The Stern – Brocot tree
The present paper narrates an imaginary conversation between the author and her imaginaryuncle Pedro. The subject of this conversation is the construction of a binary tree from mediantfractions, baptized with the last names of the german mathematician Moritz Stern andthe french clockmaker and amateu...
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Universidad Antonio Nariño
2023
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| Online Access: | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1624 https://repositorio.uan.edu.co/handle/123456789/11567 |
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| author | Czwienczek Miler, Fabiola |
| author_facet | Czwienczek Miler, Fabiola |
| author_sort | Czwienczek Miler, Fabiola |
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| description | The present paper narrates an imaginary conversation between the author and her imaginaryuncle Pedro. The subject of this conversation is the construction of a binary tree from mediantfractions, baptized with the last names of the german mathematician Moritz Stern andthe french clockmaker and amateur mathematician Achille Brocot. In his exposition on theStern-Brocot tree, uncle Pedro explains what the mediant fraction is and exposes some historicaldata about how the mathematician Nicolás Chuquet used it to solve equations. Finally,he proves that in this tree each positive and irreducible fraction appears exactly once. |
| format | info:eu-repo/semantics/article |
| id | repositorio.uan.edu.co-123456789-11567 |
| institution | Repositorio Digital UAN |
| language | spa |
| publishDate | 2023 |
| publisher | Universidad Antonio Nariño |
| record_format | dspace |
| spelling | repositorio.uan.edu.co-123456789-115672024-10-11T20:03:50Z The Stern – Brocot tree El árbol de Stern - Brocot Czwienczek Miler, Fabiola árbol de Stern-Brocot fracción mediante ecuaciones Stern-Brocot tree mediant fraction equations The present paper narrates an imaginary conversation between the author and her imaginaryuncle Pedro. The subject of this conversation is the construction of a binary tree from mediantfractions, baptized with the last names of the german mathematician Moritz Stern andthe french clockmaker and amateur mathematician Achille Brocot. In his exposition on theStern-Brocot tree, uncle Pedro explains what the mediant fraction is and exposes some historicaldata about how the mathematician Nicolás Chuquet used it to solve equations. Finally,he proves that in this tree each positive and irreducible fraction appears exactly once. En el presente artículo se narra una conversación imaginaria entre la autora y su imaginariotío Pedro. El tema de esta conversación es la construcción de un árbol binario a partir defracciones mediantes, bautizado con los apellidos del matemático alemán Moritz Stern ydel relojero y matemático aficionado francés Achille Brocot. En su exposición sobre el árbolde Stern-Brocot el tío Pedro nos explica qué es la fracción mediante y nos proporcionaalgunos datos históricos sobre cómo el matemático Nicolás Chuquet la utilizaba para resolverecuaciones. Finalmente , demuestra que en este árbol aparece toda fracción positiva eirreducible exactamente una vez. 2023-09-25 2024-10-11T20:03:50Z 2024-10-11T20:03:50Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo revisado por pares https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1624 10.48082/espmat-v01n01a20p03 https://repositorio.uan.edu.co/handle/123456789/11567 spa https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1624/1244 Derechos de autor 2023 Espacio Matemático application/pdf Universidad Antonio Nariño ESPACIO MATEMÁTICO Journal; Vol. 1 No. 1 (2020); 38-49 Espacio Matemático; Vol. 1 Núm. 1 (2020); 38-49 ESPACIO MATEMÁTICO; Vol. 1 No 1 (2020); 38-49 Revista Espacio Matemático; v. 1 n. 1 (2020); 38-49 2711-1792 10.48082/em.v1i1 |
| spellingShingle | árbol de Stern-Brocot fracción mediante ecuaciones Stern-Brocot tree mediant fraction equations Czwienczek Miler, Fabiola The Stern – Brocot tree |
| title | The Stern – Brocot tree |
| title_full | The Stern – Brocot tree |
| title_fullStr | The Stern – Brocot tree |
| title_full_unstemmed | The Stern – Brocot tree |
| title_short | The Stern – Brocot tree |
| title_sort | stern brocot tree |
| topic | árbol de Stern-Brocot fracción mediante ecuaciones Stern-Brocot tree mediant fraction equations |
| url | https://revistas.uan.edu.co/index.php/espaciomatematico/article/view/1624 https://repositorio.uan.edu.co/handle/123456789/11567 |
| work_keys_str_mv | AT czwienczekmilerfabiola thesternbrocottree AT czwienczekmilerfabiola elarboldesternbrocot AT czwienczekmilerfabiola sternbrocottree |
