Some inequalities for two simplices in the Euclidean space E(n)

Simplices are used as building blocks to construct an interesting class of topological spaces called simplicial complexes, which exhibit remarkable symmetric properties. In this paper, we study the problems of inequalities for two simplices in the Euclidean space [Formula: see text]. We establish so...

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Detalles Bibliográficos
Autores principales: Pan, Juanjuan, Zuo, Xuewu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10679489/
https://www.ncbi.nlm.nih.gov/pubmed/38027591
http://dx.doi.org/10.1016/j.heliyon.2023.e22418
Descripción
Sumario:Simplices are used as building blocks to construct an interesting class of topological spaces called simplicial complexes, which exhibit remarkable symmetric properties. In this paper, we study the problems of inequalities for two simplices in the Euclidean space [Formula: see text]. We establish some new inequalities for the vertex distances of two simplices and obtain some generalizations of the classical Neuberg-Pedoe inequality.

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