查询词典 orthogonal decomposition

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

Based on the upper layer heat content data in the global ocean during 1955 to 2003, the spatial and temparal variation characteristics of upper layer heat content anomaly field in the tropical Pacific Ocean and Indian Ocean were analyzed by using the empirical orthogonal function decomposition method.

根据1955-2003年的全球海洋上层热含量资料，利用经验正交函数分解法分析了热带印度洋－太平洋上层热含量距平场的时空变化。

Kent Daniel and Sheridan Titman (2006) find that while a future return is unrelated to the firm's tangible information which is defined as information related to firm's past accounting-based performance, it is strongly negatively related to the intangible information which is orthogonal to the firm's past performance through decomposition of book-to-market ratio.

Kent Daniel和Sheridan Titman（2006）通过对净资产比市值的分解发现股票收益与有形信息（定义为与账面变化有关的信息）无关，而与无形信息（定义为与账面变化无关的信息）负相关。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。