In this paper we discuss a step further some convergence and continuity problems of distribution function on R^i. We give the following results: (1)distribution function F(x_1,…,x_k) on R^k is continuous if and only ...In this paper we discuss a step further some convergence and continuity problems of distribution function on R^i. We give the following results: (1)distribution function F(x_1,…,x_k) on R^k is continuous if and only if all marginal distribution functions of F is continuous on R^1. (2)If limF_n(x_1,……,x_k)=F(x_1,…,x_k) and limF_n(x_1—0,…,x_k—0)=F(x_1—0,…,x_k—0) at all non-continuity points of F, then展开更多
By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their S...By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n-mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function.展开更多
This paper proposes a low-complexity spatial-domain Error Concealment (EC) algorithm for recovering consecutive blocks error in still images or Intra-coded (I) frames of video sequences. The proposed algorithm works w...This paper proposes a low-complexity spatial-domain Error Concealment (EC) algorithm for recovering consecutive blocks error in still images or Intra-coded (I) frames of video sequences. The proposed algorithm works with the following steps. Firstly the Sobel operator is performed on the top and bottom adjacent pixels to detect the most likely edge direction of current block area. After that one-Dimensional (1D) matching is used on the available block boundaries. Displacement between edge direction candidate and most likely edge direction is taken into consideration as an important factor to improve stability of 1D boundary matching. Then the corrupted pixels are recovered by linear weighting interpolation along the estimated edge direction. Finally the interpolated values are merged to get last recovered picture. Simulation results demonstrate that the proposed algorithms obtain good subjective quality and higher Peak Signal-to-Noise Ratio (PSNR) than the methods in literatures for most images.展开更多
This paper aims to evaluate how Chart Buddhism played a part in Buddhist discourses reflecting an increased sense of legitimacy in ninth-century East Asia. It may not surprise us that the sinicisation of Buddhism impl...This paper aims to evaluate how Chart Buddhism played a part in Buddhist discourses reflecting an increased sense of legitimacy in ninth-century East Asia. It may not surprise us that the sinicisation of Buddhism implies a process of identity construction to place China in the centre. Culture and religion joined together in this process, first in China and then in Korea. However, the location of centrality or marginality was not fixed in Buddhist ontology. Rather, innovative Buddhist intellects such as Ch＇oe Ch＇iwon （b. 857 A.D.） ventured to create a reversal of centre and margin. In Ch＇oe Ch＇iwon＇s inscriptions for four Korean Son schools （the total of nine schools are also known as nine mountains）, an attempt to supersede China through Chan Buddhism is conspicuous. It is particularly inter- esting to note that, in the context of the cross-border transmission of Buddhism, the mobility of ＂Chan patriarchs＂ was essential in maintaining the legitimacy and continuity. This characteristic of the mobility of Chan patriarchs is seen in the Korean masters depicted by Ch＇oe Ch＇iwon＇s, namely Chingam, Ranghye and Chijong.展开更多
文摘In this paper we discuss a step further some convergence and continuity problems of distribution function on R^i. We give the following results: (1)distribution function F(x_1,…,x_k) on R^k is continuous if and only if all marginal distribution functions of F is continuous on R^1. (2)If limF_n(x_1,……,x_k)=F(x_1,…,x_k) and limF_n(x_1—0,…,x_k—0)=F(x_1—0,…,x_k—0) at all non-continuity points of F, then
文摘By extending the EPR bipartite entanglement to multipartite case, we briefly introduce a continuous multipartite entangled representation and its canonical conjugate state in the multi-mode Fock space, analyze their Schmidt decompositions and give their entangling operators. Furthermore, based on the above analysis we also find the n-mode Wigner operator. In doing so we may identify the physical meaning of the marginal distribution of the Wigner function.
基金Supported by Doctor’s Foundation in Natural Science of Hebei Province of China (No.B2004129).
文摘This paper proposes a low-complexity spatial-domain Error Concealment (EC) algorithm for recovering consecutive blocks error in still images or Intra-coded (I) frames of video sequences. The proposed algorithm works with the following steps. Firstly the Sobel operator is performed on the top and bottom adjacent pixels to detect the most likely edge direction of current block area. After that one-Dimensional (1D) matching is used on the available block boundaries. Displacement between edge direction candidate and most likely edge direction is taken into consideration as an important factor to improve stability of 1D boundary matching. Then the corrupted pixels are recovered by linear weighting interpolation along the estimated edge direction. Finally the interpolated values are merged to get last recovered picture. Simulation results demonstrate that the proposed algorithms obtain good subjective quality and higher Peak Signal-to-Noise Ratio (PSNR) than the methods in literatures for most images.
文摘This paper aims to evaluate how Chart Buddhism played a part in Buddhist discourses reflecting an increased sense of legitimacy in ninth-century East Asia. It may not surprise us that the sinicisation of Buddhism implies a process of identity construction to place China in the centre. Culture and religion joined together in this process, first in China and then in Korea. However, the location of centrality or marginality was not fixed in Buddhist ontology. Rather, innovative Buddhist intellects such as Ch＇oe Ch＇iwon （b. 857 A.D.） ventured to create a reversal of centre and margin. In Ch＇oe Ch＇iwon＇s inscriptions for four Korean Son schools （the total of nine schools are also known as nine mountains）, an attempt to supersede China through Chan Buddhism is conspicuous. It is particularly inter- esting to note that, in the context of the cross-border transmission of Buddhism, the mobility of ＂Chan patriarchs＂ was essential in maintaining the legitimacy and continuity. This characteristic of the mobility of Chan patriarchs is seen in the Korean masters depicted by Ch＇oe Ch＇iwon＇s, namely Chingam, Ranghye and Chijong.
