MultivariateApart: Generalized partial fractions

We present a package to perform partial fraction decompositions of multivariate rational functions. The algorithm allows to systematically avoid spurious denominator factors and is capable of producing unique results also when being applied to terms of a sum separately. The package is designed to work in Mathematica, but also provides interfaces to the Form and Singular computer algebra systems.我们开发了一款可实现多元有理函数部分分式分解的工具包。该算法可系统性规避虚假分母因子，即便单独对求和式中的各项进行处理，也能够生成唯一的分解结果。本工具包专为在Mathematica环境中运行而设计，同时提供了与Form及Singular计算机代数系统的交互接口。