String Art and Linear Iterative Systems
String art dates back to the 19th century when it was initially invented to ease the delivery of some mathematical ideas. Since then, the art has evolved and so has its use in mathematics. In this chapter, the authors see how some of the phase portraits for 2 x 2 linear homogeneous iterative systems...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | book |
| منشور في: |
2013
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/2142 http://dx.doi.org/10.4018/978-1-4666-4050-4.ch01 https://www.igi-global.com/chapter/string-art-linear-iterative-systems/80266 |
| الوسوم: |
إضافة وسم
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| _version_ | 1864513457428103168 |
|---|---|
| author | Habre, Samer |
| author_facet | Habre, Samer |
| author_role | author |
| dc.creator.none.fl_str_mv | Habre, Samer |
| dc.date.none.fl_str_mv | 2013 2013 2015-09-14T09:33:58Z 2015-09-14T09:33:58Z |
| dc.identifier.none.fl_str_mv | 9781466640504 http://hdl.handle.net/10725/2142 http://dx.doi.org/10.4018/978-1-4666-4050-4.ch01 Habre, S. (2013). String Art and Linear Iterative Systems. In Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software (pp. 212-221). IGI Global Scientific Publishing. https://www.igi-global.com/chapter/string-art-linear-iterative-systems/80266 |
| dc.language.none.fl_str_mv | en |
| dc.publisher.none.fl_str_mv | Information Science Reference |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematics Study and Teaching Data Processing |
| dc.title.none.fl_str_mv | String Art and Linear Iterative Systems |
| dc.type.none.fl_str_mv | Book info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/book |
| description | String art dates back to the 19th century when it was initially invented to ease the delivery of some mathematical ideas. Since then, the art has evolved and so has its use in mathematics. In this chapter, the authors see how some of the phase portraits for 2 x 2 linear homogeneous iterative systems exhibit some artistic behavior that resembles this form of art. The investigation gives a sufficient condition for the solutions of such systems to form closed cycles. However, in other situations the cycles formed are infinite, producing some fascinating examples of string art. |
| eu_rights_str_mv | openAccess |
| format | book |
| id | LAURepo_59eb4c2b726e3f43a6d82b4fcdc1168a |
| identifier_str_mv | 9781466640504 Habre, S. (2013). String Art and Linear Iterative Systems. In Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software (pp. 212-221). IGI Global Scientific Publishing. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/2142 |
| publishDate | 2013 |
| publisher.none.fl_str_mv | Information Science Reference |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | String Art and Linear Iterative SystemsHabre, SamerMathematicsStudy and TeachingData ProcessingString art dates back to the 19th century when it was initially invented to ease the delivery of some mathematical ideas. Since then, the art has evolved and so has its use in mathematics. In this chapter, the authors see how some of the phase portraits for 2 x 2 linear homogeneous iterative systems exhibit some artistic behavior that resembles this form of art. The investigation gives a sufficient condition for the solutions of such systems to form closed cycles. However, in other situations the cycles formed are infinite, producing some fascinating examples of string art.N/AInformation Science Reference2015-09-14T09:33:58Z2015-09-14T09:33:58Z20132013Bookinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/book9781466640504http://hdl.handle.net/10725/2142http://dx.doi.org/10.4018/978-1-4666-4050-4.ch01Habre, S. (2013). String Art and Linear Iterative Systems. In Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software (pp. 212-221). IGI Global Scientific Publishing.https://www.igi-global.com/chapter/string-art-linear-iterative-systems/80266eninfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/21422025-11-14T14:21:10Z |
| spellingShingle | String Art and Linear Iterative Systems Habre, Samer Mathematics Study and Teaching Data Processing |
| status_str | publishedVersion |
| title | String Art and Linear Iterative Systems |
| title_full | String Art and Linear Iterative Systems |
| title_fullStr | String Art and Linear Iterative Systems |
| title_full_unstemmed | String Art and Linear Iterative Systems |
| title_short | String Art and Linear Iterative Systems |
| title_sort | String Art and Linear Iterative Systems |
| topic | Mathematics Study and Teaching Data Processing |
| url | http://hdl.handle.net/10725/2142 http://dx.doi.org/10.4018/978-1-4666-4050-4.ch01 https://www.igi-global.com/chapter/string-art-linear-iterative-systems/80266 |