曲率の定義と曲線論の基本定理の拡張について
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概要
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The purpose of this paper is to extend the fundamental theorem of the theory of curves. In defining the curvature and the torsion of curves in n-dimensional space, we use the frame that is defined by multiple derivatives of the curves. It is selected to be right-handed, which makes the surrounding space be oriented. On the other hand, in the theory of curves we have developed the use of only what is inherent in curves. This tendency can revise the definition of the curvature and the torsion of curves, and causes some changes in the theory of curves, particularly in the fundamental theorem of the theory of curves.
- 函館工業高等専門学校の論文
- 2004-00-00