95623 20210902121822.0 sideral 119225 ART-2020-119225 eng Oller-Marcen, A.M. (orcid)0000-0002-8191-3199 Further generalizations of the parallelogram law 2020 Access copy available to the general public Unrestricted In a recent work of Alessandro Fonda, a generalization of the parallelogram law in any dimension N >= 2 was given by considering the ratio of the quadratic mean of the measures of the (N - 1)-dimensional diagonals to the quadratic mean of the measures of the faces of a parallelotope. In this paper, we provide a further generalization considering not only (N - 1)-dimensional diagonals and faces, but the k-dimensional ones for every 1 <= k <= N - 1. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.743 2020 MATHEMATICS 226 / 330 = 0.685 2020 Q3 T3 0.229 2020 Discrete Mathematics and Combinatorics 2020 Q4 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 15, 2 (2020), 153-158 Contrib. discret. math. CONTRIBUTIONS TO DISCRETE MATHEMATICS 1715-0868 88539 http://zaguan.unizar.es/record/95623/files/texto_completo.pdf Versión publicada 41081 http://zaguan.unizar.es/record/95623/files/texto_completo.jpg?subformat=icon icon Versión publicada https://arxiv.org/abs/1910.06645 Texto completo de la revista oai:zaguan.unizar.es:95623 articulos driver 2021-09-02-10:09:04 ARTICLE