查询词典 function of a complex variable

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.

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的粘弹性解析解。

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。

Laplace transform is to simplify the calculation and the establishment of the function is variable and complex variables of a function transformation.

拉普拉斯变换是简化计算而建立的实变量函数和复变量间的一种函数变换。

By means of the complex variable function method and introducing the conformal transformation,the plane elasticity problem about static crack of a finite width strip with a single edge crack is analyzed further and the exact solutions to the SIFs are found out and generalized to dynamics.

利用复变方法，通过构造适当的保角映射，分析了有限宽单边裂纹带中静态裂纹的平面弹性问题，给出应力强度因子的精确解，并将其推广到动力学。

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。

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 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。

In order to develop this local property,this paper presents a method,which uses Fourier Series to approximate the boundary shapes of the shafts with periodic boundary of cross section,and uses the conformal mapping in Theory of Function of a Complex Variable to make the complicated boundary shapes of the shafts map a unit circle.Thus elastic theory can analyze...

本文提出一种方法，其实质是：采用富里埃级数来逼近横截面呈周期性变化边界的轴类零件的边界形状；并应用复变函数论中保角映射原理，将零件复杂的边界形状映像成单位圆，从而使弹性理论可以分析和计算复杂边界轴类零件的应力场；再通过留数的求解实现保角映射的反变换。

The main achievements of the project are as follows: 1 the hypothesis that a decrease in seed mass causes an increase in mean dispersal distance has been tested based on the experiments of weed dispersal by wind. The experimental results partly support the hypothesis. The results will help farmers to make an optimal strategy of weed control; 2 a statistic method for inferring probabilistic distribution function of a random variable has been developed, by which probabilistic distribution functions of weed species dispersal have been determined; 3 the reproduction structure of Bromus sterilis has been studied; 4 a more complex CA model with 25 neighborhood cells were built, which can simulate spread of a weed population. This work promotes developments in both theory and application of CA models; 5 the "mean law" in weed control has been proposed. Accordingly, the algorism of patch spring may be calibrated; 6 the "patch" and "true patch" have been mathematically defined so that herbicide can be efficiently applied; 7 simulation validates that initial configurations of weed will affect dispersal of its population and strategies of controlling it, or its distribution patterns affect its dispersal progresses.

主要完成的工作和取得的成果有：1）用实验证实了重量较轻的杂草种子并不一定飞得比较重的远，其结果有助于农民制订杂草的优化控制策略；2）发展了一种推断随机变量分布函数的统计方法并用它来获得了几个杂草种的扩散分布函数；3）对杂草Bromus sterilis的繁殖结构进行了研究；4）建立了一个具有25邻的较复杂的能模拟杂草扩散的CA模型，并在理论和应用方面促进了CA模型的发展；5）在杂草控制方面提出了&平均法则&，据此可对按块施药方法进行校正；6）精确地定义了&块&和&真块&以便在杂草控制中能更有效地使用除草剂；7）模拟证实杂草种群的初始配置影响其扩散和控制策略，或者格局影响过程。

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。