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    Uniform Blow-up and Estimation of Boundary-Layer for Nonlocal Parabolic Equations
    LIN Zhiqiang
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 1-9.   DOI: 10.13438/j.cnki.jdzk.2021.01.001
    Abstract1120)      PDF132)       Save
    We consider the properties of solutions of reaction-diffusion system ut-Δu=∫Ωuα1dx∫Ωvβ1dx,vt-Δv=∫Ωuα2dx∫Ωvβ2dx, and obtain the uniform blow-up profiles of solutions, and the estimates of boundary layer.
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    Research Review of Recurrent Neural Networks
    WANG Yuyan, LIAO Bolin, PENG Chen, LI Jun, YIN Yumin
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 41-48.   DOI: 10.13438/j.cnki.jdzk.2021.01.007
    Abstract948)      PDF208)       Save
    Recurrent neural network (RNN) is a kind of neural network with feedback connection in each layer. Because of its storage characteristics, it can process the sequence data which is related before and after input, and can be widely used in the field of text audio, video and so on. But when the input gap is large, RNN has a short-term memory problem, which can not process long input sequences, while long short-term memory (LSTM) can deal with the long-term dependence problem well. Almost all the exciting results based on RNNs have been realized by LSTM since LSTM was proposed, so LSTM has become the focus of deep learning. This review firstly introduces the basic working principle and characteristics of RNN, and then it introduces the principle and characteristics of LSTM and its variants, as well as  the application of RNN and LSTM in various fields. Finally, the future research direction of RNN is proposed.
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    Error Bounds for Linear Complementarity Problem of B-Matrices
    DONG Yingxue, MO Hongmin
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 16-22.   DOI: 10.13438/j.cnki.jdzk.2021.01.003
    Abstract932)      PDF83)       Save
    With the infinite norm range of the inverse matrices of the strictly diagonally dominant M-matrices, the error bounds for linear complementarity problem of B-matrices is studied, and a new estimate of the error bounds is given.
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    Stable Total Duality for DC Composite Optimization Problems
    YANG Ting, XIE Feifei, FANG Donghui
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 23-28.   DOI: 10.13438/j.cnki.jdzk.2021.01.004
    Abstract919)      PDF154)       Save
    By using subdifferential properties, we introduce two new constraint qualifications, and establish some necessary or sufficient conditions for the total duality and the stable total duality between DC composite optimization problem and its dual problem.
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    Mordukhovich Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems
    XIAO Chengfeng, FANG Donghui
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 29-34.   DOI: 10.13438/j.cnki.jdzk.2021.01.005
    Abstract903)      PDF139)       Save
    By using the properties of subdifferentials of function, we introduce a new weaker constraint qualification. Under this constraint qualification, we establish the upper estimates of the Mordukhovich subdifferential of the value function for the parametrized DC composite optimization problems. Then, applications to the conic programming involving DC composite function are given.
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    A Set of Criteria for Nonsingular H-Matrices
    WEI Yingying, LUO Biao, MO Hongmin
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 10-15.   DOI: 10.13438/j.cnki.jdzk.2021.01.002
    Abstract805)      PDF115)       Save
    A set of criteria for nonsingular H-matrices are given according to the relationship between α-chain diagonally dominant matrix and nonsingular H-matrix. Their effectiveness is illustrated by numerical examples.
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    Solving TSP Issue Based on  Improved Harmony Algorithm
    WU Ying, OU Yun, YAO Xuanshi, DING Lei
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 35-40.   DOI: 10.13438/j.cnki.jdzk.2021.01.006
    Abstract766)      PDF250)       Save
    To improve the convergence speed and accuracy of harmony search (HS) algorithm, a dynamic harmony search algorithm (DHSA) by dynamic adjustment probability mechanism is presented in this paper to settle traveling salesman problem (TSP). In simulation, three classic algorithms, which are genetic algorithm (GA), Harmony Search Algorithm (HSA), and DHSA are selected to verify the feasibility by implementing two TSP data-sets bayg29 and ch150, respectively. The results reveal that the DHSA could obtain the shortest path among these algorithms.
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    Performance Analysis of Fifth Order IIR Digital Low-Pass Filter
    ZHOU Xuan, WU Yunwen
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 49-53.   DOI: 10.13438/j.cnki.jdzk.2021.01.008
    Abstract684)      PDF158)       Save
    MATLAB software platform is used to study the performance of the fifth order IIR digital low-pass filter designed by bilinear transformation method. The relationship between the order of digital filter and the maximum attenuation of passband, the minimum attenuation of stopband, the corner frequency of passband boundary and the corner frequency of stopband boundary is derived. At the same time, the transition band and stop band of the filter are further analyzed by combining the system function, z-domain analysis and simulation results. Analysis indicates that: the fifth order IIR digital low-pass filter is a stable system, the phase presents delay in the passband and stopband. When the frequency is 0.25π rad/s, the phase state has reverse mutation, and the transmitted signal envelope collapses and enters the transition band. At this time, the phase presents a leading state. When the amplitude response in the stopband decays to 0, the system signal still has phase change, and  there is still signal in this frequency band.
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    SWOT Analysis of Building Zhangjiajie into a Developed Cybereconomic Place
    DENG Yulu
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 78-82.   DOI: 10.13438/j.cnki.jdzk.2021.01.012
    Abstract497)      PDF367)       Save
    Using the SWOT model, this paper analyzes the advantages, disadvantages, opportunities, and threats of building Zhangjiajie into a developed cybereconomic place. It is found that the advantages of Zhangjiajie include abundant local resources, mature online marketing, and robust  policy support. Insurfficient economic development,inadequate functions of the transportation hub  are also the threats which Zhangjiajie are facing. The recovery of the tourism market, the development of online economy, and the improvement of transportation and logistics system  are the opportunities. The complicated operation and supervision of online economy, the short period of online  effects, the lack of online operation talents, and fierce competition in surrounding areas are threats. In order to further cultivate and develop cyber economy, the city of Zhangjiajie must exploit the potential of  products for online marketing and activate the online marketing efficiency; strengthen the reservior of talents and enhance competitiveness; build a sophisticated regulatory mechanism to avoid regulatory absence; strengthen maintenance system, and consolidate the foundation for development.
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    Influence of the Middle Wall on the Mechanical Characteristics of Frame Bridges
    WANG Jianxing, LI Zhuoyu, SUN Xueqian, SHI Qingyun
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 54-60.   DOI: 10.13438/j.cnki.jdzk.2021.01.009
    Abstract433)      PDF153)       Save
    This paper takes an actual  frame bridge as the engineering background, establishes a model of the bridge under design load, and analyzes the influence of the middle wall on the mechanical characteristics of the frame bridge. Comparative research shows that the extreme values of the top and bottom plates of the frame bridges decrease in vertical displacement, vertical axial force, shear stress; the extreme values of the curvature change and cross-sectional stress of the top plates decrease,  while those of the bottom places increase. The research also shows that the vertical displacement of the top plates is most obviously affected by the middle wall and the shear stress of the bottom plates is lest affected by the middle wall.
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    Advances in diagnosis and treatment of uterine scar pregnancy after cesarean section
    HUANG Liying, ZHANG Yuhua, LIN Tong
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 90-96.   DOI: 10.13438/j.cnki.jdzk.2021.01.014
    Abstract428)      PDF151)       Save
    Study Objective:This article reviews the clinical manifestations and diagnosis and treatment of uterine scar pregnancy after cesarean section in recent years at home and abroad, with a view to providing a reference for gynecologists in the diagnosis and treatment of uterine scar pregnancy after cesarean section.Measurement: Search CNKI, Wanfang, Pubmed and other databases, and use literature tracing and other methods to collect publicly published relevant research on uterine scar pregnancy after cesarean section.Results: The main diagnostic methods are: ultrasound examination, MRI, hysteroscopy, laparoscopy, and histopathological examination are still the gold standard for the diagnosis of CSP. There are many ways to treat CSP. At present, level I evidence has not been proposed, so that there is no specific evidence-based guideline. The current treatment methods are: drug treatment, uterine artery embolization, surgical treatment or multiple treatments. Clinical treatment of CSP patients should clearly identify the type of disease and the advantages and disadvantages of various surgical procedures, combined with comprehensive analysis of the patient's condition, fertility requirements, economic conditions, hospital facilities and other indicators, and select a reasonable surgical method to minimize patient treatment. Risk, obtain a good prognosis and preserve fertility.Conclusion: For the early diagnosis of CSP method has been clear, but the best treatment plan and management guidelines at present has not yet reached a consensus that the uterus after cesarean section scar pregnancy diagnosis and treatment, there is no uniform standard, the most ideal treatment need large sample randomized controlled studies data.
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    Investigation and Exploitation of Edible Medicinal Plant Resources in Xiangxi region, China
    CHEN Jiabei, WANG Lu, LIU Jinyuan, DENG Shanshan, HU Die, CHEN Gongxi
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 66-77.   DOI: 10.13438/j.cnki.jdzk.2021.01.011
    Abstract419)      PDF178)       Save
    In order to understand the current situation of medicinal and edible wild plants resources and development and utilization in Xiangxi region. By means of field investigation and literature review, the family composition, living habits, habitat and distribution pattern, function and utilization of medicinal and edible plants in this area were investigated and analyzed. The results showed that there were 57species of medicinal and edible wild plants belonging to 30 families and 52 genera in Xiangxi region. Among them, Liliaceae, Compositae, Gramineae, Lamiaceae and Rosaceae were the dominant quantitative families, Polygonatum, Lilium, Amygdalus and Ziziphus were the dominant quantitative genera. There are 35 herbaceous plants and 23 woody plants, and herbaceous plants are dominant. Among 21 habitats, hillside, cultivated land, forest and roadside are important habitats for medicinal and edible plants in Xiangxi region. In the distribution pattern, the horizontal distribution pattern of the southern and northern regions is basically uniform. The vertical distribution was significantly different, and the medicinal and edible plants were most distributed in the low mountain area. In terms of function and utilization, there are many functions, parts and methods of medicinal and edible plants. Among them, plants with heat-clearing medicinal and edible health care effect are the most. Plants with edible and medicinal stems accounted for the highest proportion. Most plants are decocted for medicine and cooked in soup/porridge. Xiangxi region is rich in medicinal and edible plant resources and has great potential. The protection, comprehensive research, development and utilization of local medicinal and edible plants should be carried out, and corresponding measures should be taken to promote the development of medicinal and edible plant resources in Xiangxi region.
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    Research Progress in the Relationship Between Intestinal Flora and Its Metabolites and Psycho-Cardiology
    XUE Bingqing, LI Chunyan, ZHU Can
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 83-89.   DOI: 10.13438/j.cnki.jdzk.2021.01.013
    Abstract384)      PDF150)       Save
    Psycho-cardiology refers to cardiovascular disease with mental illness which is attracted growing attention with medical development. In the previous treatment of cardiovascular disease, doctors focused more on organic cardiopathy than on psychological disease of patients. Numerous studies have shown that intestinal flora and its metabolites played a vital role not only in cardiovascular disease, but also in mental and psychological diseases. This article summarizes the influences and mechanism of intestinal flora and its metabolites in the outbreak and development of psycho-cardiology, as well as the potential value in the prevention and treatment of psycho-cardiology to offer new insights into the prevention and treatment of ppsycho-cardiology.
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    Number of 1-Factors in Three Types of 3-Regular Graph
    TANG Baoxiang, REN Han
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 1-4.   DOI: 10.13438/j.cnki.jdzk.2020.06.001
    Abstract352)      PDF273)       Save
    Three types of 3-regular graphs are constructed, and the calculation formulas for the number of 1-factors of these three types of graphs are given by the method of classification and summation.
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    Active Earth Pressure Calculation of Retaining Wall with Hoek-Brown Criterion
    SUN Wangcheng, ZHANG Daobing, JIANG Jin, YU Biao, YIN Huadong
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (1): 61-65.   DOI: 10.13438/j.cnki.jdzk.2021.01.010
    Abstract216)      PDF150)       Save
    Based on the logarithmic spiral failure mechanism of the retaining wall and  the nonlinear Hoek-Brown strength criterion, the earth gravity power, internal energy dissipation rate and active earth pressure power of the retaining wall are calculated by the upper limit analysis method. The analytic formula of active earth pressure of the retaining wall is derived based on the virtual power principle, and the optimal upper limit solution of the active earth pressure is solved by Matlab software. The influence of Hoek-Brown strength criterion, retaining wall and soil parameters on the active earth pressure and stability of the retaining wall are analyzed. The results show that with the increase of disturbance factor, wall back angle, retaining wall height, and soil bulk density, the active earth pressure increases nonlinearly, and the stability of the retaining wall decreases. As the geological strength index, rock mass constant, external friction angle, and uniaxial compressive strength increase, the active earth pressure nonlinearly decreases, and the stability of the retaining wall increases.
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    An Watermarking Algorithm Against Cropping Attack Based on SVD and DCT
    YU Shuaizhen, ZHOU Jian, XIE Daoping
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 21-27.   DOI: 10.13438/j.cnki.jdzk.2020.06.005
    Abstract192)      PDF54)       Save
    In order to improve the anti-attack capability  of watermarking system against cropping attack, this paper presents an anti-cropping watermarking algorithm based on multi-transform domain. The DCT transform is carried out on each segmentation region of the host image and the maximum coefficients of each segmentation region are extracted to form a new matrix. The encrypted watermark information is then embedded into the singular value transformation domain of this matrix. Experiments show that the algorithm can not only fully resist the single cropping attack, it also has  strong resistance to the joint attack of conventional image processing and local cropping. Even after multiple joint geometric attacks, it can still extract clear watermarks.
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    Transient Dynamic Response of Frame Bridge to Train at Different Speeds
    WANG Jianxing, Minabai·Maimaitituerxun, HUANG Yilong
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 51-55.   DOI: 10.13438/j.cnki.jdzk.2020.06.010
    Abstract155)      PDF49)       Save
    With an ordinary concrete frame bridge project as the research object, a numerical model of concrete frame bridge was established with the solid element Solid65 in the finite element analysis software. The deflection-time curve of the mid-span joints of the frame bridge was obtained through transient dynamic calculation and analysis of the complete method, which  reflected the dynamic response characteristics, the displacement characteristics of the frame bridge when the train  passed through the frame bridge at different speeds. The analysis results  showed that 120~150 km/h was the optimal speed interval for the train to  pass through the frame bridge. At this speed interval, the dynamic deflection time-history curve of the frame bridge  tended to be flat, and the maximum deformation of the bridge body  was 1.88×10-2mm which  occurred near the mid-span  before and after the train  passed through the mid-span.
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    Solution of Isochronous Curve Problem
    XING Jiasheng, WU Sang
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 5-10.   DOI: 10.13438/j.cnki.jdzk.2020.06.002
    Abstract148)      PDF119)       Save
    For the solution of isochronal curves with a given isochronal time function and the formula of time for particle to slide down from a certain height along the smooth curve, the problem is transformed into an integral equation solution problem and  Abel transformation is performed for the integral equation. Integral order conversion method is applied to obtian the solution formula, and the solution of the isochronous descent problem is proved out an inverted cycloid.
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    Determination of the Threshold Temperature of Physical and Mechanical Properties of Sandstone Post High Temperature by Machine Learning Algorithm
    LONG Qinyuan, MEI Gang, TIAN Hong, XU Nengxiong
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 45-50.   DOI: 10.13438/j.cnki.jdzk.2020.06.009
    Abstract140)      PDF48)       Save
    In this paper, machine learning algorithm is adopted to determine the threshold temperature of physical and mechanical properties changes of sandstone post high temperature. Based on Python language, SVM and K-means algorithm are employed to classify and cluster sample data, determine the threshold temperature range, and verify the rationality and accuracy of dichotomies. The results show that 1) the threshold temperature range of the sandstone sample is 400 ℃ ~ 600 ℃; 2) there are significant differences on the physical and mechanical properties of the sandstone around the threshold temperature. The physical and mechanical properties of the rock samples are relatively scattered below the threshold temperature range, while the physical and mechanical properties of the rock samples are relatively concentrated above the threshold temperature range.
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    Characteristics  of Tourism Economic Difference and Influencing Factors in Hunan Province
    TANG Yexi, LI Zhihui, ZHOU Shengfang, ZUO Xin, DENG Mingrong
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 91-96.   DOI: 10.13438/j.cnki.jdzk.2020.06.016
    Abstract133)      PDF55)       Save
    Taking 14 prefecture-level cities (prefectures) in Hunan Province as the research objects, using SPSS software to calculate the standard deviation, coefficient of variation, Gini coefficient and nich index, the characteristics and influencing factors of the difference in tourism economy in Hunan Province from 2009 to 2018 are analyzed.The results show that the difference in tourism economy of various cities (prefectures) in Hunan Province is gradually shrinking; the pattern of convergence and dispersion of the inbound tourism economy is more significant; the level of socio-economic development and tourism resources are the main factors affecting the difference in tourism economy.
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    Problems and Innovative Development Path of Wuhan Marathon
    LI Li
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 74-79.   DOI: 10.13438/j.cnki.jdzk.2020.06.014
    Abstract126)      PDF46)       Save
    This paper studies the problems of Wuhan marathon. The results show that the number of participants in Wuhan marathon needs to be expanded, the event items and activities content are relatively single; the air quality needs to be further improved; the financing channel of the event is single; and the derivatives of the event are not rich. On the basis of these, the paper puts forward some suggestions, such as strengthening the supply side reform of the event, enriching the event and activity content, strengthening the management and monitoring of air quality, strengthening the commercial awareness, broadening the source of competition funds, and building a complete industrial system of events.
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    Control Strategy of Induction Wind Power Generator System with Full Rated Inverter
    PAN Liqiang, LI Juan, YANG Gaocai, YU Hu, HOU Yiling, XU Binkun
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 37-44.   DOI: 10.13438/j.cnki.jdzk.2020.06.008
    Abstract125)      PDF65)       Save
    For smooth operation of the power system regardless of the various wind speed and system ground faults, the full rated inverter is applied in wind generator. This inverter has double loop control on both grid side and generator side. It is note that the voltage closed-loop control as an innovative use is attributed for grid side control. The pitch angle controller is designed to meet both various wind and system faults according to the input signal. Simulations for evaluated the performance are conducted and the results verify that the proposed control strategy with the high efficiency satisfies requirements both WT control and the quality of the power grid.
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    Simulation of IC Bus Technology Based on Proteus
    XIANG Jiwen
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 32-36.   DOI: 10.13438/j.cnki.jdzk.2020.06.007
    Abstract122)      PDF29)       Save
    The hardware connection and data transmission protocol of IC bus are studied, and a simulation circuit with three IC memories is designed. The main controller adopts single chip microcomputer and the control program is written in assembly language. Proteus  simulation test shows that the result is correct.
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    A Review of Chinese Agricultural Product Brand Based on Mapping Knowledge Domains
    SHI Xiaochun, WEN Hao, WANG Jingjing, CHEN Chen
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 80-90.   DOI: 10.13438/j.cnki.jdzk.2020.06.015
    Abstract120)      PDF87)       Save
    Based on the relevant theories of mapping knowledge domain, the literature concerning Chinese agricultural product brands realized visible analysis by CiteSpace software and the hot element, evolution process and trend of agricultural product brands research were analyzied by Netdraw software which described The results illustrated that the focuses were brands attribute structure and effectiveness, brand evaluation, brand constructin. The evolution path of the research content reflects the characteristics of different stages, which conforms to the adjustment of national policies and changes of economic and social development. There are few scholars and institutions specializing in agricultural products bands research. The close cooperation was not set up among these scholars and institutes. Future research should further improve the basic theory and research method of agricultural products brand, expand the depth and breadth of agricultural products brand research, and establish a close academic research network.
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    Prediction of Cultivated Land Quantity in Yongding District, Zhangjiajie
    CHEN Ming, XIE Huan, PENG Xinzhu, ZHOU Yajin, TAN Yunxian, ZHUANG Dachun
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 70-73.   DOI: 10.13438/j.cnki.jdzk.2020.06.013
    Abstract119)      PDF48)       Save
    Taking Yongding District, Zhangjiajie as an example, based on the analysis of the current characteristics of  cultivated land utilization and the dynamic changes, the paper defines  three objectives of reserving  cultivated land, namely food security, economic security and ecological security. Using the methods of food security method, supply-demand balance and trend extrapolation method to predict the prospective cultivated land quantity under the single target restriction in 2020,2030 and 2035, the Analytic Hierarchy Process (AHP) is used to assign the weights of the prediction results, and a multi-objective combined model is established. The total cultivated land tenure in Yongding District in 2020,2030 and 2035 is 30 423.35,29 515.76,29 321.66 8hm respectively. This indicates that the overall trend of reduction of cultivated land  is decreasing.
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    Hyperbranched Polytriazole Solid Polyelectrolyte and Its Li-Ion and Zinc-Ion Conductivity
    OU Xiaoying, LIU Ben, WU Jianhua, PENG Xiaochun
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 61-69.   DOI: 10.13438/j.cnki.jdzk.2020.06.012
    Abstract112)      PDF78)       Save
    Hyperbranched polymer with rigid structure usually have good solubility, low viscosity and outstanding mechanical properties, which could be used to prepare solid electrolyte. Hyperbranched polytriazole (hb-GPTA) was synthesized due to azide-acetylene click chemistry reaction of alkynyl-based monomer M1 and azido-contained monomer M2 with catalysis by Cu(I). The hb-GPTA exhibited good solubility, film formation property, and thermostability (the thermal decomposition temperature is 35 ℃). The hb-GPTA was doped with LiTFSI and Zn(OTf)2 respectively to prepare solid electrolytes whose electrochemical properties were characterized. The results demonstrated that LiTFSI doped polymer had higher conductivity of 3.27×10-5 S/cm and the electrochemical window is 5.2 V, while the Zn(OTf)2 doped polymer exhibited lower conductivity of 4.20×10-7 S/cm but remained stable within the voltage range of -1~ 6V. It could be inferred that polymer with triazole has potential application value in making zinc batteries together with electrochemical stability analysis.
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    Time Series Transformation Algorithms Based on Complex Networks
    HE Maoyu, ZHOU Yin, ZHOU Jingxi, SHEN Li
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 28-31.   DOI: 10.13438/j.cnki.jdzk.2020.06.006
    Abstract109)      PDF82)       Save
    To improve classic visibility algorithm of transformation from time series to complex networks, this paper proposes maximum value split algorithm and convex hull algorithm and applies them in the fractal Brown time series respectively. Experimental results show that improved algorithm can reduce time complexity remarkably.
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    On a Strengthened Half-Discrete Hilbert-Type Inequality Related to the Riemann Zeta Function
    NIE Caiyun
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 11-14.   DOI: 10.13438/j.cnki.jdzk.2020.06.003
    Abstract103)      PDF52)       Save
    With weight function, Hermite-Hadamard’s inequality, and a strengthened Hlder inequality, a half-discrete Hilbert-type inequality in the whole plane with the kernel of hyperbolic cotangent function and multi-parameters is improved. Some new inequalities are built.
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    Fréchet Subdifferentials of the Value Function for Parametrized Composite DC Optimization Problems
    XIAO Chengfeng, HU Lingli
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 15-20.   DOI: 10.13438/j.cnki.jdzk.2020.06.004
    Abstract97)      PDF81)       Save
    By using the properties of subdifferentials, we introduce a new weaker constraint qualification. Under this constraint qualification, we establish the upper estimates for the Fréchet subdifferential of the value function for the parametrized DC composite optimization problems.
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    Arrangement Improvement on Level Table of Orthogonal Test Factor#br#
    WANG Saiqun, YIN Xiaohong
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 97-100.   DOI: 10.13438/j.cnki.jdzk.2020.06.017
    Abstract96)      PDF25)       Save
    According to the investigation, it is found that there are some problems in the arrangement of the orthogonal test factor level table in the literature, such as the inaccurate table title, the Irregular Arrangement Format of the Item Column Information, the wrong column in the first column from the left, the relationship between the column and the table data does not conform to the requirement of uniformity, the factor symbol is regarded as the quantity symbol and arranged in Italics, etc. . In view of the above problems, some suggestions are put forward: taking "the level of the factors" as the table title; using parentheses to indicate the coincident relationship of the factors and their symbols, i. e. , arranging them in the form of "temperature (a) " ; Change the column "factor" to "level" ; the factors are listed correctly; the rest are arranged according to the table routine. The method accords with the editing and proofreading standard, greatly simplifies the form design, and provides reference for the standard layout of the table in books and periodicals.
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    Proof That  n-Dimensional Normally Distributed Linear Functions Obey Normal Distribution
    XING Jiasheng, YANG Yichuan, WU Sang
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 1-5.   DOI: 10.13438/j.cnki.jdzk.2021.03.001
    Abstract87)      PDF26)       Save
    A method is given to prove that the n-dimensional normally distributed linear functions obey normal distribution. First,  the n-dimensional normally distributed linear function is expressed as the linear function of the n-dimensional standard normal distribution by the transitivity of linear transformation. Then, the linear function of n-dimensional normal distribution is proved to obey normal distribution by using the property that the linear functions of mutually independent normal distribution obey normal distribution.
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    Simulation of Insulator Contamination Characteristics Based on CFD
    CHEN Guangsi, NIU Yibo, XI Yun
    Journal of Jishou University(Natural Sciences Edition)    2020, 41 (6): 56-60.   DOI: 10.13438/j.cnki.jdzk.2020.06.011
    Abstract84)      PDF62)       Save
    In order to study the contamination characteristics of insulator at different voltages, the wind flow field and electric field in sandstorm were simulated based on fluid mechanics theory and electric field theory. The research shows that contamination of insulator is different at different voltages. When the flow velocity around the insulator is small, the voltage at both ends of the insulator increases, which will lead to the increase of the contamination quantity, and the contamination is closely related to the change of electric field force. When the surrounding flow velocity is large, even if the voltage increases, the contamination quantity will not change too much.
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    Design  of Surface Garbage Cleaning Robot
    JIANG Xiaoyu, CHEN Jialiang, ZHOU Haolan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 41-44.   DOI: 10.13438/j.cnki.jdzk.2021.03.007
    Abstract59)      PDF20)       Save
    At present, the pollution of the waters is very serious and is of great concern to the general public. In particular, inland lakes, such as: campuses, community viewing lakes, scenic areas to play with the lake, the prevalence of water garbage difficult to clean up and safety issues. Now the treatment of these surface garbage is basically to take artificial salvage mode, this treatment has great safety risks, and time-and-effort, so the surface garbage cleaning robot came into being. Based on the ardoino uno board as the main control core, this design uses Bluetooth module connection control, including control devices, power units, collection devices and storage devices. The use of conveyor belt to collect garbage instead of the traditional salvage mode, with fast salvage speed, low labor intensity, high efficiency characteristics, and low cost, small size, high efficiency, has a strong practicality.
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    Preparation of Li 3 V 2 (PO 4 ) 3 /C Composite Material Using Acetylene Black as Carbon Source
    LIU Saiqiu, JIANG Youliang, ZOU Qiuling, MA Boran, XIANG Yanhong, WU Jianghua, XIONG Lizhi, WU Xianwen
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 73-78.   DOI: 10.13438/j.cnki.jdzk.2021.03.013
    Abstract48)      PDF24)       Save
    In this paper, Li 3 V 2 (PO 4 ) 3 /C material is successfully prepared by the simple sol-gel method and treated by further calcining. The effect of carbon coating on the morphology, structure and electrochemical performance of the material is comprehensively investigated. It's demonstrated that the monoclinic structure (P21/n) of Li 3 V 2 (PO 4 ) 3 /C retains complete after carbon coating. The sample with 7 nm coating layer presents excellent crystallinity, which coated by 2 times contents (C20-LVP) of carbon. The electrochemical performance has been improved a lot, with its discharge capacity increasing to 120.3 mAh/g compared with 103.6mAh/g of the sample without carbon coating(C00-LVP). In addition, a good retention rate of 91% can be obtained, since the discharge ratio can achieve 104.5 mAh/g the after 60 cycles.
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    Landscape Classification of Dehang Scenic Spot in Hunan Province
    LIU Bing, XIANG Xiaomei, TAN Lu, CHEN Gongxi
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 63-69.   DOI: 10.13438/j.cnki.jdzk.2021.03.011
    Abstract47)      PDF23)       Save
    This paper aims to identify the landscape characteristics and distribution rules of Dehang Scenic Spot in Hunan Province. By using the aerial map and field survey results, the landscape was classified into different types according to the principle of comprehensiveness, dominant factors and hierarchy. Human disturbance intensity and habitat were used as indicators. The results showed that: (1) The landscape of Dehang Scenic Spot could be divided into 4 landscape classes of 16 landscape types. The natural landscape class contained the most landscape types and distributed widely in the Dehang Scenic Spot, with high plant diversity. The semi-natural class and semi-artificial landscape class were under the intense human disturbance and had low plant diversity, but they had too much relativity with human life. The artificial landscape class mostly presented the regular spatial layout. The Miao nationality wooden architecture was dominant in this class, which embodied the unique national culture of this region. (2) Taking the natural landscape of sun-facing soil slope as the matrix, the landscape types in Dehang Scenic Spot gradually decreased with the widening of the terrain from north to south. Among them, Dehangcun Scenic Area, Donghe Scenic Area and Qiabihe Scenic Area had the most abundant landscape types, but the landscape characteristics of them were quite different. Based on the landscape characteristics and distribution rules of Dehang Scenic Spot, the suggestions were put forward in order to provide a scientific basis for the effective protection and rational use of landscape resources and set the foundation for the study of landscape ecology and the relationship between landscape diversity and plant diversity in this area. Besides, we also hope that this article could provide a new idea and reference case for the selection of classification indicator in the small and medium-scale landscape.
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    Existence of Solutions for Boundary Value Problems of  Hilfer-Hadamard Type Fractional Differential Equations
    DUAN Lijing, XIE Jingli, LIU Hanyan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 6-12.   DOI: 10.13438/j.cnki.jdzk.2021.03.002
    Abstract47)      PDF25)       Save
    The existence and uniqueness of solutions for a class of three-point boundary value problems of fractional differential equations with Hilfer-Hadamard type fractional derivatives are studied. With Leray-Schauder alternative theorem and Banach fixed point theorem, the results for the existence and uniqueness of solutions for the boundary value problems are obtained.
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    New Estimate of Error Bounds for Linear Complementarity Problems of B S-Matrices
    ZHOU Cuiling, MO Hongmin
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 31-37.   DOI: 10.13438/j.cnki.jdzk.2021.02.006
    Abstract46)      PDF16)       Save
    According to the special structure and properties of BS-matrices, new error bounds for the linear complementarity problem of B S-matrices is improved by using the infinite norm range of inverse of a strictly diagonally dominant M-matrix and the scaling technique ofinequality. The validity of the new estimate is verified by theoretical analysis and numerical example.
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    Quantum Network Monitoring Based on Teleportation
    HUANG Shangjiang, ZHOU Xiaoqing, HU Xiaohuan, LUO Weidong
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 38-44.   DOI: 10.13438/j.cnki.jdzk.2021.02.007
    Abstract46)      PDF16)       Save
    Based on the characteristics of teleportation and classical information transmission, the transmission process of multi-pair entangled particle invisible state transfer network is designed with both sides of communication as the research object.To ensure that the transmission is reliable, a quantum cloning machine is used to copy and backup the quantum states, and then the information is transmitted. Considering that the third party cannot directly monitor the quantum information in the quantum channel, a method for the third party to calculate the number of data frame bits in the data link layer and a method to receive IP datagrams in the network layer is designed to indirectly realize the monitoring of the user, while solving the problem of user monitoring by the NSA for the information  transmission security and the problem of charging by the telecommunication company for the user's communication time and communication traffic.
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    Third Order Hankel Determinant for the Inverse of Starlike and Convex Functions
    SONG Yuan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 12-19.   DOI: 10.13438/j.cnki.jdzk.2021.02.003
    Abstract41)      PDF17)       Save
    Let S* be the class of functions f univalent in the unit disk Δ={z:|z|<1} such that Re zf′(z)〖〗f(z)>0 (z∈Δ) and let K be the class of functions f univalent in the unit disk Δ={z:|z|<1} such that Re (1+zf″(z)〖〗f′(z))>0 (z∈Δ). Using Toeplitz determinant, we obtian the upper bound of  the third order Hankel determinants for the inverse functions of f∈S* and f∈K.
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    A New Distribution Record of Meehania zheminensis in Wuling Mountain,China
    LYU Heng, WANG Benyan, ZHANG Cheng, LIU Qun, ZHANG Daigui
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 70-72.   DOI: 10.13438/j.cnki.jdzk.2021.03.012
    Abstract40)      PDF27)       Save
    Reported a new record of Meehania zheminensis A. Takano, Pan Li & G.-H. Xia, which is similar to Meehania montis-koyae Ohwi a endemic species of Japan. M. zheminensis has been found and identified as M. montis-koyae at first in Zhejiang and Fujian provinces of China, believed M. zheminensis is a new species based more genetic and mor-phological data. This species is a new record of Wuling Mountain and also in Guizhou, Hunan and Hubei Province. All the voucher specimens were preserved in Herbarium of Jishou University (JIU).
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