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A New Type of Conserved Quantity of Mei Symmetry for Lagrange Systems

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Communications in Theoretical Physics 2007年第5X期48卷 799-800页

作者： DING Ning fang jian-Hui wang Peng ZHANG Xiao-Ni College of Physics Science and Technology China University of Petroleum Dongying 257061 China

A new type of conserved quantity, which is induced from the Mei symmetry of Lagrange systems, is studied. The conditions for that the new type of conserved quantity exists and the form of the new type of conserved quantity are obtained. An illustrated example is given. The Noether conserved quantity induced from the Mei symmetry of Lagrange systems is a special case of the new type of conserved quantity given in this paper.

关键词： Mei symmetry new type of conserved quantity Lagrange system

Perturbation to Lie Symmetry and Lutzky Adiabatic Invariants for Lagrange Systems

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Communications in Theoretical Physics 2008年第1期49卷 57-60页

作者： DING Ning fang jian-Hui wang Peng ZHANG Xiao-Ni College of Physics Science and Technology China University of Petroleum Dongying 2570617 China

Based on the concept of adiabatic invariant, perturbation to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are studied by using different methods from those of previous works. Exact invariants induced from Lie symmetry of the system without perturbation are given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic invariants of the system subject to perturbation are obtained.

关键词： symmetry perturbation Lutzky adiabatic invariant Lagrange system

Noether-Lie Symmetry of Generalized Classical Mechanical Systems

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Communications in Theoretical Physics 2008年第2期49卷 305-307页

作者： ZHANG Xiao-Ni fang jian-Hui wang Peng DING Ning College of Physics Science and Technology China University of Petroleum Dongying 257061. China

In this paper, the Noether Lie symmetry and conserved quantities of generalized classical mechanical system are studied. The definition and the criterion of the Noether Lie symmetry for the system under the general infinitesimal transformations of groups are given. The Noether conserved quantity and the Hojman conserved quantity deduced from the Noether Lie symmetry are obtained. An example is given to illustrate the application of the results.

关键词： generalized classical mechanical system Noether-Lie symmetry Noether conserved quantity Hojman conserved quantity

Performance of biological phosphorus removal and characteristics of microbial community in the oxic-settling-anaerobic process by FISH analysis

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2008年第7期9卷 1004-1010页

作者： jian-fang wang Qing-liang ZHAO Wen-biao JIN Shi-jie YOU Jin-na ZHANG School of Municipal and Environmental Engineering Harbin Institute of Technology Harbin 150090 China Department of Urban and Civil Engineering Harbin Institute of Technology Shenzhen Graduate School Shenzhen 518055 China

Performance of biological phosphorus removal in the oxic-settling-anaerobic(OSA) process was investigated. Cell staining and fluorescent in situ hybridization(FISH) were used to analyze characteristics and microbial community of sludge. Experimental results showed that phosphorus removal efficiency was near 60% and the amount of biological phosphorus accumulation in aerobic sludge of the OSA system was up to 26.9 mg/g. Biological phosphorus removal efficiency was partially inhibited by carbon sources in the continuous OSA system. Contrasted to the OSA system,biological phosphorus removal efficiency was enhanced by 14% and the average total phosphorus(TP) contents of aerobic sludge were increased by 0.36 mg/g when sufficient carbon sources were supplied in batch experiments. Staining methods indicated that about 35% of microorganisms had typical characteristics of phosphorus accumulating organisms(PAOs) . FISH analysis demonstrated that PAOMIX-binding bacteria were predominant microbial communities in the OSA system,which accounted for around 28% of total bacteria.

关键词： Excess sludge reduction Biological phosphorus removal Phosphate accumulating organisms (PAOs) DAPI(4' 6'-diamidino-2-phenyl indol dihydrochloride) Fluorescent in situ hybridization (FISH)

Mechanism of apoptosis of human osteosarcoma M-G63 induced by arsenic trioxide

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Journal of Central South University of Technology 2005年第Z1期12卷 317-321页

作者： XIAO Tao LI Kang-hua fang jian-zhen wang Wan-chun LI Gui-yuan Cancer Research Institute Xiangya School of MedicineCentral South University Changsha 410078 China Department of Orthopaedics the Second Xiangya Hospital Central South University Changsha 410011 China Department of Orthopaedics Xiangya Hospital Central South University Changsha 410008 China Department of Central Laboratory the Second Xiangya Hospital Central South University Changsha 410011 China Department of Orthopaedics the Second Xiangya Hospital Central South University Changsha 410011 China Cancer Research InstituteXiangya School of MedicineCentral South University Changsha 410078 China

Objective To observe the apoptosis of osteosarcoma MG-63 cells induced by As2O3 and to explore its possible mechanisms. Methods The flowcytometric analysis and transmission electronmicroscope were performed to investigate the inducing apoptosis and inhibitative of As2O3 on osteosarcoma MG-63 cells. In order to study mechanism of apoptosis in MG-63 cells treated with As2 O3, microarray was performed. The down-regulated gene was confirmed by RT-PCR, Northern-blotting. Results After treated with As2O3, hypodiploid peak before G0/G1 phase was observed in MG-63 cells through FCM analysis. Loss of microvilli, condensation and fragmentation of nuclear chromatin, condensation of cytoplasmic organelles, dilatation of the endoplasmic reticulum shrinkage of cells and alterations in cell membranes and apoptosis bodies which were observed in MG-63 cells treated with As2O3 by transmission electronmicroscope. The results of microarray show that As2 O3 induced MG-63 cell apoptosis involves down-regulation of IEX-1 and the down-regulated gene is confirmed by RT-PCR and *** The results show that As2 O3 selectively inhibits growth of the solid tumor MG-63 cells by triggering apoptosis and indicates MG-63 induced by As2O3 cell apoptosis may through the IEX-1 pathway.

关键词： arsenic trioxide osteosarcorna MG-63 apoptosis IEX-1

Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems

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Communications in Theoretical Physics 2007年第7期48卷 19-22页

作者： DING Ning fang jian-Hui wang Peng ZHANG Xiao-Ni College of Physics Science and Technology,China University of Petroleum,Dongying 257061,China College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Based on the concept of adiabatic invariant,the perturbation to the Lie symmetry and adiabatic invariantsfor general holonomic mechanical systems are *** exact invariants induced directly from the Lie symmetryof the system without perturbation are *** perturbation to the Lie symmetry is discussed and the adiabaticinvariants that have the different form from that in[***.55(2006)3236(in Chinese)]of the perturbedsystem,are obtained.

关键词： Lie symmetry perturbation adiabatic invariant general holonomic mechanical’system

Enumeration of Maximum Acyclic Hypergraphs

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 215-218页

作者： jian-fang wang, Hai-zhu LiInstitute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China Institute of Applied Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China

Acyclic hypergraphs are analogues of forests in graphs. They are very useful in the design of databases. In this article, the maximum size of an acyclic hypergraph is determined and the number of maximum γ-uniform ac... 详细信息

关键词： Hypergraph Acyclic hypergraph Enumeration formula

The choice of speed and clearance for RAS on 3D method

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Journal of Marine Science and Application 2003年第2期2卷 31-39页

作者： jian-fang wang Ji-de Li and Xin-gong Cai School of Shipbuilding Engineering Harbin Engineering University Harbin China

In this paper, a 3D source distribution technique is used to calculate the coupled motions between two ships which advance in the wave with the same speed. The numerical results of coupled motions for a frigate and a supply ship have a good agreement with the experimental results. Based on the 3D coupled motions of two ships, a spectral analysis is employed to clearly observe the effect of speed, clearance and wave heading on the significant relative motion amplitude (SRMA) of two ships. The method presented in this paper will be helpful to select suitable clearance, speed and wave heading for underway replenishment at sea(RAS).

关键词： spectral analysis significant relative motion amplitude replenishment at sea

Inexact proximal gradient algorithm with random reshuffling for nonsmooth optimization

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Science China(Information Sciences) 2025年第1期68卷 219-237页

作者： Xia jianG Yanyan fang Xianlin ZENG jian SUN Jie CHEN National Key Lab of Autonomous Intelligent Unmanned Systems School of AutomationBeijing Institute of Technology Beijing Institute of Technology Chongqing Innovation Center School of Electronic and Information Engineering Tongji University

Proximal gradient algorithms are popularly implemented to achieve convex optimization with nonsmooth regularization. Obtaining the exact solution of the proximal operator for nonsmooth regularization is challenging because errors exist in the computation of the gradient; consequently, the design and application of inexact proximal gradient algorithms have attracted considerable attention from researchers. This paper proposes computationally efficient basic and inexact proximal gradient descent algorithms with random reshuffling. The proposed stochastic algorithms take randomly reshuffled data to perform successive gradient descents and implement only one proximal operator after all data pass through. We prove the convergence results of the proposed proximal gradient algorithms under the sampling-without-replacement reshuffling *** computational errors exist in gradients and proximal operations, the proposed inexact proximal gradient algorithms can converge to an optimal solution neighborhood. Finally, we apply the proposed algorithms to compressed sensing and compare their efficiency with some popular algorithms.

关键词： proximal operator random reshuffling inexact computation compressed sensing nonsmooth optimization