Table of Content

    25 May 2015, Volume 2015 Issue 3 Previous Issue    Next Issue
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    On the value distribution of complex difference
    Zhou Li-li, Huang zhi-gang, Sun gui-rong
    2015, 2015 (3):  1-8.  doi: 10.3969/j.issn1000-5641.2015.03.001
    Abstract ( 1168 )   PDF (255KB) ( 1692 )   Save
    In this paper, we investigate the value distribution of difference $\varphi_1 (z)=\frac{f(z+c)}{(f(z))^k}-a(f(z))^n$ and \varphi _2 (z)=\frac{\prod\limits_{i=1}^m {f(z+c_i )}}{(f(z))^k}-a(f(z))^n. From the viewpoint of the Nevanlinna theory, we obtained some results in analogy with Picard Theorem.
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    New criteria for oscillation of certain second-order nonlinear dynamic equations on time scales
    YANG Jia-shan,HUANG Jin
    2015, 2015 (3):  9-15.  doi: 10.3969/j.issn1000-5641.2015.03.002
    Abstract ( 1731 )   PDF (270KB) ( 1421 )   Save
    In order to develop and improve the theory about oscillation of dynamic equations on time scales, this paper is concerned with the oscillatory behavior of the following second-order neutral variable delay nonlinear dynamic equation $[A(t)\phi ([x(t)+B(t)g(x(\tau (t)))]^\Delta)]^\Delta +f(t,x(\delta(t)))=0 on a time scale \textbf{T}, where phi (u)=\vert u\vert^{\lambda -1}u$, $\lambda $ is an arbitrary positive constant. By using the calculus theory on time scales and the inequality technique, we establish some new oscillation criteria for the equation. Finally, example is presented to illustrate the effects of our theorems.
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    Analysis on some problems in economic transition by the stable matching theory
    LI Li,XU Chang-le
    2015, 2015 (3):  16-20.  doi: 10.3969/j.issn.1000-5641.2015.03.003
    Abstract ( 1141 )   PDF (341KB) ( 1306 )   Save
    We studied the microcosmic reason of the capital mobility and weakness of marriage by the stable matching theory. It is showed that, in general,overvaluation for economic situation can lead to the damage of stability of such problems, and thus we should keep the condition of sustainable development to form the new normal of economy.
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    Stochastic enumerative algorithm optimization construction scheme of wastewater treatment station
    YANG Sheng-bin, WU Ping, WANG Guo-ming
    2015, 2015 (3):  21-30.  doi: 10.3969/j.issn.1000-5641.2015.03.004
    Abstract ( 993 )   PDF (2724KB) ( 1650 )   Save
    This paper established a mathematical model to find the optimal wastewater treatment station construction scheme,  which could save enterprise's wastewater treatment station cost. It is very important for the enterprises to build wastewater treatment stations. The optimal solution obtained by stochastic enumerative method is the global optimum. The model input variables are simple. In theory,  to obtain the optimal siting program only needs to know the emissions of the wastewater plants and location coordinates.This paper applied the model to simulate calculating two arbitrary structure construction schemes for some factories' wastewater treatment stations,  which tested the rationality and validity of the model.
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    Enumeration of k-colored skew Dyck path
    LU Qing-lin
    2015, 2015 (3):  31-37.  doi: 10.3969/j.issn.1000-5641.2015.03.005
    Abstract ( 1300 )   PDF (256KB) ( 1572 )   Save
    In this paper we study the enumeration of k-colored skew Dyck paths. We first give a counting formula and a recurrence for s_n and the limit of s_n/s_{n-1}. We then give the countingformulas of the $k$-colored skew Dyck paths with semilength naccording to the number of left steps and the number of peaks,
    valleys and double rises
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    Cells of the weighted Coxeter group Cn
    YUE Ming-shi
    2015, 2015 (3):  38-46.  doi: 10.3969/j.issn.1000-5641.2015.03.006
    Abstract ( 1141 )   PDF (360KB) ( 1312 )   Save
    Affine Weyl group (widetilde{C}_n,S) can be seen as a fixed point set of the affine Weyl group (widetilde{A}_{2n},widetilde{S}) under a certain group
    automorphism alpha of widetilde{A}_{2n} with alpha(widetilde{S})=widetilde{S}. Let widetilde{l} be the length function on widetilde{A}_{2n}. The restriction to
    widetilde{C}_n of widetilde{l} on widetilde{A}_{2n} can be seen as a weight function on widetilde{C}_n. In this paper, by studying the fixed point set of the affine Weyl group widetilde{A}_{2n} under alpha, we can give the description of all the cells of weighted Coxeter group (widetilde{C}_n,widetilde{l}) corresponding to the partition bf{2^{n-1}1^3}.
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    Study on the truncated sequential assurance test for a proportion
    HU Si-gui,ZHOU Xiao-jing
    2015, 2015 (3):  47-56.  doi: 10.3969/j.issn.1000-5641.2015.03.007
    Abstract ( 1174 )   PDF (413KB) ( 1560 )   Save
    For the high-cost and destructive sample test of a proportion, such as the acceptance test of missiles hit ratio, the fuze reliability and so on, how to reduce the cost is the focus of management and researching. In this paper, based on the Bayesian analysis for qualification test, a truncated sequential assurance
    test TA for the success/failure success rate P$ was studied,and the design steps of the assurance test TA was also presented.Through the study on the operation characteristic curve (OC) and the average sample number (ASN) curve of the assurance test T A, it shows that when the product quality is on a high level, assurance test TA has an almost equal probability level to pass the acceptance test with the original test T OA; at the same time,it has a remarkable reduction on the average sample number, thus it can greatly reduce product sample test cost. In the end, real example was presented to verify the excellent characteristics of the sequential truncated  assurance test T proposed here
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    Dimensions of maximal adjoint isotropic spaces for classical Lie superalgebras
    WANG Shan-shan,quad SHU Bin
    2015, 2015 (3):  57-66.  doi: 10.3969/j.issn.1000-5641.2015.03.008
    Abstract ( 1246 )   PDF (266KB) ( 1321 )   Save
    For classical Lie superalgebras over complex numbers, this paper gave a notion of maximal strong adjoint isotropic spaces,
    which is an intrinsic nature of complex classical Lie superalgebras.This paper is devoted to the determination of maximal strong adjoint
    is otropic spaces of all kinds of classical Lie superalgebras and their dimensions
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    Central McCoy rings
    WANG Wen-kang
    2015, 2015 (3):  67-79.  doi: 10.3969/j.issn.1000-5641.2015.03.009
    Abstract ( 1025 )   PDF (264KB) ( 1441 )   Save
    Central McCoy rings are a generalization of McCoy rings,and its properties were investigated. We showed that a ring R is central McCoy if and only if R[x] is central McCoy, and if and only if R[x] is central McCoy, where (xn) is theideal generated by xn and n is a positive integer. We get that for a right Ore ring R with Q its classical right quotient ring, if R is central McCoy, then Q is also centralMcCoy.
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    Analyzing reviews for rating prediction and item recommendation
    GAO Yi-fan,YU Wen-zhe,CHAO Ping-fu,ZHENG Zhi-ling,ZHANG Rong
    2015, 2015 (3):  80-90.  doi: 10.3969/j.issn.1000-5641.2015.03.010
    Abstract ( 1351 )   PDF (2298KB) ( 2990 )   Save
    Recommender systems are widely deployed in Web applications that need to predict the preferences of users to items. They are popular in helping users find movies, books, music, and products in general. In this work, we design a method for item recommendation based on a novel model that captures correlations between hidden aspects in reviews and numeric ratings. It is motivated by the observation that a user’s preference against an item is affected by different aspects discussed in reviews. Our method first explores topic modeling to discover hidden aspects from review text. Profiles are then created for users and items separately based on aspects discovered in their reviews. Finally, we utilize logistic regression to model the user item relationship and the rating is modeled as the similarity between user and item profiles. Experiments over real world reviews demonstrate the advantage of our proposal over state of the art solution.
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    Research on OSPF multi constraint routing based on QPSO algorithm
    JIANG Jia-bao,ZHENG Shang-zhi
    2015, 2015 (3):  91-97.  doi: 10.3969/j.issn.1000-5641.2015.03.011
    Abstract ( 838 )   PDF (1321KB) ( 1502 )   Save
    he OSPF network routing problems were solved by the use of the traditional SPF algorithm. Due to not considering the multiconstraint conditions and the effective use of secondary path, once the optimal path occurs to congestion, the network transmission performance will be decreased dramatically. In this paper, the QPSO algorithm was applied to the OSPF network routing planning, used by multiconstraint conditions and combined by the characteristics of OSPF network and a variety of routing parameters, which was effectively improved by the local network congestion and obtained the global optimum fast routing and routing algorithm, and verified the improved algorithm by using the simulation data. The results showed that the proposed algorithm got better improvement than the genetic algorithm and the traditional SPF algorithm in the solution of route planning problem and the network transmission performance.
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    A novel palmprint recognition algorithm based on Curvelet invariant features of the surface
    SHEN Sha-sha
    2015, 2015 (3):  98-104.  doi: 10.3969/j.issn.1000-5641.2015.03.012
    Abstract ( 1243 )   PDF (147KB) ( 2488 )   Save
    Corresponding to the problem of difficult feature extraction , poor stability and large characteristic dimension of palmprint, a novel palmprint recognition algorithm based on Curveletinvariant features of the surface is proposed.We can obtain the stable feature surface though Curvelet transform,which is used to match.This way not only simplifies the operation, such asfeature extraction, image coding and other traditional operation,but also has lower dimension, which leads tohigh stability and fast recognition speed with a high recognition accuracy at the same time. Finally, we use the normalized correlation classifier to measure the similarity. By PolyU palmprint database verification, the equal error rate of our algorithmis only 1.7690% and matching time is 16.6 ms, which demonstrates the effectiveness of the proposed algorithm.
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    Characterization of and insight into the electrochemistry of MoS2
    ZHANG Xian-hui,CHEN Zhen-lian,CHEN Xiao-bo, LI Jun
    2015, 2015 (3):  105-115.  doi: 10.3969/j.issn.1000-5641.2015.03.013
    Abstract ( 1435 )   PDF (839KB) ( 2081 )   Save
    By combining experimental methods with first-principles calculations this article reports the determination of the structural characters of MoS2 in the first discharging and charging cycling, where the first stage phase transformation occurs.The significant voltage plateau at 1.1 V is attributed to lithium
    insertion on octahedral vacancy sites of 2H-Lix MoS2 with lithium concentration (x)up to 0.56, which corresponds with the calculated voltage and phase stability of MoS$_{2}$. However, the ensuing amorphization for $x$ over 1.0 immediately removes the plateau character from the charging curve. Furthermore, we offer a comparison to LiCoO2 to investigate the physical mechanism of the anode and cathode voltaic
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    Synthesis of amphiphilic copolymer PEO-b-PtBA with narrow molecular weight distribution and its hydrolysis
    KAYIRBEK Gulsum,ANAS Hudrat,MUSLIM Arzugul
    2015, 2015 (3):  116-123.  doi: 10.3969/j.issn.1000-5641.2015.03.014
    Abstract ( 1499 )   PDF (2695KB) ( 1582 )   Save
    A group of amphiphilic diblock copolymers PEO45-b-PtBAx(x=28, 35, 53) were synthesized by ATRP using PEO-Br as macroinitiator. Samples were characterized by SEC, 1H NMR, FTIR and TEM. The influence of feed ratio to the control of the structure, molecular weight and molecular weight distributions were discussed. The results showed that, the conversion of tBA was high and the 1H NMR results confirmed the targeted products were synthesized successfully. All three copolymers had a narrow molecular weight distributions (Mw/Mn≤1.07). When the feed ratio of tBA to PEOBr was low, the structures of copolymers could be controlled accurately. The increase of feed ratio of tBA to PEOBr caused broadening of molecular weight distributions and the decreasing of initiating efficiency. The hydrolysis of PEO45-b-PtBA35 to PEO45-b-PAA35 was performed successfully. PEO45-b-PAA35was selfassembled into well dispersed spherical micelles in neutral aqueous solution.
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    Analysis of the impact of landscape pattern change on the river network connectivity based on the spatial auto regression model
    SHEN Jie,ZHAO Jun,SHANG Zhao-yi
    2015, 2015 (3):  124-135.  doi: 10.3969/j.issn.10005641.2015.03.015
    Abstract ( 1330 )   PDF (4261KB) ( 2180 )   Save
    Aiming at the situation that rapid urbanization had weakened river network connectivity, taking Pudong New Area as an example, and applying gridding method of ArcGIS software, this paper analyzes the temporal and special variations of land use and river network connectivity from 1989 to 2010, and detects the indexes of urban landscape pattern that affected river network connectivity using spatial autoregression model. The results are: ① From 1989 to 2010, agricultural land and water area of Pudong New Area were mainly transformed to builtup land. The average values of β dropped from 0.80 to 0.72 while that of γ declined from 0.30 to 0.25. And there existed notable spatial differences between the northeastern and western regions both in land use and river network connectivity. ② The model shows that number of patches (NP) for public building land and mean of patches area (AREA_MN) for water area are the most significant factors that influence river network connectivity. Besides, mean of patches area (AREA_MN) for road and traffic land, largest patch index (LPI) for industrial land, and interspersion juxtaposition index (IJI) of industrial land, residential land and water area also affect the change of river network connectivity.
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    Study of spatial distribution and spread of heavy metals in urban soil based on synthetic PCA model
    JIANG Shi-quan ,LIU Zhong-xia,JIANG Shi-ping
    2015, 2015 (3):  136-145.  doi: 10.3969/j.issn.1000-5641.2015.03.016
    Abstract ( 1103 )   PDF (4879KB) ( 2023 )   Save
    In this paper, soil samples were collected from five different functional areas of a city, and concentrations of eight heavy metals contained in each soil sampling were tested by X ray fluorescence spectrometer. PCA was applied to investigate categories of main heavy metals in contaminated areas and determine the respective contribution of eight heavy metals to contamination in each functional area. Based on output coefficients of the PCA model, the functional relationship between the concentration of each heavy metal and its spatial distribution in each functional area is established and an equation that describes spreading features of heavy metals is constructed. Targets for pollution control and countermeasures can thus be found.
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    Study on the threshold of main factors restricting Jinan large karst springs spewing
    ZHOU Juan,XING Li-ting,TENG Zhao-xia,WANG Li-yan
    2015, 2015 (3):  146.  doi: 10.3969/j.issn.1000-5641.2015.03.017
    Abstract ( 1269 )   PDF (3695KB) ( 1500 )   Save
    Jinan spring groups are famous large karst springs in north China. The interaction of natural factors and human impact had caused a decline in jinan karstic water level. Jinan spring groups began to appear cutoff in 1972, and the cutoff lasted from 1972 to 2002. To protect the jinan springs, some measures, like reducing groundwater exploitation and artificial recharge have been carried out. The result of regression analysis shows that, during that cutoff period, the main reason affecting spring water level is groundwater exploitation, but since 2003, Jinan spring groups have resumed spewing, and groundwater exploitation is no longer a major factor affecting the spring water level. Based on the series dynamic observation data of Jinan springs water level from 2004 to 2012, it is determined that the development degree of Jinan karst is relatively high by the method of dynamic characteristics curve types of karst water level. Through SPSS software, the influence degree on springs water level caused by precipitation and artificial recharge was analyzed. The regression—autoregressive model was built, which shows that the last month precipitation has significant effect on the water level. Using the higher order trend mathematical model about springs water level and precipitation, it is calculated that the monthly precipitation threshold is 26.65~30.73 mm to maintain Jinan spring dynamic stability in dry season. Finally, for spring protection, the paper puts forward that the artificial recharge water quantity is not less than 165 600 m3/d in dry season. Research suggests that springs water level is sensitive to climate change and human activities, and our research results can provide some scientific basis for the jinan springs protection and groundwater recharge. 
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