| 哈密顿原理与费马—斯坦勒尔问题的变型 |
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| 引用本文： | 党兴菊,张瑶,傅在琦.哈密顿原理与费马—斯坦勒尔问题的变型[J].佳木斯大学学报,2010,28(1):126-128. |
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| 作者姓名： | 党兴菊 张瑶 傅在琦 |
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| 作者单位： | 昭通师范高等专科学校物理系,云南昭通657000 |
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| 摘 要： | 提出变型后的费马—斯坦勒尔问题,即在平面上找一点,使它到该平面上给定两点和一直线的距离的加权和最小.应用哈密顿原理,用物理学方法解决了这一问题,显示出用物理学方法解决数学问题的优越性.
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| 关 键 词： | 哈密顿原理 费马-斯坦勒尔问题 变型 |
The Hamilton's Principle And Transformed Fermat-Steiner Problem |
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| DANG Xing-ju,ZHANG Yao,FU Zai-qi.The Hamilton's Principle And Transformed Fermat-Steiner Problem[J].Journal of Jiamusi University(Natural Science Edition),2010,28(1):126-128. |
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| Authors: | DANG Xing-ju ZHANG Yao FU Zai-qi |
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| Institution: | Department of Physics;Zhaotong Teacher's College;Zhaotong 657000;China |
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| Abstract: | The transformed Fermat-Steiner problem was discussed and resolved by physical method according to Hamiltonian theory,which is how to search a point that the distances' weighted sum is minimum in a plane.The distances are two distances between the point and two given points in the plane and the distance between the point and a given straight line in the plane. |
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| Keywords: | Hamilton's Principle Fermat-Steiner problem transformation |
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