查询词典 rectangular matrix

Examples illustrate that some special properties of the diagonally dominant matrix with chain of non-zero elements probably doesn't come into existence for quasi diagonally dominant matrix with chain of non-zero elements.

譬如目前关于拟对角占优矩阵的判定定理就有数十条之多[6-7]，至今仍有许多相关结论发表，其中杨志明[1]给出了拟具非零元素链对角占优矩阵的定义，并就这类矩阵的特征值的分布情况进行了讨论。

To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.

对模型方程组进行线性化，得到线性微分-代数方程的状态矩阵A；使用QR法，计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。

At the research course with eigenvalues of digraphs,all need to hold digraph melt into form of matrix,research eigenvalue of matrix again.

在研究有向图的特征值的过程中，都要把有向图化为矩阵的形式，再研究矩阵的特征值。

Based on the table of matrix element of spectrum decomposition, the Helmhotz matrix can be decomposed by recursion of the direct solution. A numerical comparison has been made with the spectrum LU decomposition and direct solution.

通过与谱法分解和直解法在分解精度和分解速度两方面的比较表明，本文方法与谱法相比，在非均匀介质中亥姆霍兹算子矩阵分解时的精度提高10倍；在计算速度方面，混合方法比简化后的直解法快。

Error analysis of direct georefencing is divided into two parts: for attitude angle error, formula is determined by the error of the direction cosine matrix, for other errors, formula is determined by covariance matrix.

为了分析各误差因素对定位精度的影响，分两步建立各误差因素和定位精度的表达式，对于姿态角误差的影响，为避免欧拉角之间的耦合，按照方向余弦矩阵误差定义求取，对于其余误差的影响，采用协方差矩阵求取。

The forward kinematics is analyzed by choosing one of the mechanisms which have one, two,three or zero angle constraint.Wherein,3-CCC is a new parallel mechanism which has three angle constraints and three distance constraints, Calay\'s formular and direction cosine matrix are used to describe the rotation matrix respectively.By setting Dixon\'s and Sylvester\'s resultant with the three angle constraint equations respectively and using parameters replacement to deal with the distance constraint equations,the 64 order input-output equation of the forward kinematics is obtained under both of the methods.Numerical example confirms these theretical results and the motion simulation is shown in VC++ by integrating OpenGL.

3对高小山提出的广义并联机构进行了研究，以其中具有角度约束的并联机构进行了分析，选取具有一个、两个、三个和零个角度约束类型中各一个机构进行了运动学正解求解，其中3-CCC是一种全部由圆柱副构成的具有三个线线角度和三个距离约束的新型并联机构，文中分别用Calay公式和方向余弦两种旋转矩阵建模方法对其位置正解进行了分析，通过对三个角度约束方程分别构造Dixon结式和Sylvester结式，以及对三个距离约束方程进行变量代换分别导出了位置正解输入输(来源：4040ABC论文网www.abclunwen.com)出方程，得出64组位置正解，并使用数值算例验证了其全部根。

Those results make basis for fabricating discontinuously reinforced titanium matrix composites with high properties and broadening the application area of discontinuously reinforced titanium matrix composites.

这些研究为以后制备高性能的钛基复合材料和拓展钛基复合材料的应用领域打下了坚实的理论基础和为批量生成提供了实用途径。

In chapter four, take milk for matrix, traditional matrix solid phase dispersion was improved.

第4章以牛奶样品为研究对象，改进了传统的基质固相分散法的样品前处理方法。

For this reason, the interaction between nanoparticles and matrix and the dispersion state of nanoparticles in matrix will be the most important factor for improving mechanical properties of nanocomposites.

正是这一特点导致纳米复合材料的性能主要受纳米粒子和树脂基体间界面相互作用的影响；同时纳米粒子在聚合物基体中的分散状态也是获得高性能纳米复合材料的关键因素。

The results of DSC and TG studies showed that the blends maintained the heat stability as that of the matrix. The dispersion of the reinforcing phase in the matrix can be well maintain under the circle heating and cooling heat treatment, which is important for its applications.

DSC和TG的研究结果表明，所获得的共混体系基本上保持了基体本身的热稳定性，同时共混体系的热稳定性还受到嵌段共聚物含量的影响；在反复的升降温过程中，嵌段共聚物在基体中的分散状态得到很好的保持，表现出相当的相结构稳定性，这一性质对于材料在工业上的应用意义重大。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。