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Artículo
Generalized Hadamard full propelinear codes
(Springer, 2021)
Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized ...
Artículo
Optimal Divisions of a Convex Body
(Ele-Math, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the ...
Artículo
Zinbiel superalgebras
(Electronic Journals Project, 2023)
Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all Zinbiel superalgebras over an arbitrary field are nilpotent in the same way as occurs for Zinbiel ...
Artículo
When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?
(Elsevier, 2020)
We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces associated to an N-function Φ and a (quasi-) Banach function space X over a positive finite measure ...
Artículo
A Weakly Non-hydrostatic Shallow Model for Dry Granular Flows
(Springer, 2021)
A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into account vertical acceleration. A variable friction coefficient based on the μ(I) rheology is considered. The model is obtained from ...
Artículo
Simplicial-Map Neural Networks Robust to Adversarial Examples
(MDPI [Commercial Publisher], 2021-01-15)
Broadly speaking, an adversarial example against a classification model occurs when a small perturbation on an input data point produces a change on the output label assigned by the model. Such adversarial examples represent ...
Artículo
On the isodiametric and isominwidth inequalities for planar bisections
(European Mathematical Society (EMS), 2021)
For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an injective continuous curve connecting exactly two boundary points of K. Consider a bisection of ...
Artículo
Solidarity Behaviour for Optimizing the Waste Selective Collection
(International Information and Engineering Technology Association, 2020)
The problem of managing selective collection of waste using containers inside historic city centres can be performed in three sequential phases: first, locating containers along the streets; then, determining the minimum ...
Artículo
Borsuk Number for Planar Convex Bodies
(Springer, 2019-12-14)
By using some simple tools from graph theory, we obtain a characterization of the compact sets in Rn with Borsuk number equal to two. This result allows to give some examples of planar (convex) compact sets with Borsuk ...
Artículo
On partitions with K corners not containing the staircase with one more corner
(Elsevier, 2022)
We give three proofs of the following result conjectured by Carriegos, De Castro-García and Muñoz Castañeda in their work on enumeration of control systems: when ( k+1 2 ) ≤ n < ( k+2 2 ) , there are as many ...