Maple中的多元幂级数
Multivariate Power Series in Maple
摘要：
我们提出了MultivariatePowerSeries，这是Maple 2021中引入的Maple库，提供了多种方法来研究此类序列上的形式多元幂级数和单变量多项式。此库提供了简单易用的用户界面。它的实现依赖于惰性评估技术，并利用Maple的面向对象编程功能。暴露的方法包括维尔斯特拉斯准备定理和因式分解通过亨塞尔引理。通过与软件同行的实验比较，证明了计算性能。
英文摘要：
We present MultivariatePowerSeries, a Maple library introduced in Maple 2021, providing a variety of methods to study formal multivariate power series and univariate polynomials over such series. This library offers a simple and easy-to-use user interface. Its implementation relies on lazy evaluation techniques and takes advantage of Maple's features for object-oriented programming. The exposed methods include Weierstrass Preparation Theorem and factorization via Hensel's lemma. The computational performance is demonstrated by means of an experimental comparison with software counterparts.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
