This study comprehensively reviews the literature to deeply explore the role of computer science and internet technologies in addressing educational inequality and socio-psychological issues,with a particular focus on...This study comprehensively reviews the literature to deeply explore the role of computer science and internet technologies in addressing educational inequality and socio-psychological issues,with a particular focus on applications of 5G,artificial intelligence(AI),and augmented/virtual reality(AR/VR).By analyzing how these technologies are reshaping learning and their potential to ameliorate educational disparities,the study reveals challenges present in ensuring educational equity.The research methodology includes exhaustive reviews of applications of AI and machine learning,the Internet of Things and wearable technologies integration,big data analytics and data mining,and the effects of online platforms and social media on socio-psychological issues.Besides,the study discusses applications of these technologies in educational inequality and socio-psychological problem-solving through the lens of 5G,AI,and AR/VR,while also delineating challenges faced by these emerging technologies and future outlooks.The study finds that while computer science and internet technologies hold promise to bridge academic divides and address socio-psychological problems,the complexity of technology access and infrastructure,lack of digital literacy and skills,and critical ethical and privacy issues can impact widespread adoption and efficacy.Overall,the study provides a novel perspective to understand the potential of computer science and internet technologies in ameliorating educational inequality and socio-psychological issues,while pointing to new directions for future research.It also emphasizes the importance of cooperation among educational institutions,technology vendors,policymakers and researchers,and establishing comprehensive ethical guidelines and regulations to ensure the responsible use of these technologies.展开更多
Background: Socioeconomic factors influence health outcomes and the distribution of health resources within and between countries globally. In Nigeria, there are various socio-economic factors that have been reported ...Background: Socioeconomic factors influence health outcomes and the distribution of health resources within and between countries globally. In Nigeria, there are various socio-economic factors that have been reported to be responsible for health inequities across the different geopolitical zones. Objective: To assess health inequities in relation to socio-economic factors that affect access to essential health care services in Nigeria, using family planning, maternal care, and childcare as indicators. Method: The study involved a cross-sectional secondary analysis of data from the 2018 Nigeria Demographic and Health Survey (NDHS) and a literature review of transdisciplinary approaches to addressing health inequities. Result: The overall result from the findings suggests a strong influence of geographical and socioeconomic factors in the distribution of healthcare services. Specifically, family planning services were more readily available and accessible in the Southern zones of Nigeria than in the Northern zone of Nigeria, which could be attributed to socio-cultural, religious, and access-related barriers. Results also showed that access to most maternal and child health care services was often skewed towards the southern zones, which could be due to the presence of more healthcare workers who provide these services coupled with higher access to maternal care, hence a higher uptake and utilization of maternal care services. Also, children in the northern zones had lesser odds of receiving basic and age-appropriate vaccination than those in other regions, which could be attributed to the supply-side disparities that exist between the northern and southern regions. Conclusion: This study concludes that level of educational attainment, wealth quintiles, as well as financial barriers, are the major socio-economic factors that influence access to maternal and childcare services.展开更多
Dear Editor,This letter deals with the synchronization in drive-response networks with discrete and distributed delays on time scales.Based on the theory of calculus on time scales,Lyapunov functional method and inequ...Dear Editor,This letter deals with the synchronization in drive-response networks with discrete and distributed delays on time scales.Based on the theory of calculus on time scales,Lyapunov functional method and inequality technique,we obtain new sufficient conditions to ensure synchronization criteria which are dependent on boundedness of grainness but independent of the types of delays.Numerical simulations are given to illustrate the effectiveness of our new results.展开更多
This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inerti...This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality problem.Consequently,our proof arguments are different from what is obtainable in the relevant literature.Finally,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature.展开更多
Background Educational inequalities in suicide have become increasingly prominent over the past decade.Elucidating modifiable risk factors that serve as intermediaries in the impact of low educational attainment on su...Background Educational inequalities in suicide have become increasingly prominent over the past decade.Elucidating modifiable risk factors that serve as intermediaries in the impact of low educational attainment on suicide has the potential to reduce health disparities.Aims To examine the risk factors that mediate the relationship between educational attainment and suicide attempts and quantify their contributions to the mediation effect.Methods We conducted a two-sample Mendelian randomisation(MR)analysis to estimate the causal effect of educational attainment on suicide attempts,utilising genome-wide association study summary statistics from the Integrative Psychiatric Research(iPSYCH;6024 cases and 44240 controls)and FinnGen(8978 cases and 368299 controls).We systematically evaluated 42 putative mediators within the causal pathway connecting reduced educational attainment to suicide attempts and employed two-step and multivariable MR to quantify the proportion of the mediated effect.Results In the combined analysis of iPSYCH and FinnGen,each standard deviation(SD)decrease in genetically predicted educational attainment(equating to 3.4 years of education)was associated with a 105%higher risk of suicide attempts(odds ratio(OR):2.05;95%confidence interval(Cl):1.81 to 2.31).0f the 42 risk factors analysed,the two-step MR identified five factors that mediated the association between educational attainment and suicide attempts.The respective proportions of mediation were 47%(95%Cl:29%to 66%)for smoking behaviour,36%(95%Cl:0%to 84%)for chronic pain,49%(95%Cl:36%to 61%)for depression,35%(95%Cl:12%to 59%)for anxiety and 26%(95%Cl:18%to 34%)for insomnia.Multivariable MR implicated these five mediators collectively,accounting for 68%(95%Cl:40%to 96%)of the total effect.Conclusions This study identified smoking,chronic pain and mental disorders as primary intervention targets for attenuating suicide risk attributable to lower educational levels in the European population.展开更多
Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted...Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted Kato square root problem for L.More precisely,we prove that the square root L^(1/2)satisfies the weighted L^(p)estimates||L^(1/2)(f)||L_(ω)^p(R^(n))≤C||■f||L_(ω)^p(R^(n);R^(n))for any p∈(1,∞)andω∈Ap(ℝ^(n))(the class of Muckenhoupt weights),and that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,2+ε)andω∈Ap(ℝ^(n))∩RH_(2+ε/p),(R^(n))(the class of reverse Hölder weights),whereε∈(0,∞)is a constant depending only on n and the operator L,and where(2+ε/p)'denotes the Hölder conjugate exponent of 2+ε/p.Moreover,for any given q∈(2,∞),we give a sufficient condition to obtain that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,q)andω∈A_(p)(R^(n))∩pRH_(q/p),(R^(n)).As an application,we prove that when the coefficient matrix A that appears in L satisfies the small BMO condition,the Riesz transform∇L^(−1/2)is bounded on L_(ω)^(p)(ℝ^(n))for any given p∈(1,∞)andω∈Ap(ℝ^(n)).Furthermore,applications to the weighted L^(2)-regularity problem with the Dirichlet or the Neumann boundary condition are also given.展开更多
In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coul...In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coulomb’s law of dry friction in which the coefficient of friction depends on the slip.In addition,the effects of the electrical conductivity of the foundation are taken into account.This model leads to a coupled system of the quasi-variational inequality of the elliptic type for the displacement and the nonlinear variational equation for the electric potential.The existence of a weak solution is proved by using an abstract result for elliptic variational inequalities and a fixed point argument.Then,a finite element approximation of the problem is presented.Under some regularity conditions,an optimal order error estimate of the approximate solution is derived.Finally,a successive iteration technique is used to solve the problem numerically and a convergence result is established.展开更多
In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality...In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality,this inequality contains a term involving the mean curvature.展开更多
In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better...In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.展开更多
Many solutions of variational inequalities have been proposed,among which the subgradient extragradient method has obvious advantages.Two different algorithms are given for solving variational inequality problem in th...Many solutions of variational inequalities have been proposed,among which the subgradient extragradient method has obvious advantages.Two different algorithms are given for solving variational inequality problem in this paper.The problem we study is defined in a real Hilbert space and has L-Lipschitz and pseudomonotone condition.Two new algorithms adopt inertial technology and non-monotonic step size rule,and their convergence can still be proved when the value of L is not given in advance.Finally,some numerical results are designed to demonstrate the computational efficiency of our two new algorithms.展开更多
Using the weight coefficient method, we first discuss semi-discrete Hilbert-type inequalities, and then discuss boundedness of integral and discrete operators and operator norm estimates based on Hilbert-type inequali...Using the weight coefficient method, we first discuss semi-discrete Hilbert-type inequalities, and then discuss boundedness of integral and discrete operators and operator norm estimates based on Hilbert-type inequalities in weighted Lebesgue space and weighted normed sequence space.展开更多
This paper seeks to highlight the macroeconomic asymmetries and social impacts among eurozone countries which occurred during the time of the financial crisis,emphasising the urgent need to revise the framework of eco...This paper seeks to highlight the macroeconomic asymmetries and social impacts among eurozone countries which occurred during the time of the financial crisis,emphasising the urgent need to revise the framework of economic governance.The analysis focuses on the growing macroeconomic and social imbalances on a representative sample of selected eurozone member-states(Euro(€)North and Euro(€)South)which had posed a threat to economic sustainability and social coherence.展开更多
The literature on international students’ experiences frequently depicts them within a ‘deficient’ framework, highlighting their perceived lack of essential skills for managing their studies. Moreover, internationa...The literature on international students’ experiences frequently depicts them within a ‘deficient’ framework, highlighting their perceived lack of essential skills for managing their studies. Moreover, international students’ emotional experiences are often construed as personal and psychological attributes, with their emotions viewed as transient and pathological phases that they will eventually overcome to assimilate into the local context. However, there exists a dearth of literature investigating international students’ experiences from a sociological perspective, particularly concerning their emotional experiences within the broader social and political milieu. Utilizing a longitudinal research design to monitor 25 Chinese international postgraduates from multiple universities in London and Glasgow over the course of one year, this study illuminates the racialised, classed, and gendered dimensions of international students’ experiences in UK higher education through an exploration of their feelings of shame. Drawing on the research findings, it is evident that power relations operate insidiously and covertly to systematically frame international students’ experiences as personal or cultural ‘deficiency’. This process represents a form of misrecognition, which manifests in racialised, gendered, and classed feelings of shame, experienced at the personal level as insecurity, ‘stupidity’, exclusion, and self-doubt. Consequently, social and cultural inequalities within higher education are often situated at the individual level.展开更多
The phenomenon of marital dissolution in later life,also referred to as“gray divorce”,is described on the rise in contemporary Western societies.This article contributes to the study of marriage breakdown in older a...The phenomenon of marital dissolution in later life,also referred to as“gray divorce”,is described on the rise in contemporary Western societies.This article contributes to the study of marriage breakdown in older age,with a specific focus on Italian society.First,the temporal trends of this phenomenon are reconstructed using official statistics.The data reveal that,although still relatively rare,the dissolution of marriage in later life is expanding in Italy.The analysis of the period from 1974 to 2015 indicates a rise in the average age at separation,a higher percentage of spouses over 50 years on the total number of couples obtaining legal separation,and an increase in the proportion of Italian spouses separating after many years of marriage.Furthermore,data from the national survey“Family and Social Subjects”,conducted in 2016 by the Italian National Institute of Statistics,are utilized to explore the relationship between specific traits of those who separated and their tendency to dissolve marriages before or after the age of 50.The data suggest that individuals with characteristics such as lower educational attainment,residence in the South and Islands,and adherence to more traditional family models are more likely to experience separation in later life.展开更多
Clustering a social network is a process of grouping social actors into clusters where intra-cluster similarities among actors are higher than inter-cluster similarities. Clustering approaches, i.e. , k-medoids or hie...Clustering a social network is a process of grouping social actors into clusters where intra-cluster similarities among actors are higher than inter-cluster similarities. Clustering approaches, i.e. , k-medoids or hierarchical, use the distance function to measure the dissimilarities among actors. These distance functions need to fulfill various properties, including the triangle inequality (TI). However, in some cases, the triangle inequality might be violated, impacting the quality of the resulting clusters. With experiments, this paper explains how TI violates while performing traditional clustering techniques: k-medoids, hierarchical, DENGRAPH, and spectral clustering on social networks and how the violation of TI affects the quality of the resulting clusters.展开更多
This paper presents the results of a research project on the intercultural climate in schools and the academic success of immigrant students in Quebec.The intercultural climate in eight secondary public schools is doc...This paper presents the results of a research project on the intercultural climate in schools and the academic success of immigrant students in Quebec.The intercultural climate in eight secondary public schools is documented from the standpoint of various school and community stakeholders,students,and parents.More specifically,the paper focuses on the commitment to promoting cultural equity,which is identified through interviews with the targeted stakeholders on exclusionary practices and processes and the practices implemented to counter them.The results identify five areas of vulnerability among certain minoritized groups of students:the transition from welcoming to regular classes for those students learning French,evaluation and support for those experiencing learning or behavioral difficulties,the referral of these students to adult education programs or work-oriented training programs,their participation in extracurricular activities,and their access to special school projects.Nonetheless,some schools do report the introduction of many equity practices in response to the exclusionary ones.However,these initiatives are mostly occasional and voluntary and pertain to interactions between individuals.These findings call for a discussion on the importance of systemic and concerted initiatives towards achieving equity.展开更多
In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the glob...In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the global existence of the solution to this system without any small condition on the initial data.展开更多
In this paper, our focus lies on addressing a two-block linearly constrained nonseparable nonconvex optimization problem with coupling terms. The most classical algorithm, the alternating direction method of multiplie...In this paper, our focus lies on addressing a two-block linearly constrained nonseparable nonconvex optimization problem with coupling terms. The most classical algorithm, the alternating direction method of multipliers (ADMM), is employed to solve such problems typically, which still requires the assumption of the gradient Lipschitz continuity condition on the objective function to ensure overall convergence from the current knowledge. However, many practical applications do not adhere to the conditions of smoothness. In this study, we justify the convergence of variant Bregman ADMM for the problem with coupling terms to circumvent the issue of the global Lipschitz continuity of the gradient. We demonstrate that the iterative sequence generated by our approach converges to a critical point of the issue when the corresponding function fulfills the Kurdyka-Lojasiewicz inequality and certain assumptions apply. In addition, we illustrate the convergence rate of the algorithm.展开更多
In connection with the historical context of social segregation and the assimilative aim of formal education imposed on them,the Indigenous Peoples of Québec have long been excluded from higher education.Today,ev...In connection with the historical context of social segregation and the assimilative aim of formal education imposed on them,the Indigenous Peoples of Québec have long been excluded from higher education.Today,even if their graduation rates are increasing,a persistent gap with the non-Indigenous population is maintained.The data in this article are drawn from 23 interviews with students and university graduates of the First Nations of Québec,as part of a thesis in educational sciences.Our paper analyzes how these students manage to combine the contributions of Indigenous education with those of Western education by developing paths that are part of the decolonization movement of education.Their relationship to Indigenous identity and cultures clearly influences their educational background and is analyzed taking into account power relations with the dominant culture.Our paper emphasizes more particularly the relationship to studies,the adaptation to the student profession,and the balance between studies,work,and family among Indigenous students,in a context of transition from university to multiversity which contributed to the increase of Indigenous university attendance.展开更多
We find some upper bounds for the product of the SDD and ISDD indices, and discuss the graphs were the equalities are attained. Our bounds allow us to find new upper bounds for the ISDD index, using previously known l...We find some upper bounds for the product of the SDD and ISDD indices, and discuss the graphs were the equalities are attained. Our bounds allow us to find new upper bounds for the ISDD index, using previously known lower bounds for the SDD index.展开更多
文摘This study comprehensively reviews the literature to deeply explore the role of computer science and internet technologies in addressing educational inequality and socio-psychological issues,with a particular focus on applications of 5G,artificial intelligence(AI),and augmented/virtual reality(AR/VR).By analyzing how these technologies are reshaping learning and their potential to ameliorate educational disparities,the study reveals challenges present in ensuring educational equity.The research methodology includes exhaustive reviews of applications of AI and machine learning,the Internet of Things and wearable technologies integration,big data analytics and data mining,and the effects of online platforms and social media on socio-psychological issues.Besides,the study discusses applications of these technologies in educational inequality and socio-psychological problem-solving through the lens of 5G,AI,and AR/VR,while also delineating challenges faced by these emerging technologies and future outlooks.The study finds that while computer science and internet technologies hold promise to bridge academic divides and address socio-psychological problems,the complexity of technology access and infrastructure,lack of digital literacy and skills,and critical ethical and privacy issues can impact widespread adoption and efficacy.Overall,the study provides a novel perspective to understand the potential of computer science and internet technologies in ameliorating educational inequality and socio-psychological issues,while pointing to new directions for future research.It also emphasizes the importance of cooperation among educational institutions,technology vendors,policymakers and researchers,and establishing comprehensive ethical guidelines and regulations to ensure the responsible use of these technologies.
文摘Background: Socioeconomic factors influence health outcomes and the distribution of health resources within and between countries globally. In Nigeria, there are various socio-economic factors that have been reported to be responsible for health inequities across the different geopolitical zones. Objective: To assess health inequities in relation to socio-economic factors that affect access to essential health care services in Nigeria, using family planning, maternal care, and childcare as indicators. Method: The study involved a cross-sectional secondary analysis of data from the 2018 Nigeria Demographic and Health Survey (NDHS) and a literature review of transdisciplinary approaches to addressing health inequities. Result: The overall result from the findings suggests a strong influence of geographical and socioeconomic factors in the distribution of healthcare services. Specifically, family planning services were more readily available and accessible in the Southern zones of Nigeria than in the Northern zone of Nigeria, which could be attributed to socio-cultural, religious, and access-related barriers. Results also showed that access to most maternal and child health care services was often skewed towards the southern zones, which could be due to the presence of more healthcare workers who provide these services coupled with higher access to maternal care, hence a higher uptake and utilization of maternal care services. Also, children in the northern zones had lesser odds of receiving basic and age-appropriate vaccination than those in other regions, which could be attributed to the supply-side disparities that exist between the northern and southern regions. Conclusion: This study concludes that level of educational attainment, wealth quintiles, as well as financial barriers, are the major socio-economic factors that influence access to maternal and childcare services.
基金the National Natural Science Foundation of China(61573005)。
文摘Dear Editor,This letter deals with the synchronization in drive-response networks with discrete and distributed delays on time scales.Based on the theory of calculus on time scales,Lyapunov functional method and inequality technique,we obtain new sufficient conditions to ensure synchronization criteria which are dependent on boundedness of grainness but independent of the types of delays.Numerical simulations are given to illustrate the effectiveness of our new results.
文摘This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality problem.Consequently,our proof arguments are different from what is obtainable in the relevant literature.Finally,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature.
基金the Key Discipline of Zhejang Province in Public Health and Preventative Medicine(First Class,Category A)at the Hangzhou Medical College,China.
文摘Background Educational inequalities in suicide have become increasingly prominent over the past decade.Elucidating modifiable risk factors that serve as intermediaries in the impact of low educational attainment on suicide has the potential to reduce health disparities.Aims To examine the risk factors that mediate the relationship between educational attainment and suicide attempts and quantify their contributions to the mediation effect.Methods We conducted a two-sample Mendelian randomisation(MR)analysis to estimate the causal effect of educational attainment on suicide attempts,utilising genome-wide association study summary statistics from the Integrative Psychiatric Research(iPSYCH;6024 cases and 44240 controls)and FinnGen(8978 cases and 368299 controls).We systematically evaluated 42 putative mediators within the causal pathway connecting reduced educational attainment to suicide attempts and employed two-step and multivariable MR to quantify the proportion of the mediated effect.Results In the combined analysis of iPSYCH and FinnGen,each standard deviation(SD)decrease in genetically predicted educational attainment(equating to 3.4 years of education)was associated with a 105%higher risk of suicide attempts(odds ratio(OR):2.05;95%confidence interval(Cl):1.81 to 2.31).0f the 42 risk factors analysed,the two-step MR identified five factors that mediated the association between educational attainment and suicide attempts.The respective proportions of mediation were 47%(95%Cl:29%to 66%)for smoking behaviour,36%(95%Cl:0%to 84%)for chronic pain,49%(95%Cl:36%to 61%)for depression,35%(95%Cl:12%to 59%)for anxiety and 26%(95%Cl:18%to 34%)for insomnia.Multivariable MR implicated these five mediators collectively,accounting for 68%(95%Cl:40%to 96%)of the total effect.Conclusions This study identified smoking,chronic pain and mental disorders as primary intervention targets for attenuating suicide risk attributable to lower educational levels in the European population.
基金supported by the Key Project of Gansu Provincial National Science Foundation(23JRRA1022)the National Natural Science Foundation of China(12071431)+1 种基金the Fundamental Research Funds for the Central Universities(lzujbky-2021-ey18)the Innovative Groups of Basic Research in Gansu Province(22JR5RA391).
文摘Let n≥2 and let L be a second-order elliptic operator of divergence form with coefficients consisting of both an elliptic symmetric part and a BMO anti-symmetric part in ℝ^(n).In this article,we consider the weighted Kato square root problem for L.More precisely,we prove that the square root L^(1/2)satisfies the weighted L^(p)estimates||L^(1/2)(f)||L_(ω)^p(R^(n))≤C||■f||L_(ω)^p(R^(n);R^(n))for any p∈(1,∞)andω∈Ap(ℝ^(n))(the class of Muckenhoupt weights),and that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,2+ε)andω∈Ap(ℝ^(n))∩RH_(2+ε/p),(R^(n))(the class of reverse Hölder weights),whereε∈(0,∞)is a constant depending only on n and the operator L,and where(2+ε/p)'denotes the Hölder conjugate exponent of 2+ε/p.Moreover,for any given q∈(2,∞),we give a sufficient condition to obtain that||■f||L_(ω)^p(R^(n);R^(n))≤C||L^(1/2)(f)||L_(ω)^p(R^(n))for any p∈(1,q)andω∈A_(p)(R^(n))∩pRH_(q/p),(R^(n)).As an application,we prove that when the coefficient matrix A that appears in L satisfies the small BMO condition,the Riesz transform∇L^(−1/2)is bounded on L_(ω)^(p)(ℝ^(n))for any given p∈(1,∞)andω∈Ap(ℝ^(n)).Furthermore,applications to the weighted L^(2)-regularity problem with the Dirichlet or the Neumann boundary condition are also given.
文摘In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coulomb’s law of dry friction in which the coefficient of friction depends on the slip.In addition,the effects of the electrical conductivity of the foundation are taken into account.This model leads to a coupled system of the quasi-variational inequality of the elliptic type for the displacement and the nonlinear variational equation for the electric potential.The existence of a weak solution is proved by using an abstract result for elliptic variational inequalities and a fixed point argument.Then,a finite element approximation of the problem is presented.Under some regularity conditions,an optimal order error estimate of the approximate solution is derived.Finally,a successive iteration technique is used to solve the problem numerically and a convergence result is established.
基金Supported by the NSFC(11771087,12171091 and 11831005)。
文摘In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality,this inequality contains a term involving the mean curvature.
基金partially supported by the Natural Sciences and Engineering Research Council of Canada(2019-03907)。
文摘In this paper,we define a new class of control functions through aggregate special functions.These class of control functions help us to stabilize and approximate a tri-additiveψ-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital C*-algebras and Banach algebras by the vector-valued alternative fixed point theorem.
文摘Many solutions of variational inequalities have been proposed,among which the subgradient extragradient method has obvious advantages.Two different algorithms are given for solving variational inequality problem in this paper.The problem we study is defined in a real Hilbert space and has L-Lipschitz and pseudomonotone condition.Two new algorithms adopt inertial technology and non-monotonic step size rule,and their convergence can still be proved when the value of L is not given in advance.Finally,some numerical results are designed to demonstrate the computational efficiency of our two new algorithms.
基金Supported by Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515012429)Guangzhou Huashang College Research Team Project(Grant No.2021HSKT03)。
文摘Using the weight coefficient method, we first discuss semi-discrete Hilbert-type inequalities, and then discuss boundedness of integral and discrete operators and operator norm estimates based on Hilbert-type inequalities in weighted Lebesgue space and weighted normed sequence space.
文摘This paper seeks to highlight the macroeconomic asymmetries and social impacts among eurozone countries which occurred during the time of the financial crisis,emphasising the urgent need to revise the framework of economic governance.The analysis focuses on the growing macroeconomic and social imbalances on a representative sample of selected eurozone member-states(Euro(€)North and Euro(€)South)which had posed a threat to economic sustainability and social coherence.
文摘The literature on international students’ experiences frequently depicts them within a ‘deficient’ framework, highlighting their perceived lack of essential skills for managing their studies. Moreover, international students’ emotional experiences are often construed as personal and psychological attributes, with their emotions viewed as transient and pathological phases that they will eventually overcome to assimilate into the local context. However, there exists a dearth of literature investigating international students’ experiences from a sociological perspective, particularly concerning their emotional experiences within the broader social and political milieu. Utilizing a longitudinal research design to monitor 25 Chinese international postgraduates from multiple universities in London and Glasgow over the course of one year, this study illuminates the racialised, classed, and gendered dimensions of international students’ experiences in UK higher education through an exploration of their feelings of shame. Drawing on the research findings, it is evident that power relations operate insidiously and covertly to systematically frame international students’ experiences as personal or cultural ‘deficiency’. This process represents a form of misrecognition, which manifests in racialised, gendered, and classed feelings of shame, experienced at the personal level as insecurity, ‘stupidity’, exclusion, and self-doubt. Consequently, social and cultural inequalities within higher education are often situated at the individual level.
文摘The phenomenon of marital dissolution in later life,also referred to as“gray divorce”,is described on the rise in contemporary Western societies.This article contributes to the study of marriage breakdown in older age,with a specific focus on Italian society.First,the temporal trends of this phenomenon are reconstructed using official statistics.The data reveal that,although still relatively rare,the dissolution of marriage in later life is expanding in Italy.The analysis of the period from 1974 to 2015 indicates a rise in the average age at separation,a higher percentage of spouses over 50 years on the total number of couples obtaining legal separation,and an increase in the proportion of Italian spouses separating after many years of marriage.Furthermore,data from the national survey“Family and Social Subjects”,conducted in 2016 by the Italian National Institute of Statistics,are utilized to explore the relationship between specific traits of those who separated and their tendency to dissolve marriages before or after the age of 50.The data suggest that individuals with characteristics such as lower educational attainment,residence in the South and Islands,and adherence to more traditional family models are more likely to experience separation in later life.
文摘Clustering a social network is a process of grouping social actors into clusters where intra-cluster similarities among actors are higher than inter-cluster similarities. Clustering approaches, i.e. , k-medoids or hierarchical, use the distance function to measure the dissimilarities among actors. These distance functions need to fulfill various properties, including the triangle inequality (TI). However, in some cases, the triangle inequality might be violated, impacting the quality of the resulting clusters. With experiments, this paper explains how TI violates while performing traditional clustering techniques: k-medoids, hierarchical, DENGRAPH, and spectral clustering on social networks and how the violation of TI affects the quality of the resulting clusters.
文摘This paper presents the results of a research project on the intercultural climate in schools and the academic success of immigrant students in Quebec.The intercultural climate in eight secondary public schools is documented from the standpoint of various school and community stakeholders,students,and parents.More specifically,the paper focuses on the commitment to promoting cultural equity,which is identified through interviews with the targeted stakeholders on exclusionary practices and processes and the practices implemented to counter them.The results identify five areas of vulnerability among certain minoritized groups of students:the transition from welcoming to regular classes for those students learning French,evaluation and support for those experiencing learning or behavioral difficulties,the referral of these students to adult education programs or work-oriented training programs,their participation in extracurricular activities,and their access to special school projects.Nonetheless,some schools do report the introduction of many equity practices in response to the exclusionary ones.However,these initiatives are mostly occasional and voluntary and pertain to interactions between individuals.These findings call for a discussion on the importance of systemic and concerted initiatives towards achieving equity.
文摘In this paper, we study the global existence of the smooth solution for a reduced quantum Zakharov system in two spatial dimensions. Using energy estimates and the logarithmic type Sobolev inequality, we show the global existence of the solution to this system without any small condition on the initial data.
文摘In this paper, our focus lies on addressing a two-block linearly constrained nonseparable nonconvex optimization problem with coupling terms. The most classical algorithm, the alternating direction method of multipliers (ADMM), is employed to solve such problems typically, which still requires the assumption of the gradient Lipschitz continuity condition on the objective function to ensure overall convergence from the current knowledge. However, many practical applications do not adhere to the conditions of smoothness. In this study, we justify the convergence of variant Bregman ADMM for the problem with coupling terms to circumvent the issue of the global Lipschitz continuity of the gradient. We demonstrate that the iterative sequence generated by our approach converges to a critical point of the issue when the corresponding function fulfills the Kurdyka-Lojasiewicz inequality and certain assumptions apply. In addition, we illustrate the convergence rate of the algorithm.
文摘In connection with the historical context of social segregation and the assimilative aim of formal education imposed on them,the Indigenous Peoples of Québec have long been excluded from higher education.Today,even if their graduation rates are increasing,a persistent gap with the non-Indigenous population is maintained.The data in this article are drawn from 23 interviews with students and university graduates of the First Nations of Québec,as part of a thesis in educational sciences.Our paper analyzes how these students manage to combine the contributions of Indigenous education with those of Western education by developing paths that are part of the decolonization movement of education.Their relationship to Indigenous identity and cultures clearly influences their educational background and is analyzed taking into account power relations with the dominant culture.Our paper emphasizes more particularly the relationship to studies,the adaptation to the student profession,and the balance between studies,work,and family among Indigenous students,in a context of transition from university to multiversity which contributed to the increase of Indigenous university attendance.
文摘We find some upper bounds for the product of the SDD and ISDD indices, and discuss the graphs were the equalities are attained. Our bounds allow us to find new upper bounds for the ISDD index, using previously known lower bounds for the SDD index.