Table of Content

26 May 2021, Volume 40 Issue 3

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Optimal Error Bounds for Matrix Linear Complementarity Problems ∑₁-SDD Matrix

LI Yanyan

2021, 40(3):  1-4. 

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The classical linear complementarity error bound estimator for strictly diagonal dominant matrices is used to obtain the error bound for the linear complementarity of A, and the optimal value of the error bound is analyzed in detail based on the study of the upper bound of the infinite norm of the inverse matrix ∑₁-SDD of A. The superiority of the estimator is also illustrated with the help of numerical examples.

Minimal Frobenius Norm Generalized Symmetry Solution of a Class of Matrix Equations

ZHANG Feng

2021, 40(3):  5-10. 

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The process of solving a class of matrix equations with minimal Frobenius parametric dual symmetry is susceptible to the influence of central symmetry and slow in solving. The methods of setting a class of matrix equations centrosymmetry constraints, using it as the basis of the iterative solution process, transforming the matrix equations into the form of a system of equations, and setting the corresponding iterative solution method are moreefficient The data solution obtained by iteration can be regarded as the minimal Frobenius parametric generalized bisymmetric solution of the system of matrix equations, and construct the approximation method to complete the solution calculation process. A comparative experimental session is constructed and the computational speed of this method is improved and it is used more effectively.

Estimation of the Number of Zeros for Abel Integrals of Quadratic Hamiltonian Functions

WANG Yanjie, CAO Bo, HONG Xiaochun

2021, 40(3):  11-16. 

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In this paper, we use the Picard-Fuchs equation method and the Riccati equation method to study a class of four-time Hamiltonian function H（x,y）=x²+y²+ax²y²+bx⁴+cy⁴, the zero number of Abel integrals of such functions. The conclusion shows that the Abel integral is in the interval $(\frac{c}{a^{2}-4bc},0)$, the number of zeros does not exceed $3[\frac{n-1}{4}]+12[\frac{n-3}{4}]+22$.

Finite-time Fluctuation Theorem for Heat Conduction in One-dimensional Nonlinear Lattices

LI Jinhong, HE Dahai

2021, 40(3):  17-21. 

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The fluctuations of master functional, total entropy production and medium entropy production of the one-dimensional nonlinear lattices coupled to two heat reservoirs at different temperatures are studied. The theoretical analysis reveals that the non-equilibrium steady state distribution of one-dimensional nonlinear lattices fail to satisfy the time reversal symmetry, which means that the total entropy production is inequivalent to the main functional. Thus the total entropy production fails to satisfy the steady-state fluctuation relation for finite time. Furthermore, through numerical simulations in one-dimensional φ⁴ lattices, we find that the generalized steady-state fluctuation theorem (SSFT) for medium entropy production monotonically approaches to the conventional SSFT as the time interval increases for any given temperature difference and nonlinearity. The stronger the irreversibility of the dynamical process, the faster the generalized SSFT approaches to the conventional SSFT.

Study of Magnetic Properties of Ni-Mn-Ga Thin Films Epitaxially Grown at Different Temperatures and Applied Magnetic Field Directions

JIANG Zhongsheng, YANG Bo, YAN Haile, LI Zongbin

2021, 40(3):  22-28. 

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Epitaxially grown Ni-Mn-Ga Hassler alloy thin films have a variety of excellent magnetron functional behaviors and are promising candidates for smart sensing drives and new solid-state refrigeration. In this study, epitaxially grown Ni-Mn-Ga thin films were prepared on MgO(001) single crystal substrates using magnetron sputtering, and X-ray diffraction and microstructure characterization results showed that they were seven-layer modulated structured martensite at room temperature. By measuring the hysteresis lines of the epitaxially grown Ni-Mn-Ga films on MgO(001) substrates at different temperatures and magnetic field directions, it was found that when the temperature was below 330 K, a significant “magnetic moment jump” phenomenon (sudden change of magnetization intensity) could be observed in the hysteresis lines, and the phenomenon became more pronounced as the temperature decreased. When the temperature is higher than 335 K, the hysteresis line of the film is the hysteresis line of the conventional magnetic material, which means that the “moment jump” phenomenon exists only in the martensitic state. By studying the hysteresis lines in different directions of the applied magnetic field, we found that the “moment jump” phenomenon in the hysteresis lines of thin films is also very sensitive to the direction of the applied magnetic field, and only when the applied magnetic field is close to the [100] or [010] direction of the MgO single-crystal substrate, the hysteresis lines of thin films will have obvious “moment jump” phenomenon. The “magnetic moment jump” phenomenon is only apparent when the applied magnetic field is close to the [100] or [010] direction of the MgO single crystal substrate.

Synthesis and Lithium Storage Properties of Zn₃V₃O₈/Porous Graphene

CHEN Junjie

2021, 40(3):  29-36. 

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A simple template method was used to fabricate porous graphene framework (pG), and a pomegranate-like zinc vanadate (Zn₃V₃O₈) nanospheres were coated in the porous graphene nanosheets to form the unique structure of zinc vanadate/porous graphene (Zn₃V₃O₈/pG) nanocomposites. As an anode material for lithium ion batteries (LIBs), the Zn₃V₃O₈/pG show good lithium storage performance and deliver a reversible capacity of 586 mAh g^-1 at 1000 mA g^-1 after 200 cycles. The superior electrochemical performance of Zn₃V₃O₈/pG nanocomposites can be attributed to the unique porous network carbon structure, which provides buffer space for the volume change of Zn₃V₃O₈ nanospheres during charge and discharge cycles, and the synergistic effects between pomegranate-like Zn₃V₃O₈ nanospheres and porous graphene network.

MATLAB Simulation of The Course Signals and Systems—— Start from an Example

CHEN Changzhao

2021, 40(3):  37-42. 

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The difficulties in the teaching of The Course Signals and Systems stem from the mutual penetration and multiple superposition effects of multiple links such as mathematical knowledge, physics concepts, and engineering background. The powerful data processing and intuitive graphical display of MATLAB help perform multi-dimensional interactive teaching and enhance students’ learning enthusiasm and initiative and its quick master can be started from MATLAB simulation of several core points. A typical example of a band-pass filter is used to describe the MATLAB implementation of solving key problems such as frequency spectrum, system function, zero-state response, and root locus, and give out the main steps that the MATLAB simulation should generally be used in the teaching of The Course Signals and Systems.

A Voice Control Method for Smart Home

PENG Jinghua，HU Yongsen

2021, 40(3):  43-51. 

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Aiming at the problems of high usage cost, low penetration rate, difficulties in intelligent interaction for the elderly and low information security in the currently marketed comprehensive smart home system, a voice control for smart home without networking is proposed using voice recognition, voice synthesis, infrared coding self-learning, wireless communication, double-layer protection mechanism, double mode switching, battery charging and discharging, voltage conversion and other technologies. The method has been tested to realize the voice control of smart home with the advantages of simple use, stable performance and low production cost.

Design and Development of Virtual Simulation System for Bi-prism Interference Experiment

SHI Meiling, ZHOU Tian

2021, 40(3):  52-60. 

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A virtual simulation system including seven modules has developed for the experiment of Bi-prism interference: principle elaboration, effect demonstration, introduction of experimental content, introduction of experimental instrument, experimental instrument placement, experimental data measurement, and analysis of experimental results. In the development of simulation system, the self-adaptive image size display model based on center alignment is proposed; and the local area interaction model with the center of experimental instrument as the center has been proposed. This system realizes the function of adjusting the position of experimental instrument by dragging the mouse and the color simulation of interference phenomenon. Through the background calculation, the system judges the rationality of the user operation and gives the corresponding user operation prompt. The simulation system is complete in content, realistic in experimental phenomena, simple, and friendly in user interaction. The experiment can provide effective assistance to the theory and experiment teaching of bi-prism interference.

Research on the Method of Medical Instrument Fault Diagnosis Based on Bayesian Network

ZHANG Xihong, WANG Yuxiang

2021, 40(3):  61-66. 

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A Bayesian network fault diagnosis model is established based on analysis of maintenance data in order to solve the problem of testing trouble in medical laboratory equipments resulted from the complicated structure of medical instruments and inadequate maintenance data. The Pgmpy toolkit is introduced based on the analysis of maintanace data, and the process of establishment of network and learning of the network parameters through a case study of the construction of diagnostic model of urinograph ulyt 500B. The experimental results show that the reasoning results of the diagnosis system constructed by this method are consistent with the reality.

Reform and Practice of World-class Undergraduate Education at Universities of Henan

GUO Liping

2021, 40(3):  67-72. 

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The world-class undergraduate education is the cornerstone of educational modernization and educational power. Higher education in Henan is backward, and the development of world-class undergraduate education is the only way to develop the connotation of universities. The development status of universities in Henan, and focuses on the main obstacles to the development of world-class undergraduate education are analyzed. The results show that the concrete path of implementing world-class undergraduate education reform and practice reconstruction in Henan includes promoting the classification development of universities, and constructing the "double-world-class" construction of universities in Henan. Finally, the paper puts forward four ideas for the development of world-class undergraduate education in Henan.

Online Teaching Mode Based on Multimedia Integration

WANG Wenhao, QIU Dong, XU Renlian, CHEN Xiaobing

2021, 40(3):  73-77. 

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In the spring of 2020, colleges and universities failed to start school on time because of the influence of COVID-19. Teachers actively responded to the call of the “non-stop teaching, non-stop learning”, and overcome many difficulties to carry out online teaching. With the help of QQ course group, Tencent classroom and Chaoxin Fanya platform, the author carried out the online teaching of Java Programming. According to the requirements of the syllabus, we have organized and implemented various links in the teaching process. Learning materials are pushed through QQ course group, online live broadcast, question answering, discussion and interaction are carried out through Tencent classroom, and online learning is provided through Chaoxin Fanya platform. The expected teaching tasks have been successfully completed, and good results have been achieved. The students’ autonomous learning ability and learning enthusiasm have been greatly improved.

Research on Students’ Self-efficacy in Microteaching of Chemistry Major at Senior Normal University

YAO Linna, MA Bingjiao, WANG Youzhe

2021, 40(3):  78-82. 

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Microteaching is an efficient training method with modern audio-visual technology to deeply train normal students’ teaching skills. The self-efficacy has a very important influence on helping normal students to further improve their basic skills in microteaching.The research carried out based on Albert Bandura’s self-efficacy theory by focusing on the study of normal students’ self-efficacy in microteaching by using the methods of literature review and questionnaire reveals that, 1) the respondents’ most extensive sense of self-efficacy in non-specific areas is at a medium level; 2) the self-efficacy of normal student is relatively low in the process of microteaching; 3) the overall attribution of normal students in microteaching is still positive to be helpful to enhance the sense of teaching effectiveness; and 4) normal students generally believe that participating in various kinds of teaching skills training is the most effective way to improve teaching efficacy.

Teaching Strategy for Solving "3 + 1" Mathematics Problem Based on Deep Learning

LIU Jun, DOU Xuefang, LIU Chunyan, GU Laifen, WANG Liping, XU Ye, LUO Hongying, YANG Jingmei

2021, 40(3):  83-87. 

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"Deep learning", a practical way to develop students' core literacy, is an important starting point to deepen the curriculum reform of elementary education. Under the guidance of deep learning, the teaching strategy of "3 + 1" (understanding, thinking, exploring + expanding) mathematical problem solving is carried out. Under the guidance of theories and methods, the application of "3 + 1" mathematics teaching strategy is expounded through specific cases to cultivate students' core mathematics literacy so that the curriculum reform will be comprehensively deepened and the fundamental task of building morality and cultivating people is to be carried out.

Analysis of the Ideological and Political Education Factors and Teaching Strategy in Advanced Mathematics

FANG Guomin, ZHU Gusheng, XIE Wei

2021, 40(3):  88-93. 

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The higher mathematics curriculum is rich in “ideological and political” educational elements, which is an effective carrier to improve students’ comprehensive humanistic quality, carry out patriotic education, and cultivate a rigorous and realistic scientific spirit and good qualities of love and dedication, honesty and trustworthiness. Giving full play to teachers’ initiative, taking mathematical culture as the carrier, studying the teaching strategy of “ideological and political” educational elements in the curriculum”, optimizing teaching objectives, teaching design and assessment and evaluation system, and condensing the “ ideological and political” education elements will improve students’ humanistic quality, carry out patriotic education, cultivate rigorous scientific spirit and good qualities of professionalism, honesty and integrity. The teaching strategy of “ ideological and political education “ should be studied in depth, the teaching objectives, teaching design and assessment and evaluation system should be optimized, the “ ideological and political education” elements should be refined, the “civic and political science” educational value of the history and beauty of mathematics should be given full play, the dialectical thinking and mathematical spirit should be integrated into the subject teaching, and a teaching model guided by the “great ideological and political education” concept should be built. The teaching mode is guided by the concept of “great thinking and government” education.

Research and Practice of Ideological and Political Education in Advanced Language Programming Courses Based on Teaching Matrix

XU Guoming, YUAN Hongwu, WAN Jiahua

2021, 40(3):  94-98. 

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In the ideological and political teaching in advanced language programming courses, this paper proposes to construct a multi-level ideological and political system of the course covering the whole process of classroom teaching, experimental teaching, and comprehensive practice. According to the requirements of the implementation path of the system, the ideological and political teaching matrix is designed. Combined with the specific course content, the ideological and political dimension level of the course and the teaching implementation process, the typical matrix elements are designed. Finally, the practical effect is explained and the improvement measures are put forward.

Teaching Reform of Fundamental Programming Based on OBE

YANG Xiaoying, ZHANG Wanli

2021, 40(3):  99-102. 

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The course objectives of Fundamental Programming are formulated with clear supporting relationships of the course by the proposal of reverse design based on the OBE education concept and the training objectives and graduation requirements of software engineering major. The four-in-one teaching system of “online teaching + offline teaching + comprehensive assessment + discipline competition” is adopted to improve students’ practical problem solving skills, and to implement positive teaching and improve students’ ability to solve practical problems. Finally, the feedback from the students’ questionnaire shows that the proposed teaching reform has good effect.

Comparison and Analysis of Common Methods for Measuring Investment Multiplier

GAO Xingyou, CHEN Yu

2021, 40(3):  103-109. 

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The investment multiplier, is an important tool to study the pulling effect of investment on economic growth. There are four commonly used formulas for calculating the investment multiplier: the ratio of GDP increment to investment increment, the multiplier of two-sector economy, the multiplier of three-sector economy, and the multiplier of four-sector economy. Two methods, marginal analysis and regression analysis, are commonly used to calculate the investment multiplier. These multipliers are mature and reliable in theory, but the calculation results are quite different, which brings difficulties and confusion to the practical application. Which investment multiplier formula is more accurate and more consistent in reality? An empirical study is carried out by means of marginal analysis and regression analysis based on the forty-year data from 1980 to 2019. The results show that the investment multiplier of the four-sector economy calculated by regression analysis is the most accurate and reliable.

Study of the Evolution Law of Monetary Form and Monetary Credit Chain

PAN Xiaojun, YANG Jun

2021, 40(3):  110-116. 

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Money is the commodity that acts as universal equivalent. The emergence of money and its evolution have certain objective laws. The demand for separation of supply and demand caused by the inconvenience of early barter gave birth to a new economic thing—money. Under the restriction of social production, the early commodity money experienced two stages: commodity money of necessities and its coexistence with the commodity money of luxury goods. Metal currency, especially gold and silver, strictly belongs to commodity money, but compared with the former commodity money, it has many excellent properties and breaks through the space and time constraints. The birth of credit currency is the result of the progress of papermaking technology and the strengthening of centralization, and it is also a leap from the form of money with use value to money without use value. No matter what kind of money is, it is the representative of abstract labor. It is only attached to concrete things in the early stage and non physical things in the later stage. People’s trust in money is also a law of evolution from direct trust to indirect trust.

Investigation of Current Situation of Teacher Training at Schools with School Soccor Characteristics—— A Case Study of Pilot County (District) with Characteristic School Soccor in Yunnan

SUN Huifeng, MA Zhendong

2021, 40(3):  117-123. 

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The participation of soccer teachers and coaches serving in schools with school soccer characteristics in five pilot counties (districts) in Yunnan Province is investigated by using literature, questionnaires, mathematical statistics, and other research methods. The study revealed that, (1) the overall teacher team is young, but a team of key teachers, young key teachers, young teachers and new teachers has been formed; (2) the participation rate of teachers and coaches has reached 100% with effectiveness, but the evaluation of the training system is not satisfactory; (3) the optimized method has been found by deepening the “platform + base training mode, promoting “level + modular” training content, optimizing “fixed + part-time + mobile” job configuration, and improving “training + promotion” system.

Research on the Development Strategy of Yunnan Sports Tourism of Ethnic Group

ZHANG Chiyuan, FENG Qiang

2021, 40(3):  124-128. 

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Sports tourism is an important guarantee for the transformation and upgrading of tourism in Yunnan, and sports tourism of ethnic groups in Yunnan is the key to the development of its characteristic sports tourism.The analysis of market structure and the development status of sports tourism of ethnic groups in recent years reveals that sports tourism of ethnic groups in Yunnan has a good development prospect, but the sports tourism industry of ethnic groups has not been paid attention; leisure and entertainment projects are the future development direction of sports tourism of ethnic groups; the integration degree of sports of ethnic groups and tourism is low, the supply capacity is insufficient, and the industrialization of the sports tourism needs speeding up; the commercialization and productization should be promoted; the value and connotation of the sports should be deeply excavated according to the change of market structure; the informatization process should be promoted; and talents are cultivated to improve service and other development strategies are proposed in order to provide scientific reference for the development of Yunn an national sports tourism.