论文标题
在三维欧几里得空间中四面体顶点的$ε$表征
An $ε$ characterization of the vertices of tetrahedra in the three dimensional Euclidean Space
论文作者
论文摘要
We determine a positive real number (weight), which corresponds to a vertex of a tetrahedron and it depends on the three weights which correspond to the other three vertices and an infinitesimal number $ε.$ As a limiting case, for $ε\to 0,$ the quad of the corresponding weights yields a degenerate weighted Fermat-Torricelli tree which coincides with the three neighbouring edges of the tetrahedron and在此顶点相交。
We determine a positive real number (weight), which corresponds to a vertex of a tetrahedron and it depends on the three weights which correspond to the other three vertices and an infinitesimal number $ε.$ As a limiting case, for $ε\to 0,$ the quad of the corresponding weights yields a degenerate weighted Fermat-Torricelli tree which coincides with the three neighbouring edges of the tetrahedron and intersect at this vertex.
