簡單閉曲線 的英文怎麼說
中文拼音 [jiǎndānbìqūxiàn]
簡單閉曲線
英文
simple closed curve- 簡 : Ⅰ形容詞(簡單) simple; simplified; brief Ⅱ動詞1 (使簡單; 簡化) simplify 2 [書面語] (選擇人才...
- 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
- 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...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 簡單 : 1 (不復雜) simple; uncomplicated; plain; simplicity 2 (平凡 多用否定式) commonplace; ordinary...
- 曲線 : [數學] curve; bight; bought; profile; net曲線板 french curve; irregular curve; curve board; splin...
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In the third chapter, we introduce geometric expansion of convex planar curves. we discuss the evolution equation using minkowski ' s support function with the speed function of curvature and show that the shapes of curves become round asymptotically when the initial closed curves is smooth and convex
限制曲線在外法向上的演化速度是另一類特殊的曲率函數,研究相應的方程,我們得到了在初始為凸的閉簡單光滑曲線的條件下,曲線的最後形狀是漸近地趨於一個圓。About spans of planar simple closed curves
關于平面簡單閉曲線的跨度Simple closed curve
簡單閉曲線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。分享友人