积分的

The paper studies the asymptotic behavior of "interior point" on the second mean value theorem for integrals when the length of integral interval tends to be infinite,and the asymptotic estimation formulas under very weak conditions are given.

讨论当积分区间长度趋于无穷大时，积分第二中值定理的"中间点"的渐近性态，在较弱的条件下，获得积分第二中值定理的"中间点"当积分区间长度趋于无穷大时的渐近估计式。

By integral transformation of basic equations, the stress and displacement expressions with unknown coefficients of elastic and viscoelastic materials were obtained in Laplace domain respectively, and introducing dislocation density functions, the singular integral equations were got according to the boundary conditions and interface connection conditions, further adopting Gauss integration and Gauss-Jacobi integration formula, the problem was reduced to algebraic equations, then it can be solved with the method of collocation dots in Laplace domain. Finally, the time response of dynamic stress intensity factor was calculated with the inverse Laplace integral transformation.

采用积分变换方法，得到Laplace域内弹性和粘弹性材料的应力和位移的含未知系数的表达式；引入位错密度函数，并通过边界条件和界面连接条件，导出反映裂纹尖端奇异性的奇异积分方程组，采用Gauss积分，并运用Gauss-Jacobi求积公式化奇异积分方程组为代数方程组，利用配点法进行求解；最后经过Laplace逆变换，求得动态应力强度因子的时间响应。

In the computation of aerodynamic forces, the present work is based on the work of Morino et al., but the following aspects are improved:(1) In computing the steady transonic aerodynamic load, the steady transonic nonlinear integral equation is solved by relaxation-iteration method in this thesis, instead of solving the time dependent transonic nonlinear integral equation, so that the computing time is saved greatly;(2) The influence coeifficients represented by volume integral are transformed to surface integral by using the Gaussian Theorem, so the analytical form of these coeifficients can be obtained and this leads to be more convenient to analyse and compile computer program;(3) The shock capturing method is used in every time step in present work, no shock moving term is added in the integral equation, so that it is more convenient and simpler to treat.

在气动力计算方面，本文基于Morino等人的工作，作了如下几方面的改进：（1）在计算定常跨音速流场（作为非定常绕流计算的初场）时，本文采用松驰迭代法直接求解跨音速定常非线性积分方程，而不是采用时间相关法求解非定常非线性积分方程，这样大大节省了计算机时；（2）将以体积分形式出现的影响系数化为面积分，并获得解析公式，这样便于分析和编写程序；（3）对运动的激波，本文通过在每一个时间步长上采用激波捕捉法而得到，而不是在积分方程中附加激波运动项，因而处理起来简单方便得多。

The new transform differs from the one previously derived by Bao (1999) by an additional term containing the derivative of the radial component of the orbital velocity associated with the long ocean waves.

新积分变换不同于Bao (1999)建立的积分变换，两者形式上区别在于新积分变换中包含了长波径向轨道速度一阶倒数项。

As defined above, the Riemann integral avoids this problem by refusing to integrate .

一个更好的途径是抛弃黎曼积分而采用勒贝格积分勒贝格积分。

This paper discusses the integrability of Riemann's integral theory systematically: By analyzing the common characters of a lot of integral calculus, it abstracts the concept of Riemann integral and discusses its integrability of Riemann's integral theory and then gets integrable functions.

摘要本文较为系统地讨论了积分可积性理论：通过分析诸多积分概念的共性，抽象定义了积分，详细讨论了其可积性理论，得出了可积函数类。

Study on proof of sum of products equality and its application

给出了积分上限函数在证明等式和不等式、计算累次积分、证明微分中值定理和积分中值定理中的应用。

We can lead out the equivalent border integral equation by Green the second equation,dividing the inner border in the liquid into a series strip of awls shell or cylindrical shell ,and solve border integral equation along different segment of border, then lead out border integral equation.

由Green第二恒等式导出等价的边界积分方程，将液体内边界分成一系列锥壳或柱壳状条，对边界积分方程进行分段积分，导出边界元格式方程。

The element-free Galerkin method was used for discretization of degree of freedom in space, the refinement integration method for time-domain integration, the modified variation principle to meet boundary conditions, the least-squares method for interpolating, and the Romberg algorithm for numerical integration.

该方法利用无网格方法进行空间自由度的离散，采用精细积分方法对时域积分，采用修正变分原理满足边界条件、最小二乘法进行插值，龙贝格算法进行数值积分。

In this paper, we designed a new Langmuir probe system based on integrate-and-dump network.

本文着重介绍了积分网络，对其工作原理，电路结构，提高探针信噪比做了详尽阐述，并以积分网络为基础设计出一套基于计算机的新型积分Langmuir探针系统，包括探针电源部分和数据采集部分。

The reasons of iron ions content overproof in grade Ⅱ desalting water system,such as variation water quality,contamination of regenerant , operation adjustment of pretreatment system and switching operation of bed were discussed.

对二级脱盐水系统中铁离子含量超标的原因，如来水水质发生波动、再生剂受到污染、预处理系统操作调整、床体运行切换等进行了论述。

You were hired to drum up new business, so go and do it.

公司雇你招徕新业务，你就做你的事好了。