Listar AC - GIMATH: Grupo de investigación en Matemáticas de la Escuela Colombiana de Ingeniería por título
Mostrando ítems 1-20 de 29
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Acta latinoamericana de matemáticas educativa
(Comité Latinoamericano de Matemática Educativa, ClameMéxico, 2018)Este trabajo presenta la forma como la herramienta “descomposición genética”, definida desde la teoría APOS, favorece la comprensión de objetos matemáticos utilizados en cursos de matemáticas universitarias. Lo anterior como ... -
Axiomatic Set Theory à la Dijkstra and Scholten
(Springer VerlagAlemania, 2017)The algebraic approach by E. W. Dijkstra and C. S. Scholten to formallogic is a proof calculus, where the notion of proof is a sequence of equivalencesproved – mainly – by using substitution of ‘equals for equals’. This ... -
Between closed and Ig-closed sets
(Business Global LLCNew York, 2018)The concept of closed sets is a central object in general topology. In order to extend many of important properties of closed sets to a larger families, Norman Levine initiated the study of generalized closed sets. In ... -
BUZANO’S INEQUALITY IN ALGEBRAIC PROBABILITY SPACES
(Croacia, 2019)We obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given in [7]. Applications for numerical ... -
The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups
(2022-06-03)We demonstrate a method for finding the decoherence-free subalgebra N(T) of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ(Cd)) of all bounded operator on the Fock space Γ(Cd) on Cd . We show that ... -
DECOHERENCE-FREE SUBSPACES FOR OPEN QUANTUM RANDOM WALKS ON GRAPHS
(Publicaciones académicas Ltd., 2016)We study decoherence-free subspaces in a type of Quantum Markov Semigroups called continuous-time open quantum random walks on graphs. We measure the temporary changes of quantum correlations using geometric quantum discord ... -
La descomposición genética como herramienta de enseñanza en la educación superior: modelos lineales en ecuaciones diferenciales
(México, 2018)Este trabajo presenta la forma como la herramienta “descomposición genética”, definida desde la teoría APOS, favorece la comprensión de objetos matemáticos utilizados en cursos de matemáticas universitarias. Lo anterior como ... -
Doce lecciones de cálculo vectorial
(Escuela Colombiana de Ingeniería Julio GaravitoAcademia Colombiana De Ciencias ExactasColombia, 2020) -
Ecuaciones diferenciales y teoría APOS. Un estudio de los sistemas masa resorte
(México, 2019)Este trabajo propone un modelo hipotético de construcciones mentales y mecanismos de construcción, para comprender el objeto matemático ecuación diferencial lineal de segundo orden, que modela un sistema masa resorte con ... -
Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States
(2021)We consider the most general Gaussian quantum Markov semigroup on a one-mode Fock space, discuss its construction from the generalized GKSL representation of the generator. We prove the known explicit formula on Weyl ... -
A generalization of connectedness via ideals
(2022)Connected spaces as a generalization of the connectedness, and thus of the Ekici-Noiri and Modak-Noiri notions, through ideals. -
The 𝒫�-Hausdorff, 𝒫�-regular and 𝒫�-normal ideal spaces
(Chile, 2020)We introduce and study new extensions of some separation axioms to ideal topological spaces, which we have called 𝒫����-Hausdorff, 𝒫����-regular and 𝒫����-normal. These extensions are quite natural and represent a good ... -
Matemáticas con LaTeX. Elaboración de gráficos y textos
(Escuela Colombiana de IngenieríaColombia, 2020) -
Modeling the effects of light wavelength on the growth of Nostoc ellipsosporum
(Pontificia Universidad JaverianaJuan Carlos Salcedo-Reyes (salcedo.juan@javeriana.edu.co)Bogotá, Colombia, 2020)Mathematical models provide information about population dynamics under different conditions. In the study, four models were evaluated and employed to describe the growth kinetics of Nostoc ellipsosporum with different ... -
Negafibonacci Numbers via Matrices
(Universidad Estatal de TbilisiGeorgia, 2019)In this paper, negafibonacci numbers are generated by means of matrix methods. A 2×2 matrix is used to obtain some properties of negafibonacci numbers; on the other hand, families of tridiagonal matrices are introduced ... -
New forms of strong compactness in terms of ideals
(Publicaciones académicas Ltd.Colombia, 2016)The aim of this paper is to introduce and study new types of strong compactness, modulo an ideal, called ρI-compactness and σI-compactness. Several of their properties are presented and some effects of various kinds of ... -
On exponential convergence of generic quantum Markov semigroups in a Wasserstein-type distance
(Publicaciones académicas Ltd., 2016)We investigate about exponential convergence for generic quantum Markov semigroups using an generalization of the Lipschitz seminorm and a noncommutative analogue of Wasserstein distance. We show turns out to be closely ... -
On quantum versions of the classical Wasserstein distance
(Springer VerlagInglaterra, 2017)Investigamos una definición de la distancia cuántica de Wasserstein de dos estados basada en sus acoplamientos en el álgebra de productos como en el caso clásico. Un análisis detallado del modelo de dos qubits conduce a ... -
Other forms of continuity modulo an ideal
(Universidad Católica del NorteAntofagasta, Chile, 2020)El tema analizado en este artículo es la continuidad módulo un ideal. Usamos los conjuntos de I abierto para introducir nuevas formas de continuidad débil. Se investigarán algunas propiedades básicas de las funciones ... -
A possible predictive mathematical model for the growth of a periphytic alga
(San José de Cúcuta, Colombia, 2022)Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only ...