| 关于光滑曲线的再定义 |
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| 引用本文： | 周贤祥,何崇炎.关于光滑曲线的再定义[J].西南交通大学学报,1993(2):70-73. |
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| 作者姓名： | 周贤祥 何崇炎 |
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| 作者单位： | 西南交通大学应用数学系，西南交通大学应用数学系，西南交通大学应用数学系 |
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| 摘 要： | 本文经过深入讨论、比较,给出了光滑曲线的定义,这一定义在一定程度上克服了一些常用定义的缺陷,弥补其不足,并给出对一般情况的证明,详细地分析了曲线的奇异点,同时文中还给出了光滑曲面的定义。
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| 关 键 词： | 光滑曲线 奇异点 突变点 光滑曲面 |
On the Definition of Smooth Curves |
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| Zhou Xianxiang,He Chongyan,Huang Shenqing Dept. of Appl. Mathematics.On the Definition of Smooth Curves[J].Journal of Southwest Jiaotong University,1993(2):70-73. |
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| Authors: | Zhou Xianxiang He Chongyan Huang Shenqing Dept of Appl Mathematics |
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| Institution: | Zhou Xianxiang;He Chongyan;Huang Shenqing Dept. of Appl. Mathematics |
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| Abstract: | After analyzing the defects of the traditional definitions of the smoothnessof curves, a new definition is proposed. The effect arisen from differentparametrization of a curve is investigated as well. In like manner, adefinition of smooth curved surface is also proposed. |
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| Keywords: | smooth curve cingular point catastrophe point salient point smooth curved surface |
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