He bears a broad scar across the left side of his chest , a vicious magical burn with an asymmetrical border of conjoined convex curves , like a child ' s depiction of a cloud 他左胸口有道又宽又深的伤口,是咒语烧伤的,伤疤坑坑洼洼起伏不平的,就好像小孩画的云片似的形状。
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 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。
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 ) 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
Proceed from the angle of enhancing the backing off grinding accuracy of the special shaped convex curved rake surface , and in accordance with the enveloping theory of differential geometry and the designing model of new configured carbide gear shaper cutters , the mathematical model for backing - off and grinding the special shaped convex curved rake surface of the new configured gear shaper cutters was derived 从提高新构形硬质合金插齿刀异形凸曲前刀面铲磨精度的角度出发,根据微分几何的包络理论及新构形硬质合金插齿刀设计模型,推导出铲磨新构形插齿刀异形凸曲前刀面的数学模型。
This report is composed of two main parts , one concerns some geometric inequalities about curves and an application of the minkowski ' s support function , the other deals with the perimeter - preserving flow of closed convex curves in the plane and an application of the curve shortening flow on surfaces 本文主要由两个部分组成,第一部分涉及曲线的一些不等式以及minkowski支撑函数的一个应用;第二部分讨论欧氏平面上闭凸曲线的保长度流和曲面上曲线缩短流的一个应用。
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 minkowski ' s 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 . ) in the second part , we will first follow the ideas of gage - hamilton [ 28 ] , gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane , which is from physical phenomena 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
百科解释
In mathematics, a convex curve is the boundary of a convex set.