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					1)  Euclidean vector N_space E n
					 
				 	
					
				欧氏空间En 
			
					2)  Euclid space
					 
				 	
					
				欧氏空间 
				1. 
					Important conclusions of Gram determinants in Euclid space;
					 
						 
					
						Gram行列式在欧氏空间中几个重要结论 
					2. 
					By using the co-ordinate transform between the general base and the orthogonal base of the Euclid space, the current signal is decomposed to a series of orthogonal currents including a broad-sense fundamental current and a harmonic current.
						 
						利用欧氏空间普通基与正交基之间的坐标变换,将电流分解为两两正交的一个广义基波电流和一系列广义谐波电流,在此基础上提出了一种新的功率定义方法,使传统单相电路的功率理论成为本方法的一种特例。 
					3. 
					By the relation transvection,we obtain two necessary and sufficient conditions for the transformation being linear transformation in Euclid spaces,and out of it,we have got some conclusions.
						 
						借助内积关系 ,给出了欧氏空间的变换是线性变换的两个充要条件 ,并由此得到一些相关结论 。 
					
					3)  Euclidean space
					 
				 	
					
				欧氏空间 
				1. 
					On distance between a p-dimensional plane and  a q-dimensional plane in Euclidean space E~n;
						 
						欧氏空间E~n中任意两个平面间的距离 
					2. 
					Curvature and geometric property of submanifolds in Euclidean spaces;
					 
						 
					
						欧氏空间中子流形的曲率与几何性质 
					3. 
					Generalized normal operator and generalized normal matrix  on the general Euclidean space;
						 
						一般欧氏空间上的广义规范算子与广义规范矩阵 
					
					4)  pseudo-Euclidean space
					 
				 	
					
				伪欧氏空间 
				1. 
					The(k+1)-dimensional ruled surfaces in pseudo-Euclidean space are studied.
					 
						 
					
						讨论伪欧氏空间中的直纹面。 
					2. 
					If x:M n→E m ν is an isometric immersion of a pseudo-Riemamian manifold into a pseudo-Euclidean space then the map x~=xx t (t denotes transpose) is called the quadric representation of M n.
						 
						设x :Mn →Emν 是伪黎曼流形到伪欧氏空间的等距浸入,x~= xxt(t 表示转置) 称为Mn 的二次表示。 
					3. 
					In this thesis the ruled surfaces in pseudo-Euclidean space and Euclidean space are studied.
						 
						本文研究伪欧氏空间和欧氏空间中的直纹面。 
					
					5)  semi-Euclidean spaces
					 
				 	
					
				半欧氏空间 
				1. 
					The infinity harmonic maps between semi-Euclidean spaces are discussed.
					 
						 
					
						研究半欧氏空间之间的无穷调和映射,给出半欧氏空间之间的映射是无穷调和映射的方程式及一些构造无穷调和映射的方法,并对半欧氏空间到N il和Sol空间的线性无穷调和映射进行分类。 
					补充资料:欧氏 
		
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