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.
โฆ LIBER โฆ
Inequalities for medians of two simplices
โ 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.
๐ SIMILAR VOLUMES
Inequalities for Two Simplices
โ
Leng Gangsong; Shen Zhu; Tang Lihua
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 69 KB
Inequalities for volumes and medians of
โ
Li Xiaoyan; Zhang Yao
๐
Article
๐
2010
๐
Elsevier Science
๐
English
โ 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
โ
Gangsong Leng; Yao Zhang
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 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.
The sine theorem and inequalities for vo
โ
Darko Veljan
๐
Article
๐
1995
๐
Elsevier Science
๐
English
โ 604 KB
Inequalities for the median of the gamma
โ
Josรฉ A. Adell; Horst Alzer
๐
Article
๐
2009
๐
Elsevier Science
๐
English
โ 639 KB
Two inequalities for the Perron Root
โ
R.B. Bapat
๐
Article
๐
1987
๐
Elsevier Science
๐
English
โ 352 KB