角函数

Also the conformal transformation with complex variable theory can give an image of section of line to a circle and it could meet the condition to set mirror image currents before infinite half plane region.

磁场求解的场域满足磁势的拉普拉斯方程，可以通过复变函数的保角变换方法把圆环域变换为矩形域并延拓为带状域，结合平面镜象电流方法求解。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

By using the conformal mapping technique and the Laurent series expansion, a group of equations to predict effective bulk modulus and transverse shear modulus of multiphase fiber composites was obtained.

通过解析函数的保角变换与罗朗级数展开，获得了相应问题的解。根据复合材料平均应力与应变关系，获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。

Append A presents the formula of a singular integral with a complex parameter, by combining of the residual methode and the law of sines.

在附录A，联合使用保角变换法、留数定理和正弦函数的欧拉公式，求出了一类含有复参数的奇异积分的具体计算公式。

Of, relating to, or being a logarithmic function with a normal distribution.

直角三角形各角的函数是用各边的比来表示的。

Corresponding mathematics model was developed, hole-edge stress analysis on composite material plate with multiform holes was carried out, accurate boundary conditions was founded by conformal mapping method, boundary problems of the two stress functions could be treated by affine transformation in the same way synchronously.

建立了相应的数学模型，对含不同孔型复合材料板进行了孔边应力分析，通过保角映射方法建立精确的边界条件，解决了复杂孔型的边界条件问题，借助仿射变换能同时并且同方法的处理这两个应力函数在边界上的问题。

In order to get the stress analytic solution, the stress equations are deduced with conformal mapping method and residue theorem, the defaults of equations in the reference are corrected. This method overthrows the obstacle in the engineering stress calculation for the flat receptacle with conformal mapping.

为了建立有实际意义的扁挤压筒应力解析解，本文结合单连体复变函数保角映射法和留数定理推导出受内压力作用的扁挤压筒的应力求解公式，更正了国外文献中相应公式的错误，开发了受内压扁挤压筒的应力计算程序，实现了应力计算的程序化。

In the experiment the pre-processings, such as image filtering and Harris operator corner detector, etc. were used to get feature points quickly and realize the mapping transformation of camera parameters. The error estimate function was established to compare the proposed method with Tsai calibration algorithm.

实验过程中，利用图像降噪、改进的Harris算子角点提取等预处理过程快速提取特征点，实现摄像机参数标定的映射变换；建立了误差评价函数评价本文方法与Tsai标定算法。

In the experiment the preprocessings, such as image filtering and Harris operator corner detector, etc., were used to get feature points quickly and realize the mapping transformation of camera parameters. The error estimate function was established to compare the proposed method with Tsai calibration algorithm.

实验过程中，利用图像降噪、改进的Harris算子角点提取等预处理过程快速提取特征点，实现摄像机参数标定的映射变换；建立了误差评价函数评价本文方法与Tsai标定算法。

The analyzed results of the grain orientations may be directly expressed in a unit stereograph triangle and also easily determined on the transformation matrix of the grain boundaries, because the shapes of etch-pits are described by a continuous function of azimuth angle.

因为蚀坑形状是以方位角的连续函数来描述，故晶粒位向的分析结果可直接表示在单位赤面投影三角形中，且易于确定晶界的变换矩阵。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷