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
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author Pan, Juanjuan
Zuo, Xuewu
author_facet Pan, Juanjuan
Zuo, Xuewu
author_sort Pan, Juanjuan
collection PubMed
description 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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spelling pubmed-106794892023-11-17 Some inequalities for two simplices in the Euclidean space E(n) Pan, Juanjuan Zuo, Xuewu Heliyon Research Article 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. Elsevier 2023-11-17 /pmc/articles/PMC10679489/ /pubmed/38027591 http://dx.doi.org/10.1016/j.heliyon.2023.e22418 Text en © 2023 The Authors https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Pan, Juanjuan
Zuo, Xuewu
Some inequalities for two simplices in the Euclidean space E(n)
title Some inequalities for two simplices in the Euclidean space E(n)
title_full Some inequalities for two simplices in the Euclidean space E(n)
title_fullStr Some inequalities for two simplices in the Euclidean space E(n)
title_full_unstemmed Some inequalities for two simplices in the Euclidean space E(n)
title_short Some inequalities for two simplices in the Euclidean space E(n)
title_sort some inequalities for two simplices in the euclidean space e(n)
topic Research Article
url 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
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AT zuoxuewu someinequalitiesfortwosimplicesintheeuclideanspaceen

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