Table of Content

  

20 July 2014
Volume 49 Issue 07

Articles

On stochastic generalized porous media and fast diffusion equations

WANG Feng-Yu

J4. 2009, 44(10):  1-3. 

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In terms of some recent work of the author and collaborators, this paper provides a selfcontained account for the study of stochastic generalized porous media and fastdiffusion equations. We start from the corresponding deterministic equations in PDEs to explain the framework of the study, then introduce, respectively, results on the existence and uniqueness of solutions, the Harnack inequality for the associated transition semigroups and applications, the L² solutions and Large deviation principles with small noise.

Effect of plants spacing on growth and photosynthetic of poplar plantations

QIN Zhu-nan, SUN Chao, HAN YI, CAO Bang-hua, MA Yong-sheng, JIA Bo

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  1-6.  doi:10.6040/j.issn.1671-9352.0.2014.131

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The effect of spacing between rows and between plants in a row on growth characteristic and photosynthetic characteristic in poplar plantations were investigated in field experiment. The experiment consisted of 3 planting patterns of 4 poplar clones(L35, I-107, W-141, zhonghe-1) under the similar plant population density (417 plant/hm²). And the row spacing (cm)×plant spacing (cm) were 3 m×8 m, 4 m×6 m, 5 m×5 m respectively. The results indicated that height and crown of tree had no significant difference in different allocations. The DBH, form-factor and individual volume in 5 m×5 m allocation were significantly more than that of in the others. Eccentricity of cross section of 5 m×5 m allocation was less than that of others and 3 m×8 m was the largest one. Pn, Tr and Wue of poplar were increased with the decrease of plant spacing. In the case of similar density, square planted with narrowing row spacing poplar and increasing plant spacing poplar are more conducive to make full use of space.

Study on extracting characteristics of trace element in loquat scented tea

LI Chun-rong, MENG Tie-hong

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  7-11.  doi:10.6040/j.issn.1671-9352.0.2013.632

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The contents of Ca,Fe,Mn, Mg,Zn,Cu, and Ni in loquat scented tea were determined by microwave slaking and flame atomic absorption spectrometry (FAAS) in this study. And the extracting characteristic of these trace elements in different soaking time and times were analyzed. The results show that the contents of trace element in descending order Ca>Fe>Mn>Mg>Zn>Ni>Cu, compared with Mn and Fe, the Ca and Mg can be extracted easily from loquat scented tea. The infusing amount of trace elements in different soaking time could be described with logarithmic relation and times could be described with negative exponential relation. The method of FAAS to determine the contents of Ca, Fe etal is simple, accuracy and sensitive, and suitable for routine analysis. The optimum conditions of loquat scented tea for soaking were obtained with soaking time 30 min and soaking for 3 times.

DjRock2 involved in regeneration activities in Dugesia japonica

WEI Fei, ZHAO Bo-sheng

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  12-17.  doi:10.6040/j.issn.1671-9352.0.2014.171

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In vitro transcription of RNA synthesized DjRock2 gene probe, the detection efficiency of RNA probe, and regeneration of adult planarians in situ hybridization. Then insert DjRock2 gene to the vector L4440, construct L4440-DjRock2 interference vector, synthetic dsRNA and microinjection planarian, using RT-PCR and Western blot technique to detect interference regeneration process expressing down effect on DjRock2 mRNA and protein. The results showed that: DjRock2 genes specifically expressed in mature planarian central nervous system regeneration blastema wound position has a positive signal; interfere adult planarian regeneration of the first three days at the head, middle and tail of the embryo group has, but the first five days at the beginning of the wound apoptosis, adult stem cells do not complete the normal differentiation of the head, middle and tail regeneration is inhibited, not the normal completion of regeneration, and even death. RT-PCR technique significantly decreased DjRock2 mRNA expression was detected after RNA interference. Upon detection of interference Western blot protein expression DjRock2 down. Constructed L4440-DjRock2 high interference carrier interference efficiency, phenotypic changes significantly, the analysis of gene and protein, laid the foundation for further research Rock2 gene function.

Hydrothermal synthesis of ZnO/SnO composite nanorods as gas sensors for volatile organic compounds detection

FENG Zhen-yu, BAO Wen-ya, ZHANG Shi-shu, ZHANG Jun-yan, ZHANG Zheng-lin

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  18-22.  doi:10.6040/j.issn.1671-9352.0.2014.194

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The Porous ZnO/SnO composite nanorods were fabricated through hydrothermal method. The prepared hexagonal wurtzite structure ZnO nanorods were coated by SnO as porous shells. The structure and morphology of the resultant products were characterized by X-ray diffraction (XRD), transmission electron microscopy (TEM), scanning electron microscopy (SEM) and energy dispersive spectrdmeter (EDS). The BET nitrogen adsorption—desorption technique indicated the as-prepared composite nanorods with 11.38 m²/g surface area. The gas sensing properties of the as-prepared ZnO/SnO composite nanorods were investigated. The composite nanorods exhibited a superior gas sensing performance toward ppm level formaldehyde vapor, implying promising applications in detecting toxic volatile organic compounds (VOCs).

QSPR analysis on the cis-trans isomerism of alkenes based on molecular structure matrix

LIU Xin-hua, ZHU Bao-yong

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  23-27.  doi:10.6040/j.issn.1671-9352.0.2014.100

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The structure matrix of the cis-trans isomerism of alkenes was constructed by reference to the theory of distance matrix and adjacency matrix, the mathematical model was constructed based on norm of row vector and column vector of the molecular structure matrixes,and then chromatographic retention index,boiling point,density, refractive index and molar refractive index of the cis-trans isomerism of alkenes were predicted using the mathematical model. The prediction results are better than other literature. The structure matrix can effectively distinguish between the cis-and the trans-form of alkenes, and has clear physical meaning. The model was tested by LOO cross validation and random sampling prediction, the results show that the model has good stability and strong prediction ability. This paper provides a new idea and new method for QSPR study of the cis-trans isomerism of alkenes.

Detailed level-by-level study of LMM dielectronic satellite lines for neon-like xenon

YANG Jian-hui, FAN Qiang, ZHANG Jian-ping

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  28-33.  doi:10.6040/j.issn.1671-9352.0.2014.004

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The energy levels of single excited states of neon-like xenon were calculated by using relativistic configuration interaction (RCI) method. The transition energies, rates and intensity factors of LMM dielectronic satellite lines for neon-like xenon were performed with detailed level-by-level mode considering Breit interaction, vacuum polarization and self energy. The wave lengths and intensities between LMM dielectronic satellite lines and parent lines were compared. The results show that the wave lengths between dielectronic satellite lines and parent lines are little difference; the ratio of intensity factors between dielectronic satellite lines and parent lines changes quickly with temperature changing. The ratio of intensity factors between dielectronic satellite lines and parent lines can be applied to diagnosis plasma temperature.

Threshold scheme for LWE inversion

ZHAO Xiu-feng, WANG Ai-lan, WANG Xiang

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  34-37.  doi:10.6040/j.issn.1671-9352.0.2013.634

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To solve security risks caused by single-point failures, it is usually preferred to apply secret sharing/threshold technique to strengthen the reliability of cryptosystems. How to construct efficient threshold scheme for LWE inversion be left as open problem. A threshold scheme for LWE inversion, called T-LWE-Invert was first proposed, and it solves trapdoor share and it computes the LWE inversion by secret sharing scheme for additive group. Theoretical analysis indicates that this scheme achieves zero-knowledge simulatablity, so it is as secure as original LWE inversion algorithm.

Multi-period closed-loop supply chain network equilibrium under uncertainty and the resulting demand satisfaction

ZHOU Yan, SUN Hao, WANG Jing-jing, HAN Rui-jing, JIANG Jing-long

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  38-49.  doi:10.6040/j.issn.1671-9352.0.2013.512

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This article was designed to develop an equilibrium model of a uncertain multi-period closed-loop supply chain network which was comprised by noncooperative manufacturers, retailers, demand markets and recovery centers. The decision-makers in the network had sufficient information about the future and sought to determine their optimal plans that maximize their profits over the multi-period planning horizon. With the help of equilibrium theory and variational inequality theory, the network structure of the multi-period closed-loop supply chain based on uncertainty and the resulting demand satisfaction was identified and the decision-makers’ equilibrium conditions were derived. An algorithm for solving the variational inequality was designed via logarithmic-quadratic proximal prediction-correction algorithm to compute the equilibrium solution. Finally, numerical examples are solved to test the efficiency of the model and the proposed algorithm for finding the above equilibrium, and sensitivity analysis are also be conducted to illustrate the effect of the resulting demand satisfaction on the decision-makers’ strategies, together with their respective profits.

The application of sample entropy in stock stability analysis

SHEN Wen-hao, QIAO Kan-kun, LU Zhi-ming

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  50-56.  doi:10.6040/j.issn.1671-9352.0.2014.032

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By means of sample entropy, the logarithmic price difference series of the Shanghai Composite Index, the Shenzhen Component Index, the Hang Seng Index, and the Dow Jones Index are analyzed. It is proved that the entropy of stock is related with market stability. When the amount of currency in circulation increased, the entropy of stock increased as well, the market becomes more mature. Further analysis of domestic and foreign financial index indicates that when the market is under control, even if the amount of currency in circulation increased, the entropy will still decrease sharply, the market degrades. Through horizontal comparison of the entropy of different time scale, characteristics of the short-term and long-term market are revealed.

Extremal distributions for 5-convex stochastic orderings with arbitrary discrete support and applications in actuarial sciences

TIAN You-gong, LIU Zhuan-ling

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  57-62.  doi:10.6040/j.issn.1671-9352.0.2014.106

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In the sense of discrete 5-convex stochastic ordering, the extremal distribution for random variables valued in an arbitrary discrete subset of the half-positive real line R⁺ was considered. The bounds of Lundberg's adjustment coefficient in actuarial sciences were estimated.

Backward stochastic Volterra integral equations with general martingales

ZHAO Jie, SHI Yu-feng

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  63-68.  doi:10.6040/j.issn.1671-9352.0.2014.041

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The existence and uniqueness result of the adapted M-solution of backward stochastic Volterra integral equations (BSVIEs) driven by general martingales under Lipschitz conditions was proved, and the duality principles of the linear BSVIEs driven by general martingales were given. At last a comparison theorem of this kind of BSVIEs was showed by virtue of the duality principles.

Restricted statistical inference for partially linear models with error-prone covariates

ZHAO Pei-xin, ZHOU Xiao-shuang

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  69-74.  doi:10.6040/j.issn.1671-9352.0.2014.139

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The statistical inference for the partially linear models with error-prone covariates were considered. A restricted least square estimation procedure of parametric components was proposed, and the resulting estimator was shown to be asymptotic normality. Moreover, a Lagrange multiplier testing method was proposed to test the validity of the linear restriction. It was proved that the proposed testing statistic follows an asymptotic standard Chi-square distribution under the null hypothesis. Simulation studies imply that the proposed estimation procedure can attenuate the effect of measurement errors, and the proposed testing method is more powerful.

The limit law of the single logarithm for arrays

FENG Zhi-wei

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  75-79.  doi:10.6040/j.issn.1671-9352.0.2014.015

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The limit law of the single logarithm by arrays of i.i.d random variables is obtained through the strong approximations, deepening the existing result. And the similar result is got in Banach space setting.

Weighted estimates of fractional integral with rough kernel and its commutators on Herz-type Hardy Spaces

GOU Yin-xia, TAO Shuang-ping, DAI Hui-ping

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  80-87.  doi:10.6040/j.issn.1671-9352.0.2013.577

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The main goal of this paper is to study the weighted estimates about the fractional integrals with rough kernels and its commutators on the Herz-type Hardy spaces. As Ω∈L^s(S^n-1)(1< s <∞), it is proved that the fractional integrals T_Ω,l and its commutators [b,T_Ω,l] generated by the BMO functions are bounded from the weighted Herz-type Hardy spaces to the weighted Herz spaces by using the atomic decompositions. Also, the corresponding results are also obtained for the maximal fractional integrals with rough kernels.

Stability and bifurcation analysis for a single population discrete model with Allee effect and delay

WU Dai-yong, ZHANG Hai

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2014, 49(07):  88-94.  doi:10.6040/j.issn.1671-9352.0.2013.596

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We consider a single population discrete model with Allee effect and delay. By analyzing the characteristic equation of the linearized system at the positive equilibrium, we obtain the conditions ensuring the asymptotic stability of the positive equilibrium and the existence of Neimark-Sacker bifurcation, with respect to the parameter of the model. Based on the center manifold theorem and bifurcation theory, we discuss Neimark-Sacker bifurcation direction and the stability of bifurcated solutions. Finally, some numerical simulations are performed to illustrate the theoretical results.