范德蒙德行列式的应用

Applications of Vandermonde Determinant

摘要: 多元多项式在代数学中不但占有重要的地位，而且具有重要的作用。判断两个多元多项式是否相等是被研究的内容。代数学中有很多内容均涉及范德蒙德(Vandermonde)行列式，本文利用范德蒙德行列式给出了两个不同表达形式的多元多项式相等的应用。

Abstract: Multi-variable polynomials are very essential and play an important role in algebra. Determining whether two multi-variable polynomials are equal is what is being studied. Many contents in advanced algebra are related to Vandermonde determinant. In this note, an application is given to determine two multi-variable polynomials with different expressions to be equal by using the Vandermonde determinant.