As an important component of fine traditional Chinese culture, promoting cross-cultural communication music is the theme “Culture Going-Out” Strategy. This paper introduces narrative theory into and separates five paradigms its overseas narrative: Japan’s geographical relationship dimension, South Korea’s cultural trade Southeast Asia’s historical immigration United States’ political security I...

Petri net model of the widely known protocol BGP of Internet backbone routing was constructed. The decomposition of Petri net model of communication protocol BGP into functional subnets was implemented. Invariance of the source model was proved on the base of established invariance of its functional subnets. The speed-up of computations obtained is exponential with respect to dimension of Petri...

We address a fundamental mismatch between the combinations of dynamics that occur in cyber-physical systems and the limited kinds of dynamics supported in analysis. Modern applications combine communication, computation, and control. They may even form dynamic distributed networks, where neither structure nor dimension stay the same while the system follows hybrid dynamics, i.e., mixed discrete...

A constant time and space algorithm for embedding the hypercube architecture into the 3-dimension mesh (3Dmesh) is presented. This enables the cubei operation to be performed on the embedded hypercube machine where the interprocessor communication function cubei is defined on the embedded hypercube's PEs as cubei (bn−1LbiLb0 ) = bn−1LbiLb0 and bi is the binary complement of bi .

Three aspects of texture are considered by the fractal geometry: Fractal Dimension (FD), Lacunarity and Succolarity. Fractal Dimension has been well studied; a great number of approaches have been presented to extract it from images. It can be computed from black-white to multi-band image. There are many approaches also, from the simple Box-Dimension to the most complex Hausdorff Dimension. The...

In this paper we present some new properties of the metric dimension defined by Bouligand in 1928 and prove the following new projection theorem: Let dimb(A − A) denote the Bouligand dimension of the set A − A of differences between elements of A. Given any compact set A ⊆ R such that dimb(A−A) < m, then almost every orthogonal projection P of A of rank m is injective on A and P |A has Lipschit...

We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting collective dynamics and their possible evolution to consensus. The objective of this paper is to study the effect of time delays in the general model. By a Lyapunov functional approach, we provide convergence results to consensus for symmetric as well as nonsymmetric communication weights under some structu...