O rlicz-Bochner空间的各种凸性不仅具有重要的理论研究价值,而且可以解决某些优化问题、积分方程和偏微分方程求解问题以及控制论中的线性问题和非线性问题.给出了O rlicz-Bochner空间中的点为强端点的充分性条件和空间具有中点局部一...O rlicz-Bochner空间的各种凸性不仅具有重要的理论研究价值,而且可以解决某些优化问题、积分方程和偏微分方程求解问题以及控制论中的线性问题和非线性问题.给出了O rlicz-Bochner空间中的点为强端点的充分性条件和空间具有中点局部一致凸性质的充要条件.展开更多
Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is ...Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is proved.展开更多
In this paper we prove three equivalent conditions of bounded closed convexset K in Banach space to have the drop and weak drop properties. We also give fourequivalent conditions of Banach space and its dual space to ...In this paper we prove three equivalent conditions of bounded closed convexset K in Banach space to have the drop and weak drop properties. We also give fourequivalent conditions of Banach space and its dual space to have the drop and weak dropproperties.展开更多
In this paper,we obtain that eachg-convex function is continuous and convex,and we also extend Jia and Peng’s result on the characterization of g-convex function without the bounded assumption of the value of g at th...In this paper,we obtain that eachg-convex function is continuous and convex,and we also extend Jia and Peng’s result on the characterization of g-convex function without the bounded assumption of the value of g at the origin.展开更多
This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, co...This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, cone-convexity and cone-quasiconvexity.展开更多
The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps ...The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps into convex balls.展开更多
This paper presents a geometric characterization of convex sets in locally convex spaces onwhich a strong optimization theorem of the Stegall-type holds, and gives Collier's theorem ofw* Asplund spaces a localized...This paper presents a geometric characterization of convex sets in locally convex spaces onwhich a strong optimization theorem of the Stegall-type holds, and gives Collier's theorem ofw* Asplund spaces a localized setting.展开更多
Objective:To explore the efficacy and mechanism of warm needling moxibustion plus percutaneous kyphoplasty(PKP)for osteoporotic vertebral compression fracture(OVCF)due to kidney deficiency and blood stasis.Methods:A t...Objective:To explore the efficacy and mechanism of warm needling moxibustion plus percutaneous kyphoplasty(PKP)for osteoporotic vertebral compression fracture(OVCF)due to kidney deficiency and blood stasis.Methods:A total of 70 OVCF patients were randomized into a control group and an observation group,with 35 cases in each group.The control group was given PKP treatment,and the observation group was treated with warm needling moxibustion on the basis of the treatment in the control group.The visual analog scale(VAS)and Oswestry disability index(ODI)were scored and the Cobb angle of fractured vertebrae was measured before and after treatment.The re-fracture rate of the adjacent vertebrae was recorded at 1-year follow-up.The serum levels of transforming growth factor(TGF)-β1 and omentin-1 were measured before and after treatment.Results:After treatment,the VAS and ODI scores in both groups decreased(all P<0.05),and all the scores in the observation group were lower than those in the control group(both P<0.05).After treatment,the Cobb angle of fractured vertebrae in both groups decreased(both P<0.05),and the Cobb angle in the observation group was smaller than that in the control group(P<0.05).At 1-year follow-up,the re-fracture rate of the adjacent vertebrae in the observation group was lower than that in the control group(P<0.05).After treatment,the serum levels of TGF-β1 and omentin-1 in both groups increased significantly(all P<0.05),and the serum levels of TGF-β1 and omentin-1 in the observation group were higher than those in the control group(both P<0.05).Conclusion:The treatment of warm needling moxibustion plus PKP can relieve pain,improve dysfunction,promote healing of the injured vertebrae,and reduce the re-fracture rate of the adjacent vertebrae in patients with OVCF due to kidney deficiency and blood stasis,which may be related to the increase of serum TGF-β1 and omentin-1 levels.展开更多
The multi-source and single-sink(MSSS) topology in wireless sensor networks(WSNs) is defined as a network topology,where all of nodes can gather,receive and transmit data to the sink.In energy-constrained WSNs with su...The multi-source and single-sink(MSSS) topology in wireless sensor networks(WSNs) is defined as a network topology,where all of nodes can gather,receive and transmit data to the sink.In energy-constrained WSNs with such a topology,the joint optimal design in the physical,medium access control(MAC) and network layers is considered for network lifetime maximization(NLM).The problem of integrating multi-layer information to compute NLM,which involves routing flow,link schedule and transmission power,is formulated as a nonlinear optimization problem.Specially under time division multiple access(TDMA) scheme,this problem can be transformed into a convex optimization problem.To solve it analytically we make use of the property that local optimization is global optimization in convex problem.This allows us to exploit the Karush-Kuhn-Tucker (KKT) optimality conditions to solve it and obtain analytical solution expression,i.e.,the globally optimal network lifetime(NL).NL is derived as a function of number of nodes,their initial energy and data rate arrived at them. Based on the analysis of analytical approach,it takes the influence of data rates,link access and routing method over NLM into account.Moreover,the globally optimal transmission schemes are achieved by solution set during analytical approach and applied to algorithms in TDMA-based WSNs aiming at NLM on OMNeT++ to compare with other suboptimal schemes.展开更多
基金National Natural Science Foundations of China(No.10901033,No.10971023)Shanghai Pujiang Project,China(No.08PJ1400600)+1 种基金Shanghai Shuguang Project,China(No.07SG38)the Fundamental Research Funds for the Central Universities of China
文摘Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is proved.
文摘In this paper we prove three equivalent conditions of bounded closed convexset K in Banach space to have the drop and weak drop properties. We also give fourequivalent conditions of Banach space and its dual space to have the drop and weak dropproperties.
文摘In this paper,we obtain that eachg-convex function is continuous and convex,and we also extend Jia and Peng’s result on the characterization of g-convex function without the bounded assumption of the value of g at the origin.
文摘This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, cone-convexity and cone-quasiconvexity.
文摘The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps into convex balls.
基金Project supported by the National Natural Science Foundation of China(No.10071063)
文摘This paper presents a geometric characterization of convex sets in locally convex spaces onwhich a strong optimization theorem of the Stegall-type holds, and gives Collier's theorem ofw* Asplund spaces a localized setting.
文摘Objective:To explore the efficacy and mechanism of warm needling moxibustion plus percutaneous kyphoplasty(PKP)for osteoporotic vertebral compression fracture(OVCF)due to kidney deficiency and blood stasis.Methods:A total of 70 OVCF patients were randomized into a control group and an observation group,with 35 cases in each group.The control group was given PKP treatment,and the observation group was treated with warm needling moxibustion on the basis of the treatment in the control group.The visual analog scale(VAS)and Oswestry disability index(ODI)were scored and the Cobb angle of fractured vertebrae was measured before and after treatment.The re-fracture rate of the adjacent vertebrae was recorded at 1-year follow-up.The serum levels of transforming growth factor(TGF)-β1 and omentin-1 were measured before and after treatment.Results:After treatment,the VAS and ODI scores in both groups decreased(all P<0.05),and all the scores in the observation group were lower than those in the control group(both P<0.05).After treatment,the Cobb angle of fractured vertebrae in both groups decreased(both P<0.05),and the Cobb angle in the observation group was smaller than that in the control group(P<0.05).At 1-year follow-up,the re-fracture rate of the adjacent vertebrae in the observation group was lower than that in the control group(P<0.05).After treatment,the serum levels of TGF-β1 and omentin-1 in both groups increased significantly(all P<0.05),and the serum levels of TGF-β1 and omentin-1 in the observation group were higher than those in the control group(both P<0.05).Conclusion:The treatment of warm needling moxibustion plus PKP can relieve pain,improve dysfunction,promote healing of the injured vertebrae,and reduce the re-fracture rate of the adjacent vertebrae in patients with OVCF due to kidney deficiency and blood stasis,which may be related to the increase of serum TGF-β1 and omentin-1 levels.
文摘The multi-source and single-sink(MSSS) topology in wireless sensor networks(WSNs) is defined as a network topology,where all of nodes can gather,receive and transmit data to the sink.In energy-constrained WSNs with such a topology,the joint optimal design in the physical,medium access control(MAC) and network layers is considered for network lifetime maximization(NLM).The problem of integrating multi-layer information to compute NLM,which involves routing flow,link schedule and transmission power,is formulated as a nonlinear optimization problem.Specially under time division multiple access(TDMA) scheme,this problem can be transformed into a convex optimization problem.To solve it analytically we make use of the property that local optimization is global optimization in convex problem.This allows us to exploit the Karush-Kuhn-Tucker (KKT) optimality conditions to solve it and obtain analytical solution expression,i.e.,the globally optimal network lifetime(NL).NL is derived as a function of number of nodes,their initial energy and data rate arrived at them. Based on the analysis of analytical approach,it takes the influence of data rates,link access and routing method over NLM into account.Moreover,the globally optimal transmission schemes are achieved by solution set during analytical approach and applied to algorithms in TDMA-based WSNs aiming at NLM on OMNeT++ to compare with other suboptimal schemes.
