Table of Content

25 November 2016, Volume 37 Issue 6

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Limit Theorem and Its Application of Generalized Integral of Function Sequence

XING Jiasheng，YANG Yichuan，WANG Yongjun

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  1-9. 

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XING Jiasheng，YANG Yichuan，WANG Yongjun. Limit Theorem and Its Application of Generalized Integral of Function Sequence[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.001.

The limit problem of function sequence in generalized integral is studied. With the limit theory of function sequence，the limit theorem of Riemann integral function sequence is given within the uniform bounded and inner-closed uniformly convergent function sequence.Undering the conditions of uniform convergence of generalized integral of the function sequence，the limit theorem and control convergent theorem of function sequence integral under the generalized integral are obtained.

Strengthening Half-Discrete Hilbert-Type Inequality with aGeneralized Homogeneous Kernel

NIE Caiyun

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  10-12. 

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NIE Caiyun. Strengthening Half-Discrete Hilbert-Type Inequality with aGeneralized Homogeneous Kernel[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.002.

By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques，by means of a sharpening of Hölder inequality，a half-discrete Hilbert-type inequality with a generalized homogeneous kernel is improved，and some new inequalities are built.

Finite Groups with Just Five Noncenteral Conjugacy Classes

WEN Haifeng，YOU Xingzhong

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  13-16. 

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WEN Haifeng，YOU Xingzhong. Finite Groups with Just Five Noncenteral Conjugacy Classes[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.003.

How the noncentral conjugacy classes of a finite group influence its structure is investigated and the finite groups with just five noncentral conjugacy classes are classified.

Analyticity of a Cauchy Transform on Dichotomous Cantor Dust

LI Hongguang

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  17-19. 

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LI Hongguang. Analyticity of a Cauchy Transform on Dichotomous Cantor Dust[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.004.

A Cauchy transform G(z) defined on dichotomous Cantor dust is proved to be analytic in |z|<1 through Rouché′s  theorem，and its taylor exhibition in z=0 is offered.

Pricing Asian Options in  Markov-Modulated Geometric Brownian Motion Model

LIU Yuanyuan

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  20-25. 

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LIU Yuanyuan. Pricing Asian Options in  Markov-Modulated Geometric Brownian Motion Model[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.005.

The problem of pricing Asian option in a Markov-modulated geometric Brownian motion (GBM) is studied.Under the assumption that dynamics of risky asset is driven by Markov-modulated GBM，we obtain the explicit analytical formula of Asian options with fixed strike price and partial differential equations of Asian options by martingale method and PDE method.

Information and computer

Neural Network Based on Different Error Functions for Solving Linear System of Equations

WANG Sicheng，XIAO Lin，YAN Huiling

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  26-28. 

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WANG Sicheng，XIAO Lin，YAN Huiling. Neural Network Based on Different Error Functions for Solving Linear System of Equations[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.006.

There are many ways to solve a linear equation，and various solving methods will result in different convergence speeds.Two different error functions are designed for one linear equation,and then two gradient neural network models are established according to the gradient descent method.Matlab is used for computer simulation,the solutions of linear equation are given according to the different gradient neural network models,and the feasibility of these two gradient neural network models is confirmed.Finally，the convergence speeds in solving the linear equation are compared.

Parameter Estimation Based a Conjugate Gradient Iteration Algorithm for Controlled Autoregressive Models

HU Zhizeng，LIANG Kaifu

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  29-33. 

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HU Zhizeng，LIANG Kaifu. Parameter Estimation Based a Conjugate Gradient Iteration Algorithm for Controlled Autoregressive Models[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.007.

The auxiliary model is derived for the single-input single-output (SISO) system to reduce computational burden and improve the convergence rate of the new iteration algorithm based on the conjugate gradient.Compared with the interactive stochastic gradient algorithm for controlled moving average models，the proposed new iteration algorithm can give parameter estimates in less steps.In addition，the new algorithm can avoid the inverse of a matrix.The new algorithm is also compared with the biconjugate gradient algorithm.The simulation example shows that the proposed algorithm works quite well.

Imaging Method for Squint SAR with Sparse Down Sampling Data

CHEN Yichang，HU Jing

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  34-37. 

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CHEN Yichang，HU Jing. Imaging Method for Squint SAR with Sparse Down Sampling Data[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.008.

A novel squint synthetic aperture radar imaging method with down sampling echo is proposed to solve the problem of huge SAR data transmission and storage.In this method，the echo is under-sampling in the azimuth，and the migration correction and range pulse compression are firstly performed by traditional Rang-Doppler algorithm，and then the azimuth focusing is completed by smoothed l₀ algorithm according compressed sensing theory.This method can effectively reduce the amount of SAR echo data in sparse scenes，and obtain high resolution 2D imaging results with only 25% of the traditional data size.

Physics and Engineering

Tests of Some Basic Physics by High-Energy Astrophysics and Corresponding Apocalypse

ZHANG Yifang

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  38-44. 

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ZHANG Yifang. Tests of Some Basic Physics by High-Energy Astrophysics and Corresponding Apocalypse[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.009.

Some new researches in astronomy are introduced briefly.The astromagnetic field and possible existence of the electromagnetic general relativity in astronomy are discussed.The high-energy astrophysics and applicability of the Pauli exclusion principle (PEP) are investigated.With some information in astronomy，several problems on the eccentricities of various planets in the solar system and the celestial evolution direction are proposed.The solar neutrino and my model are discussed.The γ-ray burst (GRB) and the lepton-star are researched.Finally，a cosmologic time is discussed.A final destiny of the earth and possible space navigation of human are searched.

Upper Bound Solutions of Supporting Pressure of Deep Tunnels Based on Functional Catastrophe Theory

TANG Chengtie

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  45-49. 

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TANG Chengtie. Upper Bound Solutions of Supporting Pressure of Deep Tunnels Based on Functional Catastrophe Theory[J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(6): 45-49.

The deformation of tunnel roof could be regarded as a process of energy accumulation，and tunnel roof will collapse suddenly when the total potential reach the critical value.According to functional catastrophe theory and upper bound theorem，a reliable failure pattern based on Hoek-Brown failure criterion was established，and the effect of river was considered.By using the boundary conditions and geometric conditions，the functions of detaching curve and the supporting pressure were derived.At last，the supporting pressures of two different sections of Sunanshan tunnel in Louheng highway were calculated in this method，respectively，and the results were compared with the monitoring data，which shows the validity of this way.

Chemistry and chemical engineering

Preparation of Electrochemical DNA Sensors Based on PB-Au Nanocomposites

FENG Chunliang,ZHANG Na,SUN Yue,WANG Yongbin,ZHOU Minghao

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  50-55. 

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FENG Chunliang,ZHANG Na,SUN Yue,WANG Yongbin,ZHOU Minghao. Preparation of Electrochemical DNA Sensors Based on PB-Au Nanocomposites[J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(6): 50-55.

Thionine was firstly electropolymerized on the glassy carbon electrode (GCD) surface,and then prussian blue-gold nanocomposites (PB-Au) and gold nanoparticals (GN) were electrodeposited on modified electrode surface respectively.Finally,DNA probes (ssDNA) were conjugated with GN through Au-NH2 bond,and a DNA biosensor (GCE/PTh/PB-Au/GN/ssDNA) was prepared.The preparation processes of DNA biosensors were characterized by electrochemical impedance spectroscopy (EIS),cyclic voltammetry (CV) and differential pulse voltammetry (DPV).The DNA was detected with the sensor by differential pulse voltammetry (DPV) using methylene blue (MB) as hybridization indicator.The results exhibited linear response (r=0.994) to DNA and slope of curve (-13.4 μA/decade) in the concentration range from 1.0×10^-14~1.0×10^-6 mg/L with a lower detection limit of 1.0×10-14 mg/L.The sensor prepared is sensitive and accurate which makes it applicable not only for gene detection but also for detection of heavy metal ion and organic pollutant.

Separation Technology of Oleanolic Acid in Akebia Trifoliata Peel by Macroporous Resin

ZHANG Xiaoxu，OUYANG Yuzhu，NIE Pengcheng，TANG Ningmei

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  56-61. 

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ZHANG Xiaoxu，OUYANG Yuzhu，NIE Pengcheng，TANG Ningmei. Separation Technology of Oleanolic Acid in Akebia Trifoliata Peel by Macroporous Resin[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.012.

The separation of Akebia Trifoliata peel oleanolic acid with seven commercial macroreticular resins were studied.The results showed that XDA-1 is optimal resin for the separation of Akebia Trifoliata peel oleanolic acid.On the basis of single factor experiments，influences of solid-liquid ratio，adsorption temperature and adsorption time on the oleanolic acid extraction yield were investigated by response surface optimization.The experimental results showed that extraction yield of oleanolic acid is 0.265 6% in solid-liquid ratio for 1∶8 （g/mL），40 ℃ temperature adsorption 315 min.Predictive value of model on oeanolic acid extraction yield was 0.243 2%.Those results conform with the model prediction.

Biological resources

Screening of High Efficiency Potash Feldspar-Solubilizing Bacteria by NTG/UV

PENG Yuyuan，YI Langbo，PENG Qingzhong，PENG Qingjing

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  62-67. 

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PENG Yuyuan，YI Langbo，PENG Qingzhong，PENG Qingjing. Screening of High Efficiency Potash Feldspar-Solubilizing Bacteria by NTG/UV[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.013.

In order to build a bacteria library with large difference genetic background and the Potassium-solubilizing performance，an original Silicate bacteria L18 (Bacillus cereus，KF494191) was selected.It was induced mutagenesis by nitrosoguanidine (NTG) culturing and ultraviolet (UV) radiating.42 mutant bacteria with obviousincreased potassium-solubilizing performance were screened from a large number of mutant bacteria.The K content in fermentation of 2 mutant bacteria (L18-NTG-151,L18-UV-68) were 126.74 mg/L and 121.69 mg/L，which were improved by 63.64% and 57.12% compared with original bacteria L18 (77.45 mg/L).The results show thatboth two methods of NTG or UV can significantly improve the potassium-solubilizing capacity of Bacillus cereus.

Short-Term Effect of Acidolysis on Decomposition of Cinnamomum Camphora Litter

ZHANG Honghui，XUE Yinting，LIN Yonghui，HE Xingbing

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  68-72. 

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ZHANG Honghui，XUE Yinting，LIN Yonghui，HE Xingbing. Short-Term Effect of Acidolysis on Decomposition of Cinnamomum Camphora Litter[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.014.

A 120-day experiment of decomposition was carried out in field using simulated acidolysis of Cinnamomum camphora litter to analyze mass loss，CO₂ release and related microbial enzymes.The results showed that acidolysis did not significantly affect mass loss of litter in the former stage，but mass loss increased with strengthening of acidolysis in the later stage.CO₂ release in degrading litter had not significant difference among each treatment of acidolysis，but related enzymes such as Cx，β-glucosidase，α-amylase，laccase and peroxidase were significantly improved in the treatment of pH was 4.0.In conclusion，acidolysis of acid rain significantly improves the litter decomposition of C. camphora in the short period.

Effects of Different Cuttages on the Yield of Kudzu Vine Root

GU Zhongcun,LIU Yunjiao，CHEN Feng,HUANG Yulian

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  73-77. 

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GU Zhongcun,LIU Yunjiao，CHEN Feng,HUANG Yulian. Effects of Different Cuttages on the Yield of Kudzu Vine Root[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.015.

The bimodal cottage，single horizontal cottage，single oblique cottage were applied to the cultivation of Kudzu vine root.The results show that different cottages have no significant different effects on the total yields of the roots.However，different cottages have obviously different effects on seedling utilization rate.The seedling utilization rate by single node cottage (whether it is horizontal or oblique) is notably higher than that by bimodal cottage.The seedling utilization rate by single horizontal cottage is the highest one，which is up to 93.1%.

Characteristic column.Study on Wuling Mountain Area

Evaluation of Ecoculture Tourism in Aizhai Scenic Spot in Xiangxi

CHEN Nanxi，LUO Tao

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  78-82. 

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CHEN Nanxi，LUO Tao. Evaluation of Ecoculture Tourism in Aizhai Scenic Spot in Xiangxi[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.016.

Evaluation system of ecoculture tourism was established which include three criteria related to environment，economy and society and six indexes with twenty-six core factors.With this system，Aizhai,a scenic spot in Xiangxi，was studied.The results show that Aizhai enjoys exceptional advantage in ecoculture resources，but there are some defects in infrastructure construction and management.Managers should take measures to combine the development of ecological tourism and social development so as to increase the core competitiveness.

Problems and Countermeasures of the Moderate-Scale Management of Kiwi Fruit Plantation in Fenghuang County

TIAN Siwei,WANG Zhenyi,DENG Yali,LIU Sihui,LI Tao,SU Liping

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  83-86. 

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TIAN Siwei,WANG Zhenyi,DENG Yali,LIU Sihui,LI Tao,SU Liping. Problems and Countermeasures of the Moderate-Scale Management of Kiwi Fruit Plantation in Fenghuang County[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.017.

This paper analyses the influential factors for the moderate-scale management of kiwi fruit in Fenghuang county，including the modes of production and management，supporting service，natural and market risks，management technology，and rural financial credit system.The research thus proposes some countermeasures，including promoting the guiding function of professional cooperation，facilitating the leading role of large enterprises and planters，improving technology of the orchard field management and fruit management，and optimizing the rural financial credit system.

Economics

Role of Diligent Independent Directors in Cash Dividend Distribution of Listed Companies

LIU Da，Bing Jun

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  87-91. 

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LIU Da，Bing Jun. Role of Diligent Independent Directors in Cash Dividend Distribution of Listed Companies[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.0018.

Based on the data of the independent directors of A-share companies listed in Shenzhen Stock Exchange from 2010 to 2014，this paper investigates the role of independent director in cash dividend distribution of listed companies.The results show that the more diligent the independent directors are，the more inclined the companies will be to issue cash dividend，but the less dividend will be issued.Therefore，independent directors function as contradiction coordinator，balancing the benefits of all interested parties.

Education and teaching

Challenges and Countermeasures for University Teaching Reform Under the Background of MOOCs

YANG Lin

Journal of Jishou University（Natural Sciences Edition), 2016, 37(6):  92-95. 

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YANG Lin. Challenges and Countermeasures for University Teaching Reform Under the Background of MOOCs[J]. Journal of Jishou University（Natural Sciences Edition), doi: 10.3969/j.cnki.jdxb.2016.06.019.

MOOC has brought many challenges to the university teaching reform，impacting the teaching-dominant teaching concept and putting forward higher requirements for college and university teachers.Under the background of MOOC,it is necessary to adopt corresponding strategies for the teaching reform of Chinese universities,such as establishment of the mechanism of combining traditional higher education and MOOC education,improvement of teachers′teaching ability and teaching methods，establishment of evaluation system based on MOOC platform,and construction of campus culture for teaching.