Automorphisms of Maps with a Given Underlying Graph and Their Application to Enumeration Lin Fan MAO Yan Pei 1IU Feng TIAN A graph is called a semi-regular graph if its automorphism group action on its ordered pair of...Automorphisms of Maps with a Given Underlying Graph and Their Application to Enumeration Lin Fan MAO Yan Pei 1IU Feng TIAN A graph is called a semi-regular graph if its automorphism group action on its ordered pair of adjacent vertices is semi-regular. In this paper, a necessary and sufficient condition for an automorphism of the graph T to be an automorphism of a map with the underlying graph Γis obtained. Using this result, all orientation-preserving automorphisms of maps on展开更多
An Equivariant Version of the K-energy Gang TIAN Abstract In this note, we present a connection between equivariant Bott-Chern classes and Kahler-Ricci solitons. We also propose a generalized version the of the K-ener...An Equivariant Version of the K-energy Gang TIAN Abstract In this note, we present a connection between equivariant Bott-Chern classes and Kahler-Ricci solitons. We also propose a generalized version the of the K-energy. A Class Of Counterexamples Concerning an Open Problem Pei Xin CHEN Shi Jie LU Abstract Kenneth R. Davidson raised ten open problems in the book Nest Algebras. One of these open problems is Problem 7 If K, (∩) Alg(?) is weak dense in Alg(?), where k is the set of all compact展开更多
On the Quaternion Ball and the Quaternion Projective Space Qi Keng LU Abstract A Since the quaternion ball was used to study the AdS/CFT problems for spinor fields, it is worthwhile to study further the geometry (in s...On the Quaternion Ball and the Quaternion Projective Space Qi Keng LU Abstract A Since the quaternion ball was used to study the AdS/CFT problems for spinor fields, it is worthwhile to study further the geometry (in sense of Klein) and analysis on it and on its extended space (in the sense of Behnke-Thullen), the quaternion projective space.展开更多
Cooperative Reconfiguration for a Reconfigurable Mobile Robot LIU Tonglin, WU Chengdong, LI Bin, LIU Jinguo （1. State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, She...Cooperative Reconfiguration for a Reconfigurable Mobile Robot LIU Tonglin, WU Chengdong, LI Bin, LIU Jinguo （1. State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China; 2. Graduate School, Chinese Academy of Sciences, Beijing 100049, China; 3. School of Information Science ＆ Engineering, Northeast University, Shenyang 110004, China）Abstract： A main characteristic of the reconfigurable mobile robot AMOEBA-1 is that it has diverse configurations, but some reconfigurations are difficult to realize under the influence of ground conditions. A cooperative reconfiguration method is proposed to reduce reconfiguration resistance and enhance the adaptability of the robot to the environment. The mathematical model is established correspondingly. The kinematics and mechanical properties of each section of the robot are analyzed. A part of resistance is transformed into active force of reconfiguration, and transforms are actualized among five specific configurations. Further, the linearization of model based on a perturbation analysis method is used to reduce the computational complexity. Finally, an evaluation criterion is proposed for AMOEBA-I＇s cooperative reconfiguration performance. The validity of the cooperative reconfiguration method is proved by simulations and experiments.展开更多
文摘Automorphisms of Maps with a Given Underlying Graph and Their Application to Enumeration Lin Fan MAO Yan Pei 1IU Feng TIAN A graph is called a semi-regular graph if its automorphism group action on its ordered pair of adjacent vertices is semi-regular. In this paper, a necessary and sufficient condition for an automorphism of the graph T to be an automorphism of a map with the underlying graph Γis obtained. Using this result, all orientation-preserving automorphisms of maps on
文摘An Equivariant Version of the K-energy Gang TIAN Abstract In this note, we present a connection between equivariant Bott-Chern classes and Kahler-Ricci solitons. We also propose a generalized version the of the K-energy. A Class Of Counterexamples Concerning an Open Problem Pei Xin CHEN Shi Jie LU Abstract Kenneth R. Davidson raised ten open problems in the book Nest Algebras. One of these open problems is Problem 7 If K, (∩) Alg(?) is weak dense in Alg(?), where k is the set of all compact
文摘On the Quaternion Ball and the Quaternion Projective Space Qi Keng LU Abstract A Since the quaternion ball was used to study the AdS/CFT problems for spinor fields, it is worthwhile to study further the geometry (in sense of Klein) and analysis on it and on its extended space (in the sense of Behnke-Thullen), the quaternion projective space.
文摘Cooperative Reconfiguration for a Reconfigurable Mobile Robot LIU Tonglin, WU Chengdong, LI Bin, LIU Jinguo （1. State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China; 2. Graduate School, Chinese Academy of Sciences, Beijing 100049, China; 3. School of Information Science ＆ Engineering, Northeast University, Shenyang 110004, China）Abstract： A main characteristic of the reconfigurable mobile robot AMOEBA-1 is that it has diverse configurations, but some reconfigurations are difficult to realize under the influence of ground conditions. A cooperative reconfiguration method is proposed to reduce reconfiguration resistance and enhance the adaptability of the robot to the environment. The mathematical model is established correspondingly. The kinematics and mechanical properties of each section of the robot are analyzed. A part of resistance is transformed into active force of reconfiguration, and transforms are actualized among five specific configurations. Further, the linearization of model based on a perturbation analysis method is used to reduce the computational complexity. Finally, an evaluation criterion is proposed for AMOEBA-I＇s cooperative reconfiguration performance. The validity of the cooperative reconfiguration method is proved by simulations and experiments.
