The New Scramble for Faure Sequence Based on Irrational Numbers
This article intends to review quasirandom sequences, especially the Faure sequence to introduce a new version of scrambled of this sequence based on irrational numbers, as follows to prove the success of this version of the random number sequence generator and use it in future calculations. We intr...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6696895 |
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| author | Ali Mogharrabi O. Behrooz Fathi V. M. H. Behzadi R. Farnoosh |
| author_facet | Ali Mogharrabi O. Behrooz Fathi V. M. H. Behzadi R. Farnoosh |
| author_sort | Ali Mogharrabi O. |
| collection | DOAJ |
| description | This article intends to review quasirandom sequences, especially the Faure sequence to introduce a new version of scrambled of this sequence based on irrational numbers, as follows to prove the success of this version of the random number sequence generator and use it in future calculations. We introduce this scramble of the Faure sequence and show the performance of this sequence in employed numerical codes to obtain successful test integrals. Here, we define a scrambling matrix so that its elements are irrational numbers. In addition, a new form of radical inverse function has been defined, which by combining it with our new matrix, we will have a sequence that not only has a better close uniform distribution than the previous sequences but also is a more accurate and efficient tool in estimating test integrals. |
| format | Article |
| id | doaj-art-92a839ed1eeb43b4b54f640cf0ebd01c |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-92a839ed1eeb43b4b54f640cf0ebd01c2025-08-20T03:20:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66968956696895The New Scramble for Faure Sequence Based on Irrational NumbersAli Mogharrabi O.0Behrooz Fathi V.1M. H. Behzadi2R. Farnoosh3Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Statistics, University of Guilan, Rasht, IranDepartment of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran, IranThis article intends to review quasirandom sequences, especially the Faure sequence to introduce a new version of scrambled of this sequence based on irrational numbers, as follows to prove the success of this version of the random number sequence generator and use it in future calculations. We introduce this scramble of the Faure sequence and show the performance of this sequence in employed numerical codes to obtain successful test integrals. Here, we define a scrambling matrix so that its elements are irrational numbers. In addition, a new form of radical inverse function has been defined, which by combining it with our new matrix, we will have a sequence that not only has a better close uniform distribution than the previous sequences but also is a more accurate and efficient tool in estimating test integrals.http://dx.doi.org/10.1155/2021/6696895 |
| spellingShingle | Ali Mogharrabi O. Behrooz Fathi V. M. H. Behzadi R. Farnoosh The New Scramble for Faure Sequence Based on Irrational Numbers Advances in Mathematical Physics |
| title | The New Scramble for Faure Sequence Based on Irrational Numbers |
| title_full | The New Scramble for Faure Sequence Based on Irrational Numbers |
| title_fullStr | The New Scramble for Faure Sequence Based on Irrational Numbers |
| title_full_unstemmed | The New Scramble for Faure Sequence Based on Irrational Numbers |
| title_short | The New Scramble for Faure Sequence Based on Irrational Numbers |
| title_sort | new scramble for faure sequence based on irrational numbers |
| url | http://dx.doi.org/10.1155/2021/6696895 |
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