On integer compositions using SageMath

SageMath (or simply SAGE, by the initials of: Software for Algebra and Geometry Experimentation) is a free mathematical software that integrates, under the modern Python programming environment, all the best existing open source mathematical software in a unified interface that includes the imple...

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Main Authors: Mantilla Rozo, Jazmín Liseth, Olaya-León, Wilson
Format: Online
Language:spa
Published: Universidad Pedagógica y Tecnológica de Colombia 2022
Subjects:
Online Access:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/13914
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author Mantilla Rozo, Jazmín Liseth
Olaya-León, Wilson
author_facet Mantilla Rozo, Jazmín Liseth
Olaya-León, Wilson
author_sort Mantilla Rozo, Jazmín Liseth
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description SageMath (or simply SAGE, by the initials of: Software for Algebra and Geometry Experimentation) is a free mathematical software that integrates, under the modern Python programming environment, all the best existing open source mathematical software in a unified interface that includes the implementation of a wide range of functionalities that allow to support research and education in the different areas of mathematics. In this article we present the program codes made in Sage to obtain the different types of restrictions and generalizations of the compositions of integers most cited in the literature. We show how these programs have served to obtain conjectures and new results in current research topics in this area of mathematics.
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spelling oai:oai.revistas.uptc.edu.co:article-139142023-06-26T20:43:15Z On integer compositions using SageMath Sobre composiciones de enteros usando SageMath Mantilla Rozo, Jazmín Liseth Olaya-León, Wilson Composiciones composiciones palíndromas composiciones de Carlitz composiciones Coloreadas composiciones superdiagonales Compositions Palindromic compositions Carlitz compositions Colored compositions Superdiagonal compositions SageMath (or simply SAGE, by the initials of: Software for Algebra and Geometry Experimentation) is a free mathematical software that integrates, under the modern Python programming environment, all the best existing open source mathematical software in a unified interface that includes the implementation of a wide range of functionalities that allow to support research and education in the different areas of mathematics. In this article we present the program codes made in Sage to obtain the different types of restrictions and generalizations of the compositions of integers most cited in the literature. We show how these programs have served to obtain conjectures and new results in current research topics in this area of mathematics. SageMath (o simplemente SAGE, por las iniciales de: Software for Algebra and Geometry Experimentation) es un software matemático libre que integra, bajo el moderno entorno de programación de Python, todo el software matemático de código abierto existente, en una interfaz unificada que permite la implementación de una amplia gama de funcionalidades para dar soporte a la investigación y educación en las distintas áreas de las matemáticas. En este artículo presentamos los códigos de los programas hechos en Sage para obtener los distintos tipos de restricciones y generalizaciones de las composiciones de números enteros más citadas en la literatura. Mostramos cómo dichos programas han servido para obtener conjeturas y nuevos resultados en temas actuales de investigación en esta área de las matemáticas. Universidad Pedagógica y Tecnológica de Colombia 2022-07-12 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/13914 10.19053/01217488.v13.n2.2022.13914 Ciencia En Desarrollo; Vol. 13 No. 2 (2022): Vol. 13 Núm. 2 (2022): Vol. 13 Núm. 2 (2022): Vol 13, Núm.2 (2022): Julio-Diciembre; 86-97 Ciencia en Desarrollo; Vol. 13 Núm. 2 (2022): Vol. 13 Núm. 2 (2022): Vol. 13 Núm. 2 (2022): Vol 13, Núm.2 (2022): Julio-Diciembre; 86-97 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/13914/12648
spellingShingle Composiciones
composiciones palíndromas
composiciones de Carlitz
composiciones Coloreadas
composiciones superdiagonales
Compositions
Palindromic compositions
Carlitz compositions
Colored compositions
Superdiagonal compositions
Mantilla Rozo, Jazmín Liseth
Olaya-León, Wilson
On integer compositions using SageMath
title On integer compositions using SageMath
title_alt Sobre composiciones de enteros usando SageMath
title_full On integer compositions using SageMath
title_fullStr On integer compositions using SageMath
title_full_unstemmed On integer compositions using SageMath
title_short On integer compositions using SageMath
title_sort on integer compositions using sagemath
topic Composiciones
composiciones palíndromas
composiciones de Carlitz
composiciones Coloreadas
composiciones superdiagonales
Compositions
Palindromic compositions
Carlitz compositions
Colored compositions
Superdiagonal compositions
topic_facet Composiciones
composiciones palíndromas
composiciones de Carlitz
composiciones Coloreadas
composiciones superdiagonales
Compositions
Palindromic compositions
Carlitz compositions
Colored compositions
Superdiagonal compositions
url https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/13914
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