复变函数

Association with complex function in this study, mathematical thought in this phase inspires the later integer theory of analytic function.

通过与复变函数关联度的考察，强调了这一阶段蕴含的数学思想对后来整体解析函数理论具有一定的思想启发力。5。

By means of plane elastic complex variable method and the theory of boundary value problems for analytic function, the stress distribution of elastic body is given in closed forms.

本文研究集中力作用下带任意孔洞的各向同性半平面焊接问题，利用复变函数方法和解析函数边值问题的理论，给出了弹性体应力分布封闭形式的解。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane.

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

Based on the complex variable theory of sectioally holomorphic function, Cauchy type integral and Riemann boundary problem, the solution is derived from relationship of the sections.

通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合，求得各分区之间的解析关系，获得了问题的温度场。

By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数的方法，将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解。

The boundary value problems for holomorphic function are so important branches in the functions of a complex variable.

中文摘要：解析函数的边值问题是复变函数论中极为重要的分支之一。

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

He hypergeometric series, a complex function, statistical mathematics, elliptic function of both major contribution.

他对超几何级数、复变函数、统计数学、椭圆函数论都有重大贡献。

In this paper, the scattering of SH wave by the structure surface with multiple semi cylindrical medium inclusion is studied by using a function of complex variable and a multi polar coordinate method .

利用复变函数和多极坐标系的方法，研究了在结构表面上含有多个半圆形介质夹杂的散射问题，首先给出 SH波对多个半圆形介质夹杂的散射波函数，并利用多极坐标系的方法，来满足介质界面上的连续条件和表面上的边界条件，归结为对一组无穷代数方程组的求解，简化了问题的求解。

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。