perimeter function 中文意思是什麼
perimeter function
解釋
周長函數-
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，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線 -
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
本文主要由兩個部分組成，第一部分涉及曲線的一些不等式以及minkowski支撐函數的一個應用；第二部分討論歐氏平面上閉凸曲線的保長度流和曲面上曲線縮短流的一個應用。
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