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Browsing by Author "Falcón Ganfornina, Raúl Manuel"
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Presentation
0/1-Polytopes related to Latin squares autotopisms
Falcón Ganfornina, Raúl Manuel (2008)The set LS(n) of Latin squares of order n can be represented in Rn3 as a (n−1)3-dimensional 0/1-polytope. Given an autotopism ...
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Presentation
3D-Dynamical geometry in building construction
Falcón Ganfornina, Raúl Manuel (2010)In Architecture and Technical Architecture Degrees, students use CAD tools (ComputerAided Design) which are not capable, ...
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Presentation
4-semirredes asociadas a cuadros latinos parciales regularmente auto-ortogonales
Falcón Ganfornina, Raúl Manuel (2012-07)El presente artículo se centra en la enumeración y clasificación de 4- semirredes asociadas al conjunto Sn,s de cuadrados ...
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Article
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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Article
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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Article
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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Article
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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Presentation
A faithful functor among algebras and graphs
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad (Computational and Mathematical Methods in Science and Engineering, 2016)The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known ...
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Article
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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Article
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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Article
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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Article
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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Article
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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Presentation
AleatorioEntre[m,M]
Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2012)Uno de los comandos más versátiles a la hora de trabajar y elaborar material didáctico con GeoGebra es AleatorioEntre[m,M]. ...
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Article
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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Article
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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Article
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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Presentation
Analyzing constraints influence in the design of rotating crew schedules
Falcón Ganfornina, Raúl Manuel; Barrena Algara, Eva; Canca Ortiz, José David; Laporte, Gilbert (2016) -
Article
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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Presentation
Aplicaciones de GeoGebra al Análisis
Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo; Barrena Algara, Eva; Ramírez Campos, Rosana (2011-04)En el presente trabajo se elaboran actividades con GeoGebra para utilizarlas en el aula de Matemáticas en el Bloque de ...