查询词典 vector decomposition

Based on wave propagation feature, this paper analyses 3D seismic migration algorithms such as alternating direction implicit method, LU decomposition method, and inverse operator approach method. The result shows that the alternating direction implicit method is fast but causes distortion in wave field extrapolation and affects image accuracy; however LU decomposition and inverse operator approach methods are fast while holding circular symmetry of wave field, and are promising in oilfield exploration and development.

在波的传播特征分析基础上，对交替方向隐式法、LU分解法、逆算子逼近法等三维地震偏移算法进行了分析研究，结果表明，交替方向隐式法虽然快捷但是在波场外推中明显产生畸变并影响成像的准确性，而LU分解和逆算子逼近法是保持波场圆对称特征前提下的快速算法，在油田勘探开发中具有较好的应用前景。

The phenolic acid content of litter was significantly reduced with the decomposition time prolonging, and the releasing quantity of phenolic acid was the highest at the tenth day. The amounts of soil Aerobic azotobacter, Ammonifier and Aerobic cellulose-decomposer and the soil chemical properties such as pH, phenolic acid content, NH+4-N and available phosphorus were significantly affected by the litter aqueous extract of four decomposition stages.

凋落物分解的60 d中，凋落物残留量在前30 d内变化最大，30 d后无显著变化；凋落物中酚酸含量随分解时间的延长，呈显著降低的趋势，且在分解10 d时，酚酸释放量最大。4个分解动态的凋落物浸提液显著地改变了土壤好气性自生固氮菌、氨化细菌、好气性纤维素分解菌的数量和土壤pH值、酚酸含量、铵态氮、有效磷等化学性质。

Firstly the Pauli decomposition is used to separate both the symmetric part and antisymmetric part of a multi-look image, then the Krogager decomposition is applied to extract the polarimetric feature of the symmetric image, at last an AdaBoost classifier is adopted to improve the classification performance.

首先利用Pauli分解分离出多视复图像数据的对称部分和非对称部分，然后利用Krogager分解提取出对称部分的极化特征，最后利用AdaBoost算法对所提取的极化特征进行分类。

By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio, the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained.

通过分析噪声误差，提出采用奇异值总体最小二乘(singular value decomposition total least squares，SVDTLS)算法进行间谐波频率估计，即同时考虑矩阵方程两边的噪声干扰，采用SVDTLS算法求解该情况下的最小范数解，通过对增广矩阵进行奇异值分解(singular value decomposition，SVD)，采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算，得到了较精确的间谐波频率估计结果。

Experiment results show that binary tree SPIHT suits to true bidimensional wavelet decomposition and it is testified that in true bidimensional wavelet decomposition, the compression effect is comparable between image decomposed by wavelet FB with low order VMs but good interpolating characteristic and that with higher order VMs.

实验证实了二叉树的编码更适合纯二维小波分解，同时也证实了在纯二维小波分解中内插性能好的低阶消失矩的小波滤波器能够产生与高阶消失矩的小波滤波器相同或更好的压缩效果。

Quaternion matrix, singular value decomposition, CS decomposition,canonical angle.

由于四元数矩阵乘法运算的复杂性，利用【n，12}的方法很难求出具体的奇异值分解式来。

Based on the projection theorem in the finite-dimensional inner product space, by making use of the generalized singular value decomposition and the canonical correlation decomposition of matrix pair simultaneously, we transform the least-squares problems of the abovementioned inconsistent matrix equations into the problems of solving the consistent matrix equations over given matrix set, and obtain the general expressions of the corresponding least-squares solutions.

S使得‖-X~*‖=‖-X~*‖，其中‖·‖为Frobenius范数，S分别表示矩阵方程 AXB=D，AXA~T+BYB~T=D，AXB+CYD=E和矩阵方程组=，=在一般矩阵集合或对称矩阵集合上不相容时的最小二乘解集合。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

Wild tea oil's monounsaturated acid, with the body's decomposition of alcohol-producing role, has been converted into the energy decomposition of carbonic acid gas, blocking fat in the visceral and subcutaneous generated fundamentally gets rid of excess fat on the blood sugar.

野茶油的单不饱和酸，能与体内的分解醇素产生作用，被碳酸气分解转换为能量，阻断脂肪在内脏及皮下生成，从根本上清除体内多余脂肪血糖。

The activation energy of cellular decomposition calculated by DSC date was 88.24kJ/mol, which showed that the decomposition was controlled by Zn atom diffusion.

DSC数据计算得出，胞状分解的相变激活能为88.24kJ/mol，表明其分解主要受锌原子扩散控制。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。