复值函数

algebroidal function ; uniqueness theorem ; characteristic function

最后，我们应用新定义的加法，将杨乐的联系重值的唯一性定理推广到多值的代数体函数。设A，，…，A。是定义在复平面C上的一组没有

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

By means of plane elastic complex variable method and theory of boundary value problems and integral equation.

利用平面弹性复变方法和解析函数边值问题以及积分方程的基本理论，研究不同材料的各向同性弹性长条与半平面的焊接问题，给出了弹性体应力函数封闭形式的

This paper provides the analytic method to calculate the value of Green s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

This paper provides the analytic method to calculate the value of Green"s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green"s functions detained with DCIT into Taylor expansion and deduce the analytic expression of the singularities at the zero distance with the help of the specific subdomain base functions.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

Ythagorean hodograph curves enjoy a number of remarkable properties, such as, its offset curves have exact rational representations; the arc length function of a Pythagorean hodograph curve is simply a polynomial function of the curve parameter; and the lower degree Pythagorean hodograph curves have intuitive geometrical interpretation.

H曲线具有诸如有精确的有理 Offset、弧长函数可由多项式函数表示以及几何解释优美等一系列优良性质。基于复分析方法，避免了实分析讨论中出现的复杂表示及繁琐计算，构造了满足给定 C1 Hermite插值条件且以C1拼接连续的三次 PH曲线偶。该曲线偶可灵活处理拐点，从而克服了一般三次 PH曲线因恒凸而无法处理拐点的缺陷。

By using them, we can discuss the theory of holomorphic functions on domains: the characterization of zeros sets of holomorphic functions on the boundary, the characterization of A infinity interpolation sets on the boundary, etc.

对于复椭球和广义复椭球，我们给出了其全纯支撑函数的估计，构造了边界上的拟距离，并用这些结果来研究域上的解析函数论：边界上解析函数零点集的刻划，A无穷插值集的刻划等。

Concerning value distribution theory, Q.C.Zhang got the following result:Let f be a non-constant meromorphic function in C, b is a finite non-zero complex number, if f and f" CM share 0 and IM share b, then: f ≡ f", or f =(2b)/(1-ce-2z) here c is any non-zero constant.

在值分布理论中，张庆彩得到了这样的结果：设f是复平面上的非常数亚纯函数，b是非零的有限复数，若f和f′CM分担o且IM分担b，则： f≡f′，或者 f=2b/1-ce-2z ，其中c是任意非零常数。

Iterative algorithm; real orthogonal polynomial; parameter identification; partial fraction; experimental modal analysis

应用部分分式实正交多项式构建频响函数幅值平方的分析模型，规避了原有复正交多项式的复杂计算。

Firstly, the target vector is transformed to the state with minimization of cross-polarization; then the parameters u/v/H are used to characterized scattering mechanism, and the fuzzy membership is adopted instead of "hard" division of parameter plan; finally, characterizing the coherency matrix as multivariable complex Wishart distribution, the polarimetric SAR image is classified based on Bayes maximum likelihood criteria.

该文提出了一种新的非监督分类算法，该算法首先根据去取向理论，将目标向量旋转到最小交叉极化方向；然后，采用u/v/H参数描述散射机制，以模糊隶属函数代替参数平面的"硬"阈值划分；最后，以多元复Wishart分布描述相干矩阵，基于Bayes极大似然分类准则进行分类。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。