Table of Content

    25 March 2021, Volume 42 Issue 2
    Mathematics
    Some Notes of DC-Projective Modules
    HE Donglin, FAN Liang
    Journal of Jishou University(Natural Sciences Edition), 2021, 42(2):  1-4. 
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    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.
    Oscillation of Third Order Semi-Linear Neutral Differential Equations
    JIA Duihong
    Journal of Jishou University(Natural Sciences Edition), 2021, 42(2):  5-11. 
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    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.
    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. 
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    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.
    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. 
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    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.
    New Lower Bound of Wrap-Around L2-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. 
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    In this paper, the uniformity of mixed two- and three-level designs measured by wrap-around L2-discrepancy is discussed, and a new lower bound of wrap-around L2-discrepancy is provided.
    New Estimate of Error Bounds for Linear Complementarity Problems of BS-Matrices
    ZHOU Cuiling, MO Hongmin
    Journal of Jishou University(Natural Sciences Edition), 2021, 42(2):  31-37. 
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    According to the special structure and properties of BS-matrices, new error bounds for the linear complementarity problem of BS-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.
    Communication
    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. 
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    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.
    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. 
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    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.
    Automation and Computer
    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. 
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    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.
    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. 
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    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.
    Biological
    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. 
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    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.
    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. 
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    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%.
    Characteristic column:Study on Wuling Mountain Area
    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. 
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    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.
    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. 
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    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.
    Education
    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. 
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    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.
    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. 
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    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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