To compare and analyze , the similar theoretical solution of limitless pulled board with a kind of triangle hole or a kind of square hole is derived using knowledge of complex function , and the analytical solution is gained 为了对比和分析，文中利用复变函数理论对带有一种三角形孔、一种正方形孔的无限大受拉板的近似理论解进行了推导，得出了解析解。
According to the nonhomogeneous anisotropic elastic and complex function theory , accurate boundary conditions of crack in composite material plate were founded to settle its boundary condition problems by conformal mapping method 摘要针对含裂纹的复合材料板，根据非均质各向异性弹性理论和复变函数理论，通过保角映射方法建立精确的边界条件，解决了裂纹的边界条件问题。
This article first discusses the vibration plane and its movement on the basis of complex analysis , and then describes the vibration plane of foucault pendulum intuitively , building up the mathematical models of foucault pendulum ' s vibration plane by matlab 摘要用复变函数讨论傅科摆的振动面及运动情况，在此基础上用建立傅科摆振动面的数学模型，直观地描述了傅科摆振动面。
This paper studies the ground motion of a triangular hill and antiplane response of a dike with flexible soil - structure interface while impacted by sh waves . the methods of complex function and moving coordinate system as well as a simple model are used here 通过复变函数法和移动坐标法，分别求解了sh波入射时三角形凸起地形对地震动的影响和柔性基础上三角形坝体结构的出平面反应。
The main purpose of this paper is using the combinations formula ( the equation is abbreviated ) ; complex analysis and the elementary method to study the combinatorial number , and give some new interesting combinatorial identities of combinatorial number reciprocal : ( the equation is abbreviated ) 摘要在熟知的组合恒等式(方程式略)的基础上，利用复变函数初等方法，得出组合数和的一组非常有趣组合恒等式，即(方程式略)等。
The scattering problems of sh - waves are studied in this paper by an interface arbitrary - shape - cavity as well as collinear cracks or interface cracks originating diametrically at the cavity edge in the field of linearly elastic dynamic mechanics . the methods of complex function and green ' s function are used here 本文在线弹性力学范畴内，采用复变函数和green函数方法研究了平面sh波在界面任意形孔洞、孔边径向裂纹和孔边径向界面裂纹上的散射问题。
In view of the limitation of the traditional inversion theory and method of the gravity and magnetic field , professional an yulin , etc , worked in china university of geoscience , has come into being the theory system of the all - direction imagery for local gravity and magnetic sources after having researched a few years . the theory system broke through the thinking method of traditional theory system , researched all - direction imagery of the 2d local gravity and magnetic sources by means of complex function theory and researched all - direction imagery of the 3d local gravity and magnetic sources by means of spherical harmonic analysis theory , developed greatly the interpretation theory on the gravity and magnetic field 该理论体系突破了传统的重、磁场解释理论体系的思维方式，采用复变函数理论研究二维局部重磁场源全方位成像，采用球谐分析理论研究三维局部重磁场源全方位成像，大大发展了重磁学科解释理论，可以在起伏地形、有背景叠加和高频干扰等复杂条件下，直接反演加叠代修改，求解分布在有限范围内的二维和三维重磁场源异常场的多种反演问题。
We have the following results . part i the computations of the bergman kernel functions the bergman kernel function plays an important role in several complex variables . s . bergman introduced the concept of bergman kernel function in 1921 when he studied the orthogonal expansion on d in c and he generalized it to the case in several complex variables in 1933 Bergman核函数的显式表达bergman核函数在(单、多)复变函数理论的发展过程中起着十分重要的作用， bergman在1921年研究复平面中区域d上的正交展开，其研究结果导出了一个核函数k _ d ( z ， ) ， ( z ， t ) d d 。
At first the form of the turbine blade has been analysed under the theory of aerodynamics and the angle kept tranformation of complex variable function , and thus the analytic formula of pneumatic moment has been deduced . meanwhile the analytic approach to function extremum being employed , the optimal installing angle of the jet has been gained , and the output power as well as the pneumatic efficiency has been analysed 通过空气动力学的理论，采用复变函数的保角变换，从理论上分析了涡轮叶片的形式，导出了风动转距的解析表达式，并采用函数求级值的解析方法，求得了喷嘴的最佳安装角度，分析了风动涡轮的理论输出功率和风动效率。
The works in detail are as follows : 1 . base on the essential solution for a complete elastic half space impacted by antiplane line source loading at horizontal surface , the essential solution of displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface is constructed by using the method of complex function and conformal mapping 从完整的弹性半空间表面承受线源荷载作用问题的基本解出发，用复变函数的保角映射方法获得含有任意形凹陷的弹性半空间在其水平面上任意一点承受时间谐和的反平面线源荷载作用时位移场的解答，即本文的green函数。
