n維歐氏空間曲面及其性質(zhì)

摘 要

本文通過(guò)對3維歐氏空間曲面的定義，方程形式及其切平面，法線(xiàn)定義及方程的研究，從而推廣到 維情形，得到 維歐氏空間曲面的切平面和法線(xiàn)的定義及方程的基本求法，并證明了1些推導出來(lái)的定理，進(jìn)而對 維歐氏空間曲面及其性質(zhì)進(jìn)行了初步地研究.
關(guān)鍵詞   維歐氏空間  曲面 切平面 法線(xiàn)

A Surface and character in N-D Eucilidean spaces

 

ABSTRACT

By the research of the definition ,equation form ,tangent plane and the definition and equation of the normal  of the surface in 3-D Eucilidean,that of the surface in N-D Eucilidean is found..After much work ,the basis solutions of that of the surface in N-D Eucilidean are attained.whenwhile some deduced results in this paper are proved,the characters and properties of the surface in N-D Eucilidean are studied initially.

Keywords: N-D Eucilidean spaces  surface  tangent plane normal.

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