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By giving the definition of mapping space, some abstract and basic conjugation elements can be impressed by direct geometric graphics. Also, resort to the mapping space, the fundamental theorem of singular conjugation is proved.

本文研究了共轭曲面原理的奇点共轭理论，并在此理论指导下对新型奇点共轭传动——0°渐开线包络蜗杆传动进行了系统的理论分析与实验研究。

Application of contraction mapping principle to recursion sequence of number;2. With the Banach contraction mapping principle and Schauder fixed-point theorem, on the consistent condition of nonlinear term, we get .

用压缩映像原理和Schauder不动点定理对带有不跨特征值扰动项的梁方程边值问题进行了研究，在非线性项满足渐进一致性条件下，得到了相应的解的存在唯一性结论。

The theoretic results on conventional theorems are far from the experiment results. Through discussing on ABA mapping, we obtain the general collage theorem and local collage theorem for ABA mapping.

本文从分析ABA映射的Collage定理入手，导出了ABA映射的广义Collage定理和ABA映射的局部Collage定理，并提出了符合实际情况的概率模型。

In order to get the stress analytic solution, the stress equations are deduced with conformal mapping method and residue theorem, the defaults of equations in the reference are corrected. This method overthrows the obstacle in the engineering stress calculation for the flat receptacle with conformal mapping.

为了建立有实际意义的扁挤压筒应力解析解，本文结合单连体复变函数保角映射法和留数定理推导出受内压力作用的扁挤压筒的应力求解公式，更正了国外文献中相应公式的错误，开发了受内压扁挤压筒的应力计算程序，实现了应力计算的程序化。

This paper discusses the application of ontology mapping,and proposes a framework for automatic instance transformation based on mapping,and presents relative transforming algorithms.

探讨了本体映射的应用模式，提出一个基于映射的自动实例转换框架，并展示了相关的转换算法。

This study explored a preliminary image with the mapping relationship between music and mapping laws, a transformation of images to the music algorithm, the image transformation to the music for a bold attempt to make people feel the use of auditory visual enjoyment effect.

详细说明：本研究初步探索出了图像与音乐之间的映射关系和映射规律，提出了一种图像向音乐转化的算法，对图像向音乐的转化进行了大胆的尝试，使人们用听觉感受到了视觉享受的效果。

Speed up the province of basic geographic information industry base construction, promote the digital mapping information mapping to the transformation and upgrading of the progressive realization of real-time access to geographic information, process automation, services, network and application socialization.

加快省基础地理信息产业基地建设，促进数字化测绘向信息化测绘转化和升级，逐步实现地理信息的获取实时化、处理自动化、服务网络化和应用社会化。

In this method, we make use of xml mapping to eliminate name heterogeneity,utilize transformation expression to eliminate unit heterogeneity, make use of transformation function and mapping tables to eliminate precision heterogeneity, data type heterogeneity and the heterogeneity of data expression method.

在该方法中，利用xml映射来消除命名异构；利用转换表达式来消除单位异构；利用转换函数，映射表来消除精度的异构，数据类型异构以及数据表示方法的异构。

The problem that under what conditions the - resolvent operator of a maximal TJ - monotone set-valued mapping is a Lipschitz continuous single-valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional Euclidean spaces.

借助于图收敛理论证明了有限维欧氏空间中的两个极大单调集值映射的和映射在较弱条件下仍是极大单调集值映射，并在此基础上讨论了一般集值变分包含问题解集的凸性、闭性和有界性。

Based on the study of the relation between meromorphic mapping and moving targets,a new truncated second main theorem is proved for meromorphic mapping in several complex variables with moving targets.

通过对亚纯映射与小映射之间关系的研究，给出了一个涉及小映射的亚纯映射精简密指量形式的第二基本定理，并由此得到相应的亚纯映射唯一性定理。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。