In order to solve linear interaction programming, the vertex-searching method is proposed in this paper. First, the existence of equilibrium is analyzed for the model of linear interaction programming. Then the conclu...In order to solve linear interaction programming, the vertex-searching method is proposed in this paper. First, the existence of equilibrium is analyzed for the model of linear interaction programming. Then the conclusion is obtained in which the equi- librium is in the boundary of the restriction region of linear interaction programming. Also, a searching equilibrium solution is deduced from the conclusion.展开更多
The CNC Four-shaft Interactive Multifunctional Spark Linear Cutter developed by the Beijing City Electric Processing Research Institute and the Technological Development Department of the Dimeng Machinery and Electric...The CNC Four-shaft Interactive Multifunctional Spark Linear Cutter developed by the Beijing City Electric Processing Research Institute and the Technological Development Department of the Dimeng Machinery and Electrical New Technological Company has the following features:展开更多
Ocean response to atmospheric forcing in the CZ ocean model is analyzed.The results show that Nino 3 indexfrom the CZ ocean model driven by linear composite of biennial,ENSO and even annual time scale wind stressanoma...Ocean response to atmospheric forcing in the CZ ocean model is analyzed.The results show that Nino 3 indexfrom the CZ ocean model driven by linear composite of biennial,ENSO and even annual time scale wind stressanomalies is consistent well with composite of responding two or three components of observed Nino 3 index duringthe EI Nino period while the La Nina phenomena cannot be reproduced by the linear composite.It implies that linearresponse process for ocean response to atmospheric forcing is dominated during the EI Nino period while nonlinearresponse might be main process during the La Nina period.Simulated results also suggest that optimal response frequency of the CZ ocean model is the frequency lowerthan annual variability and ocean response to the atmospheric forcing with annual time scale can give rise to incorrectsignal-errors in the simulated SSTA field.展开更多
In this paper, we study some ergodic theorems of a class of linear systems of interacting diffusions, which is a parabolic Anderson model. First, under the assumption that the transition kernel a = （a（i,j））i,j∈s ...In this paper, we study some ergodic theorems of a class of linear systems of interacting diffusions, which is a parabolic Anderson model. First, under the assumption that the transition kernel a = （a（i,j））i,j∈s is doubly stochastic, we obtain the long-time convergence to an invariant probability measure Vh starting from a bounded a-harmonic function h based on self-duality property, and then we show the convergence to the invariant probability measure Uh holds for a broad class of initial distributions. Second, if （a（i, j））i,j∈s is transient and symmetric, and the diffusion parameter c remains below a threshold, we are able to determine the set of extremal invariant probability measures with finite second moment. Finally, in the case that the transition kernel （a（i,j））i,j∈s is doubly stochastic and satisfies Case I （see Case I in [Shiga, T.： An interacting system in population genetics. J. Math. Kyoto Univ., 20, 213-242 （1980）]）, we show that this parabolic Anderson model locally dies out independent of the diffusion parameter c.展开更多
基金Supported by the National Soft Science Research Project of China (2006GXSZD085)
文摘In order to solve linear interaction programming, the vertex-searching method is proposed in this paper. First, the existence of equilibrium is analyzed for the model of linear interaction programming. Then the conclusion is obtained in which the equi- librium is in the boundary of the restriction region of linear interaction programming. Also, a searching equilibrium solution is deduced from the conclusion.
文摘The CNC Four-shaft Interactive Multifunctional Spark Linear Cutter developed by the Beijing City Electric Processing Research Institute and the Technological Development Department of the Dimeng Machinery and Electrical New Technological Company has the following features:
文摘Ocean response to atmospheric forcing in the CZ ocean model is analyzed.The results show that Nino 3 indexfrom the CZ ocean model driven by linear composite of biennial,ENSO and even annual time scale wind stressanomalies is consistent well with composite of responding two or three components of observed Nino 3 index duringthe EI Nino period while the La Nina phenomena cannot be reproduced by the linear composite.It implies that linearresponse process for ocean response to atmospheric forcing is dominated during the EI Nino period while nonlinearresponse might be main process during the La Nina period.Simulated results also suggest that optimal response frequency of the CZ ocean model is the frequency lowerthan annual variability and ocean response to the atmospheric forcing with annual time scale can give rise to incorrectsignal-errors in the simulated SSTA field.
基金The first author is supported by National Natural Science Foundation of China (Grant Nos. 10531070,11071008)SRF for ROCS,Science and Technology Ministry 973 project (2006CB805900)the Doctoral Program Foundation of the Ministry of Education,China
文摘In this paper, we study some ergodic theorems of a class of linear systems of interacting diffusions, which is a parabolic Anderson model. First, under the assumption that the transition kernel a = （a（i,j））i,j∈s is doubly stochastic, we obtain the long-time convergence to an invariant probability measure Vh starting from a bounded a-harmonic function h based on self-duality property, and then we show the convergence to the invariant probability measure Uh holds for a broad class of initial distributions. Second, if （a（i, j））i,j∈s is transient and symmetric, and the diffusion parameter c remains below a threshold, we are able to determine the set of extremal invariant probability measures with finite second moment. Finally, in the case that the transition kernel （a（i,j））i,j∈s is doubly stochastic and satisfies Case I （see Case I in [Shiga, T.： An interacting system in population genetics. J. Math. Kyoto Univ., 20, 213-242 （1980）]）, we show that this parabolic Anderson model locally dies out independent of the diffusion parameter c.
