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    25 January 2016, Volume 2016 Issue 1 Previous Issue    Next Issue
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    Review and perspective: Function of intestinal microbiota in aquatic animals
    ZHANG Mei-Ling, DU Zhen-Yu
    2016, 2016 (1):  1-8.  doi: 10.3969/j.issn.10005641.2016.01.001
    Abstract ( 1521 )   HTML ( 18 )   PDF (864KB) ( 1849 )   Save
    The digestive tracts of vertebrates harbors complex assemblages of bacterial community, which play important roles in nutrient absorption, immune regulation and epithelial development in the host. Although aquatic animals represent the biggest taxonomic and ecological diversity, our knowledge about their intestinal bacteria composition and function is limited. This paper summarizes the recent progress in the research of intestinal bacteria, including the factors influencing the intestinal microbiota assemble, features of the intestinal microbiota in aquaculture and the relationship between the host and the intestinal bacteria,and suggestes the significance and perspective of microbial ecology in aquaculture in future.
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    the q-commutators of braided groups
    HU Hong-Mei
    2016, 2016 (1):  9-18.  doi: 10.3969/j.issn.1000-5641.2016.01.002
    Abstract ( 1046 )   HTML ( 146 )   PDF (289KB) ( 996 )   Save
    With the standard R-matrices and suitably chosen a pair of dual braided groups, the authors gave the rank-inductive constructions of U_q}(\mathfrakg}}) for the ABCD series via the double-bosonization theory in [1]. This paper described explicitly the expressions for the generators of braided groups in the new higher rank-one quantum groups in these constructions, which are the q-commutators with the simple root vectors. These q-commutators are very important to the structure of new quantum groups.
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    Contrast structure of higher dimensional singularly perturbed  optimal control problem
    WU Li-Meng, NI Ming-Kang, LU Hai-Bo, ZHANG Juan
    2016, 2016 (1):  19-26.  doi: 10.3969/j.issn.1000-5641.2016.01.003
    Abstract ( 836 )   HTML ( 7 )   PDF (366KB) ( 974 )   Save
    In this paper, a class of linear high-dimensional singularly perturbed optimal control problem is discussed. By means of k+\sigma exchange lemma, we prove the existence\linebreak of contrast structure solution for the singularly perturbed optimal control problem. Meanwhile, by virtue of the direct scheme method which is based on boundary function method, we construct the uniformly valid formal asymptotic solution. Finally, an example is presented to illustrate the main results.
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    Cells of the weighted Coxeter group (C3,l6)
    YUE Ming-Shi
    2016, 2016 (1):  27-38.  doi: 10.3969/j.issn.1000-5641.2016.01.004
    Abstract ( 731 )   HTML ( 10 )   PDF (338KB) ( 1048 )   Save
    Let \alpha be a group automorphism of the affine Weyl group (\widetilde{A}_{2n},\widetilde{S}) with \alpha(\widetilde{S})=\widetilde{S}. Affine Weyl group(\widetilde{C}_n,S) can be seen as the fixed point set of the affine Weyl group (\widetilde{A}_{2n},\widetilde{S}) under its group automorphism \alpha. The restriction to \widetilde{C}_n of the length function \widetilde{l}_{2n} on \widetilde{A}_{2n} can be seen as a weight function on \widetilde{C}_n. In this paper, we
    give the description for all the left and two-sided cells of the specific weighted Coxeter group (\widetilde{C}_3,\widetilde{l}_6) and prove that each left cell in (\widetilde{C}_3,\widetilde{l}_6) is left-connected.
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    Jordan all-derivable points in upper triangular matrix algebras
    SUN Ai-Hui
    2016, 2016 (1):  39-42.  doi: 10.3969/j.issn.1000-5641.2016.01.005
    Abstract ( 810 )   HTML ( 6 )   PDF (187KB) ( 1022 )   Save
    Zhao and Zhu proved the following result: Every matrix in upper triangular matrix algebras over the complex number field is a Jordan all-derivable point. The aim of this paper is to show that every matrix in upper triangular matrix algebras over an infinite field of characteristic not 2 is a Jordan all-derivable point.
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    Optimality conditions and duality for a class of non-smooth fractional optimization problems
    WANG Guo-Dong, CHEN Lin
    2016, 2016 (1):  43-50.  doi: 10.3969/j.issn.1000-5641.2016.01.006
    Abstract ( 779 )   HTML ( 10 )   PDF (269KB) ( 1032 )   Save
    This paper studies a class of non-smooth multi-objective fractional optimization problems, using the tools in variational analysis and the generalized differential, and establishes necessary conditions and sufficient conditions under some new convexity. These results, which are relatively new in the study of non-smooth multi-objective fractional optimization problems, are characterized by limiting subdifferential. And the study of limiting subdifferential is a pretty hot subject in recent years. In addition, the weak duality and the strong duality results have been obtained in Mond-Weir type duality.
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    A Hilbert-type integral inequality with multi-parameters and composite kernel
    LIU Qiong, HUANG Lin
    2016, 2016 (1):  51-57.  doi: 10.3969/j.issn.1000-5641.2016.01.007
    Abstract ( 691 )   HTML ( 7 )   PDF (261KB) ( 1097 )   Save
    By introducing some special functions to characterize the constant factor, a Hardy-Hilbert type integral inequality with the kernel $\ln(1+\mathrm{e}^{-\alpha x^{\lambda_1}y^{\lambda_2}})$ is obtained, and its equivalent form is considered. The constant factors of the equivalent inequalities are proved being the best possible.
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    Research on the economic rationality of Hengsha new terminal
    ZHOU Yu, ZHU Jian-Hua, CHEN Jing-Chao
    2016, 2016 (1):  58-68.  doi: 10.3969/j.issn.1000-5641.2016.01.008
    Abstract ( 821 )   HTML ( 8 )   PDF (1787KB) ( 1257 )   Save
    Based on current situation of Shanghai Port, this paper focuses on the relationship between port and the development of city. First, data of port and GDP of city are analyzed making use of the linear regression model. Furthermore, the influence on economy in Shanghai after Hengsha new terminal is predicted.Considering the possible deviation in the linear model, however, a neural network model is established to forecast corresponding results. By the above quantitative analysis methods, Hengsha new terminal is expected to drive the development of related industries, bring economic benefits to some extent. In other words, Hengsha new terminal has positive and significant influence on development and construction of Shanghai.
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    Reliability analysis of Birolini's duplex system sustained by a non-priority unit in cold standby
    HUANG Kai, WU Qing-Tai
    2016, 2016 (1):  69-80.  doi: 10.3969/j.issn.1000-5641.2016.01.009
    Abstract ( 827 )   HTML ( 10 )   PDF (449KB) ( 1054 )   Save
    This paper deals with Birolini's duplex system sustained by a non-priority unit in cold standby. It is assumed that the life of the unit is exponential distribution, and the repair time of the unit is general continuous distribution. Then by using supplementary variables approach and generalized Markov process method, the Laplace transform of the reliability and the mean time to first failure are attained. Meanwhile, the availability and the failure frequency of the system are obtained.
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    The multiple Markov chains in random environments
    FEI Shi-Long
    2016, 2016 (1):  81-90.  doi: 10.3969/j.issn.1000-5641.2016.01.010
    Abstract ( 829 )   HTML ( 6 )   PDF (317KB) ( 1032 )   Save
    The multiple Markov chains in random environments were  introduced and several properties and application backgrounds of the multiple Markov chains in random environments  were given. An existence theorem on the multiple Markov chains in random environments was proved and several equivalent conditions of the multiple Markov chains in random  environments were presented
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    Bi-super-connected digraphs
    LI Jing-Jing, LIU Juan
    2016, 2016 (1):  91-95.  doi: 10.3969/j.issn.1000-5641.2016.01.011
    Abstract ( 991 )   HTML ( 7 )   PDF (179KB) ( 947 )   Save
    A simple digraph D (without loops and multiple arcs) is said to be super-connected if every minimum vertex-cut is the out-neighbor set or in-neighbor set of a vertex. A super-connected digraph D is said to be bi-super-connected if there exists a minimum vertex-cut is both the out-neighbor set of a vertex and the in-neighbor set of a vertex. In this paper, we will give the necessary and sufficient conditions of line digraph is bi-super-connected, furthermore, we study the big super-connectivity of Cartesian product and lexicographic product of two digraphs.
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    Characterization of bipartite graph with maximum spectral radius
    NIU Ai-Hong, WANG Guo-Ping, QIN Zheng-Xin, MOU Shan-Zhi
    2016, 2016 (1):  96-101.  doi: 10.3969/j.issn.1000-5641.2016.01.012
    Abstract ( 828 )   HTML ( 14 )   PDF (262KB) ( 1034 )   Save
    The adjacency matrix A(G) of a graph G is the n\times
    n matrix with its (i,j)-entry equal to 1 if v_i and v_j are
    adjacent, and 0 otherwise. The spectral radius of G is the
    largest eigenvalue of A(G). In this paper we determine the graphs
    with maximum spectral radius among all trees, and all bipartite
    unicyclic, bicyclic, tricyclic, tetracyclic, pentacyclic and
    quasi-tree graphs, respectively.
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    The chromatic number for fork-free graphs
    WANG Xiao
    2016, 2016 (1):  102-106.  doi: 10.3969/j.issn.1000-5641.2016.01.005
    Abstract ( 726 )   HTML ( 10 )   PDF (201KB) ( 1177 )   Save
    Randerath once conjectured that every triangle-free and fork-free graph is 3-colourable. By a lemma, the conjecture for C_4-free graphs was proved.Moreover, the result that every triangle-free, C_4-free and C_{2,2,1,n}-free graph is (n+2)-colourable was proved as well, where C_{2,2,1,n} is the long handled fork with order (n+6) obtained from E-graph and P_n by joining the center vertex of E and one endvertex of P_n.
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    Terahertz extraordinary transmission from flexible C-shape split-ring resonators
    LUO Cong-Wen, ZHAO Zhen-Yu, SONG Zhi-Qiang, ZHAO Hong-Wei, HE Xiao-Yong, SHI Wang-Zhou, CHEN Zhi-Zhan
    2016, 2016 (1):  103-106.  doi: 10.3969/j.issn.1000-5641.2016.01.014
    Abstract ( 843 )   HTML ( 7 )   PDF (2125KB) ( 1158 )   Save
    Polarization dependence of terahertz (THz) extraordinary transmission from a flexible C-shape split-ring resonance (C-shape SRR) is investigated. When the THz polarization is perpendicular to the gap of C-shape SRR, a single-peak resonance is observed owing to the inductive-capacitive (LC) resonance. When the THz polarization is parallel to the gap of C-shape SRR, a periodic multiple resonances phenomenon is observed. The simulation of the electric density distribution and surface current indicate that the asymmetric Fabry-P\'{e}rot effect of the C-shape SRR attributes to the periodic resonances.
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    Expression analysis of Brassica napus L. droughtrelated genes under drought stress
    HE Qiao-Li, ZHANG Zhe, RAN Chun-Yan, XIE Xiao-Yu
    2016, 2016 (1):  113-122.  doi: 10.3969/j.issn.10005641.2016.01.015
    Abstract ( 954 )   HTML ( 12 )   PDF (2787KB) ( 1101 )   Save
    The high droughttolerant variety Holiday was treated as the experimental material under drought stress in the early flower stage. The expression level of 6 droughtrelated genes (ABA2、BnSOS2、BnCS、 CAM、CBF4、PIP1) which were selected from different organs (root, stem, leaf, flower and green pod) at different stress times (1,3,5,7 days) were analyzed by qRT PCR technology. The result showed that the expression of six droughtresistant genes in different organs all increased under drought stress, and they presented different trends respectively under different drought stress. In the same organs, the expression of the six droughtresistant genes had obvious different. In root, the maximum cumulative expression value gene was ABA2, and the minimum cumulative expression value gene was CBF4; in stem, the maximum was CAM, the minimum was CBF4; in leaf, the maximum was PIP1, the minimum was ABA2; in flower, the maximum was CBF4, the minimum was BnSOS2; in green pod, the maximum was BnCS, the minimum was CBF4. It suggested that different drought resistance pathway played〖JP2〗 different role under drought stress. The correlation analysis between expression values of droughtrelated genes and stress time showed that the expression quantity of CAM gene in the stem volume, CBF4 gene in the flowers was significantly positively related to the stress time.
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    Online sample focusing technique in capillary electrophoresisamperometric detection for biogenic amines
    WANG Guan, TANG Wan-Rong, GE Shu-Li, HAN Ruo-Bing, WANG Qing-Jiang, HE Pin-Gang, FANG Yu-Zhi
    2016, 2016 (1):  123-133.  doi: 10.3969/j.issn.1000-5641.2016.01.016
    Abstract ( 689 )   HTML ( 7 )   PDF (2662KB) ( 949 )   Save
    An online focusing method, based on fieldenhanced sample injection coupled with transient moving substitution boundary, was developed for the separation and capillary electrophoresis(CE)amperometric detection (AD) of biogenic amines under acidic conditions for the first time. The proposed method was based on the substitution reaction between 18crown6bonded biogenic amine complexes and Na+ cations at the substitution boundary. By using this method, electrode fouling was prevented in electrochemical detection. The factors affecting extraction efficiency, separation, and detection were investigated. Under the optimum conditions, the limits of detection of five analytes in a sample, which was prepared in a lowconductivity matrix, ranging from 2.2 to 9.8 nmol/L (signaltonoise ratio, S/N=3), and about 160 to 300fold enhancement in concentration was achieved compared to the conventional CEAD method. This method has great potential for the detection of biogenic amines.
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