三维单形底形状有解充分条件

THE SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF A SIMPLEX IN R3 WITH ITS BOTTOM SHAPE

本文讨论文献［１］提到的一个问题，运用亚正定矩阵理论。

In this paper,we condider the relationship of three surface angles α1,α2,α3 starting from some vertex of a simplex in R3 with its Bottom Shape,we have proved whenA=1-cosα1001-cosα2-cosα301is positive subolefinite matrix,its bottom shape can be arbitrary triangle.