查询词典 rectangular matrix

Inverse eigenvalue problem; Constrained matrix equation problem; Procrustes problem; Matrix norm; Optimal approximation solution

矩阵逆特征值问题；约束矩阵方程问题； Procrustes问题；矩阵范数；最佳逼近解

Firstly, we select features by using CHI distribution. Secondly, we cluster the selected features by using an improved method which based on density. In virtue of the sort distribution information, we reduce the number of features twice and the information lost few. Lastly, based on the sort of texts, we use the distributing of probability to express text with matrix. By using matrix norm, we realized the text categorization.

首先通过分布对特征项进行选择，然后使用一种改进的基于密度聚类方法对选择后的特征项进行聚类，借助类别分布信息，在尽量减少信息缺失的前提下先后两次对文本特征维数进行了压缩；在基于类别概率分布的模式下实现文本的矩阵表示，借助矩阵理论进行文本分类。

So I always will think of this as a matrix A, the matrix of coefficients.

然后是未知数向量，未知数向量我们经常用X表示，大写的X。

We also believe that we can compare the enterprises in the same industry with Matrix of Direct Input Coefficients and Matrix of Cumulative Input Coefficients. In our practical analysis and demonstration, we analyze the main expenses of the enterprises linking with their value-added.

同时，发现可以用投入产出表中的直接消耗系数表和完全消耗系数表对处于同一行业的企业作对比分析，可以将企业的相关费用与企业创造的增加值结合起来作对比分析。

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

讨论了在系数矩阵可逆的前提下，如何用初等变换的方法直接求解矩阵方程，使求解过程更简化，同时给出一般线性方程组的初等变换直观解

In the computation of the influence matrix of resistance coefficients, the microcosmic analysis is replaced with the analytic solution,which ensures the accuracy of the influence matrix of resistance coefficients.

通过采用直接求解析解的方法取代管网微观分析方法，来计算阻力特性系数影响矩阵，确保了阻力特性系数影响矩阵的准确性，提高了测点优化计算的精度。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

In order to find a powerful assistant computation tool for further analysis and design of multilayer optical coatings,an analytical model is mathematically established for accurate calculation of the first and second derivatives of the spectral coefficients of multilayer optical coatings with respect to layer parameters like thickness,real refractive index and extinction coefficient. It is based on the matrix theory of calculating the spectral coefficients of multilayer optical coatings and is achieved by perfectly using the trace operation of matrix.

为了寻找一种膜系深入分析与设计的有力辅助计算工具，从光学薄膜光谱系数的矩阵计算理论出发，基于对矩阵求迹运算的巧妙运用，从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。

Then the matrix of all demand coefficients , that is the extended Leontief converse matrix, is introduced under the condition of including coal resources department and pollution department and the general model of demand prediction of coal resources was concluded.

结合陕西省软科学研究课题"陕西省煤炭资源的可持续发展研究"，作者以2001年数据资料为依据，编制出陕西省2001年煤炭资源投入产出表，建立陕西省2001年煤炭资源投入产出数学模型。

First,the feature subspaces are formed from different pose images using ICA and PCA.Then the pose image is transformed into its corresponding frontal face image using the transformation matrix predetermined by learning.Based on this foundation,the wavelet transform is applied to face images,and the authors compare the frontal face feature coefficients directly which are obtained by using the transformation matrix with the feature coefficients of the original face images,the recognition rate is improved greatly.

首先利用ICA和PCA提取不同姿态人脸的特征子空间，然后利用通过训练得到的姿态转换矩阵合成其相对应的正面人脸图像，实验表明ICA人脸识别算法要优于PCA人脸识别算法，并在此基础上用小波对人脸图像进行预处理，据姿态转换矩阵得到的正面人脸特征系数直接进行分类比较，识别率得到了很大的提高。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样