The time periodic solution to a two-phase fluid system is considered,which is consisted of the compressible i-sothermal Euler equations coupled with the compressible isentropic Navier-Stokes equations through a drag forcing term.This model was first derived by taking the hydrodynamic limit from the Vlasov-Fokker-Planck/isentropic Navier-Stokes equations with strong local alignment forces.Based on regularized approximation and the topological degree theory,we obtain the exist-ence of time periodic solutions under some smallness and structure assumptions imposed on the time periodic force in the peri-odic domain.Moreover,by energy methods,The uniqueness of the time periodic solution is proved.
The disaster caused by landslide is huge. To prevent the spread of the disaster to the maximum extent, it is particularly important to carry out landslide disaster treatment work. The selection of landslide disaster treatment alternative is a large scale group decision-making (LSGDM) problem. Because of the wide application of social media, a large number of experts and the public can participate in decision-making process, which is conducive to improving the efficiency and correctness of decision-making. A IF-TW-LSGDM method based on three-way decision (TWD) and intuitionistic fuzzy set (IFS) is proposed and applied to the selection of landslide treatment alternatives. First of all, considering that experts and the public participate in the evaluation of LSGDM events, respectively, the method of obtaining and handling the public evaluation information is given, and the information fusion approach of the public and experts evaluation information is given. Second, evaluation values represented by fuzzy numbers are converted into intuitionistic fuzzy numbers (IFNs), and the intuitionistic fuzzy evaluation decision matrix described by IFNs is obtained. Then, a new LSGDM method of alternatives classification and ranking based on IFS and TWD is proposed, the calculation steps and algorithm description are given. In this process, we first cluster the experts, then consider the identification and management of non-cooperative behavior of expert groups. This work provides an effective method based on LSGDM for the selection of landslide treatment alternatives. Finally, the sensitivity of parameters is analyzed, and the feasibility and effectiveness of this method are compared and verified.
The cross-regional integrated development of red cultural sites is of great significance to promote the integrated development of regional red tourism.This paper constructs the development index of red cultural sites,and comprehensively u-ses spatial analysis method and social network analysis method to study the network structure and integration relationship of red cultural sites development in Shandong Province.The results show that:①The development of Shandong red cultural sites forms the spatial distribution pattern of Linyi-Jinan-Qingdao"Golden Triangle"and Yantai-Weihai-Weifang"Silver Triangle",and the core network connection direction is Jinan-Taian,Jinan-Zibo and Qingdao-Yantai.②The core-periphery structure of the development of red cultural sites is obvious,and the core areas such as Jinan,Linyi and Qingdao have obvious advantages in the network structure,but the connection strength with the periphery area is insufficient,and the radiation driving ability is poor;Jinan is a key node in the regional integration and development of red cultural sites.With the greatest priority,the"one core,two strong and three circles"integrated development pattern of red cultural sites is taking shape.③The level of government support,upgrading of industrial structure,traffic accessibility,geographical distance and the level of information development affect the spatial association and integrated development of red cultural sites in Shandong Province.
In order to find out the relationship between online compulsive shopping,adult attachment,and depression a-mong college students,and to test the mediating effect of adult attachment between online compulsive shopping and depression among college students,662 college students were subjected to a test using the College Students'Online Compulsive Shopping Scale,Intimate Relationship Experience Scale,and Self Rating Depression Scale.The results showed that:(1)there was a sig-nificantly positive correlation detected between online compulsive shopping and attachment avoidance among college students;and attachment avoidance,compulsive shopping,and depression were all significantly positively correlated;(2)College students'online compulsive shopping can have an indirect impact on depression through attachment avoidance;(3)There is a significantly positive correlation between online compulsive shopping and attachment anxiety among college students,with at-tachment anxiety,online compulsive shopping,and depression all showing a significantly positive correlation;(4)College students'online compulsive shopping can have an indirect impact on depression through attachment anxiety.Therefore,college students'online compulsive shopping can directly predict depression,and attachment anxiety and attachment avoidance partial-ly mediate the relationship between college students'online compulsive shopping and depression.
Under the background of the high-quality"Belt and Road"Initiative and the deep integration of culture and tourism in China,the national heritage routes of Hexi Corridor boast unique representativeness and typicality.Taking Internet tourism data as the research subbject,using the methods of word cloud frequency statistics,semantic network analysis and rooted theory code,a probe is conducted into the image perception of Hexi Corridor national heritage routes with the theoretical model of"cognition-emotion-entirety".The results indicate that:1)Tourists focus mainly on the cognitive content dimensions of tourist attraction and atmosphere in the locality.And the cognitive image takes on a hierarchical structure pattern of"Dun-huang-History-Guancheng-the Great Wall-Jiayuguan-Scenic Area"as the core clustering.The evolution of cognitive image e-volves from humanistic resources to the comprehensive dimension of"humanity plus nature".2)The emotional evaluation of tourists is primarily positive and neutral emotion.Historical and cultural deposits are the main factors contributing to positive emotions,while the bundling selling of scenic spots ticket is an important factor triggering negative emotions;3)The overall image of tourists shows that the characteristics of the perception system are exmplicitly influenced by the dimensions of tourist attraction,tourism infrastructure,leisure and recreation,tourism environment and local atmosphere,and implicitly construc-ted by the function of cultural memory media.The research results bring some enlightenments for the image shaping,cultural heritage and local identity of heritage tourism destination.
The nonlinear matrix equation X+A*(R+B*XB)-tA=Q(t≥1)is derived from the discrete-time alge-braic Riccati equation.The sufficient conditions for the existence of Hermite positive definite solutions and the upper and lower bounds are given.The fixed point iteration and inverse-free iteration algorithms for solving the equation are constructed and the convergence of the algorithm is proved by using the monotone boundedness theorem.Finally,two numerical examples are giv-en to illustrate the effectiveness and feasibility of the proposed algorithm for solving the matrix equation.
The text editings of manuscripts is to rectify the content of an academic article,to standardize and normalize it,serving as an important means for quality assurance.In combination with the years of editing experience of the author,a probe was made into the commonly seen problems concerned with the text editing in daily practice and attention was given to come up with the governing principle of text editing,making the editing work go under the laws and regualtions and standards and legal norms,on the basis of correct political orientation,getting it done the work of text editing.
Based on LabVIEW programming language,a simulation teaching system for dielectric constant measurement is designed.The measurement system innovates by integrating multiple intelligent identification systems and virtual simulation platforms,so as to standardize students'experimental operations and strengthen students'awareness of"first preview,then ex-periment".By automatically visualizing the results,students can quickly analyze them.The relative error of the system fluctu-ates within the range of 6%,and the results are more accurate and reach the laboratory use level,which can allow students to have a clearer and intuitive understanding of the experimental principle and process,and help improve the quality of experimen-tal teaching.Considering the portability of the virtual simulation platform,the system can be promoted to many fields such as medical treatment and crop inspection.
To investigate the relationship in between parents'negative parenting,college students'psychological entitle-ment,Machiavellianism,and locus of control,457 college students were subjected to a questionnaire survey by means of the Parenting Style Scale,Powerful Others with Internal Control and Opportunities Scale,Locus of Control Scale,and Machiavel-lianism Ⅳ Scale.The findings show that negative parenting styles positively predict the psychological entitlement among indi-vidual college students;Machiavellianism fully mediates the relationship between negative parenting style and psychological en-titlement;and locus of control moderates the relationship between negative parenting style and psychological entitlement.The findings further clarify the mechanism by which negative parenting style affects psychological entitlement.
The study of the role of digital inclusive finance in promoting the process of rural revitalization in Anhui Prov-ince can provide an example of Anhui for the comprehensive realization of rural revitalization.Based on the panel data of 16 cit-ies in Anhui Province from 2012-2021,the fixed effect model and threshold model were used to empirically study the role of digital inclusive finance in promoting the process of rural revitalization in Anhui Province.The results show that digital inclu-sive finance has played a role in improving rural residents'income in the process of promoting rural revitalization in Anhui province,but the process is non-linear;From the dimension of digital inclusive finance,the coverage breadth,use depth and digitalization degree of digital inclusive finance can all play a role in improving the rural residents'income in Anhui province.From the perspective of influence mechanism,digital inclusive finance can improve rural residents'income in Anhui province by promoting the development of secondary and tertiary industries.
Tracing the origin of Chinese Gaokao mathematics examination questions is a reverse analytical exploratory ac-tivity based on Gaokao examination questions.The traceability of test questions centers on the analysis of the sources of mathe-matical logic,students'cognition,and textbook content.The study finds that the traceability of test questions can be applied to the practice of understanding the examination question and optimizing the solution by means of grasping the intuitive form,focusing on the conceptual feature and grasping the relation structure.
With the gradual implementation of the policy of"Double Reduction",to study the comprehensive difficulty of mathematics test questions in the senior high entrance examinations can help clarify the current situation of test question setting and grasp the direction of mathematics examination making in senior high entrance examination.Selecting the mathematics test questions for the 2020 to 2022 senior high entrance examination in Yunnan Province,analysis is done from the seven dimen-sions of background,whether or not the test includes parameters,operation,reasoning ability,knowledge content,direction of thinking and cognitive level,and the comprehensive difficulty coefficient is counted,and the commonalities and differences of the three sets of examination questions are found out:the proportion of questions with scientific background and reverse think-ing is relatively low;the proportion of each level in the dimension of knowledge content varies greatly and each has its own characteristics;the proportion of each level in the dimension of the cognitive level is relatively uneven;there are certain differ-ences in the overall difficulty coefficient.And based on such findings,the following suggestions are made:appropriate increase in the proportion of scientific background test questions to cultivate students'interdisciplinary application awareness;emphasis placed on the establishment of mathematical unit teaching to promote students'construction of a knowledge structure system;appropriate increase in the proportion of analytical test questions so as to intensify the cultivation of students'core mathemati-cal literacy;reasonable control of the comprehensive difficulty level of the senior high entrance mathematics examination ques-tions according to the curricular standards.
The stochastic bifurcation problem of a generalized Van der Pol system with fractional order delay excited by colored noise is studied.Firstly,the fractional derivative term is transformed into a linear combination of restoring force and damping force,using the principle of minimum mean square error,by calculating the error with the original system,the origi-nal fractional order system can be transformed into integer order system.Secondly,the generalized Van der Pol transformation is introduced,based on the stochastic averaging method for system of Itô stochastic differential equations and Fokker-Planck-Kolmogorov(FPK)equations.Finally,through the steady-state probability density function diagram of the system,it is veri-fied that the change of fractional derivative orderp and nonlinear damping coefficient μ can induce stochastic P-bifurcation of the system.
In the context of the new era of national advocacy of green development,green technology innovation,as an important means to achieve green transformation of enterprises,will be affected by the government's fiscal and tax incentive policies.Based on this,the data of Shanghai and Shenzhen A-share listed companies from 2011 to 2021 were selected as sam-ples to build a multiple regression model to empirically-study the impact mechanism of fiscal and tax incentive policies on enter-prises'green technology innovation.It is found that government subsidies can significantly enhance the green technology inno-vation ability of enterprises;The greater the tax incentives given by the government to enterprises,the better their green tech-nology innovation ability,and at the same time,it helps to enhance the promotion role of government subsidies to enterprises'green technology innovation ability.This study enriched the mechanism analysis between government fiscal and tax incentives and enterprises'green technology innovation ability,and provided a useful exploration for further promoting enterprises'green technology innovation ability and accelerating China's economic green transformation.
In view of the limitations of distance measure of interval valued dual hesitant fuzzy sets,the axiomatic defini-tion of distance measure of interval valued dual hesitant fuzzy sets is given,and the formula of distance measure of interval val-ued dual hesitant fuzzy sets based on the deviation of hesitancy degree and the complete deviation of membership degree and non-membership degree is given.The improved distance measure is measured from three information dimensions,more com-prehensively and objectively reflects the data information,and makes up for the shortcomings of the traditional distance meas-ure which needs to subjectively expand the data.Finally,a numerical example is given to verify the effectiveness and rationality of the improved distance measure.
The Bayes estimation and the empirical Bayes estimation of the two-parameter Weibull distribution scale pa-rameter are discussed under the weighted p,q symmetric entropy loss function.Firstly,when the shape parameter is known,the Bayes estimation of the scale parameter of Weibull distribution under inverse gamma prior distribution is given,then the empirical Bayes estimation of the scale parameter of Weibull distribution is given on the basis of the obtained Bayes estimation.Finally,the robustness and accuracy of the estimation are verified by data simulation using R program.The results show that the accuracy of empirical Bayes estimation is higher.
This paper analyzes a class of SEIR model for novel coronavirus with vaccination and discusses the parameter conditions for the existence of boundary and internal equilibrium of the system.Then,we give the local stability by calculating the basic reproduction number and further investigate the global stability by constructing Lyapunov function and variational ma-trix.When the basic reproduction number is smaller than 1,the system is local and globally asymptotically stable at the bound-ary equilibrium point;When the basic regeneration number is bigger than 1,the boundary equilibrium becomes unstable and the internal equilibrium is locally and globally asymptotically stable.Using Sotomayor theorem,it is proved that trans-critical bifurcation occurs the basic regeneration number crosses 1 near the boundary equilibrium.Finally,the stability of the system is demonstrated by numerical simulation,and the epidemic situation guidance suggestions are provided in combination with the actual biological mathematical significance.
In the context of high-quality and intelligent development of the construction industry,accelerating technolog-ical innovation,"industry-academia-research-application"collaborative innovation development model is on the agenda.Based on the analysis of the connotation characteristics and development mode of"industry-academia-research-application",this study establishes the"industry-academia-research-application"collaborative innovation model,and takes the"industry-academia-re-search-application"collaborative innovation model implemented by China Construction Technology Co.Through the overall R&D investment in the construction industry,we point out the problems of the"industry-academia-research-application"col-laborative innovation model implemented by China Construction Technology and the current situation as an example,and for-mulate corresponding innovation countermeasures.It is suggested that enterprises should improve their"industry-academia-re-search-application"collaborative innovation model in terms of innovative organizational design,perfect information communica-tion and sharing,coordinate resources of all parties,improve the level of collaborative management,establish a sound mecha-nism for transformation of scientific and technological achievements,and avoid disconnection between various links of"indus-try-academia-research-application".The"collaborative innovation mode"will improve the efficiency of enterprise scientific re-search.
Based on the theory of information geometry,the three-parameter burr distribution manifold is established,and a series of geometric properties of Fisher information matrix,inverse matrix,tensor,α-connection and Riemannian curva-ture are calculated.At the same time,we also give two submanifolds of three-parameter burr distribution manifoldsand calcu-late the related geometric properties.The geometric structure of three-parameter burr distribution can be further understood to solve related problems by using the calculation and relevant conclusions.
Population aging,the elderly empty-nesters phenomenon and the weakening of family support of the elderly in recent years have accelerated the rapid growth of institutional elderly care services in Chengdu.Based on the data of elderly care institutions in Chengdu from 1950 to 2020,the development process,through the combined use of spatial analysis and litera-ture analysis methods like the nearest neighbor index,kernel density analysis and spatial autocorrelation analysis,the paper probes into the spatial evolution process and influencing factors of elderly care institutions in Chengdu.The results show that:(1)the development of elderly care institutions in Chengdu is divided into four stages in time line:embryonic stage(1950-1960),exploratory stage(1961-1999),take-off stage(2000-2018)and high-quality development stage(2019-2020),and takes on the regional and spatial process of isolated distribution,scattered distribution and circular distribution in turn;(2)Nursing homes,apartments for the elderly and nursing houses are increasingly scarcely found from the central urban area to the suburbs,while nursing homes,welfare homes and sanatoriums on the contrary,increase in number from the central urban area to the suburbs.All types of elderly care institutions have different degrees of spatial aggregation and form aggregation cores of different sizes,of which the spatial aggregation of the outer edge of the first circle and the second circle are the most significant in terms of spatial aggregation;(3)The elderly population distribution,economic development,traffic conditions,medical re-sources,supporting facilities and policy factors are the major influencing factors of the spatial differentiation of elderly care in-stitutions.
