复变函数

Analytic function is the primary object of complex function theory, which has important properties and widespread applications.

解析函数是复变函数论研究的主要对象，它具有重要的性质和广泛应用。

Antiplane responses of a scalene triangular hill or structure, an isosceles triangular hill or structure, an isosceles triangular hill with a subsurface cavity to incident SH waves are studied in this paper based on methods of wave function expanding, complex function, moving coordinates and by employing idea of assistant function.

本文在"分区"和辅助函数思想的指导下，综合利用了波函数展开、复变函数、移动坐标三种方法，研究了等腰三角形凸起地形和坝体结构、非等腰三角形凸起地形和坝体结构、浅埋圆孔附近等腰三角形凸起地形等三类问题对SH波的散射。

The theory of functions of a complex variable is the extension of calculus to complex variables.

复变函数是微积分的内容从实变量到复变量的扩展。

This term studies mainly the applications of Theory of covering surface in differential equations, potential theory, complex dynamics and several complex variables, and researches the analysis and geometry properties of random Taylor series and random Dirichlet series.

本项目主要研究覆盖曲面理论及其在微分方程、位势理论、复解析动力系统以及多复变函数中的应用；研究随机泰勒级数、随机狄里克莱级数的分析性质和几何性质。

In this paper, the analytic solution for scattering of SH-wave by elliptic cylinder in anisotropic medium is given by the method of separation of variables in elliptic coodi- nates and Mathieu functions.

对于这一课题的研究，介质为各向同性时，有些学者采用波函数益加〔，积分方程技术田和Fourier积分方法⑧；介质为各向异性时，有些学者则利用复变函数构造解的完备函数序列，把间题转化为对一组无穷型的代数方程的求解〔魂，〔5，。

In this paper, five equivalent conditions of the definition and five special nature of analytic function are given, and followed by their mutual equivalence of the proof , the relationship between the equivalent conditions and the nature of analytic functions is revealed, which can help us to learn the concept of complex variable function in deep depth and make analytic functions an important role in complex variable function.

本文依次给出了解析函数的五个等价条件及五个性质，并通过对它们相互等价性的证明，导出了解析函数等价条件与性质之间的关系，更加深入地揭示解析函数这一概念的内涵，展示出了解析函数在复变函数论学习中的重要性。

Matlab ellipse paintings did not provide the function, which was oval in the center long axis of oval painting after the short axis, in which the use of complex variable function.

matlab没有提供画椭圆的函数，该函数在获得椭圆中心长轴短轴后进行画椭圆，其中使用复变函数。

In this paper employing periodic function of complex function, a power function and a logarithmic function were constructed to obtain Principle Quantum Number , Angular Quantum Number , Magnetic Quantum Number , Spin Quantum Number and the relations between them.

利用复变函数中周期函数结构，构造了一个幂函数和一个对数函数。给出了电子的主量子数、角量子数、磁量子数和自旋量子数，以及它们之间的关系。

Based on the fundamental works done by professor Fan Ky, who was the founder of this direction, the present paper introduces the definitions of the class of meromorphic univalent operator-valued functions with positive operator coefficients on Hilbert space and the argument of the operator-valued functions, improves and extends some problems in classical geometry theory of complex functions to the case of operator-valued functions, and studies them respectively.

基于该方向的首倡者Fan Ky教授关于该理论的奠基性工作，本文引入了一类星形算子值函数的定义以及解析算子值函数辐角的定义，将经典的复变函数几何理论中的一些问题推广到了解析算子值函数的情况，并分别进行了讨论。

In recent years, Feng Kang has advanced a more natural and direct redu-ction, i. e. the reduction via Green's formula and Green's function.

近年来冯康又提出一种更自然而直接的归化，即从Green公式及Green函数出发将微分方程边值问题化为边界上的含有广义函数意义下发散积分有限部分的奇异积分方程，这种归化在各种边界归化中占有特殊地位，被称为正则边界归化，本文将这一理论应用于重调和椭圆边值问题，研究了其正则归化的性质，并通过利用Green函数、Fourier分析及复变函数论方法等不同途径求出了在上半平面、单位圆内部、单位圆外部三种区域的Poisson积分公式及正则积分方程，其离散化可用于实际计算。

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。