可积函数

Based on the properties of the saturation function, it was proved that the stability region of such dynamical systems can be decomposed into Cartesian product of an invariant set of their adjoint systems and a sufficiently large ball.

结合饱和函数的特殊性质，证明了此类系统的稳定域可分解为伴随系统的不变集与一个足够大球体的笛卡尔积。

When seismic wavelet is in non-minimum phase , we can make it have smaller phase by doing exponential weighting . As for nonwhite noise problem of reflection coefficient , we may employ logarithmic power spectrum to estimate the autocorrelation function of seismic wavelet , then obtain seismic wavelet and deconvolution opera .

当地震子波为非最小相位时，可利用指数加权方法使之小相位化；对于反射系数非白噪声问题，本文提出利用对数功率谱来估算地震子波的自相关函数进而求取地震子波以及反褶积算子的方法；对于理想的期望子波，本文采用"宽带雷克子波"作为期望输出子波。

In this method the transfer functions, which are the response of the temperature and thermal stress in the key parts of the special structures caused by the unit temperature load with the special loading model, are computed firstly using the detailed finite element analysis. Then both the thermal and stress responses and their sensitivities to any complex change of temperature can be obtained by the simple cirro-product integral.

该方法的基本思想是：基于一定的结构和热载荷模式，将事先通过详细有限元分析求出的单位突加热边界条件变化引起的结构控制区的温度和热应力响应作为传递函数，然后进行简单的卷积积分运算，就可以得到任意热载荷幅值变化历史所对应的温度和热应力，进而也可快速进行灵敏度分析。

An on-line blind source separation algorithm of non-stationary mixed signals is presented. The algorithm uses the multiple time-delayed decorrelation and natural gradient rule to obtain the stationary point of the cost function, only a small number of observed samples is needed to minimize the Frobenius norm of the correlation matrices, so the computing cost is low and continuous separation calculation could be realized by on-line operation.

利用一种基于多时延解相关准则的代价函数和自然梯度原则，分别推导出非平稳信号在瞬态线性混合及卷积混合情况下的在线盲分离算法，仅通过对有限个时延样本的相关矩阵进行Frobenius范数最小化运算得到分离矩阵，计算工作量小，无需对样本进行分块处理，可实现对信号的连续跟踪操作。

Unfortunately, the variables of the tensor multiplicative wavelet function are separable, and wavelets analysis is often fail when it is used to represent the higher sigularities.

小波变换是目前已知的对信号\函数的点奇性进行描述的最好工具，但对于高维奇性，可分离变量的张量积小波分析常常会失效。

Our analyses indicate that the change of amplitude of SV-component receiver function against the change of epicentral distance is less than that of radial receiver function.

与径向接收函数类似，SV分量接收函数可通过对远震体波的SV分量直接反裙积P分量获得。

Based on the analysis of the Jahn-Teller effect, vibronic interaction and the resolution of group representations, the possible geometrical configurations of 〓 have been derived for the first time. The Gaussian-98 program has been used to optimize the geometrical configurations of 〓 based on B3LYP/6-311G method. It is found that there are at least six different stable geometrical configurations for 〓 The results show that the multiplicity of 2S＋1=7 for cluster 〓 is the most stable state among the eight geometry configurations.

基于多体项展式理论方法，研究得到了〓、HZrCo和〓三原子分子的分析势能函数，这些分析势能函数正确反映了它们的结构特点，可用于研究HZrCo、〓和〓的微观分子反应动力学。3从群的分解与直积理论出发，通过Jahn-Teller变形，vibronic相互作用以及群表示的分解的分析，首次导出了Jahn-Teller效应引起D〓和〓构型〓分子几何构型变化及其可能的电子状态。

In order to obtain more exact analytical solution to study the output characteristics of double-clad fiber lasers,according to the continuous-wave rate equations of fiber lasers,using typical parameters of double-clad fiber lasers,the contribution of the re-emission effect arising from the interaction between the upper-level atoms and pump light was estimated.Taking into account the predominant part of the re-emission to improve the accuracy of the integration approximated rate equations,the integration of the product of the loss and radiation should be found and explicit analytical expressions for the output of the DCFLs and gradient efficiency of the pump radiation,were deduced,and certain issues of concern were discussed.

为了求得用于研究双包层光纤激光器输出特性的更为精确的解析解，根据稳态速率方程组，针对典型的双包层光纤激光器参量，在估计了上能级粒子再发射项和抽运光产生的影响后，采用保留再发射贡献主导部分的办法以提高可积分近似方程的精确度，明确地提出了要获得光纤激光器输出功率的解析表达式的关键在于求出损耗系数与光场乘积的积分值，简洁地求得了输出功率和抽运光斜线效率的显函数解析表达式，并对其相关问题进行了讨论，以915nm，920nm和975nm的抽运光为例，当输出激光为1090nm时，得出975nm抽运光产生的斜率效率最高并可高达约87%。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。