A graphical regular representation (GRR) of a group G is a Cayley graph of G whose full automorphism group is equal to the right regular permutation representation of G. Towards a proof of the conjecture that only finitely many finite simple groups have no cubic GRR, this paper shows that PSU 3 (q) has a cubic GRR if and only if q ≥ 4. Moreover, a cubic GRR of PSU 3 (q) is constructed for each of these q.
Considering the fact that the anti-swing performance and transport efficiency of the crane system are not satisfactory if we just control the velocity of the cable car, we came up with a joint control technology of the rope and trolley in crane system. Firstly, the simplified mathematical model of the cable car system is built. Secondly, the best joint control scheme is discussed by modeling simulating. Finally, the designing of joint control system is analyzed. What’s more, we will carry relevant experiments about the joint control technology in the near future. The data obtained from our experiment will be used to verify our theoretical results of joint control.
China's commercial magazine faces of increasingly fierce competition in the customer, so it must improve its management and marketing method to enhance competitiveness. It is the key point to strengthening customer relationship management. The study in this paper uses data mining techniques to enhance the management of the customer to explore new customers, maintain overall customers and accelerate the development of the magazine. Through the establishment of large database and data mining, we find useful data and the relevance to support decision-making and better improve the competitiveness of the magazine.
To recycle waste heat from circulating water, the model of the power plant heat pump regenerative thermal system is put forward, and the indexes of the system are analyzed. It is indicated in the specific case that the absorption heat pump has an advantage over the compression heat pump. Using the extraction steam of the low pressure cylinder as its driving heat source, economize on coal can be realized in the condition that the coefficient of performance(COP) of the heat pump is above the critical COP. For the case of the compression heat pump, the fuel efficiency is improved a little, but on the other hand, as the station service power is increased, the power supply coal consumption is increased too.
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