曲线

At the chapters of theory analysis,constitutive equation of dusty is deduced from the results of the experiment and related theories about oblique shock wave.after that relationship of parameters reflecting flow-field characteristic are deduced from theories of shock wave polar .The paper set up conservation equations depicting gas and solid flow-field by double fluid model,thus equations and constitutive equation of granular phase form closed equations.then the paper uses AUSNT vector splitting method to numerically calculate the equations.

理论部分主要包括：利用实验测试结果以及斜激波理论测试出该堆积粉尘的本构方程，然后利用和激波极曲线理论得到反映流场特征参数的变化曲线；本文还利用双流体模型，建立了描述气—固两相流动的守恒型方程组，与本构方程一起构成封闭方程组。

Firstly, it gives definitions of "polis" and "mart", which are two aspects of urbani

首先对构成城市化经济的两个方面"城"的概念和"市"的概念作了专门的界定，然后在分析人们对城的行为特征的基础上导出了城需求函数和城供给函数，进而推出了"城，，均衡曲线U；在分析人们对市的行为特征的基础上导出了市需求函数和市供给函数，进而推出了"市均衡曲线Y。

The unload-reloading curves of the hysteretic models also based on a three stage polygonal line and a two stage polygonal line.

恢复力模型的骨架曲线均为带软化阶段的三线性折线模型，卸载—再加载曲线分别采用三折线模型和双折线模型。

The hysteretic models consisted of a skeleton curves which based on the concept of three stage polygonal line with soften region and some hysteretic rules.

恢复力模型的骨架曲线均为带软化阶段的三线性折线模型，卸载—再加载曲线分别采用三折线模型和双折线模型。

To overcome this limitation, the paper proposes the degree of grey periodic incidence judged by slope, according to the winding situations of two curves, and judging wave period of the curve by calculating the slope of every polygonal line.

针对这一缺陷，作者根据两条曲线的曲折情况，通过计算各折线的斜率判断曲线的波动周期，提出基于斜率判断的灰色周期关联度。

With the analysis of the principal curves,the extended polygonal line algorithm and the specialties of fingerprint,the original extended polygonal line algorithm is improved a lot,and becomes much more suitable for the extraction of the skeletonization of fingerprint.

在分析主曲线、推广多边形算法和指纹数据的特点后，尝试使用主曲线来描述指纹特征，对原推广多边形算法作了较大改进，使其更适用于指纹骨架的提取，最后实现了基于骨架的指纹特征提取。

The study establishes the compression of models and algorithms for vector graphics data on different basis, including on the basis of vector graphic factors of B spline curves in predecessors research; on the basis of rectangle graphic factors in main axis mode; on the basis of the application of Hough transform to polygonal line, ellipse and circle, so the study improves the models and algorithms of compression for vector graphic data.The compression for vector graphic data mainly studies the data of storing graphic factors.

本文研究的内容是：根据对以往各种曲线矢量数据压缩模型与算法的研究，建立了基于B样条的曲线矢量图形要素的数据压缩模型和算法；在前人研究的基础上，建立基于主轴模式的矩形图形要素的数据压缩模型和算法；本文作者将Hough变换应用到折线、圆及椭圆图形要素的矢量数据压缩上，在此基础上改进了基于Hough变换的折线、圆及椭圆图形要素的数据压缩模型和算法。

Thirdly, the principal curve and polygonal line algorithm are introduced, and an implementation of polygonal line algorithm based on Quasi-Newton numerical optimization is illustrated. The simulation results show that when this algorithm isused in the detection of curvilinear defects on wafer map, it can converge fast, compute accurately and meet the demand of application of defects pattern analysis, and with the number of line segment increasing, the polygonal line will approximate to the Kegl principal curve.

研究了主曲线、多边形线算法，提出用多边形算法识别弧状缺陷想法，讨论了用拟牛顿法实现该算法的解决方案，针对硅片缺点模式分析中常出现的弧状缺陷，采用该算法进行检测分析，实验结果表明这种算法快速准确，当线段个数或最小距离平方期望值达到一定门限值后，多边形线就已经能够描述弧状缺点集的形状，随着线段个数增加，最小距离平方期望值还在不断下降，最终会收敛到Kegl主曲线。

If you need to draw a different type of curve, you can draw it as a polyline, which is a series of very short lines that define a curve.

如果你需要绘制不同类型的曲线，那么你可以把它绘制为折线，它是一系列非常短的定义曲线的线。

In this paper, we survey the development of polynomial approximation of rational curves and state the knowledge of interval curves in the first chapter.

本论文中，第一章首先介绍了有理曲线曲面的多项式逼近研究工作的发展情况和区间曲线曲面一些相关知识。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。