Simplifying Algebraic Numbers and Algebraic Functions

简化代数数和代数函数

• 批准号: 0511544
• 负责人: Mark van Hoeij
• 金额: $ 9万
• 依托单位: Florida State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0511544&HistoricalAwards=false
• 关键词: Simplifying; Algebraic; Numbers; Functions

Computer algebra software packages can compute exact solutions formany mathematical problems. However, the answers that such softwarepackages return are often not presented in their simplest form,especially when they involve algebraic numbers or algebraic functions.The goal of this project is to develop algorithms that can reducemathematical expressions to their simplest form. The focus will beon expressions that involve algebraic numbers or algebraic functions.Computer algebra software can be very valuable for research andeducation. However, such software often produces large complicatedanswers. This poses a difficult problem for the application of computeralgebra in education, but also in research, because it can be difficult toreduce a complicated expression to its simplest form. Doing such reductionautomatically will make computer algebra systems easier to use.

计算机代数软件包可以计算精确的解决方案形式数学问题。但是，此类软件返回的答案通常不会以最简单的形式呈现，尤其是当它们涉及代数数字或代数函数时。该项目的目的是开发可以将表达式的算法降低到最简单的形式。重点将涉及代数数字或代数函数的表达式。computer代数软件对于研究和教育非常有价值。但是，这种软件通常会产生大型复杂人。这对ComputeralGebra在教育中的应用也带来了一个困难的问题，但在研究中也构成了一个问题，因为这可能很困难地融入了最简单的形式。进行此类还原的方式将使计算机代数系统更易于使用。