Hamilton’s Markov switching model is applied to RMB’s real exchange rates in this paper.On the basis of this model,the hypothesis of the state-dependent variance substitutes that of invariable one.
In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton so...In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton solutions of eq(1. 1) are obtained. In the end of the paper, the single soliton solution and Double soliton solution are discussed. The result extends the situation in [1].展开更多
In this work, the easy to use, simple and direct equations were formulated and tested. These equations can be used to calculate the mean values of the heat transfer coefficients of inside tube flow during phase change...In this work, the easy to use, simple and direct equations were formulated and tested. These equations can be used to calculate the mean values of the heat transfer coefficients of inside tube flow during phase change. Analytical and experimental methods were used to correlate these equations. Two different forms were used, one for evaporation case and the other for condensation case. Carbon dioxide, CO2, was used as case study. Correlated values of the mean heat transfer coefficients （hcor,.） were compared with the experimental results （he^e） and with other published result, a good agreement was noticed. The resulted correlations can be used to simplify the design and performance studies of both condensers and evaporators.展开更多
First. we use graph theory to further clarify information of nodes and topics. Next, our paper analyzes the factor which affects the nodes probability of being conspirators. According to requirement 1, each node is gi...First. we use graph theory to further clarify information of nodes and topics. Next, our paper analyzes the factor which affects the nodes probability of being conspirators. According to requirement 1, each node is given an initial probability in being a conspirator on the basis of the acquired information.Then we conduct calculations with the iterative equation produced by factor analysis to get the priority list of the 83 given nodes. In addition, according to requirement 2, we make some changes of the nodes information before solving the iterativc modcl above. Compared with former result, some changes of priority and probability of being conspirator emerges.Finally, based upon requirement 3, we pick out some infomaation from some certain topic by semantic analysis and text analysis. A new group of indexes are solved out with TOPSIS to finish the information-gathering period. The terminal indicator, containing the information of nodes and topics, is a weighted average value of the indexes obtained above and the indexes obtained in requirement 1 with the method of the variation coefficient.展开更多
In this paper, to study rumor spreading, we propose a novel susceptible-infected-removed （SIR） model by introducing the trust mechanism. We derive mean-field equations that describe the dynamics of the SIR model on ...In this paper, to study rumor spreading, we propose a novel susceptible-infected-removed （SIR） model by introducing the trust mechanism. We derive mean-field equations that describe the dynamics of the SIR model on homogeneous networks and inhomogeneous networks. Then a steady-state analysis is conducted to investigate the critical threshold and the finaJ size of the rumor spreading. We show that the introduction of trust mechanism reduces the final rumor size and the velocity of rumor spreading, but increases the critical thresholds on both networks. Moreover, the trust mechanism not only greatly reduces the maximum rumor influence, but also postpones the rumor terminal time, which provides us with more time to take measures to control the rumor spreading. The theoretical results are confirmed by sufficient numerical simulations.展开更多
If n is a positive integer,let f (n) denote the number of positive integer solutions (n 1,n 2,n 3) of the Diophantine equation 4/n=1/n_1 + 1/n_2 + 1/n_3.For the prime number p,f (p) can be split into f 1 (p) + f 2 (p)...If n is a positive integer,let f (n) denote the number of positive integer solutions (n 1,n 2,n 3) of the Diophantine equation 4/n=1/n_1 + 1/n_2 + 1/n_3.For the prime number p,f (p) can be split into f 1 (p) + f 2 (p),where f i (p) (i=1,2) counts those solutions with exactly i of denominators n 1,n 2,n 3 divisible by p.In this paper,we shall study the estimate for mean values ∑ p<x f i (p),i=1,2,where p denotes the prime number.展开更多
文摘Hamilton’s Markov switching model is applied to RMB’s real exchange rates in this paper.On the basis of this model,the hypothesis of the state-dependent variance substitutes that of invariable one.
文摘In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton solutions of eq(1. 1) are obtained. In the end of the paper, the single soliton solution and Double soliton solution are discussed. The result extends the situation in [1].
文摘In this work, the easy to use, simple and direct equations were formulated and tested. These equations can be used to calculate the mean values of the heat transfer coefficients of inside tube flow during phase change. Analytical and experimental methods were used to correlate these equations. Two different forms were used, one for evaporation case and the other for condensation case. Carbon dioxide, CO2, was used as case study. Correlated values of the mean heat transfer coefficients （hcor,.） were compared with the experimental results （he^e） and with other published result, a good agreement was noticed. The resulted correlations can be used to simplify the design and performance studies of both condensers and evaporators.
文摘First. we use graph theory to further clarify information of nodes and topics. Next, our paper analyzes the factor which affects the nodes probability of being conspirators. According to requirement 1, each node is given an initial probability in being a conspirator on the basis of the acquired information.Then we conduct calculations with the iterative equation produced by factor analysis to get the priority list of the 83 given nodes. In addition, according to requirement 2, we make some changes of the nodes information before solving the iterativc modcl above. Compared with former result, some changes of priority and probability of being conspirator emerges.Finally, based upon requirement 3, we pick out some infomaation from some certain topic by semantic analysis and text analysis. A new group of indexes are solved out with TOPSIS to finish the information-gathering period. The terminal indicator, containing the information of nodes and topics, is a weighted average value of the indexes obtained above and the indexes obtained in requirement 1 with the method of the variation coefficient.
基金Supported by the National Natural Science Foundation of China under Grant Nos.61103231,61103230the Innovation Program of Graduate Scientific Research in Institution of Higher Education of Jiangsu Province of China under Grant No.CXZZ110401+1 种基金the Basic Research Foundation of Engineering University of the Chinese People's Armed Police Force under Grant No.WJY201218 the Natural Science Basic Research Plan in Shaanxi Province of China under Grant No.2011JM8012
文摘In this paper, to study rumor spreading, we propose a novel susceptible-infected-removed （SIR） model by introducing the trust mechanism. We derive mean-field equations that describe the dynamics of the SIR model on homogeneous networks and inhomogeneous networks. Then a steady-state analysis is conducted to investigate the critical threshold and the finaJ size of the rumor spreading. We show that the introduction of trust mechanism reduces the final rumor size and the velocity of rumor spreading, but increases the critical thresholds on both networks. Moreover, the trust mechanism not only greatly reduces the maximum rumor influence, but also postpones the rumor terminal time, which provides us with more time to take measures to control the rumor spreading. The theoretical results are confirmed by sufficient numerical simulations.
基金supported by National Natural Science Foundation of China (Grant No.11071235)
文摘If n is a positive integer,let f (n) denote the number of positive integer solutions (n 1,n 2,n 3) of the Diophantine equation 4/n=1/n_1 + 1/n_2 + 1/n_3.For the prime number p,f (p) can be split into f 1 (p) + f 2 (p),where f i (p) (i=1,2) counts those solutions with exactly i of denominators n 1,n 2,n 3 divisible by p.In this paper,we shall study the estimate for mean values ∑ p<x f i (p),i=1,2,where p denotes the prime number.
