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1)  elementary symmetric expression
初等对称式
2)  elementary symmetric polynomial
初等对称多项式
1.
Taking the 5th,7th,and 11th harmonics eliminated for instance,the results show that the elementary symmetric polynomials can be exploited to reduce the degrees of the polynomials and the resultant theory can be utilized to eliminate variables.
文中以消除5、7、11次谐波为例,说明了在求开关角过程中如何应用初等对称多项式降幂和结式理论消元,并总结出应用多项式理论求解消谐方程的一般性步骤。
3)  inequality of elementary symmetricalpolynomial
初等对称多项式不等式
4)  elementary symmetric function
初等对称函数
1.
By using the theory of majorization and combining with the analysis methods,three known extensions of the classic Bernoulli s inequality are proved,and a new extension of this inequality is established by the Schur-concatity of the elementary symmetric functions and simple majoricotions.
此外,利用初等对称函数的Schur凹性和简单的控制关系建立了该不等式的一种新推广。
2.
The main result is:for I=(0,1),g(t)=1t-t,(x-1,…,x-n)∈I+n,E-m(x-1,…,x-n) is elementary symmetric function,denote s=∑ni=1x-i,m∈N,n≥m and n≥3,if 0<s≤1,then E-n[g(x-1),…,g(x-n)]≥C+m-n[g(s/n)]+m.
主要结果是 :对于I=(0 ,1) ,g(t) =1t-t,(x1 ,… ,xn)∈In,Em(x1 ,… ,xn)是初等对称函数 ,记s =∑ni=1xi, m∈N , n≥m且n≥ 3,若 0
5)  non-elementary symmetric function
非初等对称函数
6)  elementary symmetric mean
初等对称平均
1.
The second elementary symmetric mean and power mean of three positive numbers x,y,zare defined byP2Mrespectively.
P2(x)是三元二次初等对称平均,Ms(x)是s次幂平均。
补充资料:初等
1.犹初级。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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