NameFalcón Ganfornina, Raúl Manuel
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
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Optimal Shadow Allocations of Secret Sharing Schemes Arisen from the Dynamic Coloring of Extended Neighborhood Coronas

Falcón Ganfornina, Raúl Manuel; Mohanapriya, Nagaraj; Aparna, Venkitachalam (MDPI, 2022-01-01)
Every t-dynamic proper n-coloring of a graph G describes a shadow allocation of any (n, t + 1)-threshold secret sharing ...
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Recognition and Analysis of Image Patterns Based on Latin Squares by Means of Computational Algebraic Geometry

Falcón Ganfornina, Raúl Manuel (MDPI, 2021-03-21)
With the particular interest of being implemented in cryptography, the recognition and analysis of image patterns based ...
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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

Falcón Ganfornina, Raúl Manuel; Álvarez, Víctor; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén (MDPI [Commercial Publisher], 2021-01-06)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ...
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New advances concerning critical sets based on Latin square autotopisms

Falcón Ganfornina, Raúl Manuel (Kongunadu Arts and Science College, 2021-01-01)
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On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph

Deepa, T.; Falcón Ganfornina, Raúl Manuel; Venkatachalam, M. (AIMS Press, 2021-01-01)
In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with ...
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A paradigmatic approach to investigate restricted hyper totient graphs

Ali, Shahbaz; Mahmmod, Muhammad Khalid; Falcón Ganfornina, Raúl Manuel (AIMS Press, 2021-01-01)
Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or an ...
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On the r-dynamic coloring of some fan graph families

Falcón Ganfornina, Raúl Manuel; Venkatachalam, M.; Gowri, S.; Nandini, G. (Ovidius University Constanta, 2021-01-01)
In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph ...
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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, 2021-01-01)
Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent ...
Master's Final Project
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Atractores de hábitat en la balsa del Sapo: defensa en tierra

Fernández-Valderrama Aparicio, Luz; Ampliato Briones, Antonio Luis; Larive López, Enrique; Compán Cardiel, Víctor Jesús; Mascort-Albea, Emilio J.; Vigil-Escalera Pacheco, Manuel; Hildenbrand Scheid, Andreas; Llatas, Carmen; Ordóñez Martín, Manuel Arturo; Galindo del Pozo, Miguel; Falcón Ganfornina, Raúl Manuel; Fernández Moro, Jaime (2020-11-01)
En el siguiente documento se desarrolla un análisis tanto histórico como morfológico del Campo de Dalías, perteneciente a ...
Master's Final Project
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Probeta: el aljibe contemporáneo

Fernández-Valderrama Aparicio, Luz; Larive López, Enrique; Ampliato Briones, Antonio Luis; Compán Cardiel, Víctor Jesús; Mascort-Albea, Emilio J.; Llatas, Carmen; Ordóñez Martín, Manuel Arturo; Vigil-Escalera Pacheco, Manuel; Hildenbrand Scheid, Andreas; Ordóñez Martín, Manuel Arturo; Falcón Ganfornina, Raúl Manuel; Galindo del Pozo, Miguel; Moreno Tallante, María (2020-11-01)
Al sur de España y al este de Andalucía nos encontramos con el Campo de Dalías, la mayor huerta de Europa. Esta llanura ...
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The use of non-destructive testing to evaluate the compressive strength 1 of a lime-stabilised rammed-earth wall: Rebound index and ultrasonic pulse velocity

Canivell, Jacinto; Martín del Río, Juan Jesús; Falcón Ganfornina, Raúl Manuel (Elsevier, 2020-01-01)
The non-standardization of rammed earth construction involves the quality control of such a technique to be so troublesome ...
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Rammed Earth Construction: A Proposal for a Statistical Quality Control in the Execution Process

Canivell, Jacinto; Martín del Río, Juan Jesús; Falcón Ganfornina, Raúl Manuel; Rubio Bellido, Carlos (MDPI AG, 2020-01-01)
Unlike other common contemporary construction materials such as concrete, mortars, or fired clay bricks, which are widely ...
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On Cocyclic Hadamard Matrices over Goethals-Seidel Loops

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 (MDPI, 2020-01-01)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ...
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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, 2020-01-01)
This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. ...
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On the r-dynamic coloring of subdivision-edge coronas of a path

Nandini, G.; Venkatachalam, M.; Falcón Ganfornina, Raúl Manuel (AIMS Press, 2020-01-01)
This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the ...
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On the r-dynamic coloring of the direct product of a path with either a path or a cycle

Deepa, T.; Venkatachalam, M.; Falcón Ganfornina, Raúl Manuel (AIMS Press, 2020-01-01)
In this paper, we determine explicitly the r-dynamic chromatic number of the direct product of any given path with either a path or a cycle. Illustrative examples are shown for each one of the cases that are studied throughout the paper.
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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, 2019-01-01)
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of ...
Presentation
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Towards a life cycle sustainability assessment method for the quantification and reduction of impacts of buildings life cycle

Passer, Alexander; Lützkendorf, Thomas; Habert, Guillaume; Kromp-Kolb, Helga; Monsberger, Michael; Llatas, Carmen; Angulo Fornos, Roque; Bizcocho, N; Cortés Albalá, Isidro; Falcón Ganfornina, Raúl Manuel; García-Martínez, Antonio; Gómez de Cózar, Juan Carlos; López Alonso, S; Meda, P; Mercado Martínez, J. M; Montes Delgado, María Victoria de; Periañez Cristóbal, R; Quiñones, Rocío; Rubio Bellido, Carlos; Ruiz Alfonsea, Marta; Soust-Verdaguer, Bernardette (Graz University of Technology, 2019-01-01)
The construction and building sectorsare one of the highestconsumersof resourcesand energy. Literature evidences the ...
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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, 2019-01-01)
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has ...
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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, 2019-01-01)
Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ...
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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, 2019-01-01)
In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper ...
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Generating binary partial 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 (Elsevier, 2019-01-01)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which ...
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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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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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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, 2018-01-01)
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
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Gröbner bases and cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix (Elsevier, 2018-01-01)
Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ...
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Computing the sets of totally symmetric and totally conjugate orthogonal partial Latin squares by means of a SAT solver

Vigo Aguiar, Jesús; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (Computational and Mathematical Methods in Science and Engineering, 2017-07-01)
Conjugacy and orthogonality of Latin squares have been widely studied in the literature not only for their theoretical ...
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Mutation graphs of asexual diploid organisms

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2017-07-01)
The mutation graph of an asexual diploid organism is introduced as an edgecolouredgraph derived from the genetic pattern ...
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Gröbner bases and cocyclic Hadamard matrices

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix (2017-07-01)
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Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques

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 (2017-07-01)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ...
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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, 2017-07-01)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
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Autotopism stabilized colouring games on rook's graphs

Andres, Stephan Dominique; Falcón Ganfornina, Raúl Manuel (2017-06-29)
Based on the fact that every partial colouring of the rook’s graph Kr✷Ks is uniquely related to an r × s partial Latin ...
Final Degree Project
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Geometría mudéjar en el Patio de las Doncellas, Real Alcazar de Sevilla

Chávez de Diego, María José; Falcón Ganfornina, Raúl Manuel; Gutiérrez Estudillo, María (2017-06-01)
Desde hace varios siglos, Sevilla se caracteriza por sus patios llenos de zócalos de cerámica, lo que caracteriza su ...
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Domótica virtual con GeoGebra

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2017-04-22)
Presentation
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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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Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups

Falcón Ganfornina, Raúl Manuel; Stones, Rebecca J. (Elsevier, 2017-01-01)
An $r \times s$ partial Latin rectangle $(l_{ij})$ is an $r \times s$ matrix containing elements of $\{1,2,\ldots,n\} \cup ...
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(Pseudo)-cocyclic (structured) Hadamard matrices over (quasi)groups

Álvarez Solano, Víctor; Armario Sampalo, José Andrés; Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Gudiel Rodríguez, Félix; Güemes Alzaga, María Belén; Kotsireas, Ilias (2017-01-01)
Progressing on a survey of the state of the art of cocyclic constructions for Hadamard matrices, we will prove that the ...
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Cocyclic Hadamard matrices over Latin rectangles

Falcón Ganfornina, Raúl Manuel; Frau García, María Dolores; Güemes Alzaga, María Belén; Gudiel Rodríguez, Félix; Álvarez Solano, Víctor (2017-01-01)
PhD Thesis
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Distribución de álgebras de lie, MALCEV y evolución en clases de isotopismos

Núñez Valdés, Juan; Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús (2016-09-27)
El presente manuscrito trata distintos aspectos de la teoría de isotopismos de álgebras, centrándose en particular en los ...
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Taller de matemática discreta con GeoGebra

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2016-04-02)
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Estimating building construction costs: analysis of the processbasedbudget model (POP Model)

Falcón Ganfornina, Raúl Manuel; Montes Delgado, María Victoria de; Ramirez de Arellano Agudo, Antonio (Pontificia Universidad Católica de Chile, 2016-04-01)
The recent economic crisis suffered by the Spanish construction sector has brought to light its excessive vulnerability ...
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Resolución interactiva de problemas con GeoGebra

Falcón Ganfornina, Raúl Manuel; Rios Collantes de Terán, Ricardo (2016-04-01)
En la presente comunicación se pretende abordar cómo trabajar en el aula la resolución interactiva de algunos de los ...
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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, 2016-01-01)
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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Counting and enumerating feasible rotating schedules by means of Gröbner bases

Falcón Ganfornina, Raúl Manuel; Barrena Algara, Eva; Canca Ortiz, José David; Laporte, Gilbert (Elsevier, 2016-01-01)
This paper deals with the problem of designing and analyzing rotating schedules with an algebraic computational approach. ...
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Analyzing constraints influence in the design of rotating crew schedules

Falcón Ganfornina, Raúl Manuel; Barrena Algara, Eva; Canca Ortiz, José David; Laporte, Gilbert (2016-01-01)
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Partial latin squares with no non-trivial autotopisms and six autoparatopisms

Stones, Rebecca J.; Falcón Ganfornina, Raúl Manuel (2016-01-01)
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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, 2016-01-01)
Based on the traditional concept of isotopism, extended isotopisms were introduced by the authors in 2006 in order to ...
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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, 2016-01-01)
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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Gene mutations in evolution algebras by means of strong isotopisms

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2016-01-01)
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A faithful functor among algebras and graphs

Vigo Aguiar, Jesús; 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, 2016-01-01)
The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known ...
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Classifications of evolution algebras over finite fields

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2016-01-01)
In this communication we deal with a class of emerging algebras called evolution algebras. These algebras were firstly ...
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Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer, 2016-01-01)
Since the introduction of the concept of isotopism of algebras by Albert in 1942, a prolific literature on the subject has ...
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Santilli autotopisms of partial groups

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Science Publishing Group, 2015-10-01)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
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Classifying partial Latin rectangles

Falcón Ganfornina, Raúl Manuel; Stones, Rebecca J. (2015-09-04)
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Counting partial Latin rectangles

Stones, Rebecca J.; Falcón Ganfornina, Raúl Manuel (2015-07-01)
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Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method

Falcón Ganfornina, Raúl Manuel (Elsevier, 2015-01-01)
The current paper deals with the enumeration and classification of the set SORr,n of self-orthogonal r × r partial Latin ...
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The use of GeoGebra in Discrete Mathematics

Falcón Ganfornina, Raúl Manuel; Rios Collantes de Terán, Ricardo (GeoGebra Institute of Timisoara, 2015-01-01)
In this paper we explain how to make use of the commands that are available in GeoGebra to deal with some realistic problems ...
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Distribution of low dimensional Malcev algebras over finite fields into isomorphism and isotopism classes

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2015-01-01)
This paper addresses the distribution into isomorphism and isotopism classes of the set Mn,p of n-dimensional Malcev ...
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Isotopisms of Lie algebras

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2015-01-01)
The distribution of algebras into equivalence classes is usually done according to the concept of isomorphism. However, ...
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Isotopism and isomorphism classes of certain Lie algebras over finite fields

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer, 2015-01-01)
In the current paper, we study the distribution into isotopism and isomorphism classes of the relevant family FpnFnp of ...
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Modelización matemática de sistemas CAD en Edificación

Falcón Ganfornina, Raúl Manuel (Universitat Politècnica de València, 2015-01-01)
Existe una amplia gama de sistemas CAD destinados a modelar objetos tridimensionales. Basados en una creación y transformación ...
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Mathematical foundations of Santilli isotopies

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Aversa, Alan (Hadronic Press, 2015-01-01)
The main objective of this text is to present the most basic and fundamental aspects of the isotopic Lie-Santilli theory, ...
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Designing evacuation routes with GeoGebra

Falcón Ganfornina, Raúl Manuel; Moreno, Ángela; Ríos Collantes de Terán, Ricardo (GeoGebra Institute of Timisoara, 2015-01-01)
We expose in this paper how the command ShortestDistance can be used in GeoGebra to design evacuation routes in buildings ...
Others
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Matemática Discreta con GeoGebra

Falcón Ganfornina, Raúl Manuel (2014-09-01)
No consta
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Estimating building construction costs by production processes

Montes Delgado, María Victoria de; Falcón Ganfornina, Raúl Manuel; Ramírez de Arellano Agudo, Antonio (2014-01-01)
Building actors need accurate estimates in order to efficiently undertake the construction of buildings. The knowledge of ...
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Schedule and Cost Control in Dwelling Construction Using Control Charts

Marrero Meléndez, Madelyn; Fonseca, Antonio; Falcón Ganfornina, Raúl Manuel; Ramírez de Arellano Agudo, Antonio (Bentham Open, 2014-01-01)
Methods to monitor the schedule and to control cost in dwelling construction projects are numerous and varied but commonly ...
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Isotopismos de álgebras de Lie filiformes sobre cuerpos finitos

Falcón Ganfornina, Raúl Manuel; Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan (2013-10-01)
El presente trabajo trata la distribución del conjunto $\mathcal{F}_n^p$ de álgebras de Lie filiformes de dimensión $n$ ...
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Usando GeoGebra en teoría de grafos

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2013-04-01)
En las últimas versiones de GeoGebra se observa la aparición de un mayor número de herramientas avanzadas relacionadas con ...
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Creación de actividades autoevaluables con GeoGebra

Falcón Ganfornina, Raúl Manuel; Rios Collantes de Terán, Ricardo (2013-04-01)
En el presente taller se muestra cómo crear ejercicios autoevaluables que se adapten al nivel del alumnado, aprovechando ...
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Designing rotating schedules by using Gröbner bases

Falcón Ganfornina, Raúl Manuel; Canca Ortiz, José David; Barrena Algara, Eva (2013-01-01)
In the current paper, we deal with the problem of designing rotating schedules from an algebraic computational approach. ...
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Concurrence designs based on partial Latin rectangles autotopisms

Falcón Ganfornina, Raúl Manuel (2013-01-01)
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GeoGebra y la diversidad en el aula de Matemáticas

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2012-07-01)
En el presente taller se elaboran actividades basadas en las nuevas herramientas de GeoGebra 4 para trabajar la diversidad ...
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Classification of 3 seminets with at most 5 points

Falcón Ganfornina, Raúl Manuel (2012-07-01)
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4-semirredes asociadas a cuadros latinos parciales regularmente auto-ortogonales

Falcón Ganfornina, Raúl Manuel (2012-07-01)
El presente artículo se centra en la enumeración y clasificación de 4- semirredes asociadas al conjunto Sn,s de cuadrados ...
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The compressed shape of a partial Latin rectangle

Falcón Ganfornina, Raúl Manuel (2012-06-01)
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Modelado paramétrico de edificios en el aula de matemáticas

Falcón Ganfornina, Raúl Manuel (Universidad de Córdoba, 2012-01-01)
El estudio analítico de curvas y superficies adquiere una importancia significativa en estudios universitarios asociados ...
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Introducción a GeoGebra Prim

Falcón Ganfornina, Raúl Manuel (2012-01-01)
GeoGebra es una herramienta informática destinada a la enseñanza y aprendizaje de Matemáticas de una forma interactiva en ...
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AleatorioEntre[m,M]

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo (2012-01-01)
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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El ordenador portátil como herramienta de apoyo en el aprendizaje activo de matemática aplicada a la edificación

Falcón Ganfornina, Raúl Manuel (Universidad de Sevilla, 2012-01-01)
La integración en el proceso de enseñanza-aprendizaje de herramientas informáticas que requieren una participación activa ...
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Cycle structures of autotopisms of the Latin squares of order up to 11

Falcón Ganfornina, Raúl Manuel (2012-01-01)
The cycle structure of a Latin square autotopism Θ = (α, β, γ) is the triple (lα, lβ, lγ), where lδ is the cycle structure ...
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Modelado paramétrico de edificios en el aula de Matemáticas

Falcón Ganfornina, Raúl Manuel (UCOPress. Editorial Universidad de Córdoba, 2012-01-01)
El estudio analítico de curvas y superficies adquiere una importancia significativa en estudios universitarios asociados ...
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Clasificación de cuadros latinos parciales de orden menor o igual a 4

Falcón Ganfornina, Raúl Manuel (2011-11-01)
El número de cuadrados latinos parciales relacionados con un autotopismo dado es conocido para orden menor o igual a 4. ...
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Integration of a CAS/DGS as a CAD system in the mathematics curriculum for architecture students

Falcón Ganfornina, Raúl Manuel (Taylor & Francis, 2011-09-15)
Students of Architecture and Building Engineering Degrees work withComputer Aided Design systems daily in order to design ...
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Aplicaciones de GeoGebra al Análisis

Falcón Ganfornina, Raúl Manuel; Ríos Collantes de Terán, Ricardo; Barrena Algara, Eva; Ramírez Campos, Rosana (2011-04-01)
En el presente trabajo se elaboran actividades con GeoGebra para utilizarlas en el aula de Matemáticas en el Bloque de ...
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Las raíces bohemias de Bolzano

Falcón Ganfornina, Raúl Manuel (2011-04-01)
Las distintas herramientas que ofrece GeoGebra pueden ser aprovechadas a la hora de abordar de una forma visual y dinámica ...
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Presentación y resolución de problemas mediante Geogebra

Barrena Algara, Eva; Falcón Ganfornina, Raúl Manuel; Ramírez Campos, Rosana; Ríos Collantes de Terán, Ricardo (Federación Iberoamericana de Educación Matemática (FISEM), 2011-03-01)
GeoGebra es un software de Matemáticas, diseñado para enseñar y aprender, que ofrece herramientas para la resolución ...
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Partial Latin squares related to a given autotopism

Falcón Ganfornina, Raúl Manuel (2011-01-01)
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The set of autotopisms of partial Latin squares

Falcón Ganfornina, Raúl Manuel (2011-01-01)
Symmetries of a partial Latin square are primarily determined by its autotopism group. Analogously to the case of Latin ...
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Elaboración de una presentación interactiva de diapositivas con GeoGebra

Falcón Ganfornina, Raúl Manuel; Barrena Algara, Eva; Ramírez Campos, Rosana; Ríos Collantes de Terán, Ricardo (2010-09-01)
Si bien GeoGebra es un software de Geometría Dinámica que dispone de herramientas como la “Barra de navegación por pasos” ...
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Modelado dinámico en 3D: Construcciones arquitectónicas

Falcón Ganfornina, Raúl Manuel (2010-03-01)
En la presente comunicación se muestran ejemplos de reconstrucción y modelado 3D de diversas construcciones arquitectónicas ...
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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, 2010-03-01)
Este artículo trata el concepto y la utilización de las WebQuest por parte del profesorado de Matemáticas en los diferentes ...
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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, 2010-01-01)
En el presente artículo analizamos el proceso de adaptación a enseñanza virtual de las asignaturas del área de Matemática ...
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3D-Dynamical geometry in building construction

Falcón Ganfornina, Raúl Manuel (2010-01-01)
In Architecture and Technical Architecture Degrees, students use CAD tools (ComputerAided Design) which are not capable, ...
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¿Es posible geogebrizar una olimpiada matemática?

Barrena Algara, Eva; Falcón Ganfornina, Raúl Manuel; Ramírez Campos, Rosana; Rios Collantes de Terán, Ricardo (Sociedad Andaluza de Educación Matemática Thales, 2010-01-01)
En la presente comunicación se pretende abordar la resolución dinámica de algunos de los problemas geométricos que han ...
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Simbiosis entre webct y software matemático relativo a matemáticas aplicadas a la edificación

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 (2009-11-01)
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Why are neutral elements immutable?

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2009-01-01)
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Las WebQuest como herramienta de apoyo para el profesor de Matemáticas de Secundaria y Bachillerato

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (Real Sociedad Matemática Española, 2009-01-01)
En este artículo se presenta una visión global de lo que se entiende por WebQuest (WQ en lo sucesivo) y se muestra su ...
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Estudio sobre un problema de la XXIV Olimpiada Matemática Thales

Amaro Parrado, Manuel; Falcón Ganfornina, Raúl Manuel; González Ternero, Francisco Miguel; Peñas Troyano, María (Sociedad Andaluza de Educación Matemática Thales, 2009-01-01)
En el presente artículo nos proponemos analizar uno de los problemas propuestos al alumnado de 2º de E.S.O. que participó ...
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Periodos asociados a los isotopismos de un cuadrado latino

Chávez de Diego, María José; Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel (Instituto Superior de Engenharia da Universidade do Algarve, 2009-01-01)
En Criptografía, la eficacia de un generador de secuencias pseudo-aleatorias viene determinada por el periodo de crecimiento ...
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Gymkhana geométrica en el parque de María Luisa

Falcón Ganfornina, Raúl Manuel (2008-10-01)
El presente taller muestra las posibilidades geométricas que ofrece nuestro entorno inmediato para el desarrollo de ...
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Structural patterns of autotopisms of maximum rank quasigroups

Falcón Ganfornina, Raúl Manuel (2008-10-01)
In this paper, some properties of the set Qn of those quasigroups of n elements having maximum rank n are studied. Although ...
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El papel de las webquest en las NTIC

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (2008-07-01)
La ponencia que aquí se presenta persigue un triple objetivo. Por una parte, mostrarle al lector en general, y al profesorado ...
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Determinants of latin squares of a given pattern

Falcón Ganfornina, Raúl Manuel (2008-07-01)
Cycle structures of autotopisms of Latin squares determine all possible patterns of this kind of design. Moreover, given ...
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New advances in the study of Gröbner bases and the number of latin squares related to autotopisms

Martín Morales, Jorge; Falcón Ganfornina, Raúl Manuel (2008-02-01)
Gröbner bases has been used in [4] to describe an algorithm that allows one to obtain the number of Latin squares of order ...
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The 3-dimensional planar assignment problem and the number of Latin squares related to an autotopism

Martín Morales, Jorge; Falcón Ganfornina, Raúl Manuel (2008-01-01)
There exists a bijection between the set of Latin squares of order n and the set of feasible solutions of the 3-dimensional ...
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Some advances in the research on Lie algebras

Benjumea Acevedo, Juan Carlos; Falcón Ganfornina, Raúl Manuel; Fernández Ternero, Desamparados; Márquez García, María del Carmen; Núñez Valdés, Juan (2008-01-01)
The main goal of this poster, which is written in the form of a survey and tries to show some aspects of the research of ...
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0/1-Polytopes related to Latin squares autotopisms

Falcón Ganfornina, Raúl Manuel (2008-01-01)
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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Designs based on the cycle structure of a Latin square autotopism

Falcón Ganfornina, Raúl Manuel (2008-01-01)
Latin squares have been historically used in order to create statistical designs in which, starting from a small number ...
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Aventura matemática: Búsqueda del tesoro en Isla Mágica

Falcón Ganfornina, Raúl Manuel (2007-11-01)
Durante la fase regional de la XXII Olimpiada Matemática Thales, se realizaron tres pruebas por equipos, aparte de la ...
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Study of critical sets in latin squares by using the autotopism group

Falcón Ganfornina, Raúl Manuel (Elsevier, 2007-08-15)
Given a Latin square L and a subset F of its autotopism group U(L), we study in this paper some properties and results ...
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Cuadrados latinos y códigos secretos: actividades con las que interactuar en el aula de matemáticas

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel (2007-07-01)
El “fenómeno Sudoku”, iniciado en España en el año 2005, ha alcanzado un éxito destacable. Tratándose de un juego en el ...
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Gröbner bases and the number of Latin squares related to autotopisms of order ≤7

Falcón Ganfornina, Raúl Manuel; Martín Morales, Jorge (Elsevier, 2007-01-01)
Latin squares can be seen as multiplication tables of quasigroups, which are, in general, noncommutativeand non-associative ...
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Santilli's autotopism of associative partial quasigroups

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (International Academic Press, 2007-01-01)
In this paper, given an isotopism Θ ∈ In, we study some properties of the set SAPLS(Θ) of those partial Latin squares being the multiplication table of an associative partial quasigroup having Θ as a Santilli’s autotopism.
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Graphs related to principal autotopisms of Latin squares

Falcón Ganfornina, Raúl Manuel (2006-07-01)
Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, ...
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Latin squares associated to principal autotopisms of long cycles. Application in Cryptography

Falcón Ganfornina, Raúl Manuel (2006-04-01)
Fixed a principal isotopism $\Theta=(\alpha,\beta,\epsilon)\in S_n^3$, where $S_n$ is the symmetric group of the set ...
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Θ-critical sets of Latin squares having Θ as a principal autotopism

Falcón Ganfornina, Raúl Manuel (2006-01-01)
Any principal autotopism Θ of a Latin square L ∈ LS(n), whose elements are in a set N of n symbols, gives a significant ...
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Decomposition of principal autotopisms into triples of a Latin square

Falcón Ganfornina, Raúl Manuel (2006-01-01)
Triples of a Latin square L and isotopisms of its autotopism group U (L) can be used to get a secret sharing scheme in ...
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Critical and forcing sets related to the autotopism group of a Latin square

Falcón Ganfornina, Raúl Manuel (2006-01-01)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme ...
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A particular case of extended isotopisms: Santilli's isotopisms

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2006-01-01)
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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The general set in the MCIM Isotopic Model

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer Verlag, 2005-01-01)
To obtain a bigger number of mathematical and physical applications of the Santilli’s isotheory, the latest studies have ...
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Una mascota en clase de Matemáticas

Aranda Colubi, Belén; Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel (2005-01-01)
Lo que se pretende en la presente comunicación es hacer entender que disponer de una mascota en una clase de Matemáticas ...
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Isorings and related isostructures

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Zanichetti, 2005-01-01)
Lo scopo principale di questo articolo è dare una fondazione matematica, seria e costante a delle parti dell’isoteoria di ...
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The General Set in the MCIM isotopic model

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Springer, 2005-01-01)
To obtain a bigger number of mathematical and physical applications of the Santilli's isotheory, the last studies have ...
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Extension of Santilli's isotopies to non-injective isoalgebras

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Kyungnam University Press, 2005-01-01)
Santilli's isotopies constitute a new branch of mathematics characterized by axiom-preserving isotopic lifting of units, ...
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Recent advances on Tsagas-Sourlas-Santilli isotopology

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Kyungnam University Press, 2005-01-01)
Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory ...
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Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2004-09-01)
At 1978, R.M. Santilli proposed to generalize the conventional Lie theory by using isotopies. To do it, he considered that ...
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Basic concepts on Lorentz symmetry and Minkowsky isogeometry by using MCIM model

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2004-09-01)
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Álgebras admisibles e isoálgebras de Lie-Santilli (aplicación en mecánica clásica y cuántica)

Falcón Ganfornina, Raúl Manuel (2004-01-01)
La teoría de admisibilidad en álgebras, introducida por Albert en 1948, ha resultado tener aplicación en diversos campos ...
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Isovariedades isodiferenciables y grupos de Lie-Santilli

Núñez Valdés, Juan; Falcón Ganfornina, Raúl Manuel (2004-01-01)
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Conceptos básicos sobre isocriptografía siguiendo el modelo MCIM

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Universidad Politécnica de Madrid, 2004-01-01)
Una de las aplicaciones prácticas de la isoteoría de Santilli que ha surgido en los últimos años se refiere al campo de ...
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Estudio de la Isotopología de Tsagas-Sourlas-Santilli

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Hadronic Press, 2003-01-01)
Since his original proposal of 1978 to study Lie-isotopic and Lie-admissible liftings of conventional, local-differential ...
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Los isonúmeros o el porqué de ser 2 x 3 = 5/√7

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (2003-01-01)
Uno de los aspectos en los que se basa la enseñanza de las Matemáticas es el manejo del elemento unidad. En este sentido, ...
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Isogroups and isosubgroups

Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Real Academia de Ciencias Exactas, Físicas y Naturales, 2003-01-01)
The main goal of this paper is to give a mathematical foundation, serious and consistent, to some parts of Santilli’s ...