System of hypercpomplex operations in Maple
The program-algorithmic system of operations on hypercomplex numbers is considered. The most important procedures included in the system, its structure, listing of programs, and examples of their application are presented.Operating with hypercomplex numbers, especially in symbolic form, causes consi...
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Інститут проблем реєстрації інформації НАН України
2017
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drspiprikievua-article-1265282019-12-30T13:06:09Z System of hypercpomplex operations in Maple Система гиперкомплексных операций в Maple Система гіперкомплексних операцій у Maple Kalinovsky, J. А. Boyarinova, Y. E. Sukalo, A. S. Khitsko, J. V. hypercomplex numerical system procedure computer algebra operation Maple гиперкомплексная числовая система процедура компьютерная алгебра операция Maple гіперкомплексна числова система процедура комп’ютерна алгебра операція Maple The program-algorithmic system of operations on hypercomplex numbers is considered. The most important procedures included in the system, its structure, listing of programs, and examples of their application are presented.Operating with hypercomplex numbers, especially in symbolic form, causes considerable difficulties associated with their multidimensionality. Therefore, for successful operation with such objects, specialized software-algorithmic systems are required. The most suitable ones for creating this type of system are the languages of symbolic calculations. Moreover, many of them have the means to operate with some hypercomplex number systems, for example, with complex numbers, quaternions, Clifford algebras, etc.From the existing numerous languages of computer algebra, the most common are MatLab, Mathcad, Mathematica and Maple. The authors in their work chose the computer algebra system Maple, as one of the most developed, accessible and easily mastered.Since the Maple computer algebra system allows the creation of private packets of various computational procedures, the algorithmic-software complex of hypercomplex computations (hereinafter — ASC) is a packet having its own identifier. ASC can be called up, included to the program and transported to other computers. From the ASC procedures it is possible to generate calculation programs using the tools of the algorithmic language Maple.The ASC can be installed on any computer with the Windows operating system and Maple computer computing system to be no lower than the 5th version.The ASC is open for replenishment with new procedures and editing of existing procedures by any user of Maple. Рассмотрена алгоритмически-программная система гиперкомплексных операций, а также наиболее важные процедуры, входящие в эту систему, и ее структура. Приведены листинги программ и примеры их применения. Розглянуто алгоритмічно-програмну систему гіперкомплексних операцій, а також найбільш важливі процедури, що входять до цієї системи, та її структуру. Наведено лістінги програм і приклади їхнього застосування. Інститут проблем реєстрації інформації НАН України 2017-06-27 Article Article application/pdf http://drsp.ipri.kiev.ua/article/view/126528 10.35681/1560-9189.2017.19.2.126528 Data Recording, Storage & Processing; Vol. 19 No. 2 (2017); 11–23 Регистрация, хранение и обработка данных; Том 19 № 2 (2017); 11–23 Реєстрація, зберігання і обробка даних; Том 19 № 2 (2017); 11–23 1560-9189 uk http://drsp.ipri.kiev.ua/article/view/126528/121489 Авторське право (c) 2021 Реєстрація, зберігання і обробка даних |
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Data Recording, Storage & Processing |
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| datestamp_date |
2019-12-30T13:06:09Z |
| collection |
OJS |
| language |
Ukrainian |
| topic |
hypercomplex numerical system procedure computer algebra operation Maple |
| spellingShingle |
hypercomplex numerical system procedure computer algebra operation Maple Kalinovsky, J. А. Boyarinova, Y. E. Sukalo, A. S. Khitsko, J. V. System of hypercpomplex operations in Maple |
| topic_facet |
hypercomplex numerical system procedure computer algebra operation Maple гиперкомплексная числовая система процедура компьютерная алгебра операция Maple гіперкомплексна числова система процедура комп’ютерна алгебра операція Maple |
| format |
Article |
| author |
Kalinovsky, J. А. Boyarinova, Y. E. Sukalo, A. S. Khitsko, J. V. |
| author_facet |
Kalinovsky, J. А. Boyarinova, Y. E. Sukalo, A. S. Khitsko, J. V. |
| author_sort |
Kalinovsky, J. А. |
| title |
System of hypercpomplex operations in Maple |
| title_short |
System of hypercpomplex operations in Maple |
| title_full |
System of hypercpomplex operations in Maple |
| title_fullStr |
System of hypercpomplex operations in Maple |
| title_full_unstemmed |
System of hypercpomplex operations in Maple |
| title_sort |
system of hypercpomplex operations in maple |
| title_alt |
Система гиперкомплексных операций в Maple Система гіперкомплексних операцій у Maple |
| description |
The program-algorithmic system of operations on hypercomplex numbers is considered. The most important procedures included in the system, its structure, listing of programs, and examples of their application are presented.Operating with hypercomplex numbers, especially in symbolic form, causes considerable difficulties associated with their multidimensionality. Therefore, for successful operation with such objects, specialized software-algorithmic systems are required. The most suitable ones for creating this type of system are the languages of symbolic calculations. Moreover, many of them have the means to operate with some hypercomplex number systems, for example, with complex numbers, quaternions, Clifford algebras, etc.From the existing numerous languages of computer algebra, the most common are MatLab, Mathcad, Mathematica and Maple. The authors in their work chose the computer algebra system Maple, as one of the most developed, accessible and easily mastered.Since the Maple computer algebra system allows the creation of private packets of various computational procedures, the algorithmic-software complex of hypercomplex computations (hereinafter — ASC) is a packet having its own identifier. ASC can be called up, included to the program and transported to other computers. From the ASC procedures it is possible to generate calculation programs using the tools of the algorithmic language Maple.The ASC can be installed on any computer with the Windows operating system and Maple computer computing system to be no lower than the 5th version.The ASC is open for replenishment with new procedures and editing of existing procedures by any user of Maple. |
| publisher |
Інститут проблем реєстрації інформації НАН України |
| publishDate |
2017 |
| url |
http://drsp.ipri.kiev.ua/article/view/126528 |
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