曲线ρ=r+aγ+b∫from n=S_0 to S(βds)的曲率和挠率计算 |
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作者单位: | 湖南科技大学数学与计算科学学院 湖南湘潭411201(刘学泳,肖前军),湖南株洲市中等职业学校 湖南株洲412000(苏丹) |
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摘 要: | 已知曲线Γ:r=r(s)的基本向量为α,β,γ,曲率和挠率分别为κ,τ,研究了由γ,β和r所作出的曲线Γ-:ρ=r+aγ+b ∫ from n=S_0 to S(βds)的曲率-κ和挠率-τ的计算问题.
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关 键 词: | 曲线 曲率 挠率 基本向量 |
Calculation About Curvature and Torsion of Curve ρ=r+aγ+b∫from n=S_0 to S(βds) |
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Authors: | LIU Xue-yong SU Dan XIAO Qian-jun |
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Institution: | LIU Xue-yong1,SU Dan2,XIAO Qian-jun1 |
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Abstract: | Given that basic vectors α,β and γ of curve Γ:r=r(s),there curvature and torsion parting for κ,τ.In this article we studied the computational problem about curvature and torsion of new curve Γ:ρ=r+aγ+b∫from n=S_0 to S(βds). |
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Keywords: | curve curvature torsion basic vector |
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