高维单形Bartos体积公式的推广

Generalization of Barlos′s Volume Formulas for High-dimensional Simplex

中文关键词:  单形  K维顶点角  体积公式  正弦定理  几何不等式

英文关键词:simplex  k-dimensional vertex angle  volume formula  sine theorem  geometric inequality.

中文摘要:

      本文给出单形Ｋ维顶点角的概念，建立单形新的一类体积公式，导出单形Ｋ维顶点角的正弦定理，并获得关于单形Ｋ维顶点角的一个几何不等式．

英文摘要:

      In this paper, the concept of k-dimensional vertex angle of simplex is given, a class of volume formulas of simplex are established, sine theorem of k-dimensional vertex angle is derived and a geometric inequality about k-dimensional vertex angle is obtained.