初始条件

According to Oseledec multiplicative ergodic theory and singular boundary theory, the conditions of local and global stability were acquired.

为了研究随机因素对经济系统稳定性的影响，建立了系统可靠性函数和首次穿越时间概率密度函数，并结合初始条件和边界条件得到了数值结果。

The phenomenon is very sensitive to both parameters and the initial condition, and it is of weak selfsimilarity. The mechanism is quantitatively analyzed on the phase plane and extended phase plane by the CCCOI-RM transformation.

同时发现在采用不同FACTS元件时，控制器参数空间中的稳定域中存在不稳定的孤岛，该现象对初始条件非常敏感并有自相似性。

The airflow aroused by a butterfly flapping its wings over southern half-globe maybe lead to tornado over northern half-globe after several weeks' "combination", which is "butterfly effect" in chaos theory. It refers to a phenomenon depending on sensitivity of initial condition: the tittle difference in input will quickly amplify into overwhelming discrimination in fan-out.

一只蝴蝶在南半球扇动翅膀鼓起的气流经过几星期的"组合"，可能会导致北半球刮起龙卷风，这是混沌学理论中的"蝴蝶效应"，指对初始条件敏感性的一种依赖现象：输入端微小的差别会迅速放大到输出端压倒一切的差别。

The mechanical system generates one-dimensional maps the orbits of which seem to exhibit sensitive dependence on initial conditions only in an extremely small set of their field of definition.

机械系统的运行轨道生成一维地图展示敏感，似乎只依赖于初始条件极其微小的领域的定义。

Auto-adaptive wave filter theory and technology is the main content of statics and non-stable random signal processing, which has the best performance of VINA and KARMAN wave filter, and no base knowledge or initial requirement is required. It is adapting outside environment by self-studing.

自适应滤波理论和技术是统计信号处理和非平稳随机信号处理的主要内容，它具有维纳滤波和卡尔曼滤波的最佳滤波性能，但不需要先验知识的初始条件，它是通过自学习来适应外部自然随机环境的。

Auto-adaptive wave filter theory and technology is the main content of statics and non-stable radom signal processing,which has the best performance of VINA and KARMAN wave filter,and no base knoledge or initial requirement is required. It is adapting outside environment by self-studing.

自适应滤波理论和技术是统计信号处理和非平稳随机信号处理的主要内容，它具有维纳滤波和卡尔曼滤波的最佳滤波性能，但不需要先验知识的初始条件，它是通过自学习来适应外部自然随机环境的。

Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained.

首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列，并证明它们一致收敛于原问题的最优解。

Concretely, firstly with Timoshenko beams, the fundamental formulae of solutions of dynamical equations, boundary conditions and initial conditions have been transformed by Laplace transformation. Secondly, in the Laplace regions , we gain the analytical solutions of impact forces at the impact contact points, shear and maximum inverse stress of beams. Then, by using Durbin numerical inverse method, we gain the numerical solutions of Timoshenko beams under various restriction conditions. Moreover, the graphs about impact forces at the impact contact points, shear and maximum inverse stress of beams can be obtained too.

把Timoshenko梁力学模型动力学方程的基本解形式、边界条件以及初始条件进行Laplace变换，在Laplace区域得到了冲击接触处的冲击力、整个梁的最大弯曲应力和剪力的解析解，然后利用Durbin数值反演的方法得到了各种约束条件下的Timoshenko梁模型时间-空间的数值解，得到了冲击接触处的冲击力、梁各处的最大弯曲应力和剪力的曲线图。

Having obtained the initial conditions , we goon to solve the network differential equations.

在获得初始条件后，我们接下来就要解决这些网络微分子方程了。

Gross weight of the platform with magnetic system in the initial condition was 350 kg.

总重量的平台，磁系统的初始条件为350公斤。

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。