阵

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

This thesis has mainly contributed two results in theory: one is that the covariance matrix is not positive definitive if the number of sampling is least than the number of variables, the other is that the covariance matrix of discrete sample is positive definitive if and only if the sum of every random column vector of data matrix is non I-linear combination.

本论文在理论上，主要得出两个新的结果：ⅰ抽样调查中，若样本的个数少于变量的个数则样本协方差矩阵恒为非正定；ⅱ离散型样本协方差矩阵正定的充要条件是样本资料阵的各随机列向量是非I-线性组合。

I intend to use the VLA as my command post.

我计划使用甚大天线阵作为总指挥部

980Nm VCSEL array was fabricated and the comparison of output power and spectrum of array device with single device of same active area was analyzed.

研制出980nm 垂直腔面发射激光列阵，测试了输出功率和光谱，并与相同出光面积的单管器件进行了比较。

Variance component model of the random effects of covariance matrix unit for the "Linear model introduction" matrix has been studied.

方差分量模型的随机效应的协方差为单位阵时《线性模型引论》已进行研究。

Like the numerator relationship matrix used in the traditional trait BLUP, in random QTL effect model of trait-marker BLUP, before estimating the variance component of QTL, the conditional relationship coefficient of additive QTL effects or the probabilities of being identical by descent of QTL alleles among relatives should to be known.

将QTL作为随机效应，和传统T-BLUP中分子血缘相关阵类似，在采用TM-BLUP进行种畜遗传评定，以及在进行QTL方差组分估计以前，首先要知道有亲缘关系个体QTL加性遗传效应间条件相关系数或基因同源相等的概率。

By talking above problems, the paper brings forward a new concept that is called the background information of grid creation, and thinks over three points of the improvement of front advance, and puts forward and talks the essential of judging whether the polygon is concave or protruding and six practical methods.

在探讨过程中，本文提出了背景信息这一概念，考虑了改进阵面推进法的三个要点，提出并详细讨论了判断多边形凹凸方法的实质和六种实用方法，此外还着重对网格粗细会对数值计算产生什么影响及如何产生影响作了较严格的分析。

The condition number of modified Lagrange function's Hessian is estimated, which also depends on the penalty parameter.

最后估计了修正Lagrange函数的Hesse阵的条件数，它同样依赖于罚参数。

Experimental results show the recognition rate of the method is 95%for a known expresser and 72% for a novel expresser. Aiming at the shortcomings of optical flow technique,two improved optical flow algorithms are presented.One way is to introduce forward and backword constraint eqution and Hessian matrix of optical flow equation is computed.The well- posedness of each point of local neighbourhood is examined and the weight of Lucas-Kanade's method is defined as the reciprocal of the conditioning number of its Hessian Matrix.

3针对传统光流法的缺点，分别提出了两种不同的改进方法：其一为引入前向-后向光流方程，计算其Hessian矩阵，把Hessian矩阵条件数的倒数作为Lucas-Kanade光流法的加权阵，可有效消除局部邻域中不可靠约束点，同时提高基本约束方程解的稳定性；其二为针对传统光流法只适用于刚体运动的特点，在扩展约束光流方程的基础上引入了div-curl样条函数作为扩展光流约束方程的附加约束条件，给出了一阶和二阶div-curl样条约束下光流的数值解。

The research will provide technique references for the further research of conformal array.

本文的研究成果可以为共形阵的进一步研究提供参考。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。