Table of Content

    25 March 2018, Volume 39 Issue 2
    Mathematics
    Uniform Convergence of Distribution Function Column
    XING Jiasheng,YANG Yichuan
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  1-4. 
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    Considering the uniform convergence of function columns,we prove another form of Dini Theorem,and apply this result to the study of the uniform convergence of the distribution function column of the random variable sequence.Then we point out the central limit theorem and offer two kinds of direct proof methods  for the limit distribution of the random variable sequence of t-distribution.

    Existence of Homoclinic Solution for a Class of Hamilton Systems with a p-Laplace Operator
    HUANG Lili,HE Xiaofei
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  5-9. 
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    By using the variational method and the critical point theory,we prove that the system:〖SX(〗d〖〗dt〖SX)〗(|〖AKu·D〗(t)|p-2〖AKu·D〗(t))+▽V(t,u(t))=f(t)
    has a nontrivial homoclinic solution with more general conditions.

    Application of Invariant Region of Reaction-Diffusion Equations
    WANG Qingqing
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  10-12. 
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    In this paper,we use the definition of invariant region and the method of geometrical construction to find the invariant region of two kinds of reaction-diffusion equations.From the existence of such regions,stable solutions in special cases are obtained.

    Uniformity of Mixed Two-and-Four-Level Factorial Designs Under Lee Discrepancy
    HU Liuping,LIU Jiaqi,WANG Kang,OU Zujun
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  13-16. 
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    The present paper focuses on the uniformity of mixed two-and four-level factorial designs under Lee discrepancy.A lower bound of Lee discrepancy is provided,which can be served as a benchmark to search uniform designs with mixed two-and-four-level in terms of Lee discrepancy.

    Estimation for Multivariate Responses Dimension Reduction Subspaces Based on Cumulative Moment-Generating Function
    WU Lei,GAN Shengjin
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  17-20. 
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    Based on the conceptions of cumulative slicing estimation and moment-generating function for estimation of multivariate responses central dimension reduction subspaces,cumulative moment-generating function which is called CUGF is proposed.Simulation results show that the estimation of the cumulative moment-generating function is better than that of the moment-generating function,and the estimation effect of the modified cumulative moment-generating function increases greatly.

    Pricing of Alternative Options with Constant Parameters
    LI Yizhuo,LIU Lixia
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  21-25. 
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    Considering the pricing formula of the better-of-two call option and worse-of-two option based on the logarithmic rate of return in the constant parameters,we  transform the realistic probability measure into the risk neutral probability measure,and then obtain its analytical pricing formula through the direct calculation.

    Physics and electronics
    Physical Properties of Freon F-22 in External Electric Field
    GUAN Yue,QIN Yushuang,LIU Bohan
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  26-32. 
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    Density Functional Theory  with LSDA/6-31+G(d,p) method is applied to study the total energy,frontier orbital,energy gap,potential energy and the excited state changes of the CHF2Cl molecules in the external electric field.The calculation results show that the total energy of the molecule will decreases,the bond length of  C—Cl decreases,the electric dipole moment increases,the energy gap decreases,the potential energy  decline with the increase of y axis positive electric field.It indicates that the molecule is more likely to be excited in a large electric field.And the excitation energy is a reflection,the excitation energy of molecular can be reduced with the increase of the electric field.With the increase of the external electric field,the UV-visible spectrum of molecules moves to redshift.

    Design of a Novel Amplifier-Based Mixer
    LIU Jing,ZENG Fangyan,LI Yuting,ZHOU Kaiqing
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  33-37. 
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    This paper describes a low-voltage and low-power 2.4 GHz mixer for ISM band wireless applications.The approach is based on a two stage amplifier,and the Gilbert switch stage is inserted between the two amplifier stages.The proposed amplifier-based mixer delivers a remarkable conversion gain of 13 dB with a local oscillator  power of 7 dBm,while consuming only 1.05 mW DC power from a 0.8 V supply voltage.The input-referred third-order intercept point of the mixer is 3.82 dBm,and the chip area is only 0.429 mm2.

    Computer and communication
    Software Programming Ability Evaluation Model Based on FAHP
    LIU Li,WANG Mingyan,GU Baocheng
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  38-43. 
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    A programming ability evaluation model based on Fuzzy Analytical Hierarchy Process for a computer major college student is proposed in this paper.Matlab simulation verifies the validity and feasibility of the proposed algorithm and model.

    Synchronization Control of Fractional-Order Bao Chaotic System and Encryption Simulation
    LEI Tengfei,FU Haiyan,ZANG Hongyan,SU Min
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  44-49. 
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    The complex dynamical characteristics of the  fractional-order Bao chaotic systems are studied.The system is simulated numerically through the Adomian decomposition method with respect to the bifurcation diagram and the maximum Lyapunov exponent (MLE).At the same time,based on the stability theorem,the synchronization controller of the fractional order Bao chaotic system is and  is applied to the fractional-order chaotic system security system,which verifies the effectiveness of the proposed synchronization method and the implementation of chaotic secure communication strategy.

    A Novel Spectrum Sensing Algorithm Based on MED for Cognitive Radio
    WANG Hanrui,LI Manjiang,TANG Pengcheng,YANG Xi,LEI Kejun
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  50-54. 
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    A novel spectrum sensing algorithm based on maximum eigenvalue detection (MED)  is proposed for cognitive radio.Using the recent results of the large dimensional random matrix theory (LDRMT),a new theoretical decision threshold is obtained for MED method.The new decision threshold has more reliable sensing performance and  higher detection probability.Simulation results verify the effectiveness of the new MED algorithm.

    Engineering
    Automatic  Detection of Asphalt Pavement Crack
    TAO Mingxia,QIAN Guang,MA Renan
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  55-58. 
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    The manual detection of the pavement cracks is time-consuming, laborious,and inaccurate.To make up for those disadvantages,a simple and effective automatic detection algorithm is proposed.The results of practical image testing show that this method can fast and precisely detect the cracks in the pavement images,which is beneficial to the classification and location of cracks.

    Biological
    Optimization of Ultrasonic-Assisted Extraction of Flavonoids from Artemisia Princeps Pamp. by Response Surface Methodology
    ZHANG Shan,XIAO Juan,SONG Xiaohui,XIONG Lizhi
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  59-64. 
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    The effects were studied of ratio of material-to-liquid,extraction time,extraction temperature,ethanol volume fraction and ultrasonic power on the extraction rate of flavonoids from Artemisia princeps Pamp..Based on single factor experiments,the method of response surface methodology was used to optimize the extraction process of flavonoids.The results showed that the optimum conditions obtained through response surface methodology were as follows:the material-to-liquid 1∶20 (g∶mL),the extraction time 50 min,the extraction temperature 65 ℃ and the ultrasonic power 200 W.Under the optimal condition,the extraction rate of flavonoids was 2.493%.

    Genetic Diversity of mtDNA D-Loop Sequences in Wujin Pig
    WANG Zhimin,XU Yaou,SUN Yan,YANG Lei,XU Longyang, WANG Yingming,HUANG Weiping
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  65-69. 
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    To reveal the genetic and distribution of the three native pigs of Wujin pig,this paper investigates the mitochondrial DNA D-loop region (mtDNA D) of three native pigs of Wujin pig.The Results showed that 46 polymorphism sites were found in the full length 290 bp.Among them,there are 5 simple informative loci and 37 single polymorphic loci,among which A/G mutation is the main one.Three groups of Liangshan pig (Zhaojue,Meigu,Xichang) clustered together firstly,and then Liangshan pig clustered together with Dahe pig,and finally Liangshan pig clustered together with Kele pig.Three native pigs of Wujin pigs had 2 maternal origins,Dahe pig and Liangshan pig originated in a matriarchal,Kele pig originated from another maternal line.The genetic relationship between Liangshan pig and the Dahe pig is closer.There are two maternal origins.

    Chemistry and chemical engineering
    Synthesis,Structure and Fluorescence Property of a Zinc Coordination Complex Based on a Flexible Ligand 1,5-Bis (2-Ethylbenzimidazole) Pentane
    ZHANG Shuaichao,ZHANG Zhengrui,YU Shuqi,ZHANG Yishu,HAN Chao,WEN Yuanyuan,LI Chen,MENG Wei
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  70-74. 
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    A zinc coordination complex {[Zn2(bep)(ada)2] 2H2O}n has been synthesized based on a flexible ligand 1,5-bis(2-ethylbenzimidazole) pentane (bep) and 1,3-adamantanediacetic acid (H2 ada).Single-crystal x-ray diffraction showed that the complex was a two-dimensional layered structure.Ada2- taked the monodentated and chelating coordination modes,linking Zn1 and Zn2 to form a one-dimensional double chain.Then the chains were further linked by the bep ligand to form the two-dimensional layered structure.In addition,the thermal stability and fluorescence property of the complex were also investigated.

    Preparation of Co3O4 Through Hydrothermal Method and Its Electrochemical Performance
    SHANG Jinyan,WU Xianwen,TANG Yue
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  75-80. 
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    Cobalt nitrate and hexamethylenetetramine as raw material,Co3O4 was prepared through hydrothermal method at different temperature and time.The structure and morphology of the products were characterized by X-ray diffraction (XRD) and scanning electron microscopy (SEM).The results show that the obtained  Co3O4 presents different morphologies with different experimental conditions changing.The galvanostatic charge-discharge,cyclic voltammetry (CV) and the electrochemical impedance spectroscopy (EIS) tests showed that Co3O4  synthesized at 120  ℃ for 24  h has a high initial discharge capacity which is up to 1 176.8 mAh/g,and  it has good stability as well.

    Characteristic column.Study on Wuling Mountain Area
    Evaluation on the Economic Development in Ethnic Areas:A Case Study in Take Xiangxi Tujia and Miao Autonomous Prefecture
    LI Sibei,YOU Xincai
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  81-85. 
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    The economic development in Xiangxi Tujia and Miao Autonomous Prefecture is evaluated with respect to effectiveness,stability,sustainability,and the results show that the economy in Xiangxi Tujia and Miao Autonomous Prefecture has risen steadily during "Twelve-Five" period,and the welfare and sustainability of the economic development have been improved greatly.After analyzing the deficiencies of the current economic development in Xiangxi prefecture,the paper puts forward,some suggestions on speeding up the upgrading of industry,initaiating  innovation,and coordinating the development in urban and rural areas.

    Construction of Financial Supervision Index  System fro Wuling Mountainous Area of Western Hunan
    LI Yangkuo,SHU Xiaohui,GUO Xiaodan
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  86-89. 
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    Based on the goal of financial supervision and the existing problems,this paper constructs the financial supervision index system for Wuling Mountainous Area in western  Hunan.The result of the principal component analysis shows that the constructed bidding system can reflect the financial operation status timely and accurately.The situation suggests that it is necessary to  strengthen the supervision and prevention of systemic financial risks,explore new regulatory models,and effectively integrate financial innovation with financial regulation.

    Medical Science
    Clinical Significance of Detection of Serum MMP-2 and TIMP-2 in Patients with Pulmonary Tuberculosis and Prognosis
    LIU Yan,MA Kangkang,HUANG Zezhi,LI Hui,LUO Kaijun,WANG Xiaohong
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  90-92. 
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    To investigate the pulmonary tuberculosis (PTB) and pathologic changes of matrix metalloproteinase 2 (MMP-2) in serum and tissue inhibitor of matrix metalloproteinase 2 (TIMP-2) content,and provide a theoretical basis for the monitoring of PTB changes in patients with tuberculosis and treatment effect in order to judge,enzyme linked immunosorbent assay (ELISA) method is for the detection of 60 cases of patients with pulmonary tuberculosis and 20 cases without lung disease patients (control group) the contents of MMP-2 and TIMP-2 in serum  and the test of pulmonary function tests.Results showed that pulmonary tuberculosis (MMP-2:157.52±21.04;TIMP-2:185.15±14.08)and chronic fibrocavernous pulmonary tuberculosis(MMP-2:169.48±18.13;TIMP-2:208.60±17.06)were significantly higher than that in normal lung function and other types of TB patients (significant differences were statistically significant (p<0.01)).In patients with PTB change,the proportion of MMP-2 and TIMP-2 gradually approached the normal lung function group as the disease improved.It can be concluded that the relationship between the content of MMP-2 and TIMP-2 has certain clinical value in monitoring and treatment of the two types of tuberculosis,and further research should be done.

    Economics
    The Impact of Subway Commuting Accessibility and Station Distance on Realty Rentals:A Case Study Along Beijing Subway Line 5
    XIANG Zhen
    Journal of Jishou University(Natural Sciences Edition), 2018, 39(2):  93-96. 
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    Comparisons of vertical commuting accessibility and horizontal station distances along Beijing subway line 5 are made regarding the impact of urban rail system on realty rental prices,which indicate that:(1)the closer a property is to the city center,the greater and the more frequent its rent increases,with abrupt increases found for properties within 10 kilometers of the city center;(2)the closer a property is to the station(s),the higher its rent goes,with the mean highest rent and most frequent rent raise found within 500 meters from the station(s).Therefore,investing in real property within 10 kilometers of the city center and 500 meters from the subway station(s) can generate higher return in rentals.

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