函数的积分

Based on the complex variable theory of sectioally holomorphic function, Cauchy type integral and Riemann boundary problem, the solution is derived from relationship of the sections.

通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合，求得各分区之间的解析关系，获得了问题的温度场。

By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数的方法，将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解。

An analytical model describing the dispersion with an exponential dispersion function is built, which be transformed into CDE problem with variable coefficient, using hypergeometric function and inversion technique, an analytical solution for two type boundary conditions is obtained.

文章对于具有指数弥散函数的弥散过程建立了对流-弥散微分方程模型，应用积分变换将问题转化为具有变系数的常微分方程问题；对于两种类型的边界条件，应用超几何函数和反演技术得到了问题的解析解，并分析了指数弥散过程和常数弥散过程的不同性质。

Using the concept of locally mean inte-grability which we give,we investigate the differentiability of the integral primitives.

对于模糊数值函数的导数问题进行了较为深入的探讨，尤其是积分原函数的可导性问题。

We can take Fourier transformation or Laplace transformation towards try to of square distance both ends according to the their lines property, differential calculus property and integral calculus property, its conversion for act for of elephant function square distance, from this algebra square the distance beg an elephant function, then take Fourier negative transformation or Laplace negative transformation have to originally square distance of solution.

我们可以根据他们的线性性质，微分性质和积分性质，对欲求的方程两端取Fourier变换或Laplace变换，将其转化为象函数的代理方程，由这个代数方程求出象函数，然后再取Fourier逆变换或Laplace逆变换就得出原来方程的解。

harmonic function ; Liouville theorem ; Dirichlet integral ; relative compact domain

并得到 次调和函数的Liouville定理和具有有限的 Dirichlet积分的次调和函数的性质。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

The 3-D thermal weight function method was proposed, in which the works ussually done for finite element stress analyses for every time instants could be avoided, and the transient stress intensity factor of a body subjected to thermal shock can be calculated through direct integration of products of temperature fields and TWF.

在国际上首次以三维热权函数法为核心，绕过对每一时刻有限元应力分析这一步，直接通过温度场与热权函数的乘积的积分来计算热冲击应力强度因子K的过渡过程，极大地提高了计算效率。

In the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. Method of obtaining Greens function fundamental solution is presented. It also illustrates how to deal with inhomogeneous regions and the third boundary condition. At last the numerical solution of boundary integral function is presented.

第二章首先说明了加权余量法的原理，并由此推出了势问题的边界元积分方程，还介绍了无限域中格林函数的基本解的求法，以及多介质域和第三类边界条件的处理方法，最后说明了边界积分方程的数值解法。

To obtain the RCS of dipole-array antennas, the system of electric field integral equations is turned into a linear algebra system whose coefficient matrix is a symmetric block Toeplitz complex matrix by using Calerkin method with pulse basis functions.

为计算线天线阵列的雷达散射截面，用脉冲函数为基函数的Galerkin法将线天线阵列的电场积分方程组转化为一个线性方程组，其系数矩阵是一个对称的二重复Toeplitz矩阵。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。