Використання системи комп’ютерної алгебри maple для розв’язання комбінаторних задач
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Файли
Дата
2017
Автори
Бедратюк, Л.П.
Бедратюк, Г.І.
Bedratiuk, L.P.
Bedratiuk, A.I.
Назва журналу
Номер ISSN
Назва тому
Видавець
Хмельницький національний університет
Анотація
Надано опис основних команд пакетів сombinat та genfunc системи комп’ютерної алгебри Maple.
Розглянуто способи розв’язання деяких типових комбінаторних задач в Maple. Зокрема розглянуті команди для
наступних розділів: перестановки, комбінації, розміщення, розбиття, рекурентні співвідношення, породжуючі
функції, обчислення сум. Розглянуті пакети пропонується використовувати в ході вивчення дисциплін:
дискретна математика, дискретні структури, алгоритми та структури даних, комп’ютерна алгебра та
символьні обчислення
The last decade has seen active penetration of computer algebra systems in the educational process that allows us to create innovative learning technologies, including mathematical teaching in universities. One of the most popular computer algebra systems is the system Maple, company Waterloo Maple, which successfully combines symbolic manipulation, computational mathematics, powerful graphics and easy programming language. Because of its convenience and versatility Maple system became an indispensable tool of research for many scientists, engineers and students. Almost every section of modern mathematics in Maple developed some specialized packages. However, at present these technologies, despite their effectiveness and visibility, for various reasons, Is not common in the learning process, which is not conducive to the integration of higher education in Ukraine. The purpose of this paper is to develop a common approach to the use of computer algebra system Maple to solve some common problems of combinatorics, and which can be used in the educational process. The paper describes the packages combinat and genfun and illustrated by examples of their use for solving typical problems arising in combinatorics. The article can be useful in the study of some sections of discrete mathematics, discrete structures, algorithms and data structures.
The last decade has seen active penetration of computer algebra systems in the educational process that allows us to create innovative learning technologies, including mathematical teaching in universities. One of the most popular computer algebra systems is the system Maple, company Waterloo Maple, which successfully combines symbolic manipulation, computational mathematics, powerful graphics and easy programming language. Because of its convenience and versatility Maple system became an indispensable tool of research for many scientists, engineers and students. Almost every section of modern mathematics in Maple developed some specialized packages. However, at present these technologies, despite their effectiveness and visibility, for various reasons, Is not common in the learning process, which is not conducive to the integration of higher education in Ukraine. The purpose of this paper is to develop a common approach to the use of computer algebra system Maple to solve some common problems of combinatorics, and which can be used in the educational process. The paper describes the packages combinat and genfun and illustrated by examples of their use for solving typical problems arising in combinatorics. The article can be useful in the study of some sections of discrete mathematics, discrete structures, algorithms and data structures.
Опис
Ключові слова
комбінаторика, Maple, рекурентні співвідношення, породжуючі функції, біноміальні коефіцієнти, розбиття, перестановки, combinatorics, Maple, permutation, partitions, combinatorial numbers, recurrence relations, combinatorial sum, generating function
Бібліографічний опис
Бедратюк, Л.П. Використання системи комп'ютерної алгебри Мaple для розв'язання комбінаторних задач [Текст] / Л. П. Бедратюк, Г. І. Бедратюк // Вісник Хмельницького національного університету. Технічні науки. – 2017. – №2. – С. 234-239.