主对角线

A determinant whose only nonzero elements occur in square blocks centered about the principal diagonal is in block- diagonal form.

仅有的非零元素集中于主对角线的方块中的行列式是分块对角形式的。

According to this characteristic, the search matching method of this diagonal line in this calculation is to regard the main diagonal lines as the superior searched route, discard the elements far from the main diagonal lines and it won't generate matching matrix when actually realized. Just regard the present search point as the start point, search matching elements at the small rectangle from the bottom right, regard the element when found as the new start point, so this can happen repeatedly until the ends of the two strings.

根据这个特点，本算法中的对角线搜索匹配算法以主对角线为优先搜索路径，抛弃了离主搜索路径太远的元素，实际实现时，并不需生成匹配矩阵，只以当前搜索点为起点，向右下方向一个小矩形区域上搜索匹配的元素，找到匹配的元素后即以该元素为新的起点，这样无回溯地重复进行直到两个串的未尾为止。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换，得到分块上三角或下三角矩阵，使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

In this note, we show that for any two matrices A and B over a generalized quaternion algebra defined on an arbitrary field F of characteristic not equal to two, if A and B are similar and the main diagonal elements of A and B are in F, then their traces are equal.

本文对于特征不是2的任意域F上定义的广义四元数代数上的两个矩阵A和B，给出如果A和B相似并且它们的主对角线上的元素在F中，那么它们的迹相等。

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。

A shrinking regular BB filter is proposed as a strict one, in which the BB is shrunk after the slope of main diagonal of BB is quantified.

通过量化包围盒的主对角线斜率，并使量化后的包围盒逐渐缩小，提出更加严格的渐缩规整包围盒过滤规则。

In this note, we show that for any two matrices $A$ and $B$ over a generalized quaternion algebra defined on an arbitrary field ${\bf F}$ of characteristic not equal to two, if $A$ and $B$ are similar and the main diagonal elements of $A$ and $B$ are in $\bf F$, then their traces are equal.

本文对于特征不是2的任意域${\bf F}$上定义的广义四元数代数上的两个矩阵$A$和$B$，给出如果$A$和$B$相似并且它们的主对角线上的元素在${\bf F}$中，那么它们的迹相等。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

Therefore, the early use of low-permeability reservoir development Diamond Anti-9:00 Well, diamond crack parallel to the main diagonal directions along the crack edge wells to increase water efficiency by the degree of widening further suppress the injection wells, well away from the row Kadoi premature flooded, and the overall benefit of fracturing; in the latter part of the diamond-shaped anti-9:00 Well Well turn the corner to form staggered rows like water injection means, thereby maintaining a high production rate and phase out the extent of mining.

因此，低渗透油藏开发初期使用菱形反九点井网，菱形主对角线平行裂缝方向，沿裂缝注水增加边井受效程度，拉大的井距又可抑制注水井排的角井过早水淹，且利于整体压裂改造；中后期将菱形反九点井网的角井转注形成交错排状注水方式，从而保持较高的采油速度和阶段采出程度。

The decomposition of the eigenspace of the defective matrix and the general form of Jordan chain ;2. The general form of the maximal Jordan chain s of the defective matrix is getten with the notation of depths of the generalized eigenvectors.

利用广义特征向量的深度，获得极大若当链的一般形式，并推导出在满足PJP-1=SJS-1的2个可逆矩阵P和S之间存在一个主对角线上具有上三角分块Toeplitz子阵的可逆矩阵H，使得S=PH，从而证明广义特征矩阵的唯一性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐