In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided...In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided they are locally univalent and sense-preserving. Furthermore, we extend this analysis to a more general case by setting specific conditions. Additionally, we take some common parameters such as as the dilatation of these harmonic mappings, and prove the sufficient conditions that their combinations are locally univalent and convex in the vertical direction. Several examples are constructed by the Mathematica software to demonstrate our main results.展开更多
Aiming at the invalidation of DS theory dealing with the evidence in a high conflict and reducing confidence level of DSm theory processing a low conflict,this paper proposes an interactive-adaptive combination rule. ...Aiming at the invalidation of DS theory dealing with the evidence in a high conflict and reducing confidence level of DSm theory processing a low conflict,this paper proposes an interactive-adaptive combination rule. Adopting the angle similarity based on hyper-power set as the weight of generalized Dempster rule and PCR rule,the new rule adaptively processes various evidence combination issues. In this way,the rule can obtain not only the better fusion of decision making effect in a low conflict,but also the solution to the synthesis in a high conflict. Simulation analysis demonstrates the validity and applicability from this rule of combination.展开更多
Key points:Throughout the ages,rule of law has been an indispensable means of governing a state.However,as General Secretary Xi Jinping has pointed out,it is not enough to govern a state by the rule of law
The women’s councils are an innovation advocated by the All-China women’s federation for women’s participation in social management and grassroots democracy.They are a beneficial exploration for women to participat...The women’s councils are an innovation advocated by the All-China women’s federation for women’s participation in social management and grassroots democracy.They are a beneficial exploration for women to participate in public affairs according to the law in accordance with Article 2 of the Constitution of the People’s Republic of China,and are a model of"the combination of autonomy,rule of law and rule of virtue."The women’s councils have aroused the enthusiasm of women to participate in public affairs,stimulated their autonomous vitality and creativity,and helped to solve the problems of women’s lack of representation and voice in decision-making.The process of deliberation is also the process of developing the awareness of rights,rules,consultation ability,the concept of the rule of law and even thinking about the rule of law.The women’s councils not only help to protect the rights and interests of women and children and promote women’s development,but also has unique value in enriching grassroots consultative democracy,developing grassroots mass autonomy,building a society ruled by law and promoting the implementation of the Constitution.we should therefore fully affirm,support and perfect the women’s councils so as to make it long-term,standardized and institutionalized.展开更多
文摘In this paper, we explore the linear combinations of right half-plane mappings and vertical strip mappings. We demonstrate that the combinations of these harmonic mappings are convex in the vertical direction provided they are locally univalent and sense-preserving. Furthermore, we extend this analysis to a more general case by setting specific conditions. Additionally, we take some common parameters such as as the dilatation of these harmonic mappings, and prove the sufficient conditions that their combinations are locally univalent and convex in the vertical direction. Several examples are constructed by the Mathematica software to demonstrate our main results.
基金supported by Pre-Research Foundation of PLA(LY200838014)supported by the PLA Research Program of Science and Technology (KJ08062)
文摘Aiming at the invalidation of DS theory dealing with the evidence in a high conflict and reducing confidence level of DSm theory processing a low conflict,this paper proposes an interactive-adaptive combination rule. Adopting the angle similarity based on hyper-power set as the weight of generalized Dempster rule and PCR rule,the new rule adaptively processes various evidence combination issues. In this way,the rule can obtain not only the better fusion of decision making effect in a low conflict,but also the solution to the synthesis in a high conflict. Simulation analysis demonstrates the validity and applicability from this rule of combination.
文摘Key points:Throughout the ages,rule of law has been an indispensable means of governing a state.However,as General Secretary Xi Jinping has pointed out,it is not enough to govern a state by the rule of law
文摘The women’s councils are an innovation advocated by the All-China women’s federation for women’s participation in social management and grassroots democracy.They are a beneficial exploration for women to participate in public affairs according to the law in accordance with Article 2 of the Constitution of the People’s Republic of China,and are a model of"the combination of autonomy,rule of law and rule of virtue."The women’s councils have aroused the enthusiasm of women to participate in public affairs,stimulated their autonomous vitality and creativity,and helped to solve the problems of women’s lack of representation and voice in decision-making.The process of deliberation is also the process of developing the awareness of rights,rules,consultation ability,the concept of the rule of law and even thinking about the rule of law.The women’s councils not only help to protect the rights and interests of women and children and promote women’s development,but also has unique value in enriching grassroots consultative democracy,developing grassroots mass autonomy,building a society ruled by law and promoting the implementation of the Constitution.we should therefore fully affirm,support and perfect the women’s councils so as to make it long-term,standardized and institutionalized.
