An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular
A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function ger...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6695461 |
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| _version_ | 1832568514714533888 |
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| author | Yanan Liu Muhammad Ahsan Binyamin Adnan Aslam Minahal Arshad Chengmei Fan Hassan Mahmood Jia-Bao Liu |
| author_facet | Yanan Liu Muhammad Ahsan Binyamin Adnan Aslam Minahal Arshad Chengmei Fan Hassan Mahmood Jia-Bao Liu |
| author_sort | Yanan Liu |
| collection | DOAJ |
| description | A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular. |
| format | Article |
| id | doaj-art-9dca7979b9ce4c0a810f8cf0cf112371 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9dca7979b9ce4c0a810f8cf0cf1123712025-02-03T00:58:58ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66954616695461An Implementation of Lipschitz Simple Functions in Computer Algebra System SingularYanan Liu0Muhammad Ahsan Binyamin1Adnan Aslam2Minahal Arshad3Chengmei Fan4Hassan Mahmood5Jia-Bao Liu6Department of Management, Anhui Business and Technology College, Hefei 231131, Anhui, ChinaDepartment of Mathematics, GC University, Faisalabad, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology (RCET), Lahore, PakistanDepartment of Mathematics, GC University, Faisalabad, PakistanCollege of Modern Service Industry, Hefei College of Finance and Conmomics, Hefei 230601, ChinaDepartment of Mathematics, GC University, Lahore, PakistanSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaA complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.http://dx.doi.org/10.1155/2021/6695461 |
| spellingShingle | Yanan Liu Muhammad Ahsan Binyamin Adnan Aslam Minahal Arshad Chengmei Fan Hassan Mahmood Jia-Bao Liu An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular Complexity |
| title | An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular |
| title_full | An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular |
| title_fullStr | An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular |
| title_full_unstemmed | An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular |
| title_short | An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular |
| title_sort | implementation of lipschitz simple functions in computer algebra system singular |
| url | http://dx.doi.org/10.1155/2021/6695461 |
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