边界点

Practicability of Surface Evolver in evolving prediction of SMT solder joint is reviewed and validated. Chapter five: finite element analysis method based on minimal energy principle with application of Surface Evolver is firstly used in evolving prediction of the kind of BGA solder joint shape.

基于最小能量原理的有限元数值分析方法与边界值积分数学分析方法相比，能更有效地求解各类SMT焊点三维形态成形预测问题，并具有很好的热应力分析延续性和良好的分析精度。

It is show that if one chooses the field points appropriately, the set of finite difference equation is applicable for a boundary condition involving perfectly conducting surfaces.

如果选定恰当的域点，差分方程组加上适用的边界条件可以很好的模拟表面。

At the same time, the mix fixed point method and the nonsmooth Newton method for finite element method are also presentedBased on the Gauss point method for seepage problem with free surface, the non-smooth equations model for seepage problem is proposed as well as the mix fixed point method which belongs to the fixed mesh method.

本文根据近些年来求解可动边界的经验和非光滑分析的发展，建立了求解渗流自由面的数学模型，提出了求解渗流自由面的有限元混合不动点法和非光滑牛顿法。

Under Sturm-Liouville conditions, the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem.

利用Leggett-Williams不动点定理，研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性，得到了至少三个正解存在的充分条件。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

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。

Finally, the run-length of data points are extracted by horizontal projection, and the modules corresponding to the run-length are taken to decode.

而拍照所造成条码边界的形变，利用反透视转换(Inverse Perspective Transformation)来校正。最后以水平投影的方式撷取出资料点的长度，转换成对应的模组来进行解码的动作。

In Chapter 2,we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.

在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。

In the paper, a modified Similarity Measure Function, called Dsim, is proposed in order to solve the problem of non-contrasting behavior high dimensional space, and then a learning algorithm, called DCFCM, is advanced through the combination of Dsim and Approximated K-median and applied in intrusion detection which solves the problem of sharp border effecting problems and realizes the detection of abnormal incurrence.

本文将首先提出新的相似度函数Dsim，有效地解决了高维空间聚类选维和降维问题，实现了高效的聚类了；接着将Dsim与近似K-medians算法相结合，提出了新的模糊聚类算法----DCFCM，并将其用于入侵检测。解决了由尖锐边界、孤立点所带来的误报警和漏报警问题，实现了对异常行为的检测。

According to longitudinal vibration partial differential equation of rod, the longitudinal vibration displacement response of uniform infinite rods by the harmonic point forces was derived.

longitudinal vibration ； wave approach ；从杆纵向振动的偏微分方程出发，推导了无限长杆在简谐点力作用下的纵向振动位移响应，在此基础上，基于结构线性假设和波的叠加原理，得出了有限长梁纵向振动谐响应的波动表达式，列出了常用的边界条件。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新