论文标题

在无界情况下的混合三角 - 分析性不平等的自动证明

Automated Proof of Mixed Trigonometric-polynomial Inequalities in the Unbounded Case

论文作者

Chen, Shiping, Ge, Xinyu

论文摘要

混合的三角分析类别经常在物理,数值分析和工程中经常发生,算法已经提议确定其标志在(0,{pi}/2]上。本文提出了一个将间隔扩展到(0, +{\ inf})的过程。三角分解。

Mixed trigonometric-polynomials frequently occur in applications in physics, numerical analysis and engineering, the algorithm has been already proposed to determine its sign on (0,{pi}/2]. This paper proposes a procedure to extend the interval to (0, +{\inf}). Such generalization is by no means trivial, for the process depends on boundedness of roots and square-free factorization of mixed trigonometric-polynomials.

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