一个多元多项式,如果把其中任何两个元互换,所得的结果都与原式相同,则称此多项式是关于这些元的对称多项式。x2+y2+z2,xy+yz+zx都是关于元x、y、z的对称多项式。
3 对称多项式(Symmetric polynomials) 3.1 对称多项式的概念[3](Concept of symmettri polynomials) 定义1 若数域P上的n元多项式f(x1; ¢ ¢ ¢ ; xn)任意交换两个变量时...
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本文将用初等的方法,建立几个关于初等对称多项式的不等式。
A few of inequalities about elementary symmetrical polynomial will be established in the following in an elementary way.
该算法利用这组新的递推关系,提出了分别适用于对称和反对称多项式的算法。
By using these new recursive relations, we establish the new algorithm in the form of both symmetric and antisymmetric polynomials.
利用这个结果并借助于计算机可以给出一大批齐次对称多项式不等式的可读性机器证明。
By means of this result and computer, the readable machine proofs for a lot of the inequalities of homogeneous and symmetric polynomials can be obtained.
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