Abstract

Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within the Julia ecosystem like they work within the Python ecosystem. There are libraries for Julia that cover the majority of scientific and engineering computations demands. The aim of this paper is to combine the usage of Julia framework for numerical computations and for symbolic computations in mathematical modeling problems. The main functional domains determining various variants of the application of computer algebra systems are described. In each of these domains, generic representatives of computer algebra systems in Julia are distinguished. The conclusion is that it is possible (and even convenient) to use computer algebra systems within the Julia ecosystem.

中文翻译：

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朱莉娅的计算机代数

摘要

最近，Julia逐渐取代了用于科学和工程计算的主要编程语言的位置。一些用户希望像在Python生态系统中一样在Julia生态系统中完全工作。Julia的图书馆涵盖了大多数科学和工程计算需求。本文的目的是在数学建模问题中结合使用Julia框架进行数值计算和符号计算。描述了确定计算机代数系统应用的各种变体的主要功能域。在这些领域的每一个中，Julia中的计算机代数系统的一般代表都是有区别的。结论是，有可能（甚至很方便）在Julia生态系统内使用计算机代数系统。