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Table of Content

      
    24 February 2006
    Volume 41 Issue 1
    Articles
    A fully-discrete splitting positive definite mixed element scheme finite for compressible miscible displacement in porous media
    ZHANG Jian-song and YANG Dan-ping
    J4. 2006, 41(1):  1-10 .  doi:
    Abstract ( 1207 )   Save
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    A miscible displacement of one compressible fluid by another in a porous medium is governed by a nonlinear parabolic system. A new mixed finite element method, in which the mixed element system is symmetric positive definite and the flux equation is separated from pressure equation, is introduced to solve the pressure equation of parabolic type, and a standard Galerkin method is used to treat the convectiondiffusion equation of concentration of one of the fluids. A fullydiscrete scheme is given and the convergence of the scheme is analyzed.
    A fullydiscrete splitting positive definite mixed element scheme finite for compressible miscible displacement in porous media
    ZHANG Jian-song and YANG Dan-ping
    J4. 2006, 41(1):  1-10 .  doi:
    Abstract ( 1502 )   Save
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    A miscible displacement of one compressible fluid by another in a porous medium is governed by a nonlinear parabolic system. A new mixed finite element method, in which the mixed element system is symmetric positive definite and the flux equation is separated from pressure equation, is introduced to solve the pressure equation of parabolic type, and a standard Galerkin method is used to treat the convection-diffusion equation of concentration of one of the fluids. A fully-discrete scheme is given and the convergence of the scheme is analyzed.
    Solvability of a class of nonlinear fourth-order three-point boundary value problems
    YAO Qing-liu
    J4. 2006, 41(1):  11-15 .  doi:
    Abstract ( 791 )   Save
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    The solution and positive solution were considered for a class of fourth-order three-point boundary value problems whose nonlinear term contains first, second and third derivatives. By constructing suitable Banach space and applying corresponding integral equation, two existence theorems were established. The main ingredient is the LeraySchauder fixed point theorem
    Solvability of a class of nonlinear fourth-order three-point boundary value problems
    YAO Qing-liu
    J4. 2006, 41(1):  11-15 .  doi:
    Abstract ( 1015 )   Save
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    The solution and positive solution were considered for a class of fourth-order three-point boundary value problems whose nonlinear term contains first, second and third derivatives. By constructing suitable Banach space and applying corresponding integral equation, two existence theorems were established. The main ingredient is the LeraySchauder fixed point theorem.
    Galerkin method for controlledrelease and spread of solute in porous media
    CHENG Ai-jie and LU Ning
    J4. 2006, 41(1):  16-20 .  doi:
    Abstract ( 1401 )   Save
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    The process of controlled-release in porous media was governed by a boundary integral-ordinary differential equation, while the process of spread was characterized by a convection-diffusion (with mechanical dispersion) equation with a boundray condition of the third type. A finite element scheme was proposed for solving the coupled nonlinear system. Convergence was analysed by a priori estimate method.
    A sufficient condition on the edge covering coloring of nearly bipartite graphs
    WANG Ji-hui,
    J4. 2006, 41(1):  21-23 .  doi:
    Abstract ( 1548 )   Save
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    Let G be a simple graph with vertex set V(G) and edge set E(G). A subset S of E(G) is called an edge covering of G if the subgraph induced by S is a spanning subgraph of G. The maximum number of edge coverings which construct a partition of E(G) is called the edge covered chromatic index of G,denoted by χ’c(G). It is well known that δ-1≤χ’c(G)≤δ , then G is called a graph of CⅠ class if χ’c(G)=δ , otherwise G is called a graph of CⅡ class. It is easy to prove that the problem of deciding whether a given graph is CⅠclass or CⅡ class is NP-complete. In this paper, we give a sufficient condition for a nearly bipartite graph to be CⅠclass. Furthermore we show that the results in this paper is the best possible.
    The chromatically equivalent depiction and the chromatically unique condition of the complement of Pl∪Cm∪Dn
    YE Cheng-fu and YIN Jian
    J4. 2006, 41(1):  24-29 .  doi:
    Abstract ( 1460 )   Save
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    Let Pn be the path with n vertices and Cn the cycle with n vertices and let Dn be the graph obtained by identifying one vertex of K3 with one of end vertices of Pn-2. All chromatically equivalent graphs of the complement of Pl∪Cm∪Dn are characterized completely, by using theory of adjoint polynomials of graphs. A sufficient condition for it to be chromatically unique is given.
    Some results on fractional kuniform graphs
    CAI Jian-sheng,YU Ji-guo ,and WANG Ji-hui,
    J4. 2006, 41(1):  30-34 .  doi:
    Abstract ( 1701 )   Save
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    Optimal control of one kind general jump transition systems
    GUO Lei,YU Rui-lin and TIAN Fa-zhong
    J4. 2006, 41(1):  35-40 .  doi:
    Abstract ( 1294 )   Save
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    Under the unified model of hybrid control systems, the jump transiton's influence on the optimal control is put forward. The variation method is used to study the optimal control of Nstage jump transition systems. Making use of this method, one attains the essential condition of the optimal control.
    LR-normal orthogroup congruence on regular semigroups
    XING Jian-min
    J4. 2006, 41(1):  41-44 .  doi:
    Abstract ( 1281 )   Save
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    Rough system and its rough dependency
    SHI Kai-quan and YU Wen-qiong
    J4. 2006, 41(1):  45-51 .  doi:
    Abstract ( 1416 )   Save
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    Rough approximations based on α-cut and strong-βcut of fuzzy set μRX
    LI Xiu-hong,XUE Pei-jun and SHI Kai-quan
    J4. 2006, 41(1):  52-56 .  doi:
    Abstract ( 1585 )   Save
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    Generalized recursive preference in incomplete information
    ZHANG Hui
    J4. 2006, 41(1):  62-68 .  doi:
    Abstract ( 1313 )   Save
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    The case of an agent with generalized recursive preference is considered, who can't observe the random drift of the stock price process. This problem with partial information can be transformed into a problem with full information by filtering, in which the drift is replaced by its expected value conditional on the information given by the stock price history. The optimal consumption and portfolio in a complete market is also considered, and the framework to find the optimal consumption is got. The main method is the knowledge of Backward Stochastic Differential Equation (BSDE).
    Pointwise approximation of generalized lupas-baskakov operators for functions with locally bounded derivatives
    ZHOU Yunming
    J4. 2006, 41(1):  69-73 .  doi:
    Abstract ( 1260 )   Save
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    Asymptotic approximation of one order absolute moment for Generalized Lupas-Baskakov operators by means of analysis technique is obtained, and the rate of Convergence of generalized Lupas-Baskakov operators by means of Bojanic-Cheng methods combining with division technique of interval for functions with locally bounded derivative is studied.
    Single processor scheduling with batching and with penalty of common due window location
    ZHAO Hong-luan,WANG Xiao-li,QI Xing-qin
    J4. 2006, 41(1):  74-77 .  doi:
    Abstract ( 1348 )   Save
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    Single processor scheduling with a common due window and family setups is studied. All jobs have common earliness cost and common tardiness penalty, but the window location with linear cost is a decision variable. The objective is to minimize the sum of all the costs. Following some properties of the optimal scheduling, a polynomial algorithm is proposed.
    Sorting binary strings with length weighted transpositions
    QI Xing-qin,HE Zhi-hong and ZHAO Hong-luan
    J4. 2006, 41(1):  82-85 .  doi:
    Abstract ( 1370 )   Save
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    The problem of sorting binary strings with lengthweighted transpositions is considered, i.e. the cost of a transposition of length l is f(l)=lα, α>0, rather than 1. Approximation algorithms are given for 0<α<1 and 1<α<2 respectively, and bubble sort is proved to be an exact algorithm for this problem when α≥2. The results have direct applications in computational biology to the field of comparative genomics.
    H1-Error estimates for characteristicfiniteelement method of seawater intrusionproblem
    LONG Xiao-han,
    J4. 2006, 41(1):  86-91 .  doi:
    Abstract ( 1206 )   Save
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    For simulation of seawater intrusion problem, the pressure equation is approximated by finite element method and the concentration equation is approximated by characteristicfinite element method. New discrete scheme is presented. Optimal rate H1-norm error estimates are derived.
    The single valued extension property on a Banach space
    CAO Xiao-hong
    J4. 2006, 41(1):  92-96 .  doi:
    Abstract ( 1221 )   Save
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    The Hermitian positive definite solutions of the matrixequation X-A*XqA=I(q>0)
    GAO Dong-jie and ZHANG Yu-hai
    J4. 2006, 41(1):  97-105 .  doi:
    Abstract ( 1413 )   Save
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    It is studied that the Hermitian positive definite solutions of the matrix equation X-A*XqA=I with q>0.When q>1, Some properties of the solutions and the basic fixed point iterations for the equation are discussed in some detail. When 0
    Lagrange relaxation heuristic algorithm for stochastic loader problem
    ZHAO Pei-xin,MA Jian-hua and WANG Hong,
    J4. 2006, 41(1):  106-110 .  doi:
    Abstract ( 1137 )   Save
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    An approximate algorithm for the cost totalcoloring of trees
    CHEN Yong,
    J4. 2006, 41(1):  111-114 .  doi:
    Abstract ( 1274 )   Save
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    Let G be a simple graph, C be a set of colors, and let w be a cost function which assigns a real number w(c) to each color c in C. A totalcoloring of a graph G is to color all the elements of V(G)∪E(G) in such a way that no two adjacent or incident elements receive the same color. A 2-approximate algorithm is given to find an optimal cost total-coloring of a given tree T, that is, a totalcoloring f of T such that the sum of costs w(f(x)) of colors f(x) assigned to all elements x is minimum among all total-colorings of T. The algorithm takes time O(nΔ2) if n is the number of vertices and Δ is the maximum degree of T.
    The uniqueness of function derivative that share one CM value
    ZHANG Ji-long and YI Hong-xun
    J4. 2006, 41(1):  115-119 .  doi:
    Abstract ( 1438 )   Save
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    Channel estimation based on pseudorandom code pilots in FMT system
    HU Lan-yu,GAO Zhen-ming,ZHU Wei-hong,ZHANG Can and SUN Qiao-yun
    J4. 2006, 41(1):  120-124 .  doi:
    Abstract ( 1304 )   Save
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    This paper provides a new algorithm of channel estimation based on pseudorandom sequence in filtered multitone (FMT) system which is not only suitable to slow time varying channel but to fast one. The complexity and the performance of the new estimation algorithm were discussed theoretically. Simulations show that the bit error rate (BER) of this new algorithm is much better than Least Square (LS) algorithm, approximate to linear minimum mean square error (LMMSE) algorithm, but its complexity is less than LMMSE algorithm.
    Hierarchical IDbased proactive threshold signature scheme
    YU Jia and LI Da-xing
    J4. 2006, 41(1):  125-129 .  doi:
    Abstract ( 1295 )   Save
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    A hierarchical IDbased proactive threshold signature scheme is presented. The scheme has the structure of hierarchical PKGs, so a lowerlevel PKG can share the workload of secret information generation and identity authentication with a higherlevel PKG. At the same time the scheme has the property of proactive security, that is, the whole lifetime of signature is divided into several time periods, and the shares of private key need to be renewed in each time period. However, new shares can construct the same private key as old shares. We assure the correctness of part signatures by the knowledge proof protocol of discrete logarithm equality, and then prove that our scheme is correct, nonforgeable and robust. Finally, we give some extensions of this scheme.
    Determination of nutrimental constituents and analysis of function for Japanese red pine pollen and Japanese black pine pollen
    J4. 2006, 41(1):  130-132 .  doi:
    Abstract ( 1343 )   Save
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    The pollen nutrition composition of Japanese red pine and black pine growing in Shangdong peninsula is tested and analyzed, especially the kind and content of amino acid, crude protein, total sugar, reducing sugar, care sugar, fat, vitamin and mineral substance. Meanwhile, a contrastive analysis of the nutrition composition with that of the other pine pollen is made. The conclusion is that the pollen of Japanese red pine and black pine is rich in nutrient substance with the function of keeping nutrition balance, immunizing people against diseases, delaying senescence etc.
    Screening and identification of βgalactosidaseproducing microorganism and enzymatic synthesis of galactooligosaccharides using its transgalactosylation
    WANG Hong-mei,XIAO Min*,LI Zheng-yi,LI Yu-mei,QIAN Xin-min,
    J4. 2006, 41(1):  133-139 .  doi:
    Abstract ( 1255 )   Save
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    One bacterium strain producing βgalactosidase with transgalactosylation activity was screened from 97 strains of microorganisms stored in our laboratory using hydrolysis activity on o-nitrophenyl-β-D-galactopyranoside followed by transgalactosylation activity on lactose. Phenotypic analyses including morphology and physiology characteristics and 16S rDNA sequence analyses were carried out. The GenBank accession number of the 16S rDNA was DQ267829. By making a comprehensive view on all the results of taxonomy, the strain was identified as Bacillus megaterium 2-37-4-1. The growth condition for production of βgalactosidase of B. megaterium 2-37-4-1 was investigated. The optimal carbon source and nitrogen source were 1% lactose and 0.5 % peptone plus 0.5% yeast extract, respectively. High yield of the enzyme was obtained at 37℃ for 18 h. Effects of pH, the concentration of lactose, reaction temperature and time on the enzymecatalyzed transgalactosylation activity were studied and the reaction products were analyzed by thin layer chromatography (TLC) and highperformance liquid chromatography (HPLC). In 50mM phosphate buffer (pH 7.5) containing 40% lactose, reacted at 55℃ with shaking for 24 h, the transgalactosylation product was composed of 25.68% galactooligosaccharides (GOS), 33.02% disaccharides including lactose and transgalctosylated disaccharides, 26.37% glucose and 14.92% galactose.
    Screening of Goat Peyer's patch differentially expressed genes
    ZHANG Lei,YANG Yong-jie,CHEN Xiao-peng,LIANG Feng-jun and ZHANG Yan-jun*
    J4. 2006, 41(1):  140-144 .  doi:
    Abstract ( 1358 )   Save
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    Goat Peyer's patch is both central and peripheral immune organ where Blymphocytes origin, develop and maturate. In order to obtain Peyer's patch specially expressed genes, we constructed a subtractive cDNA library using suppression subtractive hybridization from Peyer's patch (PP) and nonPP tissue. Lamb PP tissue was designated as the experimental group (the tester) and the adjacent intestinal nonPP tissue as the control group (the driver). Tester and driver RNA were extracted and then transcribed to cDNA reversely. Two tester populations were created with different adaptors while driver cDNA had no adaptors. Hybridization kinetics led to equalization and enrichment of differentially expressed sequences. Templates for PCR amplification were generated from differentially expressed sequences. Using suppression PCR, only differentially expressed sequences were amplified exponentially. Background was reduced and differentially expressed sequences were further enriched. The PCR products were ligated to TVector. 160 positive clones were obtained and sequenced. Homology analysis showed that a Bcell lineage specific activator protein (BSAP) was among them. The subtractive library and the obtained ESTs will be useful for identifying immuneassociated genes and constructing active protein expression vector.
    Research on transpiration characteristic and stress resistence of different varieties of tea plant
    FANG Yong,WANG Yue-hai,BAO Yu-hai,LI Shen-an andZHANG Xing-li
    J4. 2006, 41(1):  145-148 .  doi:
    Abstract ( 1026 )   Save
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    Based on the observation and study on stomatal conductance and transpiration characteristic of tea leaves, which are sampled from 17 varieties of tea plants induced in Shandong province, some new conclusions are presented. Stomatal conductance of different kinds of tea plant all increase by different degree with plant ages growing, and its general daily changing tendency is generally unanimous and is represented by singleapex curve. Changing tendency of transpiration rates is just same as that of the stomatal conductance. Some tea plant varieties that are suitable for local popularization are selected based on the indexes being synthesized.
    Research on transpiration characteristic and stress resistence of different varieties of tea plant
    FANG Yong,WANG Yue-hai,BAO Yu-hai,LI Shen-an andZHANG Xing-li
    J4. 2006, 41(1):  145-148 .  doi:
    Abstract ( 991 )   Save
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    Based on the observation and study on stomatal conductance and transpiration characteristic of tea leaves, which are sampled from 17 varieties of tea plants induced in Shandong province, some new conclusions are presented. Stomatal conductance of different kinds of tea plant all increase by different degree with plant ages growing, and its general daily changing tendency is generally unanimous and is represented by singleapex curve. Changing tendency of transpiration rates is just same as that of the stomatal conductance. Some tea plant varieties that are suitable for local popularization are selected based on the indexes being synthesized.
    Research on transpiration characteristic and stress resistence of different varieties of tea plant
    FANG Yong,WANG Yue-hai,BAO Yu-hai,LI Shen-an andZHANG Xing-li
    J4. 2006, 41(1):  145-148 .  doi:
    Abstract ( 815 )   Save
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    Based on the observation and study on stomatal conductance and transpiration characteristic of tea leaves, which are sampled from 17 varieties of tea plants induced in Shandong province, some new conclusions are presented. Stomatal conductance of different kinds of tea plant all increase by different degree with plant ages growing, and its general daily changing tendency is generally unanimous and is represented by singleapex curve. Changing tendency of transpiration rates is just same as that of the stomatal conductance. Some tea plant varieties that are suitable for local popularization are selected based on the indexes being synthesized.