The transformation Φ and general Pythagoras' theorem on the linear manifold
- 22 Downloads
The primary aim of this paper is to describe the transformation function Φω to extend the conclusion of Pythagoras' theorem for “squared length” of any triangle and to study some geometrical significance of its application
KeywordsManifold Vector Space Symplectic Manifold Transformation Function Injective Mapping
Unable to display preview. Download preview PDF.
- Gu An-hai, A discussion on Tan's article “Skew-reflection matrix and the generalization of Householder transformation” and transformation function ϕ,Journal of Northeast Institute of Technology, Shenyang, China, 3 (1983), 15–20. (in Chinese)Google Scholar
- Gruenberg, K.W. and A.J. Weir,Linear Geometry, Springer-Verlag, New York-Heiderberg-Berlin (1977), 2–121.Google Scholar
- 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.Google Scholar