n维单形的Erd“非汉字符号”-Mordell型不等式  

THE ERD“非汉字符号”-MORDELL INEQUALITIES IN A n-DIMENSION SIMPLEX

作　　者：马统一 徐兆强 

机构地区：[1]张掖师范高等专科学校数学系,张掖734000

出　　处：《数学杂志》2001年第4期451-456,共6页Journal of Mathematics

摘　　要：本文利用距离几何的理论和方法证明了 En( n≥ 2 )中 n维单形几内任一点到 n- 1维界面的距离与它到顶点的距离的一个带权的 Erdos- Mordell型不等式 ,并由此导出了涉及 n维单形的内任一点的一组儿何不等式 ,其中包括三角形中著名的In this paper, the following results have been proved with principle and method of distance geometry, The distances limited authority Erdos Mordell inequalities of a point in a n dimension (n ≥2) simplex that is to n 1 dimension boundary face and to vertexes, and some geometry inequalities of a point in n dimension simplex,there is a well known Child inequality in a triangle that has been spreaded to high dimension now.

关 键 词：单形 超球 Erdoes-Mordell型不等式 距离几何 几何不等式 

分 类 号：O184[理学—数学]