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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。

This paper describes the basic properties of the dectric coupling coefficient functions, the maximum value of which is determined by an approximate analytic expression.

并且给出了电场耦合系数函数最大值的一种简便确定方法。

Content: In this thesis, we investigate properties and coefficients maximum problem of some analytic functions in function theory, the research center is univalent function.

中文摘要：本文研究了函数论中几类解析函数族的性质和系数的最值问题，主要以单叶函数为研究对象，不仅对一些结果进行了推广，同时也获得了一些新结果。

The analysis and test results show that the concentration of stresses at the end of fillet welds between the tensile anchor plate and the tensile anchor tube is obvious, and the maximum principal tensile stress occurs in the stress concentration region.

结果表明，锚拉板与锚拉筒之间的连接焊缝下端部应力集中明显，最大主拉应力出现在该区域；在设计疲劳荷载作用下，该结构关键构造细节处均未发现疲劳裂纹，结构疲劳性能满足设计要求。

Results show that:(1) For each particle size of andalusite, variation tendency of the properties of the material is generally the same: the maximum of bulk density, compressive strength and rupture strength appears in the range of 5%-10% content of fiber, these properties of the material remarkably decrease as the fiber content exceed 10%; while at the same fiber content, the properties of the material increase with the increase of firing temperature.

结果表明：(1)对于不同粒度的原料，性能变化规律大致相同：在同一烧成温度下，体积密度、常温耐压强度、常温抗折强度在5％～10％之间出现峰值，加入量超过10％之后材料的性能明显下降；在相同的纤维含量下，随着烧成温度的提高，试样的各项性能均有所上升。

He dip angle of the maximum and the minimum press axis are low, intermediate axis is steep, that shows the actuating force is from horizontal direction.

轴和P轴的倾角统计的平均值为20°左右，最大和最小应力主轴产状较缓，中间应力轴产状较陡，区域的构造活动的驱动力来自水平方向。

Movement trajectories of electrons under complex field and state parameters when electrons return to the dielectric surface are obtained by simulation,such as impact energy and return time. Variation laws of electron movement with emergence angle and microwave electromagnetic parameters are also derived. The emergence angle of electron has significant effect on the movement of electron,and there is an emergence angle in which the electron has the maximum trajectory length and impact energy.

研究发现：电子出射角度对其运动状态有显著影响，电子存在运动轨迹最大的某一出射角度，该角度下电子拥有最大的撞击能量；微波电场幅值的增加将使电子撞击能量增加，返回时间减小，微波电场相位的变化使电子的撞击能量和返回时间呈周期振荡，这从本质上解释了电子数量在二次电子倍增过程中以微波频率两倍周期振荡的原因；随着微波频率的增加电子将由简单的类抛物线运动转变为复杂的振荡运动。

Variation laws of electron movement with emergence angle and microwave electromagnetic parameters are also derived. The emergence angle of electron has significant effect on the movement of electron, and there is an emergence angle in which the electron has the maximum trajectory length and impact energy, Impact energy will increase and return time will reduce as increasing the amplitude of electric field, and both parameter would oscillate with the phase of electric field, which can essentially explain that multipactoring electron number oscillates in twice the frequency with the increase of microwave frequency, electron trajectory will change from parabolic-like movement to complex oscillation.

研究发现：电子出射角度对其运动状态有显著影响，电子存在运动轨迹最大的某一出射角度，该角度下电子拥有最大的撞击能量；微波电场幅值的增加将使电子撞击能量增加，返回时间减小，微波电场相位的变化使电子的撞击能量和返回时间呈周期振荡，这从本质上解释了电子数量在二次电子倍增过程中以微波频率两倍周期振荡的原因；随着微波频率的增加电子将由简单的类抛物线运动转变为复杂的振荡运动。

From this background, we see the need to maintain the maximum power output from the panel by maintaining an angle of incidence as close to 0° as possible.

从这一背景下，我们认为有必要保持最大输出功率从小组的维持入射角接近0 ℃的。

The common method for obtaining the angle of the plane figure to projection plane is through the right-angled triangle method after getting the double-face projection of the plane figure on the basis of the conception of maximum oblique line.

求平面图形对投影面的倾角，通常需要知道平面图形的两面投影，利用最大斜度线的概念，通过直角三角形法求得。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！