特征函数

In this dissertation,we consider the following nonlinear singular partial differentialequation in complex domain 〓where u=uis a unknow function,Fis a holomorphic function withrespect to the variables〓.

本文主要考虑的问题是复空间中的非线性全特征型奇性偏微分方程解的性质，即考虑如下偏微分方程〓的解的性质，其中〓为未知函数，F是一个关于变量〓〓的已知全纯函数。

A fuzzy logic system for classification of hydrometeor type based on polarimetric radar measurements is described.

根据不同相态降水粒子的散射和空间取向等特征建立了基本形式为不对称的T型函数的模糊逻辑识别的隶属函数，完善了该识别方法的流程，并利用美国KOUN雷达的观测资料，详细讨论了利用双线偏振雷达观测资料识别降水粒子相态的方法，并对其在实际业务运用中的合理性和可行性进行分析探讨。

Through the study, we can conclude that improper slave function shows fairly good earthquake-reflecting capacity to earthquakes with MS 5.0 in eastern China, which can be regarded as comprehensive parameter to the medium-term and short-term earthquake prediction and can determine three elements of an earthquake more exactly.

利用模糊数学中异常从属函数方法对1990～1997年华东地区16种前兆观测方法，近5万组观测数据的综合前兆场进行了时空演化特征研究结果表明，异常从属函数μ对发生在华东地区的MS≥5.0地震有较好的映震能力，可作为中期、中短期预报的综合指标，对地震三要素可作出较为准确的判定

This characteristic could be qualitatively explained as interference between σ amplitude and π amplitude of electrons final wavefunction. It also depends on the impact parameters: the π amplitude contribution is dominant at small impact parameters, which leads to a symmetric velocity distribution around the internuclear axis. However, At large impact parameters the σ amplitude contribution increases relatively, resulting into a asymmetric electrons velocity distribution around the internuclear axis.

出射电子的上述分布特征可由出射电子波函数σ振幅和π振幅的干涉进行定性解释，σ振幅和π振幅对出射电子波函数的贡献与碰撞参数相关，在小碰撞参数下，π振幅的贡献更加明显；而在大碰撞参数下，σ振幅的贡献更加显著。

We construct cost function which combines the likelihood function and boundary constraint function.

它利用似然函数和边界约束方程构造代价函数，来描述区域特征。

This method was mainly built on the operator matrix's singular value decomposition in the first class of operator equations, and then the best regularization parameters were selected in accordance with the characteristics of singular value so as to identify filter function, thereby removing noise of the function.

该方法主要建立在第一类算子方程的算子矩阵进行奇异值分解的基础上，然后根据奇异值的特征选取最佳正则化参数确定滤子函数，从而达到对该类函数的噪声去除效果。

The experiment results prove that the way with regularization technology is better than the way without regularization technology. In order to overcome the limitation of the regularization method, chapter 6 builds an irregular MRF model suitable for the motion estimation of feature point based on MAP-MRF frame. The energy function, which can reflect the joint probability distribution of motion parameters and the constraints relation of local 3D motion parameters, is established in irregular MRF.

为了解决正则化方法只能分析非刚体局部三维运动的缺点，第6章在基于MAP-MRF的分析框架中建立了与特征点运动估计相对应的非规则MRF模型，构造了非规则MRF模型中反映非刚体局部三维运动参数之间约束关系和运动参数联合概率分布的能量函数，通过能量函数最小化估计运动参数。

Monad is a useful tool for introducing imperative features to pure functional programming language. It has tree properties that make it especially useful: modularity, flexibility and isolation.

Monad作为一种构造函数式语言的工具，以其模块性、灵活性和独立性，可很好的解决在纯函数式语言中引入命令式语言特征的问题。

In this paper, by using some characteristic quantities such as value function, trust region radius, etc. in trust region method, we present a global error bound for the distance between a feasible solution and the optimal solution under the condition that the gradient vector of the objective function is strongly monotone.

本文利用信赖域方法中的几个特征量（由预测下降量给出的价值函数与信赖域半径等），在目标函数的梯度向量是强单调的条件下，为约束最优化问题的可行解与最优解之间的距离提供了一个全局误差界。

Based on different linear operators, some of the properties and characteristics of p-valent analytic functions and meromorphic multivalent functions were investigated extensively in this paper.

近年来，基于不同的线性算子，某些p叶解析函数类或亚纯函数类的性质和特征被广泛地研究。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷