GPL Maxima中的张量操作
Tensor manipulation in GPL Maxima
摘要：
GPL Maxima是一个基于DOE-MACSYMA的开源计算机代数系统。GPL Maxima包含两个来自DOE-MACSYMA的张量操作包，但它们处于各种失修状态。两个包中的一个CTENSOR实现了基于组件的张量操作;另一个ITENSOR将张量符号视为不透明的，根据它们的索引属性对其进行操作。本文件介绍了这些软件包的发现状态、使这些软件包再次充分发挥功能所需的步骤以及为使其更加通用而实施的新功能。第三个软件包ATENSOR也被实现;与商业版MACSYMA中同名的软件包完全兼容，ATENSOR实现了抽象张量代数。
英文摘要：
GPL Maxima is an open-source computer algebra system based on DOE-MACSYMA. GPL Maxima included two tensor manipulation packages from DOE-MACSYMA, but these were in various states of disrepair. One of the two packages, CTENSOR, implemented component-based tensor manipulation; the other, ITENSOR, treated tensor symbols as opaque, manipulating them based on their index properties. The present paper describes the state in which these packages were found, the steps that were needed to make the packages fully functional again, and the new functionality that was implemented to make them more versatile. A third package, ATENSOR, was also implemented; fully compatible with the identically named package in the commercial version of MACSYMA, ATENSOR implements abstract tensor algebras.
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