
This paper considers the uniqueness of KKT multipliers for vector optimization problems.It has studied the uniqueness of KKT multipliers for non-linear problems by Kyparisis,but the characterization obtained does not provide satisfactory results for vector optimization.Moreover,this paper introduces a new regularity condition related to the objective function,which is shown to be a necessary and sufficient condition for having unique KKT multipliers.Further,it redefines a second-order necessary optimality condition by using this condition.
In response to the dilemma of Hawk-Dove game,this study establishes a quantum Hawk-Dove game model with indirect reciprocity under kin selectionby combining cooperation mechanisms with quantum Hawk-Dove game.Then,based on the replicated dynamic equation and the corresponding Jacobian matrix,it calculates the stability conditions of the game equilibrium point.The results show that when the entanglement and discrimination are less than the critical values,the evolutionary stability strategies are(betray,cooperation)and(cooperation,betray).When the entanglement is larger than the critical value,the evolutionary stability strategy is(cooperation,cooperation).Finally,theoretical analysis and numerical simulation finds that entanglement,correlation,and discrimination can all positively promote game cooperation.To ensure stable cooperation in the game system,the values of the three parameters should be increased.
With the rapid increase in the amount of information,it is difficult for traditional relational databases to achieve real-time and efficient retrieval of the information users need,and conduct short text search on information segmentation and keyword combinations,which also makes it a thorny problem to optimize the recommended display of information retrieval results.In light of this,this paper uses a distributed search engine based on ElasticSearch,and adopts technologies such as word segmentation and inverted indexing to better solve the problem of frequent retrieval of large amounts of information.At the same time,during the research process,it also introduces code to realize basic function search and geographic location search and carry out recommendation display through score sorting.
In order to solve the problem that the light factor has great influence on the accuracy of face recognition,this study proposes a facial recognition method based on histogram equalization,Local Binary Patterns(LBP)and Convolutional Neural Networks(CNN).This method,firstly,uses histogram equalization to improve image gray distribution and local contrast.Then,it uses the rotation invariant LBP operator which is robust to illumination to extract the spatial features of the face and send them as the input of CNN network.Finally,on the basis of keeping the initial neural network model unchanged,it modifies the number of convolution kernels in each convolutional layer and the number of network layers by adopting the comparative experiment method to obtain the best model.The experimental results find that this proposed method can achieve 99.71%,99.78%and 99.15%classification accuracy on Colorferet data,FERET data and ORL data,respectively.And it is not only significantly better than other existing methods,but also has good robustness to illumination changes.
This study analyzes the effect of functional rehabilitation training on adolescent idiopathic scoliosis for the purpose of providing reference for related personnel.It selects forty-six adolescent patients with idiopathic scoliosis treated in our hospital from 2020.9 to 2021.9 as the research objects and divides them into new group(23 cases)and traditional group(23 cases)according to the differences of intervention methods of subjects.The traditional group is received conventional strength training and the new group is received functional rehabilitation training.It compares the change of spine morphology andits function of the two groups between and after the experiment.The results show that the Cobb Angle of patients in the new group is smaller than that in the traditional group after half a year of intervention,with statistical significance between groups(P<0.05).The comparison of trunk and vertebral rotation angle between the two group shows no statistical significance(P>0.05),which,however,has a tendency of declining.The scores of lumbagos and Oswestry dysfunction in the new group are lower than those in the traditional group,and the scores of life satisfaction were higher than those in the traditional group(P<0.05)after half a year of intervention.Bases on these results,it concludes that for adolescent patients with idiopathic scoliosis,functional rehabilitation training can achieve satisfactory results,and this program is worthy of further promotion and application in the clinic.
Based on PCK theory and guided by the development of students'core literacy,this paper carries out the teaching design of"the transformation of ferric salts and ferrous salts"with five lines in one,and to develop students'core literacy of chemistry.
Based on the statistics ofstudents participation in postgraduate entrance examination for successive seven years,this paper summarizes the influence of the motivation to take the postgraduate entrance examination,the function of examples,scientific research training and other supports on students success in this examination,and finds out the problems that needs to be solved.It puts forward some suggestions and countermeasures for establishing the supporting mechanism for students taking Inpostgraduate entrance examination and further boosting the admission rate of postgraduate entrance examination.
Linear reproductive dispersion models(LRDMS)are the natural generalization of linear regression models,generalized linear models and exponential linear models.Maximum Lq-likelihood estimator(MLqE)is a new parametric estimator based on nonextensive entropy,which is a generalization of maximum likelihood estimation.In this paper,MLqE is used to study LRDM,the weak consistency and asymptotic normality of MLqE of RDLM are obtained under certain assumptions.Finally,it is illustrated by a simulation example:parametric estimator gets closer to the true value with the increasing of n,and the parametric estimator of MLqE is close to the parameter estimate of MLE.
To detect the expression level of CD55(complement decay-accelerating factor,CD55)in serum of patients'with lung cancer and explore the clinicopathological characteristics,this study collects the serum and clinical case detection indexes of 42 benign patients and 48 lung cancer patients,detects the expression level of CD55 in their serum,analyzes the relationship between the expression level of CD55 and the clinical parameters of patients,and investigates the performance of CD55 in diagnosing of benign from malignant nodules and survival assessment effect.It finds that CD55 mRNA expression levels decrease in lung squamous cell carcinoma tissues and CD55 expression levels in serum reduces significantly.TISIDB database analysis suggests that the expression level of CD55 in LUAD is negatively correlated with CD8+ T cells,and the expression level of CD55 in LUSC is significantly positively correlated with NK cells,macrophages and neutrophils.Receiver operating characteristic(ROC)analysis shows that CD55 has a better effect on distinguishing benign tumors from other tumor markers such as CEA、CA125、SCCA,with an AUC value of 0.744.Correlation analysis proves that CD55 expression is significantly correlated with alpha-fetoprotein,carbohydrate antigen CA724 and Golgi protein 73 in serum of patients,and CD55 expression is significantly correlated with coagulation indexes in lung cancer patients.In addition,survival analysis indicates that lung cancer patients with low CD55 expression have shorter survival times,which is more pronounced in early-stage lung cancer.Further analysis by TISIDB finds that CD55 mRNA expression has no significant association with survival and tumor stage,however,which is significantly correlated with the immune subtypes of LUSC patients.There also exists a significant association with the molecular subtypes of LUSC patients.In conclusion,this study reveals that CD55 has the possibility to be used as a diagnostic and prognostic biomarker for lung cancer.
Under the background of the new agricultural science,it is a hot topic and new common trend to carry out blended teaching reform and innovation in university mathematics courses.Taking the course"probabilityand mathematical statistics"as an example,this paper analyzes the process and significance of blended teaching innovation,and discusses the optimization of ideas and strategies in view of the difficulties faced in the innovative practice.Reconstruct pre class learning tasks around the issue of"effectiveness of autonomous learning".Deepen classroom teaching design around the issue of"deep learning matching".Integrating quantitative evaluation modules around the issue of"dispersivity of multiple evaluation".
There are problems existing in the teaching of Digital ElectronicTechnology,for instance,the traditional teaching mode is not suitable for the rapid development of electronic technology;the class hours are insufficient to complete the teaching content;and it is difficult to balance theorical study and practical learning.To solve these problems,this paper proposed to adopt blended teaching mode with the integration of"online + offline,theory + practice,simulation + physical objects,school + enterprise"teaching and explained the specific implementation process of this mode with The Counter and its Application in the course of Digital Electronic Technology as an example.Teaching practice shows that this blended teaching can better stimulate students'learning enthusiasm,improve students'professional quality,promote students'engineering ability and innovation ability,and enhance students'sense of social responsibility.
Urban development plays a crucial role in the entire process of social change,but it will be inevitably hindered by the occurrence of waterlogging and drought to a certain extent.Sponge city is a new concept of urban development,in which the high permeability design of the urban underlying surface can better prevent floods and meet the needs of sustainable urban development.Sunken green space,a project that integrates the functions of regulating,retaining,purifying runoff rainwater and landscape,can save water resources,improve ecological environment,and beautify the city.It is an important component of building sponge cities.From the actual point of view,this paper will take the supercomputing center project as an example,put forward the principles of plant configuration of sunken green space to discuss the existing problems and design techniques of the plant configuration of sunken green space,summarize the types of plant configuration of sunken green space,and conduct a detailed analysis on the plant configuration of sunken green space based on the concept of Sponge city.
Objective:To explore the research highlights,frontiers and trends of the application of finite element analysis in sports biomechanics,and to provide reference for future research in this field.Methods:Using CiteSpace visualization software,taking 240 Chinese documents in China National Knowledge Infrastructure and 283 English documents in Web of Science from 2001 to 2022 as samples,the knowledge map was generated by keyword cluster analysis,author and affiliated organization analysis,and sudden word detection.Results:In recent twenty years,the application research of finite element analysis in sports biomechanics has been on the rise.Professor Gilchrist of the University of Dublin,USA,is the scholar with the largest number of articles.Anterior cruciate ligament and head are the keywords with the longest emergence time and the highest emergence intensity,respectively.Conclusion:Based on the interdisciplinary of sports and biomedical engineering,the geometric model reconstruction of knee joint and head,the simulation analysis of football,badminton,ice hockey and other special movements and the exploration of injury mechanics mechanism are the current research highlights,while the simulation analysis of foot-shoe and ankle joint is a prospective research.In the future,it is necessary to strengthen the cooperation among the authors and actively explore the mechanical response and damage mechanism of the internal structure of human body during exercise.
For three-block separable convex optimization problems with linear constraints,this study proposes and an iterative form of the Peaceman-Rachford(PR)splitting method with Bregman distance and makes some improvement on this method.Then,it exploresthe global convergence of the algorithm under the framework of variational inequalities and gives the worst-case convergence rate of in the traversal sense.
This study develops a new method for the determination of Cr(Ⅵ)in environmental water samples and food samples,which uses nitrogen-doped silicon quantum dots(N-SiQDs)as fluorescent probes.It finds that the fluorescence intensity of N-SiQDs presents a good linear relationship with the concentration of Cr(Ⅵ)at λex =360 nm.And the linear ranges are 0.5~5.0 μg mL-1 and 5.0~12.0 μg mL-1,with the detection limits of 0.16 μg mL-1 and RSD =0.56%.This developed method has also been successfully used for the detection of Cr(Ⅵ)in different matrix samples.It is efficient,easy to operation,low in cost and has high sensitivity.
With the modernization and development of cities and towns,some substations have been or will be built in densely populated areas.During the operation of the substation,it is inevitable for the transformer to generate audible noise to produce a direct impact on the nearby residents and the surrounding environment.Based on the transformer's noise generation mechanism,this study uses the MATLAB simulation to conduct estimation analysis onthe noise power spectrum of power transformer,and probes into the transformer noise propagation characteristics.It is concluded that the transformer noise is low in frequency,and wave for each frequency carries power reduction with the noise tramsmission,which is instructive to work out measure for the reduction of transformer noise.
Driven by innovation and employment strategies,this paper analyzes the common problems of electrical majors in local colleges and universities in the course of"Electrical Part of Power Plants",and points out that experimental teaching conditions and theoretical teaching methods are the key factors to restrict the cultivation of innovative and applied talents.With the adoption of the virtual simulation teaching mode and driven by engineering projects,it introduces actual employment as the guidance and comprehensive practice competition as a carrier to build a mixed theoretical teaching system integrated with curriculum ideology and politics,which can cultivate students'practical ability to explore problems in an open and independent way and their practical ability to analyze and solve engineer problems.It has been proved by practice that this study has gained good results,which can provide certain reference for the cultivation of applied innovative talents in local colleges and universities.
In the context of education informatization,instructional system design has received wide-ranging concerns from the academic community in the past decade and become a popular topic in the field of education.In order to explore the current situation and hot spots in the domestic instructional system design research field,this study uses the bibliometric method to visualize and analyze the publication trend,partnership,and keyword clustering of 591 related literatures in CNKI database from January 2013 to December 2022 through CiteSpace,Python,and GraphPad Prism 9 tools.It finds that:the number of publications in this research field in China is increasing,but the number of publications from normal universities and educational technology journals are decreasing due to their insufficient participation;the distribution of overall publications of researchers and institutions are even with low cooperation frequency between disciplines;the research contents of five major themes,such as instructional system,network teaching,experimental teaching,virtual reality,and instructional design,are closely related to each other,which attract the active engagement of educational technology journals and researchers from normal universities.
Augmented reality technology provides substantial technical support for the field of education,which integrates virtual 3D models on the real world to createa teaching situation with the combination of virtuality and reality for students,making knowledge livelier and more immersive and helping students explore knowledge more conveniently.Based on this,this study develops an Augmented Reality geography teaching softwareby integrating the Augmented Reality technology with junior high school geography teaching.First,it summarizes the problems existing in junior high school geography teaching;secondly,it takes junior high school geography"Knowing the Earth"as an example and design an augmented reality geography teaching software with the help of Unity3D development tools,in which process environment construction,material resource preparation,scene production and function realization are included.Finally,it applies the virtual model generated by augmented reality technology to teaching in the form of learning tools by scanning textbooks.
皮质醇和肾上腺素通常被认为是与压力相关的生理指标分子,肾上腺素还与睾酮的分泌相关,但是这些分子的拉曼光谱特征峰与血红蛋白的拉曼光谱特征峰互相重叠,难以区分.结合拉曼光谱学与人工智能算法,可将这些生理指标分子的拉曼光谱特征从二元和三元水相混合物中提取出来,实现同时对多个生理指标分子的定量分析.进一步使用卷积神经网络(CNN)可以提高分析性能,将实现高于94%的准确率,为将来全面健康监测提供便利.