Progressive hedging method Uncertainty Oil market share.

Competition of surface reactions of tritium release from irradiated Li_4SiO_4 pebbles

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Science China Chemistry 2015年第5期58卷 839-844页

作者： Chunmei Kang chengjian Xiao xiaojun chen Shuming Peng Xiaolin Wang Science and Technology Information Center China Academy of Engineering Physics Institute of Nuclear Physics and Chemistry China Academy of Engineering Physics China Academy of Engineering Physics

Out-of-pile tritium release experiments were performed on Li4 Si O4 pebbles produced from lithium hydroxide under various compositions of sweep gas(He, 1.1% H2/He) and environmental moisture conditions. The experimental results indicate that tritium gas can be released directly from "dry" Li4 Si O4 under pure He gas. This phenomenon did not happen on "wet" samples, which means that the chemical form of released tritium is sensitive to moisture. Adding H2 to sweep gas may increase the overall desorption rate of tritium gas through H2 isotope exchange reaction, which occurs at a lower temperature than those of directly released tritium gas. Yet, the threshold of the H2 isotope exchange reaction is higher than the desorption reaction of tritiated water. Consequently, the effect of H2 isotope exchange reaction would reduce significantly on water adsorbed Li4 Si O4 samples.

关键词： Li4SiO4 surface reaction tritium H2 isotope exchange reaction

Preparation of the glucose sensor based on three-dimensional ordered macroporous gold film and room temperature ionic liquid

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Science China Chemistry 2009年第11期52卷 1999-2005页

作者： chen xiaojun XUAN Jie JIANG LiPing ZHU JunJie Key Lab of Analytical Chemistry for Life Science(MOE) School of Chemistry and Chemical EngineeringNanjing UniversityNanjing 210093China College of Sciences Nanjing University of TechnologyNanjing 210009China

A novel type of glucose sensor was fabricated based on a glucose oxidase(GOD)-N,N-dimethtylformamide(DMF)-[BMIm][BF4] composites modified three-dimensional ordered macroporous(3DOM) gold film *** immobilized GOD exhibits a pair of well-defined reversible peaks in 50 mM pH 7.0 phosphate buffer solutions(PBS),which could be attributed to the redox of flavin adenine dinucleotide(FAD) in *** research results show that ionic liquid([BMIm][BF4]),DMF and 3DOM gold film are crucial for GOD to exhibit a pair of stable and reversible *** is believed that the large active area of 3DOM gold film can increase the amount of immobilized ***,the application of IL enhances the stability of GOD and facilitates the electron transfer between GOD and the *** synergetic effect of DMF can help the GOD to maintain its bioactivity *** immobilized on the electrode exhibits the favorable electrocatalytic property to glucose,and the prepared sensor has a linear range from 10 to 125 nM with a detection limit of 3.3 nM at a signal-to-noise ratio of 3σ.The apparent Km(Michaelis-Menten constant) for the enzymatic reaction is 0.018 mM.

关键词： ionic liquid glucose oxidase three-dimensional ordered macroporous gold film direct electrochemistry electrochemical catalysis

Deep-Red to Near-Infrared Carbon Dots in Biosensing and Bio-medical Applications

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Chinese Journal of Chemistry 2023年第18期41卷 2354-2370页

作者： Shan Huang Li Yan xiaojun chen Jun-Jie Zhu Schoolof Chemistry and Molecular Engineering Nanjing TechUniversityNanjingJiangsu 211816China Schoolof Chemistry and chemical Engineering Nanjing UniversityNanjingJiangsu 210023China

Comprehensive Summary,With the rapid development in the field of biomedical diagnosis and treatment,carbon dots(CDs)with favorable photostability,biocompatibility and high quantum yields for deep-red to near-infrared emission have attracted the attention of a majority of *** enlarging the sp2 domain in the core of CDs,doping them with heteroatoms like nitrogen and sulfur,applying hydrothermal,electrochemical,or microwave-assisted techniques,CDs can be made with the aforementioned photoemission *** view of these excellent properties,CDs are flourishing in biosensing and biomedical applications,so that a thorough description and discussion of this topic is beneficial to capture the up-to-date progress of CDs in this field,providing suggestions and considerations for readers.

关键词： Carbon dots Biosensing Biomedical Biotechnology Cancer therapy Antibacterial

Studies on the edwardsiellosis and characterization of pathogenic bacteria from diseased flounder (Paralichthys olivaceus L.) and turbot (Scophthalmus maximus L.)

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Acta Oceanologica Sinica 2006年第3期25卷 138-147页

作者： FANG Hai ZHANG xiaojun chen Cuizhen JIN Xiaomin WANG Xiuyun Department of Animal Science Hebei Normal University of Science and Technology Qinhuangdao 066600 China

Edwardsiellosis of flounder and turbot occurring in different mariculture farms during 2001～ 2004 was examined, including the conditions of disease occurrence, clinical signs and pathological changes. The results showed that all diseased fishes expressed bacterial septicaemia. A total of 148 strains were identified using a combination of traditional physiological and biochemical tests and partial 16S rRNA gene analysis. In addition, the mole fraction G ＋ C ratio of the DNA of representative strain of isolates and serum homology were detected, and pathogenicity tests of isolates were conducted by experimental infection. The results revealed that 148 strains were identified as E. tarda of genus Edwardsiella, all the isolates are of serologic similarity, and have strong pathogenicity to flounder and turbot.

关键词： flounder (Paralichthys olivaceus L. ) turbot (Scophthalmus maximus L. ) edwardsiellosis pathogenic bacteria

Regularized multiple criteria linear programs for classification

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Science in China(Series F) 2009年第10期52卷 1812-1820页

作者： SHI Yong TIAN YingJie chen xiaojun ZHANG Peng Research Center on Fictitious Economy & Data Science Chinese Academy of Sciences Beijing 100190 China Department of Applied Mathematics The Hong Kong Polytechnic University Kowloon Hong Kong School of Information Science and Engineering Graduate University of Chinese Academy of Sciences Beijing 100190 China

Although multiple criteria mathematical program （MCMP）, as an alternative method of classification, has been used in various real-life data mining problems, its mathematical structure of solvability is still challengeable. This paper proposes a regularized multiple criteria linear program （RMCLP） for two classes of classification problems. It first adds some regularization terms in the objective function of the known multiple criteria linear program （MCLP） model for possible existence of solution. Then the paper describes the mathematical framework of the solvability. Finally, a series of experimental tests are conducted to illustrate the performance of the proposed RMCLP with the existing methods： MCLP, multiple criteria quadratic program （MCQP）, and support vector machine （SVM）. The results of four publicly available datasets and a real-life credit dataset all show that RMCLP is a competitive method in classification. Furthermore, this paper explores an ordinal RMCLP （ORMCLP） model for ordinal multigroup problems. Comparing ORMCLP with traditional methods such as One-Against-One, One-Against-The rest on large-scale credit card dataset, experimental results show that both ORMCLP and RMCLP perform well.

关键词： multiple criteria mathematical program regularized multiple criteria mathematical program classification data mining

Novel Micromixer with Complex 3D-Shape Inner Units: Design, Simulation and Additive Manufacturing

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Computer Modeling in Engineering & Sciences 2020年第6期123卷 1061-1077页

作者： Di Wang Guangzhao Ye Jingming Mai Xiaomin chen Yongqiang Yang Yang Li xiaojun chen Jie chen School of Mechanical and Automotive Engineering South China University of TechnologyGuangzhou510640China Department of Electrical Engineering and Information Technology Karlsruhe Institute of TechnologyKarlsruhe76131Germany

In this paper,a novel micromixer with complex 3D-shape inner units was put forward and fabricated by metal Additive Manufacturing(AM).The design of the micromixer combined the constraints of selective laser melting technology and the factors to improve mixing ***-Dushman reaction system and Compute Fluid Design(CFD)simulation were conducted to investigate the performance and the mechanism of this novel micromixer to improve mixing *** research found that the best mixing efficiency of this novel micromixer could be gained when the inner units divided fluid into five pieces with a uniform *** with a conventional micromixer without obstacle in the channel,the micromixer designed in this research achieved higher mixing efficiency and reduce the pressure drop by 10.34%.The mixing behaviour in this novel micromixer was discussed,which mainly contains two types:collisions and *** collisions,the fluid micro masses would hit each other directly,which broke the boundaries of micro masses and promoted the interchange of species in the whole flow *** swirls,the fluid micro masses were drawn into thin and long slices,which increased the size of the contact area and enhanced molecule ***,the application scheme of this novel micromixer was briefly discussed.

关键词： Additive manufacturing(AM) micromixer computational fluid dynamics(CFD) selective laser melting(SLM)