计算机代数能从代数枷锁中解放出来吗？
Can Computer Algebra be Liberated from its Algebraic Yoke ?
摘要：
到目前为止，计算机代数的范围一直不必要地限制在精确代数方法。其可能的扩展近似分析方法进行了讨论。提出了函数式分析和符号式编程的纠缠角色，特别是函数式和转换式范式。在未来，代数算法可以构成扩展的符号操作系统的核心，包括符号近似的原语。
英文摘要：
So far, the scope of computer algebra has been needlessly restricted to exact algebraic methods. Its possible extension to approximate analytical methods is discussed. The entangled roles of functional analysis and symbolic programming, especially the functional and transformational paradigms, are put forward. In the future, algebraic algorithms could constitute the core of extended symbolic manipulation systems including primitives for symbolic approximations.
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。
