Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub...Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub>∈Syl<sub>r</sub> G and R<sub>2</sub>∈Syl<sub>r</sub>（L<sub>n</sub>（q））, then G≌L<sub>n</sub>（q）.展开更多
Due to the complexity of interaction among constituents inside the whole system, it is difficult to establish accurate mathematics models to describe and analyze the complex systems exactly. There are few attempts con...Due to the complexity of interaction among constituents inside the whole system, it is difficult to establish accurate mathematics models to describe and analyze the complex systems exactly. There are few attempts concerning on the moving process of endocrine disruptor in human bodies, which have been the polluted material worldwide related to the reproduction, existence and development of human being. Focusing on such two challenging issues, a multi-compartment model of endocrine disruptor Benzene moving in the human body complex system is established in this paper. Furthermore, passivity of this model is described systematically. A feedback controller for this descriptor biological complex system is used under the station of strict passivity, and an example of the controller is given for a particular instantiation of the model.展开更多
文摘Let G be a finite group. If |N<sub>G</sub>（R<sub>1</sub>）|=|N<sub>L<sub>n</sub></sub>（q）（R<sub>2</sub>）| for every prime r, where R<sub>1</sub>∈Syl<sub>r</sub> G and R<sub>2</sub>∈Syl<sub>r</sub>（L<sub>n</sub>（q））, then G≌L<sub>n</sub>（q）.
基金Acknowledgments This work is supported by National Natural Science Foundation （NNSF） of China under Grant 61104003, Fundamental Research Funds for Central Universities under Grant 110405009, China Postdoctoral Science Foundation under Grant 20100470780, Research Foundation for Doctoral Program of Higher Education of Education Ministry, Grant No. 20110042120016, Hebei Province Natural Science Foundation, Grant No. F2011501023, Research Foundation for Science and Technology Pillar Program of Northeastern University at Qinhuangdao, Grant No. XNK201301.
文摘Due to the complexity of interaction among constituents inside the whole system, it is difficult to establish accurate mathematics models to describe and analyze the complex systems exactly. There are few attempts concerning on the moving process of endocrine disruptor in human bodies, which have been the polluted material worldwide related to the reproduction, existence and development of human being. Focusing on such two challenging issues, a multi-compartment model of endocrine disruptor Benzene moving in the human body complex system is established in this paper. Furthermore, passivity of this model is described systematically. A feedback controller for this descriptor biological complex system is used under the station of strict passivity, and an example of the controller is given for a particular instantiation of the model.
