Gu An-hai. The Transformation and General Pythagoras’ Theorem on the Linear Manifold[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1134-1134.
Citation: Gu An-hai. The Transformation and General Pythagoras’ Theorem on the Linear Manifold[J]. Applied Mathematics and Mechanics, 1987, 8(12): 1134-1134.

The Transformation and General Pythagoras’ Theorem on the Linear Manifold

  • Received Date: 1987-08-10
  • Publish Date: 1987-12-15
  • 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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