将直线拟合到平面上的点

摘要：

我们寻找到平面上许多点的最短距离的直线。直线和一组点之间的距离由从单个点到直线的垂直或正交距离的向量的L^p范数1 \leq p \leq \infty定义。最优直线的已知性质是由初等的考虑推导出来的，并且对于不同的选择使用统一的语言来表示，以定义从直线到一组点的距离。

英文摘要：

We seek for lines of minimal distance to finitely many points in the plane. The distance between a line and a set of points is defined by the L^p-norm, 1\leq p\leq \infty, of the vector of vertical or orthogonal distances from the single points to the line. The known properties of optimal lines are deduced by elementary considerations and represented using a uniform language for the different choices to define the distance from a line to a set of points.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。