hyperbolic plane 中文意思是什麼
hyperbolic plane
解釋
雙曲平面- hyperbolic : adj. 【數學】雙曲線的。adv. -ically adj. 誇張法的。
- plane : n 懸鈴木屬樹木。n 1 平面，水平面，面。2 （知識等的）發達程度，水平，階段。3 【航空】機翼面；〈常 ...
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Indeed, the reader who is slightly familiar with tessellations of the sphere, the eaclidean plane and the hyperbolic plane, can easily prove the following result.
事實上，稍微熟悉球面、歐幾里得平面和雙曲平面的分格的讀者，都能容易地證明出下面的結果。 -
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
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