套代数模上的线性保秩映射

主要讨论作用在复Hilbert空间弱闭 AlgN-模上的线性保秩映射，并给出在各种情况下保秩一性线性映射的刻画．作为应用，最后讨论了弱闭 AlgN-模上的模同构，并得出这样的同构是平凡的．     

对C题竞赛论文的评论

2007年全国研究生数学建模竞赛的C题"探讨提高高速公路路面质量的改进方案"是一个交通方面的实际课题,数据也是完全真实的.因为高速公路路面的寿命对降低高速公路的运行成本、保障运输安全有着极其重要的意义,世界各国都在努力提高高速公路路面的寿命,因此寻找提高高速公路路面质量的改进方案也是交通学科的前沿课题.     

The Nonadiabatic Geometric Phase (AA Phase) in a Quantum System Composed of a Cavity Field Interacting with a Quantum Oscillating-mirror

１ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｇｅｏｍｅｔｒｉｃｐｈａｓｅｐｌａｙｓａｎｉｍｐｏｒｔａｎｔｒｏｌｅｉｎｕｎｄｅｒｓｔａｎｄｉｎｇｓｏｍｅｏｆｔｈｅｏｕｔｓｔａｎｄｉｎｇｅｎｉｇｍａｓｏｆｑｕａｎｔｕｍｍｅｃｈａｎｉｃｓ，ａｎｄｉｔｈａｓｐａｉｄｍｕ...     

多阶光盘系统中帧同步信号的自适应检测

多阶光存储是提高光盘存储容量和数据传输率的重要途径。帧同步信号在多阶光盘的重放系统中起着很重要的作用。分析了实际多阶存储系统中帧同步信号的特征和信号检测的特点,提出了一种自适应检测帧同步码的方法。实验结果表明,该方法的精度可以满足系统的需求。     

期货价格预测——反向传播神经网络模型

利用神经网络的 BP算法 ,对较难解决的期货价格问题做了一些研究 ,获得了一定的成功 .     

具有模糊变量的线性规划问题

讨论含模糊变量的线性规划问题，研究了其求解方法。利用新定义的模糊数序关系，将它转换成一个多目标线性规划问题，然后进一步转换成两层多目标线性规划问题，进而利用分层规划法求解。     

A Kind of Generalization of the Curve Type Node Configuration in R^S（S 〉 2）

A kind of generalization of the Curve Type Node Configuration is given in this paper,and it is called the generalized node configuration CTNCB in RS(S＞2).The related multivariate polynomial interpolation problem is discussed.It is proved that the CTNCB is an appropriate node configuration for the polynomial space PSn (S＞2).And the expressions of the multivariate Vandermonde determinants that are related to the Odd Curve Type Node Configuration in R2 are also obtained.     

广度kdv方程的精确解:改进的齐次平衡法

In this paper,we present a solution methodology to obtain exact solutions of some nonlinear evolution equation by modifying the homogeneous balance method.Based on the modified homogeneous balance method,several kinds of exact(new)solutions of the generalized KdV equation are obtained.     

Multipartite Entanglement in Heisenberg Model

The effects of anisotropy and magnetic field on multipartite entanglement of ground state in Heisenberg XY model are investigated. The multipartite entanglement increases as a function of the inverse strength of the external field when the degree of anisotropy is finite. There are two peaks when the degree of anisotropy is γ=±1. When the degree of anisotropy increases further, the multipartite entanglement will decrease and tend to a constant. The threshold of the inverse strength of the external field for generating multipartite entanglement generally decreases with the increasing of qubits.