次对称矩阵的一些性质

研究了次对称矩阵的性质,次对称矩阵与次对合矩阵,次正交矩阵的关系,并加以理论证明,得到了一些重要的结论。     

广义次正定矩阵的性质

讨论了广义次正定矩阵乘积的性质及广义次正定矩阵的代数结构,推广了著名的Minkowski不等式和Ostrowski-Taussy不等式.     

Meteorological observations on Mount Everest in 2005

Mount Everest,the highest point on the Earth is often referred to as the earth's third pole as such the place is relatively inaccessible and little is known about its meteorology.In April 2005,an automatic weather station was installed at the mountain's North Col(6523 m a.s.l.).According to the observational 10-minute mean and daily records,the meteorological characteristics were analyzed. All the meteorological elements displayed obvious diurnal variations during May 1 to July 22,2005.The monthly variation of daily meteo- rological elements on Mount Everest coincided with that on Dingri,the closest routine meteorological station,with the high correlation co- efficients of 0.928,0.877,0.682,0.755,0.826 and 0.676(n=83,p<0.001)for mean temperature,minimum temperature,max- imum temperature,relative humidity,pressure and wind speed,respectively.Furthermore,the vertical mean gradient of temperature was above 0.6℃/100 m,especially for the daily maximum temperature.Most weather events on Mount Everest prominently appeared on the same day as those on Dingri,especially those from daily mean pressure,temperature and relative humidity with the cross-correlation coeffi- cients of 0.673,0.485 and 0.487(n=83,p<0.001),respectively.Some other weather events on Mount Everest lagged one-day be- hind those on Dingri.Furthermore,forecasting of the weather events on Mount Everest from pressure on Dingri was more reliable than those from the other meteorological elements.The conclusions are much important for research on meteorology and climate changes in the region.     

Stability analysis of BAM neural networks with time-varying delays

Some new criteria for the global asymptotic stability of the equilibrium point for the bi-directional associative memory neural networks with time varying delays are presented. The obtained results present the structure of linear matrix inequality which can be solved efficiently. The comparison with some previously reported results in the literature demonstrates that the results in this paper provide one more set of criteria for determining the stability of the bi-directional associative memory neural networks with delays.     

Control of group velocity in an annular chain of microring coupled-resonator optical waveguides

In order to control group velocity,an annular chain of microring coupled-resonator optical waveguides was analyzed,and its transmission spectra were obtained using the transfer matrix method. The result showed that the curvature of the chain caused the dispersion curves to shift and the resonance fre-quency got fixed. It is therefore concluded that the group velocity of light in the annular chain of mi-croring coupled-resonator optical waveguides can be controlled by adjusting the curvature of the chain. We believe that such an annular chain can be used as an optical buffer or signal retarder for optical communication.     

Wavelet Numerical Solutions for Weakly Singular Fredholm Integral Equations of the Second Kind

Daubechies interval wavelet is used to solve numerically weakly singular Fredholm integral equations of the second kind. Utilizing the orthogonality of the wavelet basis,the integral equation is reduced into a linear system of equations. The vanishing moments of the wavelet make the wavelet coefficient matrices sparse,while the continuity of the derivative functions of basis overcomes naturally the singular problem of the integral solution. The uniform convergence of the approximate solution by the wavelet method is proved and the error bound is given. Finally,numerical example is presented to show the application of the wavelet method.     

一种实对称矩阵特征值的求法

运用正交相似变换将实对称矩阵约化为不可约对称三对角矩阵,依不可约对称三对角矩阵特征值的隔离性质,构造出具有分段严格单调性的等价模型,证明在每一单调区间内有且仅有一个根,并采用具有二次收敛的Newton迭代法求解.最后,给出了算法及算例.     

2*2上三角算子矩阵的谱的填洞问题

设Mc=(A C 0 B)∈B(X( )Y)为定义在Banach空间X( )Y上的上三角算子矩阵.讨论了Mc的左(右)谱σl(σr),左(右)本性谱σle(σre)和本性谱σe的填洞问题.     

跨世纪：儒学的地位及儒学研究的发展

儒学是包含着中国人生命气质的一种世界性文化资源。面对新的世纪，儒学研究必须走出中国，走到世界的大文化氛围之中。首先，儒学研究的发展应该面向全人类共同需要解决的问题；其次，儒学研究应打破自我中心的心态，确立在多元共存的世界文化中的地位；最后，儒学研究要重视与其他文化系统的交流和对话。儒学的生命力在于普及和传播。     

微型点阵打印机曲线绘制程序设计

着重分析了微型点阵打印机点阵图样打印输出功能，详细介绍了为其扩展二维曲线绘制功能的软件程序设计方法，为今后更好地应用该型号打印机奠定了基础。