๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Inequalities for medians of two simplices

โœ Scribed by Donghua Wu; Weiwen Tian


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
179 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Inequalities for Two Simplices
โœ Leng Gangsong; Shen Zhu; Tang Lihua ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 69 KB

We establish in this paper an inequality for two simplices, which combine altitudes and edge-lengths of one simplex with distances from an interior point to its facets of the other simplex, and give some applications thereof.

Inequalities for volumes and medians of
โœ Li Xiaoyan; Zhang Yao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 479 KB

Some new inequalities for volumes and medians of two simplexes are established. These new results are generalizations to several dimensions of the well-known Neuberg-Pedoe inequality of two triangles.

The generalized sine theorem and inequal
โœ Gangsong Leng; Yao Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 463 KB

For an n-dimensional simplex in E", we establish a sine theorem and some inequalities for k-order vertex angles which are defined in this paper. To prove these results. we give a formula about the inverse matrix of the metric matrix of an n-parallelotope.