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Firstly, a cube work region was defined, and the analytic relationship between workspace point Cartesian coordinates and some manipulator parameters which were important to application was derived.

首先，定义了一个立方体工作区域，得到了对机构的实际应用影响较大的几个参数与工作空间点的笛卡尔坐标之间的解析关系。

The causes of shield tunnel defections could be divided into six branches: the segment dislocations, lining material deterioration and seepage. etc. Fault trees are also founded to illustrate each branch. 23 quantitative elements from the fault trees are selected to serve as the diagnosis indexes, all of which could be applied in engineering practice. By using the AHP method, a 3-level diagnosis index system is established. Afterwards, the procedure of setting up the quantitative judging criteria is given, as well as the relative index weight of index layer, by using the improved Analytic Hierarchy Process-multiplication scale method. At last, the values of corresponding parameters of membership functions are set, with the Cauchy distribution model.

将盾构隧道常见病害成因分为管片错位、衬砌材质劣化以及渗漏水等6个子系，对每个子系构建了病害故障树；从工程应用角度出发，从故障树中选取了23个可定量化因素作为评价指标，通过层次分析法建立了三层病害评价指标体系；对体系中单一评价指标的定量化分级方法进行简述，并给出所有指标的建议分级标准，采用改进的层次分析法－乘积标度法确定了各评判指标之间的相对权重；确定了基于Cauchy分布模型的隶属函数的关键参数。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法，导出各复势函数之间的解析关系，进一步得到特殊情况下所讨论问题的封闭解，并解出像力随温度梯度和位错位置变化的表达式。

Basing on the limitation analysis of single enterprise evaluation index of supply chain, this paper describes the characteristics, the design principle and function of the supply chain index system, establishes the evaluation index system, then uses level analytic approach to decide the weight of each evaluation index. finally it uses fuzzy comprehensive evaluation to study enterprise performance from the perspective of quantitative research and gives the measurement process.

本文在对供应链上单个企业的绩效评价指标的局限性的分析基础上，阐述了供应链指标体系作用及设计原则，并构建了供应链绩效评价指标体系，同时利用层次分析法确定各指标的权重，最后运用模糊综合评价方法从定量的角度对企业绩效评价方法进行研究，并给出评价过程。

The analytic concept of this survey is based on Porter's "industry value chain" and "five force analysis", with which the framework of the dissertation combines cable digitalization. According to the framework, researcher searches and collects relevant data, sets up the questions and interviewees of in-depth interview, analyses the changes of cable television industry value chain and observes the transformation of competitive atmosphere.

本研究以「价值系统」与「五力分析」为理论架构，套用於有线电视数位化过程，以发展出本研究研究架构，以此观点搜集相关资料、拟定问卷主轴与规划访问对象，然后分别从产业价值链来进行有线电视产业的内部分析，以五力分析来观察外部环境态势。

The study of the character sums is one of the hottest issues in analytic number theory.

多项式特征和的一些重要推广。

Homogeneous chemiluminescence system in neutral and near neutral aqueous solution with ClO_2 as oxidant and its analytic...

1以二氧化氯为氧化剂的中性及近中性均相化学发光体系的研究及其分析应用。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。