向量和

Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

Area and circularity act as two elements of the eigenvector for they can remarkably characterize the surface area of the bubbles.

由于分类的依据是气泡表面积的大小，确定了圆面积和圆形度两个最能表征类圆形表面积的分量组成分类特征向量。

In analyzing the symmetrical element features of power system, the definition of circulator element and circulator node is developed.

通过对相分量法短路故障处理的分析，以定长度向量方程的多态相分量法为基础，提出了用于处理电力系统短路故障的残量变换法和残压变换法。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论，tame concealed代数模范畴的结构，单点扩张，向量空间范畴，有限enlargement，退化理论，稳定等价以及组合的方法等多种方法和技巧，将所有由系统箭图Q给出的三点代数按表示型进行分类，得到如下分类定理：Q是系统箭图，I是kQ的一个admissible理想。

In the first part, for competitive discrete-time dynamical systems on a strongly ordered topological vector space, we prove that any α-or ω-limit set is unordered and lies on some invariant hypersurface with codimension one, which generalizes M.

在第一部分中，对于强序拓扑向量空间上的竞争离散动力系统，我们研究了极限集的序结构和极限集的几何位置，证明了任何α-或ω-极限集是无序的且位于一个完全无序的，余维为1的不变Lipschitz流形上。

The paper includes the constitutes of system hardware, image pretreatment, the achievement of parameter detection artithmetic. The main work is as follow: The pater makes use of vanguard genetic algorithms in image segmentation, uses vanguard genetic algorithms to get the image threshold. Using this method we may get different grey vehicles from the background exactly. Used the support vector machine theory to conduct the vehicles automatic sorting simulation research, the simulation result had proven this method could quite be accurate carries on the vehicles type the recognition; Improved based on the background automatic renewal hypothesized examination region algorithm, enhanced timeliness and the accuracy which the vehicles examines; And to has carried on the specify based on the hypothesized examination region imagery processing algorithm realization; In the paper also introduced withdraws the algorithm based on the gradation continuous movement vehicles characteristic to carry on the vehicles the characteristic to withdraw as well as to use the localization method which colored filter same gradation chart processing unifies to carry on the realization method which the vehicles license plate locates.

本文根据智能交通控制与仿真对于交通流量、车辆到达率、车辆速度等交通信息检测的需求，基于视频图像进行了交通信息处理的算法研究与实现，主要工作包括以下几个方面：将先锋遗传算法应用到图像阈值分割中，利用先锋遗传算法寻求全局最优阈值，可以比较准确的将图像中不同灰度的车辆从背景中分离出来；采用支持向量机理论进行了车辆自动分类的仿真研究，仿真结果证明该方法能够比较准确的将车辆的类型进行识别；改进了基于背景自动更新的虚拟检测区域算法，提高了车辆检测的实时性和准确性；并对基于虚拟检测区域的图像处理算法实现进行了详细说明；论文中还介绍了基于灰度连续性的运动车辆特征提取算法进行车辆的特征提取以及采用彩色过滤器同灰度图处理相结合的定位方法进行车辆牌照定位的实现方法。

Additionally, X can be a row or a column vector, and Y a matrix with length rows.

此外，第十，可从一排或一列向量，和Y矩阵与长度的行。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

We would like to know the number of rows and number of columns.

我们想要知道向量的行数和列数。

And then, this paper provides a new method of sensitivity analysis which is based on the cosine of vectors'angle. Finally this paper makes compositor and sensitivity analysis on the model of urban sewage dealing factory constructing project.

最后，论文将提出的改进后的多属性评价方法以及基于向量夹角的权重敏感性分析法对城市污水处理厂建设项目评价模型进行了排序并对其权重敏感性进行了分析和度量，应证了论文的观点、方法与结论。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。