1) 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
2) non-elementary symmetric function
非初等对称函数
3) the 1￣(th) elementary Symmetric function of the principal radii of curvature
主曲率半径的第l初等对称函数
4) elementary functions
初等函数
1.
In this paper, the convergence of coordinate rotating algorithm, a united algorithm for computing elementary functions, has been proved by expanding the definition of normal series.
本文通过推广正规序列的定义,得到一个不等式,由此证明了统一计算初等函数数值的坐标旋转法的收敛性,作了误差估计,并拓广了所计算的函数范围,成为快速计算所有初等函数的统一算法。
2.
Functions discussed in this paper are not limited to non-elementary functions, and techniques of discriminant analysis is presented.
本文讨论了分段函数不一定都为初等函数,并给出了判别法。
3.
In this paper,a united algorithm for computing elementary functions has been exp anded to compute more elementary functions.
本文拓广了初等函数统一算法 ,并证明了算法的收敛性 ,作了误差估计。
5) elementary function
初等函数
1.
On continious problems of elementary function;
关于初等函数的连续问题
2.
The contradictory phenomenon of the elementary function and partition function appearing in mathematics teaching caused the concept to be chaotic and the author hoped that the mathematics education circles could provide more appreciate and definite definitions.
指出了初等函数和分段函数在数学实践中出现的矛盾现象及引起的概念混乱,希望数学界及数学教育界给出更明确、更恰切的定义。
6) elementary symmetric expression
初等对称式
补充资料：初等小学
1.见"初级小学"。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条