积分的主值

The process of the algorithm include: image enhancement, using self-adapting threshold value reduce redundance, using Hough transformation extract first feature line, according to the vertical projection of the horizontal gradient perform characters line, using the improving Hough transformation with angle constraints acquire the intersection of the two feature lines, according the characters of geometry position to judge the fault.

算法流程包括图像增强，自适应阈值变换滤除无关特征，应用Hough变换提取主特征线条，依据线型特征图像水平梯度沿垂直方向的积分投影定位主特征线，基于极角约束Hough变换推出两条主特征线交点，最后根据安全链和支架的几何形态特征判读故障。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

In chapter 1, we introduce some notions and some classical results related to this paper, such as Cauchy type integral as well as the limiting value of Cauchy integral and so on.

第一章介绍了本文涉及到的知识背景和相关的基本概念：Cauchy型积分，Cauchy主值积分等，以及本文要用到的与它们有关的一些经典结果。

A direct method is implemented for computing the free-term coefficient and the Cauchy principal value integral in the higher-order boundary element method for potential flow.

采用直接数值计算方法计算了势流问题高阶边界元方法中的自由项系数和柯西主值积分，建立了波浪与结构物作用的一种高阶边界元方法。

In addition, the natural BIE only contains Cauchy principal value integrals.

自然边界积分方程仅存在容易计算的Cauchy主值积分。

The final result indicates that in the expression of the completeness relation,the integral path is along the real axis from -∞ to ∞ but runs over near the origin,which is contrary to the Cauchy principal value appearing in previous works.

同时得到展开式中的积分是沿实轴从-∞到∞，但在原点附近将从上方绕过。这不同于过去所得的C auchy主值积分。为最明确显示这一差别，在单孤子情况下又用平方Jost函数的显式，直接作了验证。

This article discusses the use of the theorem of the residues to calculate Cauchy's Principal values of the improper integral, where auxiliary function has poles of higher order on the real axis and proposes a new theorem of culcuation.

在复函中应用留数定理计算广义积分的科希主值时，许多著作仅讨论了辅助函数在实轴上有一阶极点的情形[1-3]，有的则认为：辅助函数"在实轴上的奇点不能是二阶或二阶以上的极点["4，5]。

This method ensures the integral request along the main diagonal of Aumann-Shapley value formula, and realizes the reasonable sharing of the security cost between consumers and power suppliers and between the bilateral transactions of using the congested line.

该方法保证了Aumann-Shapley值求取公式中沿主对角线积分的要求，使安全成本可合理地分摊给各个用户和发电商，以及使用阻塞线路的双边交易。

The following are main contents studied: A finite element method for Navier-Stokes equation with ALE formulation is considered and by combined with theNewmark method of numerical intergration a pressure correction scheme is obtained for the solution of the FE formulation of N-S equation. Because the incompressibility condition can be satisfied approximately in this scheme, the interpolation functions of elements can be equalorder for the velocity field and pressure field. In the ALE formulation the fluid-solid interaction analysis became a three-field coupling problem of the fluid field, the solid field and the fluid dynamic mesh. The properties and charactiristices of this three-field coupling problem are deeply discussed.

研究的主要内容有：主容器中流体大晃动是一种强非线性问题，文中研究了求解ALE描述的粘性流体N-S方程的有限元方法，以有利于大晃动自由液面的跟踪和流体大晃动中非线性现象的描述；并结合Newmark数值积分法推出了求解ALE型N-S方程的压力修正解法，由于这种解法可以近似满足不可压条件，因此可以采用速度场和压力场等阶插值的有限元离散格式，从而较好地解决了普遍采用的不等阶插值解法中，速度场和压力场数值精度不一致、程序编制不便等的不足。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。