无穷

The first steepest descent method will be extended to infinite-dimensional space.

首位将最速下降法推广到无穷维空间。

In order to study the fatigue of pressure vessel commonly encountered problem in engineering with large destructibility , based on the theory of fracture mechanics , the pressure vessel existing original crack was equivalent to the problem of infinite flat with center crack .

为了分析工程中常见的破坏性极大的压力容器疲劳问题，基于断裂力学理论将存在初始裂纹的压力容器等效为无穷远处作用均匀拉应力的含中心裂纹无限大板问题，解出表面半椭圆裂纹和穿透裂纹的应力强度因子；利用断裂判据得到裂纹的临界断裂尺寸；采用Paris表达式对裂纹扩展速率进行描述，推导出初始裂纹在不同裂纹尺寸和形式下的裂纹疲劳扩展寿命。

The research content of this project is mainly the study of the differentiability of Lipschitz mapping and its appilications.

本项目以无穷维Banach空间上Lipschitz映射的可微性问题及其应用为主要研究课题。

This function is infinite-order differentiable with respect to wavelet coefficient, and can adaptively shrink wavelet coefficient in the neighborhood of the threshold.

其为收缩因子函数与小波系数的乘积，对小波系数无穷可导、可在阈值邻域内对小波系数自适应收缩。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Methods the technic of multi-digital sensor timing in-phase control, simulation of infinitude imaging, auto-collection parameter control, direction adjustment, inside special blur matching arithmeticetc were used.

方法应用多个数字传感器定时同步控制技术、拟无穷远成像技术、适应采集参数控制、位校准、置专业模糊匹配算法等进行技术创新。

Finally, we give some examples.In Chapter 3, The existence of a bounded global attactor for Olmstead model with homogeneous Dirichlet boundary condition is proved under some condition on the parameters.

本章分四个部分，第一部分是对问题的概述；第二部分讨论了扩散系数对具有无穷时滞的一维竞争扩散系统的空间一致定态解的稳定性的影响，将扩散系数d作为分支参数，我们证明了从d_0处当d

In chapter 3,we focus our re-search on the property of random Dirichlet series converging only in the righthalf-plane,and come to the precise result in the aspect of the Borel point'sdistribution of random Dirichlet series of infinite order.

第三章给出了只在右半平面上收敛的随机Dirichlet级数的一些性质。关于无穷级随机Dirichlet级数在虚轴上的Borel点分布情况，取得了精确的结果。

The existence of an attractor is one of the most important characteristics for a dissipative system,the long-time dynamics is completely determined by the attractor of the system.

在这种耗散型的无穷维动力系统中，吸引子的存在性是最重要的特征之一，系统的长时间性态完全被系统的吸引子所决定。

In addition, the distributed parameter system is likely to be described by concentrated parameter models in a certain extent.

同时也表明采用集中参数模型在一定的范围内是可以描述本质上是无穷维分布参数系统的。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。