查询词典 density matrix

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。

Consider singular growth curve model as follows : Y = ABC + E , where A , C are all known matrices, B is an unknown matrix of regression coefficients , Y is a matrix of observations and E =(1,(2),...

中文摘要：考虑奇异增长曲线模型：Y=ABC+E，其中A、C均为已知矩阵，B是未知回归系数阵，Y为观测资料阵，E=ε_((1)…ε_(n′为随机误差阵，假定Eε_(iε_(i′=∑，i=1，2…n，Eε_(iε_(j′=0，i≠j，这里∑≥0。

The recursive algorithm is considered as finding the optimal solution of transformation matrix from the nonlinear matrix equation.

通过对特征选择矩阵方程的推导和迭代算法的构造，实现了相应于不同最小错误概率上界的特征选择。

The MATRIX record represents a standard 2x3 transformation matrix of the sort commonly used in 2D graphics.

矩阵数据块描述一个标准2x3的用于普通二维图形的变换矩阵类。

In this paper, the essential problems about the transformation matrix of B-spline bases-the conditions of existence, the analytic representation and the computational formulas of the transformation matrix are studied, and the results in those aspects are given.

本文研究其最基本的问题：存在性条件、解析表示和计算方法，利用差商展开系数得到了上述问题的有关结果。

The major foundation is that the rank of the matrix should be kept alike after making primary transformation of the matrix consists of transformation of lines and transfortmation of rows,here are mainly the instances of the transformation of lines.

主要依据是矩阵的初等变换在变换前后保持矩阵的秩不变，矩阵的初等变换包括行初等变换和列初等变换。这里主要以行初等变换为例。

The LM Algorithm is used in parametric automatic optimization of the transformation matrix in Image Mosaic. After parametric automatic optimization of corresponding points, the transformation matrix is quickly got, and then the image mosaic is realized.

将LM算法应用于图像拼接过程中变换矩阵的参数自动优化中，通过对多个对应点的自动优化后，可以较快得到变换矩阵，从而实现图像拼接。

Camera calibration is done to get inter nal projection matrix of cameras and the rotation transformation matrix and tran slation vector between two camera coordinate system.

算法通过相机标定获得投影矩阵、相机坐标系间的旋转变换矩阵和平移向量。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。