Based on the above consideration,and according to the character of some elementary functions and basic algebra inequality,some elementary proof methods on Kantorovich elementary proof methods about Kantorovich inequality are proposed.
Kantorovich不等式在许多学科中有着重要作用,也有好几种表达方式,其证明方法也是多种多样,但有些方法需要较深的数学理论知识,使初学者不易掌握,感到有些困难,据此考虑,提出了一些利用初等函数性质和基本代数不等式的证明方法,并将已有文献中Kantorovich不等式的积分形式作了进一步推广,力求使其更具有应用的广泛性,最后介绍了Kantorovich不等式的应用情况。
Two kinds of elementary function that wi(x) and u i(x)(i = 1,2,…,n) were constructed.
构造出两类基函数wi(x)和u i(x)(i=1,2,…,n),利用这两类基函数构造出定义于开区域D=(x1,x2)∪(x2,x3)∪…∪(xn,xn+1)内分段函数的初等表达式和定义于闭区域[x1,xn+1]上的分段函数的初等表达式,并对这两类分段函数的初等性进行了研究,得到了一些重要结论。
The procedure is optimal under elementary equivalence.
运用EhrenfeuchtGames理论给出原子布尔代数理论的一个判定过程及其复杂度，并说明这个过程在初等等价意义下是最优的。
The following theorems are proved: Rational function field ■(x) and C(x) with conjugate concept are not elementary equivalence.
<正> Jensen在[1]中提出了一个问题:■(x)与C(x)是否初等等价,其中■是全体代数数构成的数域,C是复数域,■(x)与C(x)分别是■与C上的一个变数x的有理函数域。
"elementary, secondary and higher education"
初等、中等和高等教育
primary algorithm
基本算法,初等算法
An Elementary Proof to the Kelisky-Rivin Theorem;
Kelisky-Rivin定理的初等证明
Research on the Elementary Properties and the Construction on the Elementary Expression of the Step Function
分段函数的初等性研究及其初等表达式的构造
4R instructional design on elementary mathematics research;
《初等数学研究》四R教学设计初探
INITIAL RESEARCH ON TEACHING REFORM OF《ELEMENTARY ALGEBRA RESEARCH》;
《初等代数研究》课程教学改革初探
The high court judge quashed the decision of the lower court.
高等法院法官驳回了初等法院的判决。
Proofs of Schwarz Inequality by Using Methods in Elementary Mathematics;
利用初等数学的方法证明Schwarz不等式
An Elementary Proof to a Basic Inequality;
一个基本不等式的初等证明(英文)
The Solution of Some Elemetary Mathematics Problems in Viewpoints of Higher Mathematics;
用高等数学观点看某些初等数学问题
An Elementary Proof of Hlder Inequality and Its Applications
Hlder不等式的初等证明及其应用
Teaching Research on the New Textbook "Preliminary Elementary Number Theory"
关于高中新教材《初等数论初步》的教学研究
are there any private schools working in the field of elementary and secondary education?
有没有从事初等教育和中等教育的私立学校?
On Transition from Elementary Mathematics Teaching To Higher Mathematics Teaching;
从初等数学向高等数学过渡的教学思考
The Application of Advanced Mathematics in Elementary Math;
用高等数学方法解决初等数学中的某些问题
The Directive Functions of Group-theoretical viewpoint of Higher Geometry to Elementary Geometry;
高等几何的群论观点对初等几何的指导作用
Research on the Directive Functions of Higher Geometry Assignments to Elementary Geometry;
高等几何命题对初等几何的指导作用探讨
came with the snow, and what seclusion!
初雪飘落时，何等的幽静！
