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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
    Abstract324)      PDF220)       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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    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
    Abstract246)      PDF489)       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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    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
    Abstract213)      PDF93)       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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    Calculation Formula of Perfect Matching Number of Two Types of Graphs
    TANG Baoxiang, REN Han
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 1-3.   DOI: 10.13438/j.cnki.jdzk.2021.04.001
    Abstract161)      PDF159)       Save
    Two new types of graphs mTn and mKn,n are constructed. Using the classification nested recursion method, the counting formulas for different 1-factors of graphs mTn and mKn,n are given.
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    Design of Real-Time Plant Growing Environment Monitoring System Based on Mobilephone App
    LI Deying, QIU Yangfan, YI Tao, XIAO Yiyang
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 21-28.   DOI: 10.13438/j.cnki.jdzk.2021.03.004
    Abstract154)      PDF149)       Save
    In view of the difficulty in monitoring the temperature and humidity of plant growth environment, a remote real-time monitoring system for air temperature and humidity and soil humidity is designed. The system uses stm32f103c8t6 microcontroller as the microprocessor, collects air temperature and humidity and soil humidity through temperature and humidity sensor, and then uploads the collected data to the mobile phone through Wi-Fi module, and transmits the data to the cloud server through the mobile phone App, so as to realize the remote real-time monitoring of environmental temperature and humidity. The simulation results show that the monitoring system has strong real-time performance and high intelligence, which meets the requirements of temperature and humidity control of plant growth environment in agricultural production.
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    Hemiboea gracilis Franch. var. guixiensis: A New Variety of Gesneriaceae from Hunan,China
    TAN Lu, XIANG Xiaomei, LIU Bing, CHEN Gongxi
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 61-64.   DOI: 10.13438/j.cnki.jdzk.2021.02.011
    Abstract144)      PDF96)       Save
    A new variety of Gesneriaceae, Hemiboea gracilis Franch. var. guixiensis G. X. Chen, X.M.Xiang et L. T var. nov. from Hunan Province of China is described. The new variety is similar to the typical variety ( Hemiboea gracilis Franch.) in morphology. But further observation showed that the new varietystems is sparsely pilose, leaf sides and petiole are densely bristly, except the inside of the flower, the rest is densely pilose, the fruit tips are sparsely pilose. Therefore, they are easy to distinguish.
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    Exploration of TCM Talents Training Model Based on Informationized Knowledge Management System
    SHI Ruiwen, LI Hao, GUO Yi, LIU Haigen, CHANG Wenlu, JIN Ximing, TANG Sisi, HU Jianfeng, PENG Cuiling, SHI Xiaoyue
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 92-96.   DOI: 10.13438/j.cnki.jdzk.2021.03.016
    Abstract144)      PDF83)       Save
    The cultivation of TCM talents is the "core competitiveness" of the development of TCM hospitals and TCM hospitals in the new era. The modern information knowledge management mode is the use of information technology to deeply explore the tacit knowledge and explicit knowledge of the famouse TCM doctors.Using network storage,system development andthe convenience of resource sharing to explore the training methods of top talents of TCM with wider application, more flexible forms and more operability.
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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
    Abstract139)      PDF67)       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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    Watermarking Algorithm Based on 3D Wheelbase
    TANG Han, CHEN Liuyang, LU Rongbo
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 29-33.   DOI: 10.13438/j.cnki.jdzk.2021.03.005
    Abstract134)      PDF80)       Save
    In order to obtain watermarking with superior robustness and invisibility, a watermarking algorithm based on 3D wheelbase is proposed. Firstly, the watermark image is encrypted by calculating the encryption technology of ghost imaging, then the 3D wheelbase of the image is defined on the basis of 3D histogram, and the set of all pixel points when the wheelbase is maximum is obtained. Finally, the best point in this set is found as the embedding position of the watermark through particle swarm optimization algorithm. Simulation experiments of robustness and invisibility  show the effectiveness of the proposed algorithm.
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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
    Abstract131)      PDF83)       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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    Existence Theorems for Parabolic Sections of Quadratic Surface
    AN Bailing, ZHANG Deyan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 13-20.   DOI: 10.13438/j.cnki.jdzk.2021.03.003
    Abstract131)      PDF83)       Save
    First, the necessary and sufficient conditions for the existence of parabolic section of a quadratic surface are given according to the parameter equation of the parabola. Secondly, the necessary and sufficient conditions for the existence of parabolic sections, which are parallel to the coordinate plane and  the z-axis and intersecting with the z-axis, are given respectively with combining the projection equations of the parabola and its invariant. Finally, the existence problem for parabolic sections of five typical quadratic surfaces is discussed.
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    Design of Multifunctional Desk Lamp Control System Based on Bluetooth
    TAO Zengjie, YUAN Keke, LI Shiyou, FU Dingyuan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 56-60.   DOI: 10.13438/j.cnki.jdzk.2021.02.010
    Abstract128)      PDF73)       Save
    A multifunctional desk lamp control system based on bluetooth is designed. First, the light sensor detects the intensity of light. The infrared sensor detects the person. The ultrasonic sensor detects the distance between the person and the lamp. These signals are transmitted to the microcontroller unit which compares the detected signals with the set values. It analyzes the signals to determine whether the light is on or off, adjusts the brightness and gives an alarm. At the same time, the corresponding parameters are displayed on the OLED and the bluetooth terminal. The terminal can also control the desk lamp. Through on-line testing with bluetooth, the system is powerful  and stable.
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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
    Abstract127)      PDF73)       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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    Application of Monte Carlo Algorithm in Heat Transfer Model of Protective Clothing
    LIU Qianlan, LEI Yihui, XIAO Yujiang, DONG Yaling
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 52-56.   DOI: 10.13438/j.cnki.jdzk.2021.03.009
    Abstract127)      PDF106)       Save
    Accurate establishment  scientific heat transfer model for thermal protective clothing can reduce the costs and shorten the cycle of research and development. Therefore, a preliminary temperature distribution model is established based on  heat conduction principles, and Fourier's law and is modified by retardation factors  with controlling parameters. Monte Carlo algorithm is then applied to obtain the relevant parameters in the temperature distribution model according to the experimental data.Finally, an excellent heat transfer model of protective clothing is obtained.
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    Accurate Demand Analysis and Prediction for New Retail Target Products
    LANG Hong, CHANG Xiao, LI Qin, SONG Guofeng
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 87-91.   DOI: 10.13438/j.cnki.jdzk.2021.03.015
    Abstract127)      PDF82)       Save
    Firstly, the factors influencing the sales volume of SKC (Stock Keeping Color) of retail products and their effectiveness are studied with SPSS and R softwares, combined with one-way ANOVA and deep regression analysis. Then, the sales volume of a target subcategory is predicted in grey model with R software, and the accuracy of the prediction data is obtained with Excel software combined with the mean absolute percentage error method. Finally, the prediction model is used to predict the sales and inventory of a target category. The results show that the sales method has a significant effect on the SKC sales volume of retail products; the factors influencing the SKC sales volume of retail products include inventory, discount and selling price; the average absolute percentage error of the target subcategory in each week is mostly less than or equal to 1, and the smallest is 0, which can be considered as a high prediction accuracy of the model. The prediction results of the future sales and inventory of a target subcategory show that the supply of this subcategory is obviously higher than the demand, and the inventory management strategy needs to be adjusted appropriately.
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    Tourism Perceived Image of Characteristic Villages Based on Network Text Analysis:Take Wuling Mountain Area in Hunan Province
    CHEN Le, XIAO Lulu
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 79-84.   DOI: 10.13438/j.cnki.jdzk.2021.02.014
    Abstract125)      PDF83)       Save
    The tourism image of characteristic villages is an important basis to test and measure the tourism destination of characteristic villages. Taking Wuling Mountain Area in Hunan Province as an example, this paper uses Python web crawler technology to obtain travel notes and comments from websites such as wasp nest and Ctrip, and uses Rost content mining software to analyze the text with high-frequency feature words, semantic network and emotion, so as to study the tourists' perception of the tourism image of the scenic spot.The research conclusions are as follows: (1) 162 high-frequency words are extracted from 128 travel notes, and the words ranked in the top 60 indicate that tourists focus on "village landscape", the semantic network matrix of high-frequency words takes the village as the core, and other characteristic words diverge around; (2) Tourists' cognitive image of characteristic village tourism mainly includes village image, tourism attractions, village facilities and services; (3) Tourists' perception of the village tourism image in Wuling Mountain Area of Hunan Province is mainly positive emotion, and the negative emotion mainly comes from the imperfection of the village's road traffic, health environment and other infrastructure.
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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
    Abstract124)      PDF75)       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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    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
    Abstract122)      PDF63)       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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    Proof Converges with Probability That the k-th Order Central Absolute Moment of the Sample
    XING Jiasheng, YANG Yichuan, WU Sang
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 4-8.   DOI: 10.13438/j.cnki.jdzk.2021.04.002
    Abstract121)      PDF196)       Save
    Considering the problem of convergence in probability of the k-th order center absolute moment of the sample, using Khinchin’s law of large numbers and the property of convergence in probability of random variable sequences, through inequality scaling techniques, the concrete proof is given that the k-th order central absolute moment of the sample converges with probability to the k-th order central absolute moment of the population.
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    Implementation of Fish Eye Image Correction Based on Bicubic Interpolation
    ZENG Qingli, HONG Zhiwei, DING Lei
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 45-49.   DOI: 10.13438/j.cnki.jdzk.2021.02.008
    Abstract118)      PDF54)       Save
    firstly, the parameters of fisheye lens imaging model are calibrated by the calibration board,  specific fisheye lens image distortion correction model is established, and then the fisheye image is corrected by using the model. Secondly, the non feature points are interpolated by bicubic interpolation method, and good correction effect is achieved. Bicubic interpolation algorithm can solve the problem of image distortion caused by fish eye lens, and has a good application prospect in the field of vision navigation and monitoring.The main research steps are as follows: (1) calibrate the fisheye image with a self-made planar calibration plate; (2) restore the distorted fisheye image to the perspective image satisfying the visual effect of human eyes by using the calibrated lens distortion parameters.
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    Classification Standard for One-Year Seedling of Phellodendron chinense
    LIU Nianyuan, ZHONG Qingshan, XIANG Zuheng, PENG Xianfeng, ZENG Huijie, XIANG Hua, XIANG Ming, XIANG Caihai, HUANG Zhengming
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 65-71.   DOI: 10.13438/j.cnki.jdzk.2021.02.012
    Abstract116)      PDF65)       Save
    Aiming to instruct the field management and to push the normalization and standardization of Phellodendron chinense Schneid seedling cultivation, the critical values for classification of 1 year’s old Phellodendron chinense Schneid seedlings were determined using materials of 2 564 plants in 72 sample plots with 1 m×1 m size in Dan township, Longshan county, Hunan province according to quality indexes of ground diameter (D) and height (H) of seedling with K-average value clustering method and standard deviation method. The comprehensive evaluation result was as fellows, the standard for class Ⅰ seedling was D≥1 cm and seedling H≥100 cm, and class Ⅱ seedling was 0.6~<1 cm for D, and 60~<100 cm for seedling H, and class Ⅲ seedling was D<0.6 cm and seedling H<60 cm. According to this standard, the proportion of class Ⅰ and class Ⅱ of Phellodendron chinense is 64.8%.
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    Temporal and Spatial Variation of Grade City Construction in Wuling Mountain Area
    ZHANG Jingheng, WU Jilin, ZUO Jinyou, XIAO Yuchun
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 79-86.   DOI: 10.13438/j.cnki.jdzk.2021.03.014
    Abstract114)      PDF71)       Save
    This paper takes the six central cities in Wuling Mountain Area as the research object, constructs the evaluation index system of grade city construction consisting of four grade factors including economy, society, culture and environment and 24 indexes, determines the index weight by entropy weight method, and analyzes the temporal and spatial evolution of grade city construction by TOPSIS and GIS. The results show that in the urban construction of the six central cities in Wuling Mountain Area, the average closeness degree from high to low is: Jishou City, Enshi City, Tongren City, Huaihua City, Qianjiang District, Zhangjiajie City. In terms of time dimension, the urban grade of Enshi City and Huaihua City decreased year by year, while the change of Zhangjiajie City, Jishou City and Qianjiang District was small, and Tongren City improved greatly. In terms of spatial dimension, the pattern of economic, social, cultural and environmental grade is slightly different, and the development pattern of different grade factors is different. The overall grade changes from "high in the central part, low in the two wings" to "high in the northwest, low in the southeast", and finally forms a development pattern of "high in the central part, low in the north and south". Finally, in order to promote the high quality development of the city in Wuling Mountain Area and improve the city grade, the paper puts forward suggestions  from four aspects: economic construction, social facilities, cultural strength and ecological environment.
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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
    Abstract113)      PDF88)       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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    Analysis of Special Structure of Song-Style Second Grade Dovetail Tenon
    WANG Jianxing, GAO Ruxin, YANG Duan, HE Jiaxin
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 45-51.   DOI: 10.13438/j.cnki.jdzk.2021.03.008
    Abstract111)      PDF81)       Save
    To better analyze the mechanical properties of the dovetail tenon structure, a twofold line multi-parametric mechanical structure was established, and a mechanical analysis test suitable for wooden structures was carried out. Then, the corresponding dovetail joints were proposed based on the mechanical balance and a deformation coordination relationship formula. The above research results show that the deformation of the dovetail tenon is mainly concentrated around the contact between the tenon and mouth. When the unidirectional load becomes larger, its bending moment also becomes larger, which is easy to cause damage to the contact surface. The load-displacement curve and the ultimate load-vertical load curve obtained through the test also show that when the vertical load increases, the ultimate load also increases; when the ultimate load reaches the yield critical point, the increase in displacement becomes smaller and tends to be smooth.
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    Control Strategy of Variable Frequency Speed Regulation System Based on Multi-Drive
    HU Xiaofeng
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 57-62.   DOI: 10.13438/j.cnki.jdzk.2021.03.010
    Abstract110)      PDF69)       Save
    This paper presents a multi drive variable frequency speed control system. The topology of the system is AC-DC-AC structure, and the control performance is AC-AC direct conversion. Zero current commutation strategy and PWM control strategy can get good input current and output voltage waveform, and realize safe commutation. In the following, the correctness of the theory proposed in this paper is proved by the simulation results.
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    Problems and Countermeasures of Educational Data Governance in Colleges and Universities
    PU Tianyin, RAO Zhengchan, LEI Hong
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 92-96.   DOI: 10.13438/j.cnki.jdzk.2021.02.016
    Abstract107)      PDF65)       Save
    Based on the dilemma of the practice of university education data, this paper discusses the overview of data governance, the necessity of data governance, the problems of university data, the classification of university education data and governance strategies, and puts forward four measures: building a scientific governance mechanism, building a unified data standard system, regularly filtering data, and mastering the key links of data governance.
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    Design of High Precision DMCS Drilling Machine
    ZHANG Xing, CHEN Hanhan, XU Weixiong, CAO Jin, WU Liming
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 50-55.   DOI: 10.13438/j.cnki.jdzk.2021.02.009
    Abstract104)      PDF43)       Save
    In order to achieve accurate positioning of drilling and milling, the movement of drill bit is monitored and corrected in real time with the help of frequency converter, servo driver and the use of grating ruler. At the same time, the continuous trajectory interpolation movement can be realized through the DMCS control system, so as to drill and remove chips for large area of materials. That can realize the automatic drilling and tapping of a large number of small holes in soft materials.
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    Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces
    PENG Rong, CHAI Fujie
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 20-25.   DOI: 10.13438/j.cnki.jdzk.2021.02.004
    Abstract103)      PDF61)       Save
    In this paper, common fixed point problem of four generalized contractive mappings in a complete cone b-metric spaces is studied. A monotonic iterative sequence is constructed and  existence and uniqueness theorems of several common fixed points are proved with the iterative method and the compatibility of mappings, which generalizes relative results in cone metric spaces and b-metric spaces.
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    Experimental Research on Mathematics Preparation Test Teaching in College Entrance Examination Based on Mathematics Expression Ability Training
    LIANG Yongding, LIU Yongzhong, LI Qisheng
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 85-91.   DOI: 10.13438/j.cnki.jdzk.2021.02.015
    Abstract103)      PDF60)       Save
    It uses literature analysis, interview, observation and other research methods to analyse mathematical expression ability of high school students, constructs the teaching model of mathematical expression ability which is studied in the college entrance examination review. The results show that the college entrance examination mathematics review based on the cultivate of mathematical expression ability can improve review quality by promoting the enhancement in students' school record, strengthen students' learning interest and initiative.
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    Community Residents' Perception of Rural Tourism Impact in  Wuling Mountain Tourist Resort, Fuling, Chongqing
    TAN Shuyue, TANG Shashan
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 72-78.   DOI: 10.13438/j.cnki.jdzk.2021.02.013
    Abstract101)      PDF66)       Save
    This paper makes a sample survey on the community residents of Wuling Mountain Tourist Resort in Fuling District of Chongqing, and probes into their perception of tourism impact in terms of  economic, cultural, social, and environmental aspects. The results show that community residents think that the positive demonstration effect of tourism development is obvious, and the advantages of tourism development outweigh the disadvantages; the residents with different demographic characteristics have different perceptions and attitudes of impact, especially the residents with different education degrees; a small number of residents whose family environment has changed can not adapt to the new production and living environment. It is suggested that we should further improve the educational degrees  of residents while developing tourism, and pay attention to improving the production and living environment of residents.
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    Self-Adaptive and Real-Time Pre-Fall Detection
    XIE Jing, YANG Panlong, WEI Xing
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (3): 34-40.   DOI: 10.13438/j.cnki.jdzk.2021.03.006
    Abstract99)      PDF73)       Save
    To detect falls before falling and to provide basis for fall prevention, this study proposes a self adaptive pre-fall detection method that combines SVM and threshold method. Experiment results show that this method has a longer interval time than the artifical threshold and SVM, and has higher recall rate and specificity than SVM. The self-adaptive pre-fall detection method can detect the fall before the fall impact.
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    Approximate Optimality Condition for Fractional Optimization Problems
    XIE Feifei, WANG Jiaolang, HU Lingli
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 21-26.   DOI: 10.13438/j.cnki.jdzk.2021.04.005
    Abstract98)      PDF85)       Save
    In the case when the functions are not necessarily lower semicontinous and the sets are not necessarily closed, the fractional optimization problem is turned into a constraint optimization problem with Dinkelbach method. With the properties of ε-subdifferentials, some new constraint qualifications are introduced and some characteristic characterizations of ε-optimal solutions are established.
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    New Lower Bound of Wrap-Around L 2-Discrepancy for Mixed Two- and Three-Level Designs
    WANG Zhiqing, LUO Biao, OU Zujun
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 26-30.   DOI: 10.13438/j.cnki.jdzk.2021.02.005
    Abstract89)      PDF39)       Save
    In this paper, the uniformity of mixed two- and three-level designs measured by wrap-around L 2-discrepancy is discussed, and a new lower bound of wrap-around L 2-discrepancy is provided.
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    Oscillation of Third Order Semi-Linear Neutral Differential Equations
    JIA Duihong
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 5-11.   DOI: 10.13438/j.cnki.jdzk.2021.02.002
    Abstract86)      PDF28)       Save
    By using Riccati transformation and Philos type integral technique to construct different functions, some new oscillation criteria of the third order semi-linear neutral differential  equation are established.
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    ConvergenceRates for the Empirical Bayes Test of Parameters in  the Kumaraswamy Distribution Family
    HUANG Jinchao
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 9-15.   DOI: 10.13438/j.cnki.jdzk.2021.04.003
    Abstract83)      PDF82)       Save
    The Empirical Bayes (EB) test of parameters in Kumaraswamy distribution Family is investigated under linear loss function. By using the recursive kernel estimation and the monotone of Empirical Bayes function in case of iid samples, the EB test rules are constructed. Under suitable conditions the order of convergence rates approaches to O(n-λ(s-2.5)s-1), where s≥3, s∈N*.
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    Almost Periodic Solution of the Neutral Integro-Differential Equations
    LIU Yijian
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 16-20.   DOI: 10.13438/j.cnki.jdzk.2021.04.004
    Abstract74)      PDF78)       Save
    We consider the neutral integro-differential equations, by means of the theory of exponential dichotomies of linear system and fixed point theorem, we obtain the sufficient conditions for the existence and uniqueness of almost periodic solutions of the equations.
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    Some Notes of D C-Projective Modules
    HE Donglin, FAN Liang
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (2): 1-4.   DOI: 10.13438/j.cnki.jdzk.2021.02.001
    Abstract73)      PDF37)       Save
    With methods of homological algebra, some properties of Ding-projective modules with respect to a semidualizing module C are investigated, and relationships between related classes of modules are given. It is proved that PC(R) is an injective cogenerator of DPC(R), where DPC(R) denotes the class of all DC-projective R-modules, and PC(R) denotes the class of all R-modules CRP with P projective module.
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    Study on Sound Insulation of Second Order Helmholtz Resonator
    ZHAO Zhun, KONG Peng, DENG Ke
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 27-30.   DOI: 10.13438/j.cnki.jdzk.2021.04.006
    Abstract66)      PDF93)       Save
    Based on the sound insulation characteristics of the traditional Helmholtz resonator, the equivalent impedance of the Helmholtz resonator based on second-order resonance is derived by using the transfer matrix method layering, and the sound insulation characteristics of the second-order Helmholtz resonator are studied in combination with finite element simulation. It is verified that there are two sound insulation bands in the second-order resonator, and excellent sound insulation effect can be obtained by adjusting the geometric parameters. It has some research significance in acoustic application of sound noise reduction.
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    Doping Manipulationon the Electron Transport Properties of the Phosphorene-Boron Carbon Diphosphorus Heterojunction
    WU Dan, LIAO Wenhu, LIN Lie, LUO Shuzhen, CHENG Xiaoli
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 31-37.   DOI: 10.13438/j.cnki.jdzk.2021.04.007
    Abstract60)      PDF86)       Save
    Using the first-principles calculation method combining density functional theory and non-equilibrium Green's function, the electron transport properties of the armchair edge and the zigzag P-BC2P van der Waals heterojunction under finite bias are studied, and the influence of N-type electrons and P-type holes doping on the electron transport properties of the two edge types of heterojunctions. The research results show that: (1) Under the finite bias voltage, the two edge types P-BC2P van der Waals heterojunctions both exhibit nonlinear changes and negative differential resistance effects. The current growth of the P-BC2P heterojunction at the edge of the armchair is faster than that of the phosphorene nanoribbons, but the current growth of the P-BC2P heterojunction at the zigzag edge is slower than that of the phosphorene nanoribbons. (2) In the doping concentration range of 0.001~0.01 e/atom, N-type electrons/P-type holes doping can effectively control the conductance of P-BC2P heterojunction. Compared with the undoped, the conductance of the P-BC2P heterojunction at the edge of the armchair increases and decreases by up to 20% when doped with P-type holes, and decreases by up to 46.7% when doped with N-type electrons. The conductance of the zigzag edge P-BC2P heterojunction increases up to 196% when doped with P-type holes, and increases up to 164% when doped with N-type electrons.
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    A Study on the Ultrastructure of Two Species of Frustulia (Bacillariophyta)
    YUAN Li, LIU Bing, ZHOU Yangyan, DU Jie, ZHANG Wanying
    Journal of Jishou University(Natural Sciences Edition)    2021, 42 (4): 59-65.  
    Abstract59)      PDF228)       Save
    This paper reviews the naming changes of two Frustulia species and provides two new Chinese names for them: F. asiatica and F. amphipleuroides. Based on the observation of the light and scanning electron microscopy on the above two species, we find that: (1) the unique feature combination of F. asiatica is its linear-lanceolate valve shape and higher stria density; (2) the unique feature combination of F. amphipleuroides is 0~3 isolated poroids and obviously elongated central area.
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