节点文献
k-n型Neuberg-Pedoe不等式的推广
The Generalization for k-n Type Neuberg-Pedoe Inequality
【摘要】 给出了En空间中几个新的关于两上单形和它们的k维子单形的体积的k-n型不等式,推广了著名的Neuberg-Pedoe不等式.
【Abstract】 Some geometric inequalities for the volumes of two n-simplexes and their k-subsimplexes are established.The results are generalization to several dimensions of the well-known Neuberg-Pedoe inequality of two triangles.
【关键词】 n维单形;
k维子单形;
体积;
Neuberg-Pedoe不等式;
【Key words】 n-simplex; k-subsimplex; Volume; Neuberg-Pedoe inequality;
【Key words】 n-simplex; k-subsimplex; Volume; Neuberg-Pedoe inequality;
【基金】 湖南省自然科学基金资助项目(06JJ2043);湖南省教育厅科研基金资助项目(05C412)
- 【文献出处】 湖南师范大学自然科学学报 ,Journal of Natural Science of Hunan Normal University , 编辑部邮箱 ,2009年03期
- 【分类号】O178
- 【下载频次】28