Algebraic Algorithms

该项目将调查该地区的 符号计算的代数算法。 具体地说， 它将继续进行代数简化工作。 这 研究将是对denominated嵌套的激进分子，和 Galois群的计算 该项目还将研究 多项式和整数之间的关系 在 在后几个领域，该项目将调查以下问题： 什么时候上下界从一个域转换为 另一个呢？ 该项目还将试图发展理论， 浮点多项式的符号计算。

The project will investigate the area of algebraic algorithms for symbolic computation. Specifically, it will continue work on algebraic simplication. This research will be on denesting nested radicals, and the computation for Galois groups. The project will also study the relationship between polynomials and integers. In the latter areas, the project will investigate such questions as: When do lower and upper bounds translate from one domain to the other? The project will also attempt to develop theory of symbolic computation for floating point polynomials.