1993—2023年国内数学运算研究综述——基于CiteSpace V5.6.R4的知识图谱分析

在数学教学中,数学运算能力的培养对学生数学核心素养的提升有很大的价值。将1993—2023年中国知网(CNKI)中文数据库中的216篇数学运算研究相关学术期刊论文作为研究对象,运用CiteSpace V5.6.R4软件绘制知识图谱,对文献的年发文量、发文作者、发文机构、关键词进行可视化分析发现,数学运算研究领域发文量呈波动上升趋势,研究机构合作分散,研究主要关注数学运算能力的内涵、培养策略及提升数学运算核心素养三大主题。基于当前数学运算研究的热点与趋势,提出加强研究主体合作,构建研究共同体;发展课堂教学,满足学生需要;深挖研究问题,凸显数学本质;深化数学运算研究,发展核心素养等建议。

基于CiteSpace v.6.2.R6的数学类课程思政研究可视化分析

随着高校课程思政的深入开展,如何将思政教育融入到课程教学中成为高等教育关注的焦点。以数学类课程为例,通过CiteSpace v.6.2.R6软件对数学类课程思政相关研究进行可视化分析,探讨数学类课程思政相关研究的学术合作、研究热点、主题演化等方面情况。研究结果表明,目前数学类课程思政研究主要集中在思政元素挖掘、教学改革、教学设计等领域,并存在跨学科合作的趋势。如何将数学课程与思政教育有机结合起来仍需进一步探索与实践。数学类课程思政相关研究仍不够深入系统,大部分研究停留在案例分析与经验总结层面,缺乏理论支撑与更科学的研究方法。未来研究可进一步优化分析工具,提升图谱的可视化效果与分析效率,也可探索对其他分析方法与工具的应用。

基于直角坐标法的V-2RPa⊥R⊕2RSS并联机构正逆解分析

构建一个基于有序单开链(SOC)的三平移一转动V-2RPa⊥R⊕2RSS并联机构的数学模型,通过使用直角坐标法对其位置进行了计算,并且提供了位置正解与反解的证明过程,同时也验证了这些结果的准确情况。与I4, Cross-IV相比,该V-2RPa⊥R⊕2RSS机器人具有结构简单等优点,可为后续的运动尺度综合,样机设计及动力学特性研究奠定基础。

豫南方言的意愿处置句式“V(R)它”——兼论汉语方言同类句式的来源及“它”的语法化

豫南方言中有一种意愿处置句式“V(R)它”,包括甲、乙、丙三类下位句式,分别为“N_(施)+给/帮+N_(受)+Vt(R)它”“N_(受)+Vt(R)它”和“Pron.+Vi(R)它”。跟其他方言的同类句式相比,其特点是:1)结果成分强烈倾向于不用;2)“它”由代词语法化为结果标记词。甲类源自近代汉语的“N_(施)+把/将+N_(受)+Vt+R+他”句式,乙类源自“(受事)话题+Vt+R+他”句式,丙类则是乙类句式进一步扩展的结果。文章通过方言对比发现“V了它”的语法化结果有两种:“V喽”和“V它”。豫南方言属于后者,“V它”由“动词+代词宾语”重新分析为“动词+结果补语”,机制是“它”的回指功能完全弱化以及R的语义抽象化。

Electronic Structure Research on Lattice Stability of V, Nb, and Ta by Density Functional Theory

The difference of energy and electronic structure of V, Nb, and Ta in different crystalline structures were investigated by different methods in density functional theory （DFT）. Lattice constants, total energies, and densities of states of these metals were calculated using the plane-wave pseudopotential method in DFT. Results were compared with those of projector augmented wave method, CALPHAD method, and experiments. Total energy and electronic structure analyses showed that valence electrons mostly transferred from s to p or d state, changing obviously with both the crystal structure and the elemental period number from V to Ta and leading to stronger cohesion, higher cohesive energy and more stable lattice of heavier metals.

Analysis on the Theory of Blow-up and Verification on Numerical Prediction of Heavy Rain in Sichuan Basin

By dint of V-3θ diagram from the Blown-up theory,a continuous heavy rain process in western Sichuan basin from July 14 to 17,2009 is analyzed in this paper.Situation field and precipitation of ECWMF and T213 are verified and discussed.Results show that V-3θ diagram can describe the heavy rain process accurately.Combining with additional conventional weather charts,experience and numerical forecast products,the heavy rain falling area is determined.The forecast accuracy of situation field of EC is significantly higher than that of T213 and the forecast accuracy of T213 for heavy rain forecast is relatively low.

Uncertainty Theory Based Novel Multi-Objective Optimization Technique Using Embedding Theorem with Application to R &D Project Portfolio Selection

This paper introduces a novice solution methodology for multi-objective optimization problems having the coefficients in the form of uncertain variables. The embedding theorem, which establishes that the set of uncertain variables can be embedded into the Banach space C[0, 1] × C[0, 1] isometrically and isomorphically, is developed. Based on this embedding theorem, each objective with uncertain coefficients can be transformed into two objectives with crisp coefficients. The solution of the original m-objectives optimization problem with uncertain coefficients will be obtained by solving the corresponding 2 m-objectives crisp optimization problem. The R & D project portfolio decision deals with future events and opportunities, much of the information required to make portfolio decisions is uncertain. Here parameters like outcome, risk, and cost are considered as uncertain variables and an uncertain bi-objective optimization problem with some useful constraints is developed. The corresponding crisp tetra-objective optimization model is then developed by embedding theorem. The feasibility and effectiveness of the proposed method is verified by a real case study with the consideration that the uncertain variables are triangular in nature.

An R(x)-orthonormal theory for the vibration performance of a non-smooth symmetric composite beam with complex interface

A composite beam is symmetric if both the material property and support are symmetric with respect to the middle point. In order to study the free vibration performance of the symmetric composite beams with different complex nonsmooth/discontinuous interfaces, we develop an R(x)-orthonormal theory, where R(x) is an integrable flexural rigidity function. The R(x)-orthonormal bases in the linear space of boundary functions are constructed, of which the second-order derivatives of the boundary functions are asked to be orthonormal with respect to the weight function R(x). When the vibration modes of the symmetric composite beam are expressed in terms of the R(x)-orthonormal bases we can derive an eigenvalue problem endowed with a special structure of the coefficient matrix A :=[aij ],aij= 0 if i + j is odd. Based on the special structure we can prove two new theorems, which indicate that the characteristic equation of A can be decomposed into the product of the characteristic equations of two sub-matrices with dimensions half lower. Hence, we can sequentially solve the natural frequencies in closed-form owing to the specialty of A. We use this powerful new theory to analyze the free vibration performance and the vibration modes of symmetric composite beams with three different interfaces.

A New System for Road Traffic Optimisation Using the Virtual Traffic Light Technology

Large cities suffer from traffic congestion,particularly at intersections,due to a large number of vehicles,which leads to the loss of time by increasing carbon emissions,including fuel consumption.Therefore,the need for optimising the flow of vehicles at different intersections and reducing the waiting time is a critical challenge.Conventional traffic lights have been used to control traffic flow at different intersections and have been improved to become more efficient by using different algorithms,sensors and cameras.However,they also face some challenges,such as high-cost installation,operation,and maintenance issues.This paper develops a new system based on the Virtual Traffic Light(VTL)technology to improve traffic flow at different intersections and reduce the encountered loss of time and vehicles’travel time.Additionally,it reduces the costs of installation,maintenance and operation over various conventional traffic light systems.Consequently,the system proposes algorithms for traffic scheduling and lane identification by using vehicle ID,priority and time of arrival.To evaluate the system,four scenarios were presented where each scenario uses a different number of vehicles consisting of three types(emergency vehicles,public buses and private vehicles),each given a different priority.The proposed system is evaluated by integrating two simulators,namely,(OMNeT++)and(SUMO),and two frameworks,namely,(VEINS)and(INET)to prepare an appropriate working environment.the results prove that an improvement in the average travel time for several vehicles reaches 44.43%–49.76%compared with conventional traffic lights.Further,it is proven from the obtained results that the average waiting time for emergency vehicles is enhanced by 96.63%–97.63%,while the average waiting time for public buses is improved by 94.81%–97.23%.On the other hand,the waiting time for private vehicles‘improved by 87.14%to 89.71%’.

The Pursuit of Unhappiness:The Ground Theory to Explain Why People Choose to Be Unhappy Rather Than Happy

This article presents a ground theory to explain why some individuals choose to be unhappy rather than happy,supported by empirical data collected from a sample of 750 professionals in Greece’s public and private sectors.We begin by reviewing the existing literature on happiness and well-being,highlighting the debate between hedonic and eudaimonic perspectives.We then introduce our research questions and rationale,and describe our methods,sample,and psychometric tools used to measure happiness and other variables of interest.Our results indicate that various factors,including cultural influences,past experiences,and personal values,contribute to individuals’pursuit of unhappiness.We conclude with a thorough discussion of our results and their implications for future research and interventions aimed at promoting well-being.

Research on New Media Marketing Strategy of Quzhou Jianglang Mountain Scenic Spot Based on 4R Marketing Theory

With the increasing popularity of new media,new media marketing plays an increasingly important role in the marketing of tourism scenic spots,bringing a new marketing opportunity to tourism scenic spots.Based on the 4R theory in marketing theory,this paper takes Quzhou Jianglang Mountain as the research object and finds that the following problems exist in the new media marketing of Quzhou Jianglang Mountain:1.The new media users are not closely enough connected;2.the response to the new media market changes is not fast enough;3.the new media marketing relationship interaction is not timely enough;and 4.the return of new media marketing is not ideal.The new media marketing strategy of Quzhou Jianglang Mountain Scenic Spot is proposed from four perspectives:association,reaction,relationship,and return.Finally,the research on the new media marketing strategy of Quzhou Jianglang Mountain Scenic Spot based on the 4R theory is summarized.

Book Review “Fabrikant,V.I.Contact and Crack Problems in Linear Theory of Elasticity,Bentham Science Publishers,Sharjah,UAE(2010)”

As suggested by the title, this extensive book is concerned with crack and contact prob- lems in linear elasticity. However, in general, it is intended for a wide audience ranging from engineers to mathematical physicists. Indeed, numerous problems of both academic and tech- nological interest in electro-magnetics, acoustics, solid and fluid dynamics, etc. are actually related to each other and governed by the same mixed boundary value problems from a unified mathematical standpoint

Derivation of Martin-Hou Equation of State from Hard-particle Perturbation Theory

In this paper, the Martin-Hou equation of state is derived by using a power series representation of radial distribution function and an analytic representation of multi-section potential based on the Barker-Henderson hard-particle perturbation theory including high-order terms. In the derivation, a theoretical form of Martin-Hou equation was obtained. It had a similar form and the same capability to predict P-V-T properties as the Martin-Hou equation and no additional data were required for evaluating the constants. The characteristic constants of the theoretical expression have certain relationships with the molecular parameters.

THEORY OF GRAVITATIONAL RADIATION OF THE(Ω,A_μr)-FIELD

Further exploration of the fteld theory as first proposed by Yu (1989) is here presented to cover the equation of motion of a test particle which induces gravitational radiation. The same theory is shown to contain an exact gravitational radiation equation derived as a logical consequence of field equations without extra postulates. In this general dynamic context the theory is renamed 'The field Theory'.

Phantom and Quintessence Fields Coupled to Scalar Curvature in General <i>f(R)</i>Gravity Theory

This paper reviews the development of f(R) gravity theory and Phantom and Quintessence fields. Specifically, we present a new general action of f(R) gravity and Phantom and Quintessence fields coupled to scalar curvature. Then, we deduce Euler-Lagrange Equations of different fields, matter tensor and effective matter tensor. Additionally, this paper obtains the general pressure, density and speed sound of the new general field action, and investigates different cosmological evolutions with inflation. Further, this paper investigates a general f(R) gravity theory with a general matter action and obtains the different field equations, general matter tensor and effective matter tensor. Besides, this paper obtains the effective Strong Energy Condition (SEC) and effective Null Energy Condition (NEC). Then, we prove that when f(R) approaches to R, the effective SEC and the effective NEC approach to the usual SEC and the usual NEC, respectively. Finally, this paper presents a general action of f(R) gravity, Quintessence and Phantom fields and their applications.

Influence of Neodymium on Amorphizability of RS Al-Fe-V-Si-Nd Alloys:An Investigation Using Time Dependent Nucleation Theory

Time dependent nucleation theory was applied to calculate the incubation time required for α Al nucleation in rapid solidified (RS) Al Fe V Si Nd alloys. The nucleation rates were calculated as a function of temperature, and the critical cooling rates required for the formation of amorphous α Al at different neodymium concentrations were calculated too. The addition of neodymium increases the amorphizablity of α Al by increasing the incubation time and decreasing the nucleation rate and the critical cooling rate. The calculations are fitted to experimental results when liquidus temperatures are estimated from an approximation, which treats Al Fe V Si Nd as quasi binary Al Fe system.

Two-photon excitation for C_2Vmolecules based on the full relativistic theory

The present work explores a new phenomenon that not all the transition probability of two photon processes is negligible at low irradiance. The irreducible representation 2B2 of C2v is unexpected, for there is no much deviation in oscillator strength for two-photon and single-photon process A1 to 2B2. This new phenomenon is only possible to be explored by the symmetrical consideration: the necessary and sufficient condition is molecular plane coincident with yz plane or the operation σ ’v(yz) for group C2v. It is only possible to be evaluated out by use of the full relativistic quantum mechanical theory.

Cracking the Snake Detection Theory: The Subcortical Visual Pathway as a Major Player in Cultural Transformations

According to the proposed hypothesis, graphic characters trigger the subcortical visual route. The reaction discussed is very weak. Yet, its very existence has an unusual importance: characters and (occluded) venomous snakeskin patterns reveal themselves as conflatable. Furthermore, following tractogra- phic research, a functional segregation of the subcortical pathway is to be presupposed. Thus, there can’t be a later dissociation of two stimuli previously associated. The outcomes of lecture will gradually appear probabilistically (much) more peaceful than encountering a venomous snake, though, and thus a continuous lessening of the reaction is expectable. Here, on one hand, it is relevant that the subcortical visual pathway goes to the amygdala. The reactions we describe tap into goal-oriented processes, and they will do that unfettered. On the other hand, in the case of characters, since the beginning, fear has been converted into appetition to a great degree. This process should be fostered in the presence of light. In this way, luminosity might become a conditioned stimulus for attraction. In this case, a Pavlovian addiction for light will foster, yet also—from the point of view of reward feeling—counterbalance the lessening of the stimulation elicited by characters. The addiction we refer to is one towards light accompanied by graphic signs. Yet, as opposed to the case of the luminous medium, the attention captured by the later ones taken for themselves is continuously reduced.

Peace Theories & Quest for Peace: A Cross-cultural Perspective

Out of the plethora of peace theories,two stand out in particular:(a)the Kantian democratic theory of peace,which argues that peace depends on a league of democracies,and(b)the liberal economic theory of peace,that a free,open world market conduces to peace.In this essay,concrete examples are cited that would raise doubt on the validity of these theories.It then proceeds to examine whether culture would make a difference on the incidence of war.In this light,the Westphalian system of states is compared with the historical Chinese“tribute system”qua an inherent system of international relations.One distinct difference is found in the much lower incidence of wars in the latter system,as David Kang’s study identified that in 5 centuries(1368-1841)the Chinese tribute system had only two interstate wars within its circle of members,not counting the wars initiated by external,ex-regional Western powers.And,the religious wars that plagued the West were never found in the Chinese tribute system.In search of an answer to this almost incredible record of low incidence of war,this essay finds that the Confucian culture,with its emphasis on harmony and harmonization of opposites,in contradistinction to the teachings on conflict in Abrahamic cultures,seems to hold the key to an answer.If so,culture,rather than institutions(such as democracies,open world market,etc.)deserves to be seriously considered as a relevant factor contributing to peace.Most importantly,culture as such can be taught and disseminated,including through the classroom.

Research on Hospital Medical Crisis Management Based on 4R Theory: A Case Study of the Crisis Event in the Second Affiliated Hospital of Harbin Medical University

The hospital medical crisis management is the strategy adopted by hospitals for medical crisis.It aims to minimize the loss brought about by medical crisis to the hospital through management.By using 4R theory of crisis management and taking the incident of"sky-high medical expenses"happened in Second Affiliated Hospital of Harbin Medical University as an example,we study how to improve and perfect the medical crisis management strategy of hospitals in our country.As a result,we think hospitals can improve the crisis management strategy from four aspects of curtailment,preparation,reaction and resilience,so as to solve this issue appropriately,protect the legitimate rights and interests of patients to the greatest extent and promote the sustainable development of the hospital.