1) symmetric quintic forms

5次对称形式
1.
In this paper,based on the positive root discriminant sequence of polynomial with symbolic coefficients,an explicit criterion of positivity on R_+~n is presented for symmetric quintic forms,and accordingly an efficient algorithm is derived from the criterion.
利用参系数多项式正实根的判别序列,给出了多变元5次对称形式在R_+~n上取非负值的显示判定方法。
2) 5-letters symmetric group

5次对称群
1.
Using Lagrange s theorem and the concept of n-letters symmetric group,some of subgroups of 5-letters symmetric group S5 are proved.
使用Lagrange定理及n次对称群的基本概念,证明了5次对称群S的一些子群的构造。
4) homogeneous symmetrical expression

次齐对称式
5) unsymmetric form of duality

对偶非对称形式
6) Homogeneous and symmetric polynomial

齐次对称多项式
1.
By means of majorized inequalities and mathematical induction, the well known Chebyshev s inequality is generalized to homogeneous and symmetric polynomials of degree m (e.
本文借助于控制不等式及数学归纳法 ,将著名的切比雪夫不等式推广到m次一般齐次对称多项式上 (如文中定理及引理 7) ,并将此结果用于对称平均等 。
补充资料:A1-Cu-Co合金中十次对称准晶单晶体及其衍射图
A1-Cu-Co合金中十次对称准晶单晶体及其衍射图
‘ Al Cu—Co合金中十次对称准晶堕晶体e1)及其衍射圈(z) 中国科学盹垒禹研览听供稿
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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