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New contributions of this work are as follows:(1). Preparation of Spherical MgCl_2-Supported Late-Transition Metal Catalysts for Ethylene Polymerization Facile and effective immobilization of late-transition metal catalysts. 2,3-bis-(2,6-diisopropylphenyl) butane diimine nickel dibromide (1) and 2,6-bis-[1-(2,4,6-trimethylphenylimino)ethyl]pyridine iron dichloride (2), for ethylene polymerization has been achieved, using spherical MgCl_2 supports obtained by thermal dealcoholization of MgCl_2·2.56C_2H_5OH, and the effects of dealcoholization temperature on supported late-transition metal catalysts and the properties of resultant polymers were studied, the results indicated that: 1.Supports with appropriate mechanical strength, high surface area and high porosity could be prepared by thermal dealcoholization of spherical MgCl_2·2.56C_2H_5OH supports; 2.BET, XRD, IR, SEM, GPC and DSC analyses indicate that the activities of the supported late-transition metal catalysts and the properties of resultant polymers are strongly dependent on the dealcoholization temperature.

本工作的新贡献如下：(1)、球形氯化镁负载后过渡金属催化荆催化乙烯聚合本文将配合物2，3-双(2，6-二异丙基苯亚胺)丁烷二溴化镍(1)和配合物2，6-二[1-(2，4，6-三甲基苯亚胺)乙基]吡啶二氯化铁(2)分别直接负载于经不同热脱醇温度处理的球形氯化镁载体上，研究了氯化镁载体的脱醇温度对负载化后过渡金属催化剂及其聚合物的影响，研究表明： 1、通过对球形MgCl_2·2.56C_2H_5OH载体进行热脱醇处理，可以获得合适机械强度、较高比表面积和较高孔隙度的球形氯化镁载体； 2、BET，XRD，IR，SEM，GPC和DSC研究表明，脱醇温度极大地影响负载后过渡金属催化剂的活性和聚合物的性能。

To the emmetropia eyes, the negative spherical aberration of nature lens can compensate the plus spherical aberration of the cornea to reduce the whole spherical aberration of the human eye and keep a better vision.

一般对于正常眼来说，晶状体的负球差可以部分补偿角膜的正球差，从而降低整个人眼光学系统的球差，以保证较好的视觉功能。

In addition, the study on ionic liquid being used as the electrolyte of EDLC was carried out extraneously, a good result of 310F/g was obtained. That the possibility of spherical active carbon used as the electrode materials was also investigated for the convenient preparation of electrode, the specific capacitance of spherical active carbon was 188F/g, having directive function for the preparation from powder SAC to spherical active carbon.

另外，本项目也额外进行了离子液体作为电解液性能的研究，获得了比电容高达310F/g好结果；考虑到电极制作，又研究了活性炭微球作为电极的可能性，得到了比电容为188F/g的结果，为下一步将粉状的超级活性炭制作为球状的活性炭提供了指导与借鉴作用。

In sphere approximate, GPS/Gravity-BVP is Neumann problem over exterior spherical domains. Then the natural boundary reduction, suggested by Feng and Yu, is applied to deal with the three dimensional problems. By expansion in spherical harmonics, the natural integral equations of harmonic problems over exterior spherical domains are obtained. Meanwhile, a numerical method for solving geodetic BVP is developed.

在球近似下将GPS-边值问题转化为Neumann外问题，用自然边界元法进行自然边界归化，得到自然边界积分方程，再求自然边界积分方程的数值解，与其他边界元方法相比，自然边界元法的计算量大大减小，并且具有很好的逼近性质，能有效地处理奇异积分，是求解GPS-边值问题有效方法。

Spherical trigonometry is a part of spherical geometry, mainly in the processing, discovery and interpretation of polygons on the spherical surface contact angle and the edge and relevance.

球面三角学是球面几何学的一部分，主要在处理、发现和解释多边形在球面上的角与边的联系和关联。

Ah specifically, the angle of the sphere and the relationship side of spherical geometry, spherical trigonometry is a part, mainly in the processing, discovery and interpretation of polygons on the spherical surface contact angle and the edge and relevance.

具体一点啊研究球面上的角与边的关系球面三角学是球面几何学的一部分，主要在处理、发现和解释多边形在球面上的角与边的联系和关联。

The undercutting analysis probe the position of undercutting line and the spherical angle of spherical gears. Teeth contact analysis probe the kinematic error and the position of contact point of spherical gears with misalignment and ideal case. Another contact pattern analysis probe the positions and size of contact pattern ofspherical gears.

齿面过切分析主要探讨球形齿轮之齿面过切位置及过切发生的球形角，接触分析则讨论球形齿轮分别在具有装配误差及理想状况时之运动误差及接触点位置，另外，齿印分析探讨球形齿轮在受力变形后其接触椭圆之位置及大小。

Complete Principle of Measurement , as the basic literature of large calendar mathematics series Chongzhenlishu, was the beginning of the Western trigonometry, spherical astronomy and measurement into China, involving area, volume measurement, flat triangle, spherical trigonometry and spherical astronomy's theory as well as measuring instruments'applying. Complete Principle of Measurement embodies Chongzhenlishu's axiomatic mathematics and astronomy and makes a contribution to the further spread of the Western learning.

《测量全义》作为编撰大型历算丛书《崇祯历书》的基础文献，是西方三角学、球面天文学及测量术系统传入我国之始，涉及面积、体积测量，平面三角、球面三角和球面天文学的基本理论以及测量仪器的制造和使用等，是《崇祯历书》中公理化数学和天文学体系的体现，为西学的进一步传播做出了贡献。

In order to calculate the electric field intensities of spherical electrode s in 3-D electrostatic fields precisely,the spherical surface curve triangular BEM which is based on spherical coordinates transformation is put forward.

为了精确计算三维静电场中球形电极表面的电场强度，提出了基于球坐标变换的球面曲边三角形边界元法。

High-precision spherical components have been widely used in precision machinery and aerospace industry, and spherical curvature is one of determinant to the capability of optical components, and the measure of it is an important matter in the optical component manufacture. So the research of the high precision measurement of spherical curvature has important significance.

中文摘要高精度球面元件在精密机械和航天工业中的应用越来越广泛，在光学生产的加工制造过程中也大量需要对具有球面形状的透镜的曲率半径进行高精密测量的情况，因此，球面元件曲率半径的精密测量对高质量球面样板，光学系统的质量控制等方面具有重要的意义。

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。