我们用从负无穷到正无穷的积分公式F(x)*x*dx,你看到的，这是相同的事，因为积分是类似的求和过程。
We have the integral from minus infinity to plus infinity of F(x)*x*dx, and that's really--you see it's the same thing because an integral is analogous to a summation.
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。
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.
股份的决定将首次基于一个专门制定以反映世界银行集团的需求和任务的公式：持股情况不但要反映经济实力，而且也要依据对我们为世界上最贫穷国家设立的基金提供捐赠的情况。
For the first time, shareholdings would be based on a formula specifically developed to reflect the needs and mandates of the World Bank group.
本文试应用求解一阶线性微分方程的方法导出几类常见的函数项级数的求和公式。
The sum formulas of several kinds of ordinary series with function term are deduced by using the method of solving linear differential equation.
给出了关于这两个数列的两个求和公式。
Two sum formulas are given concerning these two numerical arrays.
根据能量原理，推导出了一个求解等效总体损伤张量的公式，适用于多个损伤张量求和。
A formula to solve the equivalent global damage tensor by summing up the damage tensors of individual joint sets is derived based on the energy principle.
利用初等方法给出了一类包含第一类契贝谢夫多项式——盖根堡多项式的积的求和公式。
Sum formula for a kind of involving the first species of Chebyshev-Gegenbauer LPolynomials are presented by using primary methods.
然后，应用离散方法将双重积分转化为双重求和，得出了可用于船舶空间磁场工程计算的实际公式，具有实用价值。
Then, double integration is transformed into double sum through discrete methods. And finally, we get the formula in engineering to solve such calculation with great importance in practice.
在文献［］［］［］得结论基础上，又得到了几个基本超几何级数的求和公式。
On basis of the results of reference, in this paper, the author got the summation formula of several basic bypergeometric series.
本文运用基本超几何级数求和的一个简单算法，求得一些基本超几何级数的求和公式。
By using a simple algorithm for the summation of basic hypergeometric series, summation formulas for some basic hypergeometric series are obtained.
给出了关于这两个数列的两个求和公式。
Two summation formulas are offered with regard to the two sequences.
为了克服级数收敛缓慢的缺点，提出级数求和公式。
In order to overcome the demerit of the slowness of the series convergence, we put forward the series summation formula.
分析了防爆装置的结构特点和工作原理，提出了设计要求和有关计算公式。本文还简要介绍了机轮防爆装置的应用情况。
The construction and working principle of the anti-explosion device are analyzed. The design requirements and calculation formulas are proposed. The applications of these devices are presented.
导出求和公式并给出选择适当波函数的规则。
The general summation formulas and the rule for finding the suitable wave functions are given.
分析了柴油机喷雾场光学测量中关键参数的基本要求和取值范围与测量系统的主要误差来源及计算公式。
The basic requirements and the practical value range of the key parameters in the optical measurement of diesel fuel spray are analyzed.
以等比数列求和公式课堂教学过程为例，探讨发现教学法在数学教育中的应用问题。
Taking the teaching process of geometric series as an, example, the paper probes into the problems of the application of discovery teaching method in mathematics teaching.
给出了全息图条纹对比度、记录介质的分辨率要求和可允许的微粒最大位移的普遍公式。
The universal formulae of the fringe visibility, film resolution requirement and maximum allowable displacement of a particle are given.
第二章：主要介绍了基本超几何级数的基本知识，包括基本概念，一些重要的求和公式以及变换公式等。
In Chapter 2, we introduce the basic knowledge of the basic hypergeometric series, including basic concepts, some summation formulas, transformation formulas, etc.
通过向各安全节点分配连续的、唯一的节点标识，并将标识嵌入到消息中，该算法可以利用求和公式实现通信终止判定。
On the message-passing trees, a continuously and unique identifier was allocated to every secure node, and these IDs were embedded into messages when nodes sending information.
通过向各安全节点分配连续的、唯一的节点标识，并将标识嵌入到消息中，该算法可以利用求和公式实现通信终止判定。
On the message-passing trees, a continuously and unique identifier was allocated to every secure node, and these IDs were embedded into messages when nodes sending information.
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