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Two characters, scale-free and hierarchical structure, are shown in lots of real systems all over the world. In this article, firstly, we build up a class of network models with hierarchical structure, denoted by Nh(t), and prove it to be scale-free. By computing average degrees, we find these network models are all sparse. Secondly, based on their special topological structure, we research analytically...
Many articles research network scale-free nature from the angle of the topology, this research from the angle of the dynamic equation of the scale-free of network. So far network operation, there is no exact definition, in this article we simply introduce several kinds of network operation. A class of network models, called the compound models, are constructed for understanding and comparing network...
Multiple-partite networks exist in the real world, such as engineering constructions consisted of workers and machines. We build up random multiple-partite network models and show their topological properties by means of well-known methods appeared in the Barabási-Albert model. We find some new characters of the Barabási-Albert model and BA-type models, and show a connection between the degree distribution...
For about 1800 years, tongue inspection has been one of the four major diagnostic methods in Traditional Chinese Medicine (TCM). The tongue is believed to be able to reflect the health status of the human body. However, making an accurate diagnose with the tongue is not a trivial task. It usually requires enormous training on the TCM doctor before he can make a reasonable diagnosis. Recently, image...
Hypersonic aircrafts, unlike conventional aircrafts, owns special structure and unique shape. In this case, the elastic vibration of the fuselage makes its dynamical model more complicated and unstable. In this paper, the doublecantilever beam system is used to model equations of aircraft's elastic vibration. With the consideration of the impact of vibration on the attack angle, forces and momentum,...
With a copper removal experiment, this paper verified a new mathematical model of Emulsion Liquid Membrane (ELM) extracting hazard metal from waste water. The experimental data were put into the newly developed mathematical model of ELM. Mathematical model prediction of the copper concentration in aqueous phase were compared with the copper removal experimental data. The deviation of the model and...
This paper presents a detailed analytical solution for a mathematical model of Emulsion Liquid Membrane (ELM) extracting hazard metal from waste water. By solving the resulting simultaneous partial differential equations using the Laplace transform method, we obtain formulas for solute (hazard metal) concentration in external phase (waste water) versus time, solute concentration profile inside the...
This paper considers the centralized energy supply system model which include the winter heating and summer cooling, The author carries on the analysis and the computation through the compressor, condenser and evaporator's power, the heat transfer and the flow quality, then establishes a steady-state mathematical model of water Source Heat Pump, which applied thermodynamics theory, the parameter distribution...
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