2016 No. 1
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2016, (1): 1-8.
doi: 10.3969/j.issn.1000-5641.2016.01.001
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Abstract:
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.
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.
2016, (1): 9-18.
doi: 10.3969/j.issn.1000-5641.2016.01.002
Abstract:
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.
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.
2016, (1): 19-26.
doi: 10.3969/j.issn.1000-5641.2016.01.003
Abstract:
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.
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.
2016, (1): 27-38.
doi: 10.3969/j.issn.1000-5641.2016.01.004
Abstract:
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.
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.
2016, (1): 39-42.
doi: 10.3969/j.issn.1000-5641.2016.01.005
Abstract:
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.
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.
2016, (1): 43-50.
doi: 10.3969/j.issn.1000-5641.2016.01.006
Abstract:
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.
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.
2016, (1): 51-57.
doi: 10.3969/j.issn.1000-5641.2016.01.007
Abstract:
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.
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.
2016, (1): 58-68.
doi: 10.3969/j.issn.1000-5641.2016.01.008
Abstract:
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.
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.
2016, (1): 69-80.
doi: 10.3969/j.issn.1000-5641.2016.01.009
Abstract:
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.
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.
2016, (1): 81-90.
doi: 10.3969/j.issn.1000-5641.2016.01.010
Abstract:
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 existencetheorem on the multiple Markov chains in random environments was proved and several equivalent conditions of the multiple Markov chains in random environments were presented
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 existencetheorem on the multiple Markov chains in random environments was proved and several equivalent conditions of the multiple Markov chains in random environments were presented
2016, (1): 91-95.
doi: 10.3969/j.issn.1000-5641.2016.01.011
Abstract:
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.
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.
2016, (1): 96-101.
doi: 10.3969/j.issn.1000-5641.2016.01.012
Abstract:
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.
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.
2016, (1): 102-106.
doi: 10.3969/j.issn.1000-5641.2016.01.0051
Abstract:
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.
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.
2016, (1): 103-106.
doi: 10.3969/j.issn.1000-5641.2016.01.014
Abstract:
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.
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.
2016, (1): 113-122.
doi: 10.3969/j.issn.1000-5641.2016.01.015
Abstract:
The high droughttolerant variety Holiday was treated as the experimental material under drought stress in the early flower stage. The expression level of 6 droughtrelated 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 droughtresistant 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 droughtresistant 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 droughtrelated 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.
The high droughttolerant variety Holiday was treated as the experimental material under drought stress in the early flower stage. The expression level of 6 droughtrelated 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 droughtresistant 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 droughtresistant 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 droughtrelated 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.
2016, (1): 123-133.
doi: 10.3969/j.issn.1000-5641.2016.01.016
Abstract:
An online focusing method, based on fieldenhanced 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 18crown6bonded 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 lowconductivity matrix, ranging from 2.2 to 9.8 nmol/L (signaltonoise ratio, S/N＝3), and about 160 to 300fold enhancement in concentration was achieved compared to the conventional CEAD method. This method has great potential for the detection of biogenic amines.
An online focusing method, based on fieldenhanced 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 18crown6bonded 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 lowconductivity matrix, ranging from 2.2 to 9.8 nmol/L (signaltonoise ratio, S/N＝3), and about 160 to 300fold enhancement in concentration was achieved compared to the conventional CEAD method. This method has great potential for the detection of biogenic amines.