大括号用于列矩阵。
给定一个M行N列矩阵，用对角顺序返回矩阵的所有元素。
Given a matrix of Mx N elements (M rows, N columns), return all elements of the matrix in diagonal order.
最有效的方式进行这一步，创建一个四列矩阵，如下图表所示。
The most effective way to perform this step is to create a four-column matrix, as illustrated in the table below.
大括号用于列矩阵，以便使列矩阵与矩形矩阵区分开，矩形矩阵通常采用方括号。
Braces are used for the column matrices to distinguish them from rectangular matrices usually put in square brackets.
这些是一个矩阵的行和列。
第一个方程中的-1倍，第二个方程中的2倍，第三个中的-3倍，它是我的矩阵中的第二个列。
There is minus 1 in the first equation, 2 in the second and maybe minus 3 in the third. It's just the second column of my matrix.
这两项设置让我们能将网格第一列转换成矩阵的竖直维度。
These two Settings allowed us to start converting the first column of the grid into the vertical dimension of the matrix.
矢量图，我现在，我想要寻找矩阵的列，我想要找寻这部分和这部分。
So the column picture... I'm now, I gonna look at the columns of the matrix, I'm gonna look at this part and this part.
填入竖直维度的标题数据是将网格最左侧列转换成矩阵竖直维度的第二步，也是最后一步。
Filling in the data for the titles of the headers of the vertical dimension is the second and final step for turning the left-most column of the grid into the vertical dimension of the matrix.
正如在表1里看到的，框架矩阵由代表一个项目的六行和六列组成。
As you can see in Table 1, the framework matrix is composed of rows representing six organizational perspectives and six columns representing fundamental aspects of a project.
意思是：，把矩阵的行写成列，反之亦然。
It means: you read the rows of your matrix and write them as columns, or vice versa.
切换矩阵的行与列的操作可以帮助您快速地更改矩阵视图。
An operation to switch rows and columns of a matrix helps you quickly change the matrix view.
简单来说，可以将它看作是一个矩阵，其中一列包含内存地址，另一列包含源triplet(文件、代码行和列)。
In the simplest form, this can be looked at as a matrix with one column containing the memory addresses and another column containing the source triplet (file, line, and column).
取这三个列向量的线性组合，试着去找到b，事实上，针对这个矩阵的答案是对的。
I'm taking linear combinations of these 3 columns and I'm trying to find b, and actually the answer for this matrix will be yes.
这意味着他们要构造一个453,060行、453,060列的矩阵，总共由2050亿项组成。
That meant they had to devise a matrix with 453, 060 rowsand the same number of columns. In total this gives 205 billion entries.
那是x倍，有2倍的x在第一个方程中，-1x,没有x在第三个方程中，这就是第一个矩阵的列。
That's x times, so there are 2 xs in the first equation, minus 1 xs, I'm just take no xs in the third, it's just the first column of that.
在矩阵中，每一行确定了一个测试用例，而每一列则代表一个参数。
In the matrix, each row specifies a test case and each column is a parameter setting.
矩阵的列向量。
一旦我们指定的单个事实表中，我们可以列补充矩阵列来表示事实表的粒度和相应的事实(确切，计算或预示)。
Once we've specified the individual fact table, we can supplement the matrix with columns to indicate the fact table's granularity and corresponding facts (actual, calculated or implied).
度量候选断点的重要性不但要考虑该矩阵的列方向特征，而且还要以适当的方式考虑矩阵的行方向特征。
When measuring the importance of a candidate cut, both the characteristics of columns and rows of this matrix should be reasonably taken into consideration.
本文给出了证明矩阵行空间维数等于列空间维数的另一种较简单的证法，以及解决几个相关问题的捷径。
This paper give an expositior of simple way to display that the dimension of row space of matrix equals to the dimension of column space and some shortcuts to solve the problems concerned.
应用分块技术将大系统分割为若干子系统，求出节点阻抗矩阵中相关的列。
The large system is divided into several subsystems by using diakoptical technique, and related rows of nodal point impedance matrices are solved.
文章利用矩阵的行向量组和列向量组的极大无关组刻画了矩阵半群中的格林关系。
In this paper, we described the green relations on matrix semigroup through the vector maximal independent subset of matrix.
该算法在可控性矩阵中将输入矩阵用其列向量的极大线性无关组代替，并使用矩阵的行初等变换；
By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.
求出使最优解或最优基保持最优的消耗系数矩阵中列向量和行向量的可变范围。
The variable ranges of vectors in consumption coefficient matrix for which the optimal solution or optimal basis remain invariable are determined.
在训练阶段，从人脸图像集中选取大量人脸图像的信息矩阵的奇异值向量作为矩阵中的一列而构成的人脸图像集特征矩阵。
In training phase, singular value vector of a lot of face image information matrix from face image sets constitutes face image sets characteristic matrix as a column.
通过对时间表问题的认识，设计了求解该问题的遗传算法。给出了矩阵编码，和针对矩阵行、列操作的遗传算子并给出了一个实例。
This paper design the generic arithmetic about the Time Table Problems, give out the matrix coding and generic arithmetic operators base on matrix row, line. A example is given.
通过对时间表问题的认识，设计了求解该问题的遗传算法。给出了矩阵编码，和针对矩阵行、列操作的遗传算子并给出了一个实例。
This paper design the generic arithmetic about the Time Table Problems, give out the matrix coding and generic arithmetic operators base on matrix row, line. A example is given.
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