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And then, by regarding the curve and surface as a map from differential manifold to topological manifold, we present the framework of GRPCS and discussed its basic properties in detail. GRPCS provides a unified framework for parametric curve and surface.

然后通过势函数来构造微分流形上的单位分解，将曲线曲面看作微分流形到拓扑流形的映射，给出了广义有理参数曲线曲面的整体理论框架，并对广义有理参数曲线曲面的基本性质进行了讨论。

The following central point within a small local region of current tracing point can be obtained based on the influence of neighboring points as well as the smoothness and fairness principle. Finally, a sequential of central points can be traced out efficiently without any iteration and a parametric curve can be reconstructed by interpolating the central points.

该方法仅从当前跟踪点的邻近点集与曲线重建光顺准则出发，无须迭代，可快速、有效地跟踪得到无序点集的一个中轴点列，最后再由此点列拟合出参数曲线。

This work presents the parametric equations of acceleration poles and the polynomial equations for the loci of acceleration poles of the couplers of two planar linkages. Moreover, the design procedures for synthesizing the mechanisms with a coupler point tracing through two acceleration poles are proposed.

本论文之目的，在於推导两型平面连杆机构耦杆的加速度极心位置之参数式，及其轨迹之多项式方程式，并且分别提出设计程序，藉以合成耦杆点通过两个加速度极心之机构。

For a given mechanism, the coupler points passing through two acceleration poles are the double points on the loci of acceleration poles described on the coupler plane. Furthermore, the two mechanisms with a coupler point tracing through two acceleration poles are synthesized by utilizing the derived parametric equations.

接著，利用耦杆平面之加速度极心轨迹的交点，作为机构中可通过两个加速度极心的耦杆点，并且配合已推导出来之参数式，合成通过两个加速度极心的机构。

Parametric transversality and some applications.

Sard定理，参数横截性及应用。

Based on the review of progress in parametric uncertainty nonlinear system control theory, it is noticed that design methods based on feedback linearization are the main parts and the author proposes a robust controller design method for a nonlinear parametrization uncertain system satisfying feedback linearization and triangularity conditions,and a robust output tracking controller for a nonlinear parametrization uncertain system based on the identification of uncertain parameters.

在对该领域研究进展分析的基础上，针对满足三角形条件和反馈线性化条件的非线性参数化不确定系统提出了一种鲁棒控制器设计方法，并针对非线性参数化不确定系统提出了基于参数识别的鲁棒输出跟踪器的设计方法。后者是本文为飞机防滑刹车系统设计输出跟踪器的理论基础，同时也是本文的创新点之一。在对结合力产生本质讨论的基础上，分析了滑水现象产生的原因和预防措施。

In order to make up the deficiency of ordinary trigonometric polynomial curves in aspect of shape adjustment, then in view of polynomial spline cannot represent some transcendental curves, a new kind of parametric trigonometric polynomial spline with a shape parameter is constructed by linear singular blending technique.

为了弥补普通三角多项式样条曲线在形状调整方面的不足，同时又考虑到多项式样条曲线不能精确表示一些超越曲线，我们利用奇异混合的思想构造了一种新的带有形状控制参数的三角多项式样条曲线。

Interpolating trigonometric polynomial parametric curves with C~2 (or G~1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then, the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter.

在无需反求方程组、迭代计算和最值求解的前提下，即可产生插值给定点列的C~2或G~1连续的一族三角多项式样条曲线；进一步研究了该类曲线的保凸性，得到插值曲线保凸时形状参数的取值范围。

This system can complete quickly,the realtime parametric design of turbojet,turbofan,turboprop and turboshaft engine and its parts.During designing the required information,data and structural graphics can be inquired interactively from Aeroengine Information Database and Structure Database.

该系统可以实现对涡喷、涡扇、涡轴和涡桨航空发动机部件图和总图的参数化实时设计，在参数化设计过程中提供发动机信息数据库、结构数据库的交互式查询，为设计提供所需的信息、数据和结构图形支持，可达到快速地生成供方案论证应用的各种航空发动机部件图、总图及各种信息，能快速实现多方案对比设计。

The data was statistically analyzed with SPSS11.0 software package for a parametric one - way analysis of variance and two -sample t test.

采用SPSS11.0软件包对实验数据进行单因素方差分析及两样本t检验。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。