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Hence the study of geometric properties, which include the distribution of singular and inflection points and the convexity of parametric curves, is the key for designer to control the curves shape.

在计算机辅助几何设计的光顺曲线造型中，不希望曲线带有二重结点、尖点及多余拐点，因此对参数曲线的几何性质(包括奇、拐点分布及凸性等)的研究是控制其曲线形状的关键。

The IR spectra indicated that the functional group—COO〓 in PASP linked to the surface of carbon steel. The pitting corrosion inhibition of tungstate and BTA on carbon steel and the passivation of carbon steel in solutions containing sodium borate were studied by the measurement of polarization curves and the curves of current vs.

失重法研究钨酸钠与聚天冬氨酸对碳钢的协同缓蚀效应发现，钨酸钠与PASP对自来水中的碳钢有协同缓蚀作用，加入锌离子可产生进一步的协同作用，碳钢表面分析表明：聚天冬氨酸是以羧基在碳钢表面成键。

In this paper a framework is built for differential quantity calculation on spatial curves of point cloud and a new matching method for given point curves is proposed.

建立了点云几何分析的相关理论框架，即定义和计算点云潜在曲线的几何微分量，包括Frenet标架、曲率、挠率等；在此基础上提出一种新的点云空间曲线匹配方法。

The main content of this thesis is as follows: 1The structures of EPS are analyzed. The main components of EPS are introduced in detail. Then the distributed torque in EPS is analyzed and the control system model is set up. 2Three control modes are discussed and the control strategy of EPS is studied in detail. Three principal modules in the control strategy are discussed—the predicted module which predicts motor rotational speed and steering rotational speed, the power-assistant module and the return control module. 3The assistant torque curves of the motor are designed by using the B-spline, so that any kind of custom-built assistant torque curves can be designed according to different kinds of automobiles. 4The hardware frame of EPS is studied. The developed controller based on 8-bit MCU MC68HC908MR8 is introduced and many related circuit units are designed, including the control circuit, the driver control circuit and so on. The software structure is discussed, then the steering control program flowchart is given.

本文的主要工作有： 1分析了EPS 的总体构成，对EPS 的各个部件作了详细的介绍，并在此基础上分析了EPS 的受力情况，建立了控制系统模型，并研究了EPS 的安全性能； 2讨论了EPS 的三种控制方式，提出了控制策略，并讨论了其中三个关键模块的作用：预估模块包括对电机转速和方向盘角速度的预估，助力控制模块以及回正模块； 3用B 样条插值方法进行EPS 助力曲线的设计，可按照用户的要求设计任意形状的助力曲线，以满足不同车型和不同用户的要求； 4研究了控制系统的硬件结构，以MC68HC908MR8 为核心设计了控制器，详细讨论了控制器的控制电路、驱动电路等；设计了控制系统的软件，给出了控制程序流程图，并对要点进行了详细的说明。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

Correlation of submaxillas curve has been test, and experiments show that curves of submaxilla from the same person are correlated, while the curves of submaxilla from different persons are uncorrelated. 4. The feature of skull contour has been extracted by using polar -radius-invariant-moment, Fourier descriptors and wavelet descriptors separately.

4：将极半径不变矩、傅立叶描述子、小波描述子作为提取颅骨轮廓和眼眶轮廓信息的主要手段，并且构造了应用于眼眶边界的相对量作为特征量。

The effect of flow rates, initial concentrations, resin bed heights, its height/ diameter ratios and temperature on breakthrough curves of sulfuric acid/2-naphthalenesulphonic acid, 2-naphthalenesulphonic acid/sulfurous acid and sulfuric acid/ 2-naphthalenesulphonic acid/sulfurous acid systems was investigated. Excellent agreement was obtained between experimental data and the suggested breakthrough data model, with which the breakthrough curves can be accurately predicted for multi-component adsorptive separation in resin bed, the experiment of adsorptive separation may be scaled up, and the plant may be designed.

考察了流速，初始浓度，床层高度，床层高径比，温度等因素对硫酸-2-萘磺酸，2-萘磺酸-亚硫酸和硫酸-2-萘磺酸-亚硫酸等混合体系穿透曲线的影响，所建立的穿透曲线模型与实验结果拟合较好，模型可较准确预测多组分吸附分离的穿透曲线，可用于指导吸附分离实验的放大以及装置的设计。

For example, Donagi and Witten found that the spectral curves of these integrable many body systens are identified with the Seiberg-Witten curves of the Seiberg-Witten theory. More recently, Dijkgraaf and Vafa found the information about the superpotentials of the chiral fields in some N = 1 SUSY gauge theories from the planar diagram of certain matrix integral.

例如，Donagi和Witten等人发现可积系统的谱曲线和Seiberg-Witten理论中的Seiberg-Witten曲线相互等价，Dijkgraaf和Vafa等人从正则矩阵积分的平面图中找到了N=1的超对称规范理论中手征场的超势的一些信息，同时N。

In this paper,the rational approximation of the offset curve of Bézier curves is obtained when a polynomial of symmetric power basis is used to approximate the norm of parametric speed of Bézier curves.

等距曲线逼近技术的关键在于参数速度的逼近，文章用S幂基多项式逼近平面Bézier多项式曲线的参数速度模长，得到Bézier多项式曲线的等距曲线的有理逼近曲线，所得有理多项式逼近曲线与等距曲线在端点处能够达到高阶插值。

The properties of the basis functions, such as the weighting property, positivity, symmetry and endpoints' properties,are similar with those of the n degree Bernstein basis functions,and the generated curves are similar with the n degree Bézier curves.

基函数的权性、非负性、对称性、端点性质等均与n次Bernstein基函数类似；生成曲线也具有与n次Bézier曲线类似的几何性质。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐