The basic problem of a radar group monitoring an object group that has all along been a problem of concern in the international circles of military science has been solved for the first time.A mathematical model for s...The basic problem of a radar group monitoring an object group that has all along been a problem of concern in the international circles of military science has been solved for the first time.A mathematical model for solving the 3-D monitoring problem has been developed based on the quasi-physical concept and a practical fast algorithm has been found.A high-efficiency tracking and monitoring system can be designed for use by radar troops and the administrative and commercial departments concerned using this algorithm.展开更多
Protein folding problem is one of the most prominent problems of bioinformatics. In this paper, we study a three-dimensional off-lattice protein AB model with two species of monomers, hydrophobic and hydrophilic, and ...Protein folding problem is one of the most prominent problems of bioinformatics. In this paper, we study a three-dimensional off-lattice protein AB model with two species of monomers, hydrophobic and hydrophilic, and present a heuristic quasi-physical algorithm. By elaborately simulating the movement of the smooth elastic balls in the physical world, the algorithm finds low-energy configurations for a given monomer chain. A subsequent ＂off-trap＂ strategy is proposed to trigger a jump for a stuck situation in order to get out of local minima. The methods have been tested in the off-lattice AB model. The computational results show promising performance. For all sequences with 13 to 55 monomers, the algorithm finds states with lower energy than previously proposed putative ground states. Furthermore, for the sequences with 21, 34 and 55 monomers, new putative ground states are found, which are different from those given in present literature.展开更多
文摘The basic problem of a radar group monitoring an object group that has all along been a problem of concern in the international circles of military science has been solved for the first time.A mathematical model for solving the 3-D monitoring problem has been developed based on the quasi-physical concept and a practical fast algorithm has been found.A high-efficiency tracking and monitoring system can be designed for use by radar troops and the administrative and commercial departments concerned using this algorithm.
基金This work was supported by the National Grand Fundamental Research 973 Program of China(Grant No.2004CB318000)the National Natural Science Foundation of China nnder Grant No.10471051.
文摘Protein folding problem is one of the most prominent problems of bioinformatics. In this paper, we study a three-dimensional off-lattice protein AB model with two species of monomers, hydrophobic and hydrophilic, and present a heuristic quasi-physical algorithm. By elaborately simulating the movement of the smooth elastic balls in the physical world, the algorithm finds low-energy configurations for a given monomer chain. A subsequent ＂off-trap＂ strategy is proposed to trigger a jump for a stuck situation in order to get out of local minima. The methods have been tested in the off-lattice AB model. The computational results show promising performance. For all sequences with 13 to 55 monomers, the algorithm finds states with lower energy than previously proposed putative ground states. Furthermore, for the sequences with 21, 34 and 55 monomers, new putative ground states are found, which are different from those given in present literature.
