| 平面上端点受约束的一种随机点配线 |
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| 引用本文： | 张新育,李展,周世国.平面上端点受约束的一种随机点配线[J].数学的实践与认识,2011,41(4). |
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| 作者姓名： | 张新育 李展 周世国 |
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| 作者单位： | 郑州大学,数学系,河南,郑州,450001 |
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| 基金项目： | 国家自然科学基金(10171010) |
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| 摘 要： | 对于平面上有限个随机点,推导了配一条端点受直线段约束的直线的最优选址的公式算法.其中目标函数是加权距离平方和的数学期望.
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| 关 键 词： | 平面随机点 配直线 选址问题 |
Problem on Fitting a Line with Ends Restrained by Known Segments According to Plane Stochastic Points and Its Formula Algorithm |
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| ZHANG Xin-yu,LI Zhan,ZHOU Shi-guo.Problem on Fitting a Line with Ends Restrained by Known Segments According to Plane Stochastic Points and Its Formula Algorithm[J].Mathematics in Practice and Theory,2011,41(4). |
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| Authors: | ZHANG Xin-yu LI Zhan ZHOU Shi-guo |
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| Institution: | ZHANG Xin-yu,LI Zhan,ZHOU Shi-guo (Department of Mathematics,Zhengzhou University,Zhengzhou,450001,China) |
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| Abstract: | According to n(n≥1)) stochastic points in a same plane,we present in this paper a formula algorithm to fit a suitable line with its ends restrained by two known segments. Our objective function is the expectation of weighted square sum of distances. |
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| Keywords: | stochastic points in a plane fitting a line end restrained by segments formula algorithm |
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