采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道(洞室等)的粘弹性解析解。
This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.
通过有限元计算和复变函数推导，系统研究了面板接缝的渗流规律，给出了接缝渗流量和渗透比降的解析计算公式，可用于面板堆石坝接缝渗流控制的设计。
The seepage of CFRD joints is studied by using finite element calculation and complex variable function. The analytical equations of seepage quantity and gradient are deduced.
根据应力波理论和复变函数方法，建立了求解爆破地震波作用下任意形状洞室动态响应的解析方法。
In terms of stress wave theory and complex function, analytical solution for the interaction between blasting seismic wave and arbitrary shape underground Chambers is deduced.
摘要最大模原理在复变函数论中占有重要的地位，是研究解析函数的有力工具。
Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic 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。
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.
通过讨论初等多值函数的单值解析分枝问题，重点研究了初等多值函数在复变函数中的具体应用。
The multi-valued problems of elementary complex functions are discussed, and then the applications of general multi-valued functions in complex functions are discussed mainly.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
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