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Large Deviations in Generalized Random Graphs with Node Weights

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Acta Mathematica Sinica,English Series 2018年第10期34卷 1626-1634页

作者： Qun LIU Zhi shan dong Mathematics School and Institute of Jilin University

Generalized random graphs are considered where the presence or absence of an edge de- pends on the weights of its nodes. Our main interest is to investigate large deviations for the number of edges per node in such a generalized random graph, where the node weights are deterministic under some regularity conditions, as well as chosen i.i.d, from a finite set with positive components. When the node weights are random variables, obstacles arise because the independence among edges no longer exists, our main tools are some results of large deviations for mixtures. After calculating, our results show that the corresponding rate functions for the deterministic case and the random case are very different.

关键词： Large deviations mixture generalized random graphs

Mitochondrial RNA editing sites affect the phylogenetic reconstruction of gymnosperms

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Plant Diversity 2023年第4期45卷 485-489页

作者： shan-shan dong Xu-Ping Zhou Tao Peng Yang Liu Laboratory of Southern Subtropical Plant Diversity Fairy Lake Botanical GardenShenzhen&Chinese Academy of SciencesShenzhen 518004GuangdongChina School of Life Sciences Guizhou Normal UniversityGuiyang 550001GuizhouChina State Key Laboratory of Agricultural Genomics BGI-ShenzhenShenzhen 518083GuangdongChina

RNA editing is a post-transcriptional process that alters the genetic information of mRNAs,so that the translated proteins deviate from those predicted by the genomic DNA *** editing occurs in a wide range of eukaryotes,including protists,multicellular animals,and land plants(Gray,2012;Ichinose and Sugita,2016).RNA editing in animals,dominated by A-to-I synonymous editing with low editing efficiency(20e30%),might play important roles in the regulation of gene expression(Wang et al.,2013).In contrast,RNA editing in plant organelles is usually nonsynonymous,affecting mostly the 2nd and 1st codon positions with very high editing efficiency(~80%).In plants,RNA editing is thought to affect plant phenotype and growth by restoring evolutionarily conserved amino acids and ensuring the correct folding of trans-membrane proteins on the respiratory chain complex(Sloan,2017).

关键词： editing template

Analytical Solution for the Transient Response of A Sloping Seabed Induced by A P-Wave Line Source

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China Ocean Engineering 2023年第6期37卷 1044-1054页

作者： MA Rong shan Zhen-dong XIE Zhi-nan dong Rui JING Li-ping Key Laboratory of Earthquake Engineering and Engineering Vibration Institute of Engineering MechanicsChina Earthquake AdministrationHarbin 150080China Key Laboratory of Earthquake Disaster Mitigation Ministry of Emergency ManagementHarbin 150080China

Many offshore marine structures are built on the seabed that are slightly or considerably *** study the sloping seabed transient response during marine earthquakes,an analytical solution induced by a P-wave line source embedded in the solid is *** the derivation,the wave fields in the fluid layer and the semi-infinite solid are firstly constructed by using the generalized ray method and the fluid-solid interface reflection and transmission ***,the analytical solution in the transformed domain is obtained by superposing these wave fields,and the analytical solution in the time domain by applying the analytical inverse Laplace transform *** the head wave generation conditions and arrival times at the fluid-solid interface are derived through this *** the use of numerical examples,the analytical solution is proved right and the impacts of the sloping angle on the hydrodynamic pressure in the sea,the seismic wave propagation in the seabed,the head wave,and the Scholte wave at the seawater-seabed interface are also addressed.

关键词： marine earthquake seismic wave head wave Scholte wave sloping seabed

Analytical solution for 1D consolidation of unsaturated soil with mixed boundary condition

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2013年第1期14卷 61-70页

作者： Zhen-dong shan Dao-sheng LING Hao-jiang DING MOE Key Lab of Soft Soils and Geo-environmental Engineering Zhejiang University Institute of Engineering Mechanics China Earthquake Administration

Based on consolidation equations proposed for unsaturated soil, an analytical solution for 1D consolidation of an unsaturated single-layer soil with nonhomogeneous mixed boundary condition is developed. The mixed boundary condition can be used for special applications, such as tests occur in laboratory. The analytical solution is obtained by assuming all material parameters remain constant during consolidation. In the derivation of the analytical solution, the nonhomogeneous boundary condition is first transformed into a homogeneous boundary condition. Then, the eigenfunction and eigenvalue are derived according to the consolidation equations and the new boundary condition. Finally, using the method of undetermined coefficients and the orthogonal relation of the eigenfunction, the analytical solution for the new boundary condition is obtained. The present method is applicable to various types of boundary conditions. Several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with mixed boundary condition.

关键词： Unsaturated soil Consolidation Mixed boundary condition Analytical solution

β-Phase Crystallization of Poly(vinylidene fluoride) in Poly(vinylidene fluoride)/Poly(ethyl methacrylate) Blends

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Chinese Journal of Polymer Science 2019年第1期37卷 94-100,4-7页

作者： Zi-Jie Huang Jing Jiang Gi Xue dong-shan Zhou Department of Polymer Science and Engineering School of Chemistry and Chemical Engineering Key Laboratory of High Performance Polymer Materials and Technology and The State Key Laboratory of Coordination Chemistry Nanjing University School of Physical Science and Technology Xinjiang Key Laboratory and Phase Transitions and Microstructures in Condensed Matters Yili Normal University

The nature of the crystalline phase of poly(vinylidene fluoride)(PVDF) in compatible blends with poly(ethyl methacrylate)(PEMA) was investigated by using X-ray diffraction(XRD), infrared microscopy(IR) and differential scanning calorimetry(DSC). The βphase of PVDF was observed after quenching from the melt and further annealing above the glass transition temperature over a composition range. The PVDF/PEMA blend with weight ratio of 3:2 has formed higher content of PVDF β crystals than others. By taking advantage of fast cooling rate of ultrafast differential scanning calorimeter(UFDSC), the quenching process of blends was modeled and tested simultaneously, and the melting behavior of β crystals in all blends was investigated. Three types of crystallization behavior of βphase PVDF in blends were found after quenching-annealing at different temperatures.

关键词： β-Crystal of PVDF Mesophase PVDF/PEMA blend Ultra-fast scanning calorimetry

A General Law of Precise Asymptotics for Products of Sums under Dependence

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Acta Mathematica Sinica,English Series 2010年第1期26卷 107-116页

作者： Yong ZHANG Xiao Yun YANG Zhi shan dong College of Mathematics Jilin University Changchun 130012 P. R. China

Let {Xn,n ≥ 1} be a strictly stationary LNQD （LPQD） sequence of positive random variables with EX1 = μ 〉 0, and VarX1 = σ^2 〈 ∞. Denote by Sn = ∑i=1^n Xi and γ = σ/μ the coefficients of variation. In this paper, under some suitable conditions, we show that a general law of precise asymptotics for products of sums holds. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in the study of complete convergence.

关键词： general law precise asymptotics products of sums NA (PA) LNQD (LPQD)

Long-term Trend and Fractal of Annual Runoff Process in Mainstream of Tarim River

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Chinese Geographical Science 2008年第1期18卷 77-84页

作者： XU Jianhua CHEN Yaning LI Weihong dong shan Key Laboratory of Geographic Information Science Ministry of Education Shanghai 200062 China Department of Geography East China Normal University Shanghai 200062 China The Key Laboratory of Oasis Ecology and Desert Environment Xinjiang Institute of Ecology and Geography Chinese Academy of Sciences Urumqi 830011 China

Based on the time series data from the Aral hydrological station for the period of 1958-2005,the paper re-veals the long-term trend and fractal of the annual runoff process in the mainstream of the Tarim River by using the wavelet analysis method and the fractal *** main conclusions are as follows:1)From a large time scale point of view,*** time scale of 16(24)years,the annual runoff basically shows a slightly decreasing trend as a whole from 1958 to *** the time scale is reduced to 8(23)or 4(22)years,the annual runoff still displays the basic trend as the large time scale,but it has fluctuated more obviously during the period.2)The correlation dimension for the annual runoff process is 3.4307,non-integral,which indicates that the process has both fractal and chaotic *** correlation dimension is above 3,which means that at least four independent variables are needed to describe the dynamics of the annual runoff process.3)The Hurst exponent for the first period(1958-1973)is 0.5036,which equals 0.5 approximately and indicates that the annual runoff process is in *** Hurst exponents for the second(1974-1989)and third(1990-2005)periods are both greater than 0.50,which indicate that the annual runoff process showed a long-enduring characteristic in the two *** Hurst exponent for the period from 1990 to 2005 indi-cates that the annual runoff will show a slightly increasing trend in the 16 years after 2005.

关键词： annual runoff, wavelet fractal Tarim River

Conductivity and chemical stability of SrCe_(0.92)Nb_(0.03)Tm_(0.05)O_(3-δ) membrane prepared by modified sol-gel method

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Chinese Chemical Letters 2012年第8期23卷 957-960页

作者： Wen Hui Yuan Chun shan dong Li Li School of Chemistry and Chemical Engineering South China University of TechnologyGuangzhou 510640China College of Environmental Science and Engineering South China University of TechnologyGuangzhou 510640China

SrCe0.92 Nb 0.03 Tm0.05 O 3-δ powders were synthesized by a modified sol-gel method using citrate as a chelating agent.X-ray diffraction（XRD） analysis verified SrCe 0.92 Nb 0.03 Tm 0.05 O 3-δ powders and membranes consisting of a single perovskite *** morphologies of the sintered membranes were investigated by using scanning electron microscopy（SEM） *** tests demonstrated that the Nb introduction into doped strontium cerate greatly enhanced the chemical *** conductivities of SrCe 0.92 Nb 0.03 Tm 0.05 O 3-δ and SrCe 0.95 Tm 0.05 O 3-δ were measured by the four-point DC method under 10% H 2 /He atmosphere and temperatures（700-900℃）.With a maximum conductivity of 0.0067 S cm^-1 at 900℃,the total electrical conductivity of SrCe 0.92 Nb 0.03 Tm 0.05 O 3-δ increases with increasing *** H 2 permeation flux of SrCe 0.92 Nb 0.03 Tm 0.05 O 3-δ is 0.035 mL cm-2 min-1 when 40% H 2 /He and Ar were used respectively as the feed and sweeping gases at 900℃.

关键词： Strontium cerate Chemical stability Niobium Electrical conductivity

Chemical Behavior of Cadmium in Purple Soil as Affected by Surfactants and EDTA

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Pedosphere 2006年第1期16卷 91-99页

作者： CHEN Yu-Cheng XIONG Zhi-Ting dong shan-Yan School of Resource and Environment Science Wuhan University Wuhan 430072 （China）. School of Resource and Environment Southwest Agricultural University Chongqing 400716 （China）

A soil batch experiment was conducted to investigate both separate and compound effects of three types of surfactants: anionic dodecylbenzene sulfonic acid sodiumsalt (DBSS), cationic cetyltrimethylammonium bromide (CTAB), and non-ionic nonyl phenol polyethyleneoxy ether (TX-100), as well as ethylenediaminetetraacetic acid (EDTA) on cadmium solubility, sorption kinetics, and sorption-desorption behavior in purple soil. The results indicated that both individual application of the three types of surfactants and surfactants combined with EDTA could stimulate Cd extraction from the soil with a general effectiveness ranking of EDTA/TX-100 > EDTA/DBSS > EDTA/CTAB > EDTA > TX-100 > DBSS > CTAB. Further study showed that the compound application of surfactants and EDTA had stronger (P < 0.05) effects on Cd solubility than those added individually. The application of surfactants and EDTA to purple soil (P < 0.05) decreased the proportion of Cd sorbed, while their effectiveness ranking was similar to that of enhanced solubilization. The sorption kinetics of Cd in purple soil was best described by the double-constant equation, while the Freundlich equation gave an excellent fit to the sorption isotherm curves. Therefore, surfactant-enhanced remediation of Cd contaminated soil is feasible and further research should be conducted.

关键词： cadmium desorption EDTA sorption kinetics surfactant