复变函数

Analytic functions of complex variable function is the main object of study, and the five equivalent conditions of analytic functions penetrate the whole process of learning of complex function.

解析函数是复变函数论主要的研究对象，而解析函数的五个等价条件又贯穿了我们对复变函数论学习的全过程。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法，导出各复势函数之间的解析关系，进一步得到特殊情况下所讨论问题的封闭解，并解出像力随温度梯度和位错位置变化的表达式。

A calculation model of stress field of the composite plate with circular holes was built according to the theory of complex variable function.

根据复变函数理论建立了计算模型。采用仿射变换的方法得到了准确描述应力场的复变应力函数。

The expressions of multiple complex variable flexure stress function of a infinite plane with arbitrary holes are derived by using the theory of complex variable functions and multiple conformal mapping transformation.

应用弹性力学复变函数理论，采用多保角变换方法，推出了含有任意多孔无限大平板弯曲或者扭转的多复变量弯曲应力函数表达式。

This paper proves strictly the soundness of a formula of the logarithm function of a complex variable and points out the wrong conclusion concerning it in《Engineering Mathematics-Functions of a Complex Variable》compiled by the Mathematics Teaching and Research Section of Xi an Jiaotong University.

本文严格证明了关于复变量对数函数的一个公式的正确性，同时指出了西安交通大学数学教研室编写的《工程数学———复变函数》一书中有关结论的错误。

The main contents of this course include: complex number and planar point set, function of complex variable, complex integral, series, residue, conformal mapping, analytic extension, harmonic function.

本课程的基本内容有：复数与平面点集、复变函数、复积分、级数、留数、保形映射、解析开拓、调和函数。

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法，把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域，把整体坐标转为局域曲线坐标，而，最终把问题简化归结为一组无穷代数方程组的求解问题。

It is an important branch of mathematics and it has developed into a bulky subject and has been extensively applied in other natural sciences such as mechanics, calorifics, theoretical physics and other branches of mathematics.

复变函数论是数学的重要分支之一，它本身在发展中已成为一门庞大的学科，而对其它的自然学科，如力学、热学、理论物理及数学的其它分支，复变函数论均有重要的应用。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。