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。
Through building the elementary model of Boltzmann distribution of electrostatic dust the author calculates the field-potential distribution of electrostatic dust, discusses the empirical formula of dust concentration in the condition of disruption and verifies the effect of the previous conclusion through the issued experiment report.
通过建立静电粉尘的Ｂｏｌｔｚｍａｎｎ分布初等模型计算静电粉尘的场势分布，讨论了击穿条件下粉尘浓度的经验公式，并通过已发表的实验报告证实了上述结论的有效性。
Improvement on the elementary transformation method of QR decomposition of matrix;
矩阵QR分解初等变换法的改进
Application of elementary transformation of matrix;
矩阵初等变换的一个应用
Finding bases for sum and intersection of subspaces in Pn using elementary transformations;
利用初等变换求P~n中子空间的和与交的基
A primary method and a scientific supposition method are used to present a rigorous mathematical derivation and analysis to the Maxwell distribution of molecular speed.
采用初等方法和科学猜想方法对麦克斯韦速率分布律进行了严格的数学推导分析,并得出了正确的结果。
Some interesting identities of parabola cylindrical functions D-n(z) are obtained by primary method according to the quality of parabola cylindrical functions D-n(z).
本文根据抛物线柱函数的性质,利用初等方法给出了一类关于抛物线柱函数的一组非常有趣的恒等式。
With the adoptation of properties of Laguerre polynomials and the primary method,some calculation formulas for Laguerre Polynomials and Γ Function are obtained.
运用初等方法和Laguerre多项式的性质得到了Laguerre多项式和Γ函数的计算公式。
The elementary method was used to give all positive primitive integer solutions of diophantine equation x~(2)+my~2=z~2,Upon which,the result proposed by WANG Yun-kui and SONG Jin-guo was improved.
用初等方法给出了m=4k+2且无平方因子时丢番图方程x2+m y2=z2的所有正的本原解,从而改进了王云葵、宋金国的结果。
Also,the elementary method is used to study the arithmetical property of generalized Cochrane Sum; and another identity is given which analogous to the identity of the generalized Dedekind Sum.
定义了一个类似于Dedekind和的新的和式广义Cochrane和,并利用初等方法研究了它的一个算术性质,给出并证明了类似于广义Dedekind和的恒等式的另一个恒等式。
By using the elementary methods, one of problems of suryanarayana is solved.
用初等方法解决了印度数学家Ｓｕｒｙａｎａｒａｙａｎａ提出的一个问题。