閉凸曲面 的英文怎麼說

中文拼音 [bìtūqūmiàn]
閉凸曲面 英文
closed convex surface
  • 閉 : Ⅰ動詞1. （關; 合） close; shut 2. （堵塞不通） block up; obstruct; stop up Ⅱ名詞（姓氏） a surname
  • 凸 : Ⅰ動詞（高出） bulge; protrude Ⅱ形容詞（高於周圍） protruding; raised
  • 曲 : 曲名詞1 （一種韻文形式） qu a type of verse for singing which emerged in the southern song and ji...
  • 面 : Ⅰ名詞1 （頭的前部; 臉） face 2 （物體的表面） surface; top 3 （外露的一層或正面） outside; the ri...
  1. Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. and as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the hausdorff metric

    本文證明在這種新的曲線流之下，閉凸曲線周長保持不變、所圍區域的面積不斷增大而曲率保持恆正（從而保持凸性） ，並且，隨著時間的推移曲線變得越來越圓，最終當時間t趨向于無窮大時，曲線在hausdorff度量意義下收斂到一個圓周。
  2. Closed convex surface

    閉凸曲面
  3. First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time

    首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。
  4. Grpcs provides a unified framework for parametric curve and surface. it does not only inherit a lot of good properties from nurbs such as locality, convex hull, affine and perspective invariance etc., but also has the ability to directly represent trimmed surfaces and closed surfaces

    廣義有理參數曲線曲面在表示形式和計算方法上具有高度的統一性，它不僅繼承了nurbs的很多優良性質，比如局部控制性、凸包性、仿射和投影不變性等，而且可以直接表示裁剪曲面和閉合的曲線曲面。
  5. 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 ）給出獨立的存在性證明，並且還對平面閉凸曲線的bi - enclosing環的寬度給出了一個估計。
  6. 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。
  7. 3. when = 0, we give the curve of the multiple orbit bifurcation in the parameter plane (, l ). and we prove that the bifurcation of multiple loop is a double orbit bifurcation and the curve is convex

    3 、當= 0時，在參數平面上（ ， l ）給出重閉軌分支曲線並證明該重閉軌分支為二重閉軌分支，且該分支曲線是上凸的。
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