积分的

The non_singular fictitious boundary integral equations are derived by using the fundamental solutions and the singular points exterior to domain techniques.

利用基本解和域外奇点技术导出了弹性力学平面问题的非奇异虚边界积分方程，然后利用虚边界元－边界子段法对导出的积分方程进行数值求解。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

This limit is called the surface integral with respect to area (or the surface integral of the first type) of over and is denoted by

如果时，黎曼和的极限存在，则称此极限为在曲面上对面积的曲面积分或第一类曲面积分，记作

In using the field expression with Fourier integral form to calculate the performance of SLIM, the fast Fourier transformation algorithm is first employed in this dissertation to compute the Fourier integral.

在应用傅里叶积分形式的场量表达式计算单边直线感应电机的特性时，本文首次引入快速傅里叶变换算法计算傅里叶积分。

Using difference method, the first-order and the second-order differential equations of fractional derivative can become the first-order ordinary differential equation, and the high precision direct integration can be used for the solution.

所论方法首先引入差分格式，将含有分数阶导数的一阶和二阶微分方程变为一阶的常微分方程，然后再用精细积分方法逐步积分进行求解。

In this paper,we study the boundedness of multilinear commutators of singular integral operators and fractional integral operators with smooth functions.

本文主要研究奇异积分算子和分数次积分算子与光滑函数生成的多线性交换子的有界性问题。

In chapter 1,we simply introduce the development in the study of the boundedness of multilinear commutators of singular integral operators and fractional integral operators.

第2章讨论奇异积分算子和分数次积分算子与Besov函数生成的交换子在L~d上的映射性质。

By using the Copson method, one of these equations is transformed into a Fredholm integral equation of the second kind to obtain the solution. Furthermore, the intensity factors, the total energy release rate and the mechanical strain energy release rate are obtained and compared with the classical results without considering the electric field gradient effects.

采用了Copson方法，将其中一组对偶积分方程转化为第二类Fredholm 积分方程来进行数值求解，得到了裂纹尖端的强度因子、总能量释放率和机械应变能释放率，并与经典理论中的结果进行了比较。

To obtain the unknown intermediate vector function needs to solve a Fredholm integral equation of the first kind, the solution of which can only be determined with a difference of a vector proportional to the normal of the boundary and its integration on the boundary must zero.

可是要求出该积分表达式中待定的边界上的向量密度函数要导致求解第一类Fredholm 积分方程。

Based on Fresnel Kirchhoff diffraction integral equation, a mathematical model on the diffraction of nonlinear optical media to Gaussian beam is established.

从菲涅耳基尔霍夫衍射积分公式出发，建立了非线性光学介质对高斯光束的衍射模型，通过数值积分，得到了与实验现象符合的计算结果。

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。