查询词典 bordered matrix

According to the observation of the microstructure of small diameter lumber with scan electron microscope, there are many bordered pits of the radial trancheidal wall in the small-diameter Larch, and most of them have pit film. The resin is not only in resin canal, but also in some trancheid and ray parenchyma cells. The drying defects of small-diameter Larch lumbers were the most severe in consecution heating, fluctuating-heats 2h in between, and drying defects were nearly not observed in fluctuating-heats 6h. There is tylosis in the vessel of the heartwood of small-diameter Cathay poplar. The bordered pits of the radial trancheidal wall are dense, and the pits between vessels are alternate, most of them have pit film. Different collapse happened in all the small-diameter Cathay poplar lumbers. The collapse of small-diameter Larch lumbers was the most severe with consecution heating, fluctuating-heats 2h in between, the least with fluctuating-heating 6h.

通过扫描电镜观察发现，小径木落叶松的径壁具缘纹孔数目较多，且多具纹孔膜，小径木落叶松除在树脂道中含有树脂外，在一部分管胞胞腔内以及一些木射线细胞中也含有树脂，在产生缺陷的小径木落叶松锯材中，连续加热方式下锯材的开裂缺陷最为严重，波动2时次之，波动6时几乎没有开裂现象；小径木大青杨心材导管中的层状浸填体含量较多，且径壁具缘纹孔较为密集，管间纹孔呈互列方式，绝大多数纹孔具有纹孔膜，干燥后的小径木大青杨锯材均有不同程度的皱缩现象产生，其中连续加热干燥试验锯材的皱缩现象最严重，波动2时次之，波动6时干燥试验锯材的皱缩缺陷最小。

National Flag: The national flag (proportions 5 by 3 when flown on land, but 2 by 1 at sea) is green, with a white-bordered yellow triangle on which is superimposed a black-bordered red triangle.

概况 General 国名：圭亚那合作共和国 Official Name： The Co-operative Republic of Guyana 国旗：三角形箭头象征国家的前进步伐；绿色象征农业和林业等自然资源；白色象征河流和水源；黄色象征矿藏、财富；黑色象征人民勇往直前、坚韧不拔的精神；红色象征人民建设祖国的热情和力量。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

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。

From the history of Matrix and Transformation and the development of curriculum at home and abroad, putting matrix combined with the transformation, and orienting the study in 2×2 rank matrix, boosting matrix up the geometrical visualization as a algebra objects are a new perspective on knowing matrix.

从矩阵和变换的历史发展过程和国内外矩阵和变换的课程设置来看，把矩阵与变换相结合，并定位在2×2阶上研究矩阵，增强作为代数对象的矩阵的几何直观性，是认识矩阵的一个新视角。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

As the widely used resin matrix and composites, two kinds of epoxy matrix and its CF/epoxy composite and GF/composite have different mechanics property under different temperature. The result shows that the thermal property of the composite mainly depends on the matrix. If the matrix can resist high temperature, its composite can also have high strength under high temperature. resin matrix composite, thermal resistance, thermal deformation coefficient, severity retentivity ratio

多年来 ，人们一直致力于耐高温复合材料的研究工作，在耐高温树脂中能经受长期高温氧化的热固性树脂只有聚酰亚胺，本文主要研究三种树脂基复合材料在不同温度下的性能，即以聚酰亚胺为基体的复合材料以及两种环氧基复合材料在不同温度的性能。2 实验2 。1 材料选择研究中所用的增强材料选用英国考陶尔兹公司T30 0型碳纤维和进口UM - 40碳纤维以及南玻院S2高强玻璃纤维

At first, the paper quote a kind of special matrix ---sign symmetric matrix , anti sign symmetric matrix , weakly sign symmetric matrix and introduced some important results in spectral property about them from some bibliographies. And then, the paper extended the formerly results and gave more general conclusions about spectral property of sign symmetric matrix.

本文首先引入了一类特殊矩阵的概念——符号对称矩阵，反符号对称矩阵以及弱符号对称矩阵，在相关文献中对这类矩阵谱特征的已经有了一些结论，本文在前人研究的基础上将相关结论做了进一步的推广，得出了有关这类符号对称矩阵谱特征的更一般性的结论。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。