The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowsk...The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowski space time is based upon the point set with σ-length on light cone.展开更多
Based on the kinematic viewpoint, the concept of proportional movement is abstracted to explain the strange behaviors of fractal snowflakes. A transformation group for proportional movement is defined. Under the propo...Based on the kinematic viewpoint, the concept of proportional movement is abstracted to explain the strange behaviors of fractal snowflakes. A transformation group for proportional movement is defined. Under the proportional movement transformation groups, necessary and sufficient conditions for self-similarity of multilevel structures are presented. The characteristic topology of snowflake-like fractal patterns, identical to the topology of ternary-segment fractal line, is proved. Moreover, the topological evolution of N-segment line is explored. The concepts of limit growth and infinite growth are clarified,and the corresponding growth conditions are derived. The topological invariant properties of N-segment line are exposed. In addition, the proposition that the topological evolution of the N-segment line is mainly controlled by the topological invariant N is verified.展开更多
The concept of relative N-compactness is defined and characterized in terms ofnets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy setsand the relative N-compactness is L-good extens...The concept of relative N-compactness is defined and characterized in terms ofnets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy setsand the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It is also proved that inducedrelative N-compact spaces are productive, and the product of finite relative compact sets isrelative compact.展开更多
城市电网涵盖多个电压等级,调度操作复杂,为降低城市电网N-1后的运行风险,同时解决N-1-1发生时导致大面积停电的问题,提出一种转供区域识别方法,并结合研究场景对其进行分区处理,在保证求解准确度的前提下提高问题求解效率。提出降低城...城市电网涵盖多个电压等级,调度操作复杂,为降低城市电网N-1后的运行风险,同时解决N-1-1发生时导致大面积停电的问题,提出一种转供区域识别方法,并结合研究场景对其进行分区处理,在保证求解准确度的前提下提高问题求解效率。提出降低城市电网N-1-1运行风险拓扑重构双层优化模型,综合考虑了N-1-1时的负荷损失量和N-1后节点电压偏移量与设备负载率均衡度,使用二进制蝙蝠算法(Binary Bat Algorithm,BBA)对模型进行求解。最后通过某地区实际城市电网算例分析,验证了所提模型的有效性。展开更多
文摘The anomalous dimensions of the quantum fields are the Hausdorff dimensiongrad. The present candidate of the renormalization constant is the generalized Cantor discontinuum. The Hausdorff dimensiongrad of the Minkowski space time is based upon the point set with σ-length on light cone.
基金Project supported by the National Natural Science Foundation of China(Nos.10872114,11072125,and 11272175)the National Natural Science Foundation of Jiangsu Province(No.SBK201140044)the Fundation of Tutor for Doctor Degree of Higher Education of China(No.20130002110044)
文摘Based on the kinematic viewpoint, the concept of proportional movement is abstracted to explain the strange behaviors of fractal snowflakes. A transformation group for proportional movement is defined. Under the proportional movement transformation groups, necessary and sufficient conditions for self-similarity of multilevel structures are presented. The characteristic topology of snowflake-like fractal patterns, identical to the topology of ternary-segment fractal line, is proved. Moreover, the topological evolution of N-segment line is explored. The concepts of limit growth and infinite growth are clarified,and the corresponding growth conditions are derived. The topological invariant properties of N-segment line are exposed. In addition, the proposition that the topological evolution of the N-segment line is mainly controlled by the topological invariant N is verified.
基金Supported by the National Natural Science Foundation of China(10271069)Supported by the Science Foundation of Weinan Teacher's College(03YKS002)
文摘The concept of relative N-compactness is defined and characterized in terms ofnets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy setsand the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It is also proved that inducedrelative N-compact spaces are productive, and the product of finite relative compact sets isrelative compact.
文摘城市电网涵盖多个电压等级,调度操作复杂,为降低城市电网N-1后的运行风险,同时解决N-1-1发生时导致大面积停电的问题,提出一种转供区域识别方法,并结合研究场景对其进行分区处理,在保证求解准确度的前提下提高问题求解效率。提出降低城市电网N-1-1运行风险拓扑重构双层优化模型,综合考虑了N-1-1时的负荷损失量和N-1后节点电压偏移量与设备负载率均衡度,使用二进制蝙蝠算法(Binary Bat Algorithm,BBA)对模型进行求解。最后通过某地区实际城市电网算例分析,验证了所提模型的有效性。
