Listar IMAC_Articles por título
-
Achievable connectivities of Fatou components for a family of singular perturbations
American Institute of Mathematical Sciences (2022-09)In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps ... -
An Accurate and Easy to Interpret Binary Classifier Based on Association Rules Using Implication Intensity and Majority Vote
Multidisciplinary Digital Publishing Institute (2021-06-01)In supervised learning, classifiers range from simpler, more interpretable and generally less accurate ones (e.g., CART, C4.5, J48) to more complex, less interpretable and more accurate ones (e.g., neural networks, SVM). ... -
Applying splitting methods with complex coefficients to the numerical integration of unitary problems
American Institute of Mathematical Sciences (AIMS) (2022)We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation. We prove that a particular class of integrators are conjugate to unitary ... -
Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes
Springer (2023)Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ... -
Arens regularity of ideals of the group algebra of a compact Abelian group
Cambridge University Press (2023-10-27)Let G be a compact Abelian group and E a subset of the group Gˆ of continuous characters of G . We study Arens regularity-related properties of the ideals L1E(G) of L1(G) that are made of functions whose ... -
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
IEEE (2020-01-17)The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ... -
Best Approximation Results for Fuzzy-Number-Valued Continuous Functions
MDPI (2023-02)In this paper, we study the best approximation of a fixed fuzzy-number-valued continuous function to a subset of fuzzy-number-valued continuous functions. We also introduce a method to measure the distance between a ... -
Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space
Springer (2023-09-04)Let be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space of Bloch functions on . Using Lipschitz continuity of the dilation map on given by for , where denotes the ... -
Challenges Regarding Scientific Transcription in Virtual Office Hours
MDPI (2021-03-24)Mathematics teachers face great difficulties during virtual communication with their students, mainly because scientific and technical subjects use a great many mathematical symbols, abstract objects and a wide variety ... -
Classical and Quantum Evaluation Codesat the Trace Roots
IEEE (2019-04)We introduce a new class of evaluation linear codes by evaluating polynomials at the roots of a suitable trace function. We give conditions for self-orthogonality of these codes and their subfield-subcodes with respect to ... -
Clustering constrained on linear networks
Springer (2023)An unsupervised classification method for point events occurring on a geometric network is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering ... -
Complete invariant fuzzy metrics on groups
Elsevier (2018-01-01)We study some questions related to complete fuzzy metric topological groups (in the sense of Kramosil and Michael). Invariant fuzzy metrics are characterized and we prove that if (G, M, ∗) is a fuzzy metric group such ... -
Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity
University of Sistan and Baluchestan (2019)In [25], Katsaras introduced a method for constructing a Hutton [0,1]-quasi-uniformity from a crisp uniformity. In thispaper we present other different methods for making this based mainly in the concept of a fuzzy uniform ... -
Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions
Elsevier (2018-05-15)Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis. In this paper we study completeness, ... -
Composition Methods for Dynamical Systems Separable into Three Parts
MDPI (2020)New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into ... -
Comprensión del conjunto solución de un sistema de ecuaciones lineales de dos incógnitas: un estudio de casos
Sociedad Mexicana de Investigación y Divulgación de la Educación Matemática A. C. (SOMIDEM, A. C) (2022-12)En este artículo se reporta cómo estudiantes chilenos, de secundaria y universitarios, comprenden el Conjunto Solución de un Sistema de Ecuaciones Lineales de tres ecuaciones y dos incógnitas (CSSEL3x2). El estudio se ... -
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation
MDPI (2019)A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces the number of matrix multiplications in comparison with the de-facto standard Paterson-Stockmeyer method for polynomial ... -
Computing the matrix sine and cosine simultaneously with a reduced number of products
Elsevier (2021-05)A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions ... -
Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials
Elsevier (2020-03)We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction ... -
Continuous changes of variables and the Magnus expansion
IOP (2019-09-23)In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by ...