Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of t...Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of the Blaschke-Santal5 inequality for convex bodies are given by the Petty projection inequality and above two reverses. Further, using above methods, we also obtain two analogues of the Petty＇s conjecture for projection bodies, respectively.展开更多
Lutwak, Yang and Zhang established the Lp-petty projection inequality. In this paper, the several reverses of the Lp-petty projection inequality are shown.
In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of...In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.展开更多
It is proved that if K is an origin-symmetric convex body in R^2 and Π^*K is the polar projection body of K,then the volumes of K and Π^*K satisfy the inequality V(K)V(Π^*K)≥2 with equality if K is a parallelogram.
提出一族基于反向耦合电感的非隔离双向直流变换器(bi-directional DC converter,BDC),通过引入反向耦合电感,利用电感感应电势阻断不工作MOSFET的体二极管,消除了传统双向变换器中开关管寄生体二极管的反向恢复问题;通过反向耦合电感...提出一族基于反向耦合电感的非隔离双向直流变换器(bi-directional DC converter,BDC),通过引入反向耦合电感,利用电感感应电势阻断不工作MOSFET的体二极管,消除了传统双向变换器中开关管寄生体二极管的反向恢复问题;通过反向耦合电感与滤波电感等效电路的分析,将反向耦合电感与滤波电感用一个同向耦合电感代替,提出一族基于PCI的非隔离双向直流变换器。所提出的变换器控制与传统单向变换器相同,不需要专门的软启动电路,兼顾了较高变换效率、控制简单和高可靠性。给出拓扑推演过程,详细分析拓扑工作原理,并通过实验验证理论分析的正确性。展开更多
基金Foundation item： Supported by the National Natural Science Foundation of China（10671117） Supported by the Innovation Foundation of Graduate Student of China Three Gorges University（2012CX077）
文摘Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of the Blaschke-Santal5 inequality for convex bodies are given by the Petty projection inequality and above two reverses. Further, using above methods, we also obtain two analogues of the Petty＇s conjecture for projection bodies, respectively.
基金Foundation item： Supported by the Natural Science Foundation of China（10671117） Supported by Academic Mainstay Foundation of Hubei Province of China（D200729002） Supported by Science Foundation of China Three Gorges University
文摘Lutwak, Yang and Zhang established the Lp-petty projection inequality. In this paper, the several reverses of the Lp-petty projection inequality are shown.
基金Supported by the National Natural Science Foundation of China (10671117)Academic Mainstay Foundation of Hubei Provincial De-partment of Education (D200729002)Science Foundation of China Three Gorges University
文摘In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.
基金Supported by the Funds of the Basic and Advanced Research Project of CQCSTC(cstc2015jcyjA00009)Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJ1500628)
文摘It is proved that if K is an origin-symmetric convex body in R^2 and Π^*K is the polar projection body of K,then the volumes of K and Π^*K satisfy the inequality V(K)V(Π^*K)≥2 with equality if K is a parallelogram.
文摘提出一族基于反向耦合电感的非隔离双向直流变换器(bi-directional DC converter,BDC),通过引入反向耦合电感,利用电感感应电势阻断不工作MOSFET的体二极管,消除了传统双向变换器中开关管寄生体二极管的反向恢复问题;通过反向耦合电感与滤波电感等效电路的分析,将反向耦合电感与滤波电感用一个同向耦合电感代替,提出一族基于PCI的非隔离双向直流变换器。所提出的变换器控制与传统单向变换器相同,不需要专门的软启动电路,兼顾了较高变换效率、控制简单和高可靠性。给出拓扑推演过程,详细分析拓扑工作原理,并通过实验验证理论分析的正确性。
