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It is based on the discrete model of finite analysis to get curvature ,normal vector, direction and geodesic curve,then to analyze and design the structure.

基于有限元分析的离散模型，将离散微分几何领域的最新成果运用于膜结构设计，求解曲面曲率，法向量，主方向及测地线，进行结构分析设计。

A New Method to Obtain Discrete Cutting Points of Space Curve in Three-Dimensional Laser Cutting.

激光三维切割空间曲线的刀位点离散方法。

Chaikin algorithm is the simplest discrete curve modeling method.In thepaper planar Chaikin algorithm is generalized into sphere,and the practicability ofthe algorithm as well as the continuous differentiable property of the generatingcurve is proved.It is shown that the curve generated by Chaikin algorithm is apiecewise spherical Bezier curve of second kind of order two.Furthermore,generalspherical corner-cutting algorithms are discussed,and it is pointed out that thecurve generated through corner-cutting has"Spherical Variation DiminishingProperty".3Curve interpolation method restricted on a smooth surface based ontransformation.

Chaikin算法是最简单的离散曲线造型方法，文中将Chaikin算法推广到球面，证明了算法的可行性和生成曲线的连续可微性，指出球面Chaikin算法得到的曲线是分段的二次第二类球面Bezier曲线，并给出了用球面Chaikin算法构造球面插值曲线的算法；进一步，文中讨论了一般的球面割角算法，指出由球面割角算法得到的曲线具有"球面变差缩减性质"。3基于变换的约束在光滑曲面上的曲线插值方法。

Cutaneous findings in leukemia cutis range from discrete, firm, violaceous nodules to pigmented macules or ulcerative lesions.

皮肤白血病的皮肤表现包括散在、坚硬、紫罗兰色的结节，色斑或者溃疡。

ECC system makes use of the finite group of elliptic curve on the finite field instead of finite cyclic group used in the discrete logarithm problem. The theory of ECC is being studied a lot and it is the focus of the cryptography and the industrial estate, especially the technique of the implementation of ECC.In this thesis, the meaning of the information technology is discussed firstly, then we analyze the classical cryptography algoritham. After that, the mathematics base of elliptic curve cryptosytems are introduced, especially the theory of the finite field. As for some algorithms, we also give out the program of reliazation.

随后，介绍了研究椭圆曲线密码系统所需要的数学理论基础，特别是有限域中的椭圆曲线理论，并对相关的方法给出相应的实例及其程序实现；论文第三章讨论给出了椭圆曲线密码体制的研究现状，综述了椭圆曲线与现有一些密码算法的结合，介绍了椭圆曲线的离散对数问题以及椭圆曲线面临的攻击，详细描述了椭圆曲线密码系统的实现细节及各个部分的实验数据。

Based on the discrete logarithm problem on cyclic group Z and the intractability of reversing a one-way Hash function, an improved scheme is proposed which can satisfy alt the desired security requirements, by using a provably secure shortened signature scheme.

基于循环群Z上离散时数困难问题以及单向Hash函数的不可逆性，利用可证安全的短签名方案，设计了一个新的能弥补H-C方案安全隐患的认证加密方案。

These nanowires appear to form mostly discrete, helical multishell structures of specific "magic" sizes and shapes, and each tube consists of a triangular sheet folded cylindrically onto itself.

这些纳米线大都为离散的、特定幻数尺寸下的螺旋多壳结构，每个管由三角网格自相叠加而成。

The train is treated as multi-body system, and its dynamic equations are derived using the D\'Alembert principle. The rail structure is modeled as discrete-supported three-layer system considering the degrees of rail, sleeper and ballast.

车辆为多刚体系统，采用D'Alembert原理建立其动力方程；轨道结构采用考虑钢轨、轨枕、道碴自由度的三层点支承模型；采用有限元法建立桥梁动力分析模型。

An initial surface is determinated firstly, which is used as the datum plane to parameterize the discrete boundary points, and then an object function is established by the control points of B-spline surface.

它在车身造型，飞机制造和其他工业产品的设计中都有广泛的应用，如构建工业设计用的由复杂边界构成的曲面或是填补型心和型腔造型的零件中的孔洞等。

Since the decimation of discrete time signals is similar to the sampling of continuous signals, it is also studied in the thesis.

鉴于对离散信号的抽取和对连续信号的采样非常相似，本文还把研究范围拓展到了对离散信号的抽取问题。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。