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n維歐氏空間曲面及其性質(zhì)

時(shí)間:2024-06-16 18:58:10 數(shù)學(xué)畢業(yè)論文 我要投稿
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n維歐氏空間曲面及其性質(zhì)

摘 要


本文通過(guò)對(duì)3維歐氏空間曲面的定義,方程形式及其切平面,法線定義及方程的研究,從而推廣到 維情形,得到 維歐氏空間曲面的切平面和法線的定義及方程的基本求法,并證明了1些推導(dǎo)出來(lái)的定理,進(jìn)而對(duì) 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

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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