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单词 MeanCurvatureplaneCurve
释义

mean curvature (plane curve)


Let Γ be a piecewise C1 planar curve.

The total curvatureMathworldPlanetmathPlanetmath, κtotal , of Γ is defined to be Γ|κ(s)|𝑑s where Γ is parameterized by arclength sand κ(s) is the curvatureMathworldPlanetmathPlanetmath (http://planetmath.org/CurvatureOfACurve)of Γ.

The mean curvatureMathworldPlanetmathPlanetmath of Γ is defined to be the ratio of the total curvature to the length of Γ :

M(Γ)=κtotal(Γ)L(Γ)
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更新时间:2025/5/4 6:34:06