Four Types of Percolation Transitions in the Cluster Aggregation Network Model

We study the percolation transition in a one-species cluster aggregation network model, in which the parameter α describes the suppression on the cluster sizes. It is found that the model can exhibit four types of percolation transitions, two continuous percolation transitions and two discontinuous ones. Continuous and discontinuous percolation transitions can be distinguished from each other by the largest single jump. Two types of continuous percolation transitions show different behaviors in the time gap. Two types of discontinuous percolation transitions are different in the time evolution of the cluster size distribution. Moreover, we also find that the time gap may also be a measure to distinguish different discontinuous percolations in this model.

A trial of using the cluster analysis to classify the ship noises and EEG (electroencephalogram)

Cluster analysis is a method often used in pattern recognition. With the aid of the signal processing and the learning of the computer, disfferent samples can be classifeid and recognized in a dimension reduction space of the characteristics because of the differences of their character -istics. To realize dimension reduction transformation, a nonlinear mapping method was discussed in this paper. To prove that the cluster analysis is suitable for quite different fields of samples, in this paper some ship noises and some EEG as the samples belong to two different fields are classified and shown. And it is worthy to point out that an adaptive step size expression of adaptive iteration deduced here will also be effective if it is applied to speed adaptive algorithm convergence of general signal processing.

Synthesis and structure of the cluster μ_3-sulfido-μ-(diethylphosphorodithioato-S,S'-)-allylthioureo-cyclo-tris-[(μ-sulfido)-x-(diethylphosphorodi-thioato-S,S')-molybdenum(IV)],Mo_3S_4(C_4H_(10)O_2S_2P)_4(C_4H_8N_2S)

Title compound,Mr=1273.16,was synthesized by a substitution reaction and its crystal' is triclinic belonging to space group P1 with cell parameters:a=13.944(2),b=14.143(7),c=14.233(3), A,a=77.35(3)°,β=69.94(2)°,γ=63.50(3)°,V=2351(1)A^3,Z=2,D_c=1.799g cm^(-3).Room tem- perature,graphite-filtered Mo K_α,radiation(λ=0.71073A)was used for data collection.μ=14.988 cm^(-1),F(000)=1280,R=0.051 for 7025 observed reflections.The crystal consists of decrete cluster molecules containing a duster core[Mo_3(μ_3-S)]^(10+)with three μ-S,one μ-dtp(dtp=[S_2P(OC_2H_5)]^(2-), three x-dtp and one allylthioureo to form a local six-coordinated sphere around each Mo atom.The bónds of cluster skeleton[Mo_3(μ_3-S)(μ-S)_3]^(4+),Mo—Mo 2.744～2.766,Mo—(μ_3-S)2.340～2.342 and Mo—(μ-S)2.272～2.296 A,are comparable with those found in the related analogues.

Sustainable development of resource-based industrial clusters in Yunnan,China

The resources-oriented industry cluster is geographically close to natural resources development and processing industry.The knowledge-intensive,technology-intensive,capital-intensive,and labor-intensive is a relatively aggregate associated with natural resources and will structure commonality and complementary coupling so that economic and social development play a leading role in the complex adaptive systems closely related to ecological environment.A resources-oriented industry cluster in Yunnan has general common characteristics of industrial clusters and will form the characteristics of the enterprise spatial aggregation of innovative network of the industrial chain and value chain.According to the market structure of resources and resources market behavior in Yunnan,the particularity of resources commodity production has conduced resources market structure and general merchandise market structure many differences.Optimizing the cluster structure and extending the industrial chain have improved the productivity of the cluster and extension the lifecycle of the cluster to achieve sustainable development.

About One Discrete Mathematical Model of Perfect Fluid

In work, it is constructed a discrete mathematical model of motion of a perfect fluid. The fluid is represented as an ensemble of identical so-called liquid particles, which are in the form of extended geometrical objects: circles and spheres for two-dimensional and three-dimensional cases, respectively. The mechanism of interaction between the liquid particles on a binary level and on the level of the n-cluster is formulated. This mechanism has previously been found by the author as part of the mathematical modeling of turbulent fluid motion. In the turbulence model was derived and investigated the potential interaction of pairs of liquid particles, which contained a singularity of the branch point. Exactly, this is possible to build in this article discrete stochastic-deterministic model of an ideal fluid. The results of computational experiment to simulate various kinds of flows in two-dimensional and three-dimensional ensembles of liquid particles are presented. Modeling was carried out in the areas of quadratic or cubic form. On boundary of a region satisfies the condition of elastic reflection liquid particles. The flows with spontaneous separation of particles in a region, various kinds of eddy streams, with the quite unexpected statistical properties of an ensemble of particles characteristic for the Fermi-Pasta-Ulam effect were found. We build and study the flow in which the velocity of the particles is calibrated. It was possible using the appropriate flows of liquid particles of the ensemble to demonstrate the possibility to reproduce any prescribed image by manipulating the parameters of the interaction. Calculations of the flows were performed with using MATLAB software package according to the algorithms presented in this article.