Let di（1≤ i≤n）, 51,52, 53 be nonzero derivations of a prime ring R with char R ≠ 2. Suppose that U is a Lie ideal such that u2 ∈ U for all u ∈ U. In this paper, we prove that U [U→] Z（R） when one of the foll...Let di（1≤ i≤n）, 51,52, 53 be nonzero derivations of a prime ring R with char R ≠ 2. Suppose that U is a Lie ideal such that u2 ∈ U for all u ∈ U. In this paper, we prove that U [U→] Z（R） when one of the following holds： （1） d1（x1）d2（x2）,… ,dn（xn）∈Z（R） （2） δ3（y）δ1（x） = δ2（x）δ3（y）. Further, if g is a Lie ideal and a subring then （3） δ1（x）δ2（y） ＋δ2（x）δ1（y） ∈ Z（R） for all xi,x,y ∈ U.展开更多
In this paper,a method with an eye-in-hand configuration is developed to hit targets during visual tracking for the TLS(Tele-Light Saber) game.It is not necessary to calibrate camera parameters and predict the traject...In this paper,a method with an eye-in-hand configuration is developed to hit targets during visual tracking for the TLS(Tele-Light Saber) game.It is not necessary to calibrate camera parameters and predict the trajectory of the moving object.Firstly,the expression of the image Jacobian matrix for the eye-in-hand configuration is proposed,and then an update law is designed to estimate the image Jacobian online.Furthermore,a control scheme is presented and the Lyapunov method is employed to prove asymptotic convergence of image errors.No assumption for the moving objects is needed.Finally,both simulation and experimental results are shown to support the approach in this paper.展开更多
In this paper quasi-exact solvability （QES） of Dirac equation with some scalar potentials based on s/（2） Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of t...In this paper quasi-exact solvability （QES） of Dirac equation with some scalar potentials based on s/（2） Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner＇s classification such that solved and the Bethe ansatz equations are derived in order to the Dirac equation with scalar potential is quasi-exactly obtain the energy eigenvalues and eigenfunctions.展开更多
基金Supported by the Natural Science Research Item of Anhui Province College(KJ2008B013)
文摘Let di（1≤ i≤n）, 51,52, 53 be nonzero derivations of a prime ring R with char R ≠ 2. Suppose that U is a Lie ideal such that u2 ∈ U for all u ∈ U. In this paper, we prove that U [U→] Z（R） when one of the following holds： （1） d1（x1）d2（x2）,… ,dn（xn）∈Z（R） （2） δ3（y）δ1（x） = δ2（x）δ3（y）. Further, if g is a Lie ideal and a subring then （3） δ1（x）δ2（y） ＋δ2（x）δ1（y） ∈ Z（R） for all xi,x,y ∈ U.
基金Supported by the National Natural Science Foundation of China(No.60905061)the National Natural Science Foundation of Tianjin(No.08JCYBJC12700)
文摘In this paper,a method with an eye-in-hand configuration is developed to hit targets during visual tracking for the TLS(Tele-Light Saber) game.It is not necessary to calibrate camera parameters and predict the trajectory of the moving object.Firstly,the expression of the image Jacobian matrix for the eye-in-hand configuration is proposed,and then an update law is designed to estimate the image Jacobian online.Furthermore,a control scheme is presented and the Lyapunov method is employed to prove asymptotic convergence of image errors.No assumption for the moving objects is needed.Finally,both simulation and experimental results are shown to support the approach in this paper.
文摘In this paper quasi-exact solvability （QES） of Dirac equation with some scalar potentials based on s/（2） Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner＇s classification such that solved and the Bethe ansatz equations are derived in order to the Dirac equation with scalar potential is quasi-exactly obtain the energy eigenvalues and eigenfunctions.
