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INVESTIGATION　ON　THE　PHASE　DIAGRAM　OF　TERNARY　SYSTEM　LaCl_3-SrCl_2-LiCl

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Chinese Chemical Letters 1996年第5期7卷 483-486页

作者： Chao Gui zheng Yan ke zheng Department of Chemistry Peking University Beijing 100871

Abstract: The phase diagram of ternary system LaCl3 - SrCl2 - LiCl has been investigated by means of DTA. It was found that there were three fields corresponding to primary crystallization of LaCl3, SrCl2 and LiCl respectively, three univeriant curves related to the secondary crystallization, a ternary eutectic E (46.8% LaCl3, 25.4% SrCl, 30.0% LiCl; 469℃) in the system. A ternary reaction occurred in the system:L = LaCl3 + SrCl2 + LiCl

关键词： LaCl3-SrCl2-LiCl SYSTEM TERNARY OF PHASE DIAGRAM INVESTIGATION

Dynamics of rotator chain with dissipative boundary

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Frontiers of physics 2014年第4期9卷 511-518页

作者： Pu ke Zhi-Gang zheng Department of Physics and the Beijing Hong Kong Singapore Joint Center for Nonlinear and Complex Systems (Beijing) Beijing Normal University Beijing 100875 China

We study the deternfinistic dynanfics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical sinmlation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked wariance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited.

关键词： rotator chain energy conduction

Weight Choosability of Graphs with Maximum Degree 4

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Acta Mathematica Sinica,English Series 2020年第6期36卷 723-732页

作者： You LU Chong LI zheng ke MIAO School of Mathematics and Statistics and Xi'an-Budapest Joint Research Center for Combinatorics Northwestern Polytechnical UniversityXi'an710129P.R.China Department of Mathematics West Virginia UniversityMorgantownWV 26506USA Research Institute of Mathematical Science and School of Mathematics and Statistics Jiangsu Normal UniversityXuzhou221116P.R.China

Let k be a positive integer.A graph G is k-weight choosable if,for any assignment L(e)of k real numbers to each e∈E(G),there is a mapping f:E(G)→R such that f(uv)∈L(uv)and∑e∈∂(u)^f(e)≠∑e∈∂(u)^f(e)for each uv∈E(G),where?(v)is the set of edges incident with *** a strengthening of the famous 1-2-3-conjecture,Bartnicki,Grytczuk and Niwcyk[Weight choosability of *** Theory,60,242–256(2009)]conjecture that every graph without isolated edge is 3-weight *** conjecture is wildly open and it is even unknown whether there is a constant k such that every graph without isolated edge is k-weight *** this paper,we show that every connected graph of maximum degree 4 is 4-weight choosable.

关键词： 1-2-3 conjecture weighting weight choosability Combinatorial Nullstellensatz

A new dihydrobenzofuran lignanoside from Selaginella moellendorffii Hieron

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Chinese Chemical Letters 2008年第1期19卷 79-81页

作者： Xiao ke zheng ke ke Li Yan Zhi Wang Wei Sheng Feng Henan College of Traditional Chinese Medicine Zhengzhou 450008 China

A new lignanoside, （7R,8S）-7,8-dihydro-7-（4-hydroxy-3,5-dimethoxyphenyl）-1＇-formyl-3＇-y-methoxyl-8-hydroxymethylbenzo- furan-4-O-β-D-glucopyranoside （moellenoside A）, was isolated from Selaginella moellendorffii Hieron. Its structure was determined by spectroscopic evidences. 2007 Wei Sheng Feng. Published by Elsevier B.V. on behalf of Chinese Chemical Society. All rights reserved.

关键词： Selaginella moellendorffii Hieron Lignanoside Moellenoside A

Emerging deep learning methods for single-cell RNA-seq data analysis

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Quantitative Biology 2019年第4期7卷 247-254页

作者： Jie zheng ke Wang School of Information Science and Technology ShanghaiTech UniversityShanghai 201210China

Deep learning is making major breakthrough in several areas of *** that this will occur soon for the single-cell RNA-seq data analysis,we review newly published deep learning methods that help tackle computational *** are found to be the dominant ***,methods based on deep generative models such as generative adversarial networks(GANs)are also emerging in this area.

关键词： single-cell RNA-seq deep learning autoencoder

Nonlinear Discrete Inequality in Two Variables with Delay and Its Application

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Acta Mathematicae Applicatae Sinica 2014年第2期30卷 389-400页

作者： Hong WANG ke-long zheng Chun-xiang GUO School of Science Southwest University of Science and Technology School of Business Sichuan University

Delay discrete integral inequalities with n nonlinear terms in two variables are discussed, which generalize some existing results and can be used as powerful tools in the analysis of certain partial difference equati... 详细信息

关键词： discrete inequality nonlinear delay boundedness

Mathematical analysis of SOFC based on co-ionic conducting electrolyte

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Acta Mechanica Sinica 2013年第3期29卷 388-394页

作者： ke-Qing zheng Meng Ni Qiong Sun Li-Yin Shen Building Energy Research Group Department of Building and Real Estate The Hong Kong Polytechnic University

In co-ionic conducting solid oxide fuel cell （SOFC）, both oxygen ion （O2） and proton （H＋） can transport through the electrolyte, generating steam in both the an-ode and cathode. Thus the mass transport phenomenon in the electrodes is quite different from that in conventional SOFC with oxygen ion conducting electrolyte （O-SOFC） or with proton conducting electrolyte （H-SOFC）. The generation of steam in both electrodes also affects the concentration over-potential loss and further the SOFC performance. However, no detailed modeling study on SOFCs with co-ionic electrolyte has been reported yet. In this paper, a new mathematical model for SOFC based on co-ionic electrolyte was developed to predict its actual performance considering three major kinds of overpotentials. Ohm＇s law and the Butler-Volmer formula were used to model the ion conduction and electrochemical reactions, respectively. The dusty gas model （DGM） was employed to simulate the mass transport processes in the porous electrodes. Parametric simulations were performed to investigate the effects of proton transfer number （tH） and current density （jtotal） on the cell performance. It is interesting to find that the co-ionic conducting SOFC could perform better than O-SOFC and H-SOFC by choosing an appropriate proton transfer number. In addition, the co-ionic SOFC shows smaller difference between the anode and cathode concentration overpotentials than O-SOFC and H-SOFC at certain t H values. The results could help material selection for enhancing SOFC performance.

关键词： Co-ionic electrolyte Proton transport number Concentration overpotential Mass transport Model

Upper Bounds on List Star Chromatic Index of Sparse Graphs

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Acta Mathematica Sinica,English Series 2020年第1期36卷 1-12页

作者： Jia Ao LI Katie HORACEK Rong LUO zheng ke MIAO School of Mathematical Sciences and LPMC Nankai UniversityTianjin 300071P.R.China Department of Mathematics Frostburg State UniversityFrostburgMD 21532USA Department of Mathematics West Virginia UniversityMorgantownWV 26506USA School of Mathematics and Statistics Jiangsu Normal UniversityXuzhou 221116P.R.China

A star k-edge-coloring is a proper k-edge-coloring such that every connected bicolored subgraph is a path of length at most *** star chromatic indexχ'_(st)(G)of a graph G is the smallest integer k such that G has a star *** list star chromatic index ch'st(G)is defined *** star edge coloring problem is known to be NP-complete,and it is even hard to obtain tight upper bound as it is unknown whether the star chromatic index for complete graph is linear or super *** this paper,we study,in contrast,the best linear upper bound for sparse graph *** show that for everyε>0 there exists a constant c(ε)such that if mad(G)<8/3-ε,then■and the coefficient 3/2 ofΔis the best *** proof applies a newly developed coloring extension method by assigning color sets with different sizes.

关键词： Star edge coloring list edge coloring maximum average degree

Generalized normal matrices

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Applied Mathematics(A Journal of Chinese Universities) 2008年第2期23卷 240-244页

作者： MA Hong-ping MIAO zheng-ke LI Jiong-sheng School of Mathematical Sciences Xuzhou Normal University Xuzhou 221116 China Department of Mathematics University of Science and Technology of China Hefei 230026 China

A matrix A ∈ Mn（C） is called generalized normal provided that there is a positive definite Hermite matrix H such that HAH is normal. In this paper, these matrices are investigated and their canonical form, invarian... 详细信息

关键词： generalized normal matrix congruence canonical form invariant.