Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software
Most elementary Differential Geometry texts address the study of Frenet-Serret apparatus of spatial curves from a parameterization thereof. However, it is possible to calculate the Frenet-Serret apparatus of given spatial curves as the intersection of two surfaces expressed in Cartesian form. In thi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2019-12-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2642 |
| _version_ | 1818258443061952512 |
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| author | Graciela Burgos N. Judith Jiménez V. Yecsy Ascate R. |
| author_facet | Graciela Burgos N. Judith Jiménez V. Yecsy Ascate R. |
| author_sort | Graciela Burgos N. |
| collection | DOAJ |
| description | Most elementary Differential Geometry texts address the study of Frenet-Serret apparatus of spatial curves from a parameterization thereof. However, it is possible to calculate the Frenet-Serret apparatus of given spatial curves as the intersection of two surfaces expressed in Cartesian form. In this work the new package, FSAparatus, coded in the language of the scientific software is presented Mathematica v. 11.2. The outputs obtained are entirely compatible with the own commands of Mathematica. This package could become a tool in the process of Teaching course learning differential geometry of undergraduate. |
| first_indexed | 2024-12-12T17:59:37Z |
| format | Article |
| id | doaj.art-c85ac29952e04d07b1e4c0dac49b5a0f |
| institution | Directory Open Access Journal |
| issn | 2411-1783 2411-1783 |
| language | Spanish |
| last_indexed | 2024-12-12T17:59:37Z |
| publishDate | 2019-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-c85ac29952e04d07b1e4c0dac49b5a0f2022-12-22T00:16:39ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-12-0160233834710.17268/sel.mat.2019.02.20Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 softwareGraciela Burgos N.0Judith Jiménez V.1Yecsy Ascate R.2Facultad de Ciencias, Universidad Nacional de Piura, Urb. Miraflores S/N, Castilla, Piura-PerúFacultad de Ciencias, Universidad Nacional de Piura, Urb. Miraflores S/N, Castilla, Piura-PerúFacultad de Ciencias, Universidad Nacional de Piura, Urb. Miraflores S/N, Castilla, Piura-PerúMost elementary Differential Geometry texts address the study of Frenet-Serret apparatus of spatial curves from a parameterization thereof. However, it is possible to calculate the Frenet-Serret apparatus of given spatial curves as the intersection of two surfaces expressed in Cartesian form. In this work the new package, FSAparatus, coded in the language of the scientific software is presented Mathematica v. 11.2. The outputs obtained are entirely compatible with the own commands of Mathematica. This package could become a tool in the process of Teaching course learning differential geometry of undergraduate.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2642frenet serret apparatusspace curvessurface intersection |
| spellingShingle | Graciela Burgos N. Judith Jiménez V. Yecsy Ascate R. Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software Selecciones Matemáticas frenet serret apparatus space curves surface intersection |
| title | Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software |
| title_full | Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software |
| title_fullStr | Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software |
| title_full_unstemmed | Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software |
| title_short | Calculation of the Frenet Serret apparatus of curves given by the intersection of two Implicit Surfaces in R3 usingWolfram Mathematica v.11.2 software |
| title_sort | calculation of the frenet serret apparatus of curves given by the intersection of two implicit surfaces in r3 usingwolfram mathematica v 11 2 software |
| topic | frenet serret apparatus space curves surface intersection |
| url | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2642 |
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