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Listar Artículos (Matemática Aplicada I) por autor "Falcón Ganfornina, Raúl Manuel"
Mostrando ítems 1-20 de 69
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Artículo
A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
Falcón Ganfornina, Raúl Manuel; Johnson, Laura; Perkins, Stephanie (AIMS Press, 2020)This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. ...
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A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares
Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Gudiel Rodríguez, Félix (Springer, 2019)Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ...
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Artículo
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Wiley, 2016)The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined ...
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A computational approach to analyze the Hadamard quasigroup product
Falcón Ganfornina, Raúl Manuel; Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (American Institute of Mathematical Sciences (AIMS), 2023-03-30)Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as ...
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A historical perspective of the theory of isotopisms
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2018-08-03)In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras ...
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A historical perspective of Tian’s evolution algebras
Ceballos, Manuel; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio, Ángel F. (Elsevier, 2021)Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent ...
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A Mixed Heuristic for Generating Cocyclic Hadamard Matrices
Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Osuna Lucena, Amparo (Springer, 2018)A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
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A new quasigroup isomorphism invariant arising from fractal image patterns
Falcón Ganfornina, Raúl Manuel (Chişinău: Institutul de Matematică şi Informatică "Vladimir Andrunachievici", 2022)The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role ...
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A paradigmatic approach to investigate restricted hyper totient graphs
Ali, Shahbaz; Mahmmod, Muhammad Khalid; Falcón Ganfornina, Raúl Manuel (AIMS Press, 2021)Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or ...
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A particular case of extended isotopisms: Santilli's isotopisms
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2006)Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity ...
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Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2018-02-15)The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any ...
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An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (MDPI, 2019)Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of ...
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An approach to the isotheory by means of extended pseudoisotopisms
Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (American Institute of Physics, 2016)Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to ...
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Artículo
Análisis de algunas WebQuest dedicadas a la Historia de las Matemáticas
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010-03)Este artículo trata el concepto y la utilización de las WebQuest por parte del profesorado de Matemáticas en los diferentes ...
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Artículo
Aprendizaje autónomo en Matemáticas Aplicadas a la Edificación: Simbiosis entre WebCT y software matemático
Arriola Hernández, Rosario; Barrena Algara, Eva; Chávez de Diego, María José; Delgado Garrido, Olvido; Falcón Ganfornina, Raúl Manuel; Fernández Pérez-Rendón, Antonio; Garrido Vizuete, María de los Angeles; Marín Sánchez, Juan Manuel; Navarro Domínguez, María de los Ángeles; Pérez Martín, Francisco de Paula; Revuelta Marchena, María Pastora; Riva Moreno, Yolanda de la; Sanz Domínguez, María Isabel (Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010)En el presente artículo analizamos el proceso de adaptación a enseñanza virtual de las asignaturas del área de Matemática ...
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Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2017-02-15)Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their ...
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Classification of filiform Lie algebras up to dimension 7 over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Ovidius University, 2016)This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the ...
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Artículo
Cocyclic Hadamard matrices over Latin rectangles
Álvarez Solano, Víctor; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (Elsevier, 2019)In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper ...
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Computation of isotopisms of algebras over finite fields by means of graph invariants
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Elsevier, 2017-07)In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
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Computing autotopism groups of partial Latin rectangles: A pilot study
Stones, Rebecca J.; Falcón Ganfornina, Raúl Manuel; Kotlar, Daniel; Marbach, Trent G. (Wiley, 2019)Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has ...