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1)  Closed Hyperplane
闭超平面
2)  closed hypersurface
闭超曲面
1.
In this paper,we studied the closed hypersurface with non zero const ant mean curvature in a unit sphere,and found the hypersurface is a small sphere of Hr-torus under certain condition of the square of the length of the second foundamental form and the mean curvature.
研究了单位球空间中平均曲率为非零常数的闭超曲面,得到在超曲面的第二基本形 式长度平方与其平均曲率满足一定的条件下,超曲面为小球面或Hr──环面。
3)  closed half plane
闭半平面
4)  plane closed folding
平面闭折线
1.
Promoted an area question by using of the oriented area concept of plane closed folding and the determinant nature.
利用平面闭折线有向面积的概念和行列式的性质推广了一个面积问题。
2.
In this paper,one theorem of directed areas for plane closed folding is given,some known results of Napoleon triangles are promote
本文给出平面闭折线有向面积的一个定理及其若干推论。
3.
This paper studies the area of plane closed folding by complex number method and proves several propositions about area of plane closed folding.
运用复数方法,推导、证明了关于平面闭折线面积的几个定理。
5)  closed curve in plane
平面闭曲线
1.
The completely equal curvature of ellipse torus on closed curve in plane;
平面闭曲线上扁形椭圆环面的全平均曲率——Willmore猜想的一个例证
6)  plane closed folding line
平面闭折线
1.
This paper studies the features of No 1 center in plane closed folding line and gets some new conclusions.
研究了平面闭折线"1号心"有关性质,得到了几个新的结论。
2.
Based on Paper 1,the paper makes furth study on the features of No k centre in plane closed folding line and gets some new conclusions.
本文在文[1]的基础上,对平面闭折线的k号心的性质作了作一步探讨,得到了几个新结论。
补充资料:超平面


超平面
hyperpbne

超平面〔hyP阂肉毗;r.ePooc肋cT‘],域K上的向量空间X中的 具有一维商空间XZM的一个向量子空间M(在平移之下)的象,即形如x。十M的集合,这里x。任X是某一个向量.如果x。~0,有时就称这个超平面为齐次的.子集7rCX是一个超平面,当且仅当 兀={ x:f(x)=时,(‘)咔K,介X’是一个非零线性泛函.这里f和“除开一个共同的因子口砖0外,是由M确定的. 在拓扑向量空间里,任意一个超平面或者是闭的,或者是到处稠密的;作为由公式(*)所定义的7r是闭的充分必要条件为泛函f是连续的. M.H.Bohaexo8C.成撰郝车丙新译
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