ScholarLens Back to search
2011•Journal of Shandong UniversityRequires access

The stability of some inequalities for a simplex

Pan Juan-juan

Open publisher page 0 citations

Abstract

Using the theory and method of distance geometry,the problems of stability of some geometric inequalities for an n-dimensional simplex in the Euclidean space is studied.From the deviation regular metric of two simplexes,the stabilities of four important geometric inequalities of an n-dimensional simplex are proved,and the stability versions of these geometric inequalities for a simplex are given.

About this research paper

What this paper is about

Using the theory and method of distance geometry,the problems of stability of some geometric inequalities for an n-dimensional simplex in the Euclidean space is studied.From the deviation regular metric of two simplexes,the stabilities of four important geometric inequalities of an n-dimensional simplex are proved,and the stability versions of these geometric inequalities for a simplex are given.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Using the theory and method of distance geometry,the problems of stability of some geometric inequalities for an n-dimensional simplex in the Euclidean space is studied.From the deviation regular metric of two simplexes,the stabilities of four important geometric inequalities of an n-dimensional simplex are proved,and the stability versions of these geometric inequalities for a simplex are given.

Key concepts: Simplex, Mathematics, Euclidean space, Metric (unit), Stability (learning theory), Euclidean geometry, Inequality, Metric space

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The stability of some inequalities for a simplex — Research Paper | ScholarLens