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In addition, he was also proved as the arch enemy of mankind.

此外，他还证明了作为人类的主要敌人。

Recently. by complexification of the space and time variable, also using the Picard-Lefschetz theory, argument principle, Riemann manifold and homology theory, Gavrilov [25] proved the same result under the condition X〓 has one center and one saddle or two centers and two saddles.

最近Gavrilov[25]将方程复化后利用Picard-Lefschetz理论，幅角原理及同调论等工具得到X〓有一个中心、一个鞍点和两个中心、两个鞍点的情形下I零点个数的上确界。

Arianism; This belief proved the greatest challenge to the early church.

阿里乌斯派：这种信仰被认为是对早期教会的最大挑战，是由北非希波的主教阿里乌斯（256—336）所领导。

With aristotelian logic he proved the inferiority of women.

与亚里士多德的逻辑，他证明了自卑的妇女。

He proved by theory and experiment that Aristotle was wrong.

他证明了理论和实验，亚里士多德是错误的。

Finite Element Method is an important means of engineering subject and has been proved to be a common method in many subjects. However, disadvantages still remained. During the structural analysis, large amount of high-order units were used in order to ensure the precision of arithmetic solution when using Finite Element Method to do discrete processing. This will cause high order of coefficient matrix of corresponding equation group.

有限元方法是工程学科的重要工具，被证明为在许多科学和工程领域中连续物理系统模拟的一种普遍方法，但缺点是随着工程结构分析问题越来越复杂，在结构分析中，为保证数值解的精度，在使用有限元方法离散处理时，往往要用大量的高阶单元将结构剖分得很密，这时相应的代数方程组的系数矩阵的阶数很高，即使用目前速度最快的串行机来进行求解，费时仍然太多且问题的规模受到内存容量的限制。

Finally, the feasibility of the model and the validity of the arithmetic are proved through an example.

最后，通过具体实例的应用说明了模型的可行性和算法的有效性。

The 1750s proved to be difficult years both professionally and personally for Arne.

在1750年代证明自己是专业和个人的阿恩艰难的岁月。

This result also was proved by the study of the performance of SBS modified asphalt with different content of aromatic hydrocarbon.

这一结果在不同系列芳香烃含量的SBS改性沥青性能研究中也得到证实。

Compared with traditional way,catalytic aromatization of isophorone has been proved to have many advantages.

与传统工艺相比，异佛尔酮的催化芳构化制备3，5-二甲基苯酚方法具有很多优点。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。