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By experiments, it is proved that the parabola method is faster and more precise than the golden section method and the Fibonacci method in searching for extremum of compound pendulum. Furthermore, the method can offer some references for the study of other extremum in physics.

文章通过实验采集数据并加以分析，证明了抛物线法搜寻复摆极值点比黄金分割法和Fibonacci法有更好的搜寻效果，并且该方法对于搜寻物理学中其它极值点问题具有参考价值。

The system is designed by hardware and software. By using Plug-ins to decode the compressed video stream, the design of hardware and software is proved to be correct.

本文对系统进行了硬件设计和软件设计，利用插件对输入到PC的压缩视频流进行软件解压缩并播放，验证了基于MPEG-2标准的视频压缩编码系统的软硬件设计的正确合理。

With typical application, verification and compurgation proved effectiveness of the technologies.

利用智能化内存，可以实现复杂的存储管理机制和精确的系统控制，并可以利用跨层协同降低存储管理开销。

To solve the third problem, the definition of T-revision function and RT-computation model are proposed, and it is proved that with the increase of revision time, T-revision function converges to revision function and T-revision function is computable.

作为对第3个问题的解决，作者提出了T-修正函数的定义和RT-计算模型，证明了随修正时间的增长，T-修正函数逼近修正函数，且T-修正函数是可计算的。

It is proved that the problem is computable through three approaches, which helps people understanding the problem more deeply and is benefit to finding good strategies.

采用三种不同的方法证明了问题具有可计算性，从不同的角度帮助加深对问题的理解，有利于想出好的策略。

The results of computation are compared with the results of experiment,and proved to be satisfactory.

将计算结果与实验结果进行了比较，结果是令人满意的。

Through the simulation computation of a certain project using this method, it is proved to be feasible.

通过对某工程的温控仿真计算，验证了该有限元算法的可行性，为在工程领域的应用提供了依据。

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

In Chapter 4, in the above system, the definitions of sensitive dependence on initial value, strong sensitive dependence on initial value and chaos set of a sequence of maps are put forward; Meanwhile, sensitive dependence on initial value of a sequence of maps is promited, and the concept of N - sensitive factor is also proposed; That at the local connected space λ_2/(N-1) is a N—sensitive factor, and a chaotic map containing strong sensitive dependence on initial value of a sequence of maps is proved.

第四章，在上述系统中给出了一列映射的初值敏感依赖、初值强敏感依赖和混沌集的定义；同时又对一列映射的初值敏感依赖进行了推广，提出了该系统下一个N-敏感系数的概念：证明了在局部连通空间中λ_2/N-1是系统的一个N-敏感系数；又证明了一列映射的混沌集蕴涵一列映射对初始条件具有强敏感依赖性。

The positive rate of SARS CoV antibody IgG is proved to be low among the pupils in this area, but concessive infection and aggregation of SARS still exist; the level of SARS CoV antibody will gradually decline or even diminish as time goes by.

该地区小学学生SARS-CoV抗体阳性率较低，存在隐性感染及聚集现象，SARS-CoV抗体IgG水平随时间延长会逐渐下降，甚至消火。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失