One of the classical approaches in the analysis of a variational inequality problem is to transform it into an equivalent optimization problem via the notion of gap function. The gap functions are useful tools in deri...One of the classical approaches in the analysis of a variational inequality problem is to transform it into an equivalent optimization problem via the notion of gap function. The gap functions are useful tools in deriving the error bounds which provide an estimated distance between a specific point and the exact solution of variational inequality problem. In this paper, we follow a similar approach for set-valued vector quasi variational inequality problems and define the gap functions based on scalarization scheme as well as the one with no scalar parameter. The error bounds results are obtained under fixed point symmetric and locally α-Holder assumptions on the set-valued map describing the domain of solution space of a set-valued vector quasi variational inequality problem.展开更多
The objective of this work is the study of social and economic inequality in the space of Central and Eastern Europe and its impact on economic growth. Our study includes a three-stage methodology:(1) application of a...The objective of this work is the study of social and economic inequality in the space of Central and Eastern Europe and its impact on economic growth. Our study includes a three-stage methodology:(1) application of a clustering method based on neural network (Self Organising Maps), to the series of panel data in order to divide countries into clusters, corresponding to the degree of economic and social inequality;(2) computing a composed index of economic and social inequality, using Principal Component Analysis and an extension of the method provided by OECD for computing composite indicators;(3) constructing an econometric model to establish the impact of social and economic inequality on economic growth and a VAR model to determine the causality between main determinants to growth and inequality as well as the response to shocks to the dynamics of the variables. The 24 Eastern and Central European countries have been grouped in five clusters, according to 11 attributes. In the results obtained, the third cluster comprises countries with the most equitable income distribution: Czech Republic, Croatia, Hungary, Slovak Republic, Slovenia. To the opposite side is the fifth cluster with the deepest inequality, including only one country, namely Georgia. The second and third steps of our methodology, were applied only for the extreme clusters namely, the clusters with the highest (C5) and lowest (C3) inequality respectively.展开更多
The economy is globalizing. But how are the different economic world regions performing regarding globalization of trade flows? Why are they performing differently? Globalization is not only the increase of internatio...The economy is globalizing. But how are the different economic world regions performing regarding globalization of trade flows? Why are they performing differently? Globalization is not only the increase of international trade between certain preferential geographic areas of economy, but also the resulting increase of interweavement of trade flows between different geographical areas, independent of the amount of trade. This paper is a revised and expanded version of the paper entitled “World Trade and Associated Systems Risk of Global Inequality: Empiric Study of Globalization Evolution between 2003-2011 and Regional Pattern Analysis” presented at International Conference on Applied Economics (ICOAE2013), Istanbul, 27-29 June, 2013. This paper analyzes the evolution of world trade flows between 2003-2012 and performs a cross-section analysis of the year 2012. The economic interweavement will be measured by an inequality risk metric applied to the supply-demand matrix. This risk indicator is based on the concept of statistical entropy resulting in an inequality risk measure, giving an indication for the degree of economic globalization and the evolution of globalization in different geographical regions. In addition, it analyses the governing rational of globalization evolution. The result of this research shows that economic trade flows are globalizing, but with clear different regional patterns, not only between globalizing and de-globalizing regions, but also within the globalizing and de-globalizing regions itself. The emerging economies such as China or the Middle East are globalizing whereas mature economies such as North America and Europe are de-globalizing, confirming for globalization of the inverse Kuznets evolution. The different patterns between the different economic world regions can be explained by using the Globalization Type’s Model as well as the Central Theorem of Globalization.展开更多
We set in this paper a coherent theory based on functional empirical processes that allows to consider both the poverty and the inequality indices in one Gaussian field in which the study of the influence of the one o...We set in this paper a coherent theory based on functional empirical processes that allows to consider both the poverty and the inequality indices in one Gaussian field in which the study of the influence of the one over the other is done. We use the General Poverty Index (GPI), that is a class of poverty indices gathering the most common ones and a functional class of inequality measures including the Entropy Measure, the Mean Logarithmic Deviation, the different inequality measures of Atkinson, Champernowne, Kolm and Theil called Theil-Like Inequality Measures (TLIM). Our results are given in a unified approach with respect to the two classes instead of their particular elements. We provide the asymptotic laws of the variations of each class over two given periods and the ratio of the variation and derive confidence intervals for them. Although the variances may seem somehow complicated, we provide R codes for their computations and apply the results for the pseudo-panel data for Senegalwith a simple analysis.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
Ambient fine particulate matter(PM_(2.5))pollution causes the largest environmental health risk globally,yet ex-posure levels and the resulting health risks vary across countries with different income levels.Global we...Ambient fine particulate matter(PM_(2.5))pollution causes the largest environmental health risk globally,yet ex-posure levels and the resulting health risks vary across countries with different income levels.Global wealth inequality has intensified in recent years,yet the relationship between wealth inequality and health risks related to PM_(2.5) pollution remains poorly understood.In this study,we evaluated the global mortality and health cost at-tributable to PM_(2.5) exposure from 2017 to 2021,and analyzed the relationship between wealth inequality,PM_(2.5) pollution,and the associated health risks across regions with varying economic levels.We found a consistent decline in mortalities and health costs attributable to PM_(2.5) exposure from 2017 to 2020,followed by a rebound after 2020,driven primarily by the resurgence of PM_(2.5) concentrations and a deceleration in the reduction of baseline mortality rates.We also found that the average PM_(2.5) concentration and associated risks decrease as domestic wealth inequality decreases and national income level increases.However,regions with extremely high levels of wealth inequality consistently show lower national average PM_(2.5) concentrations and health risks.These findings highlight the need to consider healthcare security during emergencies,as well as policy fairness across economic regions,in the formulation of global PM_(2.5) pollution control measures to promote sustainable,more equitable economic growth and coordinated air pollution management.展开更多
Economic inequality is a persistent global issue with profound implications for mental health,particularly among older adults.Previous studies have largely focused on objective economic well-being indicators such as i...Economic inequality is a persistent global issue with profound implications for mental health,particularly among older adults.Previous studies have largely focused on objective economic well-being indicators such as income,employment status,and poverty.While these factors are crucial,emerging evidence suggests that welfare benefits and subjective economic well-being components of what can be deemed augmented economic well-being,may play equally significant roles in shaping psychological health among aging populations.This research explores how disparities in these aspects contribute to psychological distress in older adults.We highlight the role of financial security,government assistance pro-grams,and personal economic satisfaction.We propose policy interventions to mitigate adverse effects and emphasize the need for a holistic approach to econo-mic well-being to improve mental health outcomes in older adults.This study reveals that subjective financial security and access to welfare benefits often surpass income as predictors of mental health.These insights underscore the importance of broadening economic frameworks in aging research and deve-loping integrated policies to enhance financial and psychological well-being.展开更多
The definition of momentum operator in quantum mechanics has some foundational problems and needs to be improved. For example, the results are different in general by using momentum operator and kinetic operator to ca...The definition of momentum operator in quantum mechanics has some foundational problems and needs to be improved. For example, the results are different in general by using momentum operator and kinetic operator to calculate microparticle’s kinetic energy. In the curved coordinate systems, momentum operators can not be defined properly. When momentum operator is acted on non-eigen wave functions in coordinate space, the resulting non-eigen values are complex numbers in general. In this case, momentum operator is not the Hermitian operator again. The average values of momentum operator are complex numbers unless they are zero. The same problems exist for angle momentum operator. Universal momentum operator is proposed in this paper. Based on it, all problems above can be solved well. The logical foundation of quantum mechanics becomes more complete and the EPY momentum paradox can be eliminated thoroughly. By considering the fact that there exist a difference between the theoretical value and the real value of momentum, the concepts of auxiliary momentum and auxiliary angle momentum are introduced. The relation between auxiliary angle momentum and spin is deduced and the essence of micro-particle’s spin is revealed. In this way, the fact that spin gyro-magnetic ratio is two times of orbit gyro-magnetic ratio, as well as why the electrons of ground state without obit angle momentum do not fall into atomic nuclear can be explained well. The real reason that the Bell inequality is not supported by experiments is revealed, which has nothing to do with whether or not hidden variables exist, as well as whether or not locality is violated in microcosmic processes.展开更多
In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschk...In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschke and Poincare in integral formula,we obtain a Bonnesen-style symmetric mixed isohomothetic inequality.The Bonnesen-style symmetric mixed isohomothetic inequality obtained is known as Bonnesen-style inequality if one of the domains is a disc.As a direct consequence,we attain an inequality which strengthen the result proved by Bonnesen,Blaschke and Flanders.Furthermore,by the containment measure and Blaschke’s rolling theorem,we obtain the reverse Bonnesen-style symmetric mixed isohomothetic inequalities.These inequalities are the analogues of the known Bottema’s result in 1933.展开更多
The aim of this paper, is to introduce and study a general iterative algorithm concerning the new mappings which the sequences generated by our proposed scheme converge strongly to a common element of the set of solut...The aim of this paper, is to introduce and study a general iterative algorithm concerning the new mappings which the sequences generated by our proposed scheme converge strongly to a common element of the set of solutions of a mixed equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of the variational inequality for a relaxed cocoercive mapping in a real Hilbert space. In addition, we obtain some applications by using this result. The results obtained in this paper generalize and refine some known results in the current literature.展开更多
This study examines the impact of artificial intelligence(AI)on carbon inequality(CI)in 67 countries from 1995 to 2019.The results suggest that(i)AI significantly amplifies CI both between and within countries due to ...This study examines the impact of artificial intelligence(AI)on carbon inequality(CI)in 67 countries from 1995 to 2019.The results suggest that(i)AI significantly amplifies CI both between and within countries due to its energy requirements and uneven deployment;(ii)trade openness and global value chain(GVC)positioning mitigate AI’s effect on inter-country CI,while robust governance—marked by larger government size and institutional transparency—curtails intra-country disparities;(iii)specific thresholds(trade openness>4.74,GVC position>−1.07,government size>2.90,transparency>−0.22)shift the impact of AI from exacerbating to reducing CI.The adverse effects of AI can be reversed through enhanced trade,GVC integration,and strong governance.Key policy implications:Policymakers must prioritize exceeding these thresholds to leverage AI for sustainable and equitable outcomes.This requires(a)promoting trade liberalization to spread the benefits of AI globally,reducing inter-country CI;(b)strengthening GVC participation to offset the carbon-intensive use of AI;(c)building government capacity and transparency to ensure fair adoption of AI domestically;and(d)embedding these strategies in climate policies to align AI with the long-term goals of environmental justice and the SDGs,particularly climate action(SDG 13)and reducing inequalities(SDG 10).展开更多
A team of researchers led by Dr.YAN Bin from the Institute of High Energy Physics(IHEP),Chinese Academy of Sciences(CAS)recently revealed quantum entanglement between light quarks in the lepton collider Belle,demonstr...A team of researchers led by Dr.YAN Bin from the Institute of High Energy Physics(IHEP),Chinese Academy of Sciences(CAS)recently revealed quantum entanglement between light quarks in the lepton collider Belle,demonstrating a violation of the Bell Inequality,and reported their discovery on July 2 in Physical the Review Letters(DOI:10.1103/gmqz-v4cl).展开更多
In this paper, an efficient weight initialization method is proposed using Cauchy’s inequality based on sensitivity analy- sis to improve the convergence speed in single hidden layer feedforward neural networks. The ...In this paper, an efficient weight initialization method is proposed using Cauchy’s inequality based on sensitivity analy- sis to improve the convergence speed in single hidden layer feedforward neural networks. The proposed method ensures that the outputs of hidden neurons are in the active region which increases the rate of convergence. Also the weights are learned by minimizing the sum of squared errors and obtained by solving linear system of equations. The proposed method is simulated on various problems. In all the problems the number of epochs and time required for the proposed method is found to be minimum compared with other weight initialization methods.展开更多
It briefly recalls the theory of Bell’s inequality and some experimental measures. Then measurements are processed on one hand according to a property of the wave function, on the other hand according to the sum defi...It briefly recalls the theory of Bell’s inequality and some experimental measures. Then measurements are processed on one hand according to a property of the wave function, on the other hand according to the sum definition. The results of such processed measures are apparently not the same, so Bell’s inequality would not be violated. It is a use of the wave function which implies the violation of the inequality, as it can be seen on the last flowcharts.展开更多
Energy poverty in developing countries is a critical issue characterized by the lack of access to modern energy services,such as electricity and clean cooking facilities,as marked in SDG 7.This study explores the corr...Energy poverty in developing countries is a critical issue characterized by the lack of access to modern energy services,such as electricity and clean cooking facilities,as marked in SDG 7.This study explores the correlations between energy poverty,energy intensity,resource abundance,and income inequality,as these factors have been theorized to play important roles in influencing energy poverty in developing countries.By observing that the dataset is heterogeneous across the countries and over the time frame,we use the Method of Moments Quantile Regression(MMQR)to analyze our developing countries’data from 2000 to 2019.Our findings indicate that energy intensity is a significant factor influencing energy poverty,suggesting that higher energy consumption relative to the sample countries can exacerbate this issue.Additionally,we observe that income inequality within the sample countries is a critical determinant of energy poverty levels,highlighting the dynamics between economic disparity and access to energy resources.Interestingly,our study reveals that resource abundance acts as a blessing rather than a curse in terms of energy poverty,implying that countries rich in natural resources may have better opportunities to combat energy deprivation.Finally,we emphasize the vital role of financial markets in addressing energy poverty on a global scale,suggesting that robust financial systems can facilitate investments and innovations aimed at improving energy access for vulnerable populations.The results from the robustness analysis support the empirical results obtained from the main estimation.The empirical findings of the present study advance important comprehensions for policymakers to adopt energy policies that address the complex challenges of energy poverty and promote inclusive energy access.展开更多
The best constant of discrete Sobolev inequality on the truncated tetrahedron with a weight which describes 2 kinds of spring constants or bond distances. Main results coincides with the ones of known results by Kamet...The best constant of discrete Sobolev inequality on the truncated tetrahedron with a weight which describes 2 kinds of spring constants or bond distances. Main results coincides with the ones of known results by Kametaka et al. under the assumption of uniformity of the spring constants. Since the buckyball fullerene C60 has 2 kinds of edges, destruction of uniformity makes us proceed the application to the chemistry of fullerenes.展开更多
Bell’s inequality itself is usually considered to belong to mathematics and not quantum mechanics. We think that this is making our understanding of Bell’ theory be confused. Thus in this paper, contrary to Bell’s ...Bell’s inequality itself is usually considered to belong to mathematics and not quantum mechanics. We think that this is making our understanding of Bell’ theory be confused. Thus in this paper, contrary to Bell’s spirit (which inherits Einstein’s spirit), we try to discuss Bell’s inequality in the framework of quantum theory with the linguistic Copenhagen interpretation. And we clarify that the violation of Bell’s inequality (i.e., whether or not Bell’s inequality holds) does not depend on whether classical systems or quantum systems, but depend on whether a combined measurement exists or not. And further we conclude that our argument (based on the linguistic Copenhagen interpretation) should be regarded as a scientific representation of Bell’s philosophical argument (based on Einstein’s spirit).展开更多
The (integer order) Halanay inequality with distributed delays is extended to the fractional order case. It is proved that solutions decay to zero as a Mittag-Leffler function as time goes to infinity provided that th...The (integer order) Halanay inequality with distributed delays is extended to the fractional order case. It is proved that solutions decay to zero as a Mittag-Leffler function as time goes to infinity provided that the delay feedback are bounded by similar functions.An application to a problem arising in neural network theory is provided showing that the equilibrium is Mittag-Leffler stable.展开更多
文摘One of the classical approaches in the analysis of a variational inequality problem is to transform it into an equivalent optimization problem via the notion of gap function. The gap functions are useful tools in deriving the error bounds which provide an estimated distance between a specific point and the exact solution of variational inequality problem. In this paper, we follow a similar approach for set-valued vector quasi variational inequality problems and define the gap functions based on scalarization scheme as well as the one with no scalar parameter. The error bounds results are obtained under fixed point symmetric and locally α-Holder assumptions on the set-valued map describing the domain of solution space of a set-valued vector quasi variational inequality problem.
文摘The objective of this work is the study of social and economic inequality in the space of Central and Eastern Europe and its impact on economic growth. Our study includes a three-stage methodology:(1) application of a clustering method based on neural network (Self Organising Maps), to the series of panel data in order to divide countries into clusters, corresponding to the degree of economic and social inequality;(2) computing a composed index of economic and social inequality, using Principal Component Analysis and an extension of the method provided by OECD for computing composite indicators;(3) constructing an econometric model to establish the impact of social and economic inequality on economic growth and a VAR model to determine the causality between main determinants to growth and inequality as well as the response to shocks to the dynamics of the variables. The 24 Eastern and Central European countries have been grouped in five clusters, according to 11 attributes. In the results obtained, the third cluster comprises countries with the most equitable income distribution: Czech Republic, Croatia, Hungary, Slovak Republic, Slovenia. To the opposite side is the fifth cluster with the deepest inequality, including only one country, namely Georgia. The second and third steps of our methodology, were applied only for the extreme clusters namely, the clusters with the highest (C5) and lowest (C3) inequality respectively.
文摘The economy is globalizing. But how are the different economic world regions performing regarding globalization of trade flows? Why are they performing differently? Globalization is not only the increase of international trade between certain preferential geographic areas of economy, but also the resulting increase of interweavement of trade flows between different geographical areas, independent of the amount of trade. This paper is a revised and expanded version of the paper entitled “World Trade and Associated Systems Risk of Global Inequality: Empiric Study of Globalization Evolution between 2003-2011 and Regional Pattern Analysis” presented at International Conference on Applied Economics (ICOAE2013), Istanbul, 27-29 June, 2013. This paper analyzes the evolution of world trade flows between 2003-2012 and performs a cross-section analysis of the year 2012. The economic interweavement will be measured by an inequality risk metric applied to the supply-demand matrix. This risk indicator is based on the concept of statistical entropy resulting in an inequality risk measure, giving an indication for the degree of economic globalization and the evolution of globalization in different geographical regions. In addition, it analyses the governing rational of globalization evolution. The result of this research shows that economic trade flows are globalizing, but with clear different regional patterns, not only between globalizing and de-globalizing regions, but also within the globalizing and de-globalizing regions itself. The emerging economies such as China or the Middle East are globalizing whereas mature economies such as North America and Europe are de-globalizing, confirming for globalization of the inverse Kuznets evolution. The different patterns between the different economic world regions can be explained by using the Globalization Type’s Model as well as the Central Theorem of Globalization.
文摘We set in this paper a coherent theory based on functional empirical processes that allows to consider both the poverty and the inequality indices in one Gaussian field in which the study of the influence of the one over the other is done. We use the General Poverty Index (GPI), that is a class of poverty indices gathering the most common ones and a functional class of inequality measures including the Entropy Measure, the Mean Logarithmic Deviation, the different inequality measures of Atkinson, Champernowne, Kolm and Theil called Theil-Like Inequality Measures (TLIM). Our results are given in a unified approach with respect to the two classes instead of their particular elements. We provide the asymptotic laws of the variations of each class over two given periods and the ratio of the variation and derive confidence intervals for them. Although the variances may seem somehow complicated, we provide R codes for their computations and apply the results for the pseudo-panel data for Senegalwith a simple analysis.
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.
基金supported by the National Natural Science Foundation of China(Nos.42305089 and 42175106)the Self-supporting Program of Guangzhou Laboratory(No.SRPG22-007)+1 种基金the Youth Science and Technology Fund Project of Gansu(No.22JR5RA512)the Fundamental Research Funds for the Central Universities(No.lzujbky-2022-pd05).
文摘Ambient fine particulate matter(PM_(2.5))pollution causes the largest environmental health risk globally,yet ex-posure levels and the resulting health risks vary across countries with different income levels.Global wealth inequality has intensified in recent years,yet the relationship between wealth inequality and health risks related to PM_(2.5) pollution remains poorly understood.In this study,we evaluated the global mortality and health cost at-tributable to PM_(2.5) exposure from 2017 to 2021,and analyzed the relationship between wealth inequality,PM_(2.5) pollution,and the associated health risks across regions with varying economic levels.We found a consistent decline in mortalities and health costs attributable to PM_(2.5) exposure from 2017 to 2020,followed by a rebound after 2020,driven primarily by the resurgence of PM_(2.5) concentrations and a deceleration in the reduction of baseline mortality rates.We also found that the average PM_(2.5) concentration and associated risks decrease as domestic wealth inequality decreases and national income level increases.However,regions with extremely high levels of wealth inequality consistently show lower national average PM_(2.5) concentrations and health risks.These findings highlight the need to consider healthcare security during emergencies,as well as policy fairness across economic regions,in the formulation of global PM_(2.5) pollution control measures to promote sustainable,more equitable economic growth and coordinated air pollution management.
文摘We exploit the theory of reproducing kernels to deduce a matrix inequality for the inverse of the restriction of a positive definite Hermitian matrix.
文摘Economic inequality is a persistent global issue with profound implications for mental health,particularly among older adults.Previous studies have largely focused on objective economic well-being indicators such as income,employment status,and poverty.While these factors are crucial,emerging evidence suggests that welfare benefits and subjective economic well-being components of what can be deemed augmented economic well-being,may play equally significant roles in shaping psychological health among aging populations.This research explores how disparities in these aspects contribute to psychological distress in older adults.We highlight the role of financial security,government assistance pro-grams,and personal economic satisfaction.We propose policy interventions to mitigate adverse effects and emphasize the need for a holistic approach to econo-mic well-being to improve mental health outcomes in older adults.This study reveals that subjective financial security and access to welfare benefits often surpass income as predictors of mental health.These insights underscore the importance of broadening economic frameworks in aging research and deve-loping integrated policies to enhance financial and psychological well-being.
文摘The definition of momentum operator in quantum mechanics has some foundational problems and needs to be improved. For example, the results are different in general by using momentum operator and kinetic operator to calculate microparticle’s kinetic energy. In the curved coordinate systems, momentum operators can not be defined properly. When momentum operator is acted on non-eigen wave functions in coordinate space, the resulting non-eigen values are complex numbers in general. In this case, momentum operator is not the Hermitian operator again. The average values of momentum operator are complex numbers unless they are zero. The same problems exist for angle momentum operator. Universal momentum operator is proposed in this paper. Based on it, all problems above can be solved well. The logical foundation of quantum mechanics becomes more complete and the EPY momentum paradox can be eliminated thoroughly. By considering the fact that there exist a difference between the theoretical value and the real value of momentum, the concepts of auxiliary momentum and auxiliary angle momentum are introduced. The relation between auxiliary angle momentum and spin is deduced and the essence of micro-particle’s spin is revealed. In this way, the fact that spin gyro-magnetic ratio is two times of orbit gyro-magnetic ratio, as well as why the electrons of ground state without obit angle momentum do not fall into atomic nuclear can be explained well. The real reason that the Bell inequality is not supported by experiments is revealed, which has nothing to do with whether or not hidden variables exist, as well as whether or not locality is violated in microcosmic processes.
基金supported in part by the National Natural Science Foundation of China(11801048)the Natural Science Foundation Project of CSTC(cstc2017jcyjAX0022)Innovation Support Program for Chongqing overseas Returnees(cx2018034)
文摘In this paper,we investigate the translative containment measure for a convex domain K_i to contain,or to be contained in the homothetic copy of another convex domain tK_j(t≥0).Via the formulas of translative Blaschke and Poincare in integral formula,we obtain a Bonnesen-style symmetric mixed isohomothetic inequality.The Bonnesen-style symmetric mixed isohomothetic inequality obtained is known as Bonnesen-style inequality if one of the domains is a disc.As a direct consequence,we attain an inequality which strengthen the result proved by Bonnesen,Blaschke and Flanders.Furthermore,by the containment measure and Blaschke’s rolling theorem,we obtain the reverse Bonnesen-style symmetric mixed isohomothetic inequalities.These inequalities are the analogues of the known Bottema’s result in 1933.
文摘The aim of this paper, is to introduce and study a general iterative algorithm concerning the new mappings which the sequences generated by our proposed scheme converge strongly to a common element of the set of solutions of a mixed equilibrium problem, the set of common fixed points of a finite family of nonexpansive mappings and the set of solutions of the variational inequality for a relaxed cocoercive mapping in a real Hilbert space. In addition, we obtain some applications by using this result. The results obtained in this paper generalize and refine some known results in the current literature.
基金supported by National Natural Science Foundation of China(Grant No.72104246).
文摘This study examines the impact of artificial intelligence(AI)on carbon inequality(CI)in 67 countries from 1995 to 2019.The results suggest that(i)AI significantly amplifies CI both between and within countries due to its energy requirements and uneven deployment;(ii)trade openness and global value chain(GVC)positioning mitigate AI’s effect on inter-country CI,while robust governance—marked by larger government size and institutional transparency—curtails intra-country disparities;(iii)specific thresholds(trade openness>4.74,GVC position>−1.07,government size>2.90,transparency>−0.22)shift the impact of AI from exacerbating to reducing CI.The adverse effects of AI can be reversed through enhanced trade,GVC integration,and strong governance.Key policy implications:Policymakers must prioritize exceeding these thresholds to leverage AI for sustainable and equitable outcomes.This requires(a)promoting trade liberalization to spread the benefits of AI globally,reducing inter-country CI;(b)strengthening GVC participation to offset the carbon-intensive use of AI;(c)building government capacity and transparency to ensure fair adoption of AI domestically;and(d)embedding these strategies in climate policies to align AI with the long-term goals of environmental justice and the SDGs,particularly climate action(SDG 13)and reducing inequalities(SDG 10).
文摘A team of researchers led by Dr.YAN Bin from the Institute of High Energy Physics(IHEP),Chinese Academy of Sciences(CAS)recently revealed quantum entanglement between light quarks in the lepton collider Belle,demonstrating a violation of the Bell Inequality,and reported their discovery on July 2 in Physical the Review Letters(DOI:10.1103/gmqz-v4cl).
文摘In this paper, an efficient weight initialization method is proposed using Cauchy’s inequality based on sensitivity analy- sis to improve the convergence speed in single hidden layer feedforward neural networks. The proposed method ensures that the outputs of hidden neurons are in the active region which increases the rate of convergence. Also the weights are learned by minimizing the sum of squared errors and obtained by solving linear system of equations. The proposed method is simulated on various problems. In all the problems the number of epochs and time required for the proposed method is found to be minimum compared with other weight initialization methods.
文摘It briefly recalls the theory of Bell’s inequality and some experimental measures. Then measurements are processed on one hand according to a property of the wave function, on the other hand according to the sum definition. The results of such processed measures are apparently not the same, so Bell’s inequality would not be violated. It is a use of the wave function which implies the violation of the inequality, as it can be seen on the last flowcharts.
文摘Energy poverty in developing countries is a critical issue characterized by the lack of access to modern energy services,such as electricity and clean cooking facilities,as marked in SDG 7.This study explores the correlations between energy poverty,energy intensity,resource abundance,and income inequality,as these factors have been theorized to play important roles in influencing energy poverty in developing countries.By observing that the dataset is heterogeneous across the countries and over the time frame,we use the Method of Moments Quantile Regression(MMQR)to analyze our developing countries’data from 2000 to 2019.Our findings indicate that energy intensity is a significant factor influencing energy poverty,suggesting that higher energy consumption relative to the sample countries can exacerbate this issue.Additionally,we observe that income inequality within the sample countries is a critical determinant of energy poverty levels,highlighting the dynamics between economic disparity and access to energy resources.Interestingly,our study reveals that resource abundance acts as a blessing rather than a curse in terms of energy poverty,implying that countries rich in natural resources may have better opportunities to combat energy deprivation.Finally,we emphasize the vital role of financial markets in addressing energy poverty on a global scale,suggesting that robust financial systems can facilitate investments and innovations aimed at improving energy access for vulnerable populations.The results from the robustness analysis support the empirical results obtained from the main estimation.The empirical findings of the present study advance important comprehensions for policymakers to adopt energy policies that address the complex challenges of energy poverty and promote inclusive energy access.
文摘The best constant of discrete Sobolev inequality on the truncated tetrahedron with a weight which describes 2 kinds of spring constants or bond distances. Main results coincides with the ones of known results by Kametaka et al. under the assumption of uniformity of the spring constants. Since the buckyball fullerene C60 has 2 kinds of edges, destruction of uniformity makes us proceed the application to the chemistry of fullerenes.
文摘Bell’s inequality itself is usually considered to belong to mathematics and not quantum mechanics. We think that this is making our understanding of Bell’ theory be confused. Thus in this paper, contrary to Bell’s spirit (which inherits Einstein’s spirit), we try to discuss Bell’s inequality in the framework of quantum theory with the linguistic Copenhagen interpretation. And we clarify that the violation of Bell’s inequality (i.e., whether or not Bell’s inequality holds) does not depend on whether classical systems or quantum systems, but depend on whether a combined measurement exists or not. And further we conclude that our argument (based on the linguistic Copenhagen interpretation) should be regarded as a scientific representation of Bell’s philosophical argument (based on Einstein’s spirit).
基金Supported by King Abdulaziz City of King Abdulaziz City of Science and Technology (KACST) under the National Science,Technology and Innovation Plan(NSTIP),Project No.15-OIL4884-0124
文摘The (integer order) Halanay inequality with distributed delays is extended to the fractional order case. It is proved that solutions decay to zero as a Mittag-Leffler function as time goes to infinity provided that the delay feedback are bounded by similar functions.An application to a problem arising in neural network theory is provided showing that the equilibrium is Mittag-Leffler stable.
