radical参数化的代数和算法方面
Algebraic and algorithmic aspects of radical parametrizations
摘要:
在这篇文章中,代数结构的介绍,以研究各种定义的激进参数化(元组的功能,涉及复数,$n$变量,四个字段操作和激进的提取)。我们提供了算法,以implicitize激进的参数化,并检查是否激进的参数化可以reparametrize成一个合理的参数化。
英文摘要:
In this article algebraic constructions are introduced in order to study the variety defined by a radical parametrization (a tuple of functions involving complex numbers, $n$ variables, the four field operations and radical extractions). We provide algorithms to implicitize radical parametrizations and to check whether a radical parametrization can be reparametrized into a rational parametrization.
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