弱函数

When obtaining this condition,we don\'t use any bounding technique to deal with the weak infinitesimal operator of the Lyapunov function by using the knowledge of stochastic analysis.

积分的性质，引入了适当的自由权矩阵，避免了对Lyapunov函数的弱无穷小算子进行放大，从而降低了稳定性条件的保守性。

Basing on thesingular integral operators T with weaker kernel introduced in chapter two,westudy the weighted boundedness on〓(1＜p＜∞)and the endpoint estima-tes of their higher order commutators with BMO functions in chapter three.

对第二章引入的弱核奇异积分算子，第三章主要讨论它们与BMO函数的高阶交换子〓在〓上的有界性及端点估计。

Within the WBEPM theory,the transition probabilities and oscillator strengths of some heavier and light atoms and ions are investigated.We also used the conceptions of spectrum-level-like series and iso-spectrum-level series to study the energy levels of some atoms.Based on the previous work,we used double generalized Laguerre polynomial to calculate the value for the ground-state energy of He atom.

本论文在郑能武教授提出的最弱受约束电子势模型理论基础之上，对若干较重和轻原子离子的跃迁几率和振子强度作了研究；引入类光谱态能级序列的概念和等光谱态能级序列的概念研究了一些原子离子的能级性质；并在前人工作的基础上用双广义拉盖尔函数对氦原子的基态能量做了计算。

In Chapter Two, Liapunov functional method and Liapunov function method with Razumikhin techniques are employed to obtain some delay independent stability results for the Cohen-Grossberg neural networks with multiply delays.

在第三章中，我们首先对一般的无时滞Cohen-Grossber神经网络模型建立了几个稳定性定理，即文中定理3.3.1-3.3.4。从其中推论可看出负的自联接起着很大的稳定化网络的作用。然后我们考虑了一般的Hopfiel神经网络模型，运用单调动力系统理论，在对激发函数做出很弱的假定下获得了与时滞相关的稳定性结果，并对时滞的大小给出很多的估计，文中定理3.4.3。

Based on classical theory of mechanics, analytical procedure was developed to predict initial stiffness, plastic stiffness and plastic ultimate moment capacity of top-and-seat angle minor axis connections.

根据本文的理论计算结果，使用三参数幂函数和指数函数两种数学模型模拟了钢框架梁柱弱轴顶底角钢连接的弯矩—转角曲线，理论分析得出的数学模型和试验结果吻合较好。

The monotonicity and the convergence of deterministic nature are proved.

文中给出了误差函数的单调性定理以及该算法的弱收敛和强收敛性定理。

If for any two t-edge sequences whose initial edges have non-empty intersection, there exists an automorphism of H mapping one to the other, then H is called locally weakly t-transitive.

若对於任二个 t-线序列，其第一个元素的交集并非空集合时，均存在一个 H 的自同构函数将其中一个对应到另外一个，则 H 称为局部弱 t-递移。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

The genetic algorithm,which combined with penalty function method ,improved the local-search properties.

针对标准遗传算法局部搜索能力弱的特点，通过将其与惩罚函数法结合，提高了全局寻优能力。

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理，所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。