定理的

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

Study on proof of sum of products equality and its application

给出了积分上限函数在证明等式和不等式、计算累次积分、证明微分中值定理和积分中值定理中的应用。

Taylor expansion gives proof to the uniqueness theorem and the maximum modules principle , which is simple and clear at a glance, compared with the traditional proo

利用泰勒展开式证明了唯一性定理，最大模定理，与传统证明相比，具有简单、一目了然的特点。

Existence theorems for optimal elements are proved with the aid of Zorn's lemma and the scalarization theory.

借助于 Zorn 引理和标量化定理证明了最优元的存在性定理。

On the time shift problems, the significance of the new concept of dyadic time has been interpreted.

在时移问题上，通过相关函数、卷积定理和功率谱定理来理解&并矢时间&这一新概念的意义。

Next, the existence of random fixed point for random semiclosed 1-set-contractive operator is discussed.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

We would simply require them to recognize, appreciate, and memorize the great pieces of language of the past - literary equivalents of the Pythagorean Theorem and the Law of Cosines.

我们仅仅需要他们认识、欣赏、记住历史上伟大的语言篇章——就好比是数学中毕达哥拉斯定理和余弦定理。

When proving the differential mid-value theorem,"Higher Mathematics" does know to make the auxiliary function ф in order to apply Rolle Theorem.

在证明微分中值定理时，《高等数学》作辅助函数ф的目的是为了应用罗尔定理。

The existence and convergence theorem of Newton method and quasi Newton method solving nonlinear equation with parameters F = 0 is obtained under point estimates and weak conditions.

在点估计条件下给出用Newton法及拟Newton法求解带参数非线性方程F = 0解的存在性定理和收敛性定理，以及误差估计。

Interpret conjunctions and disjunctions in terms of.

定理证明。定理1 对于给定集合A 和A上的二元运算，如果存在。。。。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。