线性流型上的变换函数Φ及广义的勾股定理
The Transformation and General Pythagoras’ Theorem on the Linear Manifold
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摘要: 本文目的在于论述变换函数中φ[1],外延勾股定理用于运算任意三角形边的平方长并研究其几何特征的实际应用问题.Abstract: The primary aim of this paper is to describe the transformation function Φ[1]. to extend the conclusion of Pythagoras' theorem for "squared length" of any triangle and to study some geometrical significance of its application
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[1] 谷安海,关于“斜映射矩阵和Housoholder变换的推广”兼论变换函数Φ—与谭领同志商榷,东北工学院学报,3(1,53),15-20. [2] 谷安海,变换函数Φ及KUR空间存在固定点的条件,应用数学和力学,7,3(1986),273-277 [3] Gruenberg,K.W.and A.J.Weir,Lihear Geometry,Springer-Verlag,New York-Heiderberg-Berlin (1977),2-12. [4] 谷安海,结构的延拓及三斜结构系统的代数弹性运动的数学性质,应用数学和力学,8,10(1987),931-942. [5] Deif,Assem S.,Advanced Matrix Theory for Scientists and Engineers,Abcus Press,Tubridge Wells and London,Halsted Press Division,John Wiley and Sons,New York and Toronto(1982),158. -
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