These sum problems are all difficult for using elementary method and analysis method, but we can easily solve these sum problems by using the probability method.
而这几个公式的求和问题不论是用初等方法或分析方法都是比较困难的，但用概率的方法却比较容易解决。
The main purpose of this paper is to give a mean value estimate of L-function by an elementary method.
本文的主要目的是利用初等方法给出l—函数的一个均值估计。
Using an elementary method, we illustrate how a-3-manifold can be embedded into a 5-space in this note.
本文用一个相当初等的方法，说明了如何把一个3维流形嵌入到5维空间中去。
Josephson formulas are derived by an elementary method, Josephson effects and their simple applications are introduced.
用初等方法导出了约瑟夫森公式，阐述了约瑟夫森效应及其简单应用。
According to some usual inequality, a group of interesting inequality is obtained by adopting differentiation and elementary method.
由一些常见不等式出发，采用微分法及初等方法得到了一组有趣的不等式。
The principle of COM technology was introduced, and the elementary method of using ATL to realize the COM module in VC was described.
简单介绍了COM组件技术的原理，并且介绍了在VC中使用ATL实现COM组件的基本方法。
By very elementary method, it is proved that every continuous differentiable function defined in a perfect set has differentiable extension.
本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓。
The general formula of the equivalent resistance of ladder type network are achieved with elementary method, and some relevant problems are discussed.
用完全初等的方法给出了梯形电阻网络等效电阻的通项公式，并对相关问题进行了讨论。
The normal form of a kind of analysis function is proved with a simple and elementary method by using the properties of semiquasihomogeneous functions.
运用拟齐次函数的性质，给出了一类解析函数正规型的一个简单的初等的证明方法。
The cage having simpler structure is selected and the principle testing for its dynamic balance is carried out to determine elementary method of cage dynamic balance.
作者选择结构较为简单的保持架，对其动平衡进行原理性试验，以确定保持架动平衡的基本方法。
On the basis of requesting another factorization of an integer in only one way, two interesting asymptotic formulas on cub complements are obtained through the elementary method.
在通过对任一正整数提出另外一种唯一分解式的基础上，利用初等方法得到了关于立方补数的几个有趣的渐近公式。
The properties of Bell number in proper order are studied with the use of elementary method, some identities involving the sum of product of Bell number in proper order are obtained.
利用初等方法研究了有序贝尔数的性质，给出了关于有序贝尔数的一组恒等式。
The properties of Bell number in proper order are studied with the use of elementary method, some identities involving the sum of product of Bell number in proper order are obtained.
利用初等方法研究了有序贝尔数的性质，给出了关于有序贝尔数的一组恒等式。
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