hausdorff metric 中文意思是什麼
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Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. and as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the hausdorff metric
本文證明在這種新的曲線流之下，閉凸曲線周長保持不變、所圍區域的面積不斷增大而曲率保持恆正（從而保持凸性） ，並且，隨著時間的推移曲線變得越來越圓，最終當時間t趨向于無窮大時，曲線在hausdorff度量意義下收斂到一個圓周。
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