Applied Mechanics and Materials Vols. 336-338

Abstract: We introduce a construction method with rational function horizontal or vertical sections based on the relationship between copula function and its generator. The copulas formula with fraction linear horizontal (vertical) sections is given. In addition, nonexistence about Archimedean copulas with quadratic rational function horizontal or vertical sections has been proved.

Abstract: Customer frequent churn is a serious problem in telecom. In the three major telecom operators, the competition is quite fierce. Owing to lack of a high-efficient prediction model ,the existing means effect is far from enterprise target. This paper proposes a combination model CPM based on constraint model, prediction model and mark model responsible for different job. Customer subdivision is vital for pertinent service further to reduce the rate of latent customers run off.

Abstract: In this paper we prove the uniform stabilization of global solutions for some quasilinear higher-order wave equation with linear damping term and source term by applying a lemma due to V.Komornik.

Abstract: Symmetric features of the frieze group equivalent mappings were analysed, and two partitioning algorithms are given for constructing generalized Mandelbrot sets of frieze group equivalent mappings in order to study the characteristics of generalized Msets. Based on generating parameter space of dynamical system, lots of patterns of generalized Mandelbrot sets are produced.

Abstract: Cluster evolution tracking and dimensionality reduction have been studied intensively but separately in the time decayed and high dimensional stream data environment during the past decades. However, the interaction between the cluster evolution and the dimensionality reduction is the most common scenario in the time decayed stream data. Therefore, the dimensionality reduction should interact with cluster operation in the endless life cycle of stream data. In this paper, we first investigate the interaction between dimensionality reduction and cluster evolution in the high dimensional time decayed stream data. Then, we integrate the on-line sequential forward fractal dimensionality reduction technique with self-adaptive technique for cluster evolution tracking based on multi-fractal. Our performance experiments over a number of real and synthetic data sets illustrate the effectiveness and efficiency provided by our approach.

Abstract: Edge-disjoint Hamiltonian cycles are helpful to implement efficient and fault tolerant algorithms that require a ring structure. The n-dimensional parity cube, PQn, is a variant of hypercube. The existence of two edge-disjoint Hamiltonian cycles in parity cube is unknown. In this paper, we prove that there exist two edge-disjoint Hamiltonian cycles in n-dimensional parity cube with n≥4.

Abstract: Modeling by Petri net for DEDS has been widely used including the robot technology and Semiconductor production line (SPL). It is critical to build a reliable model of DEDS for assessing and optimizing the scheduling of production resources. The HCTPN (Hierarchical Colored-Timed Petri net) model is proposed in this paper, which can effectively deal with the model explosion of basic Petri net by enhancing the describing ability of basic Petri net (the color factor and the time factor will be introduced to the Petri net) and introducing the hierarchical Petri net. At the last of the paper, the simulation results show the effectiveness and reliability of the established HCTPN model of SPL by CPN Tools.

Abstract: The chaotic frequency hopping sequences possesses short-term predictability. Via the phase space reconstruction approach, we can get chaos attractors, and the problem of series prediction can be transformed into the regression problem of the chaotic attractors. This paper uses SVR method to deal with the prediction of frequency hopping sequences. After analyzing the characteristics of existing kernel functions, we produce a new multi-kernel function, which is used for the prediction of frequency hopping sequences. Experiments show the fine performances of our methods.

Abstract: The computer program CARD for used to calculate cosmic radiation doses of aviation route is developed by CAUC. In this paper the function, structure and run principle of CARD is presented. for management of radiation protection, according to the flight data of routes the cosmic radiation effective doses of every year received by the flight personnel during 2001 to 2011 were calculated with software CARD. The results obtained that calculated with CARD were compared with the data calculated using the CARI-6 and measured, respectively. The CARD results and CARI6, and measured agree within 10%.

Abstract: We studied the Diophantine equation x²+4ⁿ =y⁷.By using the elementary method and algebaic number theroy, we obtain the following concusions: (i) Let x be an odd number, one necessary condition which the equation has integer solutions is that 2⁶ⁿ-1/7 contains some square factors. (ii) Let x be an even number, when n=7k(k≥1) , all integer solutions for the equation are (x,y)=(0,4^k) ;when n=7k+3, all integer solutions are (x,y)=(±2^7k+3,2^2k+1); when n≡1,2,4,5,6 the equation has no integer solution.