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Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次,对双曲平面上的曲线引入平均测地曲率的概念,并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系,其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比;最后,我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线,其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线?

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. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature.

其次,对双曲平面上的曲线引入平均测地曲率的概念,并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系,其目的是为了将双曲平(来源:ABC论84文网www.abclunwen.com)面上曲线的性质与欧氏平面中曲线的性质作一些对比;最后,我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线,其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线?

The first one is to generate the circle for each borderline segment of the component by considering the segment length and the prescribed tolerance value. If this is not the case, the borderline segment will be equally divided into halves until the obtained circle satisfies the tolerance value over the whole borderlines of the component. The basic idea of the last two algorithms aims at covering the domain occupied by the component as much as possible. The circle generation is carried out sequentially from salient angle to the sector formed by the salient angle till the uncovered borderline segments of the component. Particularly, the three-step algorithm with gap allows that the generated circles are distributed with gap along the component contour.

二分法利用组件各边长度和设置的容差大小得到该边的候选包络圆,若该圆不满足组件所有边的容差要求,则将该边不断地对分,直至所得到的包络圆满足各边的容差要求;三步划分法和带间隙的改进三步划分法则以组件区域为划分对象,依次对组件多边形凸顶角、凸扇形区和多边形各边剩余线段划分包络圆,且带间隙的改进三步划分法则允许包络圆在组件边界上以适当的间隙分布。

A large cloister-garden was developed behind the apse of the basilica and served to join the Martyrium with the Anastasis.

在这件建筑物圆凸部分的后面,有做隐蔽的大花园,接通殉道大殿和复活大殿,这有三根柱廊的露天花园,并以西南角隅旁边露出的髑髅地岩石做屏风。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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