Rapid and timely testing is essential to minimize the COVID-19 spread. Decision makers and policy planners need to determine the equal distribution and accessibility of testing sites. This study mainly examines the sp...Rapid and timely testing is essential to minimize the COVID-19 spread. Decision makers and policy planners need to determine the equal distribution and accessibility of testing sites. This study mainly examines the spatial equality of COVID-19 testing sites that maintain a zero COVID policy in Guangzhou City. The study has identified the spatial disparities of COVID testing sites, characteristics of testing locations, and accessibility. The study has obtained information on COVID testing sites in Guangzhou City and population data. Point pattern analyses, Euclidian distance and allocation, and network analyses are the main methods used to achieve the research objectives, and 1183 total COVID testing sites can be recognized in Guangzhou City. Results revealed that spatial disparities could be noticed over the study area. Testing locations of Guangzhou City are highly clustered. The most significant testing sites are located in Haizhu District, which has the third largest population. The highest population density can be identified in Yuexiu District. However, only 94 testing sites are located there. According to all the results, higher disparities can be identified, and a lack of testing sites is located in the north part of the study area. Some people in the northern part have to travel more than 10 km to reach a testing site. Finally, this paper suggests increasing the number of testing sites in the north and south parts of the study area and keeping the same distribution, considering the area, total population, and population density. This kind of research will be helpful to decision-makers in making proper decisions to maintain a zero COVID policy.展开更多
Gender equality is a significant issue in the economic and social sectors.A McKinsey study found that promoting gender equality in the workplace could contribute US$13 trillion to global GDP growth.And if China reache...Gender equality is a significant issue in the economic and social sectors.A McKinsey study found that promoting gender equality in the workplace could contribute US$13 trillion to global GDP growth.And if China reaches the forefront of gender equality in the workplace in the Asia-Pacific region,it would generate about US$3 trillion in GDP.展开更多
In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solv...In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solving an equivalent functional equation. We obtain the necessary and sufficient conditions for the equality equation.展开更多
The vehicular sensor network (VSN) is an important part of intelligent transportation, which is used for real-timedetection and operation control of vehicles and real-time transmission of data and information. In the ...The vehicular sensor network (VSN) is an important part of intelligent transportation, which is used for real-timedetection and operation control of vehicles and real-time transmission of data and information. In the environmentofVSN, massive private data generated by vehicles are transmitted in open channels and used by other vehicle users,so it is crucial to maintain high transmission efficiency and high confidentiality of data. To deal with this problem, inthis paper, we propose a heterogeneous fault-tolerant aggregate signcryption scheme with an equality test (HFTASET).The scheme combines fault-tolerant and aggregate signcryption,whichnot onlymakes up for the deficiency oflow security of aggregate signature, but alsomakes up for the deficiency that aggregate signcryption cannot tolerateinvalid signature. The scheme supports one verification pass when all signcryptions are valid, and it supportsunbounded aggregation when the total number of signcryptions grows dynamically. In addition, this schemesupports heterogeneous equality test, and realizes the access control of private data in different cryptographicenvironments, so as to achieve flexibility in the application of our scheme and realize the function of quick searchof plaintext or ciphertext. Then, the security of HFTAS-ET is demonstrated by strict theoretical analysis. Finally, weconduct strict and standardized experimental operation and performance evaluation, which shows that the schemehas better performance.展开更多
Article 1088 of China's Civil Code grants the right to seek economic compensation in divorce cases.However,significant confusion persists regarding the values,interpretations of doctrine,and legal techniques relat...Article 1088 of China's Civil Code grants the right to seek economic compensation in divorce cases.However,significant confusion persists regarding the values,interpretations of doctrine,and legal techniques related to this compensation.Various viewpoints have emerged on the nature of compensation,including notions of household wages,human capital investment,moral obligation,and damages recovery.Concerning compensation standards,there are proposals such as the“humanitarian assistance”theory,“household wages”theory,“expected interest”theory,or“loss of interest”theory.By examining the evolution,legal principles,and practical applications of economic compensation for divorce from a human rights perspective,we aim to establish the legal foundation for this compensation,grounded in principles of gender equality.It clarifies that the compensation essentially confirms and restores individual development opportunities and the right to development in the context of gender inequality.This approach aims to provide a more coherent interpretation of clauses of economic compensation for divorce in terms of legal purposes,legal doctrines,and legal techniques,thus offering a more reasonable perspective to reconcile theoretical and practical discrepancies in economic compensation for divorce.展开更多
The inequality faced by the elderly in a digital society is the digital inequality caused by both public and private actions,as well as the societal inequality exacerbated by the digital inequality.The essence of this...The inequality faced by the elderly in a digital society is the digital inequality caused by both public and private actions,as well as the societal inequality exacerbated by the digital inequality.The essence of this issue lies in the unequal social participation due to the expansion of digital space under digital inequality.The characteristics of the elderly,combined with their inherent human dignity,determine that the ultimate goal of protecting their right to equality in a digital society is not limited to equal digital rights alone.Instead,it aims to ensure that the elderly have equal opportunities for social participation in both digital and non-digital spaces by eliminating digital inequality and curbing the expansion of digital space.This ensures the autonomy of the elderly in the digital society.Accordingly,the State should implement two policies based on both prohibitive obligations that prevent direct infringements and protective obligations that safeguard the equal rights of the elderly against encroachments from private entities.The first policy,“Digital Integration”,empowers the elderly with digital skills and helps them actively integrate into the digital society.The second policy,“Digital Coexistence,”ensures that the elderly can equally participate in society even when they choose to abstain from digital technology.展开更多
This article explores the rise of the Chinese women’s basketball team in professional basketball and its relationship to gender equality issues.In view of the gender differences in salary,market value,social status,a...This article explores the rise of the Chinese women’s basketball team in professional basketball and its relationship to gender equality issues.In view of the gender differences in salary,market value,social status,and other aspects,the article proposes a series of strategies to promote the realization of gender equality for female basketball players in professional basketball.This article points out that the rise of the Chinese women’s basketball team will lead the process of gender equality and lay the foundation for a more equitable and inclusive future.To achieve this goal,this article highlights the importance of improving the competitive level of female athletes,improving basic education,promoting basketball culture,and promoting gender equality.展开更多
The assay argues that the Equality-Inequality dialectics is a very complex issue,which reflects many social dilemmas.On one side are the state official commitments to secure,maintain and protect all kinds of formal eq...The assay argues that the Equality-Inequality dialectics is a very complex issue,which reflects many social dilemmas.On one side are the state official commitments to secure,maintain and protect all kinds of formal equalities.On the other side are the natural and genetic distinctions that differ between human-beings while creating and maintaining inequality.In fact,this is kind of a contradiction exists in many fields of social sciences.The essay’s author reviews some of the relevant historical events,such as social mobility,individualism and education and points out on future solutions.Among the proposed suggestions are:1)Embracing Frankl’s giving“Meaning to Life”as a leverage for increasing pleasure of life;2)Recognizing and promoting Creative Individualism as the legitimized ground for inequality;3)Increasing Social Cohesion,required for social empowerment and attaining security and happiness.展开更多
This essay aims to discuss and analyse Jane Eyre and Mr. Rochester's attitude towards love and marriage. Struggling for theequality of human dignity crosses through their love from beginning to end. Therefore, we ...This essay aims to discuss and analyse Jane Eyre and Mr. Rochester's attitude towards love and marriage. Struggling for theequality of human dignity crosses through their love from beginning to end. Therefore, we can draw a conclusion--True love and happymarriage are based upon the equality of human dignity between a couple.展开更多
In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presenc...In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presence of equality and inequality constraints. As an application of Karush-Kuhn-Tucker type optimality conditions, a Mond-Weir type dual to this problem is formulated and various duality results are established under generalized invexity assumptions. Finally, a special case is deduced from our result.展开更多
In this paper, the nonnull moments and the distributions of the likelihood ratio criterion for testing the equality of diagonal blocks with blockwise independence under certain alternatives have derived.
Spatial equality of access to basic public services, especially medical care services which are directly related to life safety, is the first step to achieve the goal of equalization of basic public services for all t...Spatial equality of access to basic public services, especially medical care services which are directly related to life safety, is the first step to achieve the goal of equalization of basic public services for all the people proposed by central government of China. Using the spatial analysis and the statistical analysis, this study evaluates the spatial differentiation of medical care facilities accessibility by constructing STT(Shortest Travel-Time) and SAI(Spatial Accessibility Index). And then this study explores the neighborhood effects on the medical care facilities accessibility in Beijing, with a particular focus on the effect of neighborhood migrant proportion by constructing spatial dependent regression model. The spatial accessibility analysis of medical care facilities show that the spatial distribution of medical care facilities was basically consistent with administrative regions but not with population demands. Bivariate LISA cluster maps identify that suburban areas are the overlapped clusters of high percent of migrants and limited medical care services. This is associated with the public service allocation rule in China, which stresses equality within urban areas and within rural areas but overlooks equality between urban areas and rural areas; and stresses local resident demands but overlooks migrant demands. To estimate the effects on medical care accessibility of neighborhood migrant proportion, spatial dependence models are applied due to spatial dependence of accessibility of medical care facilities. The regression results show that neighborhoods with high percent of migrants, even conditioning on neighborhood SES, are related to limited spatial accessibility of medical care services. Besides neighborhood characteristics, another important factor influencing spatial accessibility of medical care services is the process of spatial spillover effects. This indicates that the attenuate accessibility of medical care services for migrants is not only because of their own constraints but also because of their proximity to other disadvantaged neighborhoods. Therefore, it is urgently needed to increase the medical facilities in the suburban areas, to take into account migrants' demands and to reduce residential segregation between local residents and migrants for local governments to achieve the goal of equalization of medical care service.展开更多
The reasonable prior information between the parameters in the adjustment processing can significantly improve the precision of the parameter solution. Based on the principle of equality constraints, we establish the ...The reasonable prior information between the parameters in the adjustment processing can significantly improve the precision of the parameter solution. Based on the principle of equality constraints, we establish the mixed additive and multiplicative random error model with equality constraints and derive the weighted least squares iterative solution of the model. In addition, aiming at the ill-posed problem of the coefficient matrix, we also propose the ridge estimation iterative solution of ill-posed mixed additive and multiplicative random error model with equality constraints based on the principle of ridge estimation method and derive the U-curve method to determine the ridge parameter. The experimental results show that the weighted least squares iterative solution can obtain more reasonable parameter estimation and precision information than existing solutions, verifying the feasibility of applying the equality constraints to the mixed additive and multiplicative random error model. Furthermore, the ridge estimation iterative solution can obtain more accurate parameter estimation and precision information than the weighted least squares iterative solution.展开更多
A trust-region algorithm is presented for a nonlinear optimization problem of equality-constraints. The characterization of the algorithm is using inexact gradient information. Global convergence results are demonstra...A trust-region algorithm is presented for a nonlinear optimization problem of equality-constraints. The characterization of the algorithm is using inexact gradient information. Global convergence results are demonstrated where the gradient values are obeyed a simple relative error condition.展开更多
Let H;, H;, H;be real Hilbert spaces, let A : H;→ H;, B : H;→ H;be two bounded linear operators. The split equality common fixed point problem(SECFP) in the infinite-dimensional Hilbert spaces introduced by Moudaf...Let H;, H;, H;be real Hilbert spaces, let A : H;→ H;, B : H;→ H;be two bounded linear operators. The split equality common fixed point problem(SECFP) in the infinite-dimensional Hilbert spaces introduced by Moudafi(Alternating CQ-algorithm for convex feasibility and split fixed-point problems. Journal of Nonlinear and Convex Analysis)is to find x ∈ F(U), y ∈ F(T) such that Ax = By,(1)where U : H;→ H;and T : H;→ H;are two nonlinear operators with nonempty fixed point sets F(U) = {x ∈ H;: Ux = x} and F(T) = {x ∈ H;: Tx = x}. Note that,by taking B = I and H;= H;in(1), we recover the split fixed point problem originally introduced in Censor and Segal. Recently, Moudafi introduced alternating CQ-algorithms and simultaneous iterative algorithms with weak convergence for the SECFP(1) of firmly quasi-nonexpansive operators. In this paper, we introduce two viscosity iterative algorithms for the SECFP(1) governed by the general class of quasi-nonexpansive operators. We prove the strong convergence of algorithms. Our results improve and extend previously discussed related problems and algorithms.展开更多
This paper proves that the weighting method via modified Gram-Schmidt(MGS) for solving the equality constrained least squares problem in the limit is equivalent to the direct elimination method via MGS(MGS-eliminat...This paper proves that the weighting method via modified Gram-Schmidt(MGS) for solving the equality constrained least squares problem in the limit is equivalent to the direct elimination method via MGS(MGS-elimination method). By virtue of this equivalence, the backward and forward roundoff error analysis of the MGS-elimination method is proved. Numerical experiments are provided to verify the results.展开更多
The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Und...The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.展开更多
At the beginning of my speech, I would like to thank the Partners in Population and Development for offering us an ideal forum to share experience and discuss ways to move forward concepts prompted by ICPD Cairo confe...At the beginning of my speech, I would like to thank the Partners in Population and Development for offering us an ideal forum to share experience and discuss ways to move forward concepts prompted by ICPD Cairo conference.展开更多
Coutsourides (1980) derives an ad hoc nuisance parameter removal test for testing the equality of two multiple correlation coefficients of two independent p variate normal populations, under the assumption that a samp...Coutsourides (1980) derives an ad hoc nuisance parameter removal test for testing the equality of two multiple correlation coefficients of two independent p variate normal populations, under the assumption that a sample of size n is available from each population. He also extends his ad hoc nuisance parameter removal test to the testing of the equality of two multiple correlation matrices. This paper presents likelihood ratio tests for testing the equality of k multiple correlation coefficients, and also k partial correlation coefficients.展开更多
The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production ...The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production resulting from the heat absorbed by the system from the thermal bath. For the system violating this condition, a more general form of JE may exist. This existence is verified by three Gedanken experiments and numerical simulations, and may be confirmed by the real experiment in the nanoscale.展开更多
文摘Rapid and timely testing is essential to minimize the COVID-19 spread. Decision makers and policy planners need to determine the equal distribution and accessibility of testing sites. This study mainly examines the spatial equality of COVID-19 testing sites that maintain a zero COVID policy in Guangzhou City. The study has identified the spatial disparities of COVID testing sites, characteristics of testing locations, and accessibility. The study has obtained information on COVID testing sites in Guangzhou City and population data. Point pattern analyses, Euclidian distance and allocation, and network analyses are the main methods used to achieve the research objectives, and 1183 total COVID testing sites can be recognized in Guangzhou City. Results revealed that spatial disparities could be noticed over the study area. Testing locations of Guangzhou City are highly clustered. The most significant testing sites are located in Haizhu District, which has the third largest population. The highest population density can be identified in Yuexiu District. However, only 94 testing sites are located there. According to all the results, higher disparities can be identified, and a lack of testing sites is located in the north part of the study area. Some people in the northern part have to travel more than 10 km to reach a testing site. Finally, this paper suggests increasing the number of testing sites in the north and south parts of the study area and keeping the same distribution, considering the area, total population, and population density. This kind of research will be helpful to decision-makers in making proper decisions to maintain a zero COVID policy.
文摘Gender equality is a significant issue in the economic and social sectors.A McKinsey study found that promoting gender equality in the workplace could contribute US$13 trillion to global GDP growth.And if China reaches the forefront of gender equality in the workplace in the Asia-Pacific region,it would generate about US$3 trillion in GDP.
文摘In this paper, we considered the equality problem of weighted Bajraktarević means with weighted quasi-arithmetic means. Using the method of substituting for functions, we first transform the equality problem into solving an equivalent functional equation. We obtain the necessary and sufficient conditions for the equality equation.
基金supported in part by the Open Fund of Advanced Cryptography and System Security Key Laboratory of Sichuan Province under Grant SKLACSS-202102in part by the Intelligent Terminal Key Laboratory of Sichuan Province under Grant SCITLAB-1019.
文摘The vehicular sensor network (VSN) is an important part of intelligent transportation, which is used for real-timedetection and operation control of vehicles and real-time transmission of data and information. In the environmentofVSN, massive private data generated by vehicles are transmitted in open channels and used by other vehicle users,so it is crucial to maintain high transmission efficiency and high confidentiality of data. To deal with this problem, inthis paper, we propose a heterogeneous fault-tolerant aggregate signcryption scheme with an equality test (HFTASET).The scheme combines fault-tolerant and aggregate signcryption,whichnot onlymakes up for the deficiency oflow security of aggregate signature, but alsomakes up for the deficiency that aggregate signcryption cannot tolerateinvalid signature. The scheme supports one verification pass when all signcryptions are valid, and it supportsunbounded aggregation when the total number of signcryptions grows dynamically. In addition, this schemesupports heterogeneous equality test, and realizes the access control of private data in different cryptographicenvironments, so as to achieve flexibility in the application of our scheme and realize the function of quick searchof plaintext or ciphertext. Then, the security of HFTAS-ET is demonstrated by strict theoretical analysis. Finally, weconduct strict and standardized experimental operation and performance evaluation, which shows that the schemehas better performance.
基金a phased result of the Chongqing Municipal Education Commission’s Base Project titled“Research on the Chinese Voice,Chinese Connotation,and Chinese Contribution Regarding the Common Values for All Mankind”(Project No.22SKJD015)the Southwest University of Political Science and Law’s school-level scientific research project titled“Research on the Concept of Distributive Justice in Chinese Path to Modernization”(Project No.2023XZZXYB-06)。
文摘Article 1088 of China's Civil Code grants the right to seek economic compensation in divorce cases.However,significant confusion persists regarding the values,interpretations of doctrine,and legal techniques related to this compensation.Various viewpoints have emerged on the nature of compensation,including notions of household wages,human capital investment,moral obligation,and damages recovery.Concerning compensation standards,there are proposals such as the“humanitarian assistance”theory,“household wages”theory,“expected interest”theory,or“loss of interest”theory.By examining the evolution,legal principles,and practical applications of economic compensation for divorce from a human rights perspective,we aim to establish the legal foundation for this compensation,grounded in principles of gender equality.It clarifies that the compensation essentially confirms and restores individual development opportunities and the right to development in the context of gender inequality.This approach aims to provide a more coherent interpretation of clauses of economic compensation for divorce in terms of legal purposes,legal doctrines,and legal techniques,thus offering a more reasonable perspective to reconcile theoretical and practical discrepancies in economic compensation for divorce.
基金stage result of the youth project of the National Social Science Foundation of China——“Research on the Theoretical Development of Administrative Organisation Law in the Context of Institutional Reform”(Project No.19CFX020)。
文摘The inequality faced by the elderly in a digital society is the digital inequality caused by both public and private actions,as well as the societal inequality exacerbated by the digital inequality.The essence of this issue lies in the unequal social participation due to the expansion of digital space under digital inequality.The characteristics of the elderly,combined with their inherent human dignity,determine that the ultimate goal of protecting their right to equality in a digital society is not limited to equal digital rights alone.Instead,it aims to ensure that the elderly have equal opportunities for social participation in both digital and non-digital spaces by eliminating digital inequality and curbing the expansion of digital space.This ensures the autonomy of the elderly in the digital society.Accordingly,the State should implement two policies based on both prohibitive obligations that prevent direct infringements and protective obligations that safeguard the equal rights of the elderly against encroachments from private entities.The first policy,“Digital Integration”,empowers the elderly with digital skills and helps them actively integrate into the digital society.The second policy,“Digital Coexistence,”ensures that the elderly can equally participate in society even when they choose to abstain from digital technology.
基金Research on the Construction and Application of Intelligent Educational Literacy Assessment Model for College Physical Education Teachers(23BYPT07)。
文摘This article explores the rise of the Chinese women’s basketball team in professional basketball and its relationship to gender equality issues.In view of the gender differences in salary,market value,social status,and other aspects,the article proposes a series of strategies to promote the realization of gender equality for female basketball players in professional basketball.This article points out that the rise of the Chinese women’s basketball team will lead the process of gender equality and lay the foundation for a more equitable and inclusive future.To achieve this goal,this article highlights the importance of improving the competitive level of female athletes,improving basic education,promoting basketball culture,and promoting gender equality.
文摘The assay argues that the Equality-Inequality dialectics is a very complex issue,which reflects many social dilemmas.On one side are the state official commitments to secure,maintain and protect all kinds of formal equalities.On the other side are the natural and genetic distinctions that differ between human-beings while creating and maintaining inequality.In fact,this is kind of a contradiction exists in many fields of social sciences.The essay’s author reviews some of the relevant historical events,such as social mobility,individualism and education and points out on future solutions.Among the proposed suggestions are:1)Embracing Frankl’s giving“Meaning to Life”as a leverage for increasing pleasure of life;2)Recognizing and promoting Creative Individualism as the legitimized ground for inequality;3)Increasing Social Cohesion,required for social empowerment and attaining security and happiness.
文摘This essay aims to discuss and analyse Jane Eyre and Mr. Rochester's attitude towards love and marriage. Struggling for theequality of human dignity crosses through their love from beginning to end. Therefore, we can draw a conclusion--True love and happymarriage are based upon the equality of human dignity between a couple.
文摘In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presence of equality and inequality constraints. As an application of Karush-Kuhn-Tucker type optimality conditions, a Mond-Weir type dual to this problem is formulated and various duality results are established under generalized invexity assumptions. Finally, a special case is deduced from our result.
文摘In this paper, the nonnull moments and the distributions of the likelihood ratio criterion for testing the equality of diagonal blocks with blockwise independence under certain alternatives have derived.
基金Under the auspices of National Natural Science Foundation of China(No.41701151)MOE(Ministry of Education in China)Project of Humanities and Social Sciences(No.17YJCZH256)Doctoral Project of Tianjin Normal University(No.52XB1621)
文摘Spatial equality of access to basic public services, especially medical care services which are directly related to life safety, is the first step to achieve the goal of equalization of basic public services for all the people proposed by central government of China. Using the spatial analysis and the statistical analysis, this study evaluates the spatial differentiation of medical care facilities accessibility by constructing STT(Shortest Travel-Time) and SAI(Spatial Accessibility Index). And then this study explores the neighborhood effects on the medical care facilities accessibility in Beijing, with a particular focus on the effect of neighborhood migrant proportion by constructing spatial dependent regression model. The spatial accessibility analysis of medical care facilities show that the spatial distribution of medical care facilities was basically consistent with administrative regions but not with population demands. Bivariate LISA cluster maps identify that suburban areas are the overlapped clusters of high percent of migrants and limited medical care services. This is associated with the public service allocation rule in China, which stresses equality within urban areas and within rural areas but overlooks equality between urban areas and rural areas; and stresses local resident demands but overlooks migrant demands. To estimate the effects on medical care accessibility of neighborhood migrant proportion, spatial dependence models are applied due to spatial dependence of accessibility of medical care facilities. The regression results show that neighborhoods with high percent of migrants, even conditioning on neighborhood SES, are related to limited spatial accessibility of medical care services. Besides neighborhood characteristics, another important factor influencing spatial accessibility of medical care services is the process of spatial spillover effects. This indicates that the attenuate accessibility of medical care services for migrants is not only because of their own constraints but also because of their proximity to other disadvantaged neighborhoods. Therefore, it is urgently needed to increase the medical facilities in the suburban areas, to take into account migrants' demands and to reduce residential segregation between local residents and migrants for local governments to achieve the goal of equalization of medical care service.
基金supported by the National Natural Science Foundation of China,Grant Nos.42174011,41874001 and 41664001Innovation Found Designated for Graduate Students of ECUT,Grant No.DHYC-202020。
文摘The reasonable prior information between the parameters in the adjustment processing can significantly improve the precision of the parameter solution. Based on the principle of equality constraints, we establish the mixed additive and multiplicative random error model with equality constraints and derive the weighted least squares iterative solution of the model. In addition, aiming at the ill-posed problem of the coefficient matrix, we also propose the ridge estimation iterative solution of ill-posed mixed additive and multiplicative random error model with equality constraints based on the principle of ridge estimation method and derive the U-curve method to determine the ridge parameter. The experimental results show that the weighted least squares iterative solution can obtain more reasonable parameter estimation and precision information than existing solutions, verifying the feasibility of applying the equality constraints to the mixed additive and multiplicative random error model. Furthermore, the ridge estimation iterative solution can obtain more accurate parameter estimation and precision information than the weighted least squares iterative solution.
文摘A trust-region algorithm is presented for a nonlinear optimization problem of equality-constraints. The characterization of the algorithm is using inexact gradient information. Global convergence results are demonstrated where the gradient values are obeyed a simple relative error condition.
基金supported by National Natural Science Foundation of China(61503385)Fundamental Research Funds for the Central Universities of China(3122016L002)
文摘Let H;, H;, H;be real Hilbert spaces, let A : H;→ H;, B : H;→ H;be two bounded linear operators. The split equality common fixed point problem(SECFP) in the infinite-dimensional Hilbert spaces introduced by Moudafi(Alternating CQ-algorithm for convex feasibility and split fixed-point problems. Journal of Nonlinear and Convex Analysis)is to find x ∈ F(U), y ∈ F(T) such that Ax = By,(1)where U : H;→ H;and T : H;→ H;are two nonlinear operators with nonempty fixed point sets F(U) = {x ∈ H;: Ux = x} and F(T) = {x ∈ H;: Tx = x}. Note that,by taking B = I and H;= H;in(1), we recover the split fixed point problem originally introduced in Censor and Segal. Recently, Moudafi introduced alternating CQ-algorithms and simultaneous iterative algorithms with weak convergence for the SECFP(1) of firmly quasi-nonexpansive operators. In this paper, we introduce two viscosity iterative algorithms for the SECFP(1) governed by the general class of quasi-nonexpansive operators. We prove the strong convergence of algorithms. Our results improve and extend previously discussed related problems and algorithms.
基金supported by the Shanghai Leading Academic Discipline Project (Grant No.J50101)
文摘This paper proves that the weighting method via modified Gram-Schmidt(MGS) for solving the equality constrained least squares problem in the limit is equivalent to the direct elimination method via MGS(MGS-elimination method). By virtue of this equivalence, the backward and forward roundoff error analysis of the MGS-elimination method is proved. Numerical experiments are provided to verify the results.
基金supported by the National Natural Science Foundation of China(11361070)the Natural Science Foundation of China Medical University,Taiwan
文摘The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility prob- lems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.
文摘At the beginning of my speech, I would like to thank the Partners in Population and Development for offering us an ideal forum to share experience and discuss ways to move forward concepts prompted by ICPD Cairo conference.
文摘Coutsourides (1980) derives an ad hoc nuisance parameter removal test for testing the equality of two multiple correlation coefficients of two independent p variate normal populations, under the assumption that a sample of size n is available from each population. He also extends his ad hoc nuisance parameter removal test to the testing of the equality of two multiple correlation matrices. This paper presents likelihood ratio tests for testing the equality of k multiple correlation coefficients, and also k partial correlation coefficients.
基金We are grateful to the useful comments from Profs. C. Jarzynski, U. Seifert, M. Bier, and Dr. Gomez-Marin.
文摘The crucial condition in the derivation of the Jarzynski equality (JE) from the fluctuation theorem is that the time integral of the phase space contraction factor can be exactly expressed as the entropy production resulting from the heat absorbed by the system from the thermal bath. For the system violating this condition, a more general form of JE may exist. This existence is verified by three Gedanken experiments and numerical simulations, and may be confirmed by the real experiment in the nanoscale.